%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU253+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 : n008.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 08:51:08 AM UTC 2026 % Result : Theorem 34.97s 35.14s % Output : Proof 34.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU253+2 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.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 16:48:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.56 %----Proving TF0_NAR, FOF, or CNF % 34.97/35.14 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.97/35.14 --- Run --no-e-matching --full-saturate-quant at 6... % 34.97/35.14 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.97/35.14 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.97/35.14 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.97/35.14 % SZS status Theorem % 34.97/35.14 % SZS output start Proof % 34.97/35.14 ( % 34.97/35.14 (declare-sort $$unsorted 0) % 34.97/35.14 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.connected (-> $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.empty_set $$unsorted) % 34.97/35.14 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.empty (-> $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.function (-> $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.transitive (-> $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.relation (-> $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 34.97/35.14 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 34.97/35.14 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.97/35.14 (define @t1 () (@var "A" $$unsorted)) % 34.97/35.14 (define @t2 () (@var "B" $$unsorted)) % 34.97/35.14 (define @t3 () (tptp.in @t2 @t1)) % 34.97/35.14 (define @t4 () (not @t3)) % 34.97/35.14 (define @t5 () (tptp.in @t1 @t2)) % 34.97/35.14 (define @t6 () (@list @t1 @t2)) % 34.97/35.14 (define @t7 () (tptp.proper_subset @t2 @t1)) % 34.97/35.14 (define @t8 () (tptp.proper_subset @t1 @t2)) % 34.97/35.14 (define @t9 () (tptp.function @t1)) % 34.97/35.14 (define @t10 () (tptp.empty @t1)) % 34.97/35.14 (define @t11 () (@list @t1)) % 34.97/35.14 (define @t12 () (tptp.epsilon_connected @t1)) % 34.97/35.14 (define @t13 () (tptp.epsilon_transitive @t1)) % 34.97/35.14 (define @t14 () (and @t13 @t12)) % 34.97/35.14 (define @t15 () (tptp.ordinal @t1)) % 34.97/35.14 (define @t16 () (tptp.relation @t1)) % 34.97/35.14 (define @t17 () (tptp.one_to_one @t1)) % 34.97/35.14 (define @t18 () (and @t16 @t9 @t17)) % 34.97/35.14 (define @t19 () (and @t16 @t10 @t9)) % 34.97/35.14 (define @t20 () (and @t13 @t12 @t15)) % 34.97/35.14 (define @t21 () (tptp.unordered_pair @t1 @t2)) % 34.97/35.14 (define @t22 () (tptp.set_union2 @t2 @t1)) % 34.97/35.14 (define @t23 () (tptp.set_union2 @t1 @t2)) % 34.97/35.14 (define @t24 () (tptp.set_intersection2 @t1 @t2)) % 34.97/35.14 (define @t25 () (tptp.ordinal_subset @t1 @t2)) % 34.97/35.14 (define @t26 () (tptp.ordinal @t2)) % 34.97/35.14 (define @t27 () (and @t15 @t26)) % 34.97/35.14 (define @t28 () (@var "D" $$unsorted)) % 34.97/35.14 (define @t29 () (@var "C" $$unsorted)) % 34.97/35.14 (define @t30 () (= @t29 @t28)) % 34.97/35.14 (define @t31 () (tptp.in @t29 @t1)) % 34.97/35.14 (define @t32 () (tptp.ordered_pair @t29 @t28)) % 34.97/35.14 (define @t33 () (tptp.in @t32 @t2)) % 34.97/35.14 (define @t34 () (@list @t29 @t28)) % 34.97/35.14 (define @t35 () (tptp.identity_relation @t1)) % 34.97/35.14 (define @t36 () (= @t2 @t35)) % 34.97/35.14 (define @t37 () (tptp.relation @t2)) % 34.97/35.14 (define @t38 () (tptp.subset @t2 @t1)) % 34.97/35.14 (define @t39 () (tptp.subset @t1 @t2)) % 34.97/35.14 (define @t40 () (= @t1 @t2)) % 34.97/35.14 (define @t41 () (@var "E" $$unsorted)) % 34.97/35.14 (define @t42 () (tptp.ordered_pair @t28 @t41)) % 34.97/35.14 (define @t43 () (tptp.in @t42 @t1)) % 34.97/35.14 (define @t44 () (tptp.in @t28 @t2)) % 34.97/35.14 (define @t45 () (tptp.in @t42 @t29)) % 34.97/35.14 (define @t46 () (@list @t28 @t41)) % 34.97/35.14 (define @t47 () (tptp.relation_dom_restriction @t1 @t2)) % 34.97/35.14 (define @t48 () (tptp.relation @t29)) % 34.97/35.14 (define @t49 () (@list @t2 @t29)) % 34.97/35.14 (define @t50 () (tptp.in @t41 @t2)) % 34.97/35.14 (define @t51 () (tptp.relation_dom @t1)) % 34.97/35.14 (define @t52 () (@list @t41)) % 34.97/35.14 (define @t53 () (tptp.in @t28 @t29)) % 34.97/35.14 (define @t54 () (@list @t28)) % 34.97/35.14 (define @t55 () (= @t29 (tptp.relation_image @t1 @t2))) % 34.97/35.14 (define @t56 () (and @t16 @t9)) % 34.97/35.14 (define @t57 () (tptp.in @t41 @t1)) % 34.97/35.14 (define @t58 () (tptp.relation_rng_restriction @t1 @t2)) % 34.97/35.14 (define @t59 () (@list @t29)) % 34.97/35.14 (define @t60 () (tptp.relation_field @t1)) % 34.97/35.14 (define @t61 () (tptp.antisymmetric @t1)) % 34.97/35.14 (define @t62 () (tptp.apply @t1 @t28)) % 34.97/35.14 (define @t63 () (tptp.in @t28 @t51)) % 34.97/35.14 (define @t64 () (= @t29 (tptp.relation_inverse_image @t1 @t2))) % 34.97/35.14 (define @t65 () (tptp.connected @t1)) % 34.97/35.14 (define @t66 () (tptp.transitive @t1)) % 34.97/35.14 (define @t67 () (tptp.in @t41 @t28)) % 34.97/35.14 (define @t68 () (@list @t1 @t2 @t29 @t28)) % 34.97/35.14 (define @t69 () (tptp.singleton @t1)) % 34.97/35.14 (define @t70 () (tptp.succ @t1)) % 34.97/35.14 (define @t71 () (@list @t2)) % 34.97/35.15 (define @t72 () (tptp.in @t29 @t2)) % 34.97/35.15 (define @t73 () (tptp.is_reflexive_in @t1 @t2)) % 34.97/35.15 (define @t74 () (= @t2 tptp.empty_set)) % 34.97/35.15 (define @t75 () (= @t2 (tptp.set_meet @t1))) % 34.97/35.15 (define @t76 () (= @t1 tptp.empty_set)) % 34.97/35.15 (define @t77 () (tptp.in @t29 @t28)) % 34.97/35.15 (define @t78 () (tptp.in @t28 @t1)) % 34.97/35.15 (define @t79 () (not @t76)) % 34.97/35.15 (define @t80 () (= @t28 @t2)) % 34.97/35.15 (define @t81 () (tptp.powerset @t1)) % 34.97/35.15 (define @t82 () (tptp.in @t32 @t1)) % 34.97/35.15 (define @t83 () (tptp.empty @t2)) % 34.97/35.15 (define @t84 () (tptp.element @t2 @t1)) % 34.97/35.15 (define @t85 () (not @t10)) % 34.97/35.15 (define @t86 () (@list @t1 @t2 @t29)) % 34.97/35.15 (define @t87 () (not @t74)) % 34.97/35.15 (define @t88 () (tptp.well_founded_relation @t1)) % 34.97/35.15 (define @t89 () (@var "F" $$unsorted)) % 34.97/35.15 (define @t90 () (tptp.cartesian_product2 @t1 @t2)) % 34.97/35.15 (define @t91 () (not @t72)) % 34.97/35.15 (define @t92 () (= @t2 @t29)) % 34.97/35.15 (define @t93 () (not @t92)) % 34.97/35.15 (define @t94 () (tptp.in @t2 @t29)) % 34.97/35.15 (define @t95 () (forall @t59 (=> @t31 @t72))) % 34.97/35.15 (define @t96 () (= @t29 tptp.empty_set)) % 34.97/35.15 (define @t97 () (tptp.subset @t29 @t2)) % 34.97/35.15 (define @t98 () (tptp.is_well_founded_in @t1 @t2)) % 34.97/35.15 (define @t99 () (forall @t54 (= @t53 (and @t78 @t44)))) % 34.97/35.15 (define @t100 () (= (= @t29 @t24) @t99)) % 34.97/35.15 (define @t101 () (forall @t86 @t100)) % 34.97/35.15 (define @t102 () (tptp.apply @t1 @t2)) % 34.97/35.15 (define @t103 () (= @t29 @t102)) % 34.97/35.15 (define @t104 () (tptp.in @t2 @t51)) % 34.97/35.15 (define @t105 () (tptp.ordered_pair @t2 @t29)) % 34.97/35.15 (define @t106 () (tptp.in @t105 @t1)) % 34.97/35.15 (define @t107 () (tptp.in (tptp.ordered_pair @t28 @t29) @t1)) % 34.97/35.15 (define @t108 () (tptp.is_antisymmetric_in @t1 @t2)) % 34.97/35.15 (define @t109 () (tptp.cast_to_subset @t1)) % 34.97/35.15 (define @t110 () (tptp.union @t1)) % 34.97/35.15 (define @t111 () (tptp.reflexive @t1)) % 34.97/35.15 (define @t112 () (tptp.well_ordering @t1)) % 34.97/35.15 (define @t113 () (tptp.set_difference @t1 @t2)) % 34.97/35.15 (define @t114 () (and @t63 (= @t29 @t62))) % 34.97/35.15 (define @t115 () (tptp.relation_rng @t1)) % 34.97/35.15 (define @t116 () (= @t2 @t115)) % 34.97/35.15 (define @t117 () (tptp.subset_complement @t1 @t2)) % 34.97/35.15 (define @t118 () (tptp.element @t2 @t81)) % 34.97/35.15 (define @t119 () (tptp.ordered_pair @t1 @t2)) % 34.97/35.15 (define @t120 () (tptp.is_connected_in @t1 @t2)) % 34.97/35.15 (define @t121 () (tptp.is_transitive_in @t1 @t2)) % 34.97/35.15 (define @t122 () (tptp.being_limit_ordinal @t1)) % 34.97/35.15 (define @t123 () (tptp.cartesian_product2 @t2 @t2)) % 34.97/35.15 (define @t124 () (tptp.relation_restriction @t1 @t2)) % 34.97/35.15 (define @t125 () (forall @t71 (= @t124 (tptp.set_intersection2 @t1 @t123)))) % 34.97/35.15 (define @t126 () (forall @t11 (=> @t16 @t125))) % 34.97/35.15 (define @t127 () (tptp.relation_inverse @t1)) % 34.97/35.15 (define @t128 () (tptp.disjoint @t1 @t2)) % 34.97/35.15 (define @t129 () (tptp.relation_composition @t1 @t2)) % 34.97/35.15 (define @t130 () (tptp.complements_of_subsets @t1 @t2)) % 34.97/35.15 (define @t131 () (tptp.powerset @t81)) % 34.97/35.15 (define @t132 () (tptp.element @t2 @t131)) % 34.97/35.15 (define @t133 () (not @t40)) % 34.97/35.15 (define @t134 () (tptp.function_inverse @t1)) % 34.97/35.15 (define @t135 () (tptp.relation @t124)) % 34.97/35.15 (define @t136 () (forall @t6 (=> @t16 @t135))) % 34.97/35.15 (define @t137 () (tptp.relation @t127)) % 34.97/35.15 (define @t138 () (tptp.relation @t129)) % 34.97/35.15 (define @t139 () (and @t16 @t37)) % 34.97/35.15 (define @t140 () (tptp.union_of_subsets @t1 @t2)) % 34.97/35.15 (define @t141 () (tptp.relation @t35)) % 34.97/35.15 (define @t142 () (tptp.meet_of_subsets @t1 @t2)) % 34.97/35.15 (define @t143 () (tptp.subset_difference @t1 @t2 @t29)) % 34.97/35.15 (define @t144 () (tptp.element @t29 @t81)) % 34.97/35.15 (define @t145 () (and @t118 @t144)) % 34.97/35.15 (define @t146 () (tptp.relation @t47)) % 34.97/35.15 (define @t147 () (tptp.relation @t58)) % 34.97/35.15 (define @t148 () (tptp.relation_composition @t2 @t1)) % 34.97/35.15 (define @t149 () (and @t10 @t37)) % 34.97/35.15 (define @t150 () (tptp.relation_empty_yielding tptp.empty_set)) % 34.97/35.15 (define @t151 () (tptp.relation tptp.empty_set)) % 34.97/35.15 (define @t152 () (tptp.empty tptp.empty_set)) % 34.97/35.15 (define @t153 () (tptp.relation_empty_yielding @t1)) % 34.97/35.15 (define @t154 () (and @t16 @t153)) % 34.97/35.15 (define @t155 () (tptp.function @t2)) % 34.97/35.15 (define @t156 () (not (tptp.empty @t70))) % 34.97/35.15 (define @t157 () (not @t83)) % 34.97/35.15 (define @t158 () (and @t37 @t155)) % 34.97/35.15 (define @t159 () (tptp.empty @t51)) % 34.97/35.15 (define @t160 () (and @t85 @t16)) % 34.97/35.15 (define @t161 () (tptp.empty @t115)) % 34.97/35.15 (define @t162 () (tptp.in @t2 @t60)) % 34.97/35.15 (define @t163 () (tptp.disjoint @t69 @t2)) % 34.97/35.15 (define @t164 () (not @t5)) % 34.97/35.15 (define @t165 () (tptp.relation_dom @t2)) % 34.97/35.15 (define @t166 () (tptp.ordered_pair @t29 @t2)) % 34.97/35.15 (define @t167 () (tptp.in @t166 @t1)) % 34.97/35.15 (define @t168 () (not @t167)) % 34.97/35.15 (define @t169 () (not @t106)) % 34.97/35.15 (define @t170 () (tptp.in @t29 @t60)) % 34.97/35.15 (define @t171 () (forall @t49 (not (and @t162 @t170 @t93 @t169 @t168)))) % 34.97/35.15 (define @t172 () (= @t65 @t171)) % 34.97/35.15 (define @t173 () (=> @t16 @t172)) % 34.97/35.15 (define @t174 () (forall @t11 @t173)) % 34.97/35.15 (define @t175 () (tptp.singleton @t2)) % 34.97/35.15 (define @t176 () (tptp.union @t2)) % 34.97/35.15 (define @t177 () (tptp.in @t1 @t29)) % 34.97/35.15 (define @t178 () (tptp.element @t1 (tptp.powerset @t2))) % 34.97/35.15 (define @t179 () (tptp.relation_dom @t29)) % 34.97/35.15 (define @t180 () (tptp.relation_dom_restriction @t29 @t1)) % 34.97/35.15 (define @t181 () (tptp.in @t2 (tptp.relation_dom @t180))) % 34.97/35.15 (define @t182 () (and @t48 (tptp.function @t29))) % 34.97/35.15 (define @t183 () (tptp.set_difference @t2 @t29)) % 34.97/35.15 (define @t184 () (= @t1 @t29)) % 34.97/35.15 (define @t185 () (tptp.relation_rng @t29)) % 34.97/35.15 (define @t186 () (tptp.relation_rng @t58)) % 34.97/35.15 (define @t187 () (tptp.relation_rng @t2)) % 34.97/35.15 (define @t188 () (tptp.cartesian_product2 @t1 @t29)) % 34.97/35.15 (define @t189 () (forall @t59 (not (and @t97 (not (tptp.are_equipotent @t29 @t2)) @t91)))) % 34.97/35.15 (define @t190 () (tptp.powerset @t29)) % 34.97/35.15 (define @t191 () (forall @t34 (=> (and @t72 (tptp.subset @t28 @t29)) @t44))) % 34.97/35.15 (define @t192 () (tptp.relation_dom_restriction @t29 @t2)) % 34.97/35.15 (define @t193 () (tptp.relation_image @t2 @t1)) % 34.97/35.15 (define @t194 () (tptp.relation_inverse_image @t2 @t1)) % 34.97/35.15 (define @t195 () (tptp.relation_image @t2 @t194)) % 34.97/35.15 (define @t196 () (tptp.set_intersection2 @t165 @t1)) % 34.97/35.15 (define @t197 () (tptp.subset @t1 @t187)) % 34.97/35.15 (define @t198 () (tptp.relation_rng @t129)) % 34.97/35.15 (define @t199 () (tptp.relation_inverse_image @t29 @t2)) % 34.97/35.15 (define @t200 () (tptp.relation_restriction @t29 @t2)) % 34.97/35.15 (define @t201 () (tptp.relation_restriction @t2 @t1)) % 34.97/35.15 (define @t202 () (tptp.relation_dom_restriction @t2 @t1)) % 34.97/35.15 (define @t203 () (tptp.relation_field @t29)) % 34.97/35.15 (define @t204 () (tptp.in @t1 @t203)) % 34.97/35.15 (define @t205 () (and @t204 @t5)) % 34.97/35.15 (define @t206 () (tptp.in @t1 (tptp.relation_field @t200))) % 34.97/35.15 (define @t207 () (=> @t206 @t205)) % 34.97/35.15 (define @t208 () (forall @t86 (=> @t48 @t207))) % 34.97/35.15 (define @t209 () (tptp.set_intersection2 @t2 @t29)) % 34.97/35.15 (define @t210 () (tptp.subset @t1 @t29)) % 34.97/35.15 (define @t211 () (tptp.element @t1 @t2)) % 34.97/35.15 (define @t212 () (tptp.in @t1 @t179)) % 34.97/35.15 (define @t213 () (tptp.in @t119 @t29)) % 34.97/35.15 (define @t214 () (tptp.relation_field @t201)) % 34.97/35.15 (define @t215 () (tptp.apply @t29 @t1)) % 34.97/35.15 (define @t216 () (tptp.relation_composition @t29 @t2)) % 34.97/35.15 (define @t217 () (tptp.in @t1 (tptp.relation_dom @t216))) % 34.97/35.15 (define @t218 () (tptp.connected @t201)) % 34.97/35.15 (define @t219 () (tptp.connected @t2)) % 34.97/35.15 (define @t220 () (=> @t219 @t218)) % 34.97/35.15 (define @t221 () (forall @t6 (=> @t37 @t220))) % 34.97/35.15 (define @t222 () (not @t221)) % 34.97/35.15 (define @t223 () (tptp.apply @t2 @t29)) % 34.97/35.15 (define @t224 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 34.97/35.15 (define @t225 () (and @t31 @t72)) % 34.97/35.15 (define @t226 () (not @t128)) % 34.97/35.15 (define @t227 () (tptp.succ @t2)) % 34.97/35.15 (define @t228 () (= @t1 @t227)) % 34.97/35.15 (define @t229 () (tptp.subset_complement @t1 @t29)) % 34.97/35.15 (define @t230 () (tptp.disjoint @t2 @t29)) % 34.97/35.15 (define @t231 () (tptp.relation_dom @t129)) % 34.97/35.15 (define @t232 () (tptp.element @t2 @t190)) % 34.97/35.15 (define @t233 () (tptp.in @t29 @t24)) % 34.97/35.15 (define @t234 () (and (tptp.in @t29 @t115) (= @t28 @t223))) % 34.97/35.15 (define @t235 () (tptp.function_inverse @t2)) % 34.97/35.15 (define @t236 () (= @t115 tptp.empty_set)) % 34.97/35.15 (define @t237 () (= @t51 tptp.empty_set)) % 34.97/35.15 (define @t238 () (= (tptp.apply @t180 @t2) (tptp.apply @t29 @t2))) % 34.97/35.15 (define @t239 () (= @t69 (tptp.unordered_pair @t2 @t29))) % 34.97/35.15 (define @t240 () (not @t170)) % 34.97/35.15 (define @t241 () (not @t162)) % 34.97/35.15 (define @t242 () (= @t65 (forall @t49 (or @t241 @t240 @t92 @t106 @t167)))) % 34.97/35.15 (define @t243 () (not @t168)) % 34.97/35.15 (define @t244 () (not @t169)) % 34.97/35.15 (define @t245 () (not @t93)) % 34.97/35.15 (define @t246 () (or @t241 @t240 @t245 @t244 @t243)) % 34.97/35.15 (define @t247 () (not @t219)) % 34.97/35.15 (define @t248 () (not @t37)) % 34.97/35.15 (define @t249 () (or @t248 @t247 @t218)) % 34.97/35.15 (define @t250 () (forall @t6 @t249)) % 34.97/35.15 (define @t251 () (@quantifiers_skolemize @t250 1)) % 34.97/35.15 (define @t252 () (tptp.relation @t251)) % 34.97/35.15 (define @t253 () (@quantifiers_skolemize @t250 0)) % 34.97/35.15 (define @t254 () (tptp.relation_restriction @t251 @t253)) % 34.97/35.15 (define @t255 () (tptp.connected @t254)) % 34.97/35.15 (define @t256 () (tptp.connected @t251)) % 34.97/35.15 (define @t257 () (not @t256)) % 34.97/35.15 (define @t258 () (not @t252)) % 34.97/35.15 (define @t259 () (or @t258 @t257 @t255)) % 34.97/35.15 (define @t260 () (@list true)) % 34.97/35.15 (define @t261 () (@list @t259)) % 34.97/35.15 (define @t262 () (tptp.relation_field @t251)) % 34.97/35.15 (define @t263 () (forall @t49 (or (not (tptp.in @t2 @t262)) (not (tptp.in @t29 @t262)) @t92 (tptp.in @t105 @t251) (tptp.in @t166 @t251)))) % 34.97/35.15 (define @t264 () (= @t256 @t263)) % 34.97/35.15 (define @t265 () (or @t258 @t264)) % 34.97/35.15 (define @t266 () (@list false false)) % 34.97/35.15 (define @t267 () (tptp.relation_field @t254)) % 34.97/35.15 (define @t268 () (forall @t49 (or (not (tptp.in @t2 @t267)) (not (tptp.in @t29 @t267)) @t92 (tptp.in @t105 @t254) (tptp.in @t166 @t254)))) % 34.97/35.15 (define @t269 () (@quantifiers_skolemize @t268 1)) % 34.97/35.15 (define @t270 () (@quantifiers_skolemize @t268 0)) % 34.97/35.15 (define @t271 () (not @t206)) % 34.97/35.15 (define @t272 () (not @t48)) % 34.97/35.15 (define @t273 () (@list @t251 @t253)) % 34.97/35.15 (define @t274 () (tptp.relation @t254)) % 34.97/35.15 (define @t275 () (or @t258 @t274)) % 34.97/35.15 (define @t276 () (= @t255 @t268)) % 34.97/35.15 (define @t277 () (not @t274)) % 34.97/35.15 (define @t278 () (or @t277 @t276)) % 34.97/35.15 (define @t279 () (not @t268)) % 34.97/35.15 (define @t280 () (@list true false)) % 34.97/35.15 (define @t281 () (tptp.in @t269 @t267)) % 34.97/35.15 (define @t282 () (tptp.ordered_pair @t269 @t270)) % 34.97/35.15 (define @t283 () (tptp.in @t282 @t254)) % 34.97/35.15 (define @t284 () (tptp.ordered_pair @t270 @t269)) % 34.97/35.15 (define @t285 () (tptp.in @t284 @t254)) % 34.97/35.15 (define @t286 () (= @t270 @t269)) % 34.97/35.15 (define @t287 () (not @t281)) % 34.97/35.15 (define @t288 () (tptp.in @t270 @t267)) % 34.97/35.15 (define @t289 () (not @t288)) % 34.97/35.15 (define @t290 () (or @t289 @t287 @t286 @t285 @t283)) % 34.97/35.15 (define @t291 () (@list @t290)) % 34.97/35.15 (define @t292 () (tptp.in @t269 @t253)) % 34.97/35.15 (define @t293 () (tptp.in @t269 @t262)) % 34.97/35.15 (define @t294 () (and @t293 @t292)) % 34.97/35.15 (define @t295 () (or @t258 @t287 @t294)) % 34.97/35.15 (define @t296 () (@list false false false)) % 34.97/35.15 (define @t297 () (not @t294)) % 34.97/35.15 (define @t298 () (@list false)) % 34.97/35.15 (define @t299 () (@list @t294)) % 34.97/35.15 (define @t300 () (tptp.in @t270 @t253)) % 34.97/35.15 (define @t301 () (tptp.in @t270 @t262)) % 34.97/35.15 (define @t302 () (and @t301 @t300)) % 34.97/35.15 (define @t303 () (or @t258 @t289 @t302)) % 34.97/35.15 (define @t304 () (not @t302)) % 34.97/35.15 (define @t305 () (@list @t302)) % 34.97/35.15 (define @t306 () (and @t300 @t292)) % 34.97/35.15 (define @t307 () (not @t292)) % 34.97/35.15 (define @t308 () (not @t300)) % 34.97/35.15 (define @t309 () (@list @t300 @t292)) % 34.97/35.15 (define @t310 () (tptp.cartesian_product2 @t253 @t253)) % 34.97/35.15 (define @t311 () (tptp.in @t284 @t310)) % 34.97/35.15 (define @t312 () (= @t311 @t306)) % 34.97/35.15 (define @t313 () (= @t24 @t29)) % 34.97/35.15 (define @t314 () (forall @t54 (= (tptp.in @t28 @t254) (and (tptp.in @t28 @t251) (tptp.in @t28 @t310))))) % 34.97/35.15 (define @t315 () (tptp.set_intersection2 @t251 @t310)) % 34.97/35.15 (define @t316 () (= @t254 @t315)) % 34.97/35.15 (define @t317 () (= @t314 (= @t315 @t254))) % 34.97/35.15 (define @t318 () (forall @t86 (= @t99 @t313))) % 34.97/35.15 (define @t319 () (= @t316 @t314)) % 34.97/35.15 (define @t320 () (@var "BOUND_VARIABLE_9898" $$unsorted)) % 34.97/35.15 (define @t321 () (= (tptp.relation_restriction @t1 @t320) (tptp.set_intersection2 @t1 (tptp.cartesian_product2 @t320 @t320)))) % 34.97/35.15 (define @t322 () (not @t16)) % 34.97/35.15 (define @t323 () (or @t322 @t321)) % 34.97/35.15 (define @t324 () (@list @t320)) % 34.97/35.15 (define @t325 () (forall @t324 @t323)) % 34.97/35.15 (define @t326 () (forall @t324 @t321)) % 34.97/35.15 (define @t327 () (or @t322 @t326)) % 34.97/35.15 (define @t328 () (or @t258 @t316)) % 34.97/35.15 (define @t329 () (tptp.in @t284 @t251)) % 34.97/35.15 (define @t330 () (and @t329 @t311)) % 34.97/35.15 (define @t331 () (= @t285 @t330)) % 34.97/35.15 (define @t332 () (not @t330)) % 34.97/35.15 (define @t333 () (tptp.in @t282 @t251)) % 34.97/35.15 (define @t334 () (not @t293)) % 34.97/35.15 (define @t335 () (not @t301)) % 34.97/35.15 (define @t336 () (or @t335 @t334 @t286 @t329 @t333)) % 34.97/35.15 (define @t337 () (tptp.in @t282 @t310)) % 34.97/35.15 (define @t338 () (and @t333 @t337)) % 34.97/35.15 (define @t339 () (= @t283 @t338)) % 34.97/35.15 (define @t340 () (not @t338)) % 34.97/35.15 (define @t341 () (and @t292 @t300)) % 34.97/35.15 (define @t342 () (= @t337 @t341)) % 34.97/35.15 (assume @p1 (forall @t6 (=> @t5 @t4))) % 34.97/35.15 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 34.97/35.15 (assume @p3 (forall @t11 (=> @t10 @t9))) % 34.97/35.15 (assume @p4 (forall @t11 (=> @t15 @t14))) % 34.97/35.15 (assume @p5 (forall @t11 (=> @t10 @t16))) % 34.97/35.15 (assume @p6 (forall @t11 (=> @t19 @t18))) % 34.97/35.15 (assume @p7 (forall @t11 (=> @t14 @t15))) % 34.97/35.15 (assume @p8 (forall @t11 (=> @t10 @t20))) % 34.97/35.15 (assume @p9 (forall @t6 (= @t21 (tptp.unordered_pair @t2 @t1)))) % 34.97/35.15 (assume @p10 (forall @t6 (= @t23 @t22))) % 34.97/35.15 (assume @p11 (forall @t6 (= @t24 (tptp.set_intersection2 @t2 @t1)))) % 34.97/35.15 (assume @p12 (forall @t6 (=> @t27 (or @t25 (tptp.ordinal_subset @t2 @t1))))) % 34.97/35.15 (assume @p13 (forall @t6 (=> @t37 (= @t36 (forall @t34 (= @t33 (and @t31 @t30))))))) % 34.97/35.15 (assume @p14 (forall @t6 (= @t40 (and @t39 @t38)))) % 34.97/35.15 (assume @p15 (forall @t11 (=> @t16 (forall @t49 (=> @t48 (= (= @t29 @t47) (forall @t46 (= @t45 (and @t44 @t43))))))))) % 34.97/35.15 (assume @p16 (forall @t11 (=> @t56 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in @t41 @t51) @t50 (= @t28 (tptp.apply @t1 @t41))))))))))) % 34.97/35.15 (assume @p17 (forall @t6 (=> @t37 (forall @t59 (=> @t48 (= (= @t29 @t58) (forall @t46 (= @t45 (and @t57 (tptp.in @t42 @t2)))))))))) % 34.97/35.15 (assume @p18 (forall @t11 (=> @t16 (= @t61 (tptp.is_antisymmetric_in @t1 @t60))))) % 34.97/35.15 (assume @p19 (forall @t11 (=> @t56 (forall @t49 (= @t64 (forall @t54 (= @t53 (and @t63 (tptp.in @t62 @t2))))))))) % 34.97/35.15 (assume @p20 (forall @t11 (=> @t16 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in (tptp.ordered_pair @t41 @t28) @t1) @t50))))))))) % 34.97/35.15 (assume @p21 (forall @t11 (=> @t16 (forall @t49 (= @t64 (forall @t54 (= @t53 (exists @t52 (and @t43 @t50))))))))) % 34.97/35.15 (assume @p22 (forall @t11 (=> @t16 (= @t65 (tptp.is_connected_in @t1 @t60))))) % 34.97/35.15 (assume @p23 (forall @t11 (=> @t16 (= @t66 (tptp.is_transitive_in @t1 @t60))))) % 34.97/35.15 (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))))))))) % 34.97/35.15 (assume @p25 (forall @t11 (= @t70 (tptp.set_union2 @t1 @t69)))) % 34.97/35.15 (assume @p26 (forall @t11 (= @t16 (forall @t71 (not (and @t3 (forall @t34 (not (= @t2 @t32))))))))) % 34.97/35.15 (assume @p27 (forall @t11 (=> @t16 (forall @t71 (= @t73 (forall @t59 (=> @t72 (tptp.in (tptp.ordered_pair @t29 @t29) @t1)))))))) % 34.97/35.15 (assume @p28 (forall @t6 (and (=> @t79 (= @t75 (forall @t59 (= @t72 (forall @t54 (=> @t78 @t77)))))) (=> @t76 (= @t75 @t74))))) % 34.97/35.15 (assume @p29 (forall @t6 (= (= @t2 @t69) (forall @t59 (= @t72 (= @t29 @t1)))))) % 34.97/35.15 (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))))))))) % 34.97/35.15 (assume @p31 (forall @t11 (= @t76 (forall @t71 @t4)))) % 34.97/35.15 (assume @p32 (forall @t6 (= (= @t2 @t81) (forall @t59 (= @t72 (tptp.subset @t29 @t1)))))) % 34.97/35.15 (assume @p33 (forall @t11 (= @t13 (forall @t71 (=> @t3 @t38))))) % 34.97/35.15 (assume @p34 