%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU259+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:51:10 AM UTC 2026 % Result : Theorem 36.84s 37.03s % Output : Proof 36.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU259+2 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n021.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 16:49:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.55 %----Proving TF0_NAR, FOF, or CNF % 36.84/37.03 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 36.84/37.03 --- Run --no-e-matching --full-saturate-quant at 6... % 36.84/37.03 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 36.84/37.03 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 36.84/37.03 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 36.84/37.03 % SZS status Theorem % 36.84/37.03 % SZS output start Proof % 36.84/37.03 ( % 36.84/37.03 (declare-sort $$unsorted 0) % 36.84/37.03 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.connected (-> $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.empty_set $$unsorted) % 36.84/37.03 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.empty (-> $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.function (-> $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.transitive (-> $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.relation (-> $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 36.84/37.03 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 36.84/37.03 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 36.84/37.03 (define @t1 () (@var "A" $$unsorted)) % 36.84/37.03 (define @t2 () (@var "B" $$unsorted)) % 36.84/37.03 (define @t3 () (tptp.in @t2 @t1)) % 36.84/37.03 (define @t4 () (not @t3)) % 36.84/37.03 (define @t5 () (tptp.in @t1 @t2)) % 36.84/37.03 (define @t6 () (@list @t1 @t2)) % 36.84/37.03 (define @t7 () (tptp.proper_subset @t2 @t1)) % 36.84/37.03 (define @t8 () (tptp.proper_subset @t1 @t2)) % 36.84/37.03 (define @t9 () (tptp.function @t1)) % 36.84/37.03 (define @t10 () (tptp.empty @t1)) % 36.84/37.03 (define @t11 () (@list @t1)) % 36.84/37.03 (define @t12 () (tptp.epsilon_connected @t1)) % 36.84/37.03 (define @t13 () (tptp.epsilon_transitive @t1)) % 36.84/37.03 (define @t14 () (and @t13 @t12)) % 36.84/37.03 (define @t15 () (tptp.ordinal @t1)) % 36.84/37.03 (define @t16 () (tptp.relation @t1)) % 36.84/37.03 (define @t17 () (tptp.one_to_one @t1)) % 36.84/37.03 (define @t18 () (and @t16 @t9 @t17)) % 36.84/37.03 (define @t19 () (and @t16 @t10 @t9)) % 36.84/37.03 (define @t20 () (and @t13 @t12 @t15)) % 36.84/37.03 (define @t21 () (tptp.unordered_pair @t1 @t2)) % 36.84/37.03 (define @t22 () (tptp.set_union2 @t2 @t1)) % 36.84/37.03 (define @t23 () (tptp.set_union2 @t1 @t2)) % 36.84/37.03 (define @t24 () (tptp.set_intersection2 @t1 @t2)) % 36.84/37.03 (define @t25 () (tptp.ordinal_subset @t1 @t2)) % 36.84/37.03 (define @t26 () (tptp.ordinal @t2)) % 36.84/37.03 (define @t27 () (and @t15 @t26)) % 36.84/37.03 (define @t28 () (@var "D" $$unsorted)) % 36.84/37.03 (define @t29 () (@var "C" $$unsorted)) % 36.84/37.03 (define @t30 () (= @t29 @t28)) % 36.84/37.03 (define @t31 () (tptp.in @t29 @t1)) % 36.84/37.03 (define @t32 () (tptp.ordered_pair @t29 @t28)) % 36.84/37.03 (define @t33 () (tptp.in @t32 @t2)) % 36.84/37.03 (define @t34 () (@list @t29 @t28)) % 36.84/37.03 (define @t35 () (tptp.identity_relation @t1)) % 36.84/37.03 (define @t36 () (= @t2 @t35)) % 36.84/37.03 (define @t37 () (tptp.relation @t2)) % 36.84/37.03 (define @t38 () (tptp.subset @t2 @t1)) % 36.84/37.03 (define @t39 () (tptp.subset @t1 @t2)) % 36.84/37.03 (define @t40 () (= @t1 @t2)) % 36.84/37.03 (define @t41 () (@var "E" $$unsorted)) % 36.84/37.03 (define @t42 () (tptp.ordered_pair @t28 @t41)) % 36.84/37.03 (define @t43 () (tptp.in @t42 @t1)) % 36.84/37.03 (define @t44 () (tptp.in @t28 @t2)) % 36.84/37.03 (define @t45 () (tptp.in @t42 @t29)) % 36.84/37.03 (define @t46 () (@list @t28 @t41)) % 36.84/37.03 (define @t47 () (tptp.relation_dom_restriction @t1 @t2)) % 36.84/37.03 (define @t48 () (tptp.relation @t29)) % 36.84/37.03 (define @t49 () (@list @t2 @t29)) % 36.84/37.03 (define @t50 () (tptp.in @t41 @t2)) % 36.84/37.03 (define @t51 () (tptp.relation_dom @t1)) % 36.84/37.03 (define @t52 () (@list @t41)) % 36.84/37.03 (define @t53 () (tptp.in @t28 @t29)) % 36.84/37.03 (define @t54 () (@list @t28)) % 36.84/37.03 (define @t55 () (= @t29 (tptp.relation_image @t1 @t2))) % 36.84/37.03 (define @t56 () (and @t16 @t9)) % 36.84/37.03 (define @t57 () (tptp.in @t41 @t1)) % 36.84/37.03 (define @t58 () (tptp.relation_rng_restriction @t1 @t2)) % 36.84/37.03 (define @t59 () (@list @t29)) % 36.84/37.03 (define @t60 () (tptp.relation_field @t1)) % 36.84/37.03 (define @t61 () (tptp.antisymmetric @t1)) % 36.84/37.03 (define @t62 () (tptp.apply @t1 @t28)) % 36.84/37.03 (define @t63 () (tptp.in @t28 @t51)) % 36.84/37.03 (define @t64 () (= @t29 (tptp.relation_inverse_image @t1 @t2))) % 36.84/37.03 (define @t65 () (tptp.connected @t1)) % 36.84/37.03 (define @t66 () (tptp.transitive @t1)) % 36.84/37.03 (define @t67 () (tptp.in @t41 @t28)) % 36.84/37.03 (define @t68 () (@list @t1 @t2 @t29 @t28)) % 36.84/37.03 (define @t69 () (tptp.singleton @t1)) % 36.84/37.03 (define @t70 () (tptp.succ @t1)) % 36.84/37.03 (define @t71 () (@list @t2)) % 36.84/37.03 (define @t72 () (tptp.in @t29 @t2)) % 36.84/37.03 (define @t73 () (tptp.is_reflexive_in @t1 @t2)) % 36.84/37.03 (define @t74 () (= @t2 tptp.empty_set)) % 36.84/37.03 (define @t75 () (= @t2 (tptp.set_meet @t1))) % 36.84/37.03 (define @t76 () (= @t1 tptp.empty_set)) % 36.84/37.03 (define @t77 () (tptp.in @t29 @t28)) % 36.84/37.03 (define @t78 () (tptp.in @t28 @t1)) % 36.84/37.03 (define @t79 () (not @t76)) % 36.84/37.03 (define @t80 () (= @t28 @t2)) % 36.84/37.03 (define @t81 () (tptp.powerset @t1)) % 36.84/37.03 (define @t82 () (tptp.in @t32 @t1)) % 36.84/37.03 (define @t83 () (tptp.empty @t2)) % 36.84/37.03 (define @t84 () (tptp.element @t2 @t1)) % 36.84/37.03 (define @t85 () (not @t10)) % 36.84/37.03 (define @t86 () (@list @t1 @t2 @t29)) % 36.84/37.03 (define @t87 () (not @t74)) % 36.84/37.03 (define @t88 () (tptp.well_founded_relation @t1)) % 36.84/37.03 (define @t89 () (@var "F" $$unsorted)) % 36.84/37.03 (define @t90 () (tptp.cartesian_product2 @t1 @t2)) % 36.84/37.03 (define @t91 () (not @t72)) % 36.84/37.03 (define @t92 () (= @t2 @t29)) % 36.84/37.03 (define @t93 () (not @t92)) % 36.84/37.03 (define @t94 () (tptp.in @t2 @t29)) % 36.84/37.03 (define @t95 () (forall @t59 (=> @t31 @t72))) % 36.84/37.03 (define @t96 () (= @t29 tptp.empty_set)) % 36.84/37.03 (define @t97 () (tptp.subset @t29 @t2)) % 36.84/37.03 (define @t98 () (tptp.is_well_founded_in @t1 @t2)) % 36.84/37.03 (define @t99 () (tptp.apply @t1 @t2)) % 36.84/37.03 (define @t100 () (= @t29 @t99)) % 36.84/37.03 (define @t101 () (tptp.in @t2 @t51)) % 36.84/37.03 (define @t102 () (tptp.in (tptp.ordered_pair @t2 @t29) @t1)) % 36.84/37.03 (define @t103 () (tptp.in (tptp.ordered_pair @t28 @t29) @t1)) % 36.84/37.03 (define @t104 () (tptp.is_antisymmetric_in @t1 @t2)) % 36.84/37.03 (define @t105 () (tptp.cast_to_subset @t1)) % 36.84/37.03 (define @t106 () (tptp.union @t1)) % 36.84/37.03 (define @t107 () (tptp.reflexive @t1)) % 36.84/37.03 (define @t108 () (tptp.well_ordering @t1)) % 36.84/37.03 (define @t109 () (tptp.set_difference @t1 @t2)) % 36.84/37.03 (define @t110 () (= @t29 @t62)) % 36.84/37.03 (define @t111 () (and @t63 @t110)) % 36.84/37.03 (define @t112 () (tptp.relation_rng @t1)) % 36.84/37.03 (define @t113 () (= @t2 @t112)) % 36.84/37.03 (define @t114 () (tptp.subset_complement @t1 @t2)) % 36.84/37.03 (define @t115 () (tptp.element @t2 @t81)) % 36.84/37.03 (define @t116 () (tptp.ordered_pair @t1 @t2)) % 36.84/37.03 (define @t117 () (tptp.is_connected_in @t1 @t2)) % 36.84/37.03 (define @t118 () (tptp.is_transitive_in @t1 @t2)) % 36.84/37.03 (define @t119 () (tptp.being_limit_ordinal @t1)) % 36.84/37.03 (define @t120 () (tptp.cartesian_product2 @t2 @t2)) % 36.84/37.03 (define @t121 () (tptp.relation_restriction @t1 @t2)) % 36.84/37.03 (define @t122 () (tptp.relation_inverse @t1)) % 36.84/37.03 (define @t123 () (tptp.apply @t29 @t28)) % 36.84/37.03 (define @t124 () (tptp.in @t41 @t60)) % 36.84/37.03 (define @t125 () (tptp.in @t28 @t60)) % 36.84/37.03 (define @t126 () (forall @t46 (= @t43 (and @t125 @t124 (tptp.in (tptp.ordered_pair @t123 (tptp.apply @t29 @t41)) @t2))))) % 36.84/37.03 (define @t127 () (tptp.one_to_one @t29)) % 36.84/37.03 (define @t128 () (tptp.relation_field @t2)) % 36.84/37.03 (define @t129 () (tptp.relation_rng @t29)) % 36.84/37.03 (define @t130 () (= @t129 @t128)) % 36.84/37.03 (define @t131 () (tptp.relation_dom @t29)) % 36.84/37.03 (define @t132 () (and (= @t131 @t60) @t130 @t127 @t126)) % 36.84/37.03 (define @t133 () (tptp.relation_isomorphism @t1 @t2 @t29)) % 36.84/37.03 (define @t134 () (= @t133 @t132)) % 36.84/37.03 (define @t135 () (tptp.function @t29)) % 36.84/37.03 (define @t136 () (and @t48 @t135)) % 36.84/37.03 (define @t137 () (=> @t136 @t134)) % 36.84/37.03 (define @t138 () (forall @t59 @t137)) % 36.84/37.03 (define @t139 () (=> @t37 @t138)) % 36.84/37.03 (define @t140 () (forall @t71 @t139)) % 36.84/37.03 (define @t141 () (=> @t16 @t140)) % 36.84/37.03 (define @t142 () (forall @t11 @t141)) % 36.84/37.03 (define @t143 () (tptp.disjoint @t1 @t2)) % 36.84/37.03 (define @t144 () (tptp.relation_composition @t1 @t2)) % 36.84/37.03 (define @t145 () (tptp.complements_of_subsets @t1 @t2)) % 36.84/37.03 (define @t146 () (tptp.powerset @t81)) % 36.84/37.03 (define @t147 () (tptp.element @t2 @t146)) % 36.84/37.03 (define @t148 () (not @t40)) % 36.84/37.03 (define @t149 () (tptp.function_inverse @t1)) % 36.84/37.03 (define @t150 () (and (tptp.relation @t149) (tptp.function @t149))) % 36.84/37.03 (define @t151 () (forall @t11 (=> @t56 @t150))) % 36.84/37.03 (define @t152 () (tptp.relation @t122)) % 36.84/37.03 (define @t153 () (tptp.relation @t144)) % 36.84/37.03 (define @t154 () (and @t16 @t37)) % 36.84/37.03 (define @t155 () (tptp.union_of_subsets @t1 @t2)) % 36.84/37.03 (define @t156 () (tptp.relation @t35)) % 36.84/37.03 (define @t157 () (tptp.meet_of_subsets @t1 @t2)) % 36.84/37.03 (define @t158 () (tptp.subset_difference @t1 @t2 @t29)) % 36.84/37.03 (define @t159 () (tptp.element @t29 @t81)) % 36.84/37.03 (define @t160 () (and @t115 @t159)) % 36.84/37.03 (define @t161 () (tptp.relation @t47)) % 36.84/37.03 (define @t162 () (tptp.relation @t58)) % 36.84/37.03 (define @t163 () (tptp.relation_composition @t2 @t1)) % 36.84/37.03 (define @t164 () (and @t10 @t37)) % 36.84/37.03 (define @t165 () (tptp.relation_empty_yielding tptp.empty_set)) % 36.84/37.03 (define @t166 () (tptp.relation tptp.empty_set)) % 36.84/37.03 (define @t167 () (tptp.empty tptp.empty_set)) % 36.84/37.03 (define @t168 () (tptp.relation_empty_yielding @t1)) % 36.84/37.03 (define @t169 () (and @t16 @t168)) % 36.84/37.03 (define @t170 () (tptp.function @t2)) % 36.84/37.03 (define @t171 () (not (tptp.empty @t70))) % 36.84/37.03 (define @t172 () (not @t83)) % 36.84/37.03 (define @t173 () (and @t37 @t170)) % 36.84/37.03 (define @t174 () (tptp.empty @t51)) % 36.84/37.03 (define @t175 () (and @t85 @t16)) % 36.84/37.03 (define @t176 () (tptp.empty @t112)) % 36.84/37.03 (define @t177 () (tptp.in @t2 @t60)) % 36.84/37.03 (define @t178 () (tptp.disjoint @t69 @t2)) % 36.84/37.03 (define @t179 () (not @t5)) % 36.84/37.03 (define @t180 () (tptp.relation_dom @t2)) % 36.84/37.03 (define @t181 () (tptp.in (tptp.ordered_pair @t29 @t2) @t1)) % 36.84/37.03 (define @t182 () (not @t102)) % 36.84/37.03 (define @t183 () (tptp.singleton @t2)) % 36.84/37.03 (define @t184 () (tptp.union @t2)) % 36.84/37.03 (define @t185 () (tptp.in @t1 @t29)) % 36.84/37.03 (define @t186 () (tptp.element @t1 (tptp.powerset @t2))) % 36.84/37.03 (define @t187 () (tptp.relation_dom_restriction @t29 @t1)) % 36.84/37.03 (define @t188 () (tptp.in @t2 (tptp.relation_dom @t187))) % 36.84/37.03 (define @t189 () (tptp.set_difference @t2 @t29)) % 36.84/37.03 (define @t190 () (= @t1 @t29)) % 36.84/37.03 (define @t191 () (tptp.relation_rng @t58)) % 36.84/37.03 (define @t192 () (tptp.relation_rng @t2)) % 36.84/37.03 (define @t193 () (tptp.cartesian_product2 @t1 @t29)) % 36.84/37.03 (define @t194 () (forall @t59 (not (and @t97 (not (tptp.are_equipotent @t29 @t2)) @t91)))) % 36.84/37.03 (define @t195 () (tptp.powerset @t29)) % 36.84/37.03 (define @t196 () (forall @t34 (=> (and @t72 (tptp.subset @t28 @t29)) @t44))) % 36.84/37.03 (define @t197 () (tptp.relation_dom_restriction @t29 @t2)) % 36.84/37.03 (define @t198 () (tptp.relation_image @t2 @t1)) % 36.84/37.03 (define @t199 () (tptp.relation_inverse_image @t2 @t1)) % 36.84/37.03 (define @t200 () (tptp.relation_image @t2 @t199)) % 36.84/37.03 (define @t201 () (tptp.set_intersection2 @t180 @t1)) % 36.84/37.03 (define @t202 () (tptp.subset @t1 @t192)) % 36.84/37.03 (define @t203 () (tptp.relation_rng @t144)) % 36.84/37.03 (define @t204 () (tptp.relation_inverse_image @t29 @t2)) % 36.84/37.03 (define @t205 () (tptp.relation_restriction @t29 @t2)) % 36.84/37.03 (define @t206 () (tptp.relation_restriction @t2 @t1)) % 36.84/37.03 (define @t207 () (tptp.relation_dom_restriction @t2 @t1)) % 36.84/37.03 (define @t208 () (tptp.relation_field @t29)) % 36.84/37.03 (define @t209 () (tptp.in @t1 @t208)) % 36.84/37.03 (define @t210 () (tptp.set_intersection2 @t2 @t29)) % 36.84/37.03 (define @t211 () (tptp.subset @t1 @t29)) % 36.84/37.03 (define @t212 () (tptp.element @t1 @t2)) % 36.84/37.03 (define @t213 () (tptp.in @t1 @t131)) % 36.84/37.03 (define @t214 () (tptp.in @t116 @t29)) % 36.84/37.03 (define @t215 () (tptp.relation_field @t206)) % 36.84/37.03 (define @t216 () (tptp.apply @t29 @t1)) % 36.84/37.03 (define @t217 () (tptp.relation_composition @t29 @t2)) % 36.84/37.03 (define @t218 () (tptp.in @t1 (tptp.relation_dom @t217))) % 36.84/37.03 (define @t219 () (and @t209 (tptp.in @t2 @t208))) % 36.84/37.03 (define @t220 () (=> @t214 @t219)) % 36.84/37.03 (define @t221 () (forall @t86 (=> @t48 @t220))) % 36.84/37.03 (define @t222 () (tptp.well_ordering @t2)) % 36.84/37.03 (define @t223 () (tptp.apply @t2 @t29)) % 36.84/37.03 (define @t224 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 36.84/37.03 (define @t225 () (and @t31 @t72)) % 36.84/37.03 (define @t226 () (not @t143)) % 36.84/37.03 (define @t227 () (tptp.succ @t2)) % 36.84/37.03 (define @t228 () (= @t1 @t227)) % 36.84/37.03 (define @t229 () (tptp.subset_complement @t1 @t29)) % 36.84/37.03 (define @t230 () (tptp.disjoint @t2 @t29)) % 36.84/37.03 (define @t231 () (tptp.relation_dom @t144)) % 36.84/37.03 (define @t232 () (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t29))) % 36.84/37.03 (define @t233 () (=> @t133 @t232)) % 36.84/37.03 (define @t234 () (forall @t59 (=> @t136 @t233))) % 36.84/37.03 (define @t235 () (=> @t37 @t234)) % 36.84/37.03 (define @t236 () (forall @t71 @t235)) % 36.84/37.03 (define @t237 () (=> @t16 @t236)) % 36.84/37.03 (define @t238 () (forall @t11 @t237)) % 36.84/37.03 (define @t239 () (not @t238)) % 36.84/37.03 (define @t240 () (tptp.element @t2 @t195)) % 36.84/37.03 (define @t241 () (tptp.in @t29 @t24)) % 36.84/37.03 (define @t242 () (= @t28 @t223)) % 36.84/37.03 (define @t243 () (tptp.in @t29 @t112)) % 36.84/37.03 (define @t244 () (and @t243 @t242)) % 36.84/37.03 (define @t245 () (and (=> @t244 @t111) (=> @t111 @t244))) % 36.84/37.03 (define @t246 () (forall @t34 @t245)) % 36.84/37.03 (define @t247 () (and (= @t180 @t112) @t246)) % 36.84/37.03 (define @t248 () (= @t2 @t149)) % 36.84/37.03 (define @t249 () (= @t248 @t247)) % 36.84/37.03 (define @t250 () (=> @t173 @t249)) % 36.84/37.03 (define @t251 () (forall @t71 @t250)) % 36.84/37.03 (define @t252 () (=> @t17 @t251)) % 36.84/37.03 (define @t253 () (=> @t56 @t252)) % 36.84/37.03 (define @t254 () (forall @t11 @t253)) % 36.84/37.03 (define @t255 () (and (= @t112 (tptp.relation_dom @t149)) (= @t51 (tptp.relation_rng @t149)))) % 36.84/37.03 (define @t256 () (=> @t17 @t255)) % 36.84/37.03 (define @t257 () (forall @t11 (=> @t56 @t256))) % 36.84/37.03 (define @t258 () (tptp.function_inverse @t2)) % 36.84/37.03 (define @t259 () (and (= @t1 (tptp.apply @t2 (tptp.apply @t258 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t258 @t2) @t1)))) % 36.84/37.03 (define @t260 () (tptp.in @t1 @t192)) % 36.84/37.03 (define @t261 () (tptp.one_to_one @t2)) % 36.84/37.03 (define @t262 () (and @t261 @t260)) % 36.84/37.03 (define @t263 () (=> @t262 @t259)) % 36.84/37.03 (define @t264 () (forall @t6 (=> @t173 @t263))) % 36.84/37.03 (define @t265 () (tptp.one_to_one @t149)) % 36.84/37.03 (define @t266 () (=> @t17 @t265)) % 36.84/37.03 (define @t267 () (forall @t11 (=> @t56 @t266))) % 36.84/37.03 (define @t268 () (= @t112 tptp.empty_set)) % 36.84/37.03 (define @t269 () (= @t51 tptp.empty_set)) % 36.84/37.03 (define @t270 () (= (tptp.apply @t187 @t2) (tptp.apply @t29 @t2))) % 36.84/37.03 (define @t271 () (= @t69 (tptp.unordered_pair @t2 @t29))) % 36.84/37.03 (define @t272 () (@var "BOUND_VARIABLE_10041" $$unsorted)) % 36.84/37.03 (define @t273 () (@var "BOUND_VARIABLE_10043" $$unsorted)) % 36.84/37.03 (define @t274 () (= (tptp.relation_isomorphism @t1 @t272 @t273) (and (= @t60 (tptp.relation_dom @t273)) (= (tptp.relation_field @t272) (tptp.relation_rng @t273)) (tptp.one_to_one @t273) (forall @t46 (= @t43 (and @t125 @t124 (tptp.in (tptp.ordered_pair (tptp.apply @t273 @t28) (tptp.apply @t273 @t41)) @t272))))))) % 36.84/37.03 (define @t275 () (not (tptp.function @t273))) % 36.84/37.03 (define @t276 () (not (tptp.relation @t273))) % 36.84/37.03 (define @t277 () (not (tptp.relation @t272))) % 36.84/37.03 (define @t278 () (not @t16)) % 36.84/37.03 (define @t279 () (or @t277 @t276 @t275 @t274)) % 36.84/37.03 (define @t280 () (or @t278 @t279)) % 36.84/37.03 (define @t281 () (forall (@list @t1 @t272 @t273) @t280)) % 36.84/37.03 (define @t282 () (@list @t272 @t273)) % 36.84/37.03 (define @t283 () (forall @t282 @t280)) % 36.84/37.03 (define @t284 () (forall @t282 @t279)) % 36.84/37.03 (define @t285 () (@var "BOUND_VARIABLE_10006" $$unsorted)) % 36.84/37.03 (define @t286 () (or @t278 @t284)) % 36.84/37.03 (define @t287 () (forall @t46 (= @t43 (and @t125 @t124 (tptp.in (tptp.ordered_pair (tptp.apply @t285 @t28) (tptp.apply @t285 @t41)) @t2))))) % 36.84/37.03 (define @t288 () (tptp.one_to_one @t285)) % 36.84/37.03 (define @t289 () (tptp.relation_rng @t285)) % 36.84/37.03 (define @t290 () (= @t60 (tptp.relation_dom @t285))) % 36.84/37.03 (define @t291 () (tptp.relation_isomorphism @t1 @t2 @t285)) % 36.84/37.03 (define @t292 () (not (tptp.function @t285))) % 36.84/37.03 (define @t293 () (not (tptp.relation @t285))) % 36.84/37.03 (define @t294 () (not @t37)) % 36.84/37.03 (define @t295 () (@list @t2 @t285)) % 36.84/37.03 (define @t296 () (forall @t295 (or @t294 @t293 @t292 (= @t291 (and @t290 (= @t128 @t289) @t288 @t287))))) % 36.84/37.03 (define @t297 () (and @t290 (= @t289 @t128) @t288 @t287)) % 36.84/37.03 (define @t298 () (= @t291 @t297)) % 36.84/37.03 (define @t299 () (or @t294 @t293 @t292 @t298)) % 36.84/37.03 (define @t300 () (or @t293 @t292 @t298)) % 36.84/37.03 (define @t301 () (or @t294 @t300)) % 36.84/37.03 (define @t302 () (forall @t295 @t301)) % 36.84/37.03 (define @t303 () (@list @t285)) % 36.84/37.03 (define @t304 () (forall @t303 @t301)) % 36.84/37.03 (define @t305 () (forall @t303 @t300)) % 36.84/37.03 (define @t306 () (@list @t29)) % 36.84/37.03 (define @t307 () (or @t294 @t305)) % 36.84/37.03 (define @t308 () (= @t133 (and (= @t60 @t131) @t130 @t127 @t126))) % 36.84/37.03 (define @t309 () (not @t135)) % 36.84/37.03 (define @t310 () (not @t48)) % 36.84/37.03 (define @t311 () (or @t310 @t309 @t308)) % 36.84/37.03 (define @t312 () (forall @t59 @t311)) % 36.84/37.03 (define @t313 () (or @t310 @t309)) % 36.84/37.03 (define @t314 () (not @t136)) % 36.84/37.03 (define @t315 () (@var "BOUND_VARIABLE_11403" $$unsorted)) % 36.84/37.03 (define @t316 () (@var "BOUND_VARIABLE_11401" $$unsorted)) % 36.84/37.03 (define @t317 () (tptp.relation_isomorphism @t316 @t1 (tptp.function_inverse @t315))) % 36.84/37.03 (define @t318 () (not (tptp.relation_isomorphism @t1 @t316 @t315))) % 36.84/37.03 (define @t319 () (not (tptp.function @t315))) % 36.84/37.03 (define @t320 () (not (tptp.relation @t315))) % 36.84/37.03 (define @t321 () (not (tptp.relation @t316))) % 36.84/37.03 (define @t322 () (or @t278 @t321 @t320 @t319 @t318 @t317)) % 36.84/37.03 (define @t323 () (@list @t1 @t316 @t315)) % 36.84/37.03 (define @t324 () (forall @t323 @t322)) % 36.84/37.03 (define @t325 () (@quantifiers_skolemize @t324 2)) % 36.84/37.03 (define @t326 () (@quantifiers_skolemize @t324 1)) % 36.84/37.03 (define @t327 () (@quantifiers_skolemize @t324 0)) % 36.84/37.03 (define @t328 () (or @t321 @t320 @t319 @t318 @t317)) % 36.84/37.03 (define @t329 () (or @t278 @t328)) % 36.84/37.03 (define @t330 () (forall @t323 @t329)) % 36.84/37.03 (define @t331 () (@list @t316 @t315)) % 36.84/37.03 (define @t332 () (forall @t331 @t329)) % 36.84/37.03 (define @t333 () (forall @t331 @t328)) % 36.84/37.03 (define @t334 () (@var "BOUND_VARIABLE_11381" $$unsorted)) % 36.84/37.03 (define @t335 () (or @t278 @t333)) % 36.84/37.03 (define @t336 () (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t334))) % 36.84/37.03 (define @t337 () (not (tptp.relation_isomorphism @t1 @t2 @t334))) % 36.84/37.03 (define @t338 () (not (tptp.function @t334))) % 36.84/37.03 (define @t339 () (not (tptp.relation @t334))) % 36.84/37.03 (define @t340 () (or @t294 @t339 @t338 @t337 @t336)) % 36.84/37.03 (define @t341 () (@list @t2 @t334)) % 36.84/37.03 (define @t342 () (forall @t341 @t340)) % 36.84/37.03 (define @t343 () (or @t339 @t338 @t337 @t336)) % 36.84/37.03 (define @t344 () (or @t294 @t343)) % 36.84/37.03 (define @t345 () (forall @t341 @t344)) % 36.84/37.03 (define @t346 () (@list @t334)) % 36.84/37.03 (define @t347 () (forall @t346 @t344)) % 36.84/37.03 (define @t348 () (forall @t346 @t343)) % 36.84/37.03 (define @t349 () (or @t294 @t348)) % 36.84/37.03 (define @t350 () (not @t133)) % 36.84/37.03 (define @t351 () (or @t310 @t309 @t350 @t232)) % 36.84/37.03 (define @t352 () (forall @t59 @t351)) % 36.84/37.03 (define @t353 () (tptp.function @t325)) % 36.84/37.03 (define @t354 () (tptp.function_inverse @t325)) % 36.84/37.03 (define @t355 () (tptp.relation_isomorphism @t326 @t327 @t354)) % 36.84/37.03 (define @t356 () (tptp.relation_isomorphism @t327 @t326 @t325)) % 36.84/37.03 (define @t357 () (not @t356)) % 36.84/37.03 (define @t358 () (not @t353)) % 36.84/37.03 (define @t359 () (tptp.relation @t325)) % 36.84/37.03 (define @t360 () (not @t359)) % 36.84/37.03 (define @t361 () (tptp.relation @t326)) % 36.84/37.03 (define @t362 () (not @t361)) % 36.84/37.03 (define @t363 () (tptp.relation @t327)) % 36.84/37.03 (define @t364 () (not @t363)) % 36.84/37.03 (define @t365 () (or @t364 @t362 @t360 @t358 @t357 @t355)) % 36.84/37.03 (define @t366 () (@list true)) % 36.84/37.03 (define @t367 () (@list @t365)) % 36.84/37.03 (define @t368 () (tptp.relation_field @t327)) % 36.84/37.03 (define @t369 () (forall @t46 (= (tptp.in @t42 @t327) (and (tptp.in @t28 @t368) (tptp.in @t41 @t368) (tptp.in (tptp.ordered_pair (tptp.apply @t325 @t28) (tptp.apply @t325 @t41)) @t326))))) % 36.84/37.03 (define @t370 () (tptp.one_to_one @t325)) % 36.84/37.03 (define @t371 () (tptp.relation_rng @t325)) % 36.84/37.03 (define @t372 () (tptp.relation_field @t326)) % 36.84/37.03 (define @t373 () (= @t372 @t371)) % 36.84/37.03 (define @t374 () (tptp.relation_dom @t325)) % 36.84/37.03 (define @t375 () (= @t368 @t374)) % 36.84/37.03 (define @t376 () (and @t375 @t373 @t370 @t369)) % 36.84/37.03 (define @t377 () (= @t356 @t376)) % 36.84/37.03 (define @t378 () (or @t364 @t362 @t360 @t358 @t377)) % 36.84/37.03 (define @t379 () (@list false false false false false)) % 36.84/37.03 (define @t380 () (@list false false)) % 36.84/37.03 (define @t381 () (not @t376)) % 36.84/37.03 (define @t382 () (@list false)) % 36.84/37.03 (define @t383 () (@list @t376)) % 36.84/37.03 (define @t384 () (not @t17)) % 36.84/37.03 (define @t385 () (not @t9)) % 36.84/37.03 (define @t386 () (or @t278 @t385)) % 36.84/37.03 (define @t387 () (not @t56)) % 36.84/37.03 (define @t388 () (@list @t325)) % 36.84/37.03 (define @t389 () (tptp.one_to_one @t354)) % 36.84/37.03 (define @t390 () (not @t370)) % 36.84/37.03 (define @t391 () (or @t360 @t358 @t390 @t389)) % 36.84/37.03 (define @t392 () (@list false false false false)) % 36.84/37.03 (define @t393 () (tptp.relation_rng @t354)) % 36.84/37.03 (define @t394 () (= @t374 @t393)) % 36.84/37.03 (define @t395 () (tptp.relation_dom @t354)) % 36.84/37.03 (define @t396 () (= @t371 @t395)) % 36.84/37.03 (define @t397 () (and @t396 @t394)) % 36.84/37.03 (define @t398 () (or @t360 @t358 @t390 @t397)) % 36.84/37.03 (define @t399 () (not @t397)) % 36.84/37.03 (define @t400 () (@list @t397)) % 36.84/37.03 (define @t401 () (tptp.function @t354)) % 36.84/37.03 (define @t402 () (tptp.relation @t354)) % 36.84/37.03 (define @t403 () (and @t402 @t401)) % 36.84/37.03 (define @t404 () (or @t360 @t358 @t403)) % 36.84/37.03 (define @t405 () (@list false false false)) % 36.84/37.03 (define @t406 () (not @t403)) % 36.84/37.03 (define @t407 () (@list @t403)) % 36.84/37.03 (define @t408 () (forall @t46 (= (tptp.in @t42 @t326) (and (tptp.in @t28 @t372) (tptp.in @t41 @t372) (tptp.in (tptp.ordered_pair (tptp.apply @t354 @t28) (tptp.apply @t354 @t41)) @t327))))) % 36.84/37.03 (define @t409 () (= @t368 @t393)) % 36.84/37.03 (define @t410 () (= @t372 @t395)) % 36.84/37.03 (define @t411 () (and @t410 @t409 @t389 @t408)) % 36.84/37.03 (define @t412 () (= @t355 @t411)) % 36.84/37.03 (define @t413 () (not @t401)) % 36.84/37.03 (define @t414 () (not @t402)) % 36.84/37.03 (define @t415 () (or @t362 @t364 @t414 @t413 @t412)) % 36.84/37.03 (define @t416 () (not @t411)) % 36.84/37.03 (define @t417 () (@list true false)) % 36.84/37.03 (define @t418 () (@quantifiers_skolemize @t408 1)) % 36.84/37.03 (define @t419 () (tptp.apply @t354 @t418)) % 36.84/37.03 (define @t420 () (@quantifiers_skolemize @t408 0)) % 36.84/37.03 (define @t421 () (tptp.apply @t354 @t420)) % 36.84/37.03 (define @t422 () (tptp.in (tptp.ordered_pair @t421 @t419) @t327)) % 36.84/37.03 (define @t423 () (tptp.in @t418 @t372)) % 36.84/37.03 (define @t424 () (tptp.in @t420 @t372)) % 36.84/37.03 (define @t425 () (and @t424 @t423 @t422)) % 36.84/37.03 (define @t426 () (tptp.in (tptp.ordered_pair @t420 @t418) @t326)) % 36.84/37.03 (define @t427 () (= @t426 @t425)) % 36.84/37.03 (define @t428 () (not @t425)) % 36.84/37.03 (define @t429 () (tptp.apply @t325 @t419)) % 36.84/37.03 (define @t430 () (tptp.apply @t325 @t421)) % 36.84/37.03 (define @t431 () (tptp.ordered_pair @t430 @t429)) % 36.84/37.03 (define @t432 () (tptp.in @t431 @t326)) % 36.84/37.03 (define @t433 () (tptp.in @t419 @t368)) % 36.84/37.03 (define @t434 () (tptp.in @t421 @t368)) % 36.84/37.03 (define @t435 () (and @t434 @t433 @t432)) % 36.84/37.03 (define @t436 () (= @t422 @t435)) % 36.84/37.03 (define @t437 () (not @t436)) % 36.84/37.03 (define @t438 () (not @t422)) % 36.84/37.03 (define @t439 () (not @t435)) % 36.84/37.03 (define @t440 () (tptp.in @t420 @t371)) % 36.84/37.03 (define @t441 () (and @t373 @t424)) % 36.84/37.03 (define @t442 () (tptp.in @t418 @t371)) % 36.84/37.03 (define @t443 () (and @t373 @t423)) % 36.84/37.03 (define @t444 () (not @t260)) % 36.84/37.03 (define @t445 () (not @t261)) % 36.84/37.03 (define @t446 () (not @t170)) % 36.84/37.03 (define @t447 () (or @t445 @t444 @t259)) % 36.84/37.03 (define @t448 () (or @t294 @t446)) % 36.84/37.03 (define @t449 () (not @t173)) % 36.84/37.03 (define @t450 () (tptp.relation_composition @t354 @t325)) % 36.84/37.03 (define @t451 () (= @t420 @t430)) % 36.84/37.03 (define @t452 () (and @t451 (= @t420 (tptp.apply @t450 @t420)))) % 36.84/37.03 (define @t453 () (not @t440)) % 36.84/37.03 (define @t454 () (or @t360 @t358 @t390 @t453 @t452)) % 36.84/37.03 (define @t455 () (= @t418 @t429)) % 36.84/37.03 (define @t456 () (and @t455 (= @t418 (tptp.apply @t450 @t418)))) % 36.84/37.03 (define @t457 () (not @t442)) % 36.84/37.03 (define @t458 () (or @t360 @t358 @t390 @t457 @t456)) % 36.84/37.03 (define @t459 () (not @t432)) % 36.84/37.03 (define @t460 () (not @t455)) % 36.84/37.03 (define @t461 () (not @t451)) % 36.84/37.03 (define @t462 () (not @t426)) % 36.84/37.03 (define @t463 () (not @t214)) % 36.84/37.03 (define @t464 () (and @t424 @t423)) % 36.84/37.03 (define @t465 () (or @t362 @t462 @t464)) % 36.84/37.03 (define @t466 () (not @t464)) % 36.84/37.03 (define @t467 () (@list @t464)) % 36.84/37.03 (define @t468 () (and @t426 @t451 @t455)) % 36.84/37.03 (define @t469 () (@var "BOUND_VARIABLE_11599" $$unsorted)) % 36.84/37.03 (define @t470 () (= @t149 @t469)) % 36.84/37.03 (define @t471 () (@var "BOUND_VARIABLE_11546" $$unsorted)) % 36.84/37.03 (define @t472 () (tptp.apply @t1 @t471)) % 36.84/37.03 (define @t473 () (tptp.in @t472 @t112)) % 36.84/37.03 (define @t474 () (not (tptp.in @t471 @t51))) % 36.84/37.03 (define @t475 () (@list @t471)) % 36.84/37.03 (define @t476 () (@var "BOUND_VARIABLE_11528" $$unsorted)) % 36.84/37.03 (define @t477 () (tptp.apply @t469 @t476)) % 36.84/37.03 (define @t478 () (not (tptp.in @t476 @t112))) % 36.84/37.03 (define @t479 () (@list @t476)) % 36.84/37.03 (define @t480 () (and (= @t112 (tptp.relation_dom @t469)) (forall @t479 (or @t478 (and (tptp.in @t477 @t51) (= @t476 (tptp.apply @t1 @t477))))) (forall @t475 (or @t474 (and @t473 (= @t471 (tptp.apply @t469 @t472))))))) % 36.84/37.03 (define @t481 () (= (= @t469 @t149) @t480)) % 36.84/37.03 (define @t482 () (not (tptp.function @t469))) % 36.84/37.03 (define @t483 () (not (tptp.relation @t469))) % 36.84/37.03 (define @t484 () (or @t278 @t385 @t384 @t483 @t482 @t481)) % 36.84/37.03 (define @t485 () (or @t483 @t482 @t481)) % 36.84/37.03 (define @t486 () (or @t278 @t385 @t384 @t485)) % 36.84/37.03 (define @t487 () (@list @t1 @t469)) % 36.84/37.03 (define @t488 () (forall @t487 @t486)) % 36.84/37.03 (define @t489 () (@list @t469)) % 36.84/37.03 (define @t490 () (forall @t489 @t486)) % 36.84/37.03 (define @t491 () (forall @t489 @t485)) % 36.84/37.03 (define @t492 () (or @t278 @t385 @t384 @t491)) % 36.84/37.03 (define @t493 () (and @t473 (= @t471 (tptp.apply @t2 @t472)))) % 36.84/37.03 (define @t494 () (or @t474 @t493)) % 36.84/37.03 (define @t495 () (forall @t475 @t494)) % 36.84/37.03 (define @t496 () (tptp.apply @t2 @t476)) % 36.84/37.03 (define @t497 () (and (tptp.in @t496 @t51) (= @t476 (tptp.apply @t1 @t496)))) % 36.84/37.03 (define @t498 () (or @t478 @t497)) % 36.84/37.03 (define @t499 () (forall @t479 @t498)) % 36.84/37.03 (define @t500 () (= @t112 @t180)) % 36.84/37.03 (define @t501 () (and @t500 @t499 @t495)) % 36.84/37.03 (define @t502 () (= @t248 @t501)) % 36.84/37.03 (define @t503 () (or @t294 @t446 @t502)) % 36.84/37.03 (define @t504 () (forall @t71 @t503)) % 36.84/37.03 (define @t505 () (or @t278 @t385 @t384 @t504)) % 36.84/37.03 (define @t506 () (=> @t17 @t504)) % 36.84/37.03 (define @t507 () (not (= @t472 @t472))) % 36.84/37.03 (define @t508 () (or @t474 @t507 @t493)) % 36.84/37.03 (define @t509 () (@var "BOUND_VARIABLE_11544" $$unsorted)) % 36.84/37.03 (define @t510 () (and (tptp.in @t509 @t112) (= @t471 (tptp.apply @t2 @t509)))) % 36.84/37.03 (define @t511 () (not (= @t509 @t472))) % 36.84/37.03 (define @t512 () (or @t511 @t474 @t511 @t510)) % 36.84/37.03 (define @t513 () (@list @t509)) % 36.84/37.03 (define @t514 () (or @t474 @t511 @t510)) % 36.84/37.03 (define @t515 () (forall @t513 @t514)) % 36.84/37.03 (define @t516 () (forall @t475 @t515)) % 36.84/37.03 (define @t517 () (forall (@list @t471 @t509) @t514)) % 36.84/37.03 (define @t518 () (forall (@list @t509 @t471) @t514)) % 36.84/37.03 (define @t519 () (not (= @t496 @t496))) % 36.84/37.03 (define @t520 () (or @t478 @t519 @t497)) % 36.84/37.03 (define @t521 () (@var "BOUND_VARIABLE_11530" $$unsorted)) % 36.84/37.03 (define @t522 () (and (tptp.in @t521 @t51) (= @t476 (tptp.apply @t1 @t521)))) % 36.84/37.03 (define @t523 () (not (= @t521 @t496))) % 36.84/37.03 (define @t524 () (or @t523 @t478 @t523 @t522)) % 36.84/37.03 (define @t525 () (@list @t521)) % 36.84/37.03 (define @t526 () (or @t478 @t523 @t522)) % 36.84/37.03 (define @t527 () (forall @t525 @t526)) % 36.84/37.03 (define @t528 () (forall @t479 @t527)) % 36.84/37.03 (define @t529 () (forall (@list @t476 @t521) @t526)) % 36.84/37.03 (define @t530 () (not @t110)) % 36.84/37.03 (define @t531 () (not @t63)) % 36.84/37.03 (define @t532 () (or @t531 @t530 @t244)) % 36.84/37.03 (define @t533 () (forall @t34 @t532)) % 36.84/37.03 (define @t534 () (@list @t29 @t28)) % 36.84/37.03 (define @t535 () (not @t242)) % 36.84/37.03 (define @t536 () (not @t243)) % 36.84/37.03 (define @t537 () (or @t536 @t535 @t111)) % 36.84/37.03 (define @t538 () (forall @t34 @t537)) % 36.84/37.03 (define @t539 () (and @t538 @t533)) % 36.84/37.03 (define @t540 () (tptp.apply @t325 @t471)) % 36.84/37.03 (define @t541 () (tptp.apply @t354 @t476)) % 36.84/37.03 (define @t542 () (forall @t479 (or (not (tptp.in @t476 @t371)) (and (tptp.in @t541 @t374) (= @t476 (tptp.apply @t325 @t541)))))) % 36.84/37.03 (define @t543 () (and @t396 @t542 (forall @t475 (or (not (tptp.in @t471 @t374)) (and (tptp.in @t540 @t371) (= @t471 (tptp.apply @t354 @t540))))))) % 36.84/37.03 (define @t544 () (= @t354 @t354)) % 36.84/37.03 (define @t545 () (or @t360 @t358 @t390 @t414 @t413 (= @t543 @t544))) % 36.84/37.03 (define @t546 () (forall @t487 (or @t278 @t385 @t384 @t483 @t482 (= @t480 @t470)))) % 36.84/37.03 (define @t547 () (or @t360 @t358 @t390 @t414 @t413 @t543)) % 36.84/37.03 (define @t548 () (tptp.in @t421 @t374)) % 36.84/37.03 (define @t549 () (and @t548 @t451)) % 36.84/37.03 (define @t550 () (or @t453 @t549)) % 36.84/37.03 (define @t551 () (and @t375 @t548)) % 36.84/37.03 (define @t552 () (not @t375)) % 36.84/37.03 (define @t553 () (@list true false false)) % 36.84/37.03 (define @t554 () (not @t433)) % 36.84/37.03 (define @t555 () (tptp.in @t419 @t374)) % 36.84/37.03 (define @t556 () (and @t555 @t455)) % 36.84/37.03 (define @t557 () (or @t457 @t556)) % 36.84/37.03 (define @t558 () (not @t555)) % 36.84/37.03 (define @t559 () (and @t555 @t375 @t554)) % 36.84/37.03 (assume @p1 (forall @t6 (=> @t5 @t4))) % 36.84/37.03 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 36.84/37.03 (assume @p3 (forall @t11 (=> @t10 @t9))) % 36.84/37.03 (assume @p4 (forall @t11 (=> @t15 @t14))) % 36.84/37.03 (assume @p5 (forall @t11 (=> @t10 @t16))) % 36.84/37.03 (assume @p6 (forall @t11 (=> @t19 @t18))) % 36.84/37.03 (assume @p7 (forall @t11 (=> @t14 @t15))) % 36.84/37.03 (assume @p8 (forall @t11 (=> @t10 @t20))) % 36.84/37.03 (assume @p9 (forall @t6 (= @t21 (tptp.unordered_pair @t2 @t1)))) % 36.84/37.03 (assume @p10 (forall @t6 (= @t23 @t22))) % 36.84/37.03 (assume @p11 (forall @t6 (= @t24 (tptp.set_intersection2 @t2 @t1)))) % 36.84/37.03 (assume @p12 (forall @t6 (=> @t27 (or @t25 (tptp.ordinal_subset @t2 @t1))))) % 36.84/37.03 (assume @p13 (forall @t6 (=> @t37 (= @t36 (forall @t34 (= @t33 (and @t31 @t30))))))) % 36.84/37.03 (assume @p14 (forall @t6 (= @t40 (and @t39 @t38)))) % 36.84/37.03 (assume @p15 (forall @t11 (=> @t16 (forall @t49 (=> @t48 (= (= @t29 @t47) (forall @t46 (= @t45 (and @t44 @t43))))))))) % 36.84/37.03 (assume @p16 (forall @t11 (=> @t56 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in @t41 @t51) @t50 (= @t28 (tptp.apply @t1 @t41))))))))))) % 36.84/37.03 (assume @p17 (forall @t6 (=> @t37 (forall @t59 (=> @t48 (= (= @t29 @t58) (forall @t46 (= @t45 (and @t57 (tptp.in @t42 @t2)))))))))) % 36.84/37.03 (assume @p18 (forall @t11 (=> @t16 (= @t61 (tptp.is_antisymmetric_in @t1 @t60))))) % 36.84/37.03 (assume @p19 (forall @t11 (=> @t56 (forall @t49 (= @t64 (forall @t54 (= @t53 (and @t63 (tptp.in @t62 @t2))))))))) % 36.84/37.03 (assume @p20 (forall @t11 (=> @t16 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in (tptp.ordered_pair @t41 @t28) @t1) @t50))))))))) % 36.84/37.03 (assume @p21 (forall @t11 (=> @t16 (forall @t49 (= @t64 (forall @t54 (= @t53 (exists @t52 (and @t43 @t50))))))))) % 36.84/37.03 (assume @p22 (forall @t11 (=> @t16 (= @t65 (tptp.is_connected_in @t1 @t60))))) % 36.84/37.03 (assume @p23 (forall @t11 (=> @t16 (= @t66 (tptp.is_transitive_in @t1 @t60))))) % 36.84/37.03 (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))))))))) % 36.84/37.03 (assume @p25 (forall @t11 (= @t70 (tptp.set_union2 @t1 @t69)))) % 36.84/37.03 (assume @p26 (forall @t11 (= @t16 (forall @t71 (not (and @t3 (forall @t34 (not (= @t2 @t32))))))))) % 36.84/37.03 (assume @p27 (forall @t11 (=> @t16 (forall @t71 (= @t73 (forall @t59 (=> @t72 (tptp.in (tptp.ordered_pair @t29 @t29) @t1)))))))) % 36.84/37.03 (assume @p28 (forall @t6 (and (=> @t79 (= @t75 (forall @t59 (= @t72 (forall @t54 (=> @t78 @t77)))))) (=> @t76 (= @t75 @t74))))) % 36.84/37.03 (assume @p29 (forall @t6 (= (= @t2 @t69) (forall @t59 (= @t72 (= @t29 @t1)))))) % 36.84/37.03 (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))))))))) % 36.84/37.03 (assume @p31 (forall @t11 (= @t76 (forall @t71 @t4)))) % 36.84/37.03 (assume @p32 (forall @t6 (= (= @t2 @t81) (forall @t59 (= @t72 (tptp.subset @t29 @t1)))))) % 36.84/37.03 (assume @p33 (forall @t11 (= @t13 (forall @t71 (=> @t3 @t38))))) % 36.84/37.03 (assume @p34 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t40 (forall @t34 (= @t82 @t33)))))))) % 36.84/37.03 (assume @p35 (forall @t6 (and (=> @t85 (= @t84 @t3)) (=> @t10 (= @t84 @t83))))) % 36.84/37.03 (assume @p36 (forall @t86 (= (= @t29 @t21) (forall @t54 (= @t53 (or (= @t28 @t1) @t80)))))) % 36.84/37.03 (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))))))))))) % 36.84/37.03 (assume @p38 (forall @t86 (= (= @t29 @t23) (forall @t54 (= @t53 (or @t78 @t44)))))) % 36.84/37.03 (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))))))))) % 36.84/37.03 (assume @p40 (forall @t11 (= @t12 (forall @t49 (not (and @t3 @t31 (not @t94) @t93 @t91)))))) % 36.84/37.03 (assume @p41 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t39 (forall @t34 (=> @t82 @t33)))))))) % 36.84/37.03 (assume @p42 (forall @t6 (= @t39 @t95))) % 