%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU240+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 : n018.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 08:51:05 AM UTC 2026 % Result : Theorem 34.17s 34.55s % Output : Proof 34.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU240+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n018.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:58:05 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.53 %----Proving TF0_NAR, FOF, or CNF % 34.17/34.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.17/34.55 --- Run --no-e-matching --full-saturate-quant at 6... % 34.17/34.55 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.17/34.55 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.17/34.55 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.17/34.55 % SZS status Theorem % 34.17/34.55 % SZS output start Proof % 34.17/34.55 ( % 34.17/34.55 (declare-sort $$unsorted 0) % 34.17/34.55 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 34.17/34.55 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 34.17/34.55 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 34.17/34.55 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 34.17/34.55 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.empty_set $$unsorted) % 34.17/34.55 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 34.17/34.55 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.relation (-> $$unsorted Bool)) % 34.17/34.55 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 34.17/34.55 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 34.17/34.55 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 34.17/34.55 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 34.17/34.55 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 34.17/34.55 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 34.17/34.55 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 34.17/34.55 (declare-const tptp.function (-> $$unsorted Bool)) % 34.17/34.55 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 34.17/34.55 (declare-const tptp.empty (-> $$unsorted Bool)) % 34.17/34.55 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 34.17/34.55 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.transitive (-> $$unsorted Bool)) % 34.17/34.55 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 34.17/34.55 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 34.17/34.55 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 34.17/34.55 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 34.17/34.55 (define @t1 () (@var "A" $$unsorted)) % 34.17/34.55 (define @t2 () (@var "B" $$unsorted)) % 34.17/34.55 (define @t3 () (tptp.in @t2 @t1)) % 34.17/34.55 (define @t4 () (not @t3)) % 34.17/34.55 (define @t5 () (tptp.in @t1 @t2)) % 34.17/34.55 (define @t6 () (@list @t1 @t2)) % 34.17/34.55 (define @t7 () (tptp.proper_subset @t2 @t1)) % 34.17/34.55 (define @t8 () (tptp.proper_subset @t1 @t2)) % 34.17/34.55 (define @t9 () (tptp.function @t1)) % 34.17/34.55 (define @t10 () (tptp.empty @t1)) % 34.17/34.55 (define @t11 () (@list @t1)) % 34.17/34.55 (define @t12 () (tptp.epsilon_connected @t1)) % 34.17/34.55 (define @t13 () (tptp.epsilon_transitive @t1)) % 34.17/34.55 (define @t14 () (and @t13 @t12)) % 34.17/34.55 (define @t15 () (tptp.ordinal @t1)) % 34.17/34.55 (define @t16 () (tptp.relation @t1)) % 34.17/34.55 (define @t17 () (tptp.one_to_one @t1)) % 34.17/34.55 (define @t18 () (and @t16 @t9 @t17)) % 34.17/34.55 (define @t19 () (and @t16 @t10 @t9)) % 34.17/34.55 (define @t20 () (and @t13 @t12 @t15)) % 34.17/34.55 (define @t21 () (tptp.unordered_pair @t1 @t2)) % 34.17/34.55 (define @t22 () (tptp.set_union2 @t2 @t1)) % 34.17/34.55 (define @t23 () (tptp.set_union2 @t1 @t2)) % 34.17/34.55 (define @t24 () (tptp.set_intersection2 @t1 @t2)) % 34.17/34.55 (define @t25 () (tptp.ordinal_subset @t1 @t2)) % 34.17/34.55 (define @t26 () (tptp.ordinal @t2)) % 34.17/34.55 (define @t27 () (and @t15 @t26)) % 34.17/34.55 (define @t28 () (@var "D" $$unsorted)) % 34.17/34.55 (define @t29 () (@var "C" $$unsorted)) % 34.17/34.55 (define @t30 () (tptp.in @t29 @t1)) % 34.17/34.55 (define @t31 () (tptp.ordered_pair @t29 @t28)) % 34.17/34.55 (define @t32 () (tptp.in @t31 @t2)) % 34.17/34.55 (define @t33 () (@list @t29 @t28)) % 34.17/34.55 (define @t34 () (tptp.identity_relation @t1)) % 34.17/34.55 (define @t35 () (= @t2 @t34)) % 34.17/34.55 (define @t36 () (tptp.relation @t2)) % 34.17/34.55 (define @t37 () (tptp.subset @t2 @t1)) % 34.17/34.55 (define @t38 () (tptp.subset @t1 @t2)) % 34.17/34.55 (define @t39 () (= @t1 @t2)) % 34.17/34.55 (define @t40 () (@var "E" $$unsorted)) % 34.17/34.55 (define @t41 () (tptp.ordered_pair @t28 @t40)) % 34.17/34.55 (define @t42 () (tptp.in @t41 @t1)) % 34.17/34.55 (define @t43 () (tptp.in @t28 @t2)) % 34.17/34.55 (define @t44 () (tptp.in @t41 @t29)) % 34.17/34.55 (define @t45 () (@list @t28 @t40)) % 34.17/34.55 (define @t46 () (tptp.relation_dom_restriction @t1 @t2)) % 34.17/34.55 (define @t47 () (tptp.relation @t29)) % 34.17/34.55 (define @t48 () (@list @t2 @t29)) % 34.17/34.55 (define @t49 () (tptp.in @t40 @t2)) % 34.17/34.55 (define @t50 () (tptp.relation_dom @t1)) % 34.17/34.55 (define @t51 () (@list @t40)) % 34.17/34.55 (define @t52 () (tptp.in @t28 @t29)) % 34.17/34.55 (define @t53 () (@list @t28)) % 34.17/34.55 (define @t54 () (= @t29 (tptp.relation_image @t1 @t2))) % 34.17/34.55 (define @t55 () (and @t16 @t9)) % 34.17/34.55 (define @t56 () (tptp.in @t40 @t1)) % 34.17/34.55 (define @t57 () (tptp.relation_rng_restriction @t1 @t2)) % 34.17/34.55 (define @t58 () (@list @t29)) % 34.17/34.55 (define @t59 () (tptp.apply @t1 @t28)) % 34.17/34.55 (define @t60 () (tptp.in @t28 @t50)) % 34.17/34.55 (define @t61 () (= @t29 (tptp.relation_inverse_image @t1 @t2))) % 34.17/34.55 (define @t62 () (tptp.relation_field @t1)) % 34.17/34.55 (define @t63 () (tptp.transitive @t1)) % 34.17/34.55 (define @t64 () (= @t63 (tptp.is_transitive_in @t1 @t62))) % 34.17/34.55 (define @t65 () (forall @t11 (=> @t16 @t64))) % 34.17/34.55 (define @t66 () (tptp.in @t40 @t28)) % 34.17/34.55 (define @t67 () (@list @t1 @t2 @t29 @t28)) % 34.17/34.55 (define @t68 () (tptp.singleton @t1)) % 34.17/34.55 (define @t69 () (tptp.succ @t1)) % 34.17/34.55 (define @t70 () (@list @t2)) % 34.17/34.55 (define @t71 () (tptp.in @t29 @t2)) % 34.17/34.55 (define @t72 () (= @t2 tptp.empty_set)) % 34.17/34.55 (define @t73 () (= @t2 (tptp.set_meet @t1))) % 34.17/34.55 (define @t74 () (= @t1 tptp.empty_set)) % 34.17/34.55 (define @t75 () (tptp.in @t29 @t28)) % 34.17/34.55 (define @t76 () (tptp.in @t28 @t1)) % 34.17/34.55 (define @t77 () (not @t74)) % 34.17/34.55 (define @t78 () (tptp.powerset @t1)) % 34.17/34.55 (define @t79 () (tptp.in @t31 @t1)) % 34.17/34.55 (define @t80 () (tptp.empty @t2)) % 34.17/34.55 (define @t81 () (tptp.element @t2 @t1)) % 34.17/34.55 (define @t82 () (not @t10)) % 34.17/34.55 (define @t83 () (@list @t1 @t2 @t29)) % 34.17/34.55 (define @t84 () (@var "F" $$unsorted)) % 34.17/34.55 (define @t85 () (tptp.cartesian_product2 @t1 @t2)) % 34.17/34.55 (define @t86 () (not @t71)) % 34.17/34.55 (define @t87 () (= @t2 @t29)) % 34.17/34.55 (define @t88 () (tptp.in @t2 @t29)) % 34.17/34.55 (define @t89 () (forall @t58 (=> @t30 @t71))) % 34.17/34.55 (define @t90 () (tptp.apply @t1 @t2)) % 34.17/34.55 (define @t91 () (= @t29 @t90)) % 34.17/34.55 (define @t92 () (tptp.in @t2 @t50)) % 34.17/34.55 (define @t93 () (tptp.ordered_pair @t2 @t29)) % 34.17/34.55 (define @t94 () (tptp.in @t93 @t1)) % 34.17/34.55 (define @t95 () (tptp.cast_to_subset @t1)) % 34.17/34.55 (define @t96 () (tptp.union @t1)) % 34.17/34.55 (define @t97 () (not @t43)) % 34.17/34.55 (define @t98 () (tptp.set_difference @t1 @t2)) % 34.17/34.55 (define @t99 () (and @t60 (= @t29 @t59))) % 34.17/34.55 (define @t100 () (tptp.relation_rng @t1)) % 34.17/34.55 (define @t101 () (= @t2 @t100)) % 34.17/34.55 (define @t102 () (tptp.in (tptp.ordered_pair @t28 @t29) @t1)) % 34.17/34.55 (define @t103 () (tptp.subset_complement @t1 @t2)) % 34.17/34.55 (define @t104 () (tptp.element @t2 @t78)) % 34.17/34.55 (define @t105 () (tptp.ordered_pair @t1 @t2)) % 34.17/34.55 (define @t106 () (tptp.being_limit_ordinal @t1)) % 34.17/34.55 (define @t107 () (tptp.relation_inverse @t1)) % 34.17/34.55 (define @t108 () (tptp.disjoint @t1 @t2)) % 34.17/34.55 (define @t109 () (tptp.relation_composition @t1 @t2)) % 34.17/34.55 (define @t110 () (tptp.ordered_pair @t29 @t40)) % 34.17/34.55 (define @t111 () (tptp.in @t110 @t1)) % 34.17/34.55 (define @t112 () (and @t71 @t43 @t49 @t79 @t42)) % 34.17/34.55 (define @t113 () (@list @t29 @t28 @t40)) % 34.17/34.55 (define @t114 () (forall @t113 (=> @t112 @t111))) % 34.17/34.55 (define @t115 () (tptp.is_transitive_in @t1 @t2)) % 34.17/34.55 (define @t116 () (= @t115 @t114)) % 34.17/34.55 (define @t117 () (forall @t70 @t116)) % 34.17/34.55 (define @t118 () (=> @t16 @t117)) % 34.17/34.55 (define @t119 () (forall @t11 @t118)) % 34.17/34.55 (define @t120 () (tptp.complements_of_subsets @t1 @t2)) % 34.17/34.55 (define @t121 () (tptp.powerset @t78)) % 34.17/34.55 (define @t122 () (tptp.element @t2 @t121)) % 34.17/34.55 (define @t123 () (not @t39)) % 34.17/34.55 (define @t124 () (tptp.function_inverse @t1)) % 34.17/34.55 (define @t125 () (tptp.reflexive @t1)) % 34.17/34.55 (define @t126 () (tptp.relation @t107)) % 34.17/34.55 (define @t127 () (tptp.relation @t109)) % 34.17/34.55 (define @t128 () (and @t16 @t36)) % 34.17/34.55 (define @t129 () (tptp.union_of_subsets @t1 @t2)) % 34.17/34.55 (define @t130 () (tptp.relation @t34)) % 34.17/34.55 (define @t131 () (tptp.meet_of_subsets @t1 @t2)) % 34.17/34.55 (define @t132 () (tptp.subset_difference @t1 @t2 @t29)) % 34.17/34.55 (define @t133 () (tptp.element @t29 @t78)) % 34.17/34.55 (define @t134 () (and @t104 @t133)) % 34.17/34.55 (define @t135 () (tptp.relation @t46)) % 34.17/34.55 (define @t136 () (tptp.relation_composition @t2 @t1)) % 34.17/34.55 (define @t137 () (and @t10 @t36)) % 34.17/34.55 (define @t138 () (tptp.relation_empty_yielding tptp.empty_set)) % 34.17/34.55 (define @t139 () (tptp.relation tptp.empty_set)) % 34.17/34.55 (define @t140 () (tptp.empty tptp.empty_set)) % 34.17/34.55 (define @t141 () (tptp.relation_empty_yielding @t1)) % 34.17/34.55 (define @t142 () (and @t16 @t141)) % 34.17/34.55 (define @t143 () (tptp.function @t2)) % 34.17/34.55 (define @t144 () (not (tptp.empty @t69))) % 34.17/34.55 (define @t145 () (not @t80)) % 34.17/34.55 (define @t146 () (tptp.empty @t50)) % 34.17/34.55 (define @t147 () (and @t82 @t16)) % 34.17/34.55 (define @t148 () (tptp.empty @t100)) % 34.17/34.55 (define @t149 () (tptp.disjoint @t68 @t2)) % 34.17/34.55 (define @t150 () (not @t5)) % 34.17/34.55 (define @t151 () (tptp.ordered_pair @t2 @t28)) % 34.17/34.55 (define @t152 () (tptp.in @t151 @t1)) % 34.17/34.55 (define @t153 () (and @t94 @t79)) % 34.17/34.55 (define @t154 () (@list @t2 @t29 @t28)) % 34.17/34.55 (define @t155 () (forall @t154 (=> @t153 @t152))) % 34.17/34.55 (define @t156 () (= @t63 @t155)) % 34.17/34.55 (define @t157 () (=> @t16 @t156)) % 34.17/34.55 (define @t158 () (forall @t11 @t157)) % 34.17/34.55 (define @t159 () (not @t158)) % 34.17/34.55 (define @t160 () (tptp.singleton @t2)) % 34.17/34.55 (define @t161 () (tptp.union @t2)) % 34.17/34.55 (define @t162 () (tptp.in @t1 @t29)) % 34.17/34.55 (define @t163 () (tptp.element @t1 (tptp.powerset @t2))) % 34.17/34.55 (define @t164 () (tptp.relation_dom @t29)) % 34.17/34.55 (define @t165 () (tptp.relation_dom_restriction @t29 @t1)) % 34.17/34.55 (define @t166 () (tptp.in @t2 (tptp.relation_dom @t165))) % 34.17/34.55 (define @t167 () (and @t47 (tptp.function @t29))) % 34.17/34.55 (define @t168 () (tptp.set_difference @t2 @t29)) % 34.17/34.55 (define @t169 () (= @t1 @t29)) % 34.17/34.55 (define @t170 () (tptp.relation_rng @t29)) % 34.17/34.55 (define @t171 () (tptp.relation_rng @t57)) % 34.17/34.55 (define @t172 () (tptp.relation_rng @t2)) % 34.17/34.55 (define @t173 () (tptp.cartesian_product2 @t1 @t29)) % 34.17/34.55 (define @t174 () (tptp.subset @t29 @t2)) % 34.17/34.55 (define @t175 () (forall @t58 (not (and @t174 (not (tptp.are_equipotent @t29 @t2)) @t86)))) % 34.17/34.55 (define @t176 () (tptp.powerset @t29)) % 34.17/34.55 (define @t177 () (forall @t33 (=> (and @t71 (tptp.subset @t28 @t29)) @t43))) % 34.17/34.55 (define @t178 () (tptp.relation_dom_restriction @t29 @t2)) % 34.17/34.55 (define @t179 () (tptp.relation_image @t2 @t1)) % 34.17/34.55 (define @t180 () (tptp.relation_inverse_image @t2 @t1)) % 34.17/34.55 (define @t181 () (tptp.relation_image @t2 @t180)) % 34.17/34.55 (define @t182 () (and @t36 @t143)) % 34.17/34.55 (define @t183 () (tptp.relation_dom @t2)) % 34.17/34.55 (define @t184 () (tptp.set_intersection2 @t183 @t1)) % 34.17/34.55 (define @t185 () (tptp.subset @t1 @t172)) % 34.17/34.55 (define @t186 () (tptp.relation_rng @t109)) % 34.17/34.55 (define @t187 () (tptp.relation_inverse_image @t29 @t2)) % 34.17/34.55 (define @t188 () (tptp.set_intersection2 @t2 @t29)) % 34.17/34.55 (define @t189 () (tptp.subset @t1 @t29)) % 34.17/34.55 (define @t190 () (tptp.element @t1 @t2)) % 34.17/34.55 (define @t191 () (tptp.in @t1 @t164)) % 34.17/34.55 (define @t192 () (tptp.in @t105 @t29)) % 34.17/34.55 (define @t193 () (tptp.apply @t29 @t1)) % 34.17/34.55 (define @t194 () (tptp.relation_composition @t29 @t2)) % 34.17/34.55 (define @t195 () (tptp.in @t1 (tptp.relation_dom @t194))) % 34.17/34.55 (define @t196 () (tptp.relation_field @t29)) % 34.17/34.55 (define @t197 () (and (tptp.in @t1 @t196) (tptp.in @t2 @t196))) % 34.17/34.55 (define @t198 () (=> @t192 @t197)) % 34.17/34.55 (define @t199 () (forall @t83 (=> @t47 @t198))) % 34.17/34.55 (define @t200 () (tptp.apply @t2 @t29)) % 34.17/34.55 (define @t201 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 34.17/34.55 (define @t202 () (and @t30 @t71)) % 34.17/34.55 (define @t203 () (not @t108)) % 34.17/34.55 (define @t204 () (tptp.succ @t2)) % 34.17/34.55 (define @t205 () (= @t1 @t204)) % 34.17/34.55 (define @t206 () (tptp.subset_complement @t1 @t29)) % 34.17/34.55 (define @t207 () (tptp.disjoint @t2 @t29)) % 34.17/34.55 (define @t208 () (tptp.relation_dom @t109)) % 34.17/34.55 (define @t209 () (not @t72)) % 34.17/34.55 (define @t210 () (tptp.element @t2 @t176)) % 34.17/34.55 (define @t211 () (tptp.in @t29 @t24)) % 34.17/34.55 (define @t212 () (and (tptp.in @t29 @t100) (= @t28 @t200))) % 34.17/34.55 (define @t213 () (not @t94)) % 34.17/34.55 (define @t214 () (tptp.function_inverse @t2)) % 34.17/34.55 (define @t215 () (= @t100 