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t40 (forall @t34 (= @t82 @t33)))))))) % 34.97/35.15 (assume @p35 (forall @t6 (and (=> @t85 (= @t84 @t3)) (=> @t10 (= @t84 @t83))))) % 34.97/35.15 (assume @p36 (forall @t86 (= (= @t29 @t21) (forall @t54 (= @t53 (or (= @t28 @t1) @t80)))))) % 34.97/35.15 (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))))))))))) % 34.97/35.15 (assume @p38 (forall @t86 (= (= @t29 @t23) (forall @t54 (= @t53 (or @t78 @t44)))))) % 34.97/35.15 (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))))))))) % 34.97/35.15 (assume @p40 (forall @t11 (= @t12 (forall @t49 (not (and @t3 @t31 (not @t94) @t93 @t91)))))) % 34.97/35.15 (assume @p41 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t39 (forall @t34 (=> @t82 @t33)))))))) % 34.97/35.15 (assume @p42 (forall @t6 (= @t39 @t95))) % 34.97/35.15 (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)))))))))))) % 34.97/35.15 (assume @p44 @t101) % 34.97/35.15 (assume @p45 (forall @t11 (=> @t56 (forall @t49 (and (=> @t104 (= @t103 @t106)) (=> (not @t104) (= @t103 @t96))))))) % 34.97/35.15 (assume @p46 (forall @t11 (= @t15 @t14))) % 34.97/35.15 (assume @p47 (forall @t11 (=> @t16 (forall @t71 (= (= @t2 @t51) (forall @t59 (= @t72 (exists @t54 @t82)))))))) % 34.97/35.15 (assume @p48 (forall @t11 (=> @t16 (forall @t71 (= @t108 (forall @t34 (=> (and @t72 @t44 @t82 @t107) @t30))))))) % 34.97/35.15 (assume @p49 (forall @t11 (= @t109 @t1))) % 34.97/35.15 (assume @p50 (forall @t6 (= (= @t2 @t110) (forall @t59 (= @t72 (exists @t54 (and @t77 @t78))))))) % 34.97/35.15 (assume @p51 (forall @t11 (=> @t16 (= @t112 (and @t111 @t66 @t61 @t65 @t88))))) % 34.97/35.15 (assume @p52 (forall @t86 (= (= @t29 @t113) (forall @t54 (= @t53 (and @t78 (not @t44))))))) % 34.97/35.15 (assume @p53 (forall @t11 (=> @t56 (forall @t71 (= @t116 (forall @t59 (= @t72 (exists @t54 @t114)))))))) % 34.97/35.15 (assume @p54 (forall @t11 (=> @t16 (forall @t71 (= @t116 (forall @t59 (= @t72 (exists @t54 @t107)))))))) % 34.97/35.15 (assume @p55 (forall @t6 (=> @t118 (= @t117 @t113)))) % 34.97/35.15 (assume @p56 (forall @t6 (= @t119 (tptp.unordered_pair @t21 @t69)))) % 34.97/35.15 (assume @p57 (forall @t11 (=> @t16 (forall @t71 (= (tptp.well_orders @t1 @t2) (and @t73 @t121 @t108 @t120 @t98)))))) % 34.97/35.15 (assume @p58 (forall @t11 (= @t122 (= @t1 @t110)))) % 34.97/35.15 (assume @p59 (forall @t11 (=> @t16 (= @t60 (tptp.set_union2 @t51 @t115))))) % 34.97/35.15 (assume @p60 (forall @t11 (=> @t16 (forall @t71 (= @t120 (forall @t34 (not (and @t72 @t44 (not @t30) (not @t82) (not @t107))))))))) % 34.97/35.15 (assume @p61 @t126) % 34.97/35.15 (assume @p62 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= (= @t2 @t127) (forall @t34 (= @t33 @t107)))))))) % 34.97/35.15 (assume @p63 (forall @t6 (= @t128 (= @t24 tptp.empty_set)))) % 34.97/35.15 (assume @p64 (forall @t11 (=> @t56 (= @t17 (forall @t49 (=> (and @t104 (tptp.in @t29 @t51) (= @t102 (tptp.apply @t1 @t29))) @t92)))))) % 34.97/35.15 (assume @p65 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (forall @t59 (=> @t48 (= (= @t29 @t129) (forall @t46 (= @t45 (exists (@list @t89) (and (tptp.in (tptp.ordered_pair @t28 @t89) @t1) (tptp.in (tptp.ordered_pair @t89 @t41) @t2))))))))))))) % 34.97/35.15 (assume @p66 (forall @t11 (=> @t16 (forall @t71 (= @t121 (forall (@list @t29 @t28 @t41) (=> (and @t72 @t44 @t50 @t82 @t43) (tptp.in (tptp.ordered_pair @t29 @t41) @t1)))))))) % 34.97/35.15 (assume @p67 (forall @t6 (=> @t132 (forall @t59 (=> (tptp.element @t29 @t131) (= (= @t29 @t130) (forall @t54 (=> (tptp.element @t28 @t81) (= @t53 (tptp.in (tptp.subset_complement @t1 @t28) @t2)))))))))) % 34.97/35.15 (assume @p68 (forall @t6 (= @t8 (and @t39 @t133)))) % 34.97/35.15 (assume @p69 (forall @t11 (=> @t56 (=> @t17 (= @t134 @t127))))) % 34.97/35.15 (assume @p70 (forall @t11 (=> @t16 (= @t111 (tptp.is_reflexive_in @t1 @t60))))) % 34.97/35.15 (assume @p71 true) % 34.97/35.15 (assume @p72 (forall @t11 (=> @t56 (and (tptp.relation @t134) (tptp.function @t134))))) % 34.97/35.15 (assume @p73 (forall @t11 (tptp.element @t109 @t81))) % 34.97/35.15 (assume @p74 @t136) % 34.97/35.15 (assume @p75 (forall @t6 (=> @t118 (tptp.element @t117 @t81)))) % 34.97/35.15 (assume @p76 (forall @t11 (=> @t16 @t137))) % 34.97/35.15 (assume @p77 (forall @t6 (=> @t139 @t138))) % 34.97/35.15 (assume @p78 (forall @t6 (=> @t132 (tptp.element @t140 @t81)))) % 34.97/35.15 (assume @p79 (forall @t11 @t141)) % 34.97/35.15 (assume @p80 (forall @t6 (=> @t132 (tptp.element @t142 @t81)))) % 34.97/35.15 (assume @p81 (forall @t86 (=> @t145 (tptp.element @t143 @t81)))) % 34.97/35.15 (assume @p82 (forall @t6 (=> @t16 @t146))) % 34.97/35.15 (assume @p83 (forall @t6 (=> @t132 (tptp.element @t130 @t131)))) % 34.97/35.15 (assume @p84 (forall @t6 (=> @t37 @t147))) % 34.97/35.15 (assume @p85 (forall @t11 (exists @t71 @t84))) % 34.97/35.15 (assume @p86 (forall @t6 (=> @t149 (and (tptp.empty @t148) (tptp.relation @t148))))) % 34.97/35.15 (assume @p87 (forall @t11 (=> @t10 (and (tptp.empty @t127) @t137)))) % 34.97/35.15 (assume @p88 (and @t152 @t151 @t150)) % 34.97/35.15 (assume @p89 (forall @t6 (=> @t154 (and @t146 (tptp.relation_empty_yielding @t47))))) % 34.97/35.15 (assume @p90 (forall @t6 (=> (and @t16 @t9 @t37 @t155) (and @t138 (tptp.function @t129))))) % 34.97/35.15 (assume @p91 (forall @t11 @t156)) % 34.97/35.15 (assume @p92 (forall @t6 (=> @t139 (tptp.relation @t24)))) % 34.97/35.15 (assume @p93 (forall @t11 (not (tptp.empty @t81)))) % 34.97/35.15 (assume @p94 @t152) % 34.97/35.15 (assume @p95 (forall @t6 (not (tptp.empty @t119)))) % 34.97/35.15 (assume @p96 (forall @t11 (and @t141 (tptp.function @t35)))) % 34.97/35.15 (assume @p97 (and @t151 @t150 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t152 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 34.97/35.15 (assume @p98 (forall @t6 (=> @t139 (tptp.relation @t23)))) % 34.97/35.15 (assume @p99 (forall @t11 (not (tptp.empty @t69)))) % 34.97/35.15 (assume @p100 (forall @t6 (=> @t85 (not (tptp.empty @t23))))) % 34.97/35.15 (assume @p101 (forall @t11 (=> @t18 (and @t137 (tptp.function @t127))))) % 34.97/35.15 (assume @p102 (forall @t11 (=> @t15 (and @t156 (tptp.epsilon_transitive @t70) (tptp.epsilon_connected @t70) (tptp.ordinal @t70))))) % 34.97/35.15 (assume @p103 (forall @t6 (=> @t139 (tptp.relation @t113)))) % 34.97/35.15 (assume @p104 (forall @t6 (not (tptp.empty @t21)))) % 34.97/35.15 (assume @p105 (forall @t6 (=> @t85 (not (tptp.empty @t22))))) % 34.97/35.15 (assume @p106 (forall @t6 (=> @t56 (and @t146 (tptp.function @t47))))) % 34.97/35.15 (assume @p107 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t110) (tptp.epsilon_connected @t110) (tptp.ordinal @t110))))) % 34.97/35.15 (assume @p108 (and @t152 @t151)) % 34.97/35.15 (assume @p109 (forall @t6 (=> (and @t85 @t157) (not (tptp.empty @t90))))) % 34.97/35.15 (assume @p110 (forall @t6 (=> @t158 (and @t147 (tptp.function @t58))))) % 34.97/35.15 (assume @p111 (forall @t11 (=> @t160 (not @t159)))) % 34.97/35.15 (assume @p112 (forall @t11 (=> @t160 (not @t161)))) % 34.97/35.15 (assume @p113 (forall @t11 (=> @t10 (and @t159 (tptp.relation @t51))))) % 34.97/35.15 (assume @p114 (forall @t11 (=> @t10 (and @t161 (tptp.relation @t115))))) % 34.97/35.15 (assume @p115 (forall @t6 (=> @t149 (and (tptp.empty @t129) @t138)))) % 34.97/35.15 (assume @p116 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 34.97/35.15 (assume @p117 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 34.97/35.15 (assume @p118 (forall @t6 (=> @t118 (= (tptp.subset_complement @t1 @t117) @t2)))) % 34.97/35.15 (assume @p119 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t127) @t1)))) % 34.97/35.15 (assume @p120 (forall @t6 (=> @t132 (= (tptp.complements_of_subsets @t1 @t130) @t2)))) % 34.97/35.15 (assume @p121 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 34.97/35.15 (assume @p122 (forall @t11 (=> @t16 (= @t111 (forall @t71 (=> @t162 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 34.97/35.15 (assume @p123 (forall @t11 (not (= @t69 tptp.empty_set)))) % 34.97/35.15 (assume @p124 (forall @t6 (=> @t5 (= (tptp.set_union2 @t69 @t2) @t2)))) % 34.97/35.15 (assume @p125 (forall @t6 (not (and @t163 @t5)))) % 34.97/35.15 (assume @p126 (forall @t6 (=> @t164 @t163))) % 34.97/35.15 (assume @p127 (forall @t6 (=> @t37 (tptp.subset (tptp.relation_dom @t58) @t165)))) % 34.97/35.15 (assume @p128 (forall @t11 (=> @t16 (= @t66 (forall (@list @t2 @t29 @t28) (=> (and @t106 @t82) (tptp.in (tptp.ordered_pair @t2 @t28) @t1))))))) % 34.97/35.15 (assume @p129 (forall @t6 (= (tptp.subset @t69 @t2) @t5))) % 34.97/35.15 (assume @p130 (forall @t6 (= (= @t113 tptp.empty_set) @t39))) % 34.97/35.15 (assume @p131 (forall @t6 (=> @t118 (forall @t59 (=> @t72 @t31))))) % 34.97/35.15 (assume @p132 (forall @t11 (=> @t16 (= @t61 (forall @t49 (=> (and @t106 @t167) @t92)))))) % 34.97/35.15 (assume @p133 (forall @t86 (=> @t39 (or @t31 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t29))))))) % 34.97/35.15 (assume @p134 @t174) % 34.97/35.15 (assume @p135 (forall @t6 (= (tptp.subset @t1 @t175) (or @t76 (= @t1 @t175))))) % 34.97/35.15 (assume @p136 (forall @t6 (=> @t5 (tptp.subset @t1 @t176)))) % 34.97/35.15 (assume @p137 (forall @t68 (= (tptp.in @t119 (tptp.cartesian_product2 @t29 @t28)) (and @t177 (tptp.in @t2 @t28))))) % 34.97/35.15 (assume @p138 (forall @t6 (=> @t95 @t178))) % 34.97/35.15 (assume @p139 (forall @t86 (=> @t182 (= @t181 (and (tptp.in @t2 @t179) @t3))))) % 34.97/35.15 (assume @p140 (exists @t11 @t56)) % 34.97/35.15 (assume @p141 (exists @t11 @t20)) % 34.97/35.15 (assume @p142 (exists @t11 (and @t10 @t16))) % 34.97/35.15 (assume @p143 (forall @t11 (=> @t85 (exists @t71 (and @t118 @t157))))) % 34.97/35.15 (assume @p144 (exists @t11 @t10)) % 34.97/35.15 (assume @p145 (exists @t11 @t19)) % 34.97/35.15 (assume @p146 (exists @t11 (and @t16 @t9 @t17 @t10 @t13 @t12 @t15))) % 34.97/35.15 (assume @p147 (exists @t11 @t160)) % 34.97/35.15 (assume @p148 (forall @t11 (exists @t71 (and @t118 @t83)))) % 34.97/35.15 (assume @p149 (exists @t11 @t85)) % 34.97/35.15 (assume @p150 (exists @t11 @t18)) % 34.97/35.15 (assume @p151 (exists @t11 (and @t85 @t13 @t12 @t15))) % 34.97/35.15 (assume @p152 (exists @t11 @t154)) % 34.97/35.15 (assume @p153 (exists @t11 (and @t16 @t153 @t9))) % 34.97/35.15 (assume @p154 (forall @t6 (=> @t132 (= @t140 @t176)))) % 34.97/35.15 (assume @p155 (forall @t6 (=> @t132 (= @t142 (tptp.set_meet @t2))))) % 34.97/35.15 (assume @p156 (forall @t86 (=> @t145 (= @t143 @t183)))) % 34.97/35.15 (assume @p157 (forall @t6 (=> @t27 (= @t25 @t39)))) % 34.97/35.15 (assume @p158 (forall @t6 (=> @t27 (tptp.ordinal_subset @t1 @t1)))) % 34.97/35.15 (assume @p159 (forall @t6 (tptp.subset @t1 @t1))) % 34.97/35.15 (assume @p160 (forall @t6 (=> @t128 (tptp.disjoint @t2 @t1)))) % 34.97/35.15 (assume @p161 (forall @t11 (tptp.in @t1 @t70))) % 34.97/35.15 (assume @p162 (forall @t68 (not (and (= @t21 (tptp.unordered_pair @t29 @t28)) (not @t184) (not (= @t1 @t28)))))) % 34.97/35.15 (assume @p163 (forall @t86 (=> @t48 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t29))) (and @t5 (tptp.in @t1 @t185)))))) % 34.97/35.15 (assume @p164 (forall @t6 (=> @t37 (tptp.subset @t186 @t1)))) % 34.97/35.15 (assume @p165 (forall @t6 (=> @t37 (tptp.subset @t58 @t2)))) % 34.97/35.15 (assume @p166 (forall @t6 (=> @t37 (tptp.subset @t186 @t187)))) % 34.97/35.15 (assume @p167 (forall @t86 (=> @t39 (and (tptp.subset @t188 (tptp.cartesian_product2 @t2 @t29)) (tptp.subset (tptp.cartesian_product2 @t29 @t1) (tptp.cartesian_product2 @t29 @t2)))))) % 34.97/35.15 (assume @p168 (forall @t6 (=> @t37 (= @t186 (tptp.set_intersection2 @t187 @t1))))) % 34.97/35.15 (assume @p169 (forall @t68 (=> (and @t39 (tptp.subset @t29 @t28)) (tptp.subset @t188 (tptp.cartesian_product2 @t2 @t28))))) % 34.97/35.15 (assume @p170 (forall @t6 (=> @t39 (= @t23 @t2)))) % 34.97/35.15 (assume @p171 (forall @t11 (exists @t71 (and @t5 @t191 (forall @t59 (=> @t72 (tptp.in @t190 @t2))) @t189)))) % 34.97/35.15 (assume @p172 (forall @t86 (=> @t48 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t29) @t2) (tptp.relation_rng_restriction @t1 @t192))))) % 34.97/35.15 (assume @p173 (forall @t86 (=> @t48 (= (tptp.in @t1 (tptp.relation_image @t29 @t2)) (exists @t54 (and (tptp.in @t28 @t179) (tptp.in (tptp.ordered_pair @t28 @t1) @t29) @t44)))))) % 34.97/35.15 (assume @p174 (forall @t6 (=> @t37 (tptp.subset @t193 @t187)))) % 34.97/35.15 (assume @p175 (forall @t6 (=> @t158 (tptp.subset @t195 @t1)))) % 34.97/35.15 (assume @p176 (forall @t6 (=> @t37 (= @t193 (tptp.relation_image @t2 @t196))))) % 34.97/35.15 (assume @p177 (forall @t6 (=> @t37 (=> (tptp.subset @t1 @t165) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t193)))))) % 34.97/35.15 (assume @p178 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t51) @t115)))) % 34.97/35.15 (assume @p179 (forall @t6 (=> @t158 (=> @t197 (= @t195 @t1))))) % 34.97/35.15 (assume @p180 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t198 (tptp.relation_image @t2 @t115))))))) % 34.97/35.15 (assume @p181 (forall @t86 (=> @t48 (= (tptp.in @t1 @t199) (exists @t54 (and (tptp.in @t28 @t185) (tptp.in (tptp.ordered_pair @t1 @t28) @t29) @t44)))))) % 34.97/35.15 (assume @p182 (forall @t6 (=> @t37 (tptp.subset @t194 @t165)))) % 34.97/35.15 (assume @p183 (forall @t86 (=> @t48 (= (tptp.in @t1 @t200) (and @t177 (tptp.in @t1 @t123)))))) % 34.97/35.15 (assume @p184 (forall @t6 (=> @t37 (not (and @t79 @t197 (= @t194 tptp.empty_set)))))) % 34.97/35.15 (assume @p185 (forall @t86 (=> @t48 (=> @t39 (tptp.subset (tptp.relation_inverse_image @t29 @t1) @t199))))) % 34.97/35.15 (assume @p186 (forall @t6 (=> @t37 (= @t201 (tptp.relation_dom_restriction @t58 @t1))))) % 34.97/35.15 (assume @p187 (forall @t6 (tptp.subset @t24 @t1))) % 34.97/35.15 (assume @p188 (forall @t6 (=> @t37 (= @t201 (tptp.relation_rng_restriction @t1 @t202))))) % 34.97/35.15 (assume @p189 @t208) % 34.97/35.15 (assume @p190 (forall @t86 (=> (and @t39 @t210) (tptp.subset @t1 @t209)))) % 34.97/35.15 (assume @p191 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 34.97/35.15 (assume @p192 (forall @t6 (=> @t5 @t211))) % 34.97/35.15 (assume @p193 (forall @t86 (=> (and @t39 (tptp.subset @t2 @t29)) @t210))) % 34.97/35.15 (assume @p194 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 34.97/35.15 (assume @p195 (forall @t86 (=> @t48 (=> @t213 (and @t212 (tptp.in @t2 @t185)))))) % 34.97/35.15 (assume @p196 (forall @t6 (=> @t37 (and (tptp.subset @t214 (tptp.relation_field @t2)) (tptp.subset @t214 @t1))))) % 34.97/35.15 (assume @p197 (forall @t6 (=> @t158 (forall @t59 (=> @t182 (= @t217 (and @t212 (tptp.in @t215 @t165)))))))) % 34.97/35.15 (assume @p198 (forall @t11 (=> @t13 (forall @t71 (=> @t26 (=> @t8 @t5)))))) % 34.97/35.15 (assume @p199 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t51 @t115))))) % 34.97/35.15 (assume @p200 (forall @t86 (=> @t48 (tptp.subset (tptp.fiber (tptp.relation_restriction @t29 @t1) @t2) (tptp.fiber @t29 @t2))))) % 34.97/35.15 (assume @p201 (forall @t6 (=> @t158 (forall @t59 (=> @t182 (=> @t217 (= (tptp.apply @t216 @t1) (tptp.apply @t2 @t215)))))))) % 34.97/35.15 (assume @p202 (forall @t6 (=> @t37 (=> (tptp.reflexive @t2) (tptp.reflexive @t201))))) % 34.97/35.15 (assume @p203 (forall @t6 (=> @t158 (forall @t59 (=> @t182 (=> (tptp.in @t1 @t165) (= (tptp.apply (tptp.relation_composition @t2 @t29) @t1) (tptp.apply @t29 (tptp.apply @t2 @t1))))))))) % 34.97/35.15 (assume @p204 (forall @t6 (=> @t26 (=> @t5 @t15)))) % 34.97/35.15 (assume @p205 @t222) % 34.97/35.15 (assume @p206 (forall @t11 (=> @t15 (forall @t71 (=> @t26 (not (and @t164 @t133 @t4))))))) % 34.97/35.15 (assume @p207 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> @t39 (and (tptp.subset @t51 @t165) (tptp.subset @t115 @t187)))))))) % 34.97/35.15 (assume @p208 (forall @t86 (=> @t39 (tptp.subset (tptp.set_intersection2 @t1 @t29) @t209)))) % 34.97/35.15 (assume @p209 (forall @t6 (=> @t39 (= @t24 @t1)))) % 34.97/35.15 (assume @p210 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 34.97/35.15 (assume @p211 (forall @t6 (=> @t211 (or @t83 @t5)))) % 34.97/35.15 (assume @p212 (forall @t6 (=> (forall @t59 (= @t31 @t72)) @t40))) % 34.97/35.15 (assume @p213 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 34.97/35.15 (assume @p214 (forall @t86 (=> @t48 (=> @t213 (and @t204 (tptp.in @t2 @t203)))))) % 34.97/35.15 (assume @p215 (forall @t11 (=> (forall @t71 (=> @t3 (and @t26 @t38))) @t15))) % 34.97/35.15 (assume @p216 (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))))))))))))) % 34.97/35.15 (assume @p217 (forall @t11 (=> @t15 (forall @t71 (=> @t26 (= @t5 (tptp.ordinal_subset @t70 @t2))))))) % 34.97/35.15 (assume @p218 (forall @t86 (=> @t39 (tptp.subset (tptp.set_difference @t1 @t29) @t183)))) % 34.97/35.15 (assume @p219 (forall @t68 (=> (= @t119 @t32) (and @t184 (= @t2 @t28))))) % 34.97/35.15 (assume @p220 (forall @t6 (=> @t158 (= @t36 (and (= @t165 @t1) (forall @t59 (=> @t31 (= @t223 @t29)))))))) % 34.97/35.15 (assume @p221 (forall @t6 (=> @t3 (= (tptp.apply @t35 @t2) @t2)))) % 34.97/35.15 (assume @p222 (forall @t6 (tptp.subset @t113 @t1))) % 34.97/35.15 (assume @p223 (forall @t11 (=> @t16 (and (= @t115 (tptp.relation_dom @t127)) (= @t51 (tptp.relation_rng @t127)))))) % 34.97/35.15 (assume @p224 (forall @t86 (= (tptp.subset @t21 @t29) (and @t177 @t94)))) % 34.97/35.15 (assume @p225 (forall @t6 (= @t224 @t23))) % 34.97/35.15 (assume @p226 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 34.97/35.15 (assume @p227 (forall @t86 (not (and @t5 @t94 @t31)))) % 34.97/35.15 (assume @p228 (forall @t6 (= @t178 @t39))) % 34.97/35.15 (assume @p229 (forall @t6 (and (not (and @t226 (forall @t59 (not @t225)))) (not (and (exists @t59 @t225) @t128))))) % 34.97/35.15 (assume @p230 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t76))) % 34.97/35.15 (assume @p231 (forall @t6 (= (tptp.set_difference @t23 @t2) @t113))) % 34.97/35.15 (assume @p232 (forall @t11 (=> @t15 (= @t122 (forall @t71 (=> @t26 (=> @t3 (tptp.in @t227 @t1)))))))) % 34.97/35.15 (assume @p233 (forall @t11 (=> @t15 (and (not (and (not @t122) (forall @t71 (=> @t26 (not @t228))))) (not (and (exists @t71 (and @t26 @t228)) @t122)))))) % 34.97/35.15 (assume @p234 (forall @t6 (=> @t118 (forall @t59 (=> @t144 (= @t230 (tptp.subset @t2 @t229))))))) % 34.97/35.15 (assume @p235 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (tptp.subset @t231 @t51)))))) % 34.97/35.15 (assume @p236 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (tptp.subset @t198 @t187)))))) % 34.97/35.15 (assume @p237 (forall @t6 (=> @t39 (= @t2 @t224)))) % 34.97/35.15 (assume @p238 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> (tptp.subset @t115 @t165) (= @t231 @t51))))))) % 34.97/35.15 (assume @p239 (forall @t6 (=> @t132 (not (and @t87 (= @t130 tptp.empty_set)))))) % 34.97/35.15 (assume @p240 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> (tptp.subset @t51 @t187) (= (tptp.relation_rng @t148) @t115))))))) % 34.97/35.15 (assume @p241 (forall @t6 (=> @t132 (=> @t87 (= (tptp.subset_difference @t1 @t109 @t140) (tptp.meet_of_subsets @t1 @t130)))))) % 34.97/35.15 (assume @p242 (forall @t6 (=> @t132 (=> @t87 (= (tptp.union_of_subsets @t1 @t130) (tptp.subset_difference @t1 @t109 @t142)))))) % 34.97/35.15 (assume @p243 (forall @t6 (= (tptp.set_difference @t1 @t113) @t24))) % 34.97/35.15 (assume @p244 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 34.97/35.15 (assume @p245 (forall @t86 (=> (and @t5 @t232) (tptp.element @t1 @t29)))) % 34.97/35.15 (assume @p246 (forall @t6 (and (not (and @t226 (forall @t59 (not @t233)))) (not (and (exists @t59 @t233) @t128))))) % 34.97/35.15 (assume @p247 (forall @t11 (=> @t79 (forall @t71 (=> @t118 (forall @t59 (=> (tptp.element @t29 @t1) (=> @t91 (tptp.in @t29 @t117))))))))) % 34.97/35.15 (assume @p248 (forall @t11 (=> @t56 (=> @t17 (forall @t71 (=> @t158 (= (= @t2 @t134) (and (= @t165 @t115) (forall @t34 (and (=> @t234 @t114) (=> @t114 @t234))))))))))) % 34.97/35.15 (assume @p249 (forall @t86 (=> @t144 (not (and (tptp.in @t2 @t229) @t94))))) % 34.97/35.15 (assume @p250 (forall @t11 (=> @t56 (=> @t17 (and (= @t115 (tptp.relation_dom @t134)) (= @t51 (tptp.relation_rng @t134))))))) % 34.97/35.15 (assume @p251 (forall @t11 (=> @t16 (=> (forall @t49 @t169) @t76)))) % 34.97/35.15 (assume @p252 (forall @t6 (=> @t158 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t187)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t235 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t235 @t2) @t1))))))) % 34.97/35.15 (assume @p253 (forall @t86 (not (and @t5 @t232 (tptp.empty @t29))))) % 34.97/35.15 (assume @p254 (forall @t11 (=> @t16 (= @t88 (tptp.is_well_founded_in @t1 @t60))))) % 34.97/35.15 (assume @p255 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 34.97/35.15 (assume @p256 (forall @t6 (not (and @t39 @t7)))) % 34.97/35.15 (assume @p257 (forall @t11 (=> @t56 (=> @t17 (tptp.one_to_one @t134))))) % 34.97/35.15 (assume @p258 (forall @t86 (=> (and @t39 @t230) (tptp.disjoint @t1 @t29)))) % 34.97/35.15 (assume @p259 (forall @t11 (=> @t16 (=> (or @t237 @t236) @t76)))) % 34.97/35.15 (assume @p260 (forall @t11 (=> @t16 (= @t237 @t236)))) % 34.97/35.15 (assume @p261 (forall @t6 (= (= (tptp.set_difference @t1 @t175) @t1) @t4))) % 34.97/35.15 (assume @p262 (forall @t6 (=> @t158 (forall @t59 (=> @t182 (= (= @t2 @t180) (and (= @t165 (tptp.set_intersection2 @t179 @t1)) (forall @t54 (=> (tptp.in @t28 @t165) (= (tptp.apply @t2 @t28) (tptp.apply @t29 @t28))))))))))) % 34.97/35.15 (assume @p263 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t69))) % 34.97/35.15 (assume @p264 (forall @t11 (=> @t10 @t76))) % 34.97/35.15 (assume @p265 (forall @t6 (=> (tptp.subset @t69 @t175) @t40))) % 34.97/35.15 (assume @p266 (forall @t86 (=> @t182 (=> @t181 @t238)))) % 34.97/35.15 (assume @p267 (forall @t11 (and (= (tptp.relation_dom @t35) @t1) (= (tptp.relation_rng @t35) @t1)))) % 34.97/35.15 (assume @p268 (forall @t86 (=> @t182 (=> @t3 @t238)))) % 34.97/35.15 (assume @p269 (forall @t68 (=> (tptp.relation @t28) (= (tptp.in @t119 (tptp.relation_composition (tptp.identity_relation @t29) @t28)) (and @t177 (tptp.in @t119 @t28)))))) % 34.97/35.15 (assume @p270 (forall @t6 (not (and @t5 @t83)))) % 34.97/35.15 (assume @p271 (forall @t6 (not (and @t5 (forall @t59 (not (and @t72 (forall @t54 (not (and @t44 @t53)))))))))) % 34.97/35.15 (assume @p272 (forall @t6 (tptp.subset @t1 @t23))) % 34.97/35.15 (assume @p273 (forall @t6 (= @t128 (= @t113 @t1)))) % 34.97/35.15 (assume @p274 (forall @t86 (=> @t48 (= (tptp.in @t1 (tptp.relation_dom @t192)) (and @t5 @t212))))) % 34.97/35.15 (assume @p275 (forall @t6 (=> @t37 (tptp.subset @t202 @t2)))) % 34.97/35.15 (assume @p276 (forall @t6 (not (and @t10 @t133 @t83)))) % 34.97/35.15 (assume @p277 (forall @t86 (=> @t182 (= @t213 (and @t212 (= @t2 @t215)))))) % 34.97/35.15 (assume @p278 (forall @t11 (=> @t16 (= (tptp.well_orders @t1 @t60) @t112)))) % 34.97/35.15 (assume @p279 (forall @t86 (=> (and @t39 @t97) (tptp.subset (tptp.set_union2 @t1 @t29) @t2)))) % 34.97/35.15 (assume @p280 (forall @t86 (=> @t239 @t40))) % 34.97/35.15 (assume @p281 (forall @t6 (=> @t37 (= (tptp.relation_dom @t202) @t196)))) % 34.97/35.15 (assume @p282 (forall @t6 (=> @t37 (= @t202 (tptp.relation_composition @t35 @t2))))) % 34.97/35.15 (assume @p283 (forall @t6 (=> @t37 (tptp.subset (tptp.relation_rng @t202) @t187)))) % 34.97/35.15 (assume @p284 (forall @t11 (= (tptp.union @t81) @t1))) % 34.97/35.15 (assume @p285 (forall @t11 (exists @t71 (and @t5 @t191 (forall @t59 (not (and @t72 (forall @t54 (not (and @t44 (forall @t52 (=> (tptp.subset @t41 @t29) @t67)))))))) @t189)))) % 34.97/35.15 (assume @p286 (forall @t86 (=> @t239 @t92))) % 34.97/35.15 (step @p287 :rule bool-impl-elim :args (@t16 @t242)) % 34.97/35.15 (step @p288 :rule cong :premises (@p287) :args ((forall @t11 (=> @t16 @t242)))) % 34.97/35.15 (step @p289 :rule bool-double-not-elim :args (@t167)) % 34.97/35.15 (step @p290 :rule bool-double-not-elim :args (@t106)) % 34.97/35.15 (step @p291 :rule bool-double-not-elim :args (@t92)) % 34.97/35.15 (step @p292 :rule refl :args (@t240)) % 34.97/35.15 (step @p293 :rule refl :args (@t241)) % 34.97/35.15 (step @p294 :rule nary_cong :premises (@p293 @p292 @p291 @p290 @p289) :args (@t246)) % 34.97/35.15 (step @p295 :rule aci_norm :args ((= (or @t241 (or @t240 (or @t245 (or @t244 @t243)))) @t246))) % 34.97/35.15 (step @p296 :rule trans :premises (@p295 @p294)) % 34.97/35.15 (step @p297 :rule bool-and-de-morgan :args (@t169 @t168 true)) % 34.97/35.15 (step @p298 :rule refl :args (@t245)) % 34.97/35.15 (step @p299 :rule nary_cong :premises (@p298 @p297) :args ((or @t245 (not (and @t169 @t168))))) % 34.97/35.15 (step @p300 :rule bool-and-de-morgan :args (@t93 @t169 (and @t168))) % 34.97/35.15 (step @p301 :rule trans :premises (@p300 @p299)) % 34.97/35.15 (step @p302 :rule nary_cong :premises (@p292 @p301) :args ((or @t240 (not (and @t93 @t169 @t168))))) % 34.97/35.15 (step @p303 :rule bool-and-de-morgan :args (@t170 @t93 (and @t169 @t168))) % 34.97/35.15 (step @p304 :rule trans :premises (@p303 @p302)) % 34.97/35.15 (step @p305 :rule nary_cong :premises (@p293 @p304) :args ((or @t241 (not (and @t170 @t93 @t169 @t168))))) % 34.97/35.15 (step @p306 :rule bool-and-de-morgan :args (@t162 @t170 (and @t93 @t169 @t168))) % 34.97/35.15 (step @p307 :rule trans :premises (@p306 @p305)) % 34.97/35.15 (step @p308 :rule trans :premises (@p307 @p296)) % 34.97/35.15 (step @p309 :rule cong :premises (@p308) :args (@t171)) % 34.97/35.15 (step @p310 :rule refl :args (@t65)) % 34.97/35.15 (step @p311 :rule cong :premises (@p310 @p309) :args (@t172)) % 34.97/35.15 (step @p312 :rule refl :args (@t16)) % 34.97/35.15 (step @p313 :rule cong :premises (@p312 @p311) :args (@t173)) % 34.97/35.15 (step @p314 :rule cong :premises (@p313) :args (@t174)) % 34.97/35.15 (step @p315 :rule trans :premises (@p314 @p288)) % 34.97/35.15 (step @p316 :rule eq_resolve :premises (@p134 @p315)) % 34.97/35.15 (step @p317 :rule instantiate :premises (@p316) :args ((@list @t251))) % 34.97/35.15 (step @p318 :rule aci_norm :args ((= (or @t248 (or @t247 @t218)) @t249))) % 34.97/35.15 (step @p319 :rule bool-impl-elim :args (@t219 @t218)) % 34.97/35.15 (step @p320 :rule refl :args (@t248)) % 34.97/35.15 (step @p321 :rule nary_cong :premises (@p320 @p319) :args ((or @t248 @t220))) % 34.97/35.15 (step @p322 :rule trans :premises (@p321 @p318)) % 34.97/35.15 (step @p323 :rule bool-impl-elim :args (@t37 @t220)) % 34.97/35.15 (step @p324 :rule trans :premises (@p323 @p322)) % 34.97/35.15 (step @p325 :rule cong :premises (@p324) :args (@t221)) % 34.97/35.15 (step @p326 :rule cong :premises (@p325) :args (@t222)) % 34.97/35.15 (step @p327 :rule eq_resolve :premises (@p205 @p326)) % 34.97/35.15 (step @p328 :rule skolemize :premises (@p327)) % 34.97/35.15 (step @p329 :rule bool-double-not-elim :args (@t252)) % 34.97/35.15 (step @p330 :rule refl :args (@t259)) % 34.97/35.15 (step @p331 :rule nary_cong :premises (@p330 @p329) :args ((or @t259 (not @t258)))) % 34.97/35.15 (step @p332 :rule cnf_or_neg :args (@t259 0)) % 34.97/35.15 (step @p333 :rule eq_resolve :premises (@p332 @p331)) % 34.97/35.15 (step @p334 :rule reordering :premises (@p333) :args ((or @t252 @t259))) % 34.97/35.15 (step @p335 :rule chain_m_resolution :premises (@p334 @p328) :args (@t252 @t260 @t261)) % 34.97/35.15 (step @p336 :rule cnf_or_pos :args (@t265)) % 34.97/35.15 (step @p337 :rule reordering :premises (@p336) :args ((or @t258 @t264 (not @t265)))) % 34.97/35.15 (step @p338 :rule chain_m_resolution :premises (@p337 @p335 @p317) :args (@t264 @t266 (@list @t252 @t265))) % 34.97/35.15 (step @p339 :rule bool-double-not-elim :args (@t256)) % 34.97/35.15 (step @p340 :rule nary_cong :premises (@p330 @p339) :args ((or @t259 (not @t257)))) % 34.97/35.15 (step @p341 :rule cnf_or_neg :args (@t259 1)) % 34.97/35.15 (step @p342 :rule eq_resolve :premises (@p341 @p340)) % 34.97/35.15 (step @p343 :rule reordering :premises (@p342) :args ((or @t256 @t259))) % 34.97/35.15 (step @p344 :rule chain_m_resolution :premises (@p343 @p328) :args (@t256 @t260 @t261)) % 34.97/35.15 (step @p345 :rule cnf_equiv_pos1 :args (@t264)) % 34.97/35.15 (step @p346 :rule reordering :premises (@p345) :args ((or @t257 @t263 (not @t264)))) % 34.97/35.15 (step @p347 :rule chain_m_resolution :premises (@p346 @p344 @p338) :args (@t263 @t266 (@list @t256 @t264))) % 34.97/35.15 (step @p348 :rule instantiate :premises (@p347) :args ((@list @t270 @t269))) % 34.97/35.15 (step @p349 :rule aci_norm :args ((= (or @t272 (or @t271 @t205)) (or @t272 @t271 @t205)))) % 34.97/35.15 (step @p350 :rule bool-impl-elim :args (@t206 @t205)) % 34.97/35.15 (step @p351 :rule refl :args (@t272)) % 34.97/35.15 (step @p352 :rule nary_cong :premises (@p351 @p350) :args ((or @t272 @t207))) % 34.97/35.15 (step @p353 :rule trans :premises (@p352 @p349)) % 34.97/35.15 (step @p354 :rule bool-impl-elim :args (@t48 @t207)) % 34.97/35.15 (step @p355 :rule trans :premises (@p354 @p353)) % 34.97/35.15 (step @p356 :rule cong :premises (@p355) :args (@t208)) % 34.97/35.15 (step @p357 :rule eq_resolve :premises (@p189 @p356)) % 34.97/35.15 (step @p358 :rule instantiate :premises (@p357) :args ((@list @t269 @t253 @t251))) % 34.97/35.15 (step @p359 :rule instantiate :premises (@p316) :args ((@list @t254))) % 34.97/35.15 (step @p360 :rule bool-impl-elim :args (@t16 @t135)) % 34.97/35.15 (step @p361 :rule cong :premises (@p360) :args (@t136)) % 34.97/35.15 (step @p362 :rule eq_resolve :premises (@p74 @p361)) % 34.97/35.15 (step @p363 :rule instantiate :premises (@p362) :args (@t273)) % 34.97/35.15 (step @p364 :rule cnf_or_pos :args (@t275)) % 34.97/35.15 (step @p365 :rule reordering :premises (@p364) :args ((or @t258 @t274 (not @t275)))) % 34.97/35.15 (step @p366 :rule chain_m_resolution :premises (@p365 @p335 @p363) :args (@t274 @t266 (@list @t252 @t275))) % 34.97/35.15 (step @p367 :rule cnf_or_pos :args (@t278)) % 34.97/35.15 (step @p368 :rule reordering :premises (@p367) :args ((or @t277 @t276 (not @t278)))) % 34.97/35.15 (step @p369 :rule chain_m_resolution :premises (@p368 @p366 @p359) :args (@t276 @t266 (@list @t274 @t278))) % 34.97/35.15 (step @p370 :rule cnf_or_neg :args (@t259 2)) % 34.97/35.15 (step @p371 :rule chain_m_resolution :premises (@p370 @p328) :args ((not @t255) @t260 @t261)) % 34.97/35.15 (step @p372 :rule cnf_equiv_pos2 :args (@t276)) % 34.97/35.15 (step @p373 :rule reordering :premises (@p372) :args ((or @t255 @t279 (not @t276)))) % 34.97/35.15 (step @p374 :rule chain_m_resolution :premises (@p373 @p371 @p369) :args (@t279 @t280 (@list @t255 @t276))) % 34.97/35.15 (step @p375 :rule skolemize :premises (@p374)) % 34.97/35.15 (step @p376 :rule bool-double-not-elim :args (@t281)) % 34.97/35.15 (step @p377 :rule refl :args (@t290)) % 34.97/35.15 (step @p378 :rule nary_cong :premises (@p377 @p376) :args ((or @t290 (not @t287)))) % 34.97/35.15 (step @p379 :rule cnf_or_neg :args (@t290 1)) % 34.97/35.15 (step @p380 :rule eq_resolve :premises (@p379 @p378)) % 34.97/35.15 (step @p381 :rule reordering :premises (@p380) :args ((or @t281 @t290))) % 34.97/35.15 (step @p382 :rule chain_m_resolution :premises (@p381 @p375) :args (@t281 @t260 @t291)) % 34.97/35.15 (step @p383 :rule cnf_or_pos :args (@t295)) % 34.97/35.15 (step @p384 :rule reordering :premises (@p383) :args ((or @t258 @t287 @t294 (not @t295)))) % 34.97/35.15 (step @p385 :rule chain_m_resolution :premises (@p384 @p335 @p382 @p358) :args (@t294 @t296 (@list @t252 @t281 @t295))) % 34.97/35.15 (step @p386 :rule cnf_and_pos :args (@t294 0)) % 34.97/35.15 (step @p387 :rule reordering :premises (@p386) :args ((or @t293 @t297))) % 34.97/35.15 (step @p388 :rule chain_m_resolution :premises (@p387 @p385) :args (@t293 @t298 @t299)) % 34.97/35.15 (step @p389 :rule instantiate :premises (@p357) :args ((@list @t270 @t253 @t251))) % 34.97/35.15 (step @p390 :rule bool-double-not-elim :args (@t288)) % 