%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU264+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:51:11 AM UTC 2026 % Result : Theorem 15.02s 15.25s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU264+2 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n005.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 16:48:48 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.53 %----Proving TF0_NAR, FOF, or CNF % 15.02/15.25 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.02/15.25 % SZS status Theorem % 15.02/15.25 % SZS output start Proof % 15.02/15.25 ( % 15.02/15.25 (declare-sort $$unsorted 0) % 15.02/15.25 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.function (-> $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.relation (-> $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.relation_isomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.transitive (-> $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.empty_set $$unsorted) % 15.02/15.25 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.connected (-> $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 15.02/15.25 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 15.02/15.25 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.25 (define @t1 () (@var "A" $$unsorted)) % 15.02/15.25 (define @t2 () (@var "B" $$unsorted)) % 15.02/15.25 (define @t3 () (tptp.in @t2 @t1)) % 15.02/15.25 (define @t4 () (not @t3)) % 15.02/15.25 (define @t5 () (tptp.in @t1 @t2)) % 15.02/15.25 (define @t6 () (@list @t1 @t2)) % 15.02/15.25 (define @t7 () (tptp.proper_subset @t2 @t1)) % 15.02/15.25 (define @t8 () (tptp.proper_subset @t1 @t2)) % 15.02/15.25 (define @t9 () (tptp.function @t1)) % 15.02/15.25 (define @t10 () (tptp.empty @t1)) % 15.02/15.25 (define @t11 () (@list @t1)) % 15.02/15.25 (define @t12 () (tptp.epsilon_connected @t1)) % 15.02/15.25 (define @t13 () (tptp.epsilon_transitive @t1)) % 15.02/15.25 (define @t14 () (and @t13 @t12)) % 15.02/15.25 (define @t15 () (tptp.ordinal @t1)) % 15.02/15.25 (define @t16 () (tptp.relation @t1)) % 15.02/15.25 (define @t17 () (@var "C" $$unsorted)) % 15.02/15.25 (define @t18 () (tptp.relation @t17)) % 15.02/15.25 (define @t19 () (tptp.cartesian_product2 @t1 @t2)) % 15.02/15.25 (define @t20 () (tptp.element @t17 (tptp.powerset @t19))) % 15.02/15.25 (define @t21 () (@list @t1 @t2 @t17)) % 15.02/15.25 (define @t22 () (tptp.one_to_one @t1)) % 15.02/15.25 (define @t23 () (and @t16 @t9 @t22)) % 15.02/15.25 (define @t24 () (and @t16 @t10 @t9)) % 15.02/15.25 (define @t25 () (and @t13 @t12 @t15)) % 15.02/15.25 (define @t26 () (tptp.unordered_pair @t1 @t2)) % 15.02/15.25 (define @t27 () (tptp.set_union2 @t2 @t1)) % 15.02/15.25 (define @t28 () (tptp.set_union2 @t1 @t2)) % 15.02/15.25 (define @t29 () (tptp.set_intersection2 @t1 @t2)) % 15.02/15.25 (define @t30 () (tptp.ordinal_subset @t1 @t2)) % 15.02/15.25 (define @t31 () (tptp.ordinal @t2)) % 15.02/15.25 (define @t32 () (and @t15 @t31)) % 15.02/15.25 (define @t33 () (@var "D" $$unsorted)) % 15.02/15.25 (define @t34 () (= @t17 @t33)) % 15.02/15.25 (define @t35 () (tptp.in @t17 @t1)) % 15.02/15.25 (define @t36 () (tptp.ordered_pair @t17 @t33)) % 15.02/15.25 (define @t37 () (tptp.in @t36 @t2)) % 15.02/15.25 (define @t38 () (@list @t17 @t33)) % 15.02/15.25 (define @t39 () (tptp.identity_relation @t1)) % 15.02/15.25 (define @t40 () (= @t2 @t39)) % 15.02/15.25 (define @t41 () (tptp.relation @t2)) % 15.02/15.25 (define @t42 () (tptp.subset @t2 @t1)) % 15.02/15.25 (define @t43 () (tptp.subset @t1 @t2)) % 15.02/15.25 (define @t44 () (= @t1 @t2)) % 15.02/15.25 (define @t45 () (@var "E" $$unsorted)) % 15.02/15.25 (define @t46 () (tptp.ordered_pair @t33 @t45)) % 15.02/15.25 (define @t47 () (tptp.in @t46 @t1)) % 15.02/15.25 (define @t48 () (tptp.in @t33 @t2)) % 15.02/15.25 (define @t49 () (tptp.in @t46 @t17)) % 15.02/15.25 (define @t50 () (@list @t33 @t45)) % 15.02/15.25 (define @t51 () (tptp.relation_dom_restriction @t1 @t2)) % 15.02/15.25 (define @t52 () (@list @t2 @t17)) % 15.02/15.25 (define @t53 () (tptp.in @t45 @t2)) % 15.02/15.25 (define @t54 () (tptp.relation_dom @t1)) % 15.02/15.25 (define @t55 () (@list @t45)) % 15.02/15.25 (define @t56 () (tptp.in @t33 @t17)) % 15.02/15.25 (define @t57 () (@list @t33)) % 15.02/15.25 (define @t58 () (= @t17 (tptp.relation_image @t1 @t2))) % 15.02/15.25 (define @t59 () (and @t16 @t9)) % 15.02/15.25 (define @t60 () (tptp.in @t45 @t1)) % 15.02/15.25 (define @t61 () (tptp.relation_rng_restriction @t1 @t2)) % 15.02/15.25 (define @t62 () (@list @t17)) % 15.02/15.25 (define @t63 () (tptp.relation_field @t1)) % 15.02/15.25 (define @t64 () (tptp.antisymmetric @t1)) % 15.02/15.25 (define @t65 () (tptp.apply @t1 @t33)) % 15.02/15.25 (define @t66 () (tptp.in @t33 @t54)) % 15.02/15.25 (define @t67 () (= @t17 (tptp.relation_inverse_image @t1 @t2))) % 15.02/15.25 (define @t68 () (tptp.connected @t1)) % 15.02/15.25 (define @t69 () (tptp.transitive @t1)) % 15.02/15.25 (define @t70 () (tptp.in @t45 @t33)) % 15.02/15.25 (define @t71 () (@list @t1 @t2 @t17 @t33)) % 15.02/15.25 (define @t72 () (tptp.singleton @t1)) % 15.02/15.25 (define @t73 () (tptp.succ @t1)) % 15.02/15.25 (define @t74 () (@list @t2)) % 15.02/15.25 (define @t75 () (tptp.in @t17 @t2)) % 15.02/15.25 (define @t76 () (tptp.is_reflexive_in @t1 @t2)) % 15.02/15.25 (define @t77 () (tptp.relation_of2 @t17 @t1 @t2)) % 15.02/15.25 (define @t78 () (= @t2 tptp.empty_set)) % 15.02/15.25 (define @t79 () (= @t2 (tptp.set_meet @t1))) % 15.02/15.25 (define @t80 () (= @t1 tptp.empty_set)) % 15.02/15.25 (define @t81 () (tptp.in @t17 @t33)) % 15.02/15.25 (define @t82 () (tptp.in @t33 @t1)) % 15.02/15.25 (define @t83 () (not @t80)) % 15.02/15.25 (define @t84 () (= @t33 @t2)) % 15.02/15.25 (define @t85 () (tptp.powerset @t1)) % 15.02/15.25 (define @t86 () (tptp.in @t36 @t1)) % 15.02/15.25 (define @t87 () (tptp.empty @t2)) % 15.02/15.25 (define @t88 () (tptp.element @t2 @t1)) % 15.02/15.25 (define @t89 () (not @t10)) % 15.02/15.25 (define @t90 () (not @t78)) % 15.02/15.25 (define @t91 () (tptp.well_founded_relation @t1)) % 15.02/15.25 (define @t92 () (@var "F" $$unsorted)) % 15.02/15.25 (define @t93 () (not @t75)) % 15.02/15.25 (define @t94 () (= @t2 @t17)) % 15.02/15.25 (define @t95 () (not @t94)) % 15.02/15.25 (define @t96 () (tptp.in @t2 @t17)) % 15.02/15.25 (define @t97 () (forall @t62 (=> @t35 @t75))) % 15.02/15.25 (define @t98 () (= @t17 tptp.empty_set)) % 15.02/15.25 (define @t99 () (tptp.subset @t17 @t2)) % 15.02/15.25 (define @t100 () (tptp.is_well_founded_in @t1 @t2)) % 15.02/15.25 (define @t101 () (tptp.apply @t1 @t2)) % 15.02/15.25 (define @t102 () (= @t17 @t101)) % 15.02/15.25 (define @t103 () (tptp.in @t2 @t54)) % 15.02/15.25 (define @t104 () (tptp.in (tptp.ordered_pair @t2 @t17) @t1)) % 15.02/15.25 (define @t105 () (tptp.in (tptp.ordered_pair @t33 @t17) @t1)) % 15.02/15.25 (define @t106 () (tptp.is_antisymmetric_in @t1 @t2)) % 15.02/15.25 (define @t107 () (tptp.cast_to_subset @t1)) % 15.02/15.25 (define @t108 () (tptp.union @t1)) % 15.02/15.25 (define @t109 () (tptp.reflexive @t1)) % 15.02/15.25 (define @t110 () (tptp.well_ordering @t1)) % 15.02/15.25 (define @t111 () (tptp.set_difference @t1 @t2)) % 15.02/15.25 (define @t112 () (and @t66 (= @t17 @t65))) % 15.02/15.25 (define @t113 () (tptp.relation_rng @t1)) % 15.02/15.25 (define @t114 () (= @t2 @t113)) % 15.02/15.25 (define @t115 () (tptp.subset_complement @t1 @t2)) % 15.02/15.25 (define @t116 () (tptp.element @t2 @t85)) % 15.02/15.25 (define @t117 () (tptp.ordered_pair @t1 @t2)) % 15.02/15.25 (define @t118 () (tptp.is_connected_in @t1 @t2)) % 15.02/15.25 (define @t119 () (tptp.is_transitive_in @t1 @t2)) % 15.02/15.25 (define @t120 () (tptp.being_limit_ordinal @t1)) % 15.02/15.25 (define @t121 () (tptp.cartesian_product2 @t2 @t2)) % 15.02/15.25 (define @t122 () (tptp.relation_restriction @t1 @t2)) % 15.02/15.25 (define @t123 () (tptp.relation_inverse @t1)) % 15.02/15.25 (define @t124 () (tptp.apply @t17 @t33)) % 15.02/15.25 (define @t125 () (tptp.relation_field @t2)) % 15.02/15.25 (define @t126 () (tptp.relation_rng @t17)) % 15.02/15.25 (define @t127 () (tptp.relation_dom @t17)) % 15.02/15.25 (define @t128 () (tptp.relation_isomorphism @t1 @t2 @t17)) % 15.02/15.25 (define @t129 () (and @t18 (tptp.function @t17))) % 15.02/15.25 (define @t130 () (tptp.disjoint @t1 @t2)) % 15.02/15.25 (define @t131 () (tptp.relation_composition @t1 @t2)) % 15.02/15.25 (define @t132 () (tptp.complements_of_subsets @t1 @t2)) % 15.02/15.25 (define @t133 () (tptp.powerset @t85)) % 15.02/15.25 (define @t134 () (tptp.element @t2 @t133)) % 15.02/15.25 (define @t135 () (not @t44)) % 15.02/15.25 (define @t136 () (tptp.function_inverse @t1)) % 15.02/15.25 (define @t137 () (tptp.relation @t123)) % 15.02/15.25 (define @t138 () (tptp.relation @t131)) % 15.02/15.25 (define @t139 () (and @t16 @t41)) % 15.02/15.25 (define @t140 () (tptp.union_of_subsets @t1 @t2)) % 15.02/15.25 (define @t141 () (tptp.relation @t39)) % 15.02/15.25 (define @t142 () (tptp.meet_of_subsets @t1 @t2)) % 15.02/15.25 (define @t143 () (tptp.subset_difference @t1 @t2 @t17)) % 15.02/15.25 (define @t144 () (tptp.element @t17 @t85)) % 15.02/15.25 (define @t145 () (and @t116 @t144)) % 15.02/15.25 (define @t146 () (tptp.relation @t51)) % 15.02/15.25 (define @t147 () (tptp.relation @t61)) % 15.02/15.25 (define @t148 () (tptp.relation_of2_as_subset @t17 @t1 @t2)) % 15.02/15.25 (define @t149 () (tptp.relation_composition @t2 @t1)) % 15.02/15.25 (define @t150 () (and @t10 @t41)) % 15.02/15.25 (define @t151 () (tptp.relation_empty_yielding tptp.empty_set)) % 15.02/15.25 (define @t152 () (tptp.relation tptp.empty_set)) % 15.02/15.25 (define @t153 () (tptp.empty tptp.empty_set)) % 15.02/15.25 (define @t154 () (tptp.relation_empty_yielding @t1)) % 15.02/15.25 (define @t155 () (and @t16 @t154)) % 15.02/15.25 (define @t156 () (tptp.function @t2)) % 15.02/15.25 (define @t157 () (not (tptp.empty @t73))) % 15.02/15.25 (define @t158 () (not @t87)) % 15.02/15.25 (define @t159 () (and @t41 @t156)) % 15.02/15.25 (define @t160 () (tptp.empty @t54)) % 15.02/15.25 (define @t161 () (and @t89 @t16)) % 15.02/15.25 (define @t162 () (tptp.empty @t113)) % 15.02/15.25 (define @t163 () (tptp.in @t2 @t63)) % 15.02/15.25 (define @t164 () (tptp.disjoint @t72 @t2)) % 15.02/15.25 (define @t165 () (not @t5)) % 15.02/15.25 (define @t166 () (tptp.relation_dom @t2)) % 15.02/15.25 (define @t167 () (tptp.in (tptp.ordered_pair @t17 @t2) @t1)) % 15.02/15.25 (define @t168 () (not @t104)) % 15.02/15.25 (define @t169 () (tptp.singleton @t2)) % 15.02/15.25 (define @t170 () (tptp.union @t2)) % 15.02/15.25 (define @t171 () (tptp.in @t1 @t17)) % 15.02/15.25 (define @t172 () (tptp.element @t1 (tptp.powerset @t2))) % 15.02/15.25 (define @t173 () (tptp.relation_dom_restriction @t17 @t1)) % 15.02/15.25 (define @t174 () (tptp.in @t2 (tptp.relation_dom @t173))) % 15.02/15.25 (define @t175 () (tptp.set_difference @t2 @t17)) % 15.02/15.25 (define @t176 () (= @t1 @t17)) % 15.02/15.25 (define @t177 () (tptp.relation_rng @t61)) % 15.02/15.25 (define @t178 () (tptp.relation_rng @t2)) % 15.02/15.25 (define @t179 () (tptp.cartesian_product2 @t1 @t17)) % 15.02/15.25 (define @t180 () (and (tptp.subset @t127 @t1) (tptp.subset @t126 @t2))) % 15.02/15.25 (define @t181 () (forall @t21 (=> @t148 @t180))) % 15.02/15.25 (define @t182 () (forall @t62 (not (and @t99 (not (tptp.are_equipotent @t17 @t2)) @t93)))) % 15.02/15.25 (define @t183 () (tptp.powerset @t17)) % 15.02/15.25 (define @t184 () (forall @t38 (=> (and @t75 (tptp.subset @t33 @t17)) @t48))) % 15.02/15.25 (define @t185 () (tptp.relation_dom_restriction @t17 @t2)) % 15.02/15.25 (define @t186 () (tptp.relation_image @t2 @t1)) % 15.02/15.25 (define @t187 () (tptp.relation_inverse_image @t2 @t1)) % 15.02/15.25 (define @t188 () (tptp.relation_image @t2 @t187)) % 15.02/15.25 (define @t189 () (tptp.set_intersection2 @t166 @t1)) % 15.02/15.25 (define @t190 () (tptp.subset @t1 @t178)) % 15.02/15.25 (define @t191 () (tptp.relation_of2_as_subset @t33 @t17 @t2)) % 15.02/15.25 (define @t192 () (tptp.subset (tptp.relation_rng @t33) @t2)) % 15.02/15.25 (define @t193 () (=> @t192 @t191)) % 15.02/15.25 (define @t194 () (tptp.relation_of2_as_subset @t33 @t17 @t1)) % 15.02/15.25 (define @t195 () (forall @t71 (=> @t194 @t193))) % 15.02/15.25 (define @t196 () (tptp.relation_rng @t131)) % 15.02/15.25 (define @t197 () (tptp.relation_inverse_image @t17 @t2)) % 15.02/15.25 (define @t198 () (=> @t43 @t191)) % 15.02/15.25 (define @t199 () (forall @t71 (=> @t194 @t198))) % 15.02/15.25 (define @t200 () (not @t199)) % 15.02/15.25 (define @t201 () (tptp.relation_restriction @t17 @t2)) % 15.02/15.25 (define @t202 () (tptp.relation_restriction @t2 @t1)) % 15.02/15.25 (define @t203 () (tptp.relation_dom_restriction @t2 @t1)) % 15.02/15.25 (define @t204 () (tptp.relation_field @t17)) % 15.02/15.25 (define @t205 () (tptp.in @t1 @t204)) % 15.02/15.25 (define @t206 () (tptp.set_intersection2 @t2 @t17)) % 15.02/15.25 (define @t207 () (tptp.subset @t1 @t17)) % 15.02/15.25 (define @t208 () (tptp.element @t1 @t2)) % 15.02/15.25 (define @t209 () (tptp.subset @t2 @t17)) % 15.02/15.25 (define @t210 () (and @t43 @t209)) % 15.02/15.25 (define @t211 () (forall @t21 (=> @t210 @t207))) % 15.02/15.25 (define @t212 () (tptp.in @t1 @t127)) % 15.02/15.25 (define @t213 () (tptp.in @t117 @t17)) % 15.02/15.25 (define @t214 () (tptp.relation_field @t202)) % 15.02/15.25 (define @t215 () (tptp.apply @t17 @t1)) % 15.02/15.25 (define @t216 () (tptp.relation_composition @t17 @t2)) % 15.02/15.25 (define @t217 () (tptp.in @t1 (tptp.relation_dom @t216))) % 15.02/15.25 (define @t218 () (tptp.reflexive @t2)) % 15.02/15.25 (define @t219 () (tptp.connected @t2)) % 15.02/15.25 (define @t220 () (tptp.transitive @t2)) % 15.02/15.25 (define @t221 () (tptp.antisymmetric @t2)) % 15.02/15.25 (define @t222 () (tptp.well_founded_relation @t2)) % 15.02/15.25 (define @t223 () (tptp.well_ordering @t2)) % 15.02/15.25 (define @t224 () (tptp.apply @t2 @t17)) % 15.02/15.25 (define @t225 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 15.02/15.25 (define @t226 () (and @t35 @t75)) % 15.02/15.25 (define @t227 () (not @t130)) % 15.02/15.25 (define @t228 () (tptp.succ @t2)) % 15.02/15.25 (define @t229 () (= @t1 @t228)) % 15.02/15.25 (define @t230 () (tptp.subset_complement @t1 @t17)) % 15.02/15.25 (define @t231 () (tptp.disjoint @t2 @t17)) % 15.02/15.25 (define @t232 () (tptp.relation_dom @t131)) % 15.02/15.25 (define @t233 () (tptp.element @t2 @t183)) % 15.02/15.25 (define @t234 () (tptp.in @t17 @t29)) % 15.02/15.25 (define @t235 () (and (tptp.in @t17 @t113) (= @t33 @t224))) % 15.02/15.25 (define @t236 () (tptp.function_inverse @t2)) % 15.02/15.25 (define @t237 () (= @t113 tptp.empty_set)) % 15.02/15.25 (define @t238 () (= @t54 tptp.empty_set)) % 15.02/15.25 (define @t239 () (= (tptp.apply @t173 @t2) (tptp.apply @t17 @t2))) % 15.02/15.25 (define @t240 () (= @t72 (tptp.unordered_pair @t2 @t17))) % 15.02/15.25 (define @t241 () (not @t192)) % 15.02/15.25 (define @t242 () (not @t194)) % 15.02/15.25 (define @t243 () (or @t242 @t241 @t191)) % 15.02/15.25 (define @t244 () (not @t209)) % 15.02/15.25 (define @t245 () (not @t43)) % 15.02/15.25 (define @t246 () (or @t242 @t245 @t191)) % 15.02/15.25 (define @t247 () (forall @t71 @t246)) % 15.02/15.25 (define @t248 () (@quantifiers_skolemize @t247 1)) % 15.02/15.25 (define @t249 () (@quantifiers_skolemize @t247 0)) % 15.02/15.25 (define @t250 () (@quantifiers_skolemize @t247 3)) % 15.02/15.25 (define @t251 () (tptp.relation_rng @t250)) % 15.02/15.25 (define @t252 () (@quantifiers_skolemize @t247 2)) % 15.02/15.25 (define @t253 () (tptp.relation_of2_as_subset @t250 @t252 @t249)) % 15.02/15.25 (define @t254 () (tptp.relation_of2_as_subset @t250 @t252 @t248)) % 15.02/15.25 (define @t255 () (tptp.subset @t249 @t248)) % 15.02/15.25 (define @t256 () (not @t255)) % 15.02/15.25 (define @t257 () (not @t253)) % 15.02/15.25 (define @t258 () (or @t257 @t256 @t254)) % 15.02/15.25 (define @t259 () (@list true)) % 15.02/15.25 (define @t260 () (@list @t258)) % 15.02/15.25 (define @t261 () (tptp.subset @t251 @t249)) % 15.02/15.25 (define @t262 () (and (tptp.subset (tptp.relation_dom @t250) @t252) @t261)) % 15.02/15.25 (define @t263 () (or @t257 @t262)) % 15.02/15.25 (define @t264 () (tptp.subset @t251 @t248)) % 15.02/15.25 (define @t265 () (not @t261)) % 15.02/15.25 (define @t266 () (or @t265 @t256 @t264)) % 15.02/15.25 (define @t267 () (not @t264)) % 15.02/15.25 (define @t268 () (or @t257 @t267 @t254)) % 15.02/15.25 (define @t269 () (not @t268)) % 15.02/15.25 (define @t270 () (forall @t71 @t243)) % 15.02/15.25 (assume @p1 (forall @t6 (=> @t5 @t4))) % 15.02/15.25 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 15.02/15.25 (assume @p3 (forall @t11 (=> @t10 @t9))) % 15.02/15.25 (assume @p4 (forall @t11 (=> @t15 @t14))) % 15.02/15.25 (assume @p5 (forall @t11 (=> @t10 @t16))) % 15.02/15.25 (assume @p6 (forall @t21 (=> @t20 @t18))) % 15.02/15.25 (assume @p7 (forall @t11 (=> @t24 @t23))) % 15.02/15.25 (assume @p8 (forall @t11 (=> @t14 @t15))) % 15.02/15.25 (assume @p9 (forall @t11 (=> @t10 @t25))) % 15.02/15.25 (assume @p10 (forall @t6 (= @t26 (tptp.unordered_pair @t2 @t1)))) % 15.02/15.25 (assume @p11 (forall @t6 (= @t28 @t27))) % 15.02/15.25 (assume @p12 (forall @t6 (= @t29 (tptp.set_intersection2 @t2 @t1)))) % 15.02/15.25 (assume @p13 (forall @t6 (=> @t32 (or @t30 (tptp.ordinal_subset @t2 @t1))))) % 15.02/15.25 (assume @p14 (forall @t6 (=> @t41 (= @t40 (forall @t38 (= @t37 (and @t35 @t34))))))) % 15.02/15.25 (assume @p15 (forall @t6 (= @t44 (and @t43 @t42)))) % 15.02/15.25 (assume @p16 (forall @t11 (=> @t16 (forall @t52 (=> @t18 (= (= @t17 @t51) (forall @t50 (= @t49 (and @t48 @t47))))))))) % 15.02/15.25 (assume @p17 (forall @t11 (=> @t59 (forall @t52 (= @t58 (forall @t57 (= @t56 (exists @t55 (and (tptp.in @t45 @t54) @t53 (= @t33 (tptp.apply @t1 @t45))))))))))) % 15.02/15.25 (assume @p18 (forall @t6 (=> @t41 (forall @t62 (=> @t18 (= (= @t17 @t61) (forall @t50 (= @t49 (and @t60 (tptp.in @t46 @t2)))))))))) % 15.02/15.25 (assume @p19 (forall @t11 (=> @t16 (= @t64 (tptp.is_antisymmetric_in @t1 @t63))))) % 15.02/15.25 (assume @p20 (forall @t11 (=> @t59 (forall @t52 (= @t67 (forall @t57 (= @t56 (and @t66 (tptp.in @t65 @t2))))))))) % 15.02/15.25 (assume @p21 (forall @t11 (=> @t16 (forall @t52 (= @t58 (forall @t57 (= @t56 (exists @t55 (and (tptp.in (tptp.ordered_pair @t45 @t33) @t1) @t53))))))))) % 15.02/15.25 (assume @p22 (forall @t11 (=> @t16 (forall @t52 (= @t67 (forall @t57 (= @t56 (exists @t55 (and @t47 @t53))))))))) % 15.02/15.25 (assume @p23 (forall @t11 (=> @t16 (= @t68 (tptp.is_connected_in @t1 @t63))))) % 15.02/15.25 (assume @p24 (forall @t11 (=> @t16 (= @t69 (tptp.is_transitive_in @t1 @t63))))) % 15.02/15.25 (assume @p25 (forall @t71 (= (= @t33 (tptp.unordered_triple @t1 @t2 @t17)) (forall @t55 (= @t70 (not (and (not (= @t45 @t1)) (not (= @t45 @t2)) (not (= @t45 @t17))))))))) % 15.02/15.25 (assume @p26 (forall @t11 (= @t73 (tptp.set_union2 @t1 @t72)))) % 15.02/15.25 (assume @p27 (forall @t11 (= @t16 (forall @t74 (not (and @t3 (forall @t38 (not (= @t2 @t36))))))))) % 15.02/15.25 (assume @p28 (forall @t11 (=> @t16 (forall @t74 (= @t76 (forall @t62 (=> @t75 (tptp.in (tptp.ordered_pair @t17 @t17) @t1)))))))) % 15.02/15.25 (assume @p29 (forall @t21 (= @t77 (tptp.subset @t17 @t19)))) % 15.02/15.25 (assume @p30 (forall @t6 (and (=> @t83 (= @t79 (forall @t62 (= @t75 (forall @t57 (=> @t82 @t81)))))) (=> @t80 (= @t79 @t78))))) % 15.02/15.25 (assume @p31 (forall @t6 (= (= @t2 @t72) (forall @t62 (= @t75 (= @t17 @t1)))))) % 15.02/15.25 (assume @p32 (forall @t11 (=> @t16 (forall @t52 (= (= @t17 (tptp.fiber @t1 @t2)) (forall @t57 (= @t56 (and (not @t84) (tptp.in (tptp.ordered_pair @t33 @t2) @t1))))))))) % 15.02/15.25 (assume @p33 (forall @t11 (= @t80 (forall @t74 @t4)))) % 15.02/15.25 (assume @p34 (forall @t6 (= (= @t2 @t85) (forall @t62 (= @t75 (tptp.subset @t17 @t1)))))) % 15.02/15.25 (assume @p35 (forall @t11 (= @t13 (forall @t74 (=> @t3 @t42))))) % 15.02/15.25 (assume @p36 (forall @t11 (=> @t16 (forall @t74 (=> @t41 (= @t44 (forall @t38 (= @t86 @t37)))))))) % 15.02/15.25 (assume @p37 (forall @t6 (and (=> @t89 (= @t88 @t3)) (=> @t10 (= @t88 @t87))))) % 15.02/15.25 (assume @p38 (forall @t21 (= (= @t17 @t26) (forall @t57 (= @t56 (or (= @t33 @t1) @t84)))))) % 15.02/15.25 (assume @p39 (forall @t11 (=> @t16 (= @t91 (forall @t74 (not (and (tptp.subset @t2 @t63) @t90 (forall @t62 (not (and @t75 (tptp.disjoint (tptp.fiber @t1 @t17) @t2))))))))))) % 15.02/15.25 (assume @p40 (forall @t21 (= (= @t17 @t28) (forall @t57 (= @t56 (or @t82 @t48)))))) % 15.02/15.25 (assume @p41 (forall @t21 (= (= @t17 @t19) (forall @t57 (= @t56 (exists (@list @t45 @t92) (and @t60 (tptp.in @t92 @t2) (= @t33 (tptp.ordered_pair @t45 @t92))))))))) % 15.02/15.25 (assume @p42 (forall @t11 (= @t12 (forall @t52 (not (and @t3 @t35 (not @t96) @t95 @t93)))))) % 15.02/15.25 (assume @p43 (forall @t11 (=> @t16 (forall @t74 (=> @t41 (= @t43 (forall @t38 (=> @t86 @t37)))))))) % 15.02/15.25 (assume @p44 (forall @t6 (= @t43 @t97))) % 15.02/15.25 (assume @p45 (forall @t11 (=> @t16 (forall @t74 (= @t100 (forall @t62 (not (and @t99 (not @t98) (forall @t57 (not (and @t56 (tptp.disjoint (tptp.fiber @t1 @t33) @t17)))))))))))) % 15.02/15.25 (assume @p46 (forall @t21 (= (= @t17 @t29) (forall @t57 (= @t56 (and @t82 @t48)))))) % 15.02/15.25 (assume @p47 (forall @t11 (=> @t59 (forall @t52 (and (=> @t103 (= @t102 @t104)) (=> (not @t103) (= @t102 @t98))))))) % 15.02/15.25 (assume @p48 (forall @t11 (= @t15 @t14))) % 15.02/15.25 (assume @p49 (forall @t11 (=> @t16 (forall @t74 (= (= @t2 @t54) (forall @t62 (= @t75 (exists @t57 @t86)))))))) % 15.02/15.25 (assume @p50 (forall @t11 (=> @t16 (forall @t74 (= @t106 (forall @t38 (=> (and @t75 @t48 @t86 @t105) @t34))))))) % 15.02/15.25 (assume @p51 (forall @t11 (= @t107 @t1))) % 15.02/15.25 (assume @p52 (forall @t6 (= (= @t2 @t108) (forall @t62 (= @t75 (exists @t57 (and @t81 @t82))))))) % 15.02/15.25 (assume @p53 (forall @t11 (=> @t16 (= @t110 (and @t109 @t69 @t64 @t68 @t91))))) % 15.02/15.25 (assume @p54 (forall @t21 (= (= @t17 @t111) (forall @t57 (= @t56 (and @t82 (not @t48))))))) % 15.02/15.25 (assume @p55 (forall @t11 (=> @t59 (forall @t74 (= @t114 (forall @t62 (= @t75 (exists @t57 @t112)))))))) % 15.02/15.25 (assume @p56 (forall @t11 (=> @t16 (forall @t74 (= @t114 (forall @t62 (= @t75 (exists @t57 @t105)))))))) % 15.02/15.25 (assume @p57 (forall @t6 (=> @t116 (= @t115 @t111)))) % 15.02/15.25 (assume @p58 (forall @t6 (= @t117 (tptp.unordered_pair @t26 @t72)))) % 15.02/15.25 (assume @p59 (forall @t11 (=> @t16 (forall @t74 (= (tptp.well_orders @t1 @t2) (and @t76 @t119 @t106 @t118 @t100)))))) % 15.02/15.25 (assume @p60 (forall @t11 (= @t120 (= @t1 @t108)))) % 15.02/15.25 (assume @p61 (forall @t11 (=> @t16 (= @t63 (tptp.set_union2 @t54 @t113))))) % 15.02/15.25 (assume @p62 (forall @t11 (=> @t16 (forall @t74 (= @t118 (forall @t38 (not (and @t75 @t48 (not @t34) (not @t86) (not @t105))))))))) % 15.02/15.25 (assume @p63 (forall @t11 (=> @t16 (forall @t74 (= @t122 (tptp.set_intersection2 @t1 @t121)))))) % 15.02/15.25 (assume @p64 (forall @t11 (=> @t16 (forall @t74 (=> @t41 (= (= @t2 @t123) (forall @t38 (= @t37 @t105)))))))) % 15.02/15.25 (assume @p65 (forall @t11 (=> @t16 (forall @t74 (=> @t41 (forall @t62 (=> @t129 (= @t128 (and (= @t127 @t63) (= @t126 @t125) (tptp.one_to_one @t17) (forall @t50 (= @t47 (and (tptp.in @t33 @t63) (tptp.in @t45 @t63) (tptp.in (tptp.ordered_pair @t124 (tptp.apply @t17 @t45)) @t2))))))))))))) % 15.02/15.25 (assume @p66 (forall @t6 (= @t130 (= @t29 tptp.empty_set)))) % 15.02/15.25 (assume @p67 (forall @t11 (=> @t59 (= @t22 (forall @t52 (=> (and @t103 (tptp.in @t17 @t54) (= @t101 (tptp.apply @t1 @t17))) @t94)))))) % 15.02/15.25 (assume @p68 (forall @t11 (=> @t16 (forall @t74 (=> @t41 (forall @t62 (=> @t18 (= (= @t17 @t131) (forall @t50 (= @t49 (exists (@list @t92) (and (tptp.in (tptp.ordered_pair @t33 @t92) @t1) (tptp.in (tptp.ordered_pair @t92 @t45) @t2))))))))))))) % 15.02/15.25 (assume @p69 (forall @t11 (=> @t16 (forall @t74 (= @t119 (forall (@list @t17 @t33 @t45) (=> (and @t75 @t48 @t53 @t86 @t47) (tptp.in (tptp.ordered_pair @t17 @t45) @t1)))))))) % 15.02/15.25 (assume @p70 (forall @t6 (=> @t134 (forall @t62 (=> (tptp.element @t17 @t133) (= (= @t17 @t132) (forall @t57 (=> (tptp.element @t33 @t85) (= @t56 (tptp.in (tptp.subset_complement @t1 @t33) @t2)))))))))) % 15.02/15.25 (assume @p71 (forall @t6 (= @t8 (and @t43 @t135)))) % 15.02/15.25 (assume @p72 (forall @t11 (=> @t59 (=> @t22 (= @t136 @t123))))) % 15.02/15.25 (assume @p73 (forall @t11 (=> @t16 (= @t109 (tptp.is_reflexive_in @t1 @t63))))) % 15.02/15.25 (assume @p74 true) % 15.02/15.25 (assume @p75 (forall @t11 (=> @t59 (and (tptp.relation @t136) (tptp.function @t136))))) % 15.02/15.25 (assume @p76 (forall @t11 (tptp.element @t107 @t85))) % 15.02/15.25 (assume @p77 (forall @t6 (=> @t16 (tptp.relation @t122)))) % 15.02/15.25 (assume @p78 (forall @t6 (=> @t116 (tptp.element @t115 @t85)))) % 15.02/15.25 (assume @p79 (forall @t11 (=> @t16 @t137))) % 15.02/15.25 (assume @p80 (forall @t6 (=> @t139 @t138))) % 15.02/15.25 (assume @p81 (forall @t6 (=> @t134 (tptp.element @t140 @t85)))) % 15.02/15.25 (assume @p82 (forall @t11 @t141)) % 15.02/15.25 (assume @p83 (forall @t6 (=> @t134 (tptp.element @t142 @t85)))) % 15.02/15.25 (assume @p84 (forall @t21 (=> @t145 (tptp.element @t143 @t85)))) % 15.02/15.25 (assume @p85 (forall @t6 (=> @t16 @t146))) % 15.02/15.25 (assume @p86 (forall @t6 (=> @t134 (tptp.element @t132 @t133)))) % 15.02/15.25 (assume @p87 (forall @t6 (=> @t41 @t147))) % 15.02/15.25 (assume @p88 (forall @t21 (=> @t148 @t20))) % 15.02/15.25 (assume @p89 (forall @t6 (exists @t62 @t77))) % 