tptp.empty_set)) % 34.17/34.55 (define @t216 () (= @t50 tptp.empty_set)) % 34.17/34.55 (define @t217 () (= (tptp.apply @t165 @t2) (tptp.apply @t29 @t2))) % 34.17/34.55 (define @t218 () (tptp.relation_dom_restriction @t2 @t1)) % 34.17/34.55 (define @t219 () (= @t68 (tptp.unordered_pair @t2 @t29))) % 34.17/34.55 (define @t220 () (not @t79)) % 34.17/34.55 (define @t221 () (or @t213 @t220 @t152)) % 34.17/34.55 (define @t222 () (= @t63 (forall @t154 @t221))) % 34.17/34.55 (define @t223 () (not @t16)) % 34.17/34.55 (define @t224 () (@quantifiers_skolemize (forall @t11 (or @t223 @t222)) 0)) % 34.17/34.55 (define @t225 () (not (tptp.in @t31 @t224))) % 34.17/34.55 (define @t226 () (forall @t154 (or (not (tptp.in @t93 @t224)) @t225 (tptp.in @t151 @t224)))) % 34.17/34.55 (define @t227 () (tptp.transitive @t224)) % 34.17/34.55 (define @t228 () (= @t227 @t226)) % 34.17/34.55 (define @t229 () (tptp.relation @t224)) % 34.17/34.55 (define @t230 () (not @t229)) % 34.17/34.55 (define @t231 () (or @t230 @t228)) % 34.17/34.55 (define @t232 () (@list true)) % 34.17/34.55 (define @t233 () (@list @t231)) % 34.17/34.55 (define @t234 () (tptp.relation_field @t224)) % 34.17/34.55 (define @t235 () (tptp.is_transitive_in @t224 @t234)) % 34.17/34.55 (define @t236 () (= @t227 @t235)) % 34.17/34.55 (define @t237 () (or @t230 @t236)) % 34.17/34.55 (define @t238 () (@list false false)) % 34.17/34.55 (define @t239 () (not @t236)) % 34.17/34.55 (define @t240 () (not @t227)) % 34.17/34.55 (define @t241 () (@quantifiers_skolemize @t226 2)) % 34.17/34.55 (define @t242 () (@quantifiers_skolemize @t226 0)) % 34.17/34.55 (define @t243 () (tptp.in (tptp.ordered_pair @t242 @t241) @t224)) % 34.17/34.55 (define @t244 () (@quantifiers_skolemize @t226 1)) % 34.17/34.55 (define @t245 () (tptp.in (tptp.ordered_pair @t244 @t241) @t224)) % 34.17/34.55 (define @t246 () (not @t245)) % 34.17/34.55 (define @t247 () (tptp.in (tptp.ordered_pair @t242 @t244) @t224)) % 34.17/34.55 (define @t248 () (not @t247)) % 34.17/34.55 (define @t249 () (or @t248 @t246 @t243)) % 34.17/34.55 (define @t250 () (not @t249)) % 34.17/34.55 (define @t251 () (not @t226)) % 34.17/34.55 (define @t252 () (not @t42)) % 34.17/34.55 (define @t253 () (@var "BOUND_VARIABLE_9686" $$unsorted)) % 34.17/34.55 (define @t254 () (= (tptp.is_transitive_in @t1 @t253) (forall @t113 (or (not (tptp.in @t29 @t253)) (not (tptp.in @t28 @t253)) (not (tptp.in @t40 @t253)) @t220 @t252 @t111)))) % 34.17/34.55 (define @t255 () (or @t223 @t254)) % 34.17/34.55 (define @t256 () (@list @t253)) % 34.17/34.55 (define @t257 () (forall @t256 @t255)) % 34.17/34.55 (define @t258 () (forall @t256 @t254)) % 34.17/34.55 (define @t259 () (or @t223 @t258)) % 34.17/34.55 (define @t260 () (not @t49)) % 34.17/34.55 (define @t261 () (or @t86 @t97 @t260 @t220 @t252 @t111)) % 34.17/34.55 (define @t262 () (forall @t70 (= @t115 (forall @t113 @t261)))) % 34.17/34.55 (define @t263 () (or @t86 @t97 @t260 @t220 @t252)) % 34.17/34.55 (define @t264 () (forall @t113 (or (not (tptp.in @t29 @t234)) (not (tptp.in @t28 @t234)) (not (tptp.in @t40 @t234)) @t225 (not (tptp.in @t41 @t224)) (tptp.in @t110 @t224)))) % 34.17/34.55 (define @t265 () (= @t235 @t264)) % 34.17/34.55 (define @t266 () (or @t230 @t265)) % 34.17/34.55 (define @t267 () (not @t265)) % 34.17/34.55 (define @t268 () (not @t235)) % 34.17/34.55 (define @t269 () (not @t192)) % 34.17/34.55 (define @t270 () (not @t47)) % 34.17/34.55 (define @t271 () (tptp.in @t244 @t234)) % 34.17/34.55 (define @t272 () (tptp.in @t242 @t234)) % 34.17/34.55 (define @t273 () (and @t272 @t271)) % 34.17/34.55 (define @t274 () (or @t230 @t248 @t273)) % 34.17/34.55 (define @t275 () (tptp.in @t241 @t234)) % 34.17/34.55 (define @t276 () (and @t271 @t275)) % 34.17/34.55 (define @t277 () (or @t230 @t246 @t276)) % 34.17/34.55 (define @t278 () (not @t273)) % 34.17/34.55 (define @t279 () (not @t275)) % 34.17/34.55 (define @t280 () (not @t271)) % 34.17/34.55 (define @t281 () (not @t272)) % 34.17/34.55 (define @t282 () (or @t281 @t280 @t279 @t248 @t246 @t243)) % 34.17/34.55 (define @t283 () (@list true false)) % 34.17/34.55 (define @t284 () (not @t264)) % 34.17/34.55 (define @t285 () (@quantifiers_skolemize @t264 2)) % 34.17/34.55 (define @t286 () (@quantifiers_skolemize @t264 0)) % 34.17/34.55 (define @t287 () (tptp.in (tptp.ordered_pair @t286 @t285) @t224)) % 34.17/34.55 (define @t288 () (@quantifiers_skolemize @t264 1)) % 34.17/34.55 (define @t289 () (tptp.in (tptp.ordered_pair @t288 @t285) @t224)) % 34.17/34.55 (define @t290 () (not @t289)) % 34.17/34.55 (define @t291 () (tptp.in (tptp.ordered_pair @t286 @t288) @t224)) % 34.17/34.55 (define @t292 () (not @t291)) % 34.17/34.55 (define @t293 () (or (not (tptp.in @t286 @t234)) (not (tptp.in @t288 @t234)) (not (tptp.in @t285 @t234)) @t292 @t290 @t287)) % 34.17/34.55 (define @t294 () (not @t293)) % 34.17/34.55 (define @t295 () (@list @t293)) % 34.17/34.55 (define @t296 () (or @t292 @t290 @t287)) % 34.17/34.55 (define @t297 () (not @t296)) % 34.17/34.55 (assume @p1 (forall @t6 (=> @t5 @t4))) % 34.17/34.55 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 34.17/34.55 (assume @p3 (forall @t11 (=> @t10 @t9))) % 34.17/34.55 (assume @p4 (forall @t11 (=> @t15 @t14))) % 34.17/34.55 (assume @p5 (forall @t11 (=> @t10 @t16))) % 34.17/34.55 (assume @p6 (forall @t11 (=> @t19 @t18))) % 34.17/34.55 (assume @p7 (forall @t11 (=> @t14 @t15))) % 34.17/34.55 (assume @p8 (forall @t11 (=> @t10 @t20))) % 34.17/34.55 (assume @p9 (forall @t6 (= @t21 (tptp.unordered_pair @t2 @t1)))) % 34.17/34.55 (assume @p10 (forall @t6 (= @t23 @t22))) % 34.17/34.55 (assume @p11 (forall @t6 (= @t24 (tptp.set_intersection2 @t2 @t1)))) % 34.17/34.55 (assume @p12 (forall @t6 (=> @t27 (or @t25 (tptp.ordinal_subset @t2 @t1))))) % 34.17/34.55 (assume @p13 (forall @t6 (=> @t36 (= @t35 (forall @t33 (= @t32 (and @t30 (= @t29 @t28)))))))) % 34.17/34.55 (assume @p14 (forall @t6 (= @t39 (and @t38 @t37)))) % 34.17/34.55 (assume @p15 (forall @t11 (=> @t16 (forall @t48 (=> @t47 (= (= @t29 @t46) (forall @t45 (= @t44 (and @t43 @t42))))))))) % 34.17/34.55 (assume @p16 (forall @t11 (=> @t55 (forall @t48 (= @t54 (forall @t53 (= @t52 (exists @t51 (and (tptp.in @t40 @t50) @t49 (= @t28 (tptp.apply @t1 @t40))))))))))) % 34.17/34.55 (assume @p17 (forall @t6 (=> @t36 (forall @t58 (=> @t47 (= (= @t29 @t57) (forall @t45 (= @t44 (and @t56 (tptp.in @t41 @t2)))))))))) % 34.17/34.55 (assume @p18 (forall @t11 (=> @t55 (forall @t48 (= @t61 (forall @t53 (= @t52 (and @t60 (tptp.in @t59 @t2))))))))) % 34.17/34.55 (assume @p19 (forall @t11 (=> @t16 (forall @t48 (= @t54 (forall @t53 (= @t52 (exists @t51 (and (tptp.in (tptp.ordered_pair @t40 @t28) @t1) @t49))))))))) % 34.17/34.55 (assume @p20 (forall @t11 (=> @t16 (forall @t48 (= @t61 (forall @t53 (= @t52 (exists @t51 (and @t42 @t49))))))))) % 34.17/34.55 (assume @p21 @t65) % 34.17/34.55 (assume @p22 (forall @t67 (= (= @t28 (tptp.unordered_triple @t1 @t2 @t29)) (forall @t51 (= @t66 (not (and (not (= @t40 @t1)) (not (= @t40 @t2)) (not (= @t40 @t29))))))))) % 34.17/34.55 (assume @p23 (forall @t11 (= @t69 (tptp.set_union2 @t1 @t68)))) % 34.17/34.55 (assume @p24 (forall @t11 (= @t16 (forall @t70 (not (and @t3 (forall @t33 (not (= @t2 @t31))))))))) % 34.17/34.55 (assume @p25 (forall @t11 (=> @t16 (forall @t70 (= (tptp.is_reflexive_in @t1 @t2) (forall @t58 (=> @t71 (tptp.in (tptp.ordered_pair @t29 @t29) @t1)))))))) % 34.17/34.55 (assume @p26 (forall @t6 (and (=> @t77 (= @t73 (forall @t58 (= @t71 (forall @t53 (=> @t76 @t75)))))) (=> @t74 (= @t73 @t72))))) % 34.17/34.55 (assume @p27 (forall @t6 (= (= @t2 @t68) (forall @t58 (= @t71 (= @t29 @t1)))))) % 34.17/34.55 (assume @p28 (forall @t11 (= @t74 (forall @t70 @t4)))) % 34.17/34.55 (assume @p29 (forall @t6 (= (= @t2 @t78) (forall @t58 (= @t71 (tptp.subset @t29 @t1)))))) % 34.17/34.55 (assume @p30 (forall @t11 (= @t13 (forall @t70 (=> @t3 @t37))))) % 34.17/34.55 (assume @p31 (forall @t11 (=> @t16 (forall @t70 (=> @t36 (= @t39 (forall @t33 (= @t79 @t32)))))))) % 34.17/34.55 (assume @p32 (forall @t6 (and (=> @t82 (= @t81 @t3)) (=> @t10 (= @t81 @t80))))) % 34.17/34.55 (assume @p33 (forall @t83 (= (= @t29 @t21) (forall @t53 (= @t52 (or (= @t28 @t1) (= @t28 @t2))))))) % 34.17/34.55 (assume @p34 (forall @t83 (= (= @t29 @t23) (forall @t53 (= @t52 (or @t76 @t43)))))) % 34.17/34.55 (assume @p35 (forall @t83 (= (= @t29 @t85) (forall @t53 (= @t52 (exists (@list @t40 @t84) (and @t56 (tptp.in @t84 @t2) (= @t28 (tptp.ordered_pair @t40 @t84))))))))) % 34.17/34.55 (assume @p36 (forall @t11 (= @t12 (forall @t48 (not (and @t3 @t30 (not @t88) (not @t87) @t86)))))) % 34.17/34.55 (assume @p37 (forall @t11 (=> @t16 (forall @t70 (=> @t36 (= @t38 (forall @t33 (=> @t79 @t32)))))))) % 34.17/34.55 (assume @p38 (forall @t6 (= @t38 @t89))) % 34.17/34.55 (assume @p39 (forall @t83 (= (= @t29 @t24) (forall @t53 (= @t52 (and @t76 @t43)))))) % 34.17/34.55 (assume @p40 (forall @t11 (=> @t55 (forall @t48 (and (=> @t92 (= @t91 @t94)) (=> (not @t92) (= @t91 (= @t29 tptp.empty_set)))))))) % 34.17/34.55 (assume @p41 (forall @t11 (= @t15 @t14))) % 34.17/34.55 (assume @p42 (forall @t11 (=> @t16 (forall @t70 (= (= @t2 @t50) (forall @t58 (= @t71 (exists @t53 @t79)))))))) % 34.17/34.55 (assume @p43 (forall @t11 (= @t95 @t1))) % 34.17/34.55 (assume @p44 (forall @t6 (= (= @t2 @t96) (forall @t58 (= @t71 (exists @t53 (and @t75 @t76))))))) % 34.17/34.55 (assume @p45 (forall @t83 (= (= @t29 @t98) (forall @t53 (= @t52 (and @t76 @t97)))))) % 34.17/34.55 (assume @p46 (forall @t11 (=> @t55 (forall @t70 (= @t101 (forall @t58 (= @t71 (exists @t53 @t99)))))))) % 34.17/34.55 (assume @p47 (forall @t11 (=> @t16 (forall @t70 (= @t101 (forall @t58 (= @t71 (exists @t53 @t102)))))))) % 34.17/34.55 (assume @p48 (forall @t6 (=> @t104 (= @t103 @t98)))) % 34.17/34.55 (assume @p49 (forall @t6 (= @t105 (tptp.unordered_pair @t21 @t68)))) % 34.17/34.55 (assume @p50 (forall @t11 (= @t106 (= @t1 @t96)))) % 34.17/34.55 (assume @p51 (forall @t11 (=> @t16 (= @t62 (tptp.set_union2 @t50 @t100))))) % 34.17/34.55 (assume @p52 (forall @t11 (=> @t16 (forall @t70 (=> @t36 (= (= @t2 @t107) (forall @t33 (= @t32 @t102)))))))) % 34.17/34.55 (assume @p53 (forall @t6 (= @t108 (= @t24 tptp.empty_set)))) % 34.17/34.55 (assume @p54 (forall @t11 (=> @t55 (= @t17 (forall @t48 (=> (and @t92 (tptp.in @t29 @t50) (= @t90 (tptp.apply @t1 @t29))) @t87)))))) % 34.17/34.55 (assume @p55 (forall @t11 (=> @t16 (forall @t70 (=> @t36 (forall @t58 (=> @t47 (= (= @t29 @t109) (forall @t45 (= @t44 (exists (@list @t84) (and (tptp.in (tptp.ordered_pair @t28 @t84) @t1) (tptp.in (tptp.ordered_pair @t84 @t40) @t2))))))))))))) % 34.17/34.55 (assume @p56 @t119) % 34.17/34.55 (assume @p57 (forall @t6 (=> @t122 (forall @t58 (=> (tptp.element @t29 @t121) (= (= @t29 @t120) (forall @t53 (=> (tptp.element @t28 @t78) (= @t52 (tptp.in (tptp.subset_complement @t1 @t28) @t2)))))))))) % 34.17/34.55 (assume @p58 (forall @t6 (= @t8 (and @t38 @t123)))) % 34.17/34.55 (assume @p59 (forall @t11 (=> @t55 (=> @t17 (= @t124 @t107))))) % 34.17/34.55 (assume @p60 (forall @t11 (=> @t16 (= @t125 (tptp.is_reflexive_in @t1 @t62))))) % 34.17/34.55 (assume @p61 true) % 34.17/34.55 (assume @p62 (forall @t11 (=> @t55 (and (tptp.relation @t124) (tptp.function @t124))))) % 34.17/34.55 (assume @p63 (forall @t11 (tptp.element @t95 @t78))) % 34.17/34.55 (assume @p64 (forall @t6 (=> @t104 (tptp.element @t103 @t78)))) % 34.17/34.55 (assume @p65 (forall @t11 (=> @t16 @t126))) % 34.17/34.55 (assume @p66 (forall @t6 (=> @t128 @t127))) % 34.17/34.55 (assume @p67 (forall @t6 (=> @t122 (tptp.element @t129 @t78)))) % 34.17/34.55 (assume @p68 (forall @t11 @t130)) % 34.17/34.55 (assume @p69 (forall @t6 (=> @t122 (tptp.element @t131 @t78)))) % 34.17/34.55 (assume @p70 (forall @t83 (=> @t134 (tptp.element @t132 @t78)))) % 34.17/34.55 (assume @p71 (forall @t6 (=> @t16 @t135))) % 34.17/34.55 (assume @p72 (forall @t6 (=> @t122 (tptp.element @t120 @t121)))) % 34.17/34.55 (assume @p73 (forall @t6 (=> @t36 (tptp.relation @t57)))) % 34.17/34.55 (assume @p74 (forall @t11 (exists @t70 @t81))) % 34.17/34.55 (assume @p75 (forall @t6 (=> @t137 (and (tptp.empty @t136) (tptp.relation @t136))))) % 34.17/34.55 (assume @p76 (forall @t11 (=> @t10 (and (tptp.empty @t107) @t126)))) % 34.17/34.55 (assume @p77 (and @t140 @t139 @t138)) % 34.17/34.55 (assume @p78 (forall @t6 (=> @t142 (and @t135 (tptp.relation_empty_yielding @t46))))) % 34.17/34.55 (assume @p79 (forall @t6 (=> (and @t16 @t9 @t36 @t143) (and @t127 (tptp.function @t109))))) % 34.17/34.55 (assume @p80 (forall @t11 @t144)) % 34.17/34.55 (assume @p81 (forall @t6 (=> @t128 (tptp.relation @t24)))) % 34.17/34.55 (assume @p82 (forall @t11 (not (tptp.empty @t78)))) % 34.17/34.55 (assume @p83 @t140) % 34.17/34.55 (assume @p84 (forall @t6 (not (tptp.empty @t105)))) % 34.17/34.55 (assume @p85 (forall @t11 (and @t130 (tptp.function @t34)))) % 34.17/34.55 (assume @p86 (and @t139 @t138 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t140 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 34.17/34.55 (assume @p87 (forall @t6 (=> @t128 (tptp.relation @t23)))) % 34.17/34.55 (assume @p88 (forall @t11 (not (tptp.empty @t68)))) % 34.17/34.55 (assume @p89 (forall @t6 (=> @t82 (not (tptp.empty @t23))))) % 34.17/34.55 (assume @p90 (forall @t11 (=> @t18 (and @t126 (tptp.function @t107))))) % 34.17/34.55 (assume @p91 (forall @t11 (=> @t15 (and @t144 (tptp.epsilon_transitive @t69) (tptp.epsilon_connected @t69) (tptp.ordinal @t69))))) % 34.17/34.55 (assume @p92 (forall @t6 (=> @t128 (tptp.relation @t98)))) % 34.17/34.55 (assume @p93 (forall @t6 (not (tptp.empty @t21)))) % 34.17/34.55 (assume @p94 (forall @t6 (=> @t82 (not (tptp.empty @t22))))) % 34.17/34.55 (assume @p95 (forall @t6 (=> @t55 (and @t135 (tptp.function @t46))))) % 34.17/34.55 (assume @p96 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t96) (tptp.epsilon_connected @t96) (tptp.ordinal @t96))))) % 34.17/34.55 (assume @p97 (and @t140 @t139)) % 34.17/34.55 (assume @p98 (forall @t6 (=> (and @t82 @t145) (not (tptp.empty @t85))))) % 34.17/34.55 (assume @p99 (forall @t11 (=> @t147 (not @t146)))) % 34.17/34.55 (assume @p100 (forall @t11 (=> @t147 (not @t148)))) % 34.17/34.55 (assume @p101 (forall @t11 (=> @t10 (and @t146 (tptp.relation @t50))))) % 34.17/34.55 (assume @p102 (forall @t11 (=> @t10 (and @t148 (tptp.relation @t100))))) % 34.17/34.55 (assume @p103 (forall @t6 (=> @t137 (and (tptp.empty @t109) @t127)))) % 34.17/34.55 (assume @p104 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 34.17/34.55 (assume @p105 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 