%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU255+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 : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:09 AM UTC 2026 % Result : Theorem 1.32s 1.56s % Output : Proof 1.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU255+2 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n024.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 11:48:00 EDT 2026 % 0.06/0.25 % CPUTime : % 0.15/0.36 %----Proving TF0_NAR, FOF, or CNF % 1.32/1.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.32/1.56 % SZS status Theorem % 1.32/1.56 % SZS output start Proof % 1.32/1.56 ( % 1.32/1.56 (declare-sort $$unsorted 0) % 1.32/1.56 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.connected (-> $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.empty_set $$unsorted) % 1.32/1.56 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.empty (-> $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.function (-> $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.transitive (-> $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.relation (-> $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 1.32/1.56 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.56 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.56 (define @t1 () (@var "A" $$unsorted)) % 1.32/1.56 (define @t2 () (@var "B" $$unsorted)) % 1.32/1.56 (define @t3 () (tptp.in @t2 @t1)) % 1.32/1.56 (define @t4 () (not @t3)) % 1.32/1.56 (define @t5 () (tptp.in @t1 @t2)) % 1.32/1.56 (define @t6 () (@list @t1 @t2)) % 1.32/1.56 (define @t7 () (tptp.proper_subset @t2 @t1)) % 1.32/1.56 (define @t8 () (tptp.proper_subset @t1 @t2)) % 1.32/1.56 (define @t9 () (tptp.function @t1)) % 1.32/1.56 (define @t10 () (tptp.empty @t1)) % 1.32/1.56 (define @t11 () (@list @t1)) % 1.32/1.56 (define @t12 () (tptp.epsilon_connected @t1)) % 1.32/1.56 (define @t13 () (tptp.epsilon_transitive @t1)) % 1.32/1.56 (define @t14 () (and @t13 @t12)) % 1.32/1.56 (define @t15 () (tptp.ordinal @t1)) % 1.32/1.56 (define @t16 () (tptp.relation @t1)) % 1.32/1.56 (define @t17 () (tptp.one_to_one @t1)) % 1.32/1.56 (define @t18 () (and @t16 @t9 @t17)) % 1.32/1.56 (define @t19 () (and @t16 @t10 @t9)) % 1.32/1.56 (define @t20 () (and @t13 @t12 @t15)) % 1.32/1.56 (define @t21 () (tptp.unordered_pair @t1 @t2)) % 1.32/1.56 (define @t22 () (tptp.set_union2 @t2 @t1)) % 1.32/1.56 (define @t23 () (tptp.set_union2 @t1 @t2)) % 1.32/1.56 (define @t24 () (tptp.set_intersection2 @t1 @t2)) % 1.32/1.56 (define @t25 () (tptp.ordinal_subset @t1 @t2)) % 1.32/1.56 (define @t26 () (tptp.ordinal @t2)) % 1.32/1.56 (define @t27 () (and @t15 @t26)) % 1.32/1.56 (define @t28 () (@var "D" $$unsorted)) % 1.32/1.56 (define @t29 () (@var "C" $$unsorted)) % 1.32/1.56 (define @t30 () (= @t29 @t28)) % 1.32/1.56 (define @t31 () (tptp.in @t29 @t1)) % 1.32/1.56 (define @t32 () (tptp.ordered_pair @t29 @t28)) % 1.32/1.56 (define @t33 () (tptp.in @t32 @t2)) % 1.32/1.56 (define @t34 () (@list @t29 @t28)) % 1.32/1.56 (define @t35 () (tptp.identity_relation @t1)) % 1.32/1.56 (define @t36 () (= @t2 @t35)) % 1.32/1.56 (define @t37 () (tptp.relation @t2)) % 1.32/1.56 (define @t38 () (tptp.subset @t2 @t1)) % 1.32/1.56 (define @t39 () (tptp.subset @t1 @t2)) % 1.32/1.56 (define @t40 () (= @t1 @t2)) % 1.32/1.56 (define @t41 () (@var "E" $$unsorted)) % 1.32/1.56 (define @t42 () (tptp.ordered_pair @t28 @t41)) % 1.32/1.56 (define @t43 () (tptp.in @t42 @t1)) % 1.32/1.56 (define @t44 () (tptp.in @t28 @t2)) % 1.32/1.56 (define @t45 () (tptp.in @t42 @t29)) % 1.32/1.56 (define @t46 () (@list @t28 @t41)) % 1.32/1.56 (define @t47 () (tptp.relation_dom_restriction @t1 @t2)) % 1.32/1.56 (define @t48 () (tptp.relation @t29)) % 1.32/1.56 (define @t49 () (@list @t2 @t29)) % 1.32/1.56 (define @t50 () (tptp.in @t41 @t2)) % 1.32/1.56 (define @t51 () (tptp.relation_dom @t1)) % 1.32/1.56 (define @t52 () (@list @t41)) % 1.32/1.56 (define @t53 () (tptp.in @t28 @t29)) % 1.32/1.56 (define @t54 () (@list @t28)) % 1.32/1.56 (define @t55 () (= @t29 (tptp.relation_image @t1 @t2))) % 1.32/1.56 (define @t56 () (and @t16 @t9)) % 1.32/1.56 (define @t57 () (tptp.in @t41 @t1)) % 1.32/1.56 (define @t58 () (tptp.relation_rng_restriction @t1 @t2)) % 1.32/1.56 (define @t59 () (@list @t29)) % 1.32/1.56 (define @t60 () (tptp.relation_field @t1)) % 1.32/1.56 (define @t61 () (tptp.antisymmetric @t1)) % 1.32/1.56 (define @t62 () (tptp.apply @t1 @t28)) % 1.32/1.56 (define @t63 () (tptp.in @t28 @t51)) % 1.32/1.56 (define @t64 () (= @t29 (tptp.relation_inverse_image @t1 @t2))) % 1.32/1.56 (define @t65 () (tptp.connected @t1)) % 1.32/1.56 (define @t66 () (tptp.transitive @t1)) % 1.32/1.56 (define @t67 () (tptp.in @t41 @t28)) % 1.32/1.56 (define @t68 () (@list @t1 @t2 @t29 @t28)) % 1.32/1.56 (define @t69 () (tptp.singleton @t1)) % 1.32/1.56 (define @t70 () (tptp.succ @t1)) % 1.32/1.56 (define @t71 () (@list @t2)) % 1.32/1.56 (define @t72 () (tptp.in @t29 @t2)) % 1.32/1.56 (define @t73 () (tptp.is_reflexive_in @t1 @t2)) % 1.32/1.56 (define @t74 () (= @t2 tptp.empty_set)) % 1.32/1.56 (define @t75 () (= @t2 (tptp.set_meet @t1))) % 1.32/1.56 (define @t76 () (= @t1 tptp.empty_set)) % 1.32/1.56 (define @t77 () (tptp.in @t29 @t28)) % 1.32/1.56 (define @t78 () (tptp.in @t28 @t1)) % 1.32/1.56 (define @t79 () (not @t76)) % 1.32/1.56 (define @t80 () (= @t28 @t2)) % 1.32/1.56 (define @t81 () (tptp.powerset @t1)) % 1.32/1.56 (define @t82 () (tptp.in @t32 @t1)) % 1.32/1.56 (define @t83 () (tptp.empty @t2)) % 1.32/1.56 (define @t84 () (tptp.element @t2 @t1)) % 1.32/1.56 (define @t85 () (not @t10)) % 1.32/1.56 (define @t86 () (@list @t1 @t2 @t29)) % 1.32/1.56 (define @t87 () (not @t74)) % 1.32/1.56 (define @t88 () (tptp.well_founded_relation @t1)) % 1.32/1.56 (define @t89 () (@var "F" $$unsorted)) % 1.32/1.56 (define @t90 () (tptp.cartesian_product2 @t1 @t2)) % 1.32/1.56 (define @t91 () (not @t72)) % 1.32/1.56 (define @t92 () (= @t2 @t29)) % 1.32/1.56 (define @t93 () (not @t92)) % 1.32/1.56 (define @t94 () (tptp.in @t2 @t29)) % 1.32/1.56 (define @t95 () (forall @t59 (=> @t31 @t72))) % 1.32/1.56 (define @t96 () (= @t29 tptp.empty_set)) % 1.32/1.56 (define @t97 () (tptp.subset @t29 @t2)) % 1.32/1.56 (define @t98 () (tptp.is_well_founded_in @t1 @t2)) % 1.32/1.56 (define @t99 () (tptp.apply @t1 @t2)) % 1.32/1.56 (define @t100 () (= @t29 @t99)) % 1.32/1.56 (define @t101 () (tptp.in @t2 @t51)) % 1.32/1.56 (define @t102 () (tptp.ordered_pair @t2 @t29)) % 1.32/1.56 (define @t103 () (tptp.in @t102 @t1)) % 1.32/1.56 (define @t104 () (tptp.in (tptp.ordered_pair @t28 @t29) @t1)) % 1.32/1.56 (define @t105 () (tptp.is_antisymmetric_in @t1 @t2)) % 1.32/1.56 (define @t106 () (tptp.cast_to_subset @t1)) % 1.32/1.56 (define @t107 () (tptp.union @t1)) % 1.32/1.56 (define @t108 () (tptp.reflexive @t1)) % 1.32/1.56 (define @t109 () (tptp.well_ordering @t1)) % 1.32/1.56 (define @t110 () (tptp.set_difference @t1 @t2)) % 1.32/1.56 (define @t111 () (and @t63 (= @t29 @t62))) % 1.32/1.56 (define @t112 () (tptp.relation_rng @t1)) % 1.32/1.56 (define @t113 () (= @t2 @t112)) % 1.32/1.56 (define @t114 () (tptp.subset_complement @t1 @t2)) % 1.32/1.56 (define @t115 () (tptp.element @t2 @t81)) % 1.32/1.56 (define @t116 () (tptp.ordered_pair @t1 @t2)) % 1.32/1.56 (define @t117 () (tptp.is_connected_in @t1 @t2)) % 1.32/1.56 (define @t118 () (tptp.is_transitive_in @t1 @t2)) % 1.32/1.56 (define @t119 () (tptp.being_limit_ordinal @t1)) % 1.32/1.56 (define @t120 () (tptp.cartesian_product2 @t2 @t2)) % 1.32/1.56 (define @t121 () (tptp.relation_restriction @t1 @t2)) % 1.32/1.56 (define @t122 () (tptp.relation_inverse @t1)) % 1.32/1.56 (define @t123 () (tptp.disjoint @t1 @t2)) % 1.32/1.56 (define @t124 () (tptp.relation_composition @t1 @t2)) % 1.32/1.56 (define @t125 () (tptp.complements_of_subsets @t1 @t2)) % 1.32/1.56 (define @t126 () (tptp.powerset @t81)) % 1.32/1.56 (define @t127 () (tptp.element @t2 @t126)) % 1.32/1.56 (define @t128 () (not @t40)) % 1.32/1.56 (define @t129 () (tptp.function_inverse @t1)) % 1.32/1.56 (define @t130 () (tptp.relation @t121)) % 1.32/1.56 (define @t131 () (forall @t6 (=> @t16 @t130))) % 1.32/1.56 (define @t132 () (tptp.relation @t122)) % 1.32/1.56 (define @t133 () (tptp.relation @t124)) % 1.32/1.56 (define @t134 () (and @t16 @t37)) % 1.32/1.56 (define @t135 () (tptp.union_of_subsets @t1 @t2)) % 1.32/1.56 (define @t136 () (tptp.relation @t35)) % 1.32/1.56 (define @t137 () (tptp.meet_of_subsets @t1 @t2)) % 1.32/1.56 (define @t138 () (tptp.subset_difference @t1 @t2 @t29)) % 1.32/1.56 (define @t139 () (tptp.element @t29 @t81)) % 1.32/1.56 (define @t140 () (and @t115 @t139)) % 1.32/1.56 (define @t141 () (tptp.relation @t47)) % 1.32/1.56 (define @t142 () (tptp.relation @t58)) % 1.32/1.56 (define @t143 () (tptp.relation_composition @t2 @t1)) % 1.32/1.56 (define @t144 () (and @t10 @t37)) % 1.32/1.56 (define @t145 () (tptp.relation_empty_yielding tptp.empty_set)) % 1.32/1.56 (define @t146 () (tptp.relation tptp.empty_set)) % 1.32/1.56 (define @t147 () (tptp.empty tptp.empty_set)) % 1.32/1.56 (define @t148 () (tptp.relation_empty_yielding @t1)) % 1.32/1.56 (define @t149 () (and @t16 @t148)) % 1.32/1.56 (define @t150 () (tptp.function @t2)) % 1.32/1.56 (define @t151 () (not (tptp.empty @t70))) % 1.32/1.56 (define @t152 () (not @t83)) % 1.32/1.56 (define @t153 () (and @t37 @t150)) % 1.32/1.56 (define @t154 () (tptp.empty @t51)) % 1.32/1.56 (define @t155 () (and @t85 @t16)) % 1.32/1.56 (define @t156 () (tptp.empty @t112)) % 1.32/1.56 (define @t157 () (tptp.in @t2 @t60)) % 1.32/1.56 (define @t158 () (tptp.disjoint @t69 @t2)) % 1.32/1.56 (define @t159 () (not @t5)) % 1.32/1.56 (define @t160 () (tptp.relation_dom @t2)) % 1.32/1.56 (define @t161 () (tptp.ordered_pair @t29 @t2)) % 1.32/1.56 (define @t162 () (tptp.in @t161 @t1)) % 1.32/1.56 (define @t163 () (and @t103 @t162)) % 1.32/1.56 (define @t164 () (forall @t49 (=> @t163 @t92))) % 1.32/1.56 (define @t165 () (= @t61 @t164)) % 1.32/1.56 (define @t166 () (=> @t16 @t165)) % 1.32/1.56 (define @t167 () (forall @t11 @t166)) % 1.32/1.56 (define @t168 () (not @t162)) % 1.32/1.56 (define @t169 () (not @t103)) % 1.32/1.56 (define @t170 () (tptp.singleton @t2)) % 1.32/1.56 (define @t171 () (tptp.union @t2)) % 1.32/1.56 (define @t172 () (tptp.in @t1 @t29)) % 1.32/1.56 (define @t173 () (tptp.element @t1 (tptp.powerset @t2))) % 1.32/1.56 (define @t174 () (tptp.relation_dom @t29)) % 1.32/1.56 (define @t175 () (tptp.relation_dom_restriction @t29 @t1)) % 1.32/1.56 (define @t176 () (tptp.in @t2 (tptp.relation_dom @t175))) % 1.32/1.56 (define @t177 () (and @t48 (tptp.function @t29))) % 1.32/1.56 (define @t178 () (tptp.set_difference @t2 @t29)) % 1.32/1.56 (define @t179 () (= @t1 @t29)) % 1.32/1.56 (define @t180 () (tptp.relation_rng @t29)) % 1.32/1.56 (define @t181 () (tptp.relation_rng @t58)) % 1.32/1.56 (define @t182 () (tptp.relation_rng @t2)) % 1.32/1.56 (define @t183 () (tptp.cartesian_product2 @t1 @t29)) % 1.32/1.56 (define @t184 () (forall @t59 (not (and @t97 (not (tptp.are_equipotent @t29 @t2)) @t91)))) % 1.32/1.56 (define @t185 () (tptp.powerset @t29)) % 1.32/1.56 (define @t186 () (forall @t34 (=> (and @t72 (tptp.subset @t28 @t29)) @t44))) % 1.32/1.56 (define @t187 () (tptp.relation_dom_restriction @t29 @t2)) % 1.32/1.56 (define @t188 () (tptp.relation_image @t2 @t1)) % 1.32/1.56 (define @t189 () (tptp.relation_inverse_image @t2 @t1)) % 1.32/1.56 (define @t190 () (tptp.relation_image @t2 @t189)) % 1.32/1.56 (define @t191 () (tptp.set_intersection2 @t160 @t1)) % 1.32/1.56 (define @t192 () (tptp.subset @t1 @t182)) % 1.32/1.56 (define @t193 () (tptp.relation_rng @t124)) % 1.32/1.56 (define @t194 () (tptp.relation_inverse_image @t29 @t2)) % 1.32/1.56 (define @t195 () (tptp.relation_restriction @t29 @t2)) % 1.32/1.56 (define @t196 () (= (tptp.in @t1 @t195) (and @t172 (tptp.in @t1 @t120)))) % 1.32/1.56 (define @t197 () (forall @t86 (=> @t48 @t196))) % 1.32/1.56 (define @t198 () (tptp.relation_restriction @t2 @t1)) % 1.32/1.56 (define @t199 () (tptp.relation_dom_restriction @t2 @t1)) % 1.32/1.56 (define @t200 () (tptp.relation_field @t29)) % 1.32/1.56 (define @t201 () (tptp.in @t1 @t200)) % 1.32/1.56 (define @t202 () (tptp.set_intersection2 @t2 @t29)) % 1.32/1.56 (define @t203 () (tptp.subset @t1 @t29)) % 1.32/1.56 (define @t204 () (tptp.element @t1 @t2)) % 1.32/1.56 (define @t205 () (tptp.in @t1 @t174)) % 1.32/1.56 (define @t206 () (tptp.in @t116 @t29)) % 1.32/1.56 (define @t207 () (tptp.relation_field @t198)) % 1.32/1.56 (define @t208 () (tptp.apply @t29 @t1)) % 1.32/1.56 (define @t209 () (tptp.relation_composition @t29 @t2)) % 1.32/1.56 (define @t210 () (tptp.in @t1 (tptp.relation_dom @t209))) % 1.32/1.56 (define @t211 () (tptp.antisymmetric @t198)) % 1.32/1.56 (define @t212 () (tptp.antisymmetric @t2)) % 1.32/1.56 (define @t213 () (=> @t212 @t211)) % 1.32/1.56 (define @t214 () (forall @t6 (=> @t37 @t213))) % 1.32/1.56 (define @t215 () (not @t214)) % 1.32/1.56 (define @t216 () (tptp.apply @t2 @t29)) % 1.32/1.56 (define @t217 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 1.32/1.56 (define @t218 () (and @t31 @t72)) % 1.32/1.56 (define @t219 () (not @t123)) % 1.32/1.56 (define @t220 () (tptp.succ @t2)) % 1.32/1.56 (define @t221 () (= @t1 @t220)) % 1.32/1.56 (define @t222 () (tptp.subset_complement @t1 @t29)) % 1.32/1.56 (define @t223 () (tptp.disjoint @t2 @t29)) % 1.32/1.56 (define @t224 () (tptp.relation_dom @t124)) % 1.32/1.56 (define @t225 () (tptp.element @t2 @t185)) % 1.32/1.56 (define @t226 () (tptp.in @t29 @t24)) % 1.32/1.56 (define @t227 () (and (tptp.in @t29 @t112) (= @t28 @t216))) % 1.32/1.56 (define @t228 () (tptp.function_inverse @t2)) % 1.32/1.56 (define @t229 () (= @t112 tptp.empty_set)) % 1.32/1.56 (define @t230 () (= @t51 tptp.empty_set)) % 1.32/1.56 (define @t231 () (= (tptp.apply @t175 @t2) (tptp.apply @t29 @t2))) % 1.32/1.56 (define @t232 () (= @t69 (tptp.unordered_pair @t2 @t29))) % 1.32/1.56 (define @t233 () (or @t169 @t168 @t92)) % 1.32/1.56 (define @t234 () (= @t61 (forall @t49 @t233))) % 1.32/1.56 (define @t235 () (not @t212)) % 1.32/1.56 (define @t236 () (not @t37)) % 1.32/1.56 (define @t237 () (or @t236 @t235 @t211)) % 1.32/1.56 (define @t238 () (forall @t6 @t237)) % 1.32/1.56 (define @t239 () (@quantifiers_skolemize @t238 0)) % 1.32/1.56 (define @t240 () (@quantifiers_skolemize @t238 1)) % 1.32/1.56 (define @t241 () (tptp.relation_restriction @t240 @t239)) % 1.32/1.56 (define @t242 () (tptp.relation @t240)) % 1.32/1.56 (define @t243 () (tptp.antisymmetric @t241)) % 1.32/1.56 (define @t244 () (tptp.antisymmetric @t240)) % 1.32/1.56 (define @t245 () (not @t244)) % 1.32/1.56 (define @t246 () (not @t242)) % 1.32/1.56 (define @t247 () (or @t246 @t245 @t243)) % 1.32/1.56 (define @t248 () (@list true)) % 1.32/1.56 (define @t249 () (@list @t247)) % 1.32/1.56 (define @t250 () (tptp.relation @t241)) % 1.32/1.56 (define @t251 () (or @t246 @t250)) % 1.32/1.56 (define @t252 () (@list false false)) % 1.32/1.56 (define @t253 () (forall @t49 (or (not (tptp.in @t102 @t241)) (not (tptp.in @t161 @t241)) @t92))) % 1.32/1.56 (define @t254 () (= @t243 @t253)) % 1.32/1.56 (define @t255 () (not @t250)) % 1.32/1.56 (define @t256 () (or @t255 @t254)) % 1.32/1.56 (define @t257 () (not @t253)) % 1.32/1.56 (define @t258 () (@quantifiers_skolemize @t253 1)) % 1.32/1.56 (define @t259 () (@quantifiers_skolemize @t253 0)) % 1.32/1.56 (define @t260 () (= @t259 @t258)) % 1.32/1.56 (define @t261 () (tptp.ordered_pair @t258 @t259)) % 1.32/1.56 (define @t262 () (tptp.in @t261 @t241)) % 1.32/1.56 (define @t263 () (not @t262)) % 1.32/1.56 (define @t264 () (tptp.ordered_pair @t259 @t258)) % 1.32/1.56 (define @t265 () (tptp.in @t264 @t241)) % 1.32/1.56 (define @t266 () (not @t265)) % 1.32/1.56 (define @t267 () (or @t266 @t263 @t260)) % 1.32/1.56 (define @t268 () (@list @t267)) % 1.32/1.56 (define @t269 () (forall @t49 (or (not (tptp.in @t102 @t240)) (not (tptp.in @t161 @t240)) @t92))) % 1.32/1.56 (define @t270 () (= @t244 @t269)) % 1.32/1.56 (define @t271 () (or @t246 @t270)) % 1.32/1.56 (define @t272 () (tptp.cartesian_product2 @t239 @t239)) % 1.32/1.56 (define @t273 () (tptp.in @t264 @t240)) % 1.32/1.56 (define @t274 () (and @t273 (tptp.in @t264 @t272))) % 1.32/1.56 (define @t275 () (= @t265 @t274)) % 1.32/1.56 (define @t276 () (or @t246 @t275)) % 1.32/1.56 (define @t277 () (@list false)) % 1.32/1.56 (define @t278 () (tptp.in @t261 @t240)) % 1.32/1.56 (define @t279 () (and @t278 (tptp.in @t261 @t272))) % 1.32/1.56 (define @t280 () (= @t262 @t279)) % 1.32/1.56 (define @t281 () (or @t246 @t280)) % 1.32/1.56 (define @t282 () (not @t278)) % 1.32/1.56 (define @t283 () (not @t273)) % 1.32/1.56 (define @t284 () (or @t283 @t282 @t260)) % 1.32/1.56 (assume @p1 (forall @t6 (=> @t5 @t4))) % 1.32/1.56 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 1.32/1.56 (assume @p3 (forall @t11 (=> @t10 @t9))) % 1.32/1.56 (assume @p4 (forall @t11 (=> @t15 @t14))) % 1.32/1.56 (assume @p5 (forall @t11 (=> @t10 @t16))) % 1.32/1.56 (assume @p6 (forall @t11 (=> @t19 @t18))) % 1.32/1.56 (assume @p7 (forall @t11 (=> @t14 @t15))) % 1.32/1.56 (assume @p8 (forall @t11 (=> @t10 @t20))) % 1.32/1.56 (assume @p9 (forall @t6 (= @t21 (tptp.unordered_pair @t2 @t1)))) % 1.32/1.56 (assume @p10 (forall @t6 (= @t23 @t22))) % 1.32/1.56 (assume @p11 (forall @t6 (= @t24 (tptp.set_intersection2 @t2 @t1)))) % 1.32/1.56 (assume @p12 (forall @t6 (=> @t27 (or @t25 (tptp.ordinal_subset @t2 @t1))))) % 1.32/1.56 (assume @p13 (forall @t6 (=> @t37 (= @t36 (forall @t34 (= @t33 (and @t31 @t30))))))) % 1.32/1.56 (assume @p14 (forall @t6 (= @t40 (and @t39 @t38)))) % 1.32/1.56 (assume @p15 (forall @t11 (=> @t16 (forall @t49 (=> @t48 (= (= @t29 @t47) (forall @t46 (= @t45 (and @t44 @t43))))))))) % 1.32/1.56 (assume @p16 (forall @t11 (=> @t56 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in @t41 @t51) @t50 (= @t28 (tptp.apply @t1 @t41))))))))))) % 1.32/1.56 (assume @p17 (forall @t6 (=> @t37 (forall @t59 (=> @t48 (= (= @t29 @t58) (forall @t46 (= @t45 (and @t57 (tptp.in @t42 @t2)))))))))) % 1.32/1.56 (assume @p18 (forall @t11 (=> @t16 (= @t61 (tptp.is_antisymmetric_in @t1 @t60))))) % 1.32/1.56 (assume @p19 (forall @t11 (=> @t56 (forall @t49 (= @t64 (forall @t54 (= @t53 (and @t63 (tptp.in @t62 @t2))))))))) % 1.32/1.56 (assume @p20 (forall @t11 (=> @t16 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in (tptp.ordered_pair @t41 @t28) @t1) @t50))))))))) % 1.32/1.56 (assume @p21 (forall @t11 (=> @t16 (forall @t49 (= @t64 (forall @t54 (= @t53 (exists @t52 (and @t43 @t50))))))))) % 1.32/1.56 (assume @p22 (forall @t11 (=> @t16 (= @t65 (tptp.is_connected_in @t1 @t60))))) % 1.32/1.56 (assume @p23 (forall @t11 (=> @t16 (= @t66 (tptp.is_transitive_in @t1 @t60))))) % 1.32/1.56 (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))))))))) % 1.32/1.56 (assume @p25 (forall @t11 (= @t70 (tptp.set_union2 @t1 @t69)))) % 1.32/1.56 (assume @p26 (forall @t11 (= @t16 (forall @t71 (not (and @t3 (forall @t34 (not (= @t2 @t32))))))))) % 1.32/1.56 (assume @p27 (forall @t11 (=> @t16 (forall @t71 (= @t73 (forall @t59 (=> @t72 (tptp.in (tptp.ordered_pair @t29 @t29) @t1)))))))) % 1.32/1.56 (assume @p28 (forall @t6 (and (=> @t79 (= @t75 (forall @t59 (= @t72 (forall @t54 (=> @t78 @t77)))))) (=> @t76 (= @t75 @t74))))) % 1.32/1.56 (assume @p29 (forall @t6 (= (= @t2 @t69) (forall @t59 (= @t72 (= @t29 @t1)))))) % 1.32/1.56 (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))))))))) % 1.32/1.56 (assume @p31 (forall @t11 (= @t76 (forall @t71 @t4)))) % 1.32/1.56 (assume @p32 (forall @t6 (= (= @t2 @t81) (forall @t59 (= @t72 (tptp.subset @t29 @t1)))))) % 1.32/1.56 (assume @p33 (forall @t11 (= @t13 (forall @t71 (=> @t3 @t38))))) % 1.32/1.56 (assume @p34 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t40 (forall @t34 (= @t82 @t33)))))))) % 1.32/1.56 (assume @p35 (forall @t6 (and (=> @t85 (= @t84 @t3)) (=> @t10 (= @t84 @t83))))) % 1.32/1.56 (assume @p36 (forall @t86 (= (= @t29 @t21) (forall @t54 (= @t53 (or (= @t28 @t1) @t80)))))) % 1.32/1.56 (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))))))))))) % 1.32/1.56 (assume @p38 (forall @t86 (= (= @t29 @t23) (forall @t54 (= @t53 (or @t78 @t44)))))) % 1.32/1.56 (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))))))))) % 1.32/1.56 (assume @p40 (forall @t11 (= @t12 (forall @t49 (not (and @t3 @t31 (not @t94) @t93 @t91)))))) % 1.32/1.56 (assume @p41 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t39 (forall @t34 (=> @t82 @t33)))))))) % 1.32/1.56 (assume @p42 (forall @t6 (= @t39 @t95))) % 1.32/1.56 (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)))))))))))) % 1.32/1.56 (assume @p44 (forall @t86 (= (= @t29 @t24) (forall @t54 (= @t53 (and @t78 @t44)))))) % 1.32/1.56 (assume @p45 (forall @t11 (=> @t56 (forall @t49 (and (=> @t101 (= @t100 @t103)) (=> (not @t101) (= @t100 @t96))))))) % 1.32/1.56 (assume @p46 (forall @t11 (= @t15 @t14))) % 1.32/1.56 (assume @p47 (forall @t11 (=> @t16 (forall @t71 (= (= @t2 @t51) (forall @t59 (= @t72 (exists @t54 @t82)))))))) % 1.32/1.56 (assume @p48 (forall @t11 (=> @t16 (forall @t71 (= @t105 (forall @t34 (=> (and @t72 @t44 @t82 @t104) @t30))))))) % 1.32/1.56 (assume @p49 (forall @t11 (= @t106 @t1))) % 1.32/1.56 (assume @p50 (forall @t6 (= (= @t2 @t107) (forall @t59 (= @t72 (exists @t54 (and @t77 @t78))))))) % 1.32/1.56 (assume @p51 (forall @t11 (=> @t16 (= @t109 (and @t108 @t66 @t61 @t65 @t88))))) % 1.32/1.56 (assume @p52 (forall @t86 (= (= @t29 @t110) (forall @t54 (= @t53 (and @t78 (not @t44))))))) % 1.32/1.56 (assume @p53 (forall @t11 (=> @t56 (forall @t71 (= @t113 (forall @t59 (= @t72 (exists @t54 @t111)))))))) % 1.32/1.56 (assume @p54 (forall @t11 (=> @t16 (forall @t71 (= @t113 (forall @t59 (= @t72 (exists @t54 @t104)))))))) % 1.32/1.56 (assume @p55 (forall @t6 (=> @t115 (= @t114 @t110)))) % 1.32/1.56 (assume @p56 (forall @t6 (= @t116 (tptp.unordered_pair @t21 @t69)))) % 1.32/1.56 (assume @p57 (forall @t11 (=> @t16 (forall @t71 (= (tptp.well_orders @t1 @t2) (and @t73 @t118 @t105 @t117 @t98)))))) % 1.32/1.56 (assume @p58 (forall @t11 (= @t119 (= @t1 @t107)))) % 1.32/1.56 (assume @p59 (forall @t11 (=> @t16 (= @t60 (tptp.set_union2 @t51 @t112))))) % 1.32/1.56 (assume @p60 (forall @t11 (=> @t16 (forall @t71 (= @t117 (forall @t34 (not (and @t72 @t44 (not @t30) (not @t82) (not @t104))))))))) % 1.32/1.56 (assume @p61 (forall @t11 (=> @t16 (forall @t71 (= @t121 (tptp.set_intersection2 @t1 @t120)))))) % 1.32/1.56 (assume @p62 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= (= @t2 @t122) (forall @t34 (= @t33 @t104)))))))) % 1.32/1.56 (assume @p63 (forall @t6 (= @t123 (= @t24 tptp.empty_set)))) % 1.32/1.56 (assume @p64 (forall @t11 (=> @t56 (= @t17 (forall @t49 (=> (and @t101 (tptp.in @t29 @t51) (= @t99 (tptp.apply @t1 @t29))) @t92)))))) % 1.32/1.56 (assume @p65 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (forall @t59 (=> @t48 (= (= @t29 @t124) (forall @t46 (= @t45 (exists (@list @t89) (and (tptp.in (tptp.ordered_pair @t28 @t89) @t1) (tptp.in (tptp.ordered_pair @t89 @t41) @t2))))))))))))) % 1.32/1.56 (assume @p66 (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)))))))) % 1.32/1.56 (assume @p67 (forall @t6 (=> @t127 (forall @t59 (=> (tptp.element @t29 @t126) (= (= @t29 @t125) (forall @t54 (=> (tptp.element @t28 @t81) (= @t53 (tptp.in (tptp.subset_complement @t1 @t28) @t2)))))))))) % 1.32/1.56 (assume @p68 (forall @t6 (= @t8 (and @t39 @t128)))) % 1.32/1.56 (assume @p69 (forall @t11 (=> @t56 (=> @t17 (= @t129 @t122))))) % 1.32/1.56 (assume @p70 (forall @t11 (=> @t16 (= @t108 (tptp.is_reflexive_in @t1 @t60))))) % 1.32/1.56 (assume @p71 true) % 1.32/1.56 (assume @p72 (forall @t11 (=> @t56 (and (tptp.relation @t129) (tptp.function @t129))))) % 1.32/1.56 (assume @p73 (forall @t11 (tptp.element @t106 @t81))) % 1.32/1.56 (assume @p74 @t131) % 1.32/1.56 (assume @p75 (forall @t6 (=> @t115 (tptp.element @t114 @t81)))) % 1.32/1.56 (assume @p76 (forall @t11 (=> @t16 @t132))) % 1.32/1.56 (assume @p77 (forall @t6 (=> @t134 @t133))) % 1.32/1.56 (assume @p78 (forall @t6 (=> @t127 (tptp.element @t135 @t81)))) % 1.32/1.56 (assume @p79 (forall @t11 @t136)) % 1.32/1.56 (assume @p80 (forall @t6 (=> @t127 (tptp.element @t137 @t81)))) % 1.32/1.56 (assume @p81 (forall @t86 (=> @t140 (tptp.element @t138 @t81)))) % 1.32/1.56 (assume @p82 (forall @t6 (=> @t16 @t141))) % 1.32/1.56 (assume @p83 (forall @t6 (=> @t127 (tptp.element @t125 @t126)))) % 1.32/1.56 (assume @p84 (forall @t6 (=> @t37 @t142))) % 1.32/1.56 (assume @p85 (forall @t11 (exists @t71 @t84))) % 1.32/1.56 (assume @p86 (forall @t6 (=> @t144 (and (tptp.empty @t143) (tptp.relation @t143))))) % 1.32/1.56 (assume @p87 (forall @t11 (=> @t10 (and (tptp.empty @t122) @t132)))) % 1.32/1.56 (assume @p88 (and @t147 @t146 @t145)) % 1.32/1.56 (assume @p89 (forall @t6 (=> @t149 (and @t141 (tptp.relation_empty_yielding @t47))))) % 1.32/1.56 (assume @p90 (forall @t6 (=> (and @t16 @t9 @t37 @t150) (and @t133 (tptp.function @t124))))) % 1.32/1.56 (assume @p91 (forall @t11 @t151)) % 1.32/1.56 (assume @p92 (forall @t6 (=> @t134 (tptp.relation @t24)))) % 1.32/1.56 (assume @p93 (forall @t11 (not (tptp.empty @t81)))) % 1.32/1.56 (assume @p94 @t147) % 1.32/1.56 (assume @p95 (forall @t6 (not (tptp.empty @t116)))) % 1.32/1.56 (assume @p96 (forall @t11 (and @t136 (tptp.function @t35)))) % 1.32/1.56 (assume @p97 (and @t146 @t145 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t147 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 1.32/1.56 (assume @p98 (forall @t6 (=> @t134 (tptp.relation @t23)))) % 1.32/1.56 (assume @p99 (forall @t11 (not (tptp.empty @t69)))) % 1.32/1.56 (assume @p100 (forall @t6 (=> @t85 (not (tptp.empty @t23))))) % 1.32/1.56 (assume @p101 (forall @t11 (=> @t18 (and @t132 (tptp.function @t122))))) % 1.32/1.56 (assume @p102 (forall @t11 (=> @t15 (and @t151 (tptp.epsilon_transitive @t70) (tptp.epsilon_connected @t70) (tptp.ordinal @t70))))) % 1.32/1.56 (assume @p103 (forall @t6 (=> @t134 (tptp.relation @t110)))) % 1.32/1.56 (assume @p104 (forall @t6 (not (tptp.empty @t21)))) % 1.32/1.56 (assume @p105 (forall @t6 (=> @t85 (not (tptp.empty @t22))))) % 1.32/1.56 (assume @p106 (forall @t6 (=> @t56 (and @t141 (tptp.function @t47))))) % 1.32/1.56 (assume @p107 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t107) (tptp.epsilon_connected @t107) (tptp.ordinal @t107))))) % 1.32/1.56 (assume @p108 (and @t147 @t146)) % 1.32/1.56 (assume @p109 (forall @t6 (=> (and @t85 @t152) (not (tptp.empty @t90))))) % 1.32/1.56 (assume @p110 (forall @t6 (=> @t153 (and @t142 (tptp.function @t58))))) % 1.32/1.56 (assume @p111 (forall @t11 (=> @t155 (not @t154)))) % 1.32/1.56 (assume @p112 (forall @t11 (=> @t155 (not @t156)))) % 1.32/1.56 (assume @p113 (forall @t11 (=> @t10 (and @t154 (tptp.relation @t51))))) % 1.32/1.56 (assume @p114 (forall @t11 (=> @t10 (and @t156 (tptp.relation @t112))))) % 1.32/1.56 (assume @p115 (forall @t6 (=> @t144 (and (tptp.empty @t124) @t133)))) % 1.32/1.56 (assume @p116 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 1.32/1.56 (assume @p117 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 1.32/1.56 (assume @p118 (forall @t6 (=> @t115 (= (tptp.subset_complement @t1 @t114) @t2)))) % 1.32/1.56 (assume @p119 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t122) @t1)))) % 1.32/1.56 (assume @p120 (forall @t6 (=> @t127 (= (tptp.complements_of_subsets @t1 @t125) @t2)))) % 1.32/1.56 (assume @p121 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 1.32/1.56 (assume @p122 (forall @t11 (=> @t16 (= @t108 (forall @t71 (=> @t157 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 1.32/1.56 (assume @p123 (forall @t11 (not (= @t69 tptp.empty_set)))) % 1.32/1.56 (assume @p124 (forall @t6 (=> @t5 (= (tptp.set_union2 @t69 @t2) @t2)))) % 1.32/1.56 (assume @p125 (forall @t6 (not (and @t158 @t5)))) % 1.32/1.56 (assume @p126 (forall @t6 (=> @t159 @t158))) % 1.32/1.56 (assume @p127 (forall @t6 (=> @t37 (tptp.subset (tptp.relation_dom @t58) @t160)))) % 1.32/1.56 (assume @p128 (forall @t11 (=> @t16 (= @t66 (forall (@list @t2 @t29 @t28) (=> (and @t103 @t82) (tptp.in (tptp.ordered_pair @t2 @t28) @t1))))))) % 1.32/1.56 (assume @p129 (forall @t6 (= (tptp.subset @t69 @t2) @t5))) % 1.32/1.56 (assume @p130 (forall @t6 (= (= @t110 tptp.empty_set) @t39))) % 1.32/1.56 (assume @p131 (forall @t6 (=> @t115 (forall @t59 (=> @t72 @t31))))) % 1.32/1.56 (assume @p132 @t167) % 1.32/1.56 (assume @p133 (forall @t86 (=> @t39 (or @t31 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t29))))))) % 1.32/1.56 (assume @p134 (forall @t11 (=> @t16 (= @t65 (forall @t49 (not (and @t157 (tptp.in @t29 @t60) @t93 @t169 @t168))))))) % 1.32/1.56 (assume @p135 (forall @t6 (= (tptp.subset @t1 @t170) (or @t76 (= @t1 @t170))))) % 1.32/1.56 (assume @p136 (forall @t6 (=> @t5 (tptp.subset @t1 @t171)))) % 1.32/1.56 (assume @p137 (forall @t68 (= (tptp.in @t116 (tptp.cartesian_product2 @t29 @t28)) (and @t172 (tptp.in @t2 @t28))))) % 1.32/1.56 (assume @p138 (forall @t6 (=> @t95 @t173))) % 1.32/1.56 (assume @p139 (forall @t86 (=> @t177 (= @t176 (and (tptp.in @t2 @t174) @t3))))) % 1.32/1.56 (assume @p140 (exists @t11 @t56)) % 1.32/1.56 (assume @p141 (exists @t11 @t20)) % 1.32/1.56 (assume @p142 (exists @t11 (and @t10 @t16))) % 1.32/1.56 (assume @p143 (forall @t11 (=> @t85 (exists @t71 (and @t115 @t152))))) % 1.32/1.56 (assume @p144 (exists @t11 @t10)) % 1.32/1.56 (assume @p145 (exists @t11 @t19)) % 1.32/1.56 (assume @p146 (exists @t11 (and @t16 @t9 @t17 @t10 @t13 @t12 @t15))) % 1.32/1.56 (assume @p147 (exists @t11 @t155)) % 1.32/1.56 (assume @p148 (forall @t11 (exists @t71 (and @t115 @t83)))) % 1.32/1.56 (assume @p149 (exists @t11 @t85)) % 1.32/1.56 (assume @p150 (exists @t11 @t18)) % 1.32/1.56 (assume @p151 (exists @t11 (and @t85 @t13 @t12 @t15))) % 1.32/1.56 (assume @p152 (exists @t11 @t149)) % 1.32/1.56 (assume @p153 (exists @t11 (and @t16 @t148 @t9))) % 1.32/1.56 (assume @p154 (forall @t6 (=> @t127 (= @t135 @t171)))) % 1.32/1.56 (assume @p155 (forall @t6 (=> @t127 (= @t137 (tptp.set_meet @t2))))) % 1.32/1.56 (assume @p156 (forall @t86 (=> @t140 (= @t138 @t178)))) % 1.32/1.56 (assume @p157 (forall @t6 (=> @t27 (= @t25 @t39)))) % 1.32/1.56 (assume @p158 (forall @t6 (=> @t27 (tptp.ordinal_subset @t1 @t1)))) % 1.32/1.56 (assume @p159 (forall @t6 (tptp.subset @t1 @t1))) % 1.32/1.56 (assume @p160 (forall @t6 (=> @t123 (tptp.disjoint @t2 @t1)))) % 1.32/1.56 (assume @p161 (forall @t11 (tptp.in @t1 @t70))) % 1.32/1.56 (assume @p162 (forall @t68 (not (and (= @t21 (tptp.unordered_pair @t29 @t28)) (not @t179) (not (= @t1 @t28)))))) % 1.32/1.56 (assume @p163 (forall @t86 (=> @t48 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t29))) (and @t5 (tptp.in @t1 @t180)))))) % 1.32/1.56 (assume @p164 (forall @t6 (=> @t37 (tptp.subset @t181 @t1)))) % 1.32/1.56 (assume @p165 (forall @t6 (=> @t37 (tptp.subset @t58 @t2)))) % 1.32/1.56 (assume @p166 (forall @t6 (=> @t37 (tptp.subset @t181 @t182)))) % 1.32/1.56 (assume @p167 (forall @t86 (=> @t39 (and (tptp.subset @t183 (tptp.cartesian_product2 @t2 @t29)) (tptp.subset (tptp.cartesian_product2 @t29 @t1) (tptp.cartesian_product2 @t29 @t2)))))) % 1.32/1.56 (assume @p168 (forall @t6 (=> @t37 (= @t181 (tptp.set_intersection2 @t182 @t1))))) % 1.32/1.56 (assume @p169 (forall @t68 (=> (and @t39 (tptp.subset @t29 @t28)) (tptp.subset @t183 (tptp.cartesian_product2 @t2 @t28))))) % 1.32/1.56 (assume @p170 (forall @t6 (=> @t39 (= @t23 @t2)))) % 1.32/1.56 (assume @p171 (forall @t11 (exists @t71 (and @t5 @t186 (forall @t59 (=> @t72 (tptp.in @t185 @t2))) @t184)))) % 1.32/1.56 (assume @p172 (forall @t86 (=> @t48 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t29) @t2) (tptp.relation_rng_restriction @t1 @t187))))) % 1.32/1.56 (assume @p173 (forall @t86 (=> @t48 (= (tptp.in @t1 (tptp.relation_image @t29 @t2)) (exists @t54 (and (tptp.in @t28 @t174) (tptp.in (tptp.ordered_pair @t28 @t1) @t29) @t44)))))) % 1.32/1.56 (assume @p174 (forall @t6 (=> @t37 (tptp.subset @t188 @t182)))) % 1.32/1.56 (assume @p175 (forall @t6 (=> @t153 (tptp.subset @t190 @t1)))) % 1.32/1.56 (assume @p176 (forall @t6 (=> @t37 (= @t188 (tptp.relation_image @t2 @t191))))) % 1.32/1.56 (assume @p177 (forall @t6 (=> @t37 (=> (tptp.subset @t1 @t160) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t188)))))) % 1.32/1.56 (assume @p178 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t51) @t112)))) % 1.32/1.56 (assume @p179 (forall @t6 (=> @t153 (=> @t192 (= @t190 @t1))))) % 1.32/1.56 (assume @p180 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t193 (tptp.relation_image @t2 @t112))))))) % 1.32/1.56 (assume @p181 (forall @t86 (=> @t48 (= (tptp.in @t1 @t194) (exists @t54 (and (tptp.in @t28 @t180) (tptp.in (tptp.ordered_pair @t1 @t28) @t29) @t44)))))) % 1.32/1.56 (assume @p182 (forall @t6 (=> @t37 (tptp.subset @t189 @t160)))) % 1.32/1.56 (assume @p183 @t197) % 1.32/1.56 (assume @p184 (forall @t6 (=> @t37 (not (and @t79 @t192 (= @t189 tptp.empty_set)))))) % 1.32/1.56 (assume @p185 (forall @t86 (=> @t48 (=> @t39 (tptp.subset (tptp.relation_inverse_image @t29 @t1) @t194))))) % 1.32/1.56 (assume @p186 (forall @t6 (=> @t37 (= @t198 (tptp.relation_dom_restriction @t58 @t1))))) % 1.32/1.56 (assume @p187 (forall @t6 (tptp.subset @t24 @t1))) % 1.32/1.56 (assume @p188 (forall @t6 (=> @t37 (= @t198 (tptp.relation_rng_restriction @t1 @t199))))) % 1.32/1.56 (assume @p189 (forall @t86 (=> @t48 (=> (tptp.in @t1 (tptp.relation_field @t195)) (and @t201 @t5))))) % 1.32/1.56 (assume @p190 (forall @t86 (=> (and @t39 @t203) (tptp.subset @t1 @t202)))) % 1.32/1.56 (assume @p191 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 1.32/1.56 (assume @p192 (forall @t6 (=> @t5 @t204))) % 1.32/1.56 (assume @p193 (forall @t86 (=> (and @t39 (tptp.subset @t2 @t29)) @t203))) % 1.32/1.56 (assume @p194 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 1.32/1.56 (assume @p195 (forall @t86 (=> @t48 (=> @t206 (and @t205 (tptp.in @t2 @t180)))))) % 1.32/1.56 (assume @p196 (forall @t6 (=> @t37 (and (tptp.subset @t207 (tptp.relation_field @t2)) (tptp.subset @t207 @t1))))) % 1.32/1.56 (assume @p197 (forall @t6 (=> @t153 (forall @t59 (=> @t177 (= @t210 (and @t205 (tptp.in @t208 @t160)))))))) % 1.32/1.56 (assume @p198 (forall @t11 (=> @t13 (forall @t71 (=> @t26 (=> @t8 @t5)))))) % 1.32/1.56 (assume @p199 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t51 @t112))))) % 1.32/1.56 (assume @p200 (forall @t86 (=> @t48 (tptp.subset (tptp.fiber (tptp.relation_restriction @t29 @t1) @t2) (tptp.fiber @t29 @t2))))) % 1.32/1.56 (assume @p201 (forall @t6 (=> @t153 (forall @t59 (=> @t177 (=> @t210 (= (tptp.apply @t209 @t1) (tptp.apply @t2 @t208)))))))) % 1.32/1.56 (assume @p202 (forall @t6 (=> @t37 (=> (tptp.reflexive @t2) (tptp.reflexive @t198))))) % 1.32/1.56 (assume @p203 (forall @t6 (=> @t153 (forall @t59 (=> @t177 (=> (tptp.in @t1 @t160) (= (tptp.apply (tptp.relation_composition @t2 @t29) @t1) (tptp.apply @t29 (tptp.apply @t2 @t1))))))))) % 1.32/1.56 (assume @p204 (forall @t6 (=> @t26 (=> @t5 @t15)))) % 1.32/1.56 (assume @p205 (forall @t6 (=> @t37 (=> (tptp.connected @t2) (tptp.connected @t198))))) % 1.32/1.56 (assume @p206 (forall @t11 (=> @t15 (forall @t71 (=> @t26 (not (and @t159 @t128 @t4))))))) % 1.32/1.56 (assume @p207 (forall @t6 (=> @t37 (=> (tptp.transitive @t2) (tptp.transitive @t198))))) % 1.32/1.56 (assume @p208 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> @t39 (and (tptp.subset @t51 @t160) (tptp.subset @t112 @t182)))))))) % 1.32/1.56 (assume @p209 @t215) % 1.32/1.56 (assume @p210 (forall @t86 (=> @t39 (tptp.subset (tptp.set_intersection2 @t1 @t29) @t202)))) % 1.32/1.56 (assume @p211 (forall @t6 (=> @t39 (= @t24 @t1)))) % 1.32/1.56 (assume @p212 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 1.32/1.56 (assume @p213 (forall @t6 (=> @t204 (or @t83 @t5)))) % 1.32/1.56 (assume @p214 (forall @t6 (=> (forall @t59 (= @t31 @t72)) @t40))) % 1.32/1.56 (assume @p215 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 1.32/1.56 (assume @p216 (forall @t86 (=> @t48 (=> @t206 (and @t201 (tptp.in @t2 @t200)))))) % 1.32/1.56 (assume @p217 (forall @t11 (=> (forall @t71 (=> @t3 (and @t26 @t38))) @t15))) % 1.32/1.56 (assume @p218 (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))))))))))))) % 1.32/1.56 (assume @p219 (forall @t11 (=> @t15 (forall @t71 (=> @t26 (= @t5 (tptp.ordinal_subset @t70 @t2))))))) % 1.32/1.56 (assume @p220 (forall @t86 (=> @t39 (tptp.subset (tptp.set_difference @t1 @t29) @t178)))) % 1.32/1.56 (assume @p221 (forall @t68 (=> (= @t116 @t32) (and @t179 (= @t2 @t28))))) % 1.32/1.56 (assume @p222 (forall @t6 (=> @t153 (= @t36 (and (= @t160 @t1) (forall @t59 (=> @t31 (= @t216 @t29)))))))) % 1.32/1.56 (assume @p223 (forall @t6 (=> @t3 (= (tptp.apply @t35 @t2) @t2)))) % 1.32/1.56 (assume @p224 (forall @t6 (tptp.subset @t110 @t1))) % 1.32/1.56 (assume @p225 (forall @t11 (=> @t16 (and (= @t112 (tptp.relation_dom @t122)) (= @t51 (tptp.relation_rng @t122)))))) % 1.32/1.56 (assume @p226 (forall @t86 (= (tptp.subset @t21 @t29) (and @t172 @t94)))) % 1.32/1.56 (assume @p227 (forall @t6 (= @t217 @t23))) % 1.32/1.56 (assume @p228 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 1.32/1.56 (assume @p229 (forall @t86 (not (and @t5 @t94 @t31)))) % 1.32/1.56 (assume @p230 (forall @t6 (= @t173 @t39))) % 1.32/1.56 (assume @p231 (forall @t6 (and (not (and @t219 (forall @t59 (not @t218)))) (not (and (exists @t59 @t218) @t123))))) % 1.32/1.56 (assume @p232 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t76))) % 1.32/1.56 (assume @p233 (forall @t6 (= (tptp.set_difference @t23 @t2) @t110))) % 1.32/1.56 (assume @p234 (forall @t11 (=> @t15 (= @t119 (forall @t71 (=> @t26 (=> @t3 (tptp.in @t220 @t1)))))))) % 1.32/1.56 (assume @p235 (forall @t11 (=> @t15 (and (not (and (not @t119) (forall @t71 (=> @t26 (not @t221))))) (not (and (exists @t71 (and @t26 @t221)) @t119)))))) % 1.32/1.56 (assume @p236 (forall @t6 (=> @t115 (forall @t59 (=> @t139 (= @t223 (tptp.subset @t2 @t222))))))) % 1.32/1.56 (assume @p237 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (tptp.subset @t224 @t51)))))) % 1.32/1.56 (assume @p238 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (tptp.subset @t193 @t182)))))) % 1.32/1.56 (assume @p239 (forall @t6 (=> @t39 (= @t2 @t217)))) % 1.32/1.56 (assume @p240 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> (tptp.subset @t112 @t160) (= @t224 @t51))))))) % 1.32/1.56 (assume @p241 (forall @t6 (=> @t127 (not (and @t87 (= @t125 tptp.empty_set)))))) % 1.32/1.56 (assume @p242 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> (tptp.subset @t51 @t182) (= (tptp.relation_rng @t143) @t112))))))) % 1.32/1.56 (assume @p243 (forall @t6 (=> @t127 (=> @t87 (= (tptp.subset_difference @t1 @t106 @t135) (tptp.meet_of_subsets @t1 @t125)))))) % 1.32/1.56 (assume @p244 (forall @t6 (=> @t127 (=> @t87 (= (tptp.union_of_subsets @t1 @t125) (tptp.subset_difference @t1 @t106 @t137)))))) % 1.32/1.56 (assume @p245 (forall @t6 (= (tptp.set_difference @t1 @t110) @t24))) % 1.32/1.56 (assume @p246 