%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU263+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 : n019.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 35.23s 35.42s % Output : Proof 35.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU263+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n019.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:49:04 EDT 2026 % 0.18/0.35 % CPUTime : % 0.40/0.56 %----Proving TF0_NAR, FOF, or CNF % 35.23/35.42 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.23/35.42 --- Run --no-e-matching --full-saturate-quant at 6... % 35.23/35.42 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.23/35.42 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.23/35.42 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.23/35.42 % SZS status Theorem % 35.23/35.42 % SZS output start Proof % 35.23/35.42 ( % 35.23/35.42 (declare-sort $$unsorted 0) % 35.23/35.42 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.empty (-> $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.function (-> $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.relation (-> $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.transitive (-> $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.empty_set $$unsorted) % 35.23/35.42 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.connected (-> $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 35.23/35.42 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 35.23/35.42 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 35.23/35.42 (define @t1 () (@var "A" $$unsorted)) % 35.23/35.42 (define @t2 () (@var "B" $$unsorted)) % 35.23/35.42 (define @t3 () (tptp.in @t2 @t1)) % 35.23/35.42 (define @t4 () (not @t3)) % 35.23/35.42 (define @t5 () (tptp.in @t1 @t2)) % 35.23/35.42 (define @t6 () (@list @t1 @t2)) % 35.23/35.42 (define @t7 () (tptp.proper_subset @t2 @t1)) % 35.23/35.42 (define @t8 () (tptp.proper_subset @t1 @t2)) % 35.23/35.42 (define @t9 () (tptp.function @t1)) % 35.23/35.42 (define @t10 () (tptp.empty @t1)) % 35.23/35.42 (define @t11 () (@list @t1)) % 35.23/35.42 (define @t12 () (tptp.epsilon_connected @t1)) % 35.23/35.43 (define @t13 () (tptp.epsilon_transitive @t1)) % 35.23/35.43 (define @t14 () (and @t13 @t12)) % 35.23/35.43 (define @t15 () (tptp.ordinal @t1)) % 35.23/35.43 (define @t16 () (tptp.relation @t1)) % 35.23/35.43 (define @t17 () (@var "C" $$unsorted)) % 35.23/35.43 (define @t18 () (tptp.relation @t17)) % 35.23/35.43 (define @t19 () (tptp.cartesian_product2 @t1 @t2)) % 35.23/35.43 (define @t20 () (tptp.element @t17 (tptp.powerset @t19))) % 35.23/35.43 (define @t21 () (@list @t1 @t2 @t17)) % 35.23/35.43 (define @t22 () (forall @t21 (=> @t20 @t18))) % 35.23/35.43 (define @t23 () (tptp.one_to_one @t1)) % 35.23/35.43 (define @t24 () (and @t16 @t9 @t23)) % 35.23/35.43 (define @t25 () (and @t16 @t10 @t9)) % 35.23/35.43 (define @t26 () (and @t13 @t12 @t15)) % 35.23/35.43 (define @t27 () (tptp.unordered_pair @t1 @t2)) % 35.23/35.43 (define @t28 () (tptp.set_union2 @t2 @t1)) % 35.23/35.43 (define @t29 () (tptp.set_union2 @t1 @t2)) % 35.23/35.43 (define @t30 () (tptp.set_intersection2 @t1 @t2)) % 35.23/35.43 (define @t31 () (tptp.ordinal_subset @t1 @t2)) % 35.23/35.43 (define @t32 () (tptp.ordinal @t2)) % 35.23/35.43 (define @t33 () (and @t15 @t32)) % 35.23/35.43 (define @t34 () (@var "D" $$unsorted)) % 35.23/35.43 (define @t35 () (= @t17 @t34)) % 35.23/35.43 (define @t36 () (tptp.in @t17 @t1)) % 35.23/35.43 (define @t37 () (tptp.ordered_pair @t17 @t34)) % 35.23/35.43 (define @t38 () (tptp.in @t37 @t2)) % 35.23/35.43 (define @t39 () (@list @t17 @t34)) % 35.23/35.43 (define @t40 () (tptp.identity_relation @t1)) % 35.23/35.43 (define @t41 () (= @t2 @t40)) % 35.23/35.43 (define @t42 () (tptp.relation @t2)) % 35.23/35.43 (define @t43 () (tptp.subset @t2 @t1)) % 35.23/35.43 (define @t44 () (tptp.subset @t1 @t2)) % 35.23/35.43 (define @t45 () (= @t1 @t2)) % 35.23/35.43 (define @t46 () (@var "E" $$unsorted)) % 35.23/35.43 (define @t47 () (tptp.ordered_pair @t34 @t46)) % 35.23/35.43 (define @t48 () (tptp.in @t47 @t1)) % 35.23/35.43 (define @t49 () (tptp.in @t34 @t2)) % 35.23/35.43 (define @t50 () (tptp.in @t47 @t17)) % 35.23/35.43 (define @t51 () (@list @t34 @t46)) % 35.23/35.43 (define @t52 () (tptp.relation_dom_restriction @t1 @t2)) % 35.23/35.43 (define @t53 () (@list @t2 @t17)) % 35.23/35.43 (define @t54 () (tptp.in @t46 @t2)) % 35.23/35.43 (define @t55 () (tptp.relation_dom @t1)) % 35.23/35.43 (define @t56 () (@list @t46)) % 35.23/35.43 (define @t57 () (tptp.in @t34 @t17)) % 35.23/35.43 (define @t58 () (@list @t34)) % 35.23/35.43 (define @t59 () (= @t17 (tptp.relation_image @t1 @t2))) % 35.23/35.43 (define @t60 () (and @t16 @t9)) % 35.23/35.43 (define @t61 () (tptp.in @t46 @t1)) % 35.23/35.43 (define @t62 () (tptp.relation_rng_restriction @t1 @t2)) % 35.23/35.43 (define @t63 () (@list @t17)) % 35.23/35.43 (define @t64 () (tptp.relation_field @t1)) % 35.23/35.43 (define @t65 () (tptp.antisymmetric @t1)) % 35.23/35.43 (define @t66 () (tptp.apply @t1 @t34)) % 35.23/35.43 (define @t67 () (tptp.in @t34 @t55)) % 35.23/35.43 (define @t68 () (= @t17 (tptp.relation_inverse_image @t1 @t2))) % 35.23/35.43 (define @t69 () (tptp.connected @t1)) % 35.23/35.43 (define @t70 () (tptp.transitive @t1)) % 35.23/35.43 (define @t71 () (tptp.in @t46 @t34)) % 35.23/35.43 (define @t72 () (@list @t1 @t2 @t17 @t34)) % 35.23/35.43 (define @t73 () (tptp.singleton @t1)) % 35.23/35.43 (define @t74 () (tptp.succ @t1)) % 35.23/35.43 (define @t75 () (@list @t2)) % 35.23/35.43 (define @t76 () (tptp.in @t17 @t2)) % 35.23/35.43 (define @t77 () (tptp.is_reflexive_in @t1 @t2)) % 35.23/35.43 (define @t78 () (tptp.relation_of2 @t17 @t1 @t2)) % 35.23/35.43 (define @t79 () (= @t2 tptp.empty_set)) % 35.23/35.43 (define @t80 () (= @t2 (tptp.set_meet @t1))) % 35.23/35.43 (define @t81 () (= @t1 tptp.empty_set)) % 35.23/35.43 (define @t82 () (tptp.in @t17 @t34)) % 35.23/35.43 (define @t83 () (tptp.in @t34 @t1)) % 35.23/35.43 (define @t84 () (not @t81)) % 35.23/35.43 (define @t85 () (= @t34 @t2)) % 35.23/35.43 (define @t86 () (tptp.powerset @t1)) % 35.23/35.43 (define @t87 () (tptp.in @t37 @t1)) % 35.23/35.43 (define @t88 () (tptp.empty @t2)) % 35.23/35.43 (define @t89 () (tptp.element @t2 @t1)) % 35.23/35.43 (define @t90 () (not @t10)) % 35.23/35.43 (define @t91 () (not @t79)) % 35.23/35.43 (define @t92 () (tptp.well_founded_relation @t1)) % 35.23/35.43 (define @t93 () (@var "F" $$unsorted)) % 35.23/35.43 (define @t94 () (not @t76)) % 35.23/35.43 (define @t95 () (= @t2 @t17)) % 35.23/35.43 (define @t96 () (not @t95)) % 35.23/35.43 (define @t97 () (tptp.in @t2 @t17)) % 35.23/35.43 (define @t98 () (forall @t63 (=> @t36 @t76))) % 35.23/35.43 (define @t99 () (= @t17 tptp.empty_set)) % 35.23/35.43 (define @t100 () (tptp.subset @t17 @t2)) % 35.23/35.43 (define @t101 () (tptp.is_well_founded_in @t1 @t2)) % 35.23/35.43 (define @t102 () (tptp.apply @t1 @t2)) % 35.23/35.43 (define @t103 () (= @t17 @t102)) % 35.23/35.43 (define @t104 () (tptp.in @t2 @t55)) % 35.23/35.43 (define @t105 () (tptp.in (tptp.ordered_pair @t2 @t17) @t1)) % 35.23/35.43 (define @t106 () (tptp.in (tptp.ordered_pair @t34 @t17) @t1)) % 35.23/35.43 (define @t107 () (tptp.is_antisymmetric_in @t1 @t2)) % 35.23/35.43 (define @t108 () (tptp.cast_to_subset @t1)) % 35.23/35.43 (define @t109 () (tptp.union @t1)) % 35.23/35.43 (define @t110 () (tptp.reflexive @t1)) % 35.23/35.43 (define @t111 () (tptp.well_ordering @t1)) % 35.23/35.43 (define @t112 () (tptp.set_difference @t1 @t2)) % 35.23/35.43 (define @t113 () (and @t67 (= @t17 @t66))) % 35.23/35.43 (define @t114 () (tptp.relation_rng @t1)) % 35.23/35.43 (define @t115 () (= @t2 @t114)) % 35.23/35.43 (define @t116 () (tptp.subset_complement @t1 @t2)) % 35.23/35.43 (define @t117 () (tptp.element @t2 @t86)) % 35.23/35.43 (define @t118 () (tptp.ordered_pair @t1 @t2)) % 35.23/35.43 (define @t119 () (tptp.is_connected_in @t1 @t2)) % 35.23/35.43 (define @t120 () (tptp.is_transitive_in @t1 @t2)) % 35.23/35.43 (define @t121 () (tptp.being_limit_ordinal @t1)) % 35.23/35.43 (define @t122 () (tptp.cartesian_product2 @t2 @t2)) % 35.23/35.43 (define @t123 () (tptp.relation_restriction @t1 @t2)) % 35.23/35.43 (define @t124 () (tptp.relation_inverse @t1)) % 35.23/35.43 (define @t125 () (tptp.apply @t17 @t34)) % 35.23/35.43 (define @t126 () (tptp.relation_field @t2)) % 35.23/35.43 (define @t127 () (tptp.relation_rng @t17)) % 35.23/35.43 (define @t128 () (tptp.relation_dom @t17)) % 35.23/35.43 (define @t129 () (tptp.relation_isomorphism @t1 @t2 @t17)) % 35.23/35.43 (define @t130 () (and @t18 (tptp.function @t17))) % 35.23/35.43 (define @t131 () (tptp.disjoint @t1 @t2)) % 35.23/35.43 (define @t132 () (tptp.relation_composition @t1 @t2)) % 35.23/35.43 (define @t133 () (tptp.complements_of_subsets @t1 @t2)) % 35.23/35.43 (define @t134 () (tptp.powerset @t86)) % 35.23/35.43 (define @t135 () (tptp.element @t2 @t134)) % 35.23/35.43 (define @t136 () (not @t45)) % 35.23/35.43 (define @t137 () (tptp.function_inverse @t1)) % 35.23/35.43 (define @t138 () (tptp.relation @t124)) % 35.23/35.43 (define @t139 () (tptp.relation @t132)) % 35.23/35.43 (define @t140 () (and @t16 @t42)) % 35.23/35.43 (define @t141 () (tptp.union_of_subsets @t1 @t2)) % 35.23/35.43 (define @t142 () (tptp.relation @t40)) % 35.23/35.43 (define @t143 () (tptp.meet_of_subsets @t1 @t2)) % 35.23/35.43 (define @t144 () (tptp.subset_difference @t1 @t2 @t17)) % 35.23/35.43 (define @t145 () (tptp.element @t17 @t86)) % 35.23/35.43 (define @t146 () (and @t117 @t145)) % 35.23/35.43 (define @t147 () (tptp.relation @t52)) % 35.23/35.43 (define @t148 () (tptp.relation @t62)) % 35.23/35.43 (define @t149 () (tptp.relation_of2_as_subset @t17 @t1 @t2)) % 35.23/35.43 (define @t150 () (forall @t21 (=> @t149 @t20))) % 35.23/35.43 (define @t151 () (tptp.relation_composition @t2 @t1)) % 35.23/35.43 (define @t152 () (and @t10 @t42)) % 35.23/35.43 (define @t153 () (tptp.relation_empty_yielding tptp.empty_set)) % 35.23/35.43 (define @t154 () (tptp.relation tptp.empty_set)) % 35.23/35.43 (define @t155 () (tptp.empty tptp.empty_set)) % 35.23/35.43 (define @t156 () (tptp.relation_empty_yielding @t1)) % 35.23/35.43 (define @t157 () (and @t16 @t156)) % 35.23/35.43 (define @t158 () (tptp.function @t2)) % 35.23/35.43 (define @t159 () (not (tptp.empty @t74))) % 35.23/35.43 (define @t160 () (not @t88)) % 35.23/35.43 (define @t161 () (and @t42 @t158)) % 35.23/35.43 (define @t162 () (tptp.empty @t55)) % 35.23/35.43 (define @t163 () (and @t90 @t16)) % 35.23/35.43 (define @t164 () (tptp.empty @t114)) % 35.23/35.43 (define @t165 () (tptp.in @t2 @t64)) % 35.23/35.43 (define @t166 () (tptp.disjoint @t73 @t2)) % 35.23/35.43 (define @t167 () (not @t5)) % 35.23/35.43 (define @t168 () (tptp.relation_dom @t2)) % 35.23/35.43 (define @t169 () (tptp.in (tptp.ordered_pair @t17 @t2) @t1)) % 35.23/35.43 (define @t170 () (not @t105)) % 35.23/35.43 (define @t171 () (tptp.singleton @t2)) % 35.23/35.43 (define @t172 () (tptp.union @t2)) % 35.23/35.43 (define @t173 () (tptp.in @t1 @t17)) % 35.23/35.43 (define @t174 () (tptp.element @t1 (tptp.powerset @t2))) % 35.23/35.43 (define @t175 () (tptp.relation_dom_restriction @t17 @t1)) % 35.23/35.43 (define @t176 () (tptp.in @t2 (tptp.relation_dom @t175))) % 35.23/35.43 (define @t177 () (tptp.set_difference @t2 @t17)) % 35.23/35.43 (define @t178 () (forall @t21 (= @t149 @t78))) % 35.23/35.43 (define @t179 () (= @t1 @t17)) % 35.23/35.43 (define @t180 () (tptp.relation_rng @t62)) % 35.23/35.43 (define @t181 () (tptp.relation_rng @t2)) % 35.23/35.43 (define @t182 () (tptp.cartesian_product2 @t1 @t17)) % 35.23/35.43 (define @t183 () (tptp.subset @t182 (tptp.cartesian_product2 @t2 @t34))) % 35.23/35.43 (define @t184 () (tptp.subset @t17 @t34)) % 35.23/35.43 (define @t185 () (and @t44 @t184)) % 35.23/35.43 (define @t186 () (forall @t72 (=> @t185 @t183))) % 35.23/35.43 (define @t187 () (and (tptp.subset @t128 @t1) (tptp.subset @t127 @t2))) % 35.23/35.43 (define @t188 () (forall @t21 (=> @t149 @t187))) % 35.23/35.43 (define @t189 () (forall @t63 (not (and @t100 (not (tptp.are_equipotent @t17 @t2)) @t94)))) % 35.23/35.43 (define @t190 () (tptp.powerset @t17)) % 35.23/35.43 (define @t191 () (forall @t39 (=> (and @t76 (tptp.subset @t34 @t17)) @t49))) % 35.23/35.43 (define @t192 () (tptp.relation_dom_restriction @t17 @t2)) % 35.23/35.43 (define @t193 () (tptp.relation_image @t2 @t1)) % 35.23/35.43 (define @t194 () (tptp.relation_inverse_image @t2 @t1)) % 35.23/35.43 (define @t195 () (tptp.relation_image @t2 @t194)) % 35.23/35.43 (define @t196 () (tptp.set_intersection2 @t168 @t1)) % 35.23/35.43 (define @t197 () (tptp.subset @t1 @t181)) % 35.23/35.43 (define @t198 () (tptp.relation_of2_as_subset @t34 @t17 @t2)) % 35.23/35.43 (define @t199 () (tptp.subset (tptp.relation_rng @t34) @t2)) % 35.23/35.43 (define @t200 () (=> @t199 @t198)) % 35.23/35.43 (define @t201 () (tptp.relation_of2_as_subset @t34 @t17 @t1)) % 35.23/35.43 (define @t202 () (forall @t72 (=> @t201 @t200))) % 35.23/35.43 (define @t203 () (not @t202)) % 35.23/35.43 (define @t204 () (tptp.relation_rng @t132)) % 35.23/35.43 (define @t205 () (tptp.relation_inverse_image @t17 @t2)) % 35.23/35.43 (define @t206 () (tptp.relation_restriction @t17 @t2)) % 35.23/35.43 (define @t207 () (tptp.relation_restriction @t2 @t1)) % 35.23/35.43 (define @t208 () (tptp.relation_dom_restriction @t2 @t1)) % 35.23/35.43 (define @t209 () (tptp.relation_field @t17)) % 35.23/35.43 (define @t210 () (tptp.in @t1 @t209)) % 35.23/35.43 (define @t211 () (tptp.set_intersection2 @t2 @t17)) % 35.23/35.43 (define @t212 () (tptp.subset @t1 @t17)) % 35.23/35.43 (define @t213 () (tptp.element @t1 @t2)) % 35.23/35.43 (define @t214 () (tptp.subset @t2 @t17)) % 35.23/35.43 (define @t215 () (and @t44 @t214)) % 35.23/35.43 (define @t216 () (forall @t21 (=> @t215 @t212))) % 35.23/35.43 (define @t217 () (tptp.in @t1 @t128)) % 35.23/35.43 (define @t218 () (tptp.in @t118 @t17)) % 35.23/35.43 (define @t219 () (tptp.relation_field @t207)) % 35.23/35.43 (define @t220 () (tptp.apply @t17 @t1)) % 35.23/35.43 (define @t221 () (tptp.relation_composition @t17 @t2)) % 35.23/35.43 (define @t222 () (tptp.in @t1 (tptp.relation_dom @t221))) % 35.23/35.43 (define @t223 () (tptp.subset @t1 (tptp.cartesian_product2 @t55 @t114))) % 35.23/35.43 (define @t224 () (forall @t11 (=> @t16 @t223))) % 35.23/35.43 (define @t225 () (tptp.reflexive @t2)) % 35.23/35.43 (define @t226 () (tptp.connected @t2)) % 35.23/35.43 (define @t227 () (tptp.transitive @t2)) % 35.23/35.43 (define @t228 () (tptp.antisymmetric @t2)) % 35.23/35.43 (define @t229 () (tptp.well_founded_relation @t2)) % 35.23/35.43 (define @t230 () (tptp.well_ordering @t2)) % 35.23/35.43 (define @t231 () (tptp.apply @t2 @t17)) % 35.23/35.43 (define @t232 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 35.23/35.43 (define @t233 () (and @t36 @t76)) % 35.23/35.43 (define @t234 () (not @t131)) % 35.23/35.43 (define @t235 () (tptp.succ @t2)) % 35.23/35.43 (define @t236 () (= @t1 @t235)) % 35.23/35.43 (define @t237 () (tptp.subset_complement @t1 @t17)) % 35.23/35.43 (define @t238 () (tptp.disjoint @t2 @t17)) % 35.23/35.43 (define @t239 () (tptp.relation_dom @t132)) % 35.23/35.43 (define @t240 () (tptp.element @t2 @t190)) % 35.23/35.43 (define @t241 () (tptp.in @t17 @t30)) % 35.23/35.43 (define @t242 () (and (tptp.in @t17 @t114) (= @t34 @t231))) % 35.23/35.43 (define @t243 () (tptp.function_inverse @t2)) % 35.23/35.43 (define @t244 () (= @t114 tptp.empty_set)) % 35.23/35.43 (define @t245 () (= @t55 tptp.empty_set)) % 35.23/35.43 (define @t246 () (= (tptp.apply @t175 @t2) (tptp.apply @t17 @t2))) % 35.23/35.43 (define @t247 () (= @t73 (tptp.unordered_pair @t2 @t17))) % 35.23/35.43 (define @t248 () (not @t214)) % 35.23/35.43 (define @t249 () (not @t44)) % 35.23/35.43 (define @t250 () (or @t249 @t248 @t212)) % 35.23/35.43 (define @t251 () (not @t184)) % 35.23/35.43 (define @t252 () (not @t199)) % 35.23/35.43 (define @t253 () (not @t201)) % 35.23/35.43 (define @t254 () (or @t253 @t252 @t198)) % 35.23/35.43 (define @t255 () (forall @t72 @t254)) % 35.23/35.43 (define @t256 () (@quantifiers_skolemize @t255 1)) % 35.23/35.43 (define @t257 () (@quantifiers_skolemize @t255 3)) % 35.23/35.43 (define @t258 () (tptp.relation_rng @t257)) % 35.23/35.43 (define @t259 () (@quantifiers_skolemize @t255 2)) % 35.23/35.43 (define @t260 () (tptp.relation_dom @t257)) % 35.23/35.43 (define @t261 () (@quantifiers_skolemize @t255 0)) % 35.23/35.43 (define @t262 () (@list @t259 @t261 @t257)) % 35.23/35.43 (define @t263 () (tptp.relation_of2_as_subset @t257 @t259 @t261)) % 35.23/35.43 (define @t264 () (tptp.relation_of2_as_subset @t257 @t259 @t256)) % 35.23/35.43 (define @t265 () (tptp.subset @t258 @t256)) % 35.23/35.43 (define @t266 () (not @t265)) % 35.23/35.43 (define @t267 () (not @t263)) % 35.23/35.43 (define @t268 () (or @t267 @t266 @t264)) % 35.23/35.43 (define @t269 () (@list true)) % 35.23/35.43 (define @t270 () (@list @t268)) % 35.23/35.43 (define @t271 () (tptp.subset @t260 @t259)) % 35.23/35.43 (define @t272 () (and @t271 (tptp.subset @t258 @t261))) % 35.23/35.43 (define @t273 () (or @t267 @t272)) % 35.23/35.43 (define @t274 () (@list false false)) % 35.23/35.43 (define @t275 () (@list false)) % 35.23/35.43 (define @t276 () (tptp.cartesian_product2 @t259 @t256)) % 35.23/35.43 (define @t277 () (tptp.cartesian_product2 @t260 @t258)) % 35.23/35.43 (define @t278 () (tptp.subset @t277 @t276)) % 35.23/35.43 (define @t279 () (not @t271)) % 35.23/35.43 (define @t280 () (or @t279 @t266 @t278)) % 35.23/35.43 (define @t281 () (@list @t259 @t256 @t257)) % 35.23/35.43 (define @t282 () (tptp.relation_of2 @t257 @t259 @t256)) % 35.23/35.43 (define @t283 () (forall @t21 (= @t78 @t149))) % 35.23/35.43 (define @t284 () (= @t282 @t264)) % 35.23/35.43 (define @t285 () (= @t264 @t282)) % 35.23/35.43 (define @t286 () (not @t282)) % 35.23/35.43 (define @t287 () (@list true false)) % 35.23/35.43 (define @t288 () (tptp.subset @t257 @t276)) % 35.23/35.43 (define @t289 () (= @t282 @t288)) % 35.23/35.43 (define @t290 () (not @t288)) % 35.23/35.43 (define @t291 () (tptp.element @t257 (tptp.powerset (tptp.cartesian_product2 @t259 @t261)))) % 35.23/35.43 (define @t292 () (or @t267 @t291)) % 35.23/35.43 (define @t293 () (tptp.relation @t257)) % 35.23/35.43 (define @t294 () (not @t291)) % 35.23/35.43 (define @t295 () (or @t294 @t293)) % 35.23/35.43 (define @t296 () (tptp.subset @t257 @t277)) % 35.23/35.43 (define @t297 () (not @t293)) % 35.23/35.43 (define @t298 () (or @t297 @t296)) % 35.23/35.43 (define @t299 () (not @t278)) % 35.23/35.43 (define @t300 () (not @t296)) % 35.23/35.43 (define @t301 () (or @t300 @t299 @t288)) % 35.23/35.43 (define @t302 () (not @t301)) % 35.23/35.43 (define @t303 () (forall @t21 @t250)) % 35.23/35.43 (assume @p1 (forall @t6 (=> @t5 @t4))) % 35.23/35.43 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 35.23/35.43 (assume @p3 (forall @t11 (=> @t10 @t9))) % 35.23/35.43 (assume @p4 (forall @t11 (=> @t15 @t14))) % 35.23/35.43 (assume @p5 (forall @t11 (=> @t10 @t16))) % 35.23/35.43 (assume @p6 @t22) % 35.23/35.43 (assume @p7 (forall @t11 (=> @t25 @t24))) % 35.23/35.43 (assume @p8 (forall @t11 (=> @t14 @t15))) % 35.23/35.43 (assume @p9 (forall @t11 (=> @t10 @t26))) % 35.23/35.43 (assume @p10 (forall @t6 (= @t27 (tptp.unordered_pair @t2 @t1)))) % 35.23/35.43 (assume @p11 (forall @t6 (= @t29 @t28))) % 35.23/35.43 (assume @p12 (forall @t6 (= @t30 (tptp.set_intersection2 @t2 @t1)))) % 35.23/35.43 (assume @p13 (forall @t6 (=> @t33 (or @t31 (tptp.ordinal_subset @t2 @t1))))) % 35.23/35.43 (assume @p14 (forall @t6 (=> @t42 (= @t41 (forall @t39 (= @t38 (and @t36 @t35))))))) % 35.23/35.43 (assume @p15 (forall @t6 (= @t45 (and @t44 @t43)))) % 35.23/35.43 (assume @p16 (forall @t11 (=> @t16 (forall @t53 (=> @t18 (= (= @t17 @t52) (forall @t51 (= @t50 (and @t49 @t48))))))))) % 35.23/35.43 (assume @p17 (forall @t11 (=> @t60 (forall @t53 (= @t59 (forall @t58 (= @t57 (exists @t56 (and (tptp.in @t46 @t55) @t54 (= @t34 (tptp.apply @t1 @t46))))))))))) % 35.23/35.43 (assume @p18 (forall @t6 (=> @t42 (forall @t63 (=> @t18 (= (= @t17 @t62) (forall @t51 (= @t50 (and @t61 (tptp.in @t47 @t2)))))))))) % 35.23/35.43 (assume @p19 (forall @t11 (=> @t16 (= @t65 (tptp.is_antisymmetric_in @t1 @t64))))) % 35.23/35.43 (assume @p20 (forall @t11 (=> @t60 (forall @t53 (= @t68 (forall @t58 (= @t57 (and @t67 (tptp.in @t66 @t2))))))))) % 35.23/35.43 (assume @p21 (forall @t11 (=> @t16 (forall @t53 (= @t59 (forall @t58 (= @t57 (exists @t56 (and (tptp.in (tptp.ordered_pair @t46 @t34) @t1) @t54))))))))) % 35.23/35.43 (assume @p22 (forall @t11 (=> @t16 (forall @t53 (= @t68 (forall @t58 (= @t57 (exists @t56 (and @t48 @t54))))))))) % 35.23/35.43 (assume @p23 (forall @t11 (=> @t16 (= @t69 (tptp.is_connected_in @t1 @t64))))) % 35.23/35.43 (assume @p24 (forall @t11 (=> @t16 (= @t70 (tptp.is_transitive_in @t1 @t64))))) % 35.23/35.43 (assume @p25 (forall @t72 (= (= @t34 (tptp.unordered_triple @t1 @t2 @t17)) (forall @t56 (= @t71 (not (and (not (= @t46 @t1)) (not (= @t46 @t2)) (not (= @t46 @t17))))))))) % 35.23/35.43 (assume @p26 (forall @t11 (= @t74 (tptp.set_union2 @t1 @t73)))) % 35.23/35.43 (assume @p27 (forall @t11 (= @t16 (forall @t75 (not (and @t3 (forall @t39 (not (= @t2 @t37))))))))) % 35.23/35.43 (assume @p28 (forall @t11 (=> @t16 (forall @t75 (= @t77 (forall @t63 (=> @t76 (tptp.in (tptp.ordered_pair @t17 @t17) @t1)))))))) % 35.23/35.43 (assume @p29 (forall @t21 (= @t78 (tptp.subset @t17 @t19)))) % 35.23/35.43 (assume @p30 (forall @t6 (and (=> @t84 (= @t80 (forall @t63 (= @t76 (forall @t58 (=> @t83 @t82)))))) (=> @t81 (= @t80 @t79))))) % 35.23/35.43 (assume @p31 (forall @t6 (= (= @t2 @t73) (forall @t63 (= @t76 (= @t17 @t1)))))) % 35.23/35.43 (assume @p32 (forall @t11 (=> @t16 (forall @t53 (= (= @t17 (tptp.fiber @t1 @t2)) (forall @t58 (= @t57 (and (not @t85) (tptp.in (tptp.ordered_pair @t34 @t2) @t1))))))))) % 35.23/35.43 (assume @p33 (forall @t11 (= @t81 (forall @t75 @t4)))) % 35.23/35.43 (assume @p34 (forall @t6 (= (= @t2 @t86) (forall @t63 (= @t76 (tptp.subset @t17 @t1)))))) % 35.23/35.43 (assume @p35 (forall @t11 (= @t13 (forall @t75 (=> @t3 @t43))))) % 35.23/35.43 (assume @p36 (forall @t11 (=> @t16 (forall @t75 (=> @t42 (= @t45 (forall @t39 (= @t87 @t38)))))))) % 35.23/35.43 (assume @p37 (forall @t6 (and (=> @t90 (= @t89 @t3)) (=> @t10 (= @t89 @t88))))) % 35.23/35.43 (assume @p38 (forall @t21 (= (= @t17 @t27) (forall @t58 (= @t57 (or (= @t34 @t1) @t85)))))) % 35.23/35.43 (assume @p39 (forall @t11 (=> @t16 (= @t92 (forall @t75 (not (and (tptp.subset @t2 @t64) @t91 (forall @t63 (not (and @t76 (tptp.disjoint (tptp.fiber @t1 @t17) @t2))))))))))) % 35.23/35.43 (assume @p40 (forall @t21 (= (= @t17 @t29) (forall @t58 (= @t57 (or @t83 @t49)))))) % 35.23/35.43 (assume @p41 (forall @t21 (= (= @t17 @t19) (forall @t58 (= @t57 (exists (@list @t46 @t93) (and @t61 (tptp.in @t93 @t2) (= @t34 (tptp.ordered_pair @t46 @t93))))))))) % 35.23/35.43 (assume @p42 (forall @t11 (= @t12 (forall @t53 (not (and @t3 @t36 (not @t97) @t96 @t94)))))) % 35.23/35.43 (assume @p43 (forall @t11 (=> @t16 (forall @t75 (=> @t42 (= @t44 (forall @t39 (=> @t87 @t38)))))))) % 35.23/35.43 (assume @p44 (forall @t6 (= @t44 @t98))) % 35.23/35.43 (assume @p45 (forall @t11 (=> @t16 (forall @t75 (= @t101 (forall @t63 (not (and @t100 (not @t99) (forall @t58 (not (and @t57 (tptp.disjoint (tptp.fiber @t1 @t34) @t17)))))))))))) % 35.23/35.43 (assume @p46 (forall @t21 (= (= @t17 @t30) (forall @t58 (= @t57 (and @t83 @t49)))))) % 35.23/35.43 (assume @p47 (forall @t11 (=> @t60 (forall @t53 (and (=> @t104 (= @t103 @t105)) (=> (not @t104) (= @t103 @t99))))))) % 35.23/35.43 (assume @p48 (forall @t11 (= @t15 @t14))) % 35.23/35.43 (assume @p49 (forall @t11 (=> @t16 (forall @t75 (= (= @t2 @t55) (forall @t63 (= @t76 (exists @t58 @t87)))))))) % 35.23/35.43 (assume @p50 (forall @t11 (=> @t16 (forall @t75 (= @t107 (forall @t39 (=> (and @t76 @t49 @t87 @t106) @t35))))))) % 35.23/35.43 (assume @p51 (forall @t11 (= @t108 @t1))) % 35.23/35.43 (assume @p52 (forall @t6 (= (= @t2 @t109) (forall @t63 (= @t76 (exists @t58 (and @t82 @t83))))))) % 35.23/35.43 (assume @p53 (forall @t11 (=> @t16 (= @t111 (and @t110 @t70 @t65 @t69 @t92))))) % 35.23/35.43 (assume @p54 (forall @t21 (= (= @t17 @t112) (forall @t58 (= @t57 (and @t83 (not @t49))))))) % 35.23/35.43 (assume @p55 (forall @t11 (=> @t60 (forall @t75 (= @t115 (forall @t63 (= @t76 (exists @t58 @t113)))))))) % 35.23/35.43 (assume @p56 (forall @t11 (=> @t16 (forall @t75 (= @t115 (forall @t63 (= @t76 (exists @t58 @t106)))))))) % 35.23/35.43 (assume @p57 (forall @t6 (=> @t117 (= @t116 @t112)))) % 35.23/35.43 (assume @p58 (forall @t6 (= @t118 (tptp.unordered_pair @t27 @t73)))) % 35.23/35.43 (assume @p59 (forall @t11 (=> @t16 (forall @t75 (= (tptp.well_orders @t1 @t2) (and @t77 @t120 @t107 @t119 @t101)))))) % 35.23/35.43 (assume @p60 (forall @t11 (= @t121 (= @t1 @t109)))) % 35.23/35.43 (assume @p61 (forall @t11 (=> @t16 (= @t64 (tptp.set_union2 @t55 @t114))))) % 35.23/35.43 (assume @p62 (forall @t11 (=> @t16 (forall @t75 (= @t119 (forall @t39 (not (and @t76 @t49 (not @t35) (not @t87) (not @t106))))))))) % 35.23/35.43 (assume @p63 (forall @t11 (=> @t16 (forall @t75 (= @t123 (tptp.set_intersection2 @t1 @t122)))))) % 35.23/35.43 (assume @p64 (forall @t11 (=> @t16 (forall @t75 (=> @t42 (= (= @t2 @t124) (forall @t39 (= @t38 @t106)))))))) % 35.23/35.43 (assume @p65 (forall @t11 (=> @t16 (forall @t75 (=> @t42 (forall @t63 (=> @t130 (= @t129 (and (= @t128 @t64) (= @t127 @t126) (tptp.one_to_one @t17) (forall @t51 (= @t48 (and (tptp.in @t34 @t64) (tptp.in @t46 @t64) (tptp.in (tptp.ordered_pair @t125 (tptp.apply @t17 @t46)) @t2))))))))))))) % 35.23/35.43 (assume @p66 (forall @t6 (= @t131 (= @t30 tptp.empty_set)))) % 35.23/35.43 (assume @p67 (forall @t11 (=> @t60 (= @t23 (forall @t53 (=> (and @t104 (tptp.in @t17 @t55) (= @t102 (tptp.apply @t1 @t17))) @t95)))))) % 35.23/35.43 (assume @p68 (forall @t11 (=> @t16 (forall @t75 (=> @t42 (forall @t63 (=> @t18 (= (= @t17 @t132) (forall @t51 (= @t50 (exists (@list @t93) (and (tptp.in (tptp.ordered_pair @t34 @t93) @t1) (tptp.in (tptp.ordered_pair @t93 @t46) @t2))))))))))))) % 35.23/35.43 (assume @p69 (forall @t11 (=> @t16 (forall @t75 (= @t120 (forall (@list @t17 @t34 @t46) (=> (and @t76 @t49 @t54 @t87 @t48) (tptp.in (tptp.ordered_pair @t17 @t46) @t1)))))))) % 35.23/35.43 (assume @p70 (forall @t6 (=> @t135 (forall @t63 (=> (tptp.element @t17 @t134) (= (= @t17 @t133) (forall @t58 (=> (tptp.element @t34 @t86) (= @t57 (tptp.in (tptp.subset_complement @t1 @t34) @t2)))))))))) % 35.23/35.43 (assume @p71 (forall @t6 (= @t8 (and @t44 @t136)))) % 35.23/35.43 (assume @p72 (forall @t11 (=> @t60 (=> @t23 (= @t137 @t124))))) % 35.23/35.43 (assume @p73 (forall @t11 (=> @t16 (= @t110 (tptp.is_reflexive_in @t1 @t64))))) % 35.23/35.43 (assume @p74 true) % 35.23/35.43 (assume @p75 (forall @t11 (=> @t60 (and (tptp.relation @t137) (tptp.function @t137))))) % 35.23/35.43 (assume @p76 (forall @t11 (tptp.element @t108 @t86))) % 35.23/35.43 (assume @p77 (forall @t6 (=> @t16 (tptp.relation @t123)))) % 35.23/35.43 (assume @p78 (forall @t6 (=> @t117 (tptp.element @t116 @t86)))) % 35.23/35.43 (assume @p79 (forall @t11 (=> @t16 @t138))) % 35.23/35.43 (assume @p80 (forall @t6 (=> @t140 @t139))) % 35.23/35.43 (assume @p81 (forall @t6 (=> @t135 (tptp.element @t141 @t86)))) % 35.23/35.43 (assume @p82 (forall @t11 @t142)) % 35.23/35.43 (assume @p83 (forall @t6 (=> @t135 (tptp.element @t143 @t86)))) % 35.23/35.43 (assume @p84 (forall @t21 (=> @t146 (tptp.element @t144 @t86)))) % 35.23/35.43 (assume @p85 (forall @t6 (=> @t16 @t147))) % 35.23/35.43 (assume @p86 (forall @t6 (=> @t135 (tptp.element @t133 @t134)))) % 35.23/35.43 (assume @p87 (forall @t6 (=> @t42 @t148))) % 35.23/35.43 (assume @p88 @t150) % 35.23/35.43 (assume @p89 (forall @t6 (exists @t63 @t78))) % 35.23/35.43 (assume @p90 (forall @t11 (exists @t75 @t89))) % 35.23/35.43 (assume @p91 (forall @t6 (exists @t63 @t149))) % 35.23/35.43 (assume @p92 (forall @t6 (=> @t152 (and (tptp.empty @t151) (tptp.relation @t151))))) % 35.23/35.43 (assume @p93 (forall @t11 (=> @t10 (and (tptp.empty @t124) @t138)))) % 35.23/35.43 (assume @p94 (and @t155 @t154 @t153)) % 35.23/35.43 (assume @p95 (forall @t6 (=> @t157 (and @t147 (tptp.relation_empty_yielding @t52))))) % 35.23/35.43 (assume @p96 (forall @t6 (=> (and @t16 @t9 @t42 @t158) (and @t139 (tptp.function @t132))))) % 35.23/35.43 (assume @p97 (forall @t11 @t159)) % 35.23/35.43 (assume @p98 (forall @t6 (=> @t140 (tptp.relation @t30)))) % 35.23/35.43 (assume @p99 (forall @t11 (not (tptp.empty @t86)))) % 35.23/35.43 (assume @p100 @t155) % 35.23/35.43 (assume @p101 (forall @t6 (not (tptp.empty @t118)))) % 35.23/35.43 (assume @p102 (forall @t11 (and @t142 (tptp.function @t40)))) % 35.23/35.43 (assume @p103 (and @t154 @t153 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t155 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 35.23/35.43 (assume @p104 (forall @t6 (=> @t140 (tptp.relation @t29)))) % 35.23/35.43 (assume @p105 (forall @t11 (not (tptp.empty @t73)))) % 35.23/35.43 (assume @p106 (forall @t6 (=> @t90 (not (tptp.empty @t29))))) % 35.23/35.43 (assume @p107 (forall @t11 (=> @t24 (and @t138 (tptp.function @t124))))) % 35.23/35.43 (assume @p108 (forall @t11 (=> @t15 (and @t159 (tptp.epsilon_transitive @t74) (tptp.epsilon_connected @t74) (tptp.ordinal @t74))))) % 35.23/35.43 (assume @p109 (forall @t6 (=> @t140 (tptp.relation @t112)))) % 35.23/35.43 (assume @p110 (forall @t6 (not (tptp.empty @t27)))) % 35.23/35.43 (assume @p111 (forall @t6 (=> @t90 (not (tptp.empty @t28))))) % 35.23/35.43 (assume @p112 (forall @t6 (=> @t60 (and @t147 (tptp.function @t52))))) % 35.23/35.43 (assume @p113 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t109) (tptp.epsilon_connected @t109) (tptp.ordinal @t109))))) % 35.23/35.43 (assume @p114 (and @t155 @t154)) % 35.23/35.43 (assume @p115 (forall @t6 (=> (and @t90 @t160) (not (tptp.empty @t19))))) % 35.23/35.43 (assume @p116 (forall @t6 (=> @t161 (and @t148 (tptp.function @t62))))) % 35.23/35.43 (assume @p117 (forall @t11 (=> @t163 (not @t162)))) % 35.23/35.43 (assume @p118 (forall @t11 (=> @t163 (not @t164)))) % 35.23/35.43 (assume @p119 (forall @t11 (=> @t10 (and @t162 (tptp.relation @t55))))) % 35.23/35.43 (assume @p120 (forall @t11 (=> @t10 (and @t164 (tptp.relation @t114))))) % 35.23/35.43 (assume @p121 (forall @t6 (=> @t152 (and (tptp.empty @t132) @t139)))) % 35.23/35.43 (assume @p122 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 35.23/35.43 (assume @p123 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 35.23/35.43 (assume @p124 (forall @t6 (=> @t117 (= (tptp.subset_complement @t1 @t116) @t2)))) % 35.23/35.43 (assume @p125 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t124) @t1)))) % 35.23/35.43 (assume @p126 (forall @t6 (=> @t135 (= (tptp.complements_of_subsets @t1 @t133) @t2)))) % 35.23/35.43 (assume @p127 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 35.23/35.43 (assume @p128 (forall @t11 (=> @t16 (= @t110 (forall @t75 (=> @t165 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 35.23/35.43 (assume @p129 (forall @t11 (not (= @t73 tptp.empty_set)))) % 35.23/35.43 (assume @p130 (forall @t6 (=> @t5 (= (tptp.set_union2 @t73 @t2) @t2)))) % 35.23/35.43 (assume @p131 (forall @t6 (not (and @t166 @t5)))) % 35.23/35.43 (assume @p132 (forall @t6 (=> @t167 @t166))) % 35.23/35.43 (assume @p133 (forall @t6 (=> @t42 (tptp.subset (tptp.relation_dom @t62) @t168)))) % 35.23/35.43 (assume @p134 (forall @t11 (=> @t16 (= @t70 (forall (@list @t2 @t17 @t34) (=> (and @t105 @t87) (tptp.in (tptp.ordered_pair @t2 @t34) @t1))))))) % 35.23/35.43 (assume @p135 (forall @t6 (= (tptp.subset @t73 @t2) @t5))) % 35.23/35.43 (assume @p136 (forall @t6 (= (= @t112 tptp.empty_set) @t44))) % 35.23/35.43 (assume @p137 (forall @t6 (=> @t117 (forall @t63 (=> @t76 @t36))))) % 35.23/35.43 (assume @p138 (forall @t11 (=> @t16 (= @t65 (forall @t53 (=> (and @t105 @t169) @t95)))))) % 35.23/35.43 (assume @p139 (forall @t21 (=> @t44 (or @t36 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t17))))))) % 35.23/35.43 (assume @p140 (forall @t11 (=> @t16 (= @t69 (forall @t53 (not (and @t165 (tptp.in @t17 @t64) @t96 @t170 (not @t169)))))))) % 35.23/35.43 (assume @p141 (forall @t6 (= (tptp.subset @t1 @t171) (or @t81 (= @t1 @t171))))) % 35.23/35.43 (assume @p142 (forall @t6 (=> @t5 (tptp.subset @t1 @t172)))) % 35.23/35.43 (assume @p143 (forall @t72 (= (tptp.in @t118 (tptp.cartesian_product2 @t17 @t34)) (and @t173 (tptp.in @t2 @t34))))) % 35.23/35.43 (assume @p144 (forall @t6 (=> @t98 @t174))) % 35.23/35.43 (assume @p145 (forall @t21 (=> @t130 (= @t176 (and (tptp.in @t2 @t128) @t3))))) % 35.23/35.43 (assume @p146 (exists @t11 @t60)) % 35.23/35.43 (assume @p147 (exists @t11 @t26)) % 35.23/35.43 (assume @p148 (exists @t11 (and @t10 @t16))) % 35.23/35.43 (assume @p149 (forall @t11 (=> @t90 (exists @t75 (and @t117 @t160))))) % 35.23/35.43 (assume @p150 (exists @t11 @t10)) % 35.23/35.43 (assume @p151 (exists @t11 @t25)) % 35.23/35.43 (assume @p152 (exists @t11 (and @t16 @t9 @t23 @t10 @t13 @t12 @t15))) % 35.23/35.43 (assume @p153 (exists @t11 @t163)) % 35.23/35.43 (assume @p154 (forall @t11 (exists @t75 (and @t117 @t88)))) % 35.23/35.43 (assume @p155 (exists @t11 @t90)) % 35.23/35.43 (assume @p156 (exists @t11 @t24)) % 35.23/35.43 (assume @p157 (exists @t11 (and @t90 @t13 @t12 @t15))) % 35.23/35.43 (assume @p158 (exists @t11 @t157)) % 35.23/35.43 (assume @p159 (exists @t11 (and @t16 @t156 @t9))) % 35.23/35.43 (assume @p160 (forall @t6 (=> @t135 (= @t141 @t172)))) % 35.23/35.43 (assume @p161 (forall @t6 (=> @t135 (= @t143 (tptp.set_meet @t2))))) % 35.23/35.43 (assume @p162 (forall @t21 (=> @t146 (= @t144 @t177)))) % 35.23/35.43 (assume @p163 @t178) % 35.23/35.43 (assume @p164 (forall @t6 (=> @t33 (= @t31 @t44)))) % 35.23/35.43 (assume @p165 (forall @t6 (=> @t33 (tptp.ordinal_subset @t1 @t1)))) % 35.23/35.43 (assume @p166 (forall @t6 (tptp.subset @t1 @t1))) % 35.23/35.43 (assume @p167 (forall @t6 (=> @t131 (tptp.disjoint @t2 @t1)))) % 35.23/35.43 (assume @p168 (forall @t11 (tptp.in @t1 @t74))) % 35.23/35.43 (assume @p169 (forall @t72 (not (and (= @t27 (tptp.unordered_pair @t17 @t34)) (not @t179) (not (= @t1 @t34)))))) % 35.23/35.43 (assume @p170 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t17))) (and @t5 (tptp.in @t1 @t127)))))) % 35.23/35.43 (assume @p171 (forall @t6 (=> @t42 (tptp.subset @t180 @t1)))) % 35.23/35.43 (assume @p172 (forall @t6 (=> @t42 (tptp.subset @t62 @t2)))) % 35.23/35.43 (assume @p173 (forall @t6 (=> @t42 (tptp.subset @t180 @t181)))) % 35.23/35.43 (assume @p174 (forall @t21 (=> @t44 (and (tptp.subset @t182 (tptp.cartesian_product2 @t2 @t17)) (tptp.subset (tptp.cartesian_product2 @t17 @t1) (tptp.cartesian_product2 @t17 @t2)))))) % 35.23/35.43 (assume @p175 (forall @t6 (=> @t42 (= @t180 (tptp.set_intersection2 @t181 @t1))))) % 35.23/35.43 (assume @p176 @t186) % 35.23/35.43 (assume @p177 @t188) % 35.23/35.43 (assume @p178 (forall @t6 (=> @t44 (= @t29 @t2)))) % 35.23/35.43 (assume @p179 (forall @t11 (exists @t75 (and @t5 @t191 (forall @t63 (=> @t76 (tptp.in @t190 @t2))) @t189)))) % 35.23/35.43 (assume @p180 (forall @t21 (=> @t18 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t17) @t2) (tptp.relation_rng_restriction @t1 @t192))))) % 35.23/35.43 (assume @p181 