36.84/37.03 (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)))))))))))) % 36.84/37.03 (assume @p44 (forall @t86 (= (= @t29 @t24) (forall @t54 (= @t53 (and @t78 @t44)))))) % 36.84/37.03 (assume @p45 (forall @t11 (=> @t56 (forall @t49 (and (=> @t101 (= @t100 @t102)) (=> (not @t101) (= @t100 @t96))))))) % 36.84/37.03 (assume @p46 (forall @t11 (= @t15 @t14))) % 36.84/37.03 (assume @p47 (forall @t11 (=> @t16 (forall @t71 (= (= @t2 @t51) (forall @t59 (= @t72 (exists @t54 @t82)))))))) % 36.84/37.03 (assume @p48 (forall @t11 (=> @t16 (forall @t71 (= @t104 (forall @t34 (=> (and @t72 @t44 @t82 @t103) @t30))))))) % 36.84/37.03 (assume @p49 (forall @t11 (= @t105 @t1))) % 36.84/37.03 (assume @p50 (forall @t6 (= (= @t2 @t106) (forall @t59 (= @t72 (exists @t54 (and @t77 @t78))))))) % 36.84/37.03 (assume @p51 (forall @t11 (=> @t16 (= @t108 (and @t107 @t66 @t61 @t65 @t88))))) % 36.84/37.03 (assume @p52 (forall @t86 (= (= @t29 @t109) (forall @t54 (= @t53 (and @t78 (not @t44))))))) % 36.84/37.03 (assume @p53 (forall @t11 (=> @t56 (forall @t71 (= @t113 (forall @t59 (= @t72 (exists @t54 @t111)))))))) % 36.84/37.03 (assume @p54 (forall @t11 (=> @t16 (forall @t71 (= @t113 (forall @t59 (= @t72 (exists @t54 @t103)))))))) % 36.84/37.03 (assume @p55 (forall @t6 (=> @t115 (= @t114 @t109)))) % 36.84/37.03 (assume @p56 (forall @t6 (= @t116 (tptp.unordered_pair @t21 @t69)))) % 36.84/37.03 (assume @p57 (forall @t11 (=> @t16 (forall @t71 (= (tptp.well_orders @t1 @t2) (and @t73 @t118 @t104 @t117 @t98)))))) % 36.84/37.03 (assume @p58 (forall @t11 (= @t119 (= @t1 @t106)))) % 36.84/37.03 (assume @p59 (forall @t11 (=> @t16 (= @t60 (tptp.set_union2 @t51 @t112))))) % 36.84/37.03 (assume @p60 (forall @t11 (=> @t16 (forall @t71 (= @t117 (forall @t34 (not (and @t72 @t44 (not @t30) (not @t82) (not @t103))))))))) % 36.84/37.03 (assume @p61 (forall @t11 (=> @t16 (forall @t71 (= @t121 (tptp.set_intersection2 @t1 @t120)))))) % 36.84/37.03 (assume @p62 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= (= @t2 @t122) (forall @t34 (= @t33 @t103)))))))) % 36.84/37.03 (assume @p63 @t142) % 36.84/37.03 (assume @p64 (forall @t6 (= @t143 (= @t24 tptp.empty_set)))) % 36.84/37.03 (assume @p65 (forall @t11 (=> @t56 (= @t17 (forall @t49 (=> (and @t101 (tptp.in @t29 @t51) (= @t99 (tptp.apply @t1 @t29))) @t92)))))) % 36.84/37.03 (assume @p66 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (forall @t59 (=> @t48 (= (= @t29 @t144) (forall @t46 (= @t45 (exists (@list @t89) (and (tptp.in (tptp.ordered_pair @t28 @t89) @t1) (tptp.in (tptp.ordered_pair @t89 @t41) @t2))))))))))))) % 36.84/37.03 (assume @p67 (forall @t11 (=> @t16 (forall @t71 (= @t118 (forall (@list @t29 @t28 @t41) (=> (and @t72 @t44 @t50 @t82 @t43) (tptp.in (tptp.ordered_pair @t29 @t41) @t1)))))))) % 36.84/37.03 (assume @p68 (forall @t6 (=> @t147 (forall @t59 (=> (tptp.element @t29 @t146) (= (= @t29 @t145) (forall @t54 (=> (tptp.element @t28 @t81) (= @t53 (tptp.in (tptp.subset_complement @t1 @t28) @t2)))))))))) % 36.84/37.03 (assume @p69 (forall @t6 (= @t8 (and @t39 @t148)))) % 36.84/37.03 (assume @p70 (forall @t11 (=> @t56 (=> @t17 (= @t149 @t122))))) % 36.84/37.03 (assume @p71 (forall @t11 (=> @t16 (= @t107 (tptp.is_reflexive_in @t1 @t60))))) % 36.84/37.03 (assume @p72 true) % 36.84/37.03 (assume @p73 @t151) % 36.84/37.03 (assume @p74 (forall @t11 (tptp.element @t105 @t81))) % 36.84/37.03 (assume @p75 (forall @t6 (=> @t16 (tptp.relation @t121)))) % 36.84/37.03 (assume @p76 (forall @t6 (=> @t115 (tptp.element @t114 @t81)))) % 36.84/37.03 (assume @p77 (forall @t11 (=> @t16 @t152))) % 36.84/37.03 (assume @p78 (forall @t6 (=> @t154 @t153))) % 36.84/37.03 (assume @p79 (forall @t6 (=> @t147 (tptp.element @t155 @t81)))) % 36.84/37.03 (assume @p80 (forall @t11 @t156)) % 36.84/37.03 (assume @p81 (forall @t6 (=> @t147 (tptp.element @t157 @t81)))) % 36.84/37.03 (assume @p82 (forall @t86 (=> @t160 (tptp.element @t158 @t81)))) % 36.84/37.03 (assume @p83 (forall @t6 (=> @t16 @t161))) % 36.84/37.03 (assume @p84 (forall @t6 (=> @t147 (tptp.element @t145 @t146)))) % 36.84/37.03 (assume @p85 (forall @t6 (=> @t37 @t162))) % 36.84/37.03 (assume @p86 (forall @t11 (exists @t71 @t84))) % 36.84/37.03 (assume @p87 (forall @t6 (=> @t164 (and (tptp.empty @t163) (tptp.relation @t163))))) % 36.84/37.03 (assume @p88 (forall @t11 (=> @t10 (and (tptp.empty @t122) @t152)))) % 36.84/37.03 (assume @p89 (and @t167 @t166 @t165)) % 36.84/37.03 (assume @p90 (forall @t6 (=> @t169 (and @t161 (tptp.relation_empty_yielding @t47))))) % 36.84/37.03 (assume @p91 (forall @t6 (=> (and @t16 @t9 @t37 @t170) (and @t153 (tptp.function @t144))))) % 36.84/37.03 (assume @p92 (forall @t11 @t171)) % 36.84/37.03 (assume @p93 (forall @t6 (=> @t154 (tptp.relation @t24)))) % 36.84/37.03 (assume @p94 (forall @t11 (not (tptp.empty @t81)))) % 36.84/37.03 (assume @p95 @t167) % 36.84/37.03 (assume @p96 (forall @t6 (not (tptp.empty @t116)))) % 36.84/37.03 (assume @p97 (forall @t11 (and @t156 (tptp.function @t35)))) % 36.84/37.03 (assume @p98 (and @t166 @t165 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t167 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 36.84/37.03 (assume @p99 (forall @t6 (=> @t154 (tptp.relation @t23)))) % 36.84/37.03 (assume @p100 (forall @t11 (not (tptp.empty @t69)))) % 36.84/37.03 (assume @p101 (forall @t6 (=> @t85 (not (tptp.empty @t23))))) % 36.84/37.03 (assume @p102 (forall @t11 (=> @t18 (and @t152 (tptp.function @t122))))) % 36.84/37.03 (assume @p103 (forall @t11 (=> @t15 (and @t171 (tptp.epsilon_transitive @t70) (tptp.epsilon_connected @t70) (tptp.ordinal @t70))))) % 36.84/37.03 (assume @p104 (forall @t6 (=> @t154 (tptp.relation @t109)))) % 36.84/37.03 (assume @p105 (forall @t6 (not (tptp.empty @t21)))) % 36.84/37.03 (assume @p106 (forall @t6 (=> @t85 (not (tptp.empty @t22))))) % 36.84/37.03 (assume @p107 (forall @t6 (=> @t56 (and @t161 (tptp.function @t47))))) % 36.84/37.03 (assume @p108 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t106) (tptp.epsilon_connected @t106) (tptp.ordinal @t106))))) % 36.84/37.03 (assume @p109 (and @t167 @t166)) % 36.84/37.03 (assume @p110 (forall @t6 (=> (and @t85 @t172) (not (tptp.empty @t90))))) % 36.84/37.03 (assume @p111 (forall @t6 (=> @t173 (and @t162 (tptp.function @t58))))) % 36.84/37.03 (assume @p112 (forall @t11 (=> @t175 (not @t174)))) % 36.84/37.03 (assume @p113 (forall @t11 (=> @t175 (not @t176)))) % 36.84/37.03 (assume @p114 (forall @t11 (=> @t10 (and @t174 (tptp.relation @t51))))) % 36.84/37.03 (assume @p115 (forall @t11 (=> @t10 (and @t176 (tptp.relation @t112))))) % 36.84/37.03 (assume @p116 (forall @t6 (=> @t164 (and (tptp.empty @t144) @t153)))) % 36.84/37.03 (assume @p117 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 36.84/37.03 (assume @p118 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 36.84/37.03 (assume @p119 (forall @t6 (=> @t115 (= (tptp.subset_complement @t1 @t114) @t2)))) % 36.84/37.03 (assume @p120 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t122) @t1)))) % 36.84/37.03 (assume @p121 (forall @t6 (=> @t147 (= (tptp.complements_of_subsets @t1 @t145) @t2)))) % 36.84/37.03 (assume @p122 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 36.84/37.03 (assume @p123 (forall @t11 (=> @t16 (= @t107 (forall @t71 (=> @t177 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 36.84/37.03 (assume @p124 (forall @t11 (not (= @t69 tptp.empty_set)))) % 36.84/37.03 (assume @p125 (forall @t6 (=> @t5 (= (tptp.set_union2 @t69 @t2) @t2)))) % 36.84/37.03 (assume @p126 (forall @t6 (not (and @t178 @t5)))) % 36.84/37.03 (assume @p127 (forall @t6 (=> @t179 @t178))) % 36.84/37.03 (assume @p128 (forall @t6 (=> @t37 (tptp.subset (tptp.relation_dom @t58) @t180)))) % 36.84/37.03 (assume @p129 (forall @t11 (=> @t16 (= @t66 (forall (@list @t2 @t29 @t28) (=> (and @t102 @t82) (tptp.in (tptp.ordered_pair @t2 @t28) @t1))))))) % 36.84/37.03 (assume @p130 (forall @t6 (= (tptp.subset @t69 @t2) @t5))) % 36.84/37.03 (assume @p131 (forall @t6 (= (= @t109 tptp.empty_set) @t39))) % 36.84/37.03 (assume @p132 (forall @t6 (=> @t115 (forall @t59 (=> @t72 @t31))))) % 36.84/37.03 (assume @p133 (forall @t11 (=> @t16 (= @t61 (forall @t49 (=> (and @t102 @t181) @t92)))))) % 36.84/37.03 (assume @p134 (forall @t86 (=> @t39 (or @t31 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t29))))))) % 36.84/37.03 (assume @p135 (forall @t11 (=> @t16 (= @t65 (forall @t49 (not (and @t177 (tptp.in @t29 @t60) @t93 @t182 (not @t181)))))))) % 36.84/37.03 (assume @p136 (forall @t6 (= (tptp.subset @t1 @t183) (or @t76 (= @t1 @t183))))) % 36.84/37.03 (assume @p137 (forall @t6 (=> @t5 (tptp.subset @t1 @t184)))) % 36.84/37.03 (assume @p138 (forall @t68 (= (tptp.in @t116 (tptp.cartesian_product2 @t29 @t28)) (and @t185 (tptp.in @t2 @t28))))) % 36.84/37.03 (assume @p139 (forall @t6 (=> @t95 @t186))) % 36.84/37.03 (assume @p140 (forall @t86 (=> @t136 (= @t188 (and (tptp.in @t2 @t131) @t3))))) % 36.84/37.03 (assume @p141 (exists @t11 @t56)) % 36.84/37.03 (assume @p142 (exists @t11 @t20)) % 36.84/37.03 (assume @p143 (exists @t11 (and @t10 @t16))) % 36.84/37.03 (assume @p144 (forall @t11 (=> @t85 (exists @t71 (and @t115 @t172))))) % 36.84/37.03 (assume @p145 (exists @t11 @t10)) % 36.84/37.03 (assume @p146 (exists @t11 @t19)) % 36.84/37.03 (assume @p147 (exists @t11 (and @t16 @t9 @t17 @t10 @t13 @t12 @t15))) % 36.84/37.03 (assume @p148 (exists @t11 @t175)) % 36.84/37.03 (assume @p149 (forall @t11 (exists @t71 (and @t115 @t83)))) % 36.84/37.03 (assume @p150 (exists @t11 @t85)) % 36.84/37.03 (assume @p151 (exists @t11 @t18)) % 