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 1.32/1.56 (assume @p247 (forall @t86 (=> (and @t5 @t225) (tptp.element @t1 @t29)))) % 1.32/1.56 (assume @p248 (forall @t6 (and (not (and @t219 (forall @t59 (not @t226)))) (not (and (exists @t59 @t226) @t123))))) % 1.32/1.56 (assume @p249 (forall @t11 (=> @t79 (forall @t71 (=> @t115 (forall @t59 (=> (tptp.element @t29 @t1) (=> @t91 (tptp.in @t29 @t114))))))))) % 1.32/1.56 (assume @p250 (forall @t11 (=> @t56 (=> @t17 (forall @t71 (=> @t153 (= (= @t2 @t129) (and (= @t160 @t112) (forall @t34 (and (=> @t227 @t111) (=> @t111 @t227))))))))))) % 1.32/1.56 (assume @p251 (forall @t86 (=> @t139 (not (and (tptp.in @t2 @t222) @t94))))) % 1.32/1.56 (assume @p252 (forall @t11 (=> @t56 (=> @t17 (and (= @t112 (tptp.relation_dom @t129)) (= @t51 (tptp.relation_rng @t129))))))) % 1.32/1.56 (assume @p253 (forall @t11 (=> @t16 (=> (forall @t49 @t169) @t76)))) % 1.32/1.56 (assume @p254 (forall @t6 (=> @t153 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t182)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t228 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t228 @t2) @t1))))))) % 1.32/1.56 (assume @p255 (forall @t86 (not (and @t5 @t225 (tptp.empty @t29))))) % 1.32/1.56 (assume @p256 (forall @t11 (=> @t16 (= @t88 (tptp.is_well_founded_in @t1 @t60))))) % 1.32/1.56 (assume @p257 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 1.32/1.56 (assume @p258 (forall @t6 (not (and @t39 @t7)))) % 1.32/1.56 (assume @p259 (forall @t11 (=> @t56 (=> @t17 (tptp.one_to_one @t129))))) % 1.32/1.56 (assume @p260 (forall @t86 (=> (and @t39 @t223) (tptp.disjoint @t1 @t29)))) % 1.32/1.56 (assume @p261 (forall @t11 (=> @t16 (=> (or @t230 @t229) @t76)))) % 1.32/1.56 (assume @p262 (forall @t11 (=> @t16 (= @t230 @t229)))) % 1.32/1.56 (assume @p263 (forall @t6 (= (= (tptp.set_difference @t1 @t170) @t1) @t4))) % 1.32/1.56 (assume @p264 (forall @t6 (=> @t153 (forall @t59 (=> @t177 (= (= @t2 @t175) (and (= @t160 (tptp.set_intersection2 @t174 @t1)) (forall @t54 (=> (tptp.in @t28 @t160) (= (tptp.apply @t2 @t28) (tptp.apply @t29 @t28))))))))))) % 1.32/1.56 (assume @p265 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t69))) % 1.32/1.56 (assume @p266 (forall @t11 (=> @t10 @t76))) % 1.32/1.56 (assume @p267 (forall @t6 (=> (tptp.subset @t69 @t170) @t40))) % 1.32/1.56 (assume @p268 (forall @t86 (=> @t177 (=> @t176 @t231)))) % 1.32/1.56 (assume @p269 (forall @t11 (and (= (tptp.relation_dom @t35) @t1) (= (tptp.relation_rng @t35) @t1)))) % 1.32/1.56 (assume @p270 (forall @t86 (=> @t177 (=> @t3 @t231)))) % 1.32/1.56 (assume @p271 (forall @t68 (=> (tptp.relation @t28) (= (tptp.in @t116 (tptp.relation_composition (tptp.identity_relation @t29) @t28)) (and @t172 (tptp.in @t116 @t28)))))) % 1.32/1.56 (assume @p272 (forall @t6 (not (and @t5 @t83)))) % 1.32/1.56 (assume @p273 (forall @t6 (not (and @t5 (forall @t59 (not (and @t72 (forall @t54 (not (and @t44 @t53)))))))))) % 1.32/1.56 (assume @p274 (forall @t6 (tptp.subset @t1 @t23))) % 1.32/1.56 (assume @p275 (forall @t6 (= @t123 (= @t110 @t1)))) % 1.32/1.56 (assume @p276 (forall @t86 (=> @t48 (= (tptp.in @t1 (tptp.relation_dom @t187)) (and @t5 @t205))))) % 1.32/1.56 (assume @p277 (forall @t6 (=> @t37 (tptp.subset @t199 @t2)))) % 1.32/1.56 (assume @p278 (forall @t6 (not (and @t10 @t128 @t83)))) % 1.32/1.56 (assume @p279 (forall @t86 (=> @t177 (= @t206 (and @t205 (= @t2 @t208)))))) % 1.32/1.56 (assume @p280 (forall @t11 (=> @t16 (= (tptp.well_orders @t1 @t60) @t109)))) % 1.32/1.56 (assume @p281 (forall @t86 (=> (and @t39 @t97) (tptp.subset (tptp.set_union2 @t1 @t29) @t2)))) % 1.32/1.56 (assume @p282 (forall @t86 (=> @t232 @t40))) % 1.32/1.56 (assume @p283 (forall @t6 (=> @t37 (= (tptp.relation_dom @t199) @t191)))) % 1.32/1.56 (assume @p284 (forall @t6 (=> @t37 (= @t199 (tptp.relation_composition @t35 @t2))))) % 1.32/1.56 (assume @p285 (forall @t6 (=> @t37 (tptp.subset (tptp.relation_rng @t199) @t182)))) % 1.32/1.56 (assume @p286 (forall @t11 (= (tptp.union @t81) @t1))) % 1.32/1.56 (assume @p287 (forall @t11 (exists @t71 (and @t5 @t186 (forall @t59 (not (and @t72 (forall @t54 (not (and @t44 (forall @t52 (=> (tptp.subset @t41 @t29) @t67)))))))) @t184)))) % 1.32/1.56 (assume @p288 (forall @t86 (=> @t232 @t92))) % 1.32/1.56 (step @p289 :rule bool-impl-elim :args (@t16 @t234)) % 1.32/1.56 (step @p290 :rule cong :premises (@p289) :args ((forall @t11 (=> @t16 @t234)))) % 1.32/1.56 (step @p291 :rule aci_norm :args ((= (or (or @t169 @t168) @t92) @t233))) % 1.32/1.56 (step @p292 :rule refl :args (@t92)) % 1.32/1.56 (step @p293 :rule bool-and-de-morgan :args (@t103 @t162 true)) % 1.32/1.56 (step @p294 :rule nary_cong :premises (@p293 @p292) :args ((or (not @t163) @t92))) % 1.32/1.56 (step @p295 :rule trans :premises (@p294 @p291)) % 1.32/1.56 (step @p296 :rule bool-impl-elim :args (@t163 @t92)) % 1.32/1.56 (step @p297 :rule trans :premises (@p296 @p295)) % 1.32/1.56 (step @p298 :rule cong :premises (@p297) :args (@t164)) % 1.32/1.56 (step @p299 :rule refl :args (@t61)) % 1.32/1.56 (step @p300 :rule cong :premises (@p299 @p298) :args (@t165)) % 1.32/1.56 (step @p301 :rule refl :args (@t16)) % 1.32/1.56 (step @p302 :rule cong :premises (@p301 @p300) :args (@t166)) % 1.32/1.56 (step @p303 :rule cong :premises (@p302) :args (@t167)) % 1.32/1.56 (step @p304 :rule trans :premises (@p303 @p290)) % 1.32/1.56 (step @p305 :rule eq_resolve :premises (@p132 @p304)) % 1.32/1.56 (step @p306 :rule instantiate :premises (@p305) :args ((@list @t241))) % 1.32/1.56 (step @p307 :rule bool-impl-elim :args (@t16 @t130)) % 1.32/1.56 (step @p308 :rule cong :premises (@p307) :args (@t131)) % 1.32/1.56 (step @p309 :rule eq_resolve :premises (@p74 @p308)) % 1.32/1.56 (step @p310 :rule instantiate :premises (@p309) :args ((@list @t240 @t239))) % 1.32/1.56 (step @p311 :rule aci_norm :args ((= (or @t236 (or @t235 @t211)) @t237))) % 1.32/1.56 (step @p312 :rule bool-impl-elim :args (@t212 @t211)) % 1.32/1.56 (step @p313 :rule refl :args (@t236)) % 1.32/1.56 (step @p314 :rule nary_cong :premises (@p313 @p312) :args ((or @t236 @t213))) % 1.32/1.56 (step @p315 :rule trans :premises (@p314 @p311)) % 1.32/1.56 (step @p316 :rule bool-impl-elim :args (@t37 @t213)) % 1.32/1.56 (step @p317 :rule trans :premises (@p316 @p315)) % 1.32/1.56 (step @p318 :rule cong :premises (@p317) :args (@t214)) % 1.32/1.56 (step @p319 :rule cong :premises (@p318) :args (@t215)) % 1.32/1.56 (step @p320 :rule eq_resolve :premises (@p209 @p319)) % 1.32/1.56 (step @p321 :rule skolemize :premises (@p320)) % 1.32/1.56 (step @p322 :rule bool-double-not-elim :args (@t242)) % 1.32/1.56 (step @p323 :rule refl :args (@t247)) % 1.32/1.56 (step @p324 :rule nary_cong :premises (@p323 @p322) :args ((or @t247 (not @t246)))) % 1.32/1.56 (step @p325 :rule cnf_or_neg :args (@t247 0)) % 1.32/1.56 (step @p326 :rule eq_resolve :premises (@p325 @p324)) % 1.32/1.56 (step @p327 :rule reordering :premises (@p326) :args ((or @t242 @t247))) % 1.32/1.56 (step @p328 :rule chain_m_resolution :premises (@p327 @p321) :args (@t242 @t248 @t249)) % 1.32/1.56 (step @p329 :rule cnf_or_pos :args (@t251)) % 1.32/1.56 (step @p330 :rule reordering :premises (@p329) :args ((or @t246 @t250 (not @t251)))) % 1.32/1.56 (step @p331 :rule chain_m_resolution :premises (@p330 @p328 @p310) :args (@t250 @t252 (@list @t242 @t251))) % 1.32/1.56 (step @p332 :rule cnf_or_pos :args (@t256)) % 1.32/1.56 (step @p333 :rule reordering :premises (@p332) :args ((or @t255 @t254 (not @t256)))) % 1.32/1.56 (step @p334 :rule chain_m_resolution :premises (@p333 @p331 @p306) :args (@t254 @t252 (@list @t250 @t256))) % 1.32/1.56 (step @p335 :rule cnf_or_neg :args (@t247 2)) % 1.32/1.56 (step @p336 :rule chain_m_resolution :premises (@p335 @p321) :args ((not @t243) @t248 @t249)) % 1.32/1.56 (step @p337 :rule cnf_equiv_pos2 :args (@t254)) % 1.32/1.56 (step @p338 :rule reordering :premises (@p337) :args ((or @t243 @t257 (not @t254)))) % 1.32/1.56 (step @p339 :rule chain_m_resolution :premises (@p338 @p336 @p334) :args (@t257 (@list true false) (@list @t243 @t254))) % 1.32/1.56 (step @p340 :rule skolemize :premises (@p339)) % 1.32/1.56 (step @p341 :rule cnf_or_neg :args (@t267 2)) % 1.32/1.56 (step @p342 :rule chain_m_resolution :premises (@p341 @p340) :args ((not @t260) @t248 @t268)) % 1.32/1.56 (step @p343 :rule instantiate :premises (@p305) :args ((@list @t240))) % 1.32/1.56 (step @p344 :rule cnf_or_pos :args (@t271)) % 1.32/1.56 (step @p345 :rule reordering :premises (@p344) :args ((or @t246 @t270 (not @t271)))) % 1.32/1.56 (step @p346 :rule chain_m_resolution :premises (@p345 @p328 @p343) :args (@t270 @t252 (@list @t242 @t271))) % 1.32/1.56 (step @p347 :rule bool-double-not-elim :args (@t244)) % 1.32/1.56 (step @p348 :rule nary_cong :premises (@p323 @p347) :args ((or @t247 (not @t245)))) % 1.32/1.56 (step @p349 :rule cnf_or_neg :args (@t247 1)) % 1.32/1.56 (step @p350 :rule eq_resolve :premises (@p349 @p348)) % 1.32/1.56 (step @p351 :rule reordering :premises (@p350) :args ((or @t244 @t247))) % 1.32/1.56 (step @p352 :rule chain_m_resolution :premises (@p351 @p321) :args (@t244 @t248 @t249)) % 1.32/1.56 (step @p353 :rule cnf_equiv_pos1 :args (@t270)) % 1.32/1.56 (step @p354 :rule reordering :premises (@p353) :args ((or @t245 @t269 (not @t270)))) % 1.32/1.56 (step @p355 :rule chain_m_resolution :premises (@p354 @p352 @p346) :args (@t269 @t252 (@list @t244 @t270))) % 1.32/1.56 (step @p356 :rule instantiate :premises (@p355) :args ((@list @t259 @t258))) % 1.32/1.56 (step @p357 :rule bool-impl-elim :args (@t48 @t196)) % 1.32/1.56 (step @p358 :rule cong :premises (@p357) :args (@t197)) % 1.32/1.56 (step @p359 :rule eq_resolve :premises (@p183 @p358)) % 1.32/1.56 (step @p360 :rule instantiate :premises (@p359) :args ((@list @t264 @t239 @t240))) % 1.32/1.56 (step @p361 :rule cnf_or_pos :args (@t276)) % 1.32/1.56 (step @p362 :rule reordering :premises (@p361) :args ((or @t246 @t275 (not @t276)))) % 1.32/1.56 (step @p363 :rule chain_m_resolution :premises (@p362 @p328 @p360) :args (@t275 @t252 (@list @t242 @t276))) % 1.32/1.56 (step @p364 :rule bool-double-not-elim :args (@t265)) % 1.32/1.56 (step @p365 :rule refl :args (@t267)) % 1.32/1.56 (step @p366 :rule nary_cong :premises (@p365 @p364) :args ((or @t267 (not @t266)))) % 1.32/1.56 (step @p367 :rule cnf_or_neg :args (@t267 0)) % 1.32/1.57 (step @p368 :rule eq_resolve :premises (@p367 @p366)) % 1.32/1.57 (step @p369 :rule reordering :premises (@p368) :args ((or @t265 @t267))) % 1.32/1.57 (step @p370 :rule chain_m_resolution :premises (@p369 @p340) :args (@t265 @t248 @t268)) % 1.32/1.57 (step @p371 :rule cnf_equiv_pos1 :args (@t275)) % 1.32/1.57 (step @p372 :rule reordering :premises (@p371) :args ((or @t266 @t274 (not @t275)))) % 1.32/1.57 (step @p373 :rule chain_m_resolution :premises (@p372 @p370 @p363) :args (@t274 @t252 (@list @t265 @t275))) % 1.32/1.57 (step @p374 :rule cnf_and_pos :args (@t274 0)) % 1.32/1.57 (step @p375 :rule reordering :premises (@p374) :args ((or @t273 (not @t274)))) % 1.32/1.57 (step @p376 :rule chain_m_resolution :premises (@p375 @p373) :args (@t273 @t277 (@list @t274))) % 1.32/1.57 (step @p377 :rule instantiate :premises (@p359) :args ((@list @t261 @t239 @t240))) % 1.32/1.57 (step @p378 :rule cnf_or_pos :args (@t281)) % 1.32/1.57 (step @p379 :rule reordering :premises (@p378) :args ((or @t246 @t280 (not @t281)))) % 1.32/1.57 (step @p380 :rule chain_m_resolution :premises (@p379 @p328 @p377) :args (@t280 @t252 (@list @t242 @t281))) % 1.32/1.57 (step @p381 :rule bool-double-not-elim :args (@t262)) % 1.32/1.57 (step @p382 :rule nary_cong :premises (@p365 @p381) :args ((or @t267 (not @t263)))) % 1.32/1.57 (step @p383 :rule cnf_or_neg :args (@t267 1)) % 1.32/1.57 (step @p384 :rule eq_resolve :premises (@p383 @p382)) % 1.32/1.57 (step @p385 :rule reordering :premises (@p384) :args ((or @t262 @t267))) % 1.32/1.57 (step @p386 :rule chain_m_resolution :premises (@p385 @p340) :args (@t262 @t248 @t268)) % 1.32/1.57 (step @p387 :rule cnf_equiv_pos1 :args (@t280)) % 1.32/1.57 (step @p388 :rule reordering :premises (@p387) :args ((or @t263 @t279 (not @t280)))) % 1.32/1.57 (step @p389 :rule chain_m_resolution :premises (@p388 @p386 @p380) :args (@t279 @t252 (@list @t262 @t280))) % 1.32/1.57 (step @p390 :rule cnf_and_pos :args (@t279 0)) % 1.32/1.57 (step @p391 :rule reordering :premises (@p390) :args ((or @t278 (not @t279)))) % 1.32/1.57 (step @p392 :rule chain_m_resolution :premises (@p391 @p389) :args (@t278 @t277 (@list @t279))) % 1.32/1.57 (step @p393 :rule cnf_or_pos :args (@t284)) % 1.32/1.57 (step @p394 :rule reordering :premises (@p393) :args ((or @t260 @t283 @t282 (not @t284)))) % 1.32/1.57 (step @p395 false :rule chain_m_resolution :premises (@p394 @p392 @p376 @p356 @p342) :args (false (@list false false false true) (@list @t278 @t273 @t284 @t260))) % 1.32/1.57 ) % 1.32/1.57 % SZS output end Proof % 1.32/1.57 % cvc5 exiting %------------------------------------------------------------------------------