%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU252+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 : n017.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:08 AM UTC 2026 % Result : Theorem 35.03s 35.21s % Output : Proof 35.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU252+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 : n017.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 16:46:16 EDT 2026 % 0.18/0.34 % CPUTime : % 0.39/0.56 %----Proving TF0_NAR, FOF, or CNF % 35.03/35.21 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.03/35.21 --- Run --no-e-matching --full-saturate-quant at 6... % 35.03/35.21 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.03/35.21 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.03/35.21 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.03/35.21 % SZS status Theorem % 35.03/35.21 % SZS output start Proof % 35.03/35.21 ( % 35.03/35.21 (declare-sort $$unsorted 0) % 35.03/35.21 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.connected (-> $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.empty_set $$unsorted) % 35.03/35.21 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.empty (-> $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.function (-> $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.transitive (-> $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.relation (-> $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 35.03/35.21 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 35.03/35.21 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.03/35.21 (define @t1 () (@var "A" $$unsorted)) % 35.03/35.21 (define @t2 () (@var "B" $$unsorted)) % 35.03/35.21 (define @t3 () (tptp.in @t2 @t1)) % 35.03/35.21 (define @t4 () (not @t3)) % 35.03/35.21 (define @t5 () (tptp.in @t1 @t2)) % 35.03/35.21 (define @t6 () (@list @t1 @t2)) % 35.03/35.21 (define @t7 () (tptp.proper_subset @t2 @t1)) % 35.03/35.21 (define @t8 () (tptp.proper_subset @t1 @t2)) % 35.03/35.21 (define @t9 () (tptp.function @t1)) % 35.03/35.21 (define @t10 () (tptp.empty @t1)) % 35.03/35.21 (define @t11 () (@list @t1)) % 35.03/35.21 (define @t12 () (tptp.epsilon_connected @t1)) % 35.03/35.21 (define @t13 () (tptp.epsilon_transitive @t1)) % 35.03/35.21 (define @t14 () (and @t13 @t12)) % 35.03/35.21 (define @t15 () (tptp.ordinal @t1)) % 35.03/35.21 (define @t16 () (tptp.relation @t1)) % 35.03/35.21 (define @t17 () (tptp.one_to_one @t1)) % 35.03/35.21 (define @t18 () (and @t16 @t9 @t17)) % 35.03/35.21 (define @t19 () (and @t16 @t10 @t9)) % 35.03/35.21 (define @t20 () (and @t13 @t12 @t15)) % 35.03/35.21 (define @t21 () (tptp.unordered_pair @t1 @t2)) % 35.03/35.21 (define @t22 () (tptp.set_union2 @t2 @t1)) % 35.03/35.21 (define @t23 () (tptp.set_union2 @t1 @t2)) % 35.03/35.21 (define @t24 () (tptp.set_intersection2 @t1 @t2)) % 35.03/35.21 (define @t25 () (tptp.ordinal_subset @t1 @t2)) % 35.03/35.21 (define @t26 () (tptp.ordinal @t2)) % 35.03/35.21 (define @t27 () (and @t15 @t26)) % 35.03/35.21 (define @t28 () (@var "D" $$unsorted)) % 35.03/35.21 (define @t29 () (@var "C" $$unsorted)) % 35.03/35.21 (define @t30 () (= @t29 @t28)) % 35.03/35.21 (define @t31 () (tptp.in @t29 @t1)) % 35.03/35.21 (define @t32 () (tptp.ordered_pair @t29 @t28)) % 35.03/35.21 (define @t33 () (tptp.in @t32 @t2)) % 35.03/35.21 (define @t34 () (@list @t29 @t28)) % 35.03/35.21 (define @t35 () (tptp.identity_relation @t1)) % 35.03/35.21 (define @t36 () (= @t2 @t35)) % 35.03/35.21 (define @t37 () (tptp.relation @t2)) % 35.03/35.21 (define @t38 () (tptp.subset @t2 @t1)) % 35.03/35.21 (define @t39 () (tptp.subset @t1 @t2)) % 35.03/35.21 (define @t40 () (= @t1 @t2)) % 35.03/35.21 (define @t41 () (@var "E" $$unsorted)) % 35.03/35.21 (define @t42 () (tptp.ordered_pair @t28 @t41)) % 35.03/35.21 (define @t43 () (tptp.in @t42 @t1)) % 35.03/35.21 (define @t44 () (tptp.in @t28 @t2)) % 35.03/35.21 (define @t45 () (tptp.in @t42 @t29)) % 35.03/35.21 (define @t46 () (@list @t28 @t41)) % 35.03/35.21 (define @t47 () (tptp.relation_dom_restriction @t1 @t2)) % 35.03/35.21 (define @t48 () (tptp.relation @t29)) % 35.03/35.21 (define @t49 () (@list @t2 @t29)) % 35.03/35.21 (define @t50 () (tptp.in @t41 @t2)) % 35.03/35.21 (define @t51 () (tptp.relation_dom @t1)) % 35.03/35.21 (define @t52 () (@list @t41)) % 35.03/35.21 (define @t53 () (tptp.in @t28 @t29)) % 35.03/35.21 (define @t54 () (@list @t28)) % 35.03/35.21 (define @t55 () (= @t29 (tptp.relation_image @t1 @t2))) % 35.03/35.21 (define @t56 () (and @t16 @t9)) % 35.03/35.21 (define @t57 () (tptp.in @t41 @t1)) % 35.03/35.21 (define @t58 () (tptp.relation_rng_restriction @t1 @t2)) % 35.03/35.21 (define @t59 () (@list @t29)) % 35.03/35.21 (define @t60 () (tptp.relation_field @t1)) % 35.03/35.21 (define @t61 () (tptp.antisymmetric @t1)) % 35.03/35.21 (define @t62 () (tptp.apply @t1 @t28)) % 35.03/35.21 (define @t63 () (tptp.in @t28 @t51)) % 35.03/35.21 (define @t64 () (= @t29 (tptp.relation_inverse_image @t1 @t2))) % 35.03/35.21 (define @t65 () (tptp.connected @t1)) % 35.03/35.21 (define @t66 () (tptp.transitive @t1)) % 35.03/35.21 (define @t67 () (tptp.in @t41 @t28)) % 35.03/35.21 (define @t68 () (@list @t1 @t2 @t29 @t28)) % 35.03/35.21 (define @t69 () (tptp.singleton @t1)) % 35.03/35.21 (define @t70 () (tptp.succ @t1)) % 35.03/35.21 (define @t71 () (@list @t2)) % 35.03/35.21 (define @t72 () (tptp.in @t29 @t2)) % 35.03/35.21 (define @t73 () (tptp.is_reflexive_in @t1 @t2)) % 35.03/35.21 (define @t74 () (= @t2 tptp.empty_set)) % 35.03/35.21 (define @t75 () (= @t2 (tptp.set_meet @t1))) % 35.03/35.21 (define @t76 () (= @t1 tptp.empty_set)) % 35.03/35.21 (define @t77 () (tptp.in @t29 @t28)) % 35.03/35.21 (define @t78 () (tptp.in @t28 @t1)) % 35.03/35.21 (define @t79 () (not @t76)) % 35.03/35.21 (define @t80 () (= @t28 @t2)) % 35.03/35.21 (define @t81 () (tptp.powerset @t1)) % 35.03/35.21 (define @t82 () (tptp.in @t32 @t1)) % 35.03/35.21 (define @t83 () (tptp.empty @t2)) % 35.03/35.21 (define @t84 () (tptp.element @t2 @t1)) % 35.03/35.21 (define @t85 () (not @t10)) % 35.03/35.21 (define @t86 () (@list @t1 @t2 @t29)) % 35.03/35.21 (define @t87 () (not @t74)) % 35.03/35.21 (define @t88 () (tptp.well_founded_relation @t1)) % 35.03/35.21 (define @t89 () (@var "F" $$unsorted)) % 35.03/35.21 (define @t90 () (tptp.cartesian_product2 @t1 @t2)) % 35.03/35.21 (define @t91 () (not @t72)) % 35.03/35.21 (define @t92 () (= @t2 @t29)) % 35.03/35.21 (define @t93 () (not @t92)) % 35.03/35.21 (define @t94 () (tptp.in @t2 @t29)) % 35.03/35.21 (define @t95 () (forall @t59 (=> @t31 @t72))) % 35.03/35.21 (define @t96 () (= @t29 tptp.empty_set)) % 35.03/35.21 (define @t97 () (tptp.subset @t29 @t2)) % 35.03/35.21 (define @t98 () (tptp.is_well_founded_in @t1 @t2)) % 35.03/35.21 (define @t99 () (forall @t54 (= @t53 (and @t78 @t44)))) % 35.03/35.21 (define @t100 () (= (= @t29 @t24) @t99)) % 35.03/35.21 (define @t101 () (forall @t86 @t100)) % 35.03/35.21 (define @t102 () (tptp.apply @t1 @t2)) % 35.03/35.21 (define @t103 () (= @t29 @t102)) % 35.03/35.21 (define @t104 () (tptp.in @t2 @t51)) % 35.03/35.21 (define @t105 () (tptp.in (tptp.ordered_pair @t2 @t29) @t1)) % 35.03/35.21 (define @t106 () (tptp.in (tptp.ordered_pair @t28 @t29) @t1)) % 35.03/35.21 (define @t107 () (tptp.is_antisymmetric_in @t1 @t2)) % 35.03/35.21 (define @t108 () (tptp.cast_to_subset @t1)) % 35.03/35.21 (define @t109 () (tptp.union @t1)) % 35.03/35.21 (define @t110 () (tptp.reflexive @t1)) % 35.03/35.21 (define @t111 () (tptp.well_ordering @t1)) % 35.03/35.21 (define @t112 () (tptp.set_difference @t1 @t2)) % 35.03/35.21 (define @t113 () (and @t63 (= @t29 @t62))) % 35.03/35.21 (define @t114 () (tptp.relation_rng @t1)) % 35.03/35.21 (define @t115 () (= @t2 @t114)) % 35.03/35.21 (define @t116 () (tptp.subset_complement @t1 @t2)) % 35.03/35.21 (define @t117 () (tptp.element @t2 @t81)) % 35.03/35.21 (define @t118 () (tptp.ordered_pair @t1 @t2)) % 35.03/35.21 (define @t119 () (tptp.is_connected_in @t1 @t2)) % 35.03/35.21 (define @t120 () (tptp.is_transitive_in @t1 @t2)) % 35.03/35.21 (define @t121 () (tptp.being_limit_ordinal @t1)) % 35.03/35.21 (define @t122 () (tptp.cartesian_product2 @t2 @t2)) % 35.03/35.21 (define @t123 () (tptp.relation_restriction @t1 @t2)) % 35.03/35.21 (define @t124 () (forall @t71 (= @t123 (tptp.set_intersection2 @t1 @t122)))) % 35.03/35.21 (define @t125 () (forall @t11 (=> @t16 @t124))) % 35.03/35.21 (define @t126 () (tptp.relation_inverse @t1)) % 35.03/35.21 (define @t127 () (tptp.disjoint @t1 @t2)) % 35.03/35.21 (define @t128 () (tptp.relation_composition @t1 @t2)) % 35.03/35.21 (define @t129 () (tptp.complements_of_subsets @t1 @t2)) % 35.03/35.21 (define @t130 () (tptp.powerset @t81)) % 35.03/35.21 (define @t131 () (tptp.element @t2 @t130)) % 35.03/35.21 (define @t132 () (not @t40)) % 35.03/35.21 (define @t133 () (tptp.function_inverse @t1)) % 35.03/35.21 (define @t134 () (tptp.relation @t123)) % 35.03/35.21 (define @t135 () (forall @t6 (=> @t16 @t134))) % 35.03/35.21 (define @t136 () (tptp.relation @t126)) % 35.03/35.21 (define @t137 () (tptp.relation @t128)) % 35.03/35.21 (define @t138 () (and @t16 @t37)) % 35.03/35.21 (define @t139 () (tptp.union_of_subsets @t1 @t2)) % 35.03/35.21 (define @t140 () (tptp.relation @t35)) % 35.03/35.21 (define @t141 () (tptp.meet_of_subsets @t1 @t2)) % 35.03/35.21 (define @t142 () (tptp.subset_difference @t1 @t2 @t29)) % 35.03/35.21 (define @t143 () (tptp.element @t29 @t81)) % 35.03/35.21 (define @t144 () (and @t117 @t143)) % 35.03/35.21 (define @t145 () (tptp.relation @t47)) % 35.03/35.21 (define @t146 () (tptp.relation @t58)) % 35.03/35.21 (define @t147 () (tptp.relation_composition @t2 @t1)) % 35.03/35.21 (define @t148 () (and @t10 @t37)) % 35.03/35.21 (define @t149 () (tptp.relation_empty_yielding tptp.empty_set)) % 35.03/35.21 (define @t150 () (tptp.relation tptp.empty_set)) % 35.03/35.21 (define @t151 () (tptp.empty tptp.empty_set)) % 35.03/35.21 (define @t152 () (tptp.relation_empty_yielding @t1)) % 35.03/35.21 (define @t153 () (and @t16 @t152)) % 35.03/35.21 (define @t154 () (tptp.function @t2)) % 35.03/35.21 (define @t155 () (not (tptp.empty @t70))) % 35.03/35.21 (define @t156 () (not @t83)) % 35.03/35.21 (define @t157 () (and @t37 @t154)) % 35.03/35.21 (define @t158 () (tptp.empty @t51)) % 35.03/35.21 (define @t159 () (and @t85 @t16)) % 35.03/35.21 (define @t160 () (tptp.empty @t114)) % 35.03/35.21 (define @t161 () (tptp.ordered_pair @t2 @t2)) % 35.03/35.21 (define @t162 () (tptp.in @t161 @t1)) % 35.03/35.21 (define @t163 () (tptp.in @t2 @t60)) % 35.03/35.21 (define @t164 () (forall @t71 (=> @t163 @t162))) % 35.03/35.21 (define @t165 () (= @t110 @t164)) % 35.03/35.21 (define @t166 () (=> @t16 @t165)) % 35.03/35.21 (define @t167 () (forall @t11 @t166)) % 35.03/35.21 (define @t168 () (tptp.disjoint @t69 @t2)) % 35.03/35.21 (define @t169 () (not @t5)) % 35.03/35.21 (define @t170 () (tptp.relation_dom @t2)) % 35.03/35.21 (define @t171 () (tptp.in (tptp.ordered_pair @t29 @t2) @t1)) % 35.03/35.21 (define @t172 () (not @t105)) % 35.03/35.21 (define @t173 () (tptp.singleton @t2)) % 35.03/35.21 (define @t174 () (tptp.union @t2)) % 35.03/35.21 (define @t175 () (tptp.in @t1 @t29)) % 35.03/35.21 (define @t176 () (forall @t68 (= (tptp.in @t118 (tptp.cartesian_product2 @t29 @t28)) (and @t175 (tptp.in @t2 @t28))))) % 35.03/35.21 (define @t177 () (tptp.element @t1 (tptp.powerset @t2))) % 35.03/35.21 (define @t178 () (tptp.relation_dom @t29)) % 35.03/35.21 (define @t179 () (tptp.relation_dom_restriction @t29 @t1)) % 35.03/35.21 (define @t180 () (tptp.in @t2 (tptp.relation_dom @t179))) % 35.03/35.21 (define @t181 () (and @t48 (tptp.function @t29))) % 35.03/35.21 (define @t182 () (tptp.set_difference @t2 @t29)) % 35.03/35.21 (define @t183 () (= @t1 @t29)) % 35.03/35.21 (define @t184 () (tptp.relation_rng @t29)) % 35.03/35.21 (define @t185 () (tptp.relation_rng @t58)) % 35.03/35.21 (define @t186 () (tptp.relation_rng @t2)) % 35.03/35.21 (define @t187 () (tptp.cartesian_product2 @t1 @t29)) % 35.03/35.21 (define @t188 () (forall @t59 (not (and @t97 (not (tptp.are_equipotent @t29 @t2)) @t91)))) % 35.03/35.21 (define @t189 () (tptp.powerset @t29)) % 35.03/35.21 (define @t190 () (forall @t34 (=> (and @t72 (tptp.subset @t28 @t29)) @t44))) % 35.03/35.21 (define @t191 () (tptp.relation_dom_restriction @t29 @t2)) % 35.03/35.21 (define @t192 () (tptp.relation_image @t2 @t1)) % 35.03/35.21 (define @t193 () (tptp.relation_inverse_image @t2 @t1)) % 35.03/35.21 (define @t194 () (tptp.relation_image @t2 @t193)) % 35.03/35.21 (define @t195 () (tptp.set_intersection2 @t170 @t1)) % 35.03/35.21 (define @t196 () (tptp.subset @t1 @t186)) % 35.03/35.21 (define @t197 () (tptp.relation_rng @t128)) % 35.03/35.21 (define @t198 () (tptp.relation_inverse_image @t29 @t2)) % 35.03/35.21 (define @t199 () (tptp.relation_restriction @t29 @t2)) % 35.03/35.21 (define @t200 () (tptp.relation_restriction @t2 @t1)) % 35.03/35.21 (define @t201 () (tptp.relation_dom_restriction @t2 @t1)) % 35.03/35.21 (define @t202 () (tptp.relation_field @t29)) % 35.03/35.21 (define @t203 () (tptp.in @t1 @t202)) % 35.03/35.21 (define @t204 () (and @t203 @t5)) % 35.03/35.21 (define @t205 () (tptp.in @t1 (tptp.relation_field @t199))) % 35.03/35.21 (define @t206 () (=> @t205 @t204)) % 35.03/35.21 (define @t207 () (forall @t86 (=> @t48 @t206))) % 35.03/35.21 (define @t208 () (tptp.set_intersection2 @t2 @t29)) % 35.03/35.21 (define @t209 () (tptp.subset @t1 @t29)) % 35.03/35.21 (define @t210 () (tptp.element @t1 @t2)) % 35.03/35.21 (define @t211 () (tptp.in @t1 @t178)) % 35.03/35.21 (define @t212 () (tptp.in @t118 @t29)) % 35.03/35.21 (define @t213 () (tptp.relation_field @t200)) % 35.03/35.21 (define @t214 () (tptp.apply @t29 @t1)) % 35.03/35.21 (define @t215 () (tptp.relation_composition @t29 @t2)) % 35.03/35.21 (define @t216 () (tptp.in @t1 (tptp.relation_dom @t215))) % 35.03/35.21 (define @t217 () (tptp.reflexive @t200)) % 35.03/35.21 (define @t218 () (tptp.reflexive @t2)) % 35.03/35.21 (define @t219 () (=> @t218 @t217)) % 35.03/35.21 (define @t220 () (forall @t6 (=> @t37 @t219))) % 35.03/35.21 (define @t221 () (not @t220)) % 35.03/35.21 (define @t222 () (tptp.apply @t2 @t29)) % 35.03/35.21 (define @t223 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 35.03/35.21 (define @t224 () (and @t31 @t72)) % 35.03/35.21 (define @t225 () (not @t127)) % 35.03/35.21 (define @t226 () (tptp.succ @t2)) % 35.03/35.21 (define @t227 () (= @t1 @t226)) % 35.03/35.21 (define @t228 () (tptp.subset_complement @t1 @t29)) % 