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_image @t17 @t2)) (exists @t58 (and (tptp.in @t34 @t128) (tptp.in (tptp.ordered_pair @t34 @t1) @t17) @t49)))))) % 35.23/35.43 (assume @p182 (forall @t6 (=> @t42 (tptp.subset @t193 @t181)))) % 35.23/35.43 (assume @p183 (forall @t6 (=> @t161 (tptp.subset @t195 @t1)))) % 35.23/35.43 (assume @p184 (forall @t6 (=> @t42 (= @t193 (tptp.relation_image @t2 @t196))))) % 35.23/35.43 (assume @p185 (forall @t6 (=> @t42 (=> (tptp.subset @t1 @t168) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t193)))))) % 35.23/35.43 (assume @p186 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t55) @t114)))) % 35.23/35.43 (assume @p187 (forall @t6 (=> @t161 (=> @t197 (= @t195 @t1))))) % 35.23/35.43 (assume @p188 @t203) % 35.23/35.43 (assume @p189 (forall @t11 (=> @t16 (forall @t75 (=> @t42 (= @t204 (tptp.relation_image @t2 @t114))))))) % 35.23/35.43 (assume @p190 (forall @t21 (=> @t18 (= (tptp.in @t1 @t205) (exists @t58 (and (tptp.in @t34 @t127) (tptp.in (tptp.ordered_pair @t1 @t34) @t17) @t49)))))) % 35.23/35.43 (assume @p191 (forall @t6 (=> @t42 (tptp.subset @t194 @t168)))) % 35.23/35.43 (assume @p192 (forall @t21 (=> @t18 (= (tptp.in @t1 @t206) (and @t173 (tptp.in @t1 @t122)))))) % 35.23/35.43 (assume @p193 (forall @t6 (=> @t42 (not (and @t84 @t197 (= @t194 tptp.empty_set)))))) % 35.23/35.43 (assume @p194 (forall @t21 (=> @t18 (=> @t44 (tptp.subset (tptp.relation_inverse_image @t17 @t1) @t205))))) % 35.23/35.43 (assume @p195 (forall @t6 (=> @t42 (= @t207 (tptp.relation_dom_restriction @t62 @t1))))) % 35.23/35.43 (assume @p196 (forall @t6 (tptp.subset @t30 @t1))) % 35.23/35.43 (assume @p197 (forall @t6 (=> @t42 (= @t207 (tptp.relation_rng_restriction @t1 @t208))))) % 35.23/35.43 (assume @p198 (forall @t21 (=> @t18 (=> (tptp.in @t1 (tptp.relation_field @t206)) (and @t210 @t5))))) % 35.23/35.43 (assume @p199 (forall @t21 (=> (and @t44 @t212) (tptp.subset @t1 @t211)))) % 35.23/35.43 (assume @p200 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 35.23/35.43 (assume @p201 (forall @t6 (=> @t5 @t213))) % 35.23/35.43 (assume @p202 @t216) % 35.23/35.43 (assume @p203 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 35.23/35.43 (assume @p204 (forall @t21 (=> @t18 (=> @t218 (and @t217 (tptp.in @t2 @t127)))))) % 35.23/35.43 (assume @p205 (forall @t6 (=> @t42 (and (tptp.subset @t219 @t126) (tptp.subset @t219 @t1))))) % 35.23/35.43 (assume @p206 (forall @t6 (=> @t161 (forall @t63 (=> @t130 (= @t222 (and @t217 (tptp.in @t220 @t168)))))))) % 35.23/35.43 (assume @p207 (forall @t11 (=> @t13 (forall @t75 (=> @t32 (=> @t8 @t5)))))) % 35.23/35.43 (assume @p208 @t224) % 35.23/35.43 (assume @p209 (forall @t21 (=> @t18 (tptp.subset (tptp.fiber (tptp.relation_restriction @t17 @t1) @t2) (tptp.fiber @t17 @t2))))) % 35.23/35.43 (assume @p210 (forall @t6 (=> @t161 (forall @t63 (=> @t130 (=> @t222 (= (tptp.apply @t221 @t1) (tptp.apply @t2 @t220)))))))) % 35.23/35.43 (assume @p211 (forall @t6 (=> @t42 (=> @t225 (tptp.reflexive @t207))))) % 35.23/35.43 (assume @p212 (forall @t6 (=> @t161 (forall @t63 (=> @t130 (=> (tptp.in @t1 @t168) (= (tptp.apply (tptp.relation_composition @t2 @t17) @t1) (tptp.apply @t17 (tptp.apply @t2 @t1))))))))) % 35.23/35.43 (assume @p213 (forall @t6 (=> @t32 (=> @t5 @t15)))) % 35.23/35.43 (assume @p214 (forall @t6 (=> @t42 (=> @t226 (tptp.connected @t207))))) % 35.23/35.43 (assume @p215 (forall @t11 (=> @t15 (forall @t75 (=> @t32 (not (and @t167 @t136 @t4))))))) % 35.23/35.43 (assume @p216 (forall @t6 (=> @t42 (=> @t227 (tptp.transitive @t207))))) % 35.23/35.43 (assume @p217 (forall @t11 (=> @t16 (forall @t75 (=> @t42 (=> @t44 (and (tptp.subset @t55 @t168) (tptp.subset @t114 @t181)))))))) % 35.23/35.43 (assume @p218 (forall @t6 (=> @t42 (=> @t228 (tptp.antisymmetric @t207))))) % 35.23/35.43 (assume @p219 (forall @t21 (=> @t44 (tptp.subset (tptp.set_intersection2 @t1 @t17) @t211)))) % 35.23/35.43 (assume @p220 (forall @t6 (=> @t44 (= @t30 @t1)))) % 35.23/35.43 (assume @p221 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 35.23/35.43 (assume @p222 (forall @t6 (=> @t213 (or @t88 @t5)))) % 35.23/35.43 (assume @p223 (forall @t6 (=> (forall @t63 (= @t36 @t76)) @t45))) % 35.23/35.43 (assume @p224 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 35.23/35.43 (assume @p225 (forall @t21 (=> @t18 (=> @t218 (and @t210 (tptp.in @t2 @t209)))))) % 35.23/35.43 (assume @p226 (forall @t11 (=> (forall @t75 (=> @t3 (and @t32 @t43))) @t15))) % 35.23/35.43 (assume @p227 (forall @t6 (=> @t42 (=> @t229 (tptp.well_founded_relation @t207))))) % 35.23/35.43 (assume @p228 (forall @t6 (=> @t32 (not (and @t44 @t84 (forall @t63 (=> (tptp.ordinal @t17) (not (and @t36 (forall @t58 (=> (tptp.ordinal @t34) (=> @t83 (tptp.ordinal_subset @t17 @t34))))))))))))) % 35.23/35.43 (assume @p229 (forall @t6 (=> @t42 (=> @t230 (tptp.well_ordering @t207))))) % 35.23/35.43 (assume @p230 (forall @t11 (=> @t15 (forall @t75 (=> @t32 (= @t5 (tptp.ordinal_subset @t74 @t2))))))) % 35.23/35.43 (assume @p231 (forall @t21 (=> @t44 (tptp.subset (tptp.set_difference @t1 @t17) @t177)))) % 35.23/35.43 (assume @p232 (forall @t72 (=> (= @t118 @t37) (and @t179 (= @t2 @t34))))) % 35.23/35.43 (assume @p233 (forall @t6 (=> @t161 (= @t41 (and (= @t168 @t1) (forall @t63 (=> @t36 (= @t231 @t17)))))))) % 35.23/35.43 (assume @p234 (forall @t6 (=> @t3 (= (tptp.apply @t40 @t2) @t2)))) % 35.23/35.43 (assume @p235 (forall @t6 (tptp.subset @t112 @t1))) % 35.23/35.43 (assume @p236 (forall @t11 (=> @t16 (and (= @t114 (tptp.relation_dom @t124)) (= @t55 (tptp.relation_rng @t124)))))) % 35.23/35.43 (assume @p237 (forall @t21 (= (tptp.subset @t27 @t17) (and @t173 @t97)))) % 35.23/35.43 (assume @p238 (forall @t6 (=> @t42 (=> (and @t230 (tptp.subset @t1 @t126)) (= @t219 @t1))))) % 35.23/35.43 (assume @p239 (forall @t6 (= @t232 @t29))) % 35.23/35.43 (assume @p240 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 35.23/35.43 (assume @p241 (forall @t21 (not (and @t5 @t97 @t36)))) % 35.23/35.43 (assume @p242 (forall @t6 (= @t174 @t44))) % 35.23/35.43 (assume @p243 (forall @t6 (and (not (and @t234 (forall @t63 (not @t233)))) (not (and (exists @t63 @t233) @t131))))) % 35.23/35.43 (assume @p244 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t81))) % 35.23/35.43 (assume @p245 (forall @t6 (= (tptp.set_difference @t29 @t2) @t112))) % 35.23/35.43 (assume @p246 (forall @t11 (=> @t15 (= @t121 (forall @t75 (=> @t32 (=> @t3 (tptp.in @t235 @t1)))))))) % 35.23/35.43 (assume @p247 (forall @t11 (=> @t15 (and (not (and (not @t121) (forall @t75 (=> @t32 (not @t236))))) (not (and (exists @t75 (and @t32 @t236)) @t121)))))) % 35.23/35.43 (assume @p248 (forall @t6 (=> @t117 (forall @t63 (=> @t145 (= @t238 (tptp.subset @t2 @t237))))))) % 35.23/35.43 (assume @p249 (forall @t11 (=> @t16 (forall @t75 (=> @t42 (tptp.subset @t239 @t55)))))) % 35.23/35.43 (assume @p250 (forall @t11 (=> @t16 (forall @t75 (=> @t42 (tptp.subset @t204 @t181)))))) % 35.23/35.43 (assume @p251 (forall @t6 (=> @t44 (= @t2 @t232)))) % 35.23/35.43 (assume @p252 (forall @t11 (=> @t16 (forall @t75 (=> @t42 (=> (tptp.subset @t114 @t168) (= @t239 @t55))))))) % 35.23/35.43 (assume @p253 (forall @t6 (=> @t135 (not (and @t91 (= @t133 tptp.empty_set)))))) % 35.23/35.43 (assume @p254 (forall @t11 (=> @t16 (forall @t75 (=> @t42 (=> (tptp.subset @t55 @t181) (= (tptp.relation_rng @t151) @t114))))))) % 35.23/35.43 (assume @p255 (forall @t6 (=> @t135 (=> @t91 (= (tptp.subset_difference @t1 @t108 @t141) (tptp.meet_of_subsets @t1 @t133)))))) % 35.23/35.43 (assume @p256 (forall @t6 (=> @t135 (=> @t91 (= (tptp.union_of_subsets @t1 @t133) (tptp.subset_difference @t1 @t108 @t143)))))) % 35.23/35.43 (assume @p257 (forall @t6 (= (tptp.set_difference @t1 @t112) @t30))) % 35.23/35.43 (assume @p258 (forall @t11 (=> @t16 (forall @t75 (=> @t42 (forall @t63 (=> @t130 (=> @t129 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t17)))))))))) % 35.23/35.43 (assume @p259 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 35.23/35.43 (assume @p260 (forall @t21 (=> (and @t5 @t240) (tptp.element @t1 @t17)))) % 35.23/35.43 (assume @p261 (forall @t6 (and (not (and @t234 (forall @t63 (not @t241)))) (not (and (exists @t63 @t241) @t131))))) % 35.23/35.43 (assume @p262 (forall @t11 (=> @t84 (forall @t75 (=> @t117 (forall @t63 (=> (tptp.element @t17 @t1) (=> @t94 (tptp.in @t17 @t116))))))))) % 35.23/35.43 (assume @p263 (forall @t11 (=> @t16 (forall @t75 (=> @t42 (forall @t63 (=> @t130 (=> @t129 (and (=> @t110 @t225) (=> @t70 @t227) (=> @t69 @t226) (=> @t65 @t228) (=> @t92 @t229)))))))))) % 35.23/35.43 (assume @p264 (forall @t11 (=> @t60 (=> @t23 (forall @t75 (=> @t161 (= (= @t2 @t137) (and (= @t168 @t114) (forall @t39 (and (=> @t242 @t113) (=> @t113 @t242))))))))))) % 35.23/35.43 (assume @p265 (forall @t21 (=> @t145 (not (and (tptp.in @t2 @t237) @t97))))) % 35.23/35.43 (assume @p266 (forall @t11 (=> @t16 (forall @t75 (=> @t42 (forall @t63 (=> @t130 (=> (and @t111 @t129) @t230)))))))) % 35.23/35.43 (assume @p267 (forall @t11 (=> @t60 (=> @t23 (and (= @t114 (tptp.relation_dom @t137)) (= @t55 (tptp.relation_rng @t137))))))) % 35.23/35.43 (assume @p268 (forall @t11 (=> @t16 (=> (forall @t53 @t170) @t81)))) % 35.23/35.43 (assume @p269 (forall @t6 (=> @t161 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t181)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t243 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t243 @t2) @t1))))))) % 35.23/35.43 (assume @p270 (forall @t21 (not (and @t5 @t240 (tptp.empty @t17))))) % 35.23/35.43 (assume @p271 (forall @t11 (=> @t16 (= @t92 (tptp.is_well_founded_in @t1 @t64))))) % 35.23/35.43 (assume @p272 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 35.23/35.43 (assume @p273 (forall @t6 (not (and @t44 @t7)))) % 35.23/35.43 (assume @p274 (forall @t11 (=> @t60 (=> @t23 (tptp.one_to_one @t137))))) % 35.23/35.43 (assume @p275 (forall @t21 (=> (and @t44 @t238) (tptp.disjoint @t1 @t17)))) % 35.23/35.43 (assume @p276 (forall @t11 (=> @t16 (=> (or @t245 @t244) @t81)))) % 35.23/35.43 (assume @p277 (forall @t11 (=> @t16 (= @t245 @t244)))) % 35.23/35.43 (assume @p278 (forall @t6 (= (= (tptp.set_difference @t1 @t171) @t1) @t4))) % 35.23/35.43 (assume @p279 (forall @t6 (=> @t161 (forall @t63 (=> @t130 (= (= @t2 @t175) (and (= @t168 (tptp.set_intersection2 @t128 @t1)) (forall @t58 (=> (tptp.in @t34 @t168) (= (tptp.apply @t2 @t34) @t125)))))))))) % 35.23/35.43 (assume @p280 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t73))) % 35.23/35.43 (assume @p281 (forall @t11 (=> @t10 @t81))) % 35.23/35.43 (assume @p282 (forall @t6 (=> (tptp.subset @t73 @t171) @t45))) % 35.23/35.43 (assume @p283 (forall @t21 (=> @t130 (=> @t176 @t246)))) % 35.23/35.43 (assume @p284 (forall @t11 (and (= (tptp.relation_dom @t40) @t1) (= (tptp.relation_rng @t40) @t1)))) % 35.23/35.43 (assume @p285 (forall @t21 (=> @t130 (=> @t3 @t246)))) % 35.23/35.43 (assume @p286 (forall @t72 (=> (tptp.relation @t34) (= (tptp.in @t118 (tptp.relation_composition (tptp.identity_relation @t17) @t34)) (and @t173 (tptp.in @t118 @t34)))))) % 35.23/35.43 (assume @p287 (forall @t6 (not (and @t5 @t88)))) % 35.23/35.43 (assume @p288 (forall @t6 (not (and @t5 (forall @t63 (not (and @t76 (forall @t58 (not (and @t49 @t57)))))))))) % 35.23/35.43 (assume @p289 (forall @t6 (tptp.subset @t1 @t29))) % 35.23/35.43 (assume @p290 (forall @t6 (= @t131 (= @t112 @t1)))) % 35.23/35.43 (assume @p291 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_dom @t192)) (and @t5 @t217))))) % 35.23/35.43 (assume @p292 (forall @t6 (=> @t42 (tptp.subset @t208 @t2)))) % 35.23/35.43 (assume @p293 (forall @t6 (not (and @t10 @t136 @t88)))) % 35.23/35.43 (assume @p294 (forall @t21 (=> @t130 (= @t218 (and @t217 (= @t2 @t220)))))) % 35.23/35.43 (assume @p295 (forall @t11 (=> @t16 (= (tptp.well_orders @t1 @t64) @t111)))) % 35.23/35.43 (assume @p296 (forall @t21 (=> (and @t44 @t100) (tptp.subset (tptp.set_union2 @t1 @t17) @t2)))) % 35.23/35.43 (assume @p297 (forall @t21 (=> @t247 @t45))) % 35.23/35.43 (assume @p298 (forall @t6 (=> @t42 (= (tptp.relation_dom @t208) @t196)))) % 35.23/35.43 (assume @p299 (forall @t6 (=> @t42 (= @t208 (tptp.relation_composition @t40 @t2))))) % 35.23/35.43 (assume @p300 (forall @t6 (=> @t42 (tptp.subset (tptp.relation_rng @t208) @t181)))) % 35.23/35.43 (assume @p301 (forall @t11 (= (tptp.union @t86) @t1))) % 35.23/35.43 (assume @p302 (forall @t11 (exists @t75 (and @t5 @t191 (forall @t63 (not (and @t76 (forall @t58 (not (and @t49 (forall @t56 (=> (tptp.subset @t46 @t17) @t71)))))))) @t189)))) % 35.23/35.43 (assume @p303 (forall @t21 (=> @t247 @t95))) % 35.23/35.43 (step @p304 :rule aci_norm :args ((= (or (or @t249 @t248) @t212) @t250))) % 35.23/35.43 (step @p305 :rule refl :args (@t212)) % 35.23/35.43 (step @p306 :rule bool-and-de-morgan :args (@t44 @t214 true)) % 35.23/35.43 (step @p307 :rule nary_cong :premises (@p306 @p305) :args ((or (not @t215) @t212))) % 35.23/35.43 (step @p308 :rule trans :premises (@p307 @p304)) % 35.23/35.43 (step @p309 :rule bool-impl-elim :args (@t215 @t212)) % 35.23/35.43 (step @p310 :rule trans :premises (@p309 @p308)) % 35.23/35.43 (step @p311 :rule cong :premises (@p310) :args (@t216)) % 35.23/35.43 (step @p312 :rule eq_resolve :premises (@p202 @p311)) % 35.23/35.43 (step @p313 :rule aci_norm :args ((= (or (or @t249 @t251) @t183) (or @t249 @t251 @t183)))) % 35.23/35.43 (step @p314 :rule refl :args (@t183)) % 35.23/35.43 (step @p315 :rule bool-and-de-morgan :args (@t44 @t184 true)) % 35.23/35.43 (step @p316 :rule nary_cong :premises (@p315 @p314) :args ((or (not @t185) @t183))) % 35.23/35.43 (step @p317 :rule trans :premises (@p316 @p313)) % 35.23/35.43 (step @p318 :rule bool-impl-elim :args (@t185 @t183)) % 35.23/35.43 (step @p319 :rule trans :premises (@p318 @p317)) % 35.23/35.43 (step @p320 :rule cong :premises (@p319) :args (@t186)) % 35.23/35.43 (step @p321 :rule eq_resolve :premises (@p176 @p320)) % 35.23/35.43 (step @p322 :rule instantiate :premises (@p321) :args ((@list @t260 @t259 @t258 @t256))) % 35.23/35.43 (step @p323 :rule bool-impl-elim :args (@t149 @t187)) % 35.23/35.43 (step @p324 :rule cong :premises (@p323) :args (@t188)) % 35.23/35.43 (step @p325 :rule eq_resolve :premises (@p177 @p324)) % 35.23/35.43 (step @p326 :rule instantiate :premises (@p325) :args (@t262)) % 35.23/35.43 (step @p327 :rule aci_norm :args ((= (or @t253 (or @t252 @t198)) @t254))) % 35.23/35.43 (step @p328 :rule bool-impl-elim :args (@t199 @t198)) % 35.23/35.43 (step @p329 :rule refl :args (@t253)) % 35.23/35.43 (step @p330 :rule nary_cong :premises (@p329 @p328) :args ((or @t253 @t200))) % 35.23/35.43 (step @p331 :rule trans :premises (@p330 @p327)) % 35.23/35.43 (step @p332 :rule bool-impl-elim :args (@t201 @t200)) % 35.23/35.43 (step @p333 :rule trans :premises (@p332 @p331)) % 35.23/35.43 (step @p334 :rule cong :premises (@p333) :args (@t202)) % 35.23/35.43 (step @p335 :rule cong :premises (@p334) :args (@t203)) % 35.23/35.43 (step @p336 :rule eq_resolve :premises (@p188 @p335)) % 35.23/35.43 (step @p337 :rule skolemize :premises (@p336)) % 35.23/35.43 (step @p338 :rule bool-double-not-elim :args (@t263)) % 35.23/35.43 (step @p339 :rule refl :args (@t268)) % 35.23/35.43 (step @p340 :rule nary_cong :premises (@p339 @p338) :args ((or @t268 (not @t267)))) % 35.23/35.43 (step @p341 :rule cnf_or_neg :args (@t268 0)) % 35.23/35.43 (step @p342 :rule eq_resolve :premises (@p341 @p340)) % 35.23/35.43 (step @p343 :rule reordering :premises (@p342) :args ((or @t263 @t268))) % 35.23/35.43 (step @p344 :rule chain_m_resolution :premises (@p343 @p337) :args (@t263 @t269 @t270)) % 35.23/35.43 (step @p345 :rule cnf_or_pos :args (@t273)) % 35.23/35.43 (step @p346 :rule reordering :premises (@p345) :args ((or @t267 @t272 (not @t273)))) % 35.23/35.43 (step @p347 :rule chain_m_resolution :premises (@p346 @p344 @p326) :args (@t272 @t274 (@list @t263 @t273))) % 35.23/35.43 (step @p348 :rule cnf_and_pos :args (@t272 0)) % 35.23/35.43 (step @p349 :rule reordering :premises (@p348) :args ((or @t271 (not @t272)))) % 35.23/35.43 (step @p350 :rule chain_m_resolution :premises (@p349 @p347) :args (@t271 @t275 (@list @t272))) % 35.23/35.43 (step @p351 :rule bool-double-not-elim :args (@t265)) % 35.23/35.43 (step @p352 :rule nary_cong :premises (@p339 @p351) :args ((or @t268 (not @t266)))) % 35.23/35.43 (step @p353 :rule cnf_or_neg :args (@t268 1)) % 35.23/35.43 (step @p354 :rule eq_resolve :premises (@p353 @p352)) % 35.23/35.43 (step @p355 :rule reordering :premises (@p354) :args ((or @t265 @t268))) % 35.23/35.43 (step @p356 :rule chain_m_resolution :premises (@p355 @p337) :args (@t265 @t269 @t270)) % 35.23/35.43 (step @p357 :rule cnf_or_pos :args (@t280)) % 35.23/35.43 (step @p358 :rule reordering :premises (@p357) :args ((or @t266 @t279 @t278 (not @t280)))) % 35.23/35.43 (step @p359 :rule chain_m_resolution :premises (@p358 @p356 @p350 @p322) :args (@t278 (@list false false false) (@list @t265 @t271 @t280))) % 35.23/35.43 (step @p360 :rule instantiate :premises (@p29) :args (@t281)) % 35.23/35.43 (step @p361 :rule eq-symm :args (@t149 @t78)) % 35.23/35.43 (step @p362 :rule cong :premises (@p361) :args (@t178)) % 35.23/35.43 (step @p363 :rule eq_resolve :premises (@p163 @p362)) % 35.23/35.43 (step @p364 :rule eq-symm :args (@t282 @t264)) % 35.23/35.43 (step @p365 :rule refl :args (@t283)) % 35.23/35.43 (step @p366 :rule cong :premises (@p365 @p364) :args ((=> @t283 @t284))) % 35.23/35.43 (assume-push @p412 @t283) % 35.23/35.43 (step @p368 :rule instantiate :premises (@p363) :args (@t281)) % 35.23/35.43 (step-pop @p413 :rule scope :premises (@p368)) % 35.23/35.43 (step @p369 :rule process_scope :premises (@p413) :args (@t284)) % 35.23/35.43 (step @p371 :rule eq_resolve :premises (@p369 @p366)) % 35.23/35.43 (step @p372 :rule implies_elim :premises (@p371)) % 35.23/35.43 (step @p373 :rule chain_m_resolution :premises (@p372 @p363) :args (@t285 @t275 (@list @t283))) % 35.23/35.43 (step @p374 :rule cnf_or_neg :args (@t268 2)) % 35.23/35.43 (step @p375 :rule chain_m_resolution :premises (@p374 @p337) :args ((not @t264) @t269 @t270)) % 35.23/35.43 (step @p376 :rule cnf_equiv_pos2 :args (@t285)) % 35.23/35.43 (step @p377 :rule reordering :premises (@p376) :args ((or @t264 @t286 (not @t285)))) % 35.23/35.43 (step @p378 :rule chain_m_resolution :premises (@p377 @p375 @p373) :args (@t286 @t287 (@list @t264 @t285))) % 35.23/35.43 (step @p379 :rule cnf_equiv_pos2 :args (@t289)) % 35.23/35.43 (step @p380 :rule reordering :premises (@p379) :args ((or @t282 @t290 (not @t289)))) % 35.23/35.43 (step @p381 :rule chain_m_resolution :premises (@p380 @p378 @p360) :args (@t290 @t287 (@list @t282 @t289))) % 35.23/35.43 (step @p382 :rule bool-impl-elim :args (@t16 @t223)) % 35.23/35.43 (step @p383 :rule cong :premises (@p382) :args (@t224)) % 35.23/35.43 (step @p384 :rule eq_resolve :premises (@p208 @p383)) % 35.23/35.43 (step @p385 :rule instantiate :premises (@p384) :args ((@list @t257))) % 35.23/35.43 (step @p386 :rule bool-impl-elim :args (@t20 @t18)) % 35.23/35.43 (step @p387 :rule cong :premises (@p386) :args (@t22)) % 35.23/35.43 (step @p388 :rule eq_resolve :premises (@p6 @p387)) % 35.23/35.43 (step @p389 :rule instantiate :premises (@p388) :args (@t262)) % 35.23/35.43 (step @p390 :rule bool-impl-elim :args (@t149 @t20)) % 35.23/35.43 (step @p391 :rule cong :premises (@p390) :args (@t150)) % 35.23/35.43 (step @p392 :rule eq_resolve :premises (@p88 @p391)) % 35.23/35.43 (step @p393 :rule instantiate :premises (@p392) :args (@t262)) % 35.23/35.43 (step @p394 :rule cnf_or_pos :args (@t292)) % 35.23/35.43 (step @p395 :rule reordering :premises (@p394) :args ((or @t267 @t291 (not @t292)))) % 35.23/35.43 (step @p396 :rule chain_m_resolution :premises (@p395 @p344 @p393) :args (@t291 @t274 (@list @t263 @t292))) % 35.23/35.43 (step @p397 :rule cnf_or_pos :args (@t295)) % 35.23/35.43 (step @p398 :rule reordering :premises (@p397) :args ((or @t293 @t294 (not @t295)))) % 35.23/35.43 (step @p399 :rule chain_m_resolution :premises (@p398 @p396 @p389) :args (@t293 @t274 (@list @t291 @t295))) % 35.23/35.43 (step @p400 :rule cnf_or_pos :args (@t298)) % 35.23/35.43 (step @p401 :rule reordering :premises (@p400) :args ((or @t297 @t296 (not @t298)))) % 35.23/35.43 (step @p402 :rule chain_m_resolution :premises (@p401 @p399 @p385) :args (@t296 @t274 (@list @t293 @t298))) % 35.23/35.43 (step @p403 :rule cnf_or_pos :args (@t301)) % 35.23/35.43 (step @p404 :rule reordering :premises (@p403) :args ((or @t300 @t288 @t299 @t302))) % 35.23/35.43 (step @p405 :rule chain_m_resolution :premises (@p404 @p402 @p381 @p359) :args (@t302 (@list false true false) (@list @t296 @t288 @t278))) % 35.23/35.43 (assume-push @p414 @t303) % 35.23/35.43 (step @p407 :rule instantiate :premises (@p312) :args ((@list @t257 @t277 @t276))) % 35.23/35.43 (step-pop @p415 :rule scope :premises (@p407)) % 35.23/35.43 (step @p408 :rule process_scope :premises (@p415) :args (@t301)) % 35.23/35.43 (step @p410 :rule implies_elim :premises (@p408)) % 35.23/35.43 (step @p411 false :rule chain_m_resolution :premises (@p410 @p405 @p312) :args (false @t287 (@list @t301 @t303))) % 35.23/35.43 ) % 35.23/35.43 % SZS output end Proof % 35.23/35.43 % cvc5 exiting %------------------------------------------------------------------------------