15.02/15.25 (assume @p90 (forall @t11 (exists @t74 @t88))) % 15.02/15.25 (assume @p91 (forall @t6 (exists @t62 @t148))) % 15.02/15.25 (assume @p92 (forall @t6 (=> @t150 (and (tptp.empty @t149) (tptp.relation @t149))))) % 15.02/15.25 (assume @p93 (forall @t11 (=> @t10 (and (tptp.empty @t123) @t137)))) % 15.02/15.25 (assume @p94 (and @t153 @t152 @t151)) % 15.02/15.25 (assume @p95 (forall @t6 (=> @t155 (and @t146 (tptp.relation_empty_yielding @t51))))) % 15.02/15.25 (assume @p96 (forall @t6 (=> (and @t16 @t9 @t41 @t156) (and @t138 (tptp.function @t131))))) % 15.02/15.25 (assume @p97 (forall @t11 @t157)) % 15.02/15.25 (assume @p98 (forall @t6 (=> @t139 (tptp.relation @t29)))) % 15.02/15.25 (assume @p99 (forall @t11 (not (tptp.empty @t85)))) % 15.02/15.25 (assume @p100 @t153) % 15.02/15.25 (assume @p101 (forall @t6 (not (tptp.empty @t117)))) % 15.02/15.25 (assume @p102 (forall @t11 (and @t141 (tptp.function @t39)))) % 15.02/15.25 (assume @p103 (and @t152 @t151 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t153 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 15.02/15.25 (assume @p104 (forall @t6 (=> @t139 (tptp.relation @t28)))) % 15.02/15.25 (assume @p105 (forall @t11 (not (tptp.empty @t72)))) % 15.02/15.25 (assume @p106 (forall @t6 (=> @t89 (not (tptp.empty @t28))))) % 15.02/15.25 (assume @p107 (forall @t11 (=> @t23 (and @t137 (tptp.function @t123))))) % 15.02/15.25 (assume @p108 (forall @t11 (=> @t15 (and @t157 (tptp.epsilon_transitive @t73) (tptp.epsilon_connected @t73) (tptp.ordinal @t73))))) % 15.02/15.25 (assume @p109 (forall @t6 (=> @t139 (tptp.relation @t111)))) % 15.02/15.25 (assume @p110 (forall @t6 (not (tptp.empty @t26)))) % 15.02/15.25 (assume @p111 (forall @t6 (=> @t89 (not (tptp.empty @t27))))) % 15.02/15.25 (assume @p112 (forall @t6 (=> @t59 (and @t146 (tptp.function @t51))))) % 15.02/15.25 (assume @p113 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t108) (tptp.epsilon_connected @t108) (tptp.ordinal @t108))))) % 15.02/15.25 (assume @p114 (and @t153 @t152)) % 15.02/15.25 (assume @p115 (forall @t6 (=> (and @t89 @t158) (not (tptp.empty @t19))))) % 15.02/15.25 (assume @p116 (forall @t6 (=> @t159 (and @t147 (tptp.function @t61))))) % 15.02/15.25 (assume @p117 (forall @t11 (=> @t161 (not @t160)))) % 15.02/15.25 (assume @p118 (forall @t11 (=> @t161 (not @t162)))) % 15.02/15.25 (assume @p119 (forall @t11 (=> @t10 (and @t160 (tptp.relation @t54))))) % 15.02/15.25 (assume @p120 (forall @t11 (=> @t10 (and @t162 (tptp.relation @t113))))) % 15.02/15.25 (assume @p121 (forall @t6 (=> @t150 (and (tptp.empty @t131) @t138)))) % 15.02/15.25 (assume @p122 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 15.02/15.25 (assume @p123 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 15.02/15.25 (assume @p124 (forall @t6 (=> @t116 (= (tptp.subset_complement @t1 @t115) @t2)))) % 15.02/15.25 (assume @p125 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t123) @t1)))) % 15.02/15.25 (assume @p126 (forall @t6 (=> @t134 (= (tptp.complements_of_subsets @t1 @t132) @t2)))) % 15.02/15.25 (assume @p127 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 15.02/15.25 (assume @p128 (forall @t11 (=> @t16 (= @t109 (forall @t74 (=> @t163 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 15.02/15.25 (assume @p129 (forall @t11 (not (= @t72 tptp.empty_set)))) % 15.02/15.25 (assume @p130 (forall @t6 (=> @t5 (= (tptp.set_union2 @t72 @t2) @t2)))) % 15.02/15.25 (assume @p131 (forall @t6 (not (and @t164 @t5)))) % 15.02/15.25 (assume @p132 (forall @t6 (=> @t165 @t164))) % 15.02/15.25 (assume @p133 (forall @t6 (=> @t41 (tptp.subset (tptp.relation_dom @t61) @t166)))) % 15.02/15.25 (assume @p134 (forall @t11 (=> @t16 (= @t69 (forall (@list @t2 @t17 @t33) (=> (and @t104 @t86) (tptp.in (tptp.ordered_pair @t2 @t33) @t1))))))) % 15.02/15.25 (assume @p135 (forall @t6 (= (tptp.subset @t72 @t2) @t5))) % 15.02/15.25 (assume @p136 (forall @t6 (= (= @t111 tptp.empty_set) @t43))) % 15.02/15.25 (assume @p137 (forall @t6 (=> @t116 (forall @t62 (=> @t75 @t35))))) % 15.02/15.25 (assume @p138 (forall @t11 (=> @t16 (= @t64 (forall @t52 (=> (and @t104 @t167) @t94)))))) % 15.02/15.25 (assume @p139 (forall @t21 (=> @t43 (or @t35 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t17))))))) % 15.02/15.25 (assume @p140 (forall @t11 (=> @t16 (= @t68 (forall @t52 (not (and @t163 (tptp.in @t17 @t63) @t95 @t168 (not @t167)))))))) % 15.02/15.25 (assume @p141 (forall @t6 (= (tptp.subset @t1 @t169) (or @t80 (= @t1 @t169))))) % 15.02/15.25 (assume @p142 (forall @t6 (=> @t5 (tptp.subset @t1 @t170)))) % 15.02/15.25 (assume @p143 (forall @t71 (= (tptp.in @t117 (tptp.cartesian_product2 @t17 @t33)) (and @t171 (tptp.in @t2 @t33))))) % 15.02/15.25 (assume @p144 (forall @t6 (=> @t97 @t172))) % 15.02/15.25 (assume @p145 (forall @t21 (=> @t129 (= @t174 (and (tptp.in @t2 @t127) @t3))))) % 15.02/15.25 (assume @p146 (exists @t11 @t59)) % 15.02/15.25 (assume @p147 (exists @t11 @t25)) % 15.02/15.25 (assume @p148 (exists @t11 (and @t10 @t16))) % 15.02/15.25 (assume @p149 (forall @t11 (=> @t89 (exists @t74 (and @t116 @t158))))) % 15.02/15.25 (assume @p150 (exists @t11 @t10)) % 15.02/15.25 (assume @p151 (exists @t11 @t24)) % 15.02/15.25 (assume @p152 (exists @t11 (and @t16 @t9 @t22 @t10 @t13 @t12 @t15))) % 15.02/15.25 (assume @p153 (exists @t11 @t161)) % 15.02/15.25 (assume @p154 (forall @t11 (exists @t74 (and @t116 @t87)))) % 15.02/15.25 (assume @p155 (exists @t11 @t89)) % 15.02/15.25 (assume @p156 (exists @t11 @t23)) % 15.02/15.25 (assume @p157 (exists @t11 (and @t89 @t13 @t12 @t15))) % 15.02/15.25 (assume @p158 (exists @t11 @t155)) % 15.02/15.25 (assume @p159 (exists @t11 (and @t16 @t154 @t9))) % 15.02/15.25 (assume @p160 (forall @t6 (=> @t134 (= @t140 @t170)))) % 15.02/15.25 (assume @p161 (forall @t6 (=> @t134 (= @t142 (tptp.set_meet @t2))))) % 15.02/15.25 (assume @p162 (forall @t21 (=> @t145 (= @t143 @t175)))) % 15.02/15.25 (assume @p163 (forall @t21 (= @t148 @t77))) % 15.02/15.25 (assume @p164 (forall @t6 (=> @t32 (= @t30 @t43)))) % 15.02/15.25 (assume @p165 (forall @t6 (=> @t32 (tptp.ordinal_subset @t1 @t1)))) % 15.02/15.25 (assume @p166 (forall @t6 (tptp.subset @t1 @t1))) % 15.02/15.25 (assume @p167 (forall @t6 (=> @t130 (tptp.disjoint @t2 @t1)))) % 15.02/15.25 (assume @p168 (forall @t11 (tptp.in @t1 @t73))) % 15.02/15.25 (assume @p169 (forall @t71 (not (and (= @t26 (tptp.unordered_pair @t17 @t33)) (not @t176) (not (= @t1 @t33)))))) % 