35.03/35.21 (define @t229 () (tptp.disjoint @t2 @t29)) % 35.03/35.21 (define @t230 () (tptp.relation_dom @t128)) % 35.03/35.21 (define @t231 () (tptp.element @t2 @t189)) % 35.03/35.21 (define @t232 () (tptp.in @t29 @t24)) % 35.03/35.21 (define @t233 () (and (tptp.in @t29 @t114) (= @t28 @t222))) % 35.03/35.21 (define @t234 () (tptp.function_inverse @t2)) % 35.03/35.21 (define @t235 () (= @t114 tptp.empty_set)) % 35.03/35.21 (define @t236 () (= @t51 tptp.empty_set)) % 35.03/35.21 (define @t237 () (= (tptp.apply @t179 @t2) (tptp.apply @t29 @t2))) % 35.03/35.21 (define @t238 () (= @t69 (tptp.unordered_pair @t2 @t29))) % 35.03/35.21 (define @t239 () (not @t205)) % 35.03/35.21 (define @t240 () (not @t48)) % 35.03/35.21 (define @t241 () (not @t218)) % 35.03/35.21 (define @t242 () (not @t37)) % 35.03/35.21 (define @t243 () (or @t242 @t241 @t217)) % 35.03/35.21 (define @t244 () (forall @t6 @t243)) % 35.03/35.21 (define @t245 () (@quantifiers_skolemize @t244 1)) % 35.03/35.21 (define @t246 () (@quantifiers_skolemize @t244 0)) % 35.03/35.21 (define @t247 () (tptp.relation_restriction @t245 @t246)) % 35.03/35.21 (define @t248 () (tptp.relation_field @t247)) % 35.03/35.21 (define @t249 () (forall @t71 (or (not (tptp.in @t2 @t248)) (tptp.in @t161 @t247)))) % 35.03/35.21 (define @t250 () (@quantifiers_skolemize @t249 0)) % 35.03/35.21 (define @t251 () (= @t110 (forall @t71 (or (not @t163) @t162)))) % 35.03/35.21 (define @t252 () (@list @t245 @t246)) % 35.03/35.21 (define @t253 () (tptp.relation @t245)) % 35.03/35.21 (define @t254 () (tptp.reflexive @t247)) % 35.03/35.21 (define @t255 () (tptp.reflexive @t245)) % 35.03/35.21 (define @t256 () (not @t255)) % 35.03/35.21 (define @t257 () (not @t253)) % 35.03/35.21 (define @t258 () (or @t257 @t256 @t254)) % 35.03/35.21 (define @t259 () (@list true)) % 35.03/35.21 (define @t260 () (@list @t258)) % 35.03/35.21 (define @t261 () (tptp.relation @t247)) % 35.03/35.21 (define @t262 () (or @t257 @t261)) % 35.03/35.21 (define @t263 () (@list false false)) % 35.03/35.21 (define @t264 () (= @t254 @t249)) % 35.03/35.21 (define @t265 () (not @t261)) % 35.03/35.21 (define @t266 () (or @t265 @t264)) % 35.03/35.21 (define @t267 () (not @t249)) % 35.03/35.21 (define @t268 () (@list true false)) % 35.03/35.21 (define @t269 () (tptp.in @t250 @t248)) % 35.03/35.21 (define @t270 () (tptp.ordered_pair @t250 @t250)) % 35.03/35.21 (define @t271 () (tptp.in @t270 @t247)) % 35.03/35.21 (define @t272 () (not @t269)) % 35.03/35.21 (define @t273 () (or @t272 @t271)) % 35.03/35.21 (define @t274 () (@list @t273)) % 35.03/35.21 (define @t275 () (tptp.in @t250 @t246)) % 35.03/35.21 (define @t276 () (tptp.relation_field @t245)) % 35.03/35.21 (define @t277 () (tptp.in @t250 @t276)) % 35.03/35.21 (define @t278 () (and @t277 @t275)) % 35.03/35.21 (define @t279 () (or @t257 @t272 @t278)) % 35.03/35.21 (define @t280 () (not @t278)) % 35.03/35.21 (define @t281 () (@list false)) % 35.03/35.21 (define @t282 () (@list @t278)) % 35.03/35.21 (define @t283 () (forall @t71 (or (not (tptp.in @t2 @t276)) (tptp.in @t161 @t245)))) % 35.03/35.21 (define @t284 () (= @t255 @t283)) % 35.03/35.21 (define @t285 () (or @t257 @t284)) % 35.03/35.21 (define @t286 () (tptp.in @t270 @t245)) % 35.03/35.21 (define @t287 () (not @t277)) % 35.03/35.21 (define @t288 () (or @t287 @t286)) % 35.03/35.21 (define @t289 () (= @t24 @t29)) % 35.03/35.21 (define @t290 () (tptp.cartesian_product2 @t246 @t246)) % 35.03/35.21 (define @t291 () (forall @t54 (= (tptp.in @t28 @t247) (and (tptp.in @t28 @t245) (tptp.in @t28 @t290))))) % 35.03/35.21 (define @t292 () (tptp.set_intersection2 @t245 @t290)) % 35.03/35.21 (define @t293 () (= @t247 @t292)) % 35.03/35.21 (define @t294 () (= @t291 (= @t292 @t247))) % 35.03/35.21 (define @t295 () (forall @t86 (= @t99 @t289))) % 35.03/35.21 (define @t296 () (= @t293 @t291)) % 35.03/35.21 (define @t297 () (@var "BOUND_VARIABLE_9893" $$unsorted)) % 35.03/35.21 (define @t298 () (= (tptp.relation_restriction @t1 @t297) (tptp.set_intersection2 @t1 (tptp.cartesian_product2 @t297 @t297)))) % 35.03/35.21 (define @t299 () (not @t16)) % 35.03/35.21 (define @t300 () (or @t299 @t298)) % 35.03/35.21 (define @t301 () (@list @t297)) % 35.03/35.21 (define @t302 () (forall @t301 @t300)) % 35.03/35.21 (define @t303 () (forall @t301 @t298)) % 35.03/35.21 (define @t304 () (or @t299 @t303)) % 35.03/35.21 (define @t305 () (or @t257 @t293)) % 35.03/35.21 (define @t306 () (tptp.in @t270 @t290)) % 35.03/35.21 (define @t307 () (and @t286 @t306)) % 35.03/35.21 (define @t308 () (= @t271 @t307)) % 35.03/35.21 (define @t309 () (not @t307)) % 35.03/35.21 (define @t310 () (= @t306 @t275)) % 35.03/35.21 (define @t311 () (not @t310)) % 35.03/35.21 (define @t312 () (and @t275 @t275)) % 35.03/35.21 (define @t313 () (= @t306 @t312)) % 35.03/35.21 (assume @p1 (forall @t6 (=> @t5 @t4))) % 35.03/35.21 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 35.03/35.21 (assume @p3 (forall @t11 (=> @t10 @t9))) % 35.03/35.21 (assume @p4 (forall @t11 (=> @t15 @t14))) % 35.03/35.21 (assume @p5 (forall @t11 (=> @t10 @t16))) % 35.03/35.21 (assume @p6 (forall @t11 (=> @t19 @t18))) % 35.03/35.21 (assume @p7 (forall @t11 (=> @t14 @t15))) % 35.03/35.21 (assume @p8 (forall @t11 (=> @t10 @t20))) % 35.03/35.21 (assume @p9 (forall @t6 (= @t21 (tptp.unordered_pair @t2 @t1)))) % 35.03/35.21 (assume @p10 (forall @t6 (= @t23 @t22))) % 35.03/35.21 (assume @p11 (forall @t6 (= @t24 (tptp.set_intersection2 @t2 @t1)))) % 35.03/35.21 (assume @p12 (forall @t6 (=> @t27 (or @t25 (tptp.ordinal_subset @t2 @t1))))) % 35.03/35.21 (assume @p13 (forall @t6 (=> @t37 (= @t36 (forall @t34 (= @t33 (and @t31 @t30))))))) % 35.03/35.21 (assume @p14 (forall @t6 (= @t40 (and @t39 @t38)))) % 35.03/35.21 (assume @p15 (forall @t11 (=> @t16 (forall @t49 (=> @t48 (= (= @t29 @t47) (forall @t46 (= @t45 (and @t44 @t43))))))))) % 35.03/35.21 (assume @p16 (forall @t11 (=> @t56 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in @t41 @t51) @t50 (= @t28 (tptp.apply @t1 @t41))))))))))) % 35.03/35.21 (assume @p17 (forall @t6 (=> @t37 (forall @t59 (=> @t48 (= (= @t29 @t58) (forall @t46 (= @t45 (and @t57 (tptp.in @t42 @t2)))))))))) % 35.03/35.21 (assume @p18 (forall @t11 (=> @t16 (= @t61 (tptp.is_antisymmetric_in @t1 @t60))))) % 35.03/35.21 (assume @p19 (forall @t11 (=> @t56 (forall @t49 (= @t64 (forall @t54 (= @t53 (and @t63 (tptp.in @t62 @t2))))))))) % 35.03/35.21 (assume @p20 (forall @t11 (=> @t16 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in (tptp.ordered_pair @t41 @t28) @t1) @t50))))))))) % 35.03/35.21 (assume @p21 (forall @t11 (=> @t16 (forall @t49 (= @t64 (forall @t54 (= @t53 (exists @t52 (and @t43 @t50))))))))) % 35.03/35.21 (assume @p22 (forall @t11 (=> @t16 (= @t65 (tptp.is_connected_in @t1 @t60))))) % 35.03/35.21 (assume @p23 (forall @t11 (=> @t16 (= @t66 (tptp.is_transitive_in @t1 @t60))))) % 35.03/35.21 (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))))))))) % 35.03/35.21 (assume @p25 (forall @t11 (= @t70 (tptp.set_union2 @t1 @t69)))) % 35.03/35.21 (assume @p26 (forall @t11 (= @t16 (forall @t71 (not (and @t3 (forall @t34 (not (= @t2 @t32))))))))) % 35.03/35.21 (assume @p27 (forall @t11 (=> @t16 (forall @t71 (= @t73 (forall @t59 (=> @t72 (tptp.in (tptp.ordered_pair @t29 @t29) @t1)))))))) % 