34.97/35.15 (step @p391 :rule nary_cong :premises (@p377 @p390) :args ((or @t290 (not @t289)))) % 34.97/35.15 (step @p392 :rule cnf_or_neg :args (@t290 0)) % 34.97/35.15 (step @p393 :rule eq_resolve :premises (@p392 @p391)) % 34.97/35.15 (step @p394 :rule reordering :premises (@p393) :args ((or @t288 @t290))) % 34.97/35.15 (step @p395 :rule chain_m_resolution :premises (@p394 @p375) :args (@t288 @t260 @t291)) % 34.97/35.15 (step @p396 :rule cnf_or_pos :args (@t303)) % 34.97/35.15 (step @p397 :rule reordering :premises (@p396) :args ((or @t258 @t289 @t302 (not @t303)))) % 34.97/35.15 (step @p398 :rule chain_m_resolution :premises (@p397 @p335 @p395 @p389) :args (@t302 @t296 (@list @t252 @t288 @t303))) % 34.97/35.15 (step @p399 :rule cnf_and_pos :args (@t302 0)) % 34.97/35.15 (step @p400 :rule reordering :premises (@p399) :args ((or @t301 @t304))) % 34.97/35.15 (step @p401 :rule chain_m_resolution :premises (@p400 @p398) :args (@t301 @t298 @t305)) % 34.97/35.15 (step @p402 :rule instantiate :premises (@p137) :args ((@list @t270 @t269 @t253 @t253))) % 34.97/35.15 (step @p403 :rule cnf_and_pos :args (@t294 1)) % 34.97/35.15 (step @p404 :rule reordering :premises (@p403) :args ((or @t292 @t297))) % 34.97/35.15 (step @p405 :rule chain_m_resolution :premises (@p404 @p385) :args (@t292 @t298 @t299)) % 34.97/35.15 (step @p406 :rule cnf_and_pos :args (@t302 1)) % 34.97/35.15 (step @p407 :rule reordering :premises (@p406) :args ((or @t300 @t304))) % 34.97/35.15 (step @p408 :rule chain_m_resolution :premises (@p407 @p398) :args (@t300 @t298 @t305)) % 34.97/35.15 (step @p409 :rule cnf_and_neg :args (@t306)) % 34.97/35.15 (step @p410 :rule reordering :premises (@p409) :args ((or @t308 @t307 @t306))) % 34.97/35.15 (step @p411 :rule chain_m_resolution :premises (@p410 @p408 @p405) :args (@t306 @t266 @t309)) % 34.97/35.15 (step @p412 :rule cnf_equiv_pos2 :args (@t312)) % 34.97/35.15 (step @p413 :rule reordering :premises (@p412) :args ((or @t311 (not @t306) (not @t312)))) % 34.97/35.15 (step @p414 :rule chain_m_resolution :premises (@p413 @p411 @p402) :args (@t311 @t266 (@list @t306 @t312))) % 34.97/35.15 (step @p415 :rule eq-symm :args (@t313 @t99)) % 34.97/35.15 (step @p416 :rule refl :args (@t99)) % 34.97/35.15 (step @p417 :rule eq-symm :args (@t29 @t24)) % 34.97/35.15 (step @p418 :rule cong :premises (@p417 @p416) :args (@t100)) % 34.97/35.15 (step @p419 :rule trans :premises (@p418 @p415)) % 34.97/35.15 (step @p420 :rule cong :premises (@p419) :args (@t101)) % 34.97/35.15 (step @p421 :rule eq_resolve :premises (@p44 @p420)) % 34.97/35.15 (step @p422 :rule eq-symm :args (@t314 @t316)) % 34.97/35.15 (step @p423 :rule eq-symm :args (@t315 @t254)) % 34.97/35.15 (step @p424 :rule refl :args (@t314)) % 34.97/35.15 (step @p425 :rule cong :premises (@p424 @p423) :args (@t317)) % 34.97/35.15 (step @p426 :rule trans :premises (@p425 @p422)) % 34.97/35.15 (step @p427 :rule refl :args (@t318)) % 34.97/35.15 (step @p428 :rule cong :premises (@p427 @p426) :args ((=> @t318 @t317))) % 34.97/35.15 (assume-push @p484 @t318) % 34.97/35.15 (step @p430 :rule instantiate :premises (@p421) :args ((@list @t251 @t310 @t254))) % 34.97/35.15 (step-pop @p485 :rule scope :premises (@p430)) % 34.97/35.15 (step @p431 :rule process_scope :premises (@p485) :args (@t317)) % 34.97/35.15 (step @p433 :rule eq_resolve :premises (@p431 @p428)) % 34.97/35.15 (step @p434 :rule implies_elim :premises (@p433)) % 34.97/35.15 (step @p435 :rule chain_m_resolution :premises (@p434 @p421) :args (@t319 @t298 (@list @t318))) % 34.97/35.15 (step @p436 :rule quant-merge-prenex :args ((= (forall @t11 @t325) (forall (@list @t1 @t320) @t323)))) % 34.97/35.15 (step @p437 :rule alpha_equiv :args (@t326 (@list @t320) (@list @t2))) % 34.97/35.15 (step @p438 :rule refl :args (@t322)) % 34.97/35.15 (step @p439 :rule nary_cong :premises (@p438 @p437) :args (@t327)) % 34.97/35.15 (step @p440 :rule quant-miniscope-or :args ((= @t325 @t327))) % 34.97/35.15 (step @p441 :rule trans :premises (@p440 @p439)) % 34.97/35.15 (step @p442 :rule symm :premises (@p441)) % 34.97/35.15 (step @p443 :rule cong :premises (@p442) :args ((forall @t11 (or @t322 @t125)))) % 34.97/35.15 (step @p444 :rule trans :premises (@p443 @p436)) % 34.97/35.15 (step @p445 :rule bool-impl-elim :args (@t16 @t125)) % 34.97/35.15 (step @p446 :rule cong :premises (@p445) :args (@t126)) % 34.97/35.15 (step @p447 :rule trans :premises (@p446 @p444)) % 34.97/35.15 (step @p448 :rule eq_resolve :premises (@p61 @p447)) % 34.97/35.15 (step @p449 :rule instantiate :premises (@p448) :args (@t273)) % 34.97/35.15 (step @p450 :rule cnf_or_pos :args (@t328)) % 34.97/35.15 (step @p451 :rule reordering :premises (@p450) :args ((or @t258 @t316 (not @t328)))) % 34.97/35.15 (step @p452 :rule chain_m_resolution :premises (@p451 @p335 @p449) :args (@t316 @t266 (@list @t252 @t328))) % 34.97/35.15 (step @p453 :rule cnf_equiv_pos1 :args (@t319)) % 34.97/35.15 (step @p454 :rule reordering :premises (@p453) :args ((or (not @t316) @t314 (not @t319)))) % 34.97/35.15 (step @p455 :rule chain_m_resolution :premises (@p454 @p452 @p435) :args (@t314 @t266 (@list @t316 @t319))) % 34.97/35.15 (step @p456 :rule instantiate :premises (@p455) :args ((@list @t284))) % 34.97/35.15 (step @p457 :rule cnf_or_neg :args (@t290 3)) % 34.97/35.15 (step @p458 :rule chain_m_resolution :premises (@p457 @p375) :args ((not @t285) @t260 @t291)) % 34.97/35.15 (step @p459 :rule cnf_equiv_pos2 :args (@t331)) % 34.97/35.15 (step @p460 :rule reordering :premises (@p459) :args ((or @t285 @t332 (not @t331)))) % 34.97/35.15 (step @p461 :rule chain_m_resolution :premises (@p460 @p458 @p456) :args (@t332 @t280 (@list @t285 @t331))) % 34.97/35.15 (step @p462 :rule cnf_and_neg :args (@t330)) % 34.97/35.15 (step @p463 :rule chain_m_resolution :premises (@p462 @p461 @p414) :args ((not @t329) @t280 (@list @t330 @t311))) % 34.97/35.15 (step @p464 :rule cnf_or_neg :args (@t290 2)) % 34.97/35.15 (step @p465 :rule chain_m_resolution :premises (@p464 @p375) :args ((not @t286) @t260 @t291)) % 34.97/35.15 (step @p466 :rule cnf_or_pos :args (@t336)) % 34.97/35.15 (step @p467 :rule reordering :premises (@p466) :args ((or @t286 @t329 @t333 @t335 @t334 (not @t336)))) % 34.97/35.15 (step @p468 :rule chain_m_resolution :premises (@p467 @p465 @p463 @p401 @p388 @p348) :args (@t333 (@list true true false false false) (@list @t286 @t329 @t301 @t293 @t336))) % 34.97/35.15 (step @p469 :rule instantiate :premises (@p455) :args ((@list @t282))) % 34.97/35.15 (step @p470 :rule cnf_or_neg :args (@t290 4)) % 34.97/35.15 (step @p471 :rule chain_m_resolution :premises (@p470 @p375) :args ((not @t283) @t260 @t291)) % 34.97/35.15 (step @p472 :rule cnf_equiv_pos2 :args (@t339)) % 34.97/35.15 (step @p473 :rule reordering :premises (@p472) :args ((or @t283 @t340 (not @t339)))) % 34.97/35.15 (step @p474 :rule chain_m_resolution :premises (@p473 @p471 @p469) :args (@t340 @t280 (@list @t283 @t339))) % 34.97/35.15 (step @p475 :rule cnf_and_neg :args (@t338)) % 34.97/35.15 (step @p476 :rule chain_m_resolution :premises (@p475 @p474 @p468) :args ((not @t337) @t280 (@list @t338 @t333))) % 34.97/35.15 (step @p477 :rule cnf_and_neg :args (@t341)) % 34.97/35.15 (step @p478 :rule reordering :premises (@p477) :args ((or @t308 @t307 @t341))) % 34.97/35.15 (step @p479 :rule chain_m_resolution :premises (@p478 @p408 @p405) :args (@t341 @t266 @t309)) % 34.97/35.15 (step @p480 :rule instantiate :premises (@p137) :args ((@list @t269 @t270 @t253 @t253))) % 34.97/35.15 (step @p481 :rule cnf_equiv_pos2 :args (@t342)) % 34.97/35.15 (step @p482 :rule reordering :premises (@p481) :args ((or @t337 (not @t341) (not @t342)))) % 34.97/35.15 (step @p483 false :rule chain_m_resolution :premises (@p482 @p480 @p479 @p476) :args (false (@list false false true) (@list @t342 @t341 @t337))) % 34.97/35.15 ) % 34.97/35.15 % SZS output end Proof % 34.97/35.15 % cvc5 exiting %------------------------------------------------------------------------------