34.17/34.55 (assume @p106 (forall @t6 (=> @t104 (= (tptp.subset_complement @t1 @t103) @t2)))) % 34.17/34.55 (assume @p107 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t107) @t1)))) % 34.17/34.55 (assume @p108 (forall @t6 (=> @t122 (= (tptp.complements_of_subsets @t1 @t120) @t2)))) % 34.17/34.55 (assume @p109 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 34.17/34.55 (assume @p110 (forall @t11 (=> @t16 (= @t125 (forall @t70 (=> (tptp.in @t2 @t62) (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 34.17/34.55 (assume @p111 (forall @t11 (not (= @t68 tptp.empty_set)))) % 34.17/34.55 (assume @p112 (forall @t6 (=> @t5 (= (tptp.set_union2 @t68 @t2) @t2)))) % 34.17/34.55 (assume @p113 (forall @t6 (not (and @t149 @t5)))) % 34.17/34.55 (assume @p114 (forall @t6 (=> @t150 @t149))) % 34.17/34.55 (assume @p115 @t159) % 34.17/34.55 (assume @p116 (forall @t6 (= (tptp.subset @t68 @t2) @t5))) % 34.17/34.55 (assume @p117 (forall @t6 (= (= @t98 tptp.empty_set) @t38))) % 34.17/34.55 (assume @p118 (forall @t6 (=> @t104 (forall @t58 (=> @t71 @t30))))) % 34.17/34.55 (assume @p119 (forall @t83 (=> @t38 (or @t30 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t29))))))) % 34.17/34.55 (assume @p120 (forall @t6 (= (tptp.subset @t1 @t160) (or @t74 (= @t1 @t160))))) % 34.17/34.55 (assume @p121 (forall @t6 (=> @t5 (tptp.subset @t1 @t161)))) % 34.17/34.55 (assume @p122 (forall @t67 (= (tptp.in @t105 (tptp.cartesian_product2 @t29 @t28)) (and @t162 (tptp.in @t2 @t28))))) % 34.17/34.55 (assume @p123 (forall @t6 (=> @t89 @t163))) % 34.17/34.55 (assume @p124 (forall @t83 (=> @t167 (= @t166 (and (tptp.in @t2 @t164) @t3))))) % 34.17/34.55 (assume @p125 (exists @t11 @t55)) % 34.17/34.55 (assume @p126 (exists @t11 @t20)) % 34.17/34.55 (assume @p127 (exists @t11 (and @t10 @t16))) % 34.17/34.55 (assume @p128 (forall @t11 (=> @t82 (exists @t70 (and @t104 @t145))))) % 34.17/34.55 (assume @p129 (exists @t11 @t10)) % 34.17/34.55 (assume @p130 (exists @t11 @t19)) % 34.17/34.55 (assume @p131 (exists @t11 (and @t16 @t9 @t17 @t10 @t13 @t12 @t15))) % 34.17/34.55 (assume @p132 (exists @t11 @t147)) % 34.17/34.55 (assume @p133 (forall @t11 (exists @t70 (and @t104 @t80)))) % 34.17/34.55 (assume @p134 (exists @t11 @t82)) % 34.17/34.55 (assume @p135 (exists @t11 @t18)) % 34.17/34.55 (assume @p136 (exists @t11 (and @t82 @t13 @t12 @t15))) % 34.17/34.55 (assume @p137 (exists @t11 @t142)) % 34.17/34.55 (assume @p138 (exists @t11 (and @t16 @t141 @t9))) % 34.17/34.55 (assume @p139 (forall @t6 (=> @t122 (= @t129 @t161)))) % 34.17/34.55 (assume @p140 (forall @t6 (=> @t122 (= @t131 (tptp.set_meet @t2))))) % 34.17/34.55 (assume @p141 (forall @t83 (=> @t134 (= @t132 @t168)))) % 34.17/34.55 (assume @p142 (forall @t6 (=> @t27 (= @t25 @t38)))) % 34.17/34.55 (assume @p143 (forall @t6 (=> @t27 (tptp.ordinal_subset @t1 @t1)))) % 34.17/34.55 (assume @p144 (forall @t6 (tptp.subset @t1 @t1))) % 34.17/34.55 (assume @p145 (forall @t6 (=> @t108 (tptp.disjoint @t2 @t1)))) % 34.17/34.55 (assume @p146 (forall @t11 (tptp.in @t1 @t69))) % 34.17/34.55 (assume @p147 (forall @t67 (not (and (= @t21 (tptp.unordered_pair @t29 @t28)) (not @t169) (not (= @t1 @t28)))))) % 34.17/34.55 (assume @p148 (forall @t83 (=> @t47 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t29))) (and @t5 (tptp.in @t1 @t170)))))) % 34.17/34.55 (assume @p149 (forall @t6 (=> @t36 (tptp.subset @t171 @t1)))) % 34.17/34.55 (assume @p150 (forall @t6 (=> @t36 (tptp.subset @t57 @t2)))) % 34.17/34.55 (assume @p151 (forall @t6 (=> @t36 (tptp.subset @t171 @t172)))) % 34.17/34.55 (assume @p152 (forall @t83 (=> @t38 (and (tptp.subset @t173 (tptp.cartesian_product2 @t2 @t29)) (tptp.subset (tptp.cartesian_product2 @t29 @t1) (tptp.cartesian_product2 @t29 @t2)))))) % 34.17/34.55 (assume @p153 (forall @t6 (=> @t36 (= @t171 (tptp.set_intersection2 @t172 @t1))))) % 34.17/34.55 (assume @p154 (forall @t67 (=> (and @t38 (tptp.subset @t29 @t28)) (tptp.subset @t173 (tptp.cartesian_product2 @t2 @t28))))) % 34.17/34.55 (assume @p155 (forall @t6 (=> @t38 (= @t23 @t2)))) % 34.17/34.55 (assume @p156 (forall @t11 (exists @t70 (and @t5 @t177 (forall @t58 (=> @t71 (tptp.in @t176 @t2))) @t175)))) % 34.17/34.55 (assume @p157 (forall @t83 (=> @t47 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t29) @t2) (tptp.relation_rng_restriction @t1 @t178))))) % 34.17/34.55 (assume @p158 (forall @t83 (=> @t47 (= (tptp.in @t1 (tptp.relation_image @t29 @t2)) (exists @t53 (and (tptp.in @t28 @t164) (tptp.in (tptp.ordered_pair @t28 @t1) @t29) @t43)))))) % 34.17/34.55 (assume @p159 (forall @t6 (=> @t36 (tptp.subset @t179 @t172)))) % 34.17/34.55 (assume @p160 (forall @t6 (=> @t182 (tptp.subset @t181 @t1)))) % 34.17/34.55 (assume @p161 (forall @t6 (=> @t36 (= @t179 (tptp.relation_image @t2 @t184))))) % 34.17/34.55 (assume @p162 (forall @t6 (=> @t36 (=> (tptp.subset @t1 @t183) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t179)))))) % 34.17/34.55 (assume @p163 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t50) @t100)))) % 34.17/34.55 (assume @p164 (forall @t6 (=> @t182 (=> @t185 (= @t181 @t1))))) % 34.17/34.55 (assume @p165 (forall @t11 (=> @t16 (forall @t70 (=> @t36 (= @t186 (tptp.relation_image @t2 @t100))))))) % 34.17/34.55 (assume @p166 (forall @t83 (=> @t47 (= (tptp.in @t1 @t187) (exists @t53 (and (tptp.in @t28 @t170) (tptp.in (tptp.ordered_pair @t1 @t28) @t29) @t43)))))) % 34.17/34.55 (assume @p167 (forall @t6 (=> @t36 (tptp.subset @t180 @t183)))) % 34.17/34.55 (assume @p168 (forall @t6 (=> @t36 (not (and @t77 @t185 (= @t180 tptp.empty_set)))))) % 34.17/34.55 (assume @p169 (forall @t83 (=> @t47 (=> @t38 (tptp.subset (tptp.relation_inverse_image @t29 @t1) @t187))))) % 34.17/34.55 (assume @p170 (forall @t6 (tptp.subset @t24 @t1))) % 34.17/34.55 (assume @p171 (forall @t83 (=> (and @t38 @t189) (tptp.subset @t1 @t188)))) % 34.17/34.55 (assume @p172 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 34.17/34.55 (assume @p173 (forall @t6 (=> @t5 @t190))) % 34.17/34.55 (assume @p174 (forall @t83 (=> (and @t38 (tptp.subset @t2 @t29)) @t189))) % 34.17/34.55 (assume @p175 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 34.17/34.55 (assume @p176 (forall @t83 (=> @t47 (=> @t192 (and @t191 (tptp.in @t2 @t170)))))) % 34.17/34.55 (assume @p177 (forall @t6 (=> @t182 (forall @t58 (=> @t167 (= @t195 (and @t191 (tptp.in @t193 @t183)))))))) % 34.17/34.55 (assume @p178 (forall @t11 (=> @t13 (forall @t70 (=> @t26 (=> @t8 @t5)))))) % 34.17/34.55 (assume @p179 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t50 @t100))))) % 34.17/34.55 (assume @p180 (forall @t6 (=> @t182 (forall @t58 (=> @t167 (=> @t195 (= (tptp.apply @t194 @t1) (tptp.apply @t2 @t193)))))))) % 34.17/34.55 (assume @p181 (forall @t6 (=> @t182 (forall @t58 (=> @t167 (=> (tptp.in @t1 @t183) (= (tptp.apply (tptp.relation_composition @t2 @t29) @t1) (tptp.apply @t29 (tptp.apply @t2 @t1))))))))) % 34.17/34.55 (assume @p182 (forall @t6 (=> @t26 (=> @t5 @t15)))) % 34.17/34.55 (assume @p183 (forall @t11 (=> @t15 (forall @t70 (=> @t26 (not (and @t150 @t123 @t4))))))) % 34.17/34.55 (assume @p184 (forall @t11 (=> @t16 (forall @t70 (=> @t36 (=> @t38 (and (tptp.subset @t50 @t183) (tptp.subset @t100 @t172)))))))) % 34.17/34.55 (assume @p185 (forall @t83 (=> @t38 (tptp.subset (tptp.set_intersection2 @t1 @t29) @t188)))) % 34.17/34.55 (assume @p186 (forall @t6 (=> @t38 (= @t24 @t1)))) % 34.17/34.55 (assume @p187 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 34.17/34.55 (assume @p188 (forall @t6 (=> @t190 (or @t80 @t5)))) % 34.17/34.55 (assume @p189 (forall @t6 (=> (forall @t58 (= @t30 @t71)) @t39))) % 34.17/34.55 (assume @p190 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 34.17/34.55 (assume @p191 @t199) % 34.17/34.55 (assume @p192 (forall @t11 (=> (forall @t70 (=> @t3 (and @t26 @t37))) @t15))) % 34.17/34.55 (assume @p193 (forall @t6 (=> @t26 (not (and @t38 @t77 (forall @t58 (=> (tptp.ordinal @t29) (not (and @t30 (forall @t53 (=> (tptp.ordinal @t28) (=> @t76 (tptp.ordinal_subset @t29 @t28))))))))))))) % 34.17/34.55 (assume @p194 (forall @t11 (=> @t15 (forall @t70 (=> @t26 (= @t5 (tptp.ordinal_subset @t69 @t2))))))) % 34.17/34.55 (assume @p195 (forall @t83 (=> @t38 (tptp.subset (tptp.set_difference @t1 @t29) @t168)))) % 34.17/34.55 (assume @p196 (forall @t67 (=> (= @t105 @t31) (and @t169 (= @t2 @t28))))) % 34.17/34.55 (assume @p197 (forall @t6 (=> @t182 (= @t35 (and (= @t183 @t1) (forall @t58 (=> @t30 (= @t200 @t29)))))))) % 34.17/34.55 (assume @p198 (forall @t6 (=> @t3 (= (tptp.apply @t34 @t2) @t2)))) % 34.17/34.55 (assume @p199 (forall @t6 (tptp.subset @t98 @t1))) % 34.17/34.55 (assume @p200 (forall @t11 (=> @t16 (and (= @t100 (tptp.relation_dom @t107)) (= @t50 (tptp.relation_rng @t107)))))) % 34.17/34.55 (assume @p201 (forall @t83 (= (tptp.subset @t21 @t29) (and @t162 @t88)))) % 34.17/34.55 (assume @p202 (forall @t6 (= @t201 @t23))) % 34.17/34.55 (assume @p203 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 34.17/34.55 (assume @p204 (forall @t83 (not (and @t5 @t88 @t30)))) % 34.17/34.55 (assume @p205 (forall @t6 (= @t163 @t38))) % 34.17/34.55 (assume @p206 (forall @t6 (and (not (and @t203 (forall @t58 (not @t202)))) (not (and (exists @t58 @t202) @t108))))) % 34.17/34.55 (assume @p207 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t74))) % 34.17/34.55 (assume @p208 (forall @t6 (= (tptp.set_difference @t23 @t2) @t98))) % 34.17/34.55 (assume @p209 (forall @t11 (=> @t15 (= @t106 (forall @t70 (=> @t26 (=> @t3 (tptp.in @t204 @t1)))))))) % 34.17/34.55 (assume @p210 (forall @t11 (=> @t15 (and (not (and (not @t106) (forall @t70 (=> @t26 (not @t205))))) (not (and (exists @t70 (and @t26 @t205)) @t106)))))) % 34.17/34.55 (assume @p211 (forall @t6 (=> @t104 (forall @t58 (=> @t133 (= @t207 (tptp.subset @t2 @t206))))))) % 34.17/34.55 (assume @p212 (forall @t11 (=> @t16 (forall @t70 (=> @t36 (tptp.subset @t208 @t50)))))) % 34.17/34.55 (assume @p213 (forall @t11 (=> @t16 (forall @t70 (=> @t36 (tptp.subset @t186 @t172)))))) % 34.17/34.55 (assume @p214 (forall @t6 (=> @t38 (= @t2 @t201)))) % 34.17/34.55 (assume @p215 (forall @t11 (=> @t16 (forall @t70 (=> @t36 (=> (tptp.subset @t100 @t183) (= @t208 @t50))))))) % 34.17/34.55 (assume @p216 (forall @t6 (=> @t122 (not (and @t209 (= @t120 tptp.empty_set)))))) % 34.17/34.55 (assume @p217 (forall @t11 (=> @t16 (forall @t70 (=> @t36 (=> (tptp.subset @t50 @t172) (= (tptp.relation_rng @t136) @t100))))))) % 34.17/34.55 (assume @p218 (forall @t6 (=> @t122 (=> @t209 (= (tptp.subset_difference @t1 @t95 @t129) (tptp.meet_of_subsets @t1 @t120)))))) % 34.17/34.55 (assume @p219 (forall @t6 (=> @t122 (=> @t209 (= (tptp.union_of_subsets @t1 @t120) (tptp.subset_difference @t1 @t95 @t131)))))) % 34.17/34.55 (assume @p220 (forall @t6 (= (tptp.set_difference @t1 @t98) @t24))) % 34.17/34.55 (assume @p221 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 34.17/34.55 (assume @p222 (forall @t83 (=> (and @t5 @t210) (tptp.element @t1 @t29)))) % 34.17/34.55 (assume @p223 (forall @t6 (and (not (and @t203 (forall @t58 (not @t211)))) (not (and (exists @t58 @t211) @t108))))) % 34.17/34.55 (assume @p224 (forall @t11 (=> @t77 (forall @t70 (=> @t104 (forall @t58 (=> (tptp.element @t29 @t1) (=> @t86 (tptp.in @t29 @t103))))))))) % 34.17/34.55 (assume @p225 (forall @t11 (=> @t55 (=> @t17 (forall @t70 (=> @t182 (= (= @t2 @t124) (and (= @t183 @t100) (forall @t33 (and (=> @t212 @t99) (=> @t99 @t212))))))))))) % 34.17/34.55 (assume @p226 (forall @t83 (=> @t133 (not (and (tptp.in @t2 @t206) @t88))))) % 34.17/34.55 (assume @p227 (forall @t11 (=> @t55 (=> @t17 (and (= @t100 (tptp.relation_dom @t124)) (= @t50 (tptp.relation_rng @t124))))))) % 34.17/34.55 (assume @p228 (forall @t11 (=> @t16 (=> (forall @t48 @t213) @t74)))) % 34.17/34.55 (assume @p229 (forall @t6 (=> @t182 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t172)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t214 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t214 @t2) @t1))))))) % 34.17/34.55 (assume @p230 (forall @t83 (not (and @t5 @t210 (tptp.empty @t29))))) % 34.17/34.55 (assume @p231 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 34.17/34.55 (assume @p232 (forall @t6 (not (and @t38 @t7)))) % 34.17/34.55 (assume @p233 (forall @t11 (=> @t55 (=> @t17 (tptp.one_to_one @t124))))) % 34.17/34.55 (assume @p234 (forall @t83 (=> (and @t38 @t207) (tptp.disjoint @t1 @t29)))) % 34.17/34.55 (assume @p235 (forall @t11 (=> @t16 (=> (or @t216 @t215) @t74)))) % 34.17/34.55 (assume @p236 (forall @t11 (=> @t16 (= @t216 @t215)))) % 34.17/34.55 (assume @p237 (forall @t6 (= (= (tptp.set_difference @t1 @t160) @t1) @t4))) % 34.17/34.55 (assume @p238 (forall @t6 (=> @t182 (forall @t58 (=> @t167 (= (= @t2 @t165) (and (= @t183 (tptp.set_intersection2 @t164 @t1)) (forall @t53 (=> (tptp.in @t28 @t183) (= (tptp.apply @t2 @t28) (tptp.apply @t29 @t28))))))))))) % 34.17/34.55 (assume @p239 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t68))) % 34.17/34.55 (assume @p240 (forall @t11 (=> @t10 @t74))) % 34.17/34.55 (assume @p241 (forall @t6 (=> (tptp.subset @t68 @t160) @t39))) % 34.17/34.55 (assume @p242 (forall @t83 (=> @t167 (=> @t166 @t217)))) % 34.17/34.55 (assume @p243 (forall @t11 (and (= (tptp.relation_dom @t34) @t1) (= (tptp.relation_rng @t34) @t1)))) % 34.17/34.55 (assume @p244 (forall @t83 (=> @t167 (=> @t3 @t217)))) % 34.17/34.55 (assume @p245 (forall @t67 (=> (tptp.relation @t28) (= (tptp.in @t105 (tptp.relation_composition (tptp.identity_relation @t29) @t28)) (and @t162 (tptp.in @t105 @t28)))))) % 34.17/34.55 (assume @p246 (forall @t6 (not (and @t5 @t80)))) % 34.17/34.55 (assume @p247 (forall @t6 (not (and @t5 (forall @t58 (not (and @t71 (forall @t53 (not (and @t43 @t52)))))))))) % 34.17/34.55 (assume @p248 (forall @t6 (tptp.subset @t1 @t23))) % 34.17/34.55 (assume @p249 (forall @t6 (= @t108 (= @t98 @t1)))) % 34.17/34.55 (assume @p250 (forall @t83 (=> @t47 (= (tptp.in @t1 (tptp.relation_dom @t178)) (and @t5 @t191))))) % 34.17/34.55 (assume @p251 (forall @t6 (=> @t36 (tptp.subset @t218 @t2)))) % 34.17/34.55 (assume @p252 (forall @t6 (not (and @t10 @t123 @t80)))) % 34.17/34.55 (assume @p253 (forall @t83 (=> @t167 (= @t192 (and @t191 (= @t2 @t193)))))) % 34.17/34.55 (assume @p254 (forall @t83 (=> (and @t38 @t174) (tptp.subset (tptp.set_union2 @t1 @t29) @t2)))) % 34.17/34.55 (assume @p255 (forall @t83 (=> @t219 @t39))) % 34.17/34.55 (assume @p256 (forall @t6 (=> @t36 (= (tptp.relation_dom @t218) @t184)))) % 34.17/34.55 (assume @p257 (forall @t6 (=> @t36 (= @t218 (tptp.relation_composition @t34 @t2))))) % 34.17/34.55 (assume @p258 (forall @t6 (=> @t36 (tptp.subset (tptp.relation_rng @t218) @t172)))) % 34.17/34.55 (assume @p259 (forall @t11 (= (tptp.union @t78) @t1))) % 34.17/34.55 (assume @p260 (forall @t11 (exists @t70 (and @t5 @t177 (forall @t58 (not (and @t71 (forall @t53 (not (and @t43 (forall @t51 (=> (tptp.subset @t40 @t29) @t66)))))))) @t175)))) % 34.17/34.55 (assume @p261 (forall @t83 (=> @t219 @t87))) % 34.17/34.55 (step @p262 :rule bool-impl-elim :args (@t16 @t222)) % 34.17/34.55 (step @p263 :rule cong :premises (@p262) :args ((forall @t11 (=> @t16 @t222)))) % 34.17/34.55 (step @p264 :rule aci_norm :args ((= (or (or @t213 @t220) @t152) @t221))) % 34.17/34.55 (step @p265 :rule refl :args (@t152)) % 34.17/34.55 (step @p266 :rule bool-and-de-morgan :args (@t94 @t79 true)) % 34.17/34.55 (step @p267 :rule nary_cong :premises (@p266 @p265) :args ((or (not @t153) @t152))) % 34.17/34.55 (step @p268 :rule trans :premises (@p267 @p264)) % 34.17/34.55 (step @p269 :rule bool-impl-elim :args (@t153 @t152)) % 34.17/34.55 (step @p270 :rule trans :premises (@p269 @p268)) % 34.17/34.55 (step @p271 :rule cong :premises (@p270) :args (@t155)) % 34.17/34.55 (step @p272 :rule refl :args (@t63)) % 34.17/34.55 (step @p273 :rule cong :premises (@p272 @p271) :args (@t156)) % 34.17/34.55 (step @p274 :rule refl :args (@t16)) % 34.17/34.55 (step @p275 :rule cong :premises (@p274 @p273) :args (@t157)) % 34.17/34.55 (step @p276 :rule cong :premises (@p275) :args (@t158)) % 34.17/34.55 (step @p277 :rule trans :premises (@p276 @p263)) % 34.17/34.55 (step @p278 :rule cong :premises (@p277) :args (@t159)) % 34.17/34.55 (step @p279 :rule eq_resolve :premises (@p115 @p278)) % 34.17/34.55 (step @p280 :rule skolemize :premises (@p279)) % 34.17/34.55 (step @p281 :rule cnf_or_neg :args (@t231 1)) % 34.17/34.55 (step @p282 :rule chain_m_resolution :premises (@p281 @p280) :args ((not @t228) @t232 @t233)) % 34.17/34.55 (step @p283 :rule cnf_equiv_neg2 :args (@t228)) % 34.17/34.55 (step @p284 :rule bool-impl-elim :args (@t16 @t64)) % 34.17/34.55 (step @p285 :rule cong :premises (@p284) :args (@t65)) % 34.17/34.55 (step @p286 :rule eq_resolve :premises (@p21 @p285)) % 34.17/34.55 (step @p287 :rule instantiate :premises (@p286) :args ((@list @t224))) % 34.17/34.55 (step @p288 :rule bool-double-not-elim :args (@t229)) % 34.17/34.55 (step @p289 :rule refl :args (@t231)) % 34.17/34.55 (step @p290 :rule nary_cong :premises (@p289 @p288) :args ((or @t231 (not @t230)))) % 34.17/34.55 (step @p291 :rule cnf_or_neg :args (@t231 0)) % 34.17/34.55 (step @p292 :rule eq_resolve :premises (@p291 @p290)) % 34.17/34.55 (step @p293 :rule reordering :premises (@p292) :args ((or @t229 @t231))) % 34.17/34.55 (step @p294 :rule chain_m_resolution :premises (@p293 @p280) :args (@t229 @t232 @t233)) % 34.17/34.55 (step @p295 :rule cnf_or_pos :args (@t237)) % 34.17/34.55 (step @p296 :rule reordering :premises (@p295) :args ((or @t230 @t236 (not @t237)))) % 34.17/34.55 (step @p297 :rule chain_m_resolution :premises (@p296 @p294 @p287) :args (@t236 @t238 (@list @t229 @t237))) % 34.17/34.55 (step @p298 :rule cnf_equiv_pos1 :args (@t236)) % 34.17/34.55 (step @p299 :rule reordering :premises (@p298) :args ((or @t240 @t235 @t239))) % 34.17/34.55 (step @p300 :rule refl :args (@t250)) % 34.17/34.55 (step @p301 :rule bool-double-not-elim :args (@t226)) % 34.17/34.55 (step @p302 :rule nary_cong :premises (@p301 @p300) :args ((or (not @t251) @t250))) % 34.17/34.55 (assume-push @p440 @t251) % 34.17/34.55 (step @p304 :rule skolemize :premises (@p440)) % 34.17/34.55 (step-pop @p441 :rule scope :premises (@p304)) % 34.17/34.55 (step @p305 :rule process_scope :premises (@p441) :args (@t250)) % 34.17/34.55 (step @p307 :rule implies_elim :premises (@p305)) % 34.17/34.55 (step @p308 :rule eq_resolve :premises (@p307 @p302)) % 34.17/34.55 (step @p309 :rule quant-merge-prenex :args ((= (forall @t11 @t257) (forall (@list @t1 @t253) @t255)))) % 34.17/34.55 (step @p310 :rule alpha_equiv :args (@t258 (@list @t253) (@list @t2))) % 34.17/34.55 (step @p311 :rule refl :args (@t223)) % 34.17/34.55 (step @p312 :rule nary_cong :premises (@p311 @p310) :args (@t259)) % 34.17/34.55 (step @p313 :rule quant-miniscope-or :args ((= @t257 @t259))) % 34.17/34.55 (step @p314 :rule trans :premises (@p313 @p312)) % 34.17/34.55 (step @p315 :rule symm :premises (@p314)) % 34.17/34.55 (step @p316 :rule cong :premises (@p315) :args ((forall @t11 (or @t223 @t262)))) % 34.17/34.55 (step @p317 :rule trans :premises (@p316 @p309)) % 34.17/34.55 (step @p318 :rule bool-impl-elim :args (@t16 @t262)) % 34.17/34.55 (step @p319 :rule cong :premises (@p318) :args ((forall @t11 (=> @t16 @t262)))) % 34.17/34.55 (step @p320 :rule trans :premises (@p319 @p317)) % 34.17/34.55 (step @p321 :rule aci_norm :args ((= (or @t263 @t111) @t261))) % 34.17/34.55 (step @p322 :rule refl :args (@t111)) % 34.17/34.55 (step @p323 :rule aci_norm :args ((= (or @t86 (or @t97 (or @t260 (or @t220 @t252)))) @t263))) % 34.17/34.55 (step @p324 :rule bool-and-de-morgan :args (@t79 @t42 true)) % 34.17/34.55 (step @p325 :rule refl :args (@t260)) % 34.17/34.55 (step @p326 :rule nary_cong :premises (@p325 @p324) :args ((or @t260 (not (and @t79 @t42))))) % 34.17/34.55 (step @p327 :rule bool-and-de-morgan :args (@t49 @t79 (and @t42))) % 34.17/34.55 (step @p328 :rule trans :premises (@p327 @p326)) % 34.17/34.55 (step @p329 :rule refl :args (@t97)) % 34.17/34.55 (step @p330 :rule nary_cong :premises (@p329 @p328) :args ((or @t97 (not (and @t49 @t79 @t42))))) % 34.17/34.55 (step @p331 :rule bool-and-de-morgan :args (@t43 @t49 (and @t79 @t42))) % 34.17/34.55 (step @p332 :rule trans :premises (@p331 @p330)) % 34.17/34.55 (step @p333 :rule refl :args (@t86)) % 34.17/34.55 (step @p334 :rule nary_cong :premises (@p333 @p332) :args ((or @t86 (not (and @t43 @t49 @t79 @t42))))) % 34.17/34.55 (step @p335 :rule bool-and-de-morgan :args (@t71 @t43 (and @t49 @t79 @t42))) % 34.17/34.55 (step @p336 :rule trans :premises (@p335 @p334)) % 34.17/34.55 (step @p337 :rule trans :premises (@p336 @p323)) % 34.17/34.55 (step @p338 :rule nary_cong :premises (@p337 @p322) :args ((or (not @t112) @t111))) % 34.17/34.55 (step @p339 :rule trans :premises (@p338 @p321)) % 34.17/34.55 (step @p340 :rule bool-impl-elim :args (@t112 @t111)) % 34.17/34.55 (step @p341 :rule trans :premises (@p340 @p339)) % 34.17/34.55 (step @p342 :rule cong :premises (@p341) :args (@t114)) % 34.17/34.55 (step @p343 :rule refl :args (@t115)) % 34.17/34.55 (step @p344 :rule cong :premises (@p343 @p342) :args (@t116)) % 34.17/34.55 (step @p345 :rule cong :premises (@p344) :args (@t117)) % 34.17/34.55 (step @p346 :rule cong :premises (@p274 @p345) :args (@t118)) % 34.17/34.55 (step @p347 :rule cong :premises (@p346) :args (@t119)) % 34.17/34.55 (step @p348 :rule trans :premises (@p347 @p320)) % 34.17/34.55 (step @p349 :rule eq_resolve :premises (@p56 @p348)) % 34.17/34.55 (step @p350 :rule instantiate :premises (@p349) :args ((@list @t224 @t234))) % 34.17/34.55 (step @p351 :rule cnf_or_pos :args (@t266)) % 34.17/34.55 (step @p352 :rule reordering :premises (@p351) :args ((or @t230 @t265 (not @t266)))) % 34.17/34.55 (step @p353 :rule chain_m_resolution :premises (@p352 @p294 @p350) :args (@t265 @t238 (@list @t229 @t266))) % 34.17/34.55 (step @p354 :rule