35.03/35.21 (assume @p28 (forall @t6 (and (=> @t79 (= @t75 (forall @t59 (= @t72 (forall @t54 (=> @t78 @t77)))))) (=> @t76 (= @t75 @t74))))) % 35.03/35.21 (assume @p29 (forall @t6 (= (= @t2 @t69) (forall @t59 (= @t72 (= @t29 @t1)))))) % 35.03/35.21 (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))))))))) % 35.03/35.21 (assume @p31 (forall @t11 (= @t76 (forall @t71 @t4)))) % 35.03/35.21 (assume @p32 (forall @t6 (= (= @t2 @t81) (forall @t59 (= @t72 (tptp.subset @t29 @t1)))))) % 35.03/35.21 (assume @p33 (forall @t11 (= @t13 (forall @t71 (=> @t3 @t38))))) % 35.03/35.21 (assume @p34 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t40 (forall @t34 (= @t82 @t33)))))))) % 35.03/35.21 (assume @p35 (forall @t6 (and (=> @t85 (= @t84 @t3)) (=> @t10 (= @t84 @t83))))) % 35.03/35.21 (assume @p36 (forall @t86 (= (= @t29 @t21) (forall @t54 (= @t53 (or (= @t28 @t1) @t80)))))) % 35.03/35.21 (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))))))))))) % 35.03/35.21 (assume @p38 (forall @t86 (= (= @t29 @t23) (forall @t54 (= @t53 (or @t78 @t44)))))) % 35.03/35.21 (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))))))))) % 35.03/35.21 (assume @p40 (forall @t11 (= @t12 (forall @t49 (not (and @t3 @t31 (not @t94) @t93 @t91)))))) % 35.03/35.21 (assume @p41 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t39 (forall @t34 (=> @t82 @t33)))))))) % 35.03/35.21 (assume @p42 (forall @t6 (= @t39 @t95))) % 35.03/35.21 (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)))))))))))) % 35.03/35.21 (assume @p44 @t101) % 35.03/35.21 (assume @p45 (forall @t11 (=> @t56 (forall @t49 (and (=> @t104 (= @t103 @t105)) (=> (not @t104) (= @t103 @t96))))))) % 35.03/35.21 (assume @p46 (forall @t11 (= @t15 @t14))) % 35.03/35.21 (assume @p47 (forall @t11 (=> @t16 (forall @t71 (= (= @t2 @t51) (forall @t59 (= @t72 (exists @t54 @t82)))))))) % 35.03/35.21 (assume @p48 (forall @t11 (=> @t16 (forall @t71 (= @t107 (forall @t34 (=> (and @t72 @t44 @t82 @t106) @t30))))))) % 35.03/35.21 (assume @p49 (forall @t11 (= @t108 @t1))) % 35.03/35.21 (assume @p50 (forall @t6 (= (= @t2 @t109) (forall @t59 (= @t72 (exists @t54 (and @t77 @t78))))))) % 35.03/35.21 (assume @p51 (forall @t11 (=> @t16 (= @t111 (and @t110 @t66 @t61 @t65 @t88))))) % 35.03/35.21 (assume @p52 (forall @t86 (= (= @t29 @t112) (forall @t54 (= @t53 (and @t78 (not @t44))))))) % 35.03/35.21 (assume @p53 (forall @t11 (=> @t56 (forall @t71 (= @t115 (forall @t59 (= @t72 (exists @t54 @t113)))))))) % 35.03/35.21 (assume @p54 (forall @t11 (=> @t16 (forall @t71 (= @t115 (forall @t59 (= @t72 (exists @t54 @t106)))))))) % 35.03/35.21 (assume @p55 (forall @t6 (=> @t117 (= @t116 @t112)))) % 35.03/35.21 (assume @p56 (forall @t6 (= @t118 (tptp.unordered_pair @t21 @t69)))) % 35.03/35.21 (assume @p57 (forall @t11 (=> @t16 (forall @t71 (= (tptp.well_orders @t1 @t2) (and @t73 @t120 @t107 @t119 @t98)))))) % 35.03/35.21 (assume @p58 (forall @t11 (= @t121 (= @t1 @t109)))) % 35.03/35.21 (assume @p59 (forall @t11 (=> @t16 (= @t60 (tptp.set_union2 @t51 @t114))))) % 35.03/35.21 (assume @p60 (forall @t11 (=> @t16 (forall @t71 (= @t119 (forall @t34 (not (and @t72 @t44 (not @t30) (not @t82) (not @t106))))))))) % 35.03/35.21 (assume @p61 @t125) % 35.03/35.21 (assume @p62 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= (= @t2 @t126) (forall @t34 (= @t33 @t106)))))))) % 35.03/35.21 (assume @p63 (forall @t6 (= @t127 (= @t24 tptp.empty_set)))) % 35.03/35.21 (assume @p64 (forall @t11 (=> @t56 (= @t17 (forall @t49 (=> (and @t104 (tptp.in @t29 @t51) (= @t102 (tptp.apply @t1 @t29))) @t92)))))) % 35.03/35.21 (assume @p65 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (forall @t59 (=> @t48 (= (= @t29 @t128) (forall @t46 (= @t45 (exists (@list @t89) (and (tptp.in (tptp.ordered_pair @t28 @t89) @t1) (tptp.in (tptp.ordered_pair @t89 @t41) @t2))))))))))))) % 35.03/35.21 (assume @p66 (forall @t11 (=> @t16 (forall @t71 (= @t120 (forall (@list @t29 @t28 @t41) (=> (and @t72 @t44 @t50 @t82 @t43) (tptp.in (tptp.ordered_pair @t29 @t41) @t1)))))))) % 35.03/35.21 (assume @p67 (forall @t6 (=> @t131 (forall @t59 (=> (tptp.element @t29 @t130) (= (= @t29 @t129) (forall @t54 (=> (tptp.element @t28 @t81) (= @t53 (tptp.in (tptp.subset_complement @t1 @t28) @t2)))))))))) % 35.03/35.21 (assume @p68 (forall @t6 (= @t8 (and @t39 @t132)))) % 35.03/35.21 (assume @p69 (forall @t11 (=> @t56 (=> @t17 (= @t133 @t126))))) % 35.03/35.21 (assume @p70 (forall @t11 (=> @t16 (= @t110 (tptp.is_reflexive_in @t1 @t60))))) % 35.03/35.21 (assume @p71 true) % 35.03/35.21 (assume @p72 (forall @t11 (=> @t56 (and (tptp.relation @t133) (tptp.function @t133))))) % 35.03/35.21 (assume @p73 (forall @t11 (tptp.element @t108 @t81))) % 35.03/35.21 (assume @p74 @t135) % 35.03/35.21 (assume @p75 (forall @t6 (=> @t117 (tptp.element @t116 @t81)))) % 35.03/35.21 (assume @p76 (forall @t11 (=> @t16 @t136))) % 35.03/35.21 (assume @p77 (forall @t6 (=> @t138 @t137))) % 35.03/35.21 (assume @p78 (forall @t6 (=> @t131 (tptp.element @t139 @t81)))) % 35.03/35.21 (assume @p79 (forall @t11 @t140)) % 35.03/35.21 (assume @p80 (forall @t6 (=> @t131 (tptp.element @t141 @t81)))) % 35.03/35.21 (assume @p81 (forall @t86 (=> @t144 (tptp.element @t142 @t81)))) % 35.03/35.21 (assume @p82 (forall @t6 (=> @t16 @t145))) % 35.03/35.21 (assume @p83 (forall @t6 (=> @t131 (tptp.element @t129 @t130)))) % 35.03/35.21 (assume @p84 (forall @t6 (=> @t37 @t146))) % 35.03/35.21 (assume @p85 (forall @t11 (exists @t71 @t84))) % 35.03/35.21 (assume @p86 (forall @t6 (=> @t148 (and (tptp.empty @t147) (tptp.relation @t147))))) % 35.03/35.21 (assume @p87 (forall @t11 (=> @t10 (and (tptp.empty @t126) @t136)))) % 35.03/35.21 (assume @p88 (and @t151 @t150 @t149)) % 35.03/35.21 (assume @p89 (forall @t6 (=> @t153 (and @t145 (tptp.relation_empty_yielding @t47))))) % 35.03/35.21 (assume @p90 (forall @t6 (=> (and @t16 @t9 @t37 @t154) (and @t137 (tptp.function @t128))))) % 35.03/35.21 (assume @p91 (forall @t11 @t155)) % 35.03/35.21 (assume @p92 (forall @t6 (=> @t138 (tptp.relation @t24)))) % 35.03/35.21 (assume @p93 (forall @t11 (not (tptp.empty @t81)))) % 35.03/35.21 (assume @p94 @t151) % 35.03/35.21 (assume @p95 (forall @t6 (not (tptp.empty @t118)))) % 35.03/35.21 (assume @p96 (forall @t11 (and @t140 (tptp.function @t35)))) % 35.03/35.21 (assume @p97 (and @t150 @t149 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t151 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 35.03/35.21 (assume @p98 (forall @t6 (=> @t138 (tptp.relation @t23)))) % 35.03/35.21 (assume @p99 (forall @t11 (not (tptp.empty @t69)))) % 35.03/35.21 (assume @p100 (forall @t6 (=> @t85 (not (tptp.empty @t23))))) % 35.03/35.21 (assume @p101 (forall @t11 (=> @t18 (and @t136 (tptp.function @t126))))) % 35.03/35.21 (assume @p102 (forall @t11 (=> @t15 (and @t155 (tptp.epsilon_transitive @t70) (tptp.epsilon_connected @t70) (tptp.ordinal @t70))))) % 35.03/35.21 (assume @p103 (forall @t6 (=> @t138 (tptp.relation @t112)))) % 35.03/35.21 (assume @p104 (forall @t6 (not (tptp.empty @t21)))) % 35.03/35.21 (assume @p105 (forall @t6 (=> @t85 (not (tptp.empty @t22))))) % 35.03/35.21 (assume @p106 (forall @t6 (=> @t56 (and @t145 (tptp.function @t47))))) % 35.03/35.21 (assume @p107 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t109) (tptp.epsilon_connected @t109) (tptp.ordinal @t109))))) % 35.03/35.21 (assume @p108 (and @t151 @t150)) % 35.03/35.21 (assume @p109 (forall @t6 (=> (and @t85 @t156) (not (tptp.empty @t90))))) % 35.03/35.21 (assume @p110 (forall @t6 (=> @t157 (and @t146 (tptp.function @t58))))) % 35.03/35.21 (assume @p111 (forall @t11 (=> @t159 (not @t158)))) % 35.03/35.21 (assume @p112 (forall @t11 (=> @t159 (not @t160)))) % 35.03/35.21 (assume @p113 (forall @t11 (=> @t10 (and @t158 (tptp.relation @t51))))) % 35.03/35.21 (assume @p114 (forall @t11 (=> @t10 (and @t160 (tptp.relation @t114))))) % 35.03/35.21 (assume @p115 (forall @t6 (=> @t148 (and (tptp.empty @t128) @t137)))) % 35.03/35.21 (assume @p116 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 35.03/35.21 (assume @p117 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 35.03/35.21 (assume @p118 (forall @t6 (=> @t117 (= (tptp.subset_complement @t1 @t116) @t2)))) % 35.03/35.21 (assume @p119 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t126) @t1)))) % 35.03/35.21 (assume @p120 (forall @t6 (=> @t131 (= (tptp.complements_of_subsets @t1 @t129) @t2)))) % 35.03/35.21 (assume @p121 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 35.03/35.21 (assume @p122 @t167) % 35.03/35.21 (assume @p123 (forall @t11 (not (= @t69 tptp.empty_set)))) % 35.03/35.21 (assume @p124 (forall @t6 (=> @t5 (= (tptp.set_union2 @t69 @t2) @t2)))) % 35.03/35.21 (assume @p125 (forall @t6 (not (and @t168 @t5)))) % 35.03/35.21 (assume @p126 (forall @t6 (=> @t169 @t168))) % 35.03/35.21 (assume @p127 (forall @t6 (=> @t37 (tptp.subset (tptp.relation_dom @t58) @t170)))) % 35.03/35.21 (assume @p128 (forall @t11 (=> @t16 (= @t66 (forall (@list @t2 @t29 @t28) (=> (and @t105 @t82) (tptp.in (tptp.ordered_pair @t2 @t28) @t1))))))) % 35.03/35.21 (assume @p129 (forall @t6 (= (tptp.subset @t69 @t2) @t5))) % 35.03/35.21 (assume @p130 (forall @t6 (= (= @t112 tptp.empty_set) @t39))) % 35.03/35.21 (assume @p131 (forall @t6 (=> @t117 (forall @t59 (=> @t72 @t31))))) % 35.03/35.21 (assume @p132 (forall @t11 (=> @t16 (= @t61 (forall @t49 (=> (and @t105 @t171) @t92)))))) % 35.03/35.21 (assume @p133 (forall @t86 (=> @t39 (or @t31 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t29))))))) % 35.03/35.21 (assume @p134 (forall @t11 (=> @t16 (= @t65 (forall @t49 (not (and @t163 (tptp.in @t29 @t60) @t93 @t172 (not @t171)))))))) % 35.03/35.21 (assume @p135 (forall @t6 (= (tptp.subset @t1 @t173) (or @t76 (= @t1 @t173))))) % 35.03/35.21 (assume @p136 (forall @t6 (=> @t5 (tptp.subset @t1 @t174)))) % 35.03/35.21 (assume @p137 @t176) % 35.03/35.21 (assume @p138 (forall @t6 (=> @t95 @t177))) % 35.03/35.21 (assume @p139 (forall @t86 (=> @t181 (= @t180 (and (tptp.in @t2 @t178) @t3))))) % 35.03/35.21 (assume @p140 (exists @t11 @t56)) % 35.03/35.21 (assume @p141 (exists @t11 @t20)) % 35.03/35.21 (assume @p142 (exists @t11 (and @t10 @t16))) % 35.03/35.21 (assume @p143 (forall @t11 (=> @t85 (exists @t71 (and @t117 @t156))))) % 35.03/35.21 (assume @p144 (exists @t11 @t10)) % 35.03/35.21 (assume @p145 (exists @t11 @t19)) % 35.03/35.21 (assume @p146 (exists @t11 (and @t16 @t9 @t17 @t10 @t13 @t12 @t15))) % 35.03/35.21 (assume @p147 (exists @t11 @t159)) % 35.03/35.21 (assume @p148 (forall @t11 (exists @t71 (and @t117 @t83)))) % 35.03/35.21 (assume @p149 (exists @t11 @t85)) % 35.03/35.21 (assume @p150 (exists @t11 @t18)) % 35.03/35.21 (assume @p151 (exists @t11 (and @t85 @t13 @t12 @t15))) % 35.03/35.21 (assume @p152 (exists @t11 @t153)) % 35.03/35.21 (assume @p153 (exists @t11 (and @t16 @t152 @t9))) % 35.03/35.21 (assume @p154 (forall @t6 (=> @t131 (= @t139 @t174)))) % 35.03/35.21 (assume @p155 (forall @t6 (=> @t131 (= @t141 (tptp.set_meet @t2))))) % 35.03/35.21 (assume @p156 (forall @t86 (=> @t144 (= @t142 @t182)))) % 35.03/35.21 (assume @p157 (forall @t6 (=> @t27 (= @t25 @t39)))) % 35.03/35.21 (assume @p158 (forall @t6 (=> @t27 (tptp.ordinal_subset @t1 @t1)))) % 35.03/35.21 (assume @p159 (forall @t6 (tptp.subset @t1 @t1))) % 35.03/35.21 (assume @p160 (forall @t6 (=> @t127 (tptp.disjoint @t2 @t1)))) % 35.03/35.21 (assume @p161 (forall @t11 (tptp.in @t1 @t70))) % 35.03/35.21 (assume @p162 (forall @t68 (not (and (= @t21 (tptp.unordered_pair @t29 @t28)) (not @t183) (not (= @t1 @t28)))))) % 35.03/35.21 (assume @p163 (forall @t86 (=> @t48 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t29))) (and @t5 (tptp.in @t1 @t184)))))) % 35.03/35.21 (assume @p164 (forall @t6 (=> @t37 (tptp.subset @t185 @t1)))) % 35.03/35.21 (assume @p165 (forall @t6 (=> @t37 (tptp.subset @t58 @t2)))) % 35.03/35.21 (assume @p166 (forall @t6 (=> @t37 (tptp.subset @t185 @t186)))) % 35.03/35.21 (assume @p167 (forall @t86 (=> @t39 (and (tptp.subset @t187 (tptp.cartesian_product2 @t2 @t29)) (tptp.subset (tptp.cartesian_product2 @t29 @t1) (tptp.cartesian_product2 @t29 @t2)))))) % 35.03/35.21 (assume @p168 (forall @t6 (=> @t37 (= @t185 (tptp.set_intersection2 @t186 @t1))))) % 35.03/35.21 (assume @p169 (forall @t68 (=> (and @t39 (tptp.subset @t29 @t28)) (tptp.subset @t187 (tptp.cartesian_product2 @t2 @t28))))) % 35.03/35.21 (assume @p170 (forall @t6 (=> @t39 (= @t23 @t2)))) % 35.03/35.21 (assume @p171 (forall @t11 (exists @t71 (and @t5 @t190 (forall @t59 (=> @t72 (tptp.in @t189 @t2))) @t188)))) % 35.03/35.21 (assume @p172 (forall @t86 (=> @t48 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t29) @t2) (tptp.relation_rng_restriction @t1 @t191))))) % 35.03/35.21 (assume @p173 (forall @t86 (=> @t48 (= (tptp.in @t1 (tptp.relation_image @t29 @t2)) (exists @t54 (and (tptp.in @t28 @t178) (tptp.in (tptp.ordered_pair @t28 @t1) @t29) @t44)))))) % 35.03/35.21 (assume @p174 (forall @t6 (=> @t37 (tptp.subset @t192 @t186)))) % 35.03/35.21 (assume @p175 (forall @t6 (=> @t157 (tptp.subset @t194 @t1)))) % 35.03/35.21 (assume @p176 (forall @t6 (=> @t37 (= @t192 (tptp.relation_image @t2 @t195))))) % 35.03/35.21 (assume @p177 (forall @t6 (=> @t37 (=> (tptp.subset @t1 @t170) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t192)))))) % 35.03/35.21 (assume @p178 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t51) @t114)))) % 35.03/35.21 (assume @p179 (forall @t6 (=> @t157 (=> @t196 (= @t194 @t1))))) % 35.03/35.21 (assume @p180 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t197 (tptp.relation_image @t2 @t114))))))) % 35.03/35.21 (assume @p181 (forall @t86 (=> @t48 (= (tptp.in @t1 @t198) (exists @t54 (and (tptp.in @t28 @t184) (tptp.in (tptp.ordered_pair @t1 @t28) @t29) @t44)))))) % 35.03/35.21 (assume @p182 (forall @t6 (=> @t37 (tptp.subset @t193 @t170)))) % 35.03/35.21 (assume @p183 (forall @t86 (=> @t48 (= (tptp.in @t1 @t199) (and @t175 (tptp.in @t1 @t122)))))) % 35.03/35.21 (assume @p184 (forall @t6 (=> @t37 (not (and @t79 @t196 (= @t193 tptp.empty_set)))))) % 35.03/35.21 (assume @p185 (forall @t86 (=> @t48 (=> @t39 (tptp.subset (tptp.relation_inverse_image @t29 @t1) @t198))))) % 35.03/35.21 (assume @p186 (forall @t6 (=> @t37 (= @t200 (tptp.relation_dom_restriction @t58 @t1))))) % 35.03/35.21 (assume @p187 (forall @t6 (tptp.subset @t24 @t1))) % 35.03/35.21 (assume @p188 (forall @t6 (=> @t37 (= @t200 (tptp.relation_rng_restriction @t1 @t201))))) % 35.03/35.21 (assume @p189 @t207) % 35.03/35.21 (assume @p190 (forall @t86 (=> (and @t39 @t209) (tptp.subset @t1 @t208)))) % 