36.84/37.03 (assume @p152 (exists @t11 (and @t85 @t13 @t12 @t15))) % 36.84/37.03 (assume @p153 (exists @t11 @t169)) % 36.84/37.03 (assume @p154 (exists @t11 (and @t16 @t168 @t9))) % 36.84/37.03 (assume @p155 (forall @t6 (=> @t147 (= @t155 @t184)))) % 36.84/37.03 (assume @p156 (forall @t6 (=> @t147 (= @t157 (tptp.set_meet @t2))))) % 36.84/37.03 (assume @p157 (forall @t86 (=> @t160 (= @t158 @t189)))) % 36.84/37.03 (assume @p158 (forall @t6 (=> @t27 (= @t25 @t39)))) % 36.84/37.03 (assume @p159 (forall @t6 (=> @t27 (tptp.ordinal_subset @t1 @t1)))) % 36.84/37.03 (assume @p160 (forall @t6 (tptp.subset @t1 @t1))) % 36.84/37.03 (assume @p161 (forall @t6 (=> @t143 (tptp.disjoint @t2 @t1)))) % 36.84/37.03 (assume @p162 (forall @t11 (tptp.in @t1 @t70))) % 36.84/37.03 (assume @p163 (forall @t68 (not (and (= @t21 (tptp.unordered_pair @t29 @t28)) (not @t190) (not (= @t1 @t28)))))) % 36.84/37.03 (assume @p164 (forall @t86 (=> @t48 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t29))) (and @t5 (tptp.in @t1 @t129)))))) % 36.84/37.03 (assume @p165 (forall @t6 (=> @t37 (tptp.subset @t191 @t1)))) % 36.84/37.03 (assume @p166 (forall @t6 (=> @t37 (tptp.subset @t58 @t2)))) % 36.84/37.03 (assume @p167 (forall @t6 (=> @t37 (tptp.subset @t191 @t192)))) % 36.84/37.03 (assume @p168 (forall @t86 (=> @t39 (and (tptp.subset @t193 (tptp.cartesian_product2 @t2 @t29)) (tptp.subset (tptp.cartesian_product2 @t29 @t1) (tptp.cartesian_product2 @t29 @t2)))))) % 36.84/37.03 (assume @p169 (forall @t6 (=> @t37 (= @t191 (tptp.set_intersection2 @t192 @t1))))) % 36.84/37.03 (assume @p170 (forall @t68 (=> (and @t39 (tptp.subset @t29 @t28)) (tptp.subset @t193 (tptp.cartesian_product2 @t2 @t28))))) % 36.84/37.03 (assume @p171 (forall @t6 (=> @t39 (= @t23 @t2)))) % 36.84/37.03 (assume @p172 (forall @t11 (exists @t71 (and @t5 @t196 (forall @t59 (=> @t72 (tptp.in @t195 @t2))) @t194)))) % 36.84/37.03 (assume @p173 (forall @t86 (=> @t48 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t29) @t2) (tptp.relation_rng_restriction @t1 @t197))))) % 36.84/37.03 (assume @p174 (forall @t86 (=> @t48 (= (tptp.in @t1 (tptp.relation_image @t29 @t2)) (exists @t54 (and (tptp.in @t28 @t131) (tptp.in (tptp.ordered_pair @t28 @t1) @t29) @t44)))))) % 36.84/37.03 (assume @p175 (forall @t6 (=> @t37 (tptp.subset @t198 @t192)))) % 36.84/37.03 (assume @p176 (forall @t6 (=> @t173 (tptp.subset @t200 @t1)))) % 36.84/37.03 (assume @p177 (forall @t6 (=> @t37 (= @t198 (tptp.relation_image @t2 @t201))))) % 36.84/37.03 (assume @p178 (forall @t6 (=> @t37 (=> (tptp.subset @t1 @t180) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t198)))))) % 36.84/37.03 (assume @p179 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t51) @t112)))) % 36.84/37.03 (assume @p180 (forall @t6 (=> @t173 (=> @t202 (= @t200 @t1))))) % 36.84/37.03 (assume @p181 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t203 (tptp.relation_image @t2 @t112))))))) % 36.84/37.03 (assume @p182 (forall @t86 (=> @t48 (= (tptp.in @t1 @t204) (exists @t54 (and (tptp.in @t28 @t129) (tptp.in (tptp.ordered_pair @t1 @t28) @t29) @t44)))))) % 36.84/37.03 (assume @p183 (forall @t6 (=> @t37 (tptp.subset @t199 @t180)))) % 36.84/37.03 (assume @p184 (forall @t86 (=> @t48 (= (tptp.in @t1 @t205) (and @t185 (tptp.in @t1 @t120)))))) % 36.84/37.03 (assume @p185 (forall @t6 (=> @t37 (not (and @t79 @t202 (= @t199 tptp.empty_set)))))) % 36.84/37.03 (assume @p186 (forall @t86 (=> @t48 (=> @t39 (tptp.subset (tptp.relation_inverse_image @t29 @t1) @t204))))) % 36.84/37.03 (assume @p187 (forall @t6 (=> @t37 (= @t206 (tptp.relation_dom_restriction @t58 @t1))))) % 36.84/37.03 (assume @p188 (forall @t6 (tptp.subset @t24 @t1))) % 36.84/37.03 (assume @p189 (forall @t6 (=> @t37 (= @t206 (tptp.relation_rng_restriction @t1 @t207))))) % 36.84/37.03 (assume @p190 (forall @t86 (=> @t48 (=> (tptp.in @t1 (tptp.relation_field @t205)) (and @t209 @t5))))) % 36.84/37.03 (assume @p191 (forall @t86 (=> (and @t39 @t211) (tptp.subset @t1 @t210)))) % 36.84/37.03 (assume @p192 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 36.84/37.03 (assume @p193 (forall @t6 (=> @t5 @t212))) % 36.84/37.03 (assume @p194 (forall @t86 (=> (and @t39 (tptp.subset @t2 @t29)) @t211))) % 36.84/37.03 (assume @p195 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 36.84/37.03 (assume @p196 (forall @t86 (=> @t48 (=> @t214 (and @t213 (tptp.in @t2 @t129)))))) % 36.84/37.03 (assume @p197 (forall @t6 (=> @t37 (and (tptp.subset @t215 @t128) (tptp.subset @t215 @t1))))) % 36.84/37.03 (assume @p198 (forall @t6 (=> @t173 (forall @t59 (=> @t136 (= @t218 (and @t213 (tptp.in @t216 @t180)))))))) % 36.84/37.03 (assume @p199 (forall @t11 (=> @t13 (forall @t71 (=> @t26 (=> @t8 @t5)))))) % 36.84/37.03 (assume @p200 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t51 @t112))))) % 36.84/37.03 (assume @p201 (forall @t86 (=> @t48 (tptp.subset (tptp.fiber (tptp.relation_restriction @t29 @t1) @t2) (tptp.fiber @t29 @t2))))) % 36.84/37.03 (assume @p202 (forall @t6 (=> @t173 (forall @t59 (=> @t136 (=> @t218 (= (tptp.apply @t217 @t1) (tptp.apply @t2 @t216)))))))) % 36.84/37.03 (assume @p203 (forall @t6 (=> @t37 (=> (tptp.reflexive @t2) (tptp.reflexive @t206))))) % 36.84/37.03 (assume @p204 (forall @t6 (=> @t173 (forall @t59 (=> @t136 (=> (tptp.in @t1 @t180) (= (tptp.apply (tptp.relation_composition @t2 @t29) @t1) (tptp.apply @t29 (tptp.apply @t2 @t1))))))))) % 36.84/37.03 (assume @p205 (forall @t6 (=> @t26 (=> @t5 @t15)))) % 36.84/37.03 (assume @p206 (forall @t6 (=> @t37 (=> (tptp.connected @t2) (tptp.connected @t206))))) % 36.84/37.03 (assume @p207 (forall @t11 (=> @t15 (forall @t71 (=> @t26 (not (and @t179 @t148 @t4))))))) % 36.84/37.03 (assume @p208 (forall @t6 (=> @t37 (=> (tptp.transitive @t2) (tptp.transitive @t206))))) % 36.84/37.03 (assume @p209 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> @t39 (and (tptp.subset @t51 @t180) (tptp.subset @t112 @t192)))))))) % 36.84/37.03 (assume @p210 (forall @t6 (=> @t37 (=> (tptp.antisymmetric @t2) (tptp.antisymmetric @t206))))) % 36.84/37.03 (assume @p211 (forall @t86 (=> @t39 (tptp.subset (tptp.set_intersection2 @t1 @t29) @t210)))) % 36.84/37.03 (assume @p212 (forall @t6 (=> @t39 (= @t24 @t1)))) % 36.84/37.03 (assume @p213 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 36.84/37.03 (assume @p214 (forall @t6 (=> @t212 (or @t83 @t5)))) % 36.84/37.03 (assume @p215 (forall @t6 (=> (forall @t59 (= @t31 @t72)) @t40))) % 36.84/37.03 (assume @p216 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 36.84/37.03 (assume @p217 @t221) % 36.84/37.03 (assume @p218 (forall @t11 (=> (forall @t71 (=> @t3 (and @t26 @t38))) @t15))) % 36.84/37.03 (assume @p219 (forall @t6 (=> @t37 (=> (tptp.well_founded_relation @t2) (tptp.well_founded_relation @t206))))) % 36.84/37.03 (assume @p220 (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))))))))))))) % 36.84/37.03 (assume @p221 (forall @t6 (=> @t37 (=> @t222 (tptp.well_ordering @t206))))) % 36.84/37.03 (assume @p222 (forall @t11 (=> @t15 (forall @t71 (=> @t26 (= @t5 (tptp.ordinal_subset @t70 @t2))))))) % 36.84/37.03 (assume @p223 (forall @t86 (=> @t39 (tptp.subset (tptp.set_difference @t1 @t29) @t189)))) % 36.84/37.03 (assume @p224 (forall @t68 (=> (= @t116 @t32) (and @t190 (= @t2 @t28))))) % 36.84/37.03 (assume @p225 (forall @t6 (=> @t173 (= @t36 (and (= @t180 @t1) (forall @t59 (=> @t31 (= @t223 @t29)))))))) % 36.84/37.03 (assume @p226 (forall @t6 (=> @t3 (= (tptp.apply @t35 @t2) @t2)))) % 36.84/37.03 (assume @p227 (forall @t6 (tptp.subset @t109 @t1))) % 36.84/37.03 (assume @p228 (forall @t11 (=> @t16 (and (= @t112 (tptp.relation_dom @t122)) (= @t51 (tptp.relation_rng @t122)))))) % 36.84/37.03 (assume @p229 (forall @t86 (= (tptp.subset @t21 @t29) (and @t185 @t94)))) % 36.84/37.03 (assume @p230 (forall @t6 (=> @t37 (=> (and @t222 (tptp.subset @t1 @t128)) (= @t215 @t1))))) % 36.84/37.03 (assume @p231 (forall @t6 (= @t224 @t23))) % 36.84/37.03 (assume @p232 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 36.84/37.03 (assume @p233 (forall @t86 (not (and @t5 @t94 @t31)))) % 36.84/37.03 (assume @p234 (forall @t6 (= @t186 @t39))) % 36.84/37.03 (assume @p235 (forall @t6 (and (not (and @t226 (forall @t59 (not @t225)))) (not (and (exists @t59 @t225) @t143))))) % 36.84/37.03 (assume @p236 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t76))) % 36.84/37.03 (assume @p237 (forall @t6 (= (tptp.set_difference @t23 @t2) @t109))) % 36.84/37.03 (assume @p238 (forall @t11 (=> @t15 (= @t119 (forall @t71 (=> @t26 (=> @t3 (tptp.in @t227 @t1)))))))) % 36.84/37.03 (assume @p239 (forall @t11 (=> @t15 (and (not (and (not @t119) (forall @t71 (=> @t26 (not @t228))))) (not (and (exists @t71 (and @t26 @t228)) @t119)))))) % 36.84/37.03 (assume @p240 (forall @t6 (=> @t115 (forall @t59 (=> @t159 (= @t230 (tptp.subset @t2 @t229))))))) % 36.84/37.03 (assume @p241 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (tptp.subset @t231 @t51)))))) % 36.84/37.03 (assume @p242 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (tptp.subset @t203 @t192)))))) % 36.84/37.03 (assume @p243 (forall @t6 (=> @t39 (= @t2 @t224)))) % 36.84/37.03 (assume @p244 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> (tptp.subset @t112 @t180) (= @t231 @t51))))))) % 36.84/37.03 (assume @p245 (forall @t6 (=> @t147 (not (and @t87 (= @t145 tptp.empty_set)))))) % 36.84/37.03 (assume @p246 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> (tptp.subset @t51 @t192) (= (tptp.relation_rng @t163) @t112))))))) % 36.84/37.03 (assume @p247 (forall @t6 (=> @t147 (=> @t87 (= (tptp.subset_difference @t1 @t105 @t155) (tptp.meet_of_subsets @t1 @t145)))))) % 36.84/37.03 (assume @p248 (forall @t6 (=> @t147 (=> @t87 (= (tptp.union_of_subsets @t1 @t145) (tptp.subset_difference @t1 @t105 @t157)))))) % 36.84/37.03 (assume @p249 (forall @t6 (= (tptp.set_difference @t1 @t109) @t24))) % 36.84/37.03 (assume @p250 @t239) % 36.84/37.03 (assume @p251 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 36.84/37.03 (assume @p252 (forall @t86 (=> (and @t5 @t240) (tptp.element @t1 @t29)))) % 36.84/37.03 (assume @p253 (forall @t6 (and (not (and @t226 (forall @t59 (not @t241)))) (not (and (exists @t59 @t241) @t143))))) % 36.84/37.03 (assume @p254 (forall @t11 (=> @t79 (forall @t71 (=> @t115 (forall @t59 (=> (tptp.element @t29 @t1) (=> @t91 (tptp.in @t29 @t114))))))))) % 36.84/37.03 (assume @p255 @t254) % 36.84/37.03 (assume @p256 (forall @t86 (=> @t159 (not (and (tptp.in @t2 @t229) @t94))))) % 36.84/37.03 (assume @p257 @t257) % 36.84/37.03 (assume @p258 (forall @t11 (=> @t16 (=> (forall @t49 @t182) @t76)))) % 36.84/37.03 (assume @p259 @t264) % 36.84/37.03 (assume @p260 (forall @t86 (not (and @t5 @t240 (tptp.empty @t29))))) % 36.84/37.03 (assume @p261 (forall @t11 (=> @t16 (= @t88 (tptp.is_well_founded_in @t1 @t60))))) % 36.84/37.03 (assume @p262 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 36.84/37.03 (assume @p263 (forall @t6 (not (and @t39 @t7)))) % 36.84/37.03 (assume @p264 @t267) % 36.84/37.03 (assume @p265 (forall @t86 (=> (and @t39 @t230) (tptp.disjoint @t1 @t29)))) % 36.84/37.03 (assume @p266 (forall @t11 (=> @t16 (=> (or @t269 @t268) @t76)))) % 36.84/37.03 (assume @p267 (forall @t11 (=> @t16 (= @t269 @t268)))) % 36.84/37.03 (assume @p268 (forall @t6 (= (= (tptp.set_difference @t1 @t183) @t1) @t4))) % 36.84/37.03 (assume @p269 (forall @t6 (=> @t173 (forall @t59 (=> @t136 (= (= @t2 @t187) (and (= @t180 (tptp.set_intersection2 @t131 @t1)) (forall @t54 (=> (tptp.in @t28 @t180) (= (tptp.apply @t2 @t28) @t123)))))))))) % 36.84/37.03 (assume @p270 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t69))) % 36.84/37.03 (assume @p271 (forall @t11 (=> @t10 @t76))) % 36.84/37.03 (assume @p272 (forall @t6 (=> (tptp.subset @t69 @t183) @t40))) % 36.84/37.03 (assume @p273 (forall @t86 (=> @t136 (=> @t188 @t270)))) % 36.84/37.03 (assume @p274 (forall @t11 (and (= (tptp.relation_dom @t35) @t1) (= (tptp.relation_rng @t35) @t1)))) % 36.84/37.03 (assume @p275 (forall @t86 (=> @t136 (=> @t3 @t270)))) % 36.84/37.03 (assume @p276 (forall @t68 (=> (tptp.relation @t28) (= (tptp.in @t116 (tptp.relation_composition (tptp.identity_relation @t29) @t28)) (and @t185 (tptp.in @t116 @t28)))))) % 36.84/37.03 (assume @p277 (forall @t6 (not (and @t5 @t83)))) % 36.84/37.03 (assume @p278 (forall @t6 (not (and @t5 (forall @t59 (not (and @t72 (forall @t54 (not (and @t44 @t53)))))))))) % 36.84/37.03 (assume @p279 (forall @t6 (tptp.subset @t1 @t23))) % 36.84/37.03 (assume @p280 (forall @t6 (= @t143 (= @t109 @t1)))) % 36.84/37.03 (assume @p281 (forall @t86 (=> @t48 (= (tptp.in @t1 (tptp.relation_dom @t197)) (and @t5 @t213))))) % 36.84/37.03 (assume @p282 (forall @t6 (=> @t37 (tptp.subset @t207 @t2)))) % 36.84/37.03 (assume @p283 (forall @t6 (not (and @t10 @t148 @t83)))) % 36.84/37.03 (assume @p284 (forall @t86 (=> @t136 (= @t214 (and @t213 (= @t2 @t216)))))) % 36.84/37.03 (assume @p285 (forall @t11 (=> @t16 (= (tptp.well_orders @t1 @t60) @t108)))) % 36.84/37.03 (assume @p286 (forall @t86 (=> (and @t39 @t97) (tptp.subset (tptp.set_union2 @t1 @t29) @t2)))) % 36.84/37.03 (assume @p287 (forall @t86 (=> @t271 @t40))) % 36.84/37.03 (assume @p288 (forall @t6 (=> @t37 (= (tptp.relation_dom @t207) @t201)))) % 36.84/37.03 (assume @p289 (forall @t6 (=> @t37 (= @t207 (tptp.relation_composition @t35 @t2))))) % 36.84/37.03 (assume @p290 (forall @t6 (=> @t37 (tptp.subset (tptp.relation_rng @t207) @t192)))) % 36.84/37.03 (assume @p291 (forall @t11 (= (tptp.union @t81) @t1))) % 36.84/37.03 (assume @p292 (forall @t11 (exists @t71 (and @t5 @t196 (forall @t59 (not (and @t72 (forall @t54 (not (and @t44 (forall @t52 (=> (tptp.subset @t41 @t29) @t67)))))))) @t194)))) % 36.84/37.03 (assume @p293 (forall @t86 (=> @t271 @t92))) % 36.84/37.03 (step @p294 :rule aci_norm :args ((= @t280 (or @t278 @t277 @t276 @t275 @t274)))) % 36.84/37.03 (step @p295 :rule cong :premises (@p294) :args (@t281)) % 36.84/37.03 (step @p296 :rule quant-merge-prenex :args ((= (forall @t11 @t283) @t281))) % 36.84/37.03 (step @p297 :rule alpha_equiv :args (@t284 (@list @t272 @t273) (@list @t2 @t285))) % 36.84/37.03 (step @p298 :rule refl :args (@t278)) % 36.84/37.03 (step @p299 :rule nary_cong :premises (@p298 @p297) :args (@t286)) % 36.84/37.03 (step @p300 :rule quant-miniscope-or :args ((= @t283 @t286))) % 36.84/37.03 (step @p301 :rule trans :premises (@p300 @p299)) % 36.84/37.03 (step @p302 :rule symm :premises (@p301)) % 36.84/37.03 (step @p303 :rule cong :premises (@p302) :args ((forall @t11 (or @t278 @t296)))) % 36.84/37.03 (step @p304 :rule trans :premises (@p303 @p296)) % 36.84/37.03 (step @p305 :rule trans :premises (@p304 @p295)) % 36.84/37.03 (step @p306 :rule bool-impl-elim :args (@t16 @t296)) % 36.84/37.03 (step @p307 :rule cong :premises (@p306) :args ((forall @t11 (=> @t16 @t296)))) % 36.84/37.03 (step @p308 :rule trans :premises (@p307 @p305)) % 36.84/37.03 (step @p309 :rule refl :args (@t287)) % 36.84/37.03 (step @p310 :rule refl :args (@t288)) % 36.84/37.03 (step @p311 :rule eq-symm :args (@t289 @t128)) % 36.84/37.03 (step @p312 :rule refl :args (@t290)) % 36.84/37.03 (step @p313 :rule nary_cong :premises (@p312 @p311 @p310 @p309) :args (@t297)) % 36.84/37.03 (step @p314 :rule refl :args (@t291)) % 36.84/37.03 (step @p315 :rule cong :premises (@p314 @p313) :args (@t298)) % 36.84/37.03 (step @p316 :rule refl :args (@t292)) % 36.84/37.03 (step @p317 :rule refl :args (@t293)) % 36.84/37.03 (step @p318 :rule refl :args (@t294)) % 36.84/37.03 (step @p319 :rule nary_cong :premises (@p318 @p317 @p316 @p315) :args (@t299)) % 36.84/37.03 (step @p320 :rule aci_norm :args ((= @t301 @t299))) % 36.84/37.03 (step @p321 :rule trans :premises (@p320 @p319)) % 36.84/37.03 (step @p322 :rule cong :premises (@p321) :args (@t302)) % 36.84/37.03 (step @p323 :rule quant-merge-prenex :args ((= (forall @t71 @t304) @t302))) % 36.84/37.03 (step @p324 :rule alpha_equiv :args (@t305 (@list @t285) @t306)) % 36.84/37.03 (step @p325 :rule refl :args (@t294)) % 36.84/37.03 (step @p326 :rule nary_cong :premises (@p325 @p324) :args (@t307)) % 36.84/37.03 (step @p327 :rule quant-miniscope-or :args ((= @t304 @t307))) % 36.84/37.03 (step @p328 :rule trans :premises (@p327 @p326)) % 36.84/37.03 (step @p329 :rule symm :premises (@p328)) % 36.84/37.03 (step @p330 :rule cong :premises (@p329) :args ((forall @t71 (or @t294 @t312)))) % 36.84/37.03 (step @p331 :rule trans :premises (@p330 @p323)) % 36.84/37.03 (step @p332 :rule trans :premises (@p331 @p322)) % 36.84/37.03 (step @p333 :rule bool-impl-elim :args (@t37 @t312)) % 36.84/37.03 (step @p334 :rule cong :premises (@p333) :args ((forall @t71 (=> @t37 @t312)))) % 36.84/37.03 (step @p335 :rule trans :premises (@p334 @p332)) % 36.84/37.03 (step @p336 :rule aci_norm :args ((= (or @t313 @t308) @t311))) % 36.84/37.03 (step @p337 :rule refl :args (@t308)) % 36.84/37.03 (step @p338 :rule bool-and-de-morgan :args (@t48 @t135 true)) % 36.84/37.03 (step @p339 :rule nary_cong :premises (@p338 @p337) :args ((or @t314 @t308))) % 36.84/37.03 (step @p340 :rule trans :premises (@p339 @p336)) % 36.84/37.03 (step @p341 :rule bool-impl-elim :args (@t136 @t308)) % 36.84/37.03 (step @p342 :rule trans :premises (@p341 @p340)) % 36.84/37.03 (step @p343 :rule cong :premises (@p342) :args ((forall @t59 (=> @t136 @t308)))) % 36.84/37.03 (step @p344 :rule refl :args (@t126)) % 36.84/37.03 (step @p345 :rule refl :args (@t127)) % 36.84/37.03 (step @p346 :rule refl :args (@t130)) % 36.84/37.03 (step @p347 :rule eq-symm :args (@t131 @t60)) % 36.84/37.03 (step @p348 :rule nary_cong :premises (@p347 @p346 @p345 @p344) :args (@t132)) % 36.84/37.03 (step @p349 :rule refl :args (@t133)) % 36.84/37.03 (step @p350 :rule cong :premises (@p349 @p348) :args (@t134)) % 36.84/37.03 (step @p351 :rule refl :args (@t136)) % 36.84/37.03 (step @p352 :rule cong :premises (@p351 @p350) :args (@t137)) % 36.84/37.03 (step @p353 :rule cong :premises (@p352) :args (@t138)) % 36.84/37.03 (step @p354 :rule trans :premises (@p353 @p343)) % 36.84/37.03 (step @p355 :rule refl :args (@t37)) % 36.84/37.03 (step @p356 :rule cong :premises (@p355 @p354) :args (@t139)) % 36.84/37.03 (step @p357 :rule cong :premises (@p356) :args (@t140)) % 36.84/37.03 (step @p358 :rule trans :premises (@p357 @p335)) % 36.84/37.03 (step @p359 :rule refl :args (@t16)) % 36.84/37.03 (step @p360 :rule cong :premises (@p359 @p358) :args (@t141)) % 36.84/37.03 (step @p361 :rule cong :premises (@p360) :args (@t142)) % 36.84/37.03 (step @p362 :rule trans :premises (@p361 @p308)) % 36.84/37.03 (step @p363 :rule eq_resolve :premises (@p63 @p362)) % 36.84/37.03 (step @p364 :rule instantiate :premises (@p363) :args ((@list @t327 @t326 @t325))) % 36.84/37.03 (step @p365 :rule aci_norm :args ((= @t329 @t322))) % 36.84/37.03 (step @p366 :rule cong :premises (@p365) :args (@t330)) % 36.84/37.03 (step @p367 :rule quant-merge-prenex :args ((= (forall @t11 @t332) @t330))) % 36.84/37.03 (step @p368 :rule alpha_equiv :args (@t333 (@list @t316 @t315) (@list @t2 @t334))) % 36.84/37.03 (step @p369 :rule nary_cong :premises (@p298 @p368) :args (@t335)) % 36.84/37.03 (step @p370 :rule quant-miniscope-or :args ((= @t332 @t335))) % 36.84/37.03 (step @p371 :rule trans :premises (@p370 @p369)) % 36.84/37.03 (step @p372 :rule symm :premises (@p371)) % 36.84/37.03 (step @p373 :rule cong :premises (@p372) :args ((forall @t11 (or @t278 @t342)))) % 36.84/37.03 (step @p374 :rule trans :premises (@p373 @p367)) % 36.84/37.03 (step @p375 :rule trans :premises (@p374 @p366)) % 36.84/37.03 (step @p376 :rule bool-impl-elim :args (@t16 @t342)) % 36.84/37.03 (step @p377 :rule cong :premises (@p376) :args ((forall @t11 (=> @t16 @t342)))) % 36.84/37.03 (step @p378 :rule trans :premises (@p377 @p375)) % 36.84/37.03 (step @p379 :rule aci_norm :args ((= @t344 @t340))) % 36.84/37.03 (step @p380 :rule cong :premises (@p379) :args (@t345)) % 36.84/37.03 (step @p381 :rule quant-merge-prenex :args ((= (forall @t71 @t347) @t345))) % 36.84/37.03 (step @p382 :rule alpha_equiv :args (@t348 (@list @t334) @t306)) % 36.84/37.03 (step @p383 :rule nary_cong :premises (@p325 @p382) :args (@t349)) % 36.84/37.03 (step @p384 :rule quant-miniscope-or :args ((= @t347 @t349))) % 36.84/37.03 (step @p385 :rule trans :premises (@p384 @p383)) % 36.84/37.03 (step @p386 :rule symm :premises (@p385)) % 36.84/37.03 (step @p387 :rule cong :premises (@p386) :args ((forall @t71 (or @t294 @t352)))) % 36.84/37.03 (step @p388 :rule trans :premises (@p387 @p381)) % 36.84/37.03 (step @p389 :rule trans :premises (@p388 @p380)) % 36.84/37.03 (step @p390 :rule bool-impl-elim :args (@t37 @t352)) % 36.84/37.03 (step @p391 :rule cong :premises (@p390) :args ((forall @t71 (=> @t37 @t352)))) % 36.84/37.03 (step @p392 :rule trans :premises (@p391 @p389)) % 36.84/37.03 (step @p393 :rule aci_norm :args ((= (or @t313 (or @t350 @t232)) @t351))) % 36.84/37.03 (step @p394 :rule bool-impl-elim :args (@t133 @t232)) % 36.84/37.03 (step @p395 :rule nary_cong :premises (@p338 @p394) :args ((or @t314 @t233))) % 36.84/37.03 (step @p396 :rule trans :premises (@p395 @p393)) % 36.84/37.03 (step @p397 :rule bool-impl-elim :args (@t136 @t233)) % 36.84/37.03 (step @p398 :rule trans :premises (@p397 @p396)) % 36.84/37.03 (step @p399 :rule cong :premises (@p398) :args (@t234)) % 36.84/37.03 (step @p400 :rule cong :premises (@p355 @p399) :args (@t235)) % 36.84/37.03 (step @p401 :rule cong :premises (@p400) :args (@t236)) % 36.84/37.03 (step @p402 :rule trans :premises (@p401 @p392)) % 36.84/37.03 (step @p403 :rule cong :premises (@p359 @p402) :args (@t237)) % 36.84/37.03 (step @p404 :rule cong :premises (@p403) :args (@t238)) % 36.84/37.03 (step @p405 :rule trans :premises (@p404 @p378)) % 36.84/37.03 (step @p406 :rule cong :premises (@p405) :args (@t239)) % 36.84/37.03 (step @p407 :rule eq_resolve :premises (@p250 @p406)) % 36.84/37.03 (step @p408 :rule skolemize :premises (@p407)) % 36.84/37.03 (step @p409 :rule bool-double-not-elim :args (@t353)) % 36.84/37.03 (step @p410 :rule refl :args (@t365)) % 36.84/37.03 (step @p411 :rule nary_cong :premises (@p410 @p409) :args ((or @t365 (not @t358)))) % 36.84/37.03 (step @p412 :rule cnf_or_neg :args (@t365 3)) % 36.84/37.03 (step @p413 :rule eq_resolve :premises (@p412 @p411)) % 36.84/37.03 (step @p414 :rule reordering :premises (@p413) :args ((or @t353 @t365))) % 36.84/37.03 (step @p415 :rule chain_m_resolution :premises (@p414 @p408) :args (@t353 @t366 @t367)) % 36.84/37.03 (step @p416 :rule bool-double-not-elim :args (@t359)) % 36.84/37.03 (step @p417 :rule nary_cong :premises (@p410 @p416) :args ((or @t365 (not @t360)))) % 36.84/37.03 (step @p418 :rule cnf_or_neg :args (@t365 2)) % 36.84/37.03 (step @p419 :rule eq_resolve :premises (@p418 @p417)) % 36.84/37.03 (step @p420 :rule reordering :premises (@p419) :args ((or @t359 @t365))) % 36.84/37.03 (step @p421 :rule chain_m_resolution :premises (@p420 @p408) :args (@t359 @t366 @t367)) % 36.84/37.03 (step @p422 :rule bool-double-not-elim :args (@t361)) % 36.84/37.03 (step @p423 :rule nary_cong :premises (@p410 @p422) :args ((or @t365 (not @t362)))) % 36.84/37.03 (step @p424 :rule cnf_or_neg :args (@t365 1)) % 36.84/37.03 (step @p425 :rule eq_resolve :premises (@p424 @p423)) % 36.84/37.03 (step @p426 :rule reordering :premises (@p425) :args ((or @t361 @t365))) % 36.84/37.03 (step @p427 :rule chain_m_resolution :premises (@p426 @p408) :args (@t361 @t366 @t367)) % 36.84/37.03 (step @p428 :rule bool-double-not-elim :args (@t363)) % 36.84/37.03 (step @p429 :rule nary_cong :premises (@p410 @p428) :args ((or @t365 (not @t364)))) % 36.84/37.03 (step @p430 :rule cnf_or_neg :args (@t365 0)) % 36.84/37.03 (step @p431 :rule eq_resolve :premises (@p430 @p429)) % 36.84/37.03 (step @p432 :rule reordering :premises (@p431) :args ((or @t363 @t365))) % 36.84/37.03 (step @p433 :rule chain_m_resolution :premises (@p432 @p408) :args (@t363 @t366 @t367)) % 36.84/37.03 (step @p434 :rule cnf_or_pos :args (@t378)) % 36.84/37.03 (step @p435 :rule reordering :premises (@p434) :args ((or @t364 @t362 @t360 @t358 @t377 (not @t378)))) % 36.84/37.03 (step @p436 :rule chain_m_resolution :premises (@p435 @p433 @p427 @p421 @p415 @p364) :args (@t377 @t379 (@list @t363 @t361 @t359 @t353 @t378))) % 36.84/37.03 (step @p437 :rule bool-double-not-elim :args (@t356)) % 36.84/37.03 (step @p438 :rule nary_cong :premises (@p410 @p437) :args ((or @t365 (not @t357)))) % 36.84/37.03 (step @p439 :rule cnf_or_neg :args (@t365 4)) % 36.84/37.03 (step @p440 :rule eq_resolve :premises (@p439 @p438)) % 36.84/37.03 (step @p441 :rule reordering :premises (@p440) :args ((or @t356 @t365))) % 36.84/37.03 (step @p442 :rule chain_m_resolution :premises (@p441 @p408) :args (@t356 @t366 @t367)) % 36.84/37.03 (step @p443 :rule cnf_equiv_pos1 :args (@t377)) % 36.84/37.03 (step @p444 :rule reordering :premises (@p443) :args ((or @t357 @t376 (not @t377)))) % 36.84/37.03 (step @p445 :rule chain_m_resolution :premises (@p444 @p442 @p436) :args (@t376 @t380 (@list @t356 @t377))) % 36.84/37.03 (step 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:args (@t428 @t417 (@list @t427 @t426))) % 36.84/37.04 (step @p861 :rule cnf_and_neg :args (@t425)) % 36.84/37.04 (step @p862 :rule chain_m_resolution :premises (@p861 @p860 @p643 @p649) :args (@t438 @t553 (@list @t425 @t424 @t423))) % 36.84/37.04 (step @p863 :rule cnf_equiv_pos2 :args (@t436)) % 36.84/37.04 (step @p864 :rule reordering :premises (@p863) :args ((or @t422 @t439 @t437))) % 36.84/37.04 (step @p865 :rule chain_m_resolution :premises (@p864 @p862 @p529) :args (@t439 @t417 (@list @t422 @t436))) % 36.84/37.04 (step @p866 :rule cnf_and_neg :args (@t435)) % 36.84/37.04 (step @p867 :rule chain_m_resolution :premises (@p866 @p865 @p858 @p680) :args (@t554 @t553 (@list @t435 @t434 @t432))) % 36.84/37.04 (step @p868 :rule instantiate :premises (@p829) :args ((@list @t418))) % 36.84/37.04 (step @p869 :rule cnf_or_pos :args (@t557)) % 36.84/37.04 (step @p870 :rule reordering :premises (@p869) :args ((or @t457 @t556 (not @t557)))) % 36.84/37.04 (step @p871 :rule chain_m_resolution :premises (@p870 @p650 @p868) :args (@t556 @t380 (@list @t442 @t557))) % 36.84/37.04 (step @p872 :rule cnf_and_pos :args (@t556 0)) % 36.84/37.04 (step @p873 :rule reordering :premises (@p872) :args ((or @t555 (not @t556)))) % 36.84/37.04 (step @p874 :rule chain_m_resolution :premises (@p873 @p871) :args (@t555 @t382 (@list @t556))) % 36.84/37.04 (step @p875 :rule refl :args (@t558)) % 36.84/37.04 (step @p876 :rule bool-double-not-elim :args (@t433)) % 36.84/37.04 (step @p877 :rule refl :args (@t552)) % 36.84/37.04 (step @p878 :rule nary_cong :premises (@p877 @p876 @p875) :args ((or @t552 (not @t554) @t558))) % 36.84/37.04 (assume-push @p953 @t555) % 36.84/37.04 (assume-push @p954 @t375) % 36.84/37.04 (assume-push @p955 @t554) % 36.84/37.04 (step @p882 :rule evaluate :args ((= false true))) % 36.84/37.04 (step @p883 :rule true_intro :premises (@p953)) % 36.84/37.04 (step @p884 :rule refl :args (@t419)) % 36.84/37.04 (step @p885 :rule cong :premises (@p884 @p448) :args (@t433)) % 36.84/37.04 (step @p886 :rule false_intro :premises (@p955)) % 36.84/37.04 (step @p887 :rule symm :premises (@p886)) % 36.84/37.04 (step @p888 :rule trans :premises (@p887 @p885 @p883)) % 36.84/37.04 (step @p889 false :rule eq_resolve :premises (@p888 @p882)) % 36.84/37.04 (step-pop @p956 :rule scope :premises (@p889)) % 36.84/37.04 (step-pop @p957 :rule scope :premises (@p956)) % 36.84/37.04 (step-pop @p958 :rule scope :premises (@p957)) % 36.84/37.04 (step @p890 :rule process_scope :premises (@p958) :args (false)) % 36.84/37.04 (assume-push @p959 @t375) % 36.84/37.04 (assume-push @p960 @t554) % 36.84/37.04 (assume-push @p961 @t555) % 36.84/37.04 (step @p897 :rule and_intro :premises (@p961 @p448 @p960)) % 36.84/37.04 (step-pop @p962 :rule scope :premises (@p897)) % 36.84/37.04 (step-pop @p963 :rule scope :premises (@p962)) % 36.84/37.04 (step-pop @p964 :rule scope :premises (@p963)) % 36.84/37.04 (step @p898 :rule process_scope :premises (@p964) :args (@t559)) % 36.84/37.04 (step @p902 :rule implies_elim :premises (@p898)) % 36.84/37.04 (step @p903 :rule resolution :premises (@p902 @p890) :args (true @t559)) % 36.84/37.04 (step @p904 :rule not_and :premises (@p903)) % 36.84/37.04 (step @p905 :rule eq_resolve :premises (@p904 @p878)) % 36.84/37.04 (step @p906 false :rule chain_m_resolution :premises (@p905 @p874 @p867 @p448) :args (false (@list false true false) (@list @t555 @t433 @t375))) % 36.84/37.04 ) % 36.84/37.04 % SZS output end Proof % 36.84/37.04 % cvc5 exiting %------------------------------------------------------------------------------