cnf_equiv_pos1 :args (@t265)) % 34.17/34.55 (step @p355 :rule reordering :premises (@p354) :args ((or @t268 @t264 @t267))) % 34.17/34.55 (step @p356 :rule bool-double-not-elim :args (@t247)) % 34.17/34.55 (step @p357 :rule refl :args (@t249)) % 34.17/34.55 (step @p358 :rule nary_cong :premises (@p357 @p356) :args ((or @t249 (not @t248)))) % 34.17/34.55 (step @p359 :rule cnf_or_neg :args (@t249 0)) % 34.17/34.55 (step @p360 :rule eq_resolve :premises (@p359 @p358)) % 34.17/34.55 (step @p361 :rule reordering :premises (@p360) :args ((or @t247 @t249))) % 34.17/34.55 (step @p362 :rule bool-double-not-elim :args (@t245)) % 34.17/34.55 (step @p363 :rule nary_cong :premises (@p357 @p362) :args ((or @t249 (not @t246)))) % 34.17/34.55 (step @p364 :rule cnf_or_neg :args (@t249 1)) % 34.17/34.55 (step @p365 :rule eq_resolve :premises (@p364 @p363)) % 34.17/34.55 (step @p366 :rule reordering :premises (@p365) :args ((or @t245 @t249))) % 34.17/34.55 (step @p367 :rule cnf_or_neg :args (@t249 2)) % 34.17/34.55 (step @p368 :rule aci_norm :args ((= (or @t270 (or @t269 @t197)) (or @t270 @t269 @t197)))) % 34.17/34.55 (step @p369 :rule bool-impl-elim :args (@t192 @t197)) % 34.17/34.55 (step @p370 :rule refl :args (@t270)) % 34.17/34.55 (step @p371 :rule nary_cong :premises (@p370 @p369) :args ((or @t270 @t198))) % 34.17/34.55 (step @p372 :rule trans :premises (@p371 @p368)) % 34.17/34.55 (step @p373 :rule bool-impl-elim :args (@t47 @t198)) % 34.17/34.55 (step @p374 :rule trans :premises (@p373 @p372)) % 34.17/34.55 (step @p375 :rule cong :premises (@p374) :args (@t199)) % 34.17/34.55 (step @p376 :rule eq_resolve :premises (@p191 @p375)) % 34.17/34.55 (step @p377 :rule instantiate :premises (@p376) :args ((@list @t242 @t244 @t224))) % 34.17/34.55 (step @p378 :rule cnf_or_pos :args (@t274)) % 34.17/34.55 (step @p379 :rule reordering :premises (@p378) :args ((or @t230 @t248 @t273 (not @t274)))) % 34.17/34.55 (step @p380 :rule instantiate :premises (@p376) :args ((@list @t244 @t241 @t224))) % 34.17/34.55 (step @p381 :rule cnf_or_pos :args (@t277)) % 34.17/34.55 (step @p382 :rule reordering :premises (@p381) :args ((or @t230 @t246 @t276 (not @t277)))) % 34.17/34.55 (step @p383 :rule cnf_and_pos :args (@t273 0)) % 34.17/34.55 (step @p384 :rule reordering :premises (@p383) :args ((or @t272 @t278))) % 34.17/34.55 (step @p385 :rule cnf_and_pos :args (@t273 1)) % 34.17/34.55 (step @p386 :rule reordering :premises (@p385) :args ((or @t271 @t278))) % 34.17/34.55 (step @p387 :rule cnf_and_pos :args (@t276 1)) % 34.17/34.55 (step @p388 :rule reordering :premises (@p387) :args ((or @t275 (not @t276)))) % 34.17/34.55 (step @p389 :rule cnf_or_pos :args (@t282)) % 34.17/34.55 (step @p390 :rule reordering :premises (@p389) :args ((or @t248 @t246 @t243 @t280 @t279 @t281 (not @t282)))) % 34.17/34.55 (assume-push @p442 @t264) % 34.17/34.55 (step @p392 :rule instantiate :premises (@p442) :args ((@list @t242 @t244 @t241))) % 34.17/34.55 (step-pop @p443 :rule scope :premises (@p392)) % 34.17/34.55 (step @p393 :rule process_scope :premises (@p443) :args (@t282)) % 34.17/34.55 (step @p395 :rule implies_elim :premises (@p393)) % 34.17/34.55 (step @p396 :rule chain_m_resolution :premises (@p395 @p390 @p388 @p386 @p384 @p382 @p380 @p294 @p379 @p377 @p294 @p367 @p366 @p361 @p355 @p353 @p308 @p299 @p297 @p283 @p282) :args (@t240 (@list true false false false false false false false false false true false false false false true false false true true) (@list @t282 @t275 @t271 @t272 @t276 @t277 @t229 @t273 @t274 @t229 @t243 @t245 @t247 @t264 @t265 @t249 @t235 @t236 @t226 @t228))) % 34.17/34.55 (step @p397 :rule cnf_equiv_neg1 :args (@t228)) % 34.17/34.55 (step @p398 :rule reordering :premises (@p397) :args ((or @t227 @t226 @t228))) % 34.17/34.55 (step @p399 :rule chain_m_resolution :premises (@p398 @p396 @p282) :args (@t226 (@list true true) (@list @t227 @t228))) % 34.17/34.55 (step @p400 :rule cnf_equiv_pos2 :args (@t236)) % 34.17/34.55 (step @p401 :rule reordering :premises (@p400) :args ((or @t227 @t268 @t239))) % 34.17/34.55 (step @p402 :rule chain_m_resolution :premises (@p401 @p396 @p297) :args (@t268 @t283 (@list @t227 @t236))) % 34.17/34.55 (step @p403 :rule cnf_equiv_pos2 :args (@t265)) % 34.17/34.55 (step @p404 :rule reordering :premises (@p403) :args ((or @t235 @t284 @t267))) % 34.17/34.55 (step @p405 :rule chain_m_resolution :premises (@p404 @p402 @p353) :args (@t284 @t283 (@list @t235 @t265))) % 34.17/34.55 (step @p406 :rule refl :args (@t294)) % 34.17/34.55 (step @p407 :rule bool-double-not-elim :args (@t264)) % 34.17/34.55 (step @p408 :rule nary_cong :premises (@p407 @p406) :args ((or (not @t284) @t294))) % 34.17/34.55 (assume-push @p444 @t284) % 34.17/34.55 (step @p410 :rule skolemize :premises (@p444)) % 34.17/34.55 (step-pop @p445 :rule scope :premises (@p410)) % 34.17/34.55 (step @p411 :rule process_scope :premises (@p445) :args (@t294)) % 34.17/34.55 (step @p413 :rule implies_elim :premises (@p411)) % 34.17/34.55 (step @p414 :rule eq_resolve :premises (@p413 @p408)) % 34.17/34.55 (step @p415 :rule chain_m_resolution :premises (@p414 @p405) :args (@t294 @t232 (@list @t264))) % 34.17/34.55 (step @p416 :rule cnf_or_neg :args (@t293 5)) % 34.17/34.55 (step @p417 :rule chain_m_resolution :premises (@p416 @p415) :args ((not @t287) @t232 @t295)) % 34.17/34.55 (step @p418 :rule bool-double-not-elim :args (@t289)) % 34.17/34.55 (step @p419 :rule refl :args (@t293)) % 34.17/34.55 (step @p420 :rule nary_cong :premises (@p419 @p418) :args ((or @t293 (not @t290)))) % 34.17/34.55 (step @p421 :rule cnf_or_neg :args (@t293 4)) % 34.17/34.55 (step @p422 :rule eq_resolve :premises (@p421 @p420)) % 34.17/34.55 (step @p423 :rule reordering :premises (@p422) :args ((or @t289 @t293))) % 34.17/34.55 (step @p424 :rule chain_m_resolution :premises (@p423 @p415) :args (@t289 @t232 @t295)) % 34.17/34.55 (step @p425 :rule bool-double-not-elim :args (@t291)) % 34.17/34.55 (step @p426 :rule nary_cong :premises (@p419 @p425) :args ((or @t293 (not @t292)))) % 34.17/34.55 (step @p427 :rule cnf_or_neg :args (@t293 3)) % 34.17/34.55 (step @p428 :rule eq_resolve :premises (@p427 @p426)) % 34.17/34.55 (step @p429 :rule reordering :premises (@p428) :args ((or @t291 @t293))) % 34.17/34.55 (step @p430 :rule chain_m_resolution :premises (@p429 @p415) :args (@t291 @t232 @t295)) % 34.17/34.55 (step @p431 :rule cnf_or_pos :args (@t296)) % 34.17/34.55 (step @p432 :rule reordering :premises (@p431) :args ((or @t292 @t290 @t287 @t297))) % 34.17/34.55 (step @p433 :rule chain_m_resolution :premises (@p432 @p430 @p424 @p417) :args (@t297 (@list false false true) (@list @t291 @t289 @t287))) % 34.17/34.55 (assume-push @p446 @t226) % 34.17/34.55 (step @p435 :rule instantiate :premises (@p446) :args ((@list @t286 @t288 @t285))) % 34.17/34.55 (step-pop @p447 :rule scope :premises (@p435)) % 34.17/34.55 (step @p436 :rule process_scope :premises (@p447) :args (@t296)) % 34.17/34.55 (step @p438 :rule implies_elim :premises (@p436)) % 34.17/34.55 (step @p439 false :rule chain_m_resolution :premises (@p438 @p433 @p399) :args (false @t283 (@list @t296 @t226))) % 34.17/34.55 ) % 34.17/34.55 % SZS output end Proof % 34.17/34.55 % cvc5 exiting %------------------------------------------------------------------------------