35.03/35.21 (assume @p191 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 35.03/35.21 (assume @p192 (forall @t6 (=> @t5 @t210))) % 35.03/35.21 (assume @p193 (forall @t86 (=> (and @t39 (tptp.subset @t2 @t29)) @t209))) % 35.03/35.21 (assume @p194 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 35.03/35.21 (assume @p195 (forall @t86 (=> @t48 (=> @t212 (and @t211 (tptp.in @t2 @t184)))))) % 35.03/35.21 (assume @p196 (forall @t6 (=> @t37 (and (tptp.subset @t213 (tptp.relation_field @t2)) (tptp.subset @t213 @t1))))) % 35.03/35.21 (assume @p197 (forall @t6 (=> @t157 (forall @t59 (=> @t181 (= @t216 (and @t211 (tptp.in @t214 @t170)))))))) % 35.03/35.21 (assume @p198 (forall @t11 (=> @t13 (forall @t71 (=> @t26 (=> @t8 @t5)))))) % 35.03/35.21 (assume @p199 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t51 @t114))))) % 35.03/35.21 (assume @p200 (forall @t86 (=> @t48 (tptp.subset (tptp.fiber (tptp.relation_restriction @t29 @t1) @t2) (tptp.fiber @t29 @t2))))) % 35.03/35.21 (assume @p201 (forall @t6 (=> @t157 (forall @t59 (=> @t181 (=> @t216 (= (tptp.apply @t215 @t1) (tptp.apply @t2 @t214)))))))) % 35.03/35.21 (assume @p202 @t221) % 35.03/35.21 (assume @p203 (forall @t6 (=> @t157 (forall @t59 (=> @t181 (=> (tptp.in @t1 @t170) (= (tptp.apply (tptp.relation_composition @t2 @t29) @t1) (tptp.apply @t29 (tptp.apply @t2 @t1))))))))) % 35.03/35.21 (assume @p204 (forall @t6 (=> @t26 (=> @t5 @t15)))) % 35.03/35.21 (assume @p205 (forall @t11 (=> @t15 (forall @t71 (=> @t26 (not (and @t169 @t132 @t4))))))) % 35.03/35.21 (assume @p206 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> @t39 (and (tptp.subset @t51 @t170) (tptp.subset @t114 @t186)))))))) % 35.03/35.21 (assume @p207 (forall @t86 (=> @t39 (tptp.subset (tptp.set_intersection2 @t1 @t29) @t208)))) % 35.03/35.21 (assume @p208 (forall @t6 (=> @t39 (= @t24 @t1)))) % 35.03/35.21 (assume @p209 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 35.03/35.21 (assume @p210 (forall @t6 (=> @t210 (or @t83 @t5)))) % 35.03/35.21 (assume @p211 (forall @t6 (=> (forall @t59 (= @t31 @t72)) @t40))) % 35.03/35.21 (assume @p212 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 35.03/35.21 (assume @p213 (forall @t86 (=> @t48 (=> @t212 (and @t203 (tptp.in @t2 @t202)))))) % 35.03/35.21 (assume @p214 (forall @t11 (=> (forall @t71 (=> @t3 (and @t26 @t38))) @t15))) % 35.03/35.21 (assume @p215 (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))))))))))))) % 35.03/35.21 (assume @p216 (forall @t11 (=> @t15 (forall @t71 (=> @t26 (= @t5 (tptp.ordinal_subset @t70 @t2))))))) % 35.03/35.21 (assume @p217 (forall @t86 (=> @t39 (tptp.subset (tptp.set_difference @t1 @t29) @t182)))) % 35.03/35.21 (assume @p218 (forall @t68 (=> (= @t118 @t32) (and @t183 (= @t2 @t28))))) % 35.03/35.21 (assume @p219 (forall @t6 (=> @t157 (= @t36 (and (= @t170 @t1) (forall @t59 (=> @t31 (= @t222 @t29)))))))) % 35.03/35.21 (assume @p220 (forall @t6 (=> @t3 (= (tptp.apply @t35 @t2) @t2)))) % 35.03/35.21 (assume @p221 (forall @t6 (tptp.subset @t112 @t1))) % 35.03/35.21 (assume @p222 (forall @t11 (=> @t16 (and (= @t114 (tptp.relation_dom @t126)) (= @t51 (tptp.relation_rng @t126)))))) % 35.03/35.21 (assume @p223 (forall @t86 (= (tptp.subset @t21 @t29) (and @t175 @t94)))) % 35.03/35.21 (assume @p224 (forall @t6 (= @t223 @t23))) % 35.03/35.21 (assume @p225 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 35.03/35.21 (assume @p226 (forall @t86 (not (and @t5 @t94 @t31)))) % 35.03/35.21 (assume @p227 (forall @t6 (= @t177 @t39))) % 35.03/35.21 (assume @p228 (forall @t6 (and (not (and @t225 (forall @t59 (not @t224)))) (not (and (exists @t59 @t224) @t127))))) % 35.03/35.21 (assume @p229 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t76))) % 35.03/35.21 (assume @p230 (forall @t6 (= (tptp.set_difference @t23 @t2) @t112))) % 35.03/35.21 (assume @p231 (forall @t11 (=> @t15 (= @t121 (forall @t71 (=> @t26 (=> @t3 (tptp.in @t226 @t1)))))))) % 35.03/35.21 (assume @p232 (forall @t11 (=> @t15 (and (not (and (not @t121) (forall @t71 (=> @t26 (not @t227))))) (not (and (exists @t71 (and @t26 @t227)) @t121)))))) % 35.03/35.21 (assume @p233 (forall @t6 (=> @t117 (forall @t59 (=> @t143 (= @t229 (tptp.subset @t2 @t228))))))) % 35.03/35.21 (assume @p234 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (tptp.subset @t230 @t51)))))) % 35.03/35.21 (assume @p235 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (tptp.subset @t197 @t186)))))) % 35.03/35.21 (assume @p236 (forall @t6 (=> @t39 (= @t2 @t223)))) % 35.03/35.21 (assume @p237 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> (tptp.subset @t114 @t170) (= @t230 @t51))))))) % 35.03/35.21 (assume @p238 (forall @t6 (=> @t131 (not (and @t87 (= @t129 tptp.empty_set)))))) % 35.03/35.21 (assume @p239 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> (tptp.subset @t51 @t186) (= (tptp.relation_rng @t147) @t114))))))) % 35.03/35.21 (assume @p240 (forall @t6 (=> @t131 (=> @t87 (= (tptp.subset_difference @t1 @t108 @t139) (tptp.meet_of_subsets @t1 @t129)))))) % 35.03/35.21 (assume @p241 (forall @t6 (=> @t131 (=> @t87 (= (tptp.union_of_subsets @t1 @t129) (tptp.subset_difference @t1 @t108 @t141)))))) % 35.03/35.21 (assume @p242 (forall @t6 (= (tptp.set_difference @t1 @t112) @t24))) % 35.03/35.21 (assume @p243 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 35.03/35.21 (assume @p244 (forall @t86 (=> (and @t5 @t231) (tptp.element @t1 @t29)))) % 35.03/35.21 (assume @p245 (forall @t6 (and (not (and @t225 (forall @t59 (not @t232)))) (not (and (exists @t59 @t232) @t127))))) % 35.03/35.21 (assume @p246 (forall @t11 (=> @t79 (forall @t71 (=> @t117 (forall @t59 (=> (tptp.element @t29 @t1) (=> @t91 (tptp.in @t29 @t116))))))))) % 35.03/35.21 (assume @p247 (forall @t11 (=> @t56 (=> @t17 (forall @t71 (=> @t157 (= (= @t2 @t133) (and (= @t170 @t114) (forall @t34 (and (=> @t233 @t113) (=> @t113 @t233))))))))))) % 35.03/35.21 (assume @p248 (forall @t86 (=> @t143 (not (and (tptp.in @t2 @t228) @t94))))) % 35.03/35.21 (assume @p249 (forall @t11 (=> @t56 (=> @t17 (and (= @t114 (tptp.relation_dom @t133)) (= @t51 (tptp.relation_rng @t133))))))) % 35.03/35.21 (assume @p250 (forall @t11 (=> @t16 (=> (forall @t49 @t172) @t76)))) % 35.03/35.21 (assume @p251 (forall @t6 (=> @t157 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t186)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t234 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t234 @t2) @t1))))))) % 35.03/35.21 (assume @p252 (forall @t86 (not (and @t5 @t231 (tptp.empty @t29))))) % 35.03/35.21 (assume @p253 (forall @t11 (=> @t16 (= @t88 (tptp.is_well_founded_in @t1 @t60))))) % 35.03/35.21 (assume @p254 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 35.03/35.21 (assume @p255 (forall @t6 (not (and @t39 @t7)))) % 35.03/35.21 (assume @p256 (forall @t11 (=> @t56 (=> @t17 (tptp.one_to_one @t133))))) % 35.03/35.21 (assume @p257 (forall @t86 (=> (and @t39 @t229) (tptp.disjoint @t1 @t29)))) % 35.03/35.21 (assume @p258 (forall @t11 (=> @t16 (=> (or @t236 @t235) @t76)))) % 35.03/35.21 (assume @p259 (forall @t11 (=> @t16 (= @t236 @t235)))) % 35.03/35.21 (assume @p260 (forall @t6 (= (= (tptp.set_difference @t1 @t173) @t1) @t4))) % 35.03/35.21 (assume @p261 (forall @t6 (=> @t157 (forall @t59 (=> @t181 (= (= @t2 @t179) (and (= @t170 (tptp.set_intersection2 @t178 @t1)) (forall @t54 (=> (tptp.in @t28 @t170) (= (tptp.apply @t2 @t28) (tptp.apply @t29 @t28))))))))))) % 35.03/35.21 (assume @p262 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t69))) % 35.03/35.21 (assume @p263 (forall @t11 (=> @t10 @t76))) % 35.03/35.21 (assume @p264 (forall @t6 (=> (tptp.subset @t69 @t173) @t40))) % 35.03/35.21 (assume @p265 (forall @t86 (=> @t181 (=> @t180 @t237)))) % 35.03/35.21 (assume @p266 (forall @t11 (and (= (tptp.relation_dom @t35) @t1) (= (tptp.relation_rng @t35) @t1)))) % 35.03/35.21 (assume @p267 (forall @t86 (=> @t181 (=> @t3 @t237)))) % 35.03/35.21 (assume @p268 (forall @t68 (=> (tptp.relation @t28) (= (tptp.in @t118 (tptp.relation_composition (tptp.identity_relation @t29) @t28)) (and @t175 (tptp.in @t118 @t28)))))) % 35.03/35.21 (assume @p269 (forall @t6 (not (and @t5 @t83)))) % 35.03/35.21 (assume @p270 (forall @t6 (not (and @t5 (forall @t59 (not (and @t72 (forall @t54 (not (and @t44 @t53)))))))))) % 35.03/35.21 (assume @p271 (forall @t6 (tptp.subset @t1 @t23))) % 35.03/35.21 (assume @p272 (forall @t6 (= @t127 (= @t112 @t1)))) % 35.03/35.21 (assume @p273 (forall @t86 (=> @t48 (= (tptp.in @t1 (tptp.relation_dom @t191)) (and @t5 @t211))))) % 35.03/35.21 (assume @p274 (forall @t6 (=> @t37 (tptp.subset @t201 @t2)))) % 35.03/35.21 (assume @p275 (forall @t6 (not (and @t10 @t132 @t83)))) % 35.03/35.21 (assume @p276 (forall @t86 (=> @t181 (= @t212 (and @t211 (= @t2 @t214)))))) % 35.03/35.21 (assume @p277 (forall @t11 (=> @t16 (= (tptp.well_orders @t1 @t60) @t111)))) % 35.03/35.21 (assume @p278 (forall @t86 (=> (and @t39 @t97) (tptp.subset (tptp.set_union2 @t1 @t29) @t2)))) % 35.03/35.21 (assume @p279 (forall @t86 (=> @t238 @t40))) % 35.03/35.21 (assume @p280 (forall @t6 (=> @t37 (= (tptp.relation_dom @t201) @t195)))) % 35.03/35.21 (assume @p281 (forall @t6 (=> @t37 (= @t201 (tptp.relation_composition @t35 @t2))))) % 35.03/35.21 (assume @p282 (forall @t6 (=> @t37 (tptp.subset (tptp.relation_rng @t201) @t186)))) % 35.03/35.21 (assume @p283 (forall @t11 (= (tptp.union @t81) @t1))) % 35.03/35.21 (assume @p284 (forall @t11 (exists @t71 (and @t5 @t190 (forall @t59 (not (and @t72 (forall @t54 (not (and @t44 (forall @t52 (=> (tptp.subset @t41 @t29) @t67)))))))) @t188)))) % 35.03/35.21 (assume @p285 (forall @t86 (=> @t238 @t92))) % 35.03/35.21 (step @p286 :rule aci_norm :args ((= (or @t240 (or @t239 @t204)) (or @t240 @t239 @t204)))) % 35.03/35.21 (step @p287 :rule bool-impl-elim :args (@t205 @t204)) % 35.03/35.21 (step @p288 :rule refl :args (@t240)) % 35.03/35.21 (step @p289 :rule nary_cong :premises (@p288 @p287) :args ((or @t240 @t206))) % 35.03/35.21 (step @p290 :rule trans :premises (@p289 @p286)) % 35.03/35.21 (step @p291 :rule bool-impl-elim :args (@t48 @t206)) % 35.03/35.21 (step @p292 :rule trans :premises (@p291 @p290)) % 35.03/35.21 (step @p293 :rule cong :premises (@p292) :args (@t207)) % 35.03/35.21 (step @p294 :rule eq_resolve :premises (@p189 @p293)) % 35.03/35.21 (step @p295 :rule instantiate :premises (@p294) :args ((@list @t250 @t246 @t245))) % 35.03/35.21 (step @p296 :rule bool-impl-elim :args (@t16 @t251)) % 35.03/35.21 (step @p297 :rule cong :premises (@p296) :args ((forall @t11 (=> @t16 @t251)))) % 35.03/35.21 (step @p298 :rule bool-impl-elim :args (@t163 @t162)) % 35.03/35.21 (step @p299 :rule cong :premises (@p298) :args (@t164)) % 35.03/35.21 (step @p300 :rule refl :args (@t110)) % 35.03/35.21 (step @p301 :rule cong :premises (@p300 @p299) :args (@t165)) % 35.03/35.21 (step @p302 :rule refl :args (@t16)) % 35.03/35.21 (step @p303 :rule cong :premises (@p302 @p301) :args (@t166)) % 35.03/35.21 (step @p304 :rule cong :premises (@p303) :args (@t167)) % 35.03/35.21 (step @p305 :rule trans :premises (@p304 @p297)) % 35.03/35.21 (step @p306 :rule eq_resolve :premises (@p122 @p305)) % 35.03/35.21 (step @p307 :rule instantiate :premises (@p306) :args ((@list @t247))) % 35.03/35.21 (step @p308 :rule bool-impl-elim :args (@t16 @t134)) % 35.03/35.21 (step @p309 :rule cong :premises (@p308) :args (@t135)) % 35.03/35.21 (step @p310 :rule eq_resolve :premises (@p74 @p309)) % 35.03/35.21 (step @p311 :rule instantiate :premises (@p310) :args (@t252)) % 35.03/35.21 (step @p312 :rule aci_norm :args ((= (or @t242 (or @t241 @t217)) @t243))) % 35.03/35.21 (step @p313 :rule bool-impl-elim :args (@t218 @t217)) % 35.03/35.21 (step @p314 :rule refl :args (@t242)) % 35.03/35.21 (step @p315 :rule nary_cong :premises (@p314 @p313) :args ((or @t242 @t219))) % 35.03/35.21 (step @p316 :rule trans :premises (@p315 @p312)) % 35.03/35.21 (step @p317 :rule bool-impl-elim :args (@t37 @t219)) % 35.03/35.21 (step @p318 :rule trans :premises (@p317 @p316)) % 35.03/35.21 (step @p319 :rule cong :premises (@p318) :args (@t220)) % 35.03/35.21 (step @p320 :rule cong :premises (@p319) :args (@t221)) % 35.03/35.21 (step @p321 :rule eq_resolve :premises (@p202 @p320)) % 35.03/35.21 (step @p322 :rule skolemize :premises (@p321)) % 35.03/35.21 (step @p323 :rule bool-double-not-elim :args (@t253)) % 35.03/35.21 (step @p324 :rule refl :args (@t258)) % 35.03/35.21 (step @p325 :rule nary_cong :premises (@p324 @p323) :args ((or @t258 (not @t257)))) % 35.03/35.21 (step @p326 :rule cnf_or_neg :args (@t258 0)) % 35.03/35.21 (step @p327 :rule eq_resolve :premises (@p326 @p325)) % 35.03/35.21 (step @p328 :rule reordering :premises (@p327) :args ((or @t253 @t258))) % 35.03/35.21 (step @p329 :rule chain_m_resolution :premises (@p328 @p322) :args (@t253 @t259 @t260)) % 35.03/35.21 (step @p330 :rule cnf_or_pos :args (@t262)) % 35.03/35.21 (step @p331 :rule reordering :premises (@p330) :args ((or @t257 @t261 (not @t262)))) % 35.03/35.21 (step @p332 :rule chain_m_resolution :premises (@p331 @p329 @p311) :args (@t261 @t263 (@list @t253 @t262))) % 35.03/35.21 (step @p333 :rule cnf_or_pos :args (@t266)) % 35.03/35.21 (step @p334 :rule reordering :premises (@p333) :args ((or @t265 @t264 (not @t266)))) % 35.03/35.21 (step @p335 :rule chain_m_resolution :premises (@p334 @p332 @p307) :args (@t264 @t263 (@list @t261 @t266))) % 35.03/35.21 (step @p336 :rule cnf_or_neg :args (@t258 2)) % 35.03/35.21 (step @p337 :rule chain_m_resolution :premises (@p336 @p322) :args ((not @t254) @t259 @t260)) % 35.03/35.21 (step @p338 :rule cnf_equiv_pos2 :args (@t264)) % 35.03/35.21 (step @p339 :rule reordering :premises (@p338) :args ((or @t254 @t267 (not @t264)))) % 35.03/35.21 (step @p340 :rule chain_m_resolution :premises (@p339 @p337 @p335) :args (@t267 @t268 (@list @t254 @t264))) % 35.03/35.21 (step @p341 :rule skolemize :premises (@p340)) % 35.03/35.21 (step @p342 :rule bool-double-not-elim :args (@t269)) % 35.03/35.21 (step @p343 :rule refl :args (@t273)) % 35.03/35.21 (step @p344 :rule nary_cong :premises (@p343 @p342) :args ((or @t273 (not @t272)))) % 35.03/35.21 (step @p345 :rule cnf_or_neg :args (@t273 0)) % 35.03/35.21 (step @p346 :rule eq_resolve :premises (@p345 @p344)) % 35.03/35.21 (step @p347 :rule reordering :premises (@p346) :args ((or @t269 @t273))) % 35.03/35.21 (step @p348 :rule chain_m_resolution :premises (@p347 @p341) :args (@t269 @t259 @t274)) % 35.03/35.21 (step @p349 :rule cnf_or_pos :args (@t279)) % 35.03/35.21 (step @p350 :rule reordering :premises (@p349) :args ((or @t257 @t272 @t278 (not @t279)))) % 35.03/35.21 (step @p351 :rule chain_m_resolution :premises (@p350 @p329 @p348 @p295) :args (@t278 (@list false false false) (@list @t253 @t269 @t279))) % 35.03/35.21 (step @p352 :rule cnf_and_pos :args (@t278 1)) % 35.03/35.21 (step @p353 :rule reordering :premises (@p352) :args ((or @t275 @t280))) % 35.03/35.21 (step @p354 :rule chain_m_resolution :premises (@p353 @p351) :args (@t275 @t281 @t282)) % 35.03/35.21 (step @p355 :rule instantiate :premises (@p306) :args ((@list @t245))) % 35.03/35.21 (step @p356 :rule cnf_or_pos :args (@t285)) % 35.03/35.21 (step @p357 :rule reordering :premises (@p356) :args ((or @t257 @t284 (not @t285)))) % 35.03/35.21 (step @p358 :rule chain_m_resolution :premises (@p357 @p329 @p355) :args (@t284 @t263 (@list @t253 @t285))) % 35.03/35.21 (step @p359 :rule bool-double-not-elim :args (@t255)) % 35.03/35.21 (step @p360 :rule nary_cong :premises (@p324 @p359) :args ((or @t258 (not @t256)))) % 35.03/35.21 (step @p361 :rule cnf_or_neg :args (@t258 1)) % 35.03/35.21 (step @p362 :rule eq_resolve :premises (@p361 @p360)) % 35.03/35.21 (step @p363 :rule reordering :premises (@p362) :args ((or @t255 @t258))) % 35.03/35.21 (step @p364 :rule chain_m_resolution :premises (@p363 @p322) :args (@t255 @t259 @t260)) % 35.03/35.21 (step @p365 :rule cnf_equiv_pos1 :args (@t284)) % 35.03/35.21 (step @p366 :rule reordering :premises (@p365) :args ((or @t256 @t283 (not @t284)))) % 35.03/35.21 (step @p367 :rule chain_m_resolution :premises (@p366 @p364 @p358) :args (@t283 @t263 (@list @t255 @t284))) % 35.03/35.21 (step @p368 :rule instantiate :premises (@p367) :args ((@list @t250))) % 35.03/35.21 (step @p369 :rule cnf_and_pos :args (@t278 0)) % 35.03/35.21 (step @p370 :rule reordering :premises (@p369) :args ((or @t277 @t280))) % 35.03/35.21 (step @p371 :rule chain_m_resolution :premises (@p370 @p351) :args (@t277 @t281 @t282)) % 35.03/35.21 (step @p372 :rule cnf_or_pos :args (@t288)) % 35.03/35.21 (step @p373 :rule reordering :premises (@p372) :args ((or @t286 @t287 (not @t288)))) % 35.03/35.21 (step @p374 :rule chain_m_resolution :premises (@p373 @p371 @p368) :args (@t286 @t263 (@list @t277 @t288))) % 35.03/35.21 (step @p375 :rule eq-symm :args (@t289 @t99)) % 35.03/35.21 (step @p376 :rule refl :args (@t99)) % 35.03/35.21 (step @p377 :rule eq-symm :args (@t29 @t24)) % 35.03/35.21 (step @p378 :rule cong :premises (@p377 @p376) :args (@t100)) % 35.03/35.21 (step @p379 :rule trans :premises (@p378 @p375)) % 35.03/35.21 (step @p380 :rule cong :premises (@p379) :args (@t101)) % 35.03/35.21 (step @p381 :rule eq_resolve :premises (@p44 @p380)) % 35.03/35.21 (step @p382 :rule eq-symm :args (@t291 @t293)) % 35.03/35.21 (step @p383 :rule eq-symm :args (@t292 @t247)) % 35.03/35.21 (step @p384 :rule refl :args (@t291)) % 35.03/35.21 (step @p385 :rule cong :premises (@p384 @p383) :args (@t294)) % 35.03/35.21 (step @p386 :rule trans :premises (@p385 @p382)) % 35.03/35.21 (step @p387 :rule refl :args (@t295)) % 35.03/35.21 (step @p388 :rule cong :premises (@p387 @p386) :args ((=> @t295 @t294))) % 35.03/35.21 (assume-push @p439 @t295) % 35.03/35.21 (step @p390 :rule instantiate :premises (@p381) :args ((@list @t245 @t290 @t247))) % 35.03/35.21 (step-pop @p440 :rule scope :premises (@p390)) % 35.03/35.21 (step @p391 :rule process_scope :premises (@p440) :args (@t294)) % 35.03/35.21 (step @p393 :rule eq_resolve :premises (@p391 @p388)) % 35.03/35.21 (step @p394 :rule implies_elim :premises (@p393)) % 35.03/35.21 (step @p395 :rule chain_m_resolution :premises (@p394 @p381) :args (@t296 @t281 (@list @t295))) % 35.03/35.21 (step @p396 :rule quant-merge-prenex :args ((= (forall @t11 @t302) (forall (@list @t1 @t297) @t300)))) % 35.03/35.21 (step @p397 :rule alpha_equiv :args (@t303 (@list @t297) (@list @t2))) % 35.03/35.21 (step @p398 :rule refl :args (@t299)) % 35.03/35.21 (step @p399 :rule nary_cong :premises (@p398 @p397) :args (@t304)) % 35.03/35.21 (step @p400 :rule quant-miniscope-or :args ((= @t302 @t304))) % 35.03/35.21 (step @p401 :rule trans :premises (@p400 @p399)) % 35.03/35.21 (step @p402 :rule symm :premises (@p401)) % 35.03/35.21 (step @p403 :rule cong :premises (@p402) :args ((forall @t11 (or @t299 @t124)))) % 35.03/35.21 (step @p404 :rule trans :premises (@p403 @p396)) % 35.03/35.21 (step @p405 :rule bool-impl-elim :args (@t16 @t124)) % 35.03/35.21 (step @p406 :rule cong :premises (@p405) :args (@t125)) % 35.03/35.21 (step @p407 :rule trans :premises (@p406 @p404)) % 35.03/35.21 (step @p408 :rule eq_resolve :premises (@p61 @p407)) % 35.03/35.21 (step @p409 :rule instantiate :premises (@p408) :args (@t252)) % 35.03/35.21 (step @p410 :rule cnf_or_pos :args (@t305)) % 35.03/35.21 (step @p411 :rule reordering :premises (@p410) :args ((or @t257 @t293 (not @t305)))) % 35.03/35.21 (step @p412 :rule chain_m_resolution :premises (@p411 @p329 @p409) :args (@t293 @t263 (@list @t253 @t305))) % 35.03/35.21 (step @p413 :rule cnf_equiv_pos1 :args (@t296)) % 35.03/35.22 (step @p414 :rule reordering :premises (@p413) :args ((or (not @t293) @t291 (not @t296)))) % 35.03/35.22 (step @p415 :rule chain_m_resolution :premises (@p414 @p412 @p395) :args (@t291 @t263 (@list @t293 @t296))) % 35.03/35.22 (step @p416 :rule instantiate :premises (@p415) :args ((@list @t270))) % 35.03/35.22 (step @p417 :rule cnf_or_neg :args (@t273 1)) % 35.03/35.22 (step @p418 :rule chain_m_resolution :premises (@p417 @p341) :args ((not @t271) @t259 @t274)) % 35.03/35.22 (step @p419 :rule cnf_equiv_pos2 :args (@t308)) % 35.03/35.22 (step @p420 :rule reordering :premises (@p419) :args ((or @t271 @t309 (not @t308)))) % 35.03/35.22 (step @p421 :rule chain_m_resolution :premises (@p420 @p418 @p416) :args (@t309 @t268 (@list @t271 @t308))) % 35.03/35.22 (step @p422 :rule cnf_and_neg :args (@t307)) % 35.03/35.22 (step @p423 :rule chain_m_resolution :premises (@p422 @p421 @p374) :args ((not @t306) @t268 (@list @t307 @t286))) % 35.03/35.22 (step @p424 :rule cnf_equiv_pos2 :args (@t310)) % 35.03/35.22 (step @p425 :rule reordering :premises (@p424) :args ((or @t306 (not @t275) @t311))) % 35.03/35.22 (step @p426 :rule chain_m_resolution :premises (@p425 @p423 @p354) :args (@t311 @t268 (@list @t306 @t275))) % 35.03/35.22 (step @p427 :rule aci_norm :args ((= @t312 @t275))) % 35.03/35.22 (step @p428 :rule refl :args (@t306)) % 35.03/35.22 (step @p429 :rule cong :premises (@p428 @p427) :args (@t313)) % 35.03/35.22 (step @p430 :rule refl :args (@t176)) % 35.03/35.22 (step @p431 :rule cong :premises (@p430 @p429) :args ((=> @t176 @t313))) % 35.03/35.22 (assume-push @p441 @t176) % 35.03/35.22 (step @p433 :rule instantiate :premises (@p137) :args ((@list @t250 @t250 @t246 @t246))) % 35.03/35.22 (step-pop @p442 :rule scope :premises (@p433)) % 35.03/35.22 (step @p434 :rule process_scope :premises (@p442) :args (@t313)) % 35.03/35.22 (step @p436 :rule eq_resolve :premises (@p434 @p431)) % 35.03/35.22 (step @p437 :rule implies_elim :premises (@p436)) % 35.03/35.22 (step @p438 false :rule chain_m_resolution :premises (@p437 @p426 @p137) :args (false @t268 (@list @t310 @t176))) % 35.03/35.22 ) % 35.03/35.22 % SZS output end Proof % 35.03/35.22 % cvc5 exiting %------------------------------------------------------------------------------