15.02/15.25 (assume @p170 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t17))) (and @t5 (tptp.in @t1 @t126)))))) % 15.02/15.25 (assume @p171 (forall @t6 (=> @t41 (tptp.subset @t177 @t1)))) % 15.02/15.25 (assume @p172 (forall @t6 (=> @t41 (tptp.subset @t61 @t2)))) % 15.02/15.25 (assume @p173 (forall @t6 (=> @t41 (tptp.subset @t177 @t178)))) % 15.02/15.25 (assume @p174 (forall @t21 (=> @t43 (and (tptp.subset @t179 (tptp.cartesian_product2 @t2 @t17)) (tptp.subset (tptp.cartesian_product2 @t17 @t1) (tptp.cartesian_product2 @t17 @t2)))))) % 15.02/15.25 (assume @p175 (forall @t6 (=> @t41 (= @t177 (tptp.set_intersection2 @t178 @t1))))) % 15.02/15.25 (assume @p176 (forall @t71 (=> (and @t43 (tptp.subset @t17 @t33)) (tptp.subset @t179 (tptp.cartesian_product2 @t2 @t33))))) % 15.02/15.25 (assume @p177 @t181) % 15.02/15.25 (assume @p178 (forall @t6 (=> @t43 (= @t28 @t2)))) % 15.02/15.25 (assume @p179 (forall @t11 (exists @t74 (and @t5 @t184 (forall @t62 (=> @t75 (tptp.in @t183 @t2))) @t182)))) % 15.02/15.25 (assume @p180 (forall @t21 (=> @t18 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t17) @t2) (tptp.relation_rng_restriction @t1 @t185))))) % 15.02/15.25 (assume @p181 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_image @t17 @t2)) (exists @t57 (and (tptp.in @t33 @t127) (tptp.in (tptp.ordered_pair @t33 @t1) @t17) @t48)))))) % 15.02/15.25 (assume @p182 (forall @t6 (=> @t41 (tptp.subset @t186 @t178)))) % 15.02/15.25 (assume @p183 (forall @t6 (=> @t159 (tptp.subset @t188 @t1)))) % 15.02/15.25 (assume @p184 (forall @t6 (=> @t41 (= @t186 (tptp.relation_image @t2 @t189))))) % 15.02/15.25 (assume @p185 (forall @t6 (=> @t41 (=> (tptp.subset @t1 @t166) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t186)))))) % 15.02/15.25 (assume @p186 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t54) @t113)))) % 15.02/15.25 (assume @p187 (forall @t6 (=> @t159 (=> @t190 (= @t188 @t1))))) % 15.02/15.25 (assume @p188 @t195) % 15.02/15.25 (assume @p189 (forall @t11 (=> @t16 (forall @t74 (=> @t41 (= @t196 (tptp.relation_image @t2 @t113))))))) % 15.02/15.25 (assume @p190 (forall @t21 (=> @t18 (= (tptp.in @t1 @t197) (exists @t57 (and (tptp.in @t33 @t126) (tptp.in (tptp.ordered_pair @t1 @t33) @t17) @t48)))))) % 15.02/15.25 (assume @p191 (forall @t6 (=> @t41 (tptp.subset @t187 @t166)))) % 15.02/15.25 (assume @p192 @t200) % 15.02/15.25 (assume @p193 (forall @t21 (=> @t18 (= (tptp.in @t1 @t201) (and @t171 (tptp.in @t1 @t121)))))) % 15.02/15.25 (assume @p194 (forall @t6 (=> @t41 (not (and @t83 @t190 (= @t187 tptp.empty_set)))))) % 15.02/15.25 (assume @p195 (forall @t21 (=> @t18 (=> @t43 (tptp.subset (tptp.relation_inverse_image @t17 @t1) @t197))))) % 15.02/15.25 (assume @p196 (forall @t6 (=> @t41 (= @t202 (tptp.relation_dom_restriction @t61 @t1))))) % 15.02/15.25 (assume @p197 (forall @t6 (tptp.subset @t29 @t1))) % 15.02/15.25 (assume @p198 (forall @t6 (=> @t41 (= @t202 (tptp.relation_rng_restriction @t1 @t203))))) % 15.02/15.25 (assume @p199 (forall @t21 (=> @t18 (=> (tptp.in @t1 (tptp.relation_field @t201)) (and @t205 @t5))))) % 15.02/15.25 (assume @p200 (forall @t21 (=> (and @t43 @t207) (tptp.subset @t1 @t206)))) % 15.02/15.25 (assume @p201 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 15.02/15.25 (assume @p202 (forall @t6 (=> @t5 @t208))) % 15.02/15.25 (assume @p203 @t211) % 15.02/15.25 (assume @p204 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 15.02/15.25 (assume @p205 (forall @t21 (=> @t18 (=> @t213 (and @t212 (tptp.in @t2 @t126)))))) % 15.02/15.25 (assume @p206 (forall @t6 (=> @t41 (and (tptp.subset @t214 @t125) (tptp.subset @t214 @t1))))) % 15.02/15.25 (assume @p207 (forall @t6 (=> @t159 (forall @t62 (=> @t129 (= @t217 (and @t212 (tptp.in @t215 @t166)))))))) % 15.02/15.25 (assume @p208 (forall @t11 (=> @t13 (forall @t74 (=> @t31 (=> @t8 @t5)))))) % 15.02/15.25 (assume @p209 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t54 @t113))))) % 15.02/15.25 (assume @p210 (forall @t21 (=> @t18 (tptp.subset (tptp.fiber (tptp.relation_restriction @t17 @t1) @t2) (tptp.fiber @t17 @t2))))) % 15.02/15.25 (assume @p211 (forall @t6 (=> @t159 (forall @t62 (=> @t129 (=> @t217 (= (tptp.apply @t216 @t1) (tptp.apply @t2 @t215)))))))) % 15.02/15.25 (assume @p212 (forall @t6 (=> @t41 (=> @t218 (tptp.reflexive @t202))))) % 15.02/15.25 (assume @p213 (forall @t6 (=> @t159 (forall @t62 (=> @t129 (=> (tptp.in @t1 @t166) (= (tptp.apply (tptp.relation_composition @t2 @t17) @t1) (tptp.apply @t17 (tptp.apply @t2 @t1))))))))) % 15.02/15.25 (assume @p214 (forall @t6 (=> @t31 (=> @t5 @t15)))) % 15.02/15.25 (assume @p215 (forall @t6 (=> @t41 (=> @t219 (tptp.connected @t202))))) % 15.02/15.25 (assume @p216 (forall @t11 (=> @t15 (forall @t74 (=> @t31 (not (and @t165 @t135 @t4))))))) % 15.02/15.25 (assume @p217 (forall @t6 (=> @t41 (=> @t220 (tptp.transitive @t202))))) % 15.02/15.25 (assume @p218 (forall @t11 (=> @t16 (forall @t74 (=> @t41 (=> @t43 (and (tptp.subset @t54 @t166) (tptp.subset @t113 @t178)))))))) % 15.02/15.25 (assume @p219 (forall @t6 (=> @t41 (=> @t221 (tptp.antisymmetric @t202))))) % 15.02/15.25 (assume @p220 (forall @t21 (=> @t43 (tptp.subset (tptp.set_intersection2 @t1 @t17) @t206)))) % 15.02/15.25 (assume @p221 (forall @t6 (=> @t43 (= @t29 @t1)))) % 15.02/15.25 (assume @p222 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 15.02/15.25 (assume @p223 (forall @t6 (=> @t208 (or @t87 @t5)))) % 15.02/15.25 (assume @p224 (forall @t6 (=> (forall @t62 (= @t35 @t75)) @t44))) % 15.02/15.25 (assume @p225 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 15.02/15.25 (assume @p226 (forall @t21 (=> @t18 (=> @t213 (and @t205 (tptp.in @t2 @t204)))))) % 15.02/15.25 (assume @p227 (forall @t11 (=> (forall @t74 (=> @t3 (and @t31 @t42))) @t15))) % 15.02/15.25 (assume @p228 (forall @t6 (=> @t41 (=> @t222 (tptp.well_founded_relation @t202))))) % 15.02/15.25 (assume @p229 (forall @t6 (=> @t31 (not (and @t43 @t83 (forall @t62 (=> (tptp.ordinal @t17) (not (and @t35 (forall @t57 (=> (tptp.ordinal @t33) (=> @t82 (tptp.ordinal_subset @t17 @t33))))))))))))) % 15.02/15.25 (assume @p230 (forall @t6 (=> @t41 (=> @t223 (tptp.well_ordering @t202))))) % 15.02/15.25 (assume @p231 (forall @t11 (=> @t15 (forall @t74 (=> @t31 (= @t5 (tptp.ordinal_subset @t73 @t2))))))) % 15.02/15.25 (assume @p232 (forall @t21 (=> @t43 (tptp.subset (tptp.set_difference @t1 @t17) @t175)))) % 15.02/15.25 (assume @p233 (forall @t71 (=> (= @t117 @t36) (and @t176 (= @t2 @t33))))) % 15.02/15.25 (assume @p234 (forall @t6 (=> @t159 (= @t40 (and (= @t166 @t1) (forall @t62 (=> @t35 (= @t224 @t17)))))))) % 15.02/15.25 (assume @p235 (forall @t6 (=> @t3 (= (tptp.apply @t39 @t2) @t2)))) % 15.02/15.25 (assume @p236 (forall @t6 (tptp.subset @t111 @t1))) % 15.02/15.25 (assume @p237 (forall @t11 (=> @t16 (and (= @t113 (tptp.relation_dom @t123)) (= @t54 (tptp.relation_rng @t123)))))) % 15.02/15.25 (assume @p238 (forall @t21 (= (tptp.subset @t26 @t17) (and @t171 @t96)))) % 15.02/15.25 (assume @p239 (forall @t6 (=> @t41 (=> (and @t223 (tptp.subset @t1 @t125)) (= @t214 @t1))))) % 15.02/15.25 (assume @p240 (forall @t6 (= @t225 @t28))) % 15.02/15.25 (assume @p241 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 15.02/15.25 (assume @p242 (forall @t21 (not (and @t5 @t96 @t35)))) % 15.02/15.25 (assume @p243 (forall @t6 (= @t172 @t43))) % 15.02/15.25 (assume @p244 (forall @t6 (and (not (and @t227 (forall @t62 (not @t226)))) (not (and (exists @t62 @t226) @t130))))) % 15.02/15.25 (assume @p245 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t80))) % 15.02/15.25 (assume @p246 (forall @t6 (= (tptp.set_difference @t28 @t2) @t111))) % 15.02/15.25 (assume @p247 (forall @t11 (=> @t15 (= @t120 (forall @t74 (=> @t31 (=> @t3 (tptp.in @t228 @t1)))))))) % 15.02/15.25 (assume @p248 (forall @t11 (=> @t15 (and (not (and (not @t120) (forall @t74 (=> @t31 (not @t229))))) (not (and (exists @t74 (and @t31 @t229)) @t120)))))) % 15.02/15.25 (assume @p249 (forall @t6 (=> @t116 (forall @t62 (=> @t144 (= @t231 (tptp.subset @t2 @t230))))))) % 15.02/15.25 (assume @p250 (forall @t11 (=> @t16 (forall @t74 (=> @t41 (tptp.subset @t232 @t54)))))) % 15.02/15.25 (assume @p251 (forall @t11 (=> @t16 (forall @t74 (=> @t41 (tptp.subset @t196 @t178)))))) % 15.02/15.25 (assume @p252 (forall @t6 (=> @t43 (= @t2 @t225)))) % 15.02/15.25 (assume @p253 (forall @t11 (=> @t16 (forall @t74 (=> @t41 (=> (tptp.subset @t113 @t166) (= @t232 @t54))))))) % 15.02/15.25 (assume @p254 (forall @t6 (=> @t134 (not (and @t90 (= @t132 tptp.empty_set)))))) % 15.02/15.25 (assume @p255 (forall @t11 (=> @t16 (forall @t74 (=> @t41 (=> (tptp.subset @t54 @t178) (= (tptp.relation_rng @t149) @t113))))))) % 15.02/15.25 (assume @p256 (forall @t6 (=> @t134 (=> @t90 (= (tptp.subset_difference @t1 @t107 @t140) (tptp.meet_of_subsets @t1 @t132)))))) % 15.02/15.25 (assume @p257 (forall @t6 (=> @t134 (=> @t90 (= (tptp.union_of_subsets @t1 @t132) (tptp.subset_difference @t1 @t107 @t142)))))) % 15.02/15.25 (assume @p258 (forall @t6 (= (tptp.set_difference @t1 @t111) @t29))) % 15.02/15.25 (assume @p259 (forall @t11 (=> @t16 (forall @t74 (=> @t41 (forall @t62 (=> @t129 (=> @t128 (tptp.relation_isomorphism @t2 @t1 (tptp.function_inverse @t17)))))))))) % 15.02/15.25 (assume @p260 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 15.02/15.25 (assume @p261 (forall @t21 (=> (and @t5 @t233) (tptp.element @t1 @t17)))) % 15.02/15.25 (assume @p262 (forall @t6 (and (not (and @t227 (forall @t62 (not @t234)))) (not (and (exists @t62 @t234) @t130))))) % 15.02/15.25 (assume @p263 (forall @t11 (=> @t83 (forall @t74 (=> @t116 (forall @t62 (=> (tptp.element @t17 @t1) (=> @t93 (tptp.in @t17 @t115))))))))) % 15.02/15.25 (assume @p264 (forall @t11 (=> @t16 (forall @t74 (=> @t41 (forall @t62 (=> @t129 (=> @t128 (and (=> @t109 @t218) (=> @t69 @t220) (=> @t68 @t219) (=> @t64 @t221) (=> @t91 @t222)))))))))) % 15.02/15.25 (assume @p265 (forall @t11 (=> @t59 (=> @t22 (forall @t74 (=> @t159 (= (= @t2 @t136) (and (= @t166 @t113) (forall @t38 (and (=> @t235 @t112) (=> @t112 @t235))))))))))) % 15.02/15.25 (assume @p266 (forall @t21 (=> @t144 (not (and (tptp.in @t2 @t230) @t96))))) % 15.02/15.25 (assume @p267 (forall @t11 (=> @t16 (forall @t74 (=> @t41 (forall @t62 (=> @t129 (=> (and @t110 @t128) @t223)))))))) % 15.02/15.25 (assume @p268 (forall @t11 (=> @t59 (=> @t22 (and (= @t113 (tptp.relation_dom @t136)) (= @t54 (tptp.relation_rng @t136))))))) % 15.02/15.25 (assume @p269 (forall @t11 (=> @t16 (=> (forall @t52 @t168) @t80)))) % 15.02/15.25 (assume @p270 (forall @t6 (=> @t159 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t178)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t236 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t236 @t2) @t1))))))) % 15.02/15.25 (assume @p271 (forall @t21 (not (and @t5 @t233 (tptp.empty @t17))))) % 15.02/15.25 (assume @p272 (forall @t11 (=> @t16 (= @t91 (tptp.is_well_founded_in @t1 @t63))))) % 15.02/15.25 (assume @p273 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 15.02/15.25 (assume @p274 (forall @t6 (not (and @t43 @t7)))) % 15.02/15.25 (assume @p275 (forall @t11 (=> @t59 (=> @t22 (tptp.one_to_one @t136))))) % 15.02/15.25 (assume @p276 (forall @t21 (=> (and @t43 @t231) (tptp.disjoint @t1 @t17)))) % 15.02/15.25 (assume @p277 (forall @t11 (=> @t16 (=> (or @t238 @t237) @t80)))) % 15.02/15.25 (assume @p278 (forall @t11 (=> @t16 (= @t238 @t237)))) % 15.02/15.25 (assume @p279 (forall @t6 (= (= (tptp.set_difference @t1 @t169) @t1) @t4))) % 15.02/15.25 (assume @p280 (forall @t6 (=> @t159 (forall @t62 (=> @t129 (= (= @t2 @t173) (and (= @t166 (tptp.set_intersection2 @t127 @t1)) (forall @t57 (=> (tptp.in @t33 @t166) (= (tptp.apply @t2 @t33) @t124)))))))))) % 15.02/15.25 (assume @p281 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t72))) % 15.02/15.25 (assume @p282 (forall @t11 (=> @t10 @t80))) % 15.02/15.25 (assume @p283 (forall @t6 (=> (tptp.subset @t72 @t169) @t44))) % 15.02/15.25 (assume @p284 (forall @t21 (=> @t129 (=> @t174 @t239)))) % 15.02/15.25 (assume @p285 (forall @t11 (and (= (tptp.relation_dom @t39) @t1) (= (tptp.relation_rng @t39) @t1)))) % 15.02/15.25 (assume @p286 (forall @t21 (=> @t129 (=> @t3 @t239)))) % 15.02/15.25 (assume @p287 (forall @t71 (=> (tptp.relation @t33) (= (tptp.in @t117 (tptp.relation_composition (tptp.identity_relation @t17) @t33)) (and @t171 (tptp.in @t117 @t33)))))) % 15.02/15.25 (assume @p288 (forall @t6 (not (and @t5 @t87)))) % 15.02/15.25 (assume @p289 (forall @t6 (not (and @t5 (forall @t62 (not (and @t75 (forall @t57 (not (and @t48 @t56)))))))))) % 15.02/15.25 (assume @p290 (forall @t6 (tptp.subset @t1 @t28))) % 15.02/15.25 (assume @p291 (forall @t6 (= @t130 (= @t111 @t1)))) % 15.02/15.25 (assume @p292 (forall @t21 (=> @t18 (= (tptp.in @t1 (tptp.relation_dom @t185)) (and @t5 @t212))))) % 15.02/15.25 (assume @p293 (forall @t6 (=> @t41 (tptp.subset @t203 @t2)))) % 15.02/15.25 (assume @p294 (forall @t6 (not (and @t10 @t135 @t87)))) % 15.02/15.25 (assume @p295 (forall @t21 (=> @t129 (= @t213 (and @t212 (= @t2 @t215)))))) % 15.02/15.25 (assume @p296 (forall @t11 (=> @t16 (= (tptp.well_orders @t1 @t63) @t110)))) % 15.02/15.25 (assume @p297 (forall @t21 (=> (and @t43 @t99) (tptp.subset (tptp.set_union2 @t1 @t17) @t2)))) % 15.02/15.25 (assume @p298 (forall @t21 (=> @t240 @t44))) % 15.02/15.25 (assume @p299 (forall @t6 (=> @t41 (= (tptp.relation_dom @t203) @t189)))) % 15.02/15.25 (assume @p300 (forall @t6 (=> @t41 (= @t203 (tptp.relation_composition @t39 @t2))))) % 15.02/15.25 (assume @p301 (forall @t6 (=> @t41 (tptp.subset (tptp.relation_rng @t203) @t178)))) % 15.02/15.25 (assume @p302 (forall @t11 (= (tptp.union @t85) @t1))) % 15.02/15.25 (assume @p303 (forall @t11 (exists @t74 (and @t5 @t184 (forall @t62 (not (and @t75 (forall @t57 (not (and @t48 (forall @t55 (=> (tptp.subset @t45 @t17) @t70)))))))) @t182)))) % 15.02/15.25 (assume @p304 (forall @t21 (=> @t240 @t94))) % 15.02/15.25 (step @p305 :rule aci_norm :args ((= (or @t242 (or @t241 @t191)) @t243))) % 15.02/15.25 (step @p306 :rule bool-impl-elim :args (@t192 @t191)) % 15.02/15.25 (step @p307 :rule refl :args (@t242)) % 15.02/15.25 (step @p308 :rule nary_cong :premises (@p307 @p306) :args ((or @t242 @t193))) % 15.02/15.25 (step @p309 :rule trans :premises (@p308 @p305)) % 15.02/15.25 (step @p310 :rule bool-impl-elim :args (@t194 @t193)) % 15.02/15.25 (step @p311 :rule trans :premises (@p310 @p309)) % 15.02/15.25 (step @p312 :rule cong :premises (@p311) :args (@t195)) % 15.02/15.25 (step @p313 :rule eq_resolve :premises (@p188 @p312)) % 15.02/15.25 (step @p314 :rule aci_norm :args ((= (or (or @t245 @t244) @t207) (or @t245 @t244 @t207)))) % 15.02/15.25 (step @p315 :rule refl :args (@t207)) % 15.02/15.25 (step @p316 :rule bool-and-de-morgan :args (@t43 @t209 true)) % 15.02/15.25 (step @p317 :rule nary_cong :premises (@p316 @p315) :args ((or (not @t210) @t207))) % 15.02/15.25 (step @p318 :rule trans :premises (@p317 @p314)) % 15.02/15.25 (step @p319 :rule bool-impl-elim :args (@t210 @t207)) % 15.02/15.25 (step @p320 :rule trans :premises (@p319 @p318)) % 15.02/15.25 (step @p321 :rule cong :premises (@p320) :args (@t211)) % 15.02/15.25 (step @p322 :rule eq_resolve :premises (@p203 @p321)) % 15.02/15.25 (step @p323 :rule instantiate :premises (@p322) :args ((@list @t251 @t249 @t248))) % 15.02/15.25 (step @p324 :rule bool-impl-elim :args (@t148 @t180)) % 15.02/15.25 (step @p325 :rule cong :premises (@p324) :args (@t181)) % 15.02/15.25 (step @p326 :rule eq_resolve :premises (@p177 @p325)) % 15.02/15.25 (step @p327 :rule instantiate :premises (@p326) :args ((@list @t252 @t249 @t250))) % 15.02/15.25 (step @p328 :rule aci_norm :args ((= (or @t242 (or @t245 @t191)) @t246))) % 15.02/15.25 (step @p329 :rule bool-impl-elim :args (@t43 @t191)) % 15.02/15.25 (step @p330 :rule nary_cong :premises (@p307 @p329) :args ((or @t242 @t198))) % 15.02/15.25 (step @p331 :rule trans :premises (@p330 @p328)) % 15.02/15.25 (step @p332 :rule bool-impl-elim :args (@t194 @t198)) % 15.02/15.25 (step @p333 :rule trans :premises (@p332 @p331)) % 15.02/15.25 (step @p334 :rule cong :premises (@p333) :args (@t199)) % 15.02/15.25 (step @p335 :rule cong :premises (@p334) :args (@t200)) % 15.02/15.25 (step @p336 :rule eq_resolve :premises (@p192 @p335)) % 15.02/15.25 (step @p337 :rule skolemize :premises (@p336)) % 15.02/15.25 (step @p338 :rule bool-double-not-elim :args (@t253)) % 15.02/15.25 (step @p339 :rule refl :args (@t258)) % 15.02/15.25 (step @p340 :rule nary_cong :premises (@p339 @p338) :args ((or @t258 (not @t257)))) % 15.02/15.25 (step @p341 :rule cnf_or_neg :args (@t258 0)) % 15.02/15.25 (step @p342 :rule eq_resolve :premises (@p341 @p340)) % 15.02/15.25 (step @p343 :rule reordering :premises (@p342) :args ((or @t253 @t258))) % 15.02/15.25 (step @p344 :rule chain_m_resolution :premises (@p343 @p337) :args (@t253 @t259 @t260)) % 15.02/15.25 (step @p345 :rule cnf_or_pos :args (@t263)) % 15.02/15.25 (step @p346 :rule reordering :premises (@p345) :args ((or @t257 @t262 (not @t263)))) % 15.02/15.25 (step @p347 :rule chain_m_resolution :premises (@p346 @p344 @p327) :args (@t262 (@list false false) (@list @t253 @t263))) % 15.02/15.25 (step @p348 :rule cnf_and_pos :args (@t262 1)) % 15.02/15.25 (step @p349 :rule reordering :premises (@p348) :args ((or @t261 (not @t262)))) % 15.02/15.25 (step @p350 :rule chain_m_resolution :premises (@p349 @p347) :args (@t261 (@list false) (@list @t262))) % 15.02/15.25 (step @p351 :rule bool-double-not-elim :args (@t255)) % 15.02/15.25 (step @p352 :rule nary_cong :premises (@p339 @p351) :args ((or @t258 (not @t256)))) % 15.02/15.25 (step @p353 :rule cnf_or_neg :args (@t258 1)) % 15.02/15.25 (step @p354 :rule eq_resolve :premises (@p353 @p352)) % 15.02/15.25 (step @p355 :rule reordering :premises (@p354) :args ((or @t255 @t258))) % 15.02/15.25 (step @p356 :rule chain_m_resolution :premises (@p355 @p337) :args (@t255 @t259 @t260)) % 15.02/15.25 (step @p357 :rule cnf_or_pos :args (@t266)) % 15.02/15.25 (step @p358 :rule reordering :premises (@p357) :args ((or @t256 @t265 @t264 (not @t266)))) % 15.02/15.25 (step @p359 :rule chain_m_resolution :premises (@p358 @p356 @p350 @p323) :args (@t264 (@list false false false) (@list @t255 @t261 @t266))) % 15.02/15.25 (step @p360 :rule cnf_or_neg :args (@t258 2)) % 15.02/15.25 (step @p361 :rule chain_m_resolution :premises (@p360 @p337) :args ((not @t254) @t259 @t260)) % 15.02/15.25 (step @p362 :rule cnf_or_pos :args (@t268)) % 0.38/15.32 (step @p363 :rule reordering :premises (@p362) :args ((or @t257 @t254 @t267 @t269))) % 0.38/15.32 (step @p364 :rule chain_m_resolution :premises (@p363 @p344 @p361 @p359) :args (@t269 (@list false true false) (@list @t253 @t254 @t264))) % 0.38/15.32 (assume-push @p371 @t270) % 0.38/15.32 (step @p366 :rule instantiate :premises (@p313) :args ((@list @t249 @t248 @t252 @t250))) % 0.38/15.32 (step-pop @p372 :rule scope :premises (@p366)) % 0.38/15.32 (step @p367 :rule process_scope :premises (@p372) :args (@t268)) % 0.38/15.32 (step @p369 :rule implies_elim :premises (@p367)) % 0.38/15.32 (step @p370 false :rule chain_m_resolution :premises (@p369 @p364 @p313) :args (false (@list true false) (@list @t268 @t270))) % 0.38/15.32 ) % 0.38/15.32 % SZS output end Proof % 0.38/15.32 % cvc5 exiting %------------------------------------------------------------------------------