%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU241+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : 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 08:51:06 AM UTC 2026 % Result : Theorem 34.24s 34.75s % Output : Proof 34.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU241+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n017.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:45:46 EDT 2026 % 0.16/0.35 % CPUTime : % 0.38/0.56 %----Proving TF0_NAR, FOF, or CNF % 34.24/34.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.24/34.75 --- Run --no-e-matching --full-saturate-quant at 6... % 34.24/34.75 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.24/34.75 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.24/34.75 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.24/34.75 % SZS status Theorem % 34.24/34.75 % SZS output start Proof % 34.24/34.75 ( % 34.24/34.75 (declare-sort $$unsorted 0) % 34.24/34.75 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 34.24/34.75 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 34.24/34.75 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 34.24/34.75 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 34.24/34.75 (declare-const tptp.empty_set $$unsorted) % 34.24/34.75 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 34.24/34.75 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 34.24/34.75 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 34.24/34.75 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.relation (-> $$unsorted Bool)) % 34.24/34.75 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 34.24/34.75 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 34.24/34.75 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 34.24/34.75 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 34.24/34.75 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 34.24/34.75 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.function (-> $$unsorted Bool)) % 34.24/34.75 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.empty (-> $$unsorted Bool)) % 34.24/34.75 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 34.24/34.75 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 34.24/34.75 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 34.24/34.75 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 34.24/34.75 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 34.24/34.75 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 34.24/34.75 (declare-const tptp.transitive (-> $$unsorted Bool)) % 34.24/34.75 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 34.24/34.75 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.24/34.75 (define @t1 () (@var "A" $$unsorted)) % 34.24/34.75 (define @t2 () (@var "B" $$unsorted)) % 34.24/34.75 (define @t3 () (tptp.in @t2 @t1)) % 34.24/34.75 (define @t4 () (not @t3)) % 34.24/34.75 (define @t5 () (tptp.in @t1 @t2)) % 34.24/34.75 (define @t6 () (@list @t1 @t2)) % 34.24/34.75 (define @t7 () (tptp.proper_subset @t2 @t1)) % 34.24/34.75 (define @t8 () (tptp.proper_subset @t1 @t2)) % 34.24/34.75 (define @t9 () (tptp.function @t1)) % 34.24/34.75 (define @t10 () (tptp.empty @t1)) % 34.24/34.75 (define @t11 () (@list @t1)) % 34.24/34.75 (define @t12 () (tptp.epsilon_connected @t1)) % 34.24/34.75 (define @t13 () (tptp.epsilon_transitive @t1)) % 34.24/34.75 (define @t14 () (and @t13 @t12)) % 34.24/34.75 (define @t15 () (tptp.ordinal @t1)) % 34.24/34.75 (define @t16 () (tptp.relation @t1)) % 34.24/34.75 (define @t17 () (tptp.one_to_one @t1)) % 34.24/34.75 (define @t18 () (and @t16 @t9 @t17)) % 34.24/34.75 (define @t19 () (and @t16 @t10 @t9)) % 34.24/34.75 (define @t20 () (and @t13 @t12 @t15)) % 34.24/34.75 (define @t21 () (tptp.unordered_pair @t1 @t2)) % 34.24/34.75 (define @t22 () (tptp.set_union2 @t2 @t1)) % 34.24/34.75 (define @t23 () (tptp.set_union2 @t1 @t2)) % 34.24/34.75 (define @t24 () (tptp.set_intersection2 @t1 @t2)) % 34.24/34.75 (define @t25 () (tptp.ordinal_subset @t1 @t2)) % 34.24/34.75 (define @t26 () (tptp.ordinal @t2)) % 34.24/34.75 (define @t27 () (and @t15 @t26)) % 34.24/34.75 (define @t28 () (@var "D" $$unsorted)) % 34.24/34.75 (define @t29 () (@var "C" $$unsorted)) % 34.24/34.75 (define @t30 () (= @t29 @t28)) % 34.24/34.75 (define @t31 () (tptp.in @t29 @t1)) % 34.24/34.75 (define @t32 () (tptp.ordered_pair @t29 @t28)) % 34.24/34.75 (define @t33 () (tptp.in @t32 @t2)) % 34.24/34.75 (define @t34 () (@list @t29 @t28)) % 34.24/34.75 (define @t35 () (tptp.identity_relation @t1)) % 34.24/34.75 (define @t36 () (= @t2 @t35)) % 34.24/34.75 (define @t37 () (tptp.relation @t2)) % 34.24/34.75 (define @t38 () (tptp.subset @t2 @t1)) % 34.24/34.75 (define @t39 () (tptp.subset @t1 @t2)) % 34.24/34.75 (define @t40 () (= @t1 @t2)) % 34.24/34.75 (define @t41 () (@var "E" $$unsorted)) % 34.24/34.75 (define @t42 () (tptp.ordered_pair @t28 @t41)) % 34.24/34.75 (define @t43 () (tptp.in @t42 @t1)) % 34.24/34.75 (define @t44 () (tptp.in @t28 @t2)) % 34.24/34.75 (define @t45 () (tptp.in @t42 @t29)) % 34.24/34.75 (define @t46 () (@list @t28 @t41)) % 34.24/34.75 (define @t47 () (tptp.relation_dom_restriction @t1 @t2)) % 34.24/34.75 (define @t48 () (tptp.relation @t29)) % 34.24/34.75 (define @t49 () (@list @t2 @t29)) % 34.24/34.75 (define @t50 () (tptp.in @t41 @t2)) % 34.24/34.75 (define @t51 () (tptp.relation_dom @t1)) % 34.24/34.75 (define @t52 () (@list @t41)) % 34.24/34.75 (define @t53 () (tptp.in @t28 @t29)) % 34.24/34.75 (define @t54 () (@list @t28)) % 34.24/34.75 (define @t55 () (= @t29 (tptp.relation_image @t1 @t2))) % 34.24/34.75 (define @t56 () (and @t16 @t9)) % 34.24/34.75 (define @t57 () (tptp.in @t41 @t1)) % 34.24/34.75 (define @t58 () (tptp.relation_rng_restriction @t1 @t2)) % 34.24/34.75 (define @t59 () (@list @t29)) % 34.24/34.75 (define @t60 () (tptp.relation_field @t1)) % 34.24/34.75 (define @t61 () (tptp.antisymmetric @t1)) % 34.24/34.75 (define @t62 () (= @t61 (tptp.is_antisymmetric_in @t1 @t60))) % 34.24/34.75 (define @t63 () (forall @t11 (=> @t16 @t62))) % 34.24/34.75 (define @t64 () (tptp.apply @t1 @t28)) % 34.24/34.75 (define @t65 () (tptp.in @t28 @t51)) % 34.24/34.75 (define @t66 () (= @t29 (tptp.relation_inverse_image @t1 @t2))) % 34.24/34.75 (define @t67 () (tptp.transitive @t1)) % 34.24/34.75 (define @t68 () (tptp.in @t41 @t28)) % 34.24/34.75 (define @t69 () (@list @t1 @t2 @t29 @t28)) % 34.24/34.75 (define @t70 () (tptp.singleton @t1)) % 34.24/34.75 (define @t71 () (tptp.succ @t1)) % 34.24/34.75 (define @t72 () (@list @t2)) % 34.24/34.75 (define @t73 () (tptp.in @t29 @t2)) % 34.24/34.75 (define @t74 () (= @t2 tptp.empty_set)) % 34.24/34.75 (define @t75 () (= @t2 (tptp.set_meet @t1))) % 34.24/34.75 (define @t76 () (= @t1 tptp.empty_set)) % 34.24/34.75 (define @t77 () (tptp.in @t29 @t28)) % 34.24/34.75 (define @t78 () (tptp.in @t28 @t1)) % 34.24/34.75 (define @t79 () (not @t76)) % 34.24/34.75 (define @t80 () (tptp.powerset @t1)) % 34.24/34.75 (define @t81 () (tptp.in @t32 @t1)) % 34.24/34.75 (define @t82 () (tptp.empty @t2)) % 34.24/34.75 (define @t83 () (tptp.element @t2 @t1)) % 34.24/34.75 (define @t84 () (not @t10)) % 34.24/34.75 (define @t85 () (@list @t1 @t2 @t29)) % 34.24/34.75 (define @t86 () (@var "F" $$unsorted)) % 34.24/34.75 (define @t87 () (tptp.cartesian_product2 @t1 @t2)) % 34.24/34.75 (define @t88 () (not @t73)) % 34.24/34.75 (define @t89 () (= @t2 @t29)) % 34.24/34.75 (define @t90 () (tptp.in @t2 @t29)) % 34.24/34.75 (define @t91 () (forall @t59 (=> @t31 @t73))) % 34.24/34.75 (define @t92 () (tptp.apply @t1 @t2)) % 34.24/34.75 (define @t93 () (= @t29 @t92)) % 34.24/34.75 (define @t94 () (tptp.in @t2 @t51)) % 34.24/34.75 (define @t95 () (tptp.ordered_pair @t2 @t29)) % 34.24/34.75 (define @t96 () (tptp.in @t95 @t1)) % 34.24/34.75 (define @t97 () (tptp.ordered_pair @t28 @t29)) % 34.24/34.75 (define @t98 () (tptp.in @t97 @t1)) % 34.24/34.75 (define @t99 () (and @t73 @t44 @t81 @t98)) % 34.24/34.75 (define @t100 () (forall @t34 (=> @t99 @t30))) % 34.24/34.75 (define @t101 () (tptp.is_antisymmetric_in @t1 @t2)) % 34.24/34.75 (define @t102 () (= @t101 @t100)) % 34.24/34.75 (define @t103 () (forall @t72 @t102)) % 34.24/34.75 (define @t104 () (=> @t16 @t103)) % 34.24/34.75 (define @t105 () (forall @t11 @t104)) % 34.24/34.75 (define @t106 () (tptp.cast_to_subset @t1)) % 34.24/34.75 (define @t107 () (tptp.union @t1)) % 34.24/34.75 (define @t108 () (not @t44)) % 34.24/34.75 (define @t109 () (tptp.set_difference @t1 @t2)) % 34.24/34.75 (define @t110 () (and @t65 (= @t29 @t64))) % 34.24/34.75 (define @t111 () (tptp.relation_rng @t1)) % 34.24/34.75 (define @t112 () (= @t2 @t111)) % 34.24/34.75 (define @t113 () (tptp.subset_complement @t1 @t2)) % 34.24/34.75 (define @t114 () (tptp.element @t2 @t80)) % 34.24/34.75 (define @t115 () (tptp.ordered_pair @t1 @t2)) % 34.24/34.75 (define @t116 () (tptp.being_limit_ordinal @t1)) % 34.24/34.75 (define @t117 () (tptp.relation_inverse @t1)) % 34.24/34.75 (define @t118 () (tptp.disjoint @t1 @t2)) % 34.24/34.75 (define @t119 () (tptp.relation_composition @t1 @t2)) % 34.24/34.75 (define @t120 () (tptp.complements_of_subsets @t1 @t2)) % 34.24/34.75 (define @t121 () (tptp.powerset @t80)) % 34.24/34.75 (define @t122 () (tptp.element @t2 @t121)) % 34.24/34.75 (define @t123 () (not @t40)) % 34.24/34.75 (define @t124 () (tptp.function_inverse @t1)) % 34.24/34.75 (define @t125 () (tptp.reflexive @t1)) % 34.24/34.75 (define @t126 () (tptp.relation @t117)) % 34.24/34.75 (define @t127 () (tptp.relation @t119)) % 34.24/34.75 (define @t128 () (and @t16 @t37)) % 34.24/34.75 (define @t129 () (tptp.union_of_subsets @t1 @t2)) % 34.24/34.75 (define @t130 () (tptp.relation @t35)) % 34.24/34.75 (define @t131 () (tptp.meet_of_subsets @t1 @t2)) % 34.24/34.75 (define @t132 () (tptp.subset_difference @t1 @t2 @t29)) % 34.24/34.75 (define @t133 () (tptp.element @t29 @t80)) % 34.24/34.75 (define @t134 () (and @t114 @t133)) % 34.24/34.75 (define @t135 () (tptp.relation @t47)) % 34.24/34.75 (define @t136 () (tptp.relation_composition @t2 @t1)) % 34.24/34.75 (define @t137 () (and @t10 @t37)) % 34.24/34.75 (define @t138 () (tptp.relation_empty_yielding tptp.empty_set)) % 34.24/34.75 (define @t139 () (tptp.relation tptp.empty_set)) % 34.24/34.75 (define @t140 () (tptp.empty tptp.empty_set)) % 34.24/34.75 (define @t141 () (tptp.relation_empty_yielding @t1)) % 34.24/34.75 (define @t142 () (and @t16 @t141)) % 34.24/34.75 (define @t143 () (tptp.function @t2)) % 34.24/34.75 (define @t144 () (not (tptp.empty @t71))) % 34.24/34.75 (define @t145 () (not @t82)) % 34.24/34.75 (define @t146 () (tptp.empty @t51)) % 34.24/34.75 (define @t147 () (and @t84 @t16)) % 34.24/34.75 (define @t148 () (tptp.empty @t111)) % 34.24/34.75 (define @t149 () (tptp.disjoint @t70 @t2)) % 34.24/34.75 (define @t150 () (not @t5)) % 34.24/34.75 (define @t151 () (tptp.ordered_pair @t29 @t2)) % 34.24/34.75 (define @t152 () (tptp.in @t151 @t1)) % 34.24/34.75 (define @t153 () (and @t96 @t152)) % 34.24/34.75 (define @t154 () (forall @t49 (=> @t153 @t89))) % 34.24/34.75 (define @t155 () (= @t61 @t154)) % 34.24/34.75 (define @t156 () (=> @t16 @t155)) % 34.24/34.75 (define @t157 () (forall @t11 @t156)) % 34.24/34.75 (define @t158 () (not @t157)) % 34.24/34.75 (define @t159 () (tptp.singleton @t2)) % 34.24/34.75 (define @t160 () (tptp.union @t2)) % 34.24/34.75 (define @t161 () (tptp.in @t1 @t29)) % 34.24/34.75 (define @t162 () (tptp.element @t1 (tptp.powerset @t2))) % 34.24/34.75 (define @t163 () (tptp.relation_dom @t29)) % 34.24/34.75 (define @t164 () (tptp.relation_dom_restriction @t29 @t1)) % 34.24/34.75 (define @t165 () (tptp.in @t2 (tptp.relation_dom @t164))) % 34.24/34.75 (define @t166 () (and @t48 (tptp.function @t29))) % 34.24/34.75 (define @t167 () (tptp.set_difference @t2 @t29)) % 34.24/34.75 (define @t168 () (= @t1 @t29)) % 34.24/34.75 (define @t169 () (tptp.relation_rng @t29)) % 34.24/34.75 (define @t170 () (tptp.relation_rng @t58)) % 34.24/34.75 (define @t171 () (tptp.relation_rng @t2)) % 34.24/34.75 (define @t172 () (tptp.cartesian_product2 @t1 @t29)) % 34.24/34.75 (define @t173 () (tptp.subset @t29 @t2)) % 34.24/34.75 (define @t174 () (forall @t59 (not (and @t173 (not (tptp.are_equipotent @t29 @t2)) @t88)))) % 34.24/34.75 (define @t175 () (tptp.powerset @t29)) % 34.24/34.75 (define @t176 () (forall @t34 (=> (and @t73 (tptp.subset @t28 @t29)) @t44))) % 34.24/34.75 (define @t177 () (tptp.relation_dom_restriction @t29 @t2)) % 34.24/34.75 (define @t178 () (tptp.relation_image @t2 @t1)) % 34.24/34.75 (define @t179 () (tptp.relation_inverse_image @t2 @t1)) % 34.24/34.75 (define @t180 () (tptp.relation_image @t2 @t179)) % 34.24/34.75 (define @t181 () (and @t37 @t143)) % 34.24/34.75 (define @t182 () (tptp.relation_dom @t2)) % 34.24/34.75 (define @t183 () (tptp.set_intersection2 @t182 @t1)) % 34.24/34.75 (define @t184 () (tptp.subset @t1 @t171)) % 34.24/34.75 (define @t185 () (tptp.relation_rng @t119)) % 34.24/34.75 (define @t186 () (tptp.relation_inverse_image @t29 @t2)) % 34.24/34.75 (define @t187 () (tptp.set_intersection2 @t2 @t29)) % 34.24/34.75 (define @t188 () (tptp.subset @t1 @t29)) % 34.24/34.75 (define @t189 () (tptp.element @t1 @t2)) % 34.24/34.75 (define @t190 () (tptp.in @t1 @t163)) % 34.24/34.75 (define @t191 () (tptp.in @t115 @t29)) % 34.24/34.75 (define @t192 () (tptp.apply @t29 @t1)) % 34.24/34.75 (define @t193 () (tptp.relation_composition @t29 @t2)) % 34.24/34.75 (define @t194 () (tptp.in @t1 (tptp.relation_dom @t193))) % 34.24/34.75 (define @t195 () (tptp.relation_field @t29)) % 34.24/34.75 (define @t196 () (and (tptp.in @t1 @t195) (tptp.in @t2 @t195))) % 34.24/34.75 (define @t197 () (=> @t191 @t196)) % 34.24/34.75 (define @t198 () (forall @t85 (=> @t48 @t197))) % 34.24/34.75 (define @t199 () (tptp.apply @t2 @t29)) % 34.24/34.75 (define @t200 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 34.24/34.75 (define @t201 () (and @t31 @t73)) % 34.24/34.75 (define @t202 () (not @t118)) % 34.24/34.75 (define @t203 () (tptp.succ @t2)) % 34.24/34.75 (define @t204 () (= @t1 @t203)) % 34.24/34.75 (define @t205 () (tptp.subset_complement @t1 @t29)) % 34.24/34.75 (define @t206 () (tptp.disjoint @t2 @t29)) % 34.24/34.75 (define @t207 () (tptp.relation_dom @t119)) % 34.24/34.75 (define @t208 () (not @t74)) % 34.24/34.75 (define @t209 () (tptp.element @t2 @t175)) % 34.24/34.75 (define @t210 () (tptp.in @t29 @t24)) % 34.24/34.75 (define @t211 () (and (tptp.in @t29 @t111) (= @t28 @t199))) % 34.24/34.75 (define @t212 () (not @t96)) % 34.24/34.75 (define @t213 () (tptp.function_inverse @t2)) % 34.24/34.75 (define @t214 () (= @t111 tptp.empty_set)) % 34.24/34.75 (define @t215 () (= @t51 tptp.empty_set)) % 34.24/34.75 (define @t216 () (= (tptp.apply @t164 @t2) (tptp.apply @t29 @t2))) % 34.24/34.75 (define @t217 () (tptp.relation_dom_restriction @t2 @t1)) % 34.24/34.75 (define @t218 () (= @t70 (tptp.unordered_pair @t2 @t29))) % 34.24/34.75 (define @t219 () (not @t152)) % 34.24/34.75 (define @t220 () (or @t212 @t219 @t89)) % 34.24/34.75 (define @t221 () (= @t61 (forall @t49 @t220))) % 34.24/34.75 (define @t222 () (not @t16)) % 34.24/34.75 (define @t223 () (@quantifiers_skolemize (forall @t11 (or @t222 @t221)) 0)) % 34.24/34.75 (define @t224 () (forall @t49 (or (not (tptp.in @t95 @t223)) (not (tptp.in @t151 @t223)) @t89))) % 34.24/34.75 (define @t225 () (tptp.antisymmetric @t223)) % 34.24/34.75 (define @t226 () (= @t225 @t224)) % 34.24/34.75 (define @t227 () (tptp.relation @t223)) % 34.24/34.75 (define @t228 () (not @t227)) % 34.24/34.75 (define @t229 () (or @t228 @t226)) % 34.24/34.75 (define @t230 () (@list true)) % 34.24/34.75 (define @t231 () (@list @t229)) % 34.24/34.75 (define @t232 () (tptp.relation_field @t223)) % 34.24/34.75 (define @t233 () (tptp.is_antisymmetric_in @t223 @t232)) % 34.24/34.75 (define @t234 () (= @t225 @t233)) % 34.24/34.75 (define @t235 () (or @t228 @t234)) % 34.24/34.75 (define @t236 () (@list false false)) % 34.24/34.75 (define @t237 () (not @t234)) % 34.24/34.75 (define @t238 () (not @t225)) % 34.24/34.75 (define @t239 () (@quantifiers_skolemize @t224 1)) % 34.24/34.75 (define @t240 () (@quantifiers_skolemize @t224 0)) % 34.24/34.75 (define @t241 () (= @t240 @t239)) % 34.24/34.75 (define @t242 () (tptp.in (tptp.ordered_pair @t239 @t240) @t223)) % 34.24/34.75 (define @t243 () (not @t242)) % 34.24/34.75 (define @t244 () (tptp.in (tptp.ordered_pair @t240 @t239) @t223)) % 34.24/34.75 (define @t245 () (not @t244)) % 34.24/34.75 (define @t246 () (or @t245 @t243 @t241)) % 34.24/34.75 (define @t247 () (not @t246)) % 34.24/34.75 (define @t248 () (not @t224)) % 34.24/34.75 (define @t249 () (not @t98)) % 34.24/34.75 (define @t250 () (not @t81)) % 34.24/34.75 (define @t251 () (@var "BOUND_VARIABLE_9515" $$unsorted)) % 34.24/34.75 (define @t252 () (= (tptp.is_antisymmetric_in @t1 @t251) (forall @t34 (or (not (tptp.in @t29 @t251)) (not (tptp.in @t28 @t251)) @t250 @t249 @t30)))) % 34.24/34.75 (define @t253 () (or @t222 @t252)) % 34.24/34.75 (define @t254 () (@list @t251)) % 34.24/34.75 (define @t255 () (forall @t254 @t253)) % 34.24/34.75 (define @t256 () (forall @t254 @t252)) % 34.24/34.75 (define @t257 () (or @t222 @t256)) % 34.24/34.75 (define @t258 () (or @t88 @t108 @t250 @t249 @t30)) % 34.24/34.75 (define @t259 () (forall @t72 (= @t101 (forall @t34 @t258)))) % 34.24/34.75 (define @t260 () (or @t88 @t108 @t250 @t249)) % 34.24/34.75 (define @t261 () (forall @t34 (or (not (tptp.in @t29 @t232)) (not (tptp.in @t28 @t232)) (not (tptp.in @t32 @t223)) (not (tptp.in @t97 @t223)) @t30))) % 34.24/34.75 (define @t262 () (= @t233 @t261)) % 34.24/34.75 (define @t263 () (or @t228 @t262)) % 34.24/34.75 (define @t264 () (not @t262)) % 34.24/34.75 (define @t265 () (not @t233)) % 34.24/34.75 (define @t266 () (not @t191)) % 34.24/34.75 (define @t267 () (not @t48)) % 34.24/34.75 (define @t268 () (tptp.in @t239 @t232)) % 34.24/34.75 (define @t269 () (tptp.in @t240 @t232)) % 34.24/34.75 (define @t270 () (and @t269 @t268)) % 34.24/34.75 (define @t271 () (or @t228 @t245 @t270)) % 34.24/34.75 (define @t272 () (not @t270)) % 34.24/34.75 (define @t273 () (not @t268)) % 34.24/34.75 (define @t274 () (not @t269)) % 34.24/34.75 (define @t275 () (or @t274 @t273 @t245 @t243 @t241)) % 34.24/34.75 (define @t276 () (@list true false)) % 34.24/34.75 (define @t277 () (not @t261)) % 34.24/34.75 (define @t278 () (@quantifiers_skolemize @t261 1)) % 34.24/34.75 (define @t279 () (@quantifiers_skolemize @t261 0)) % 34.24/34.75 (define @t280 () (= @t279 @t278)) % 34.24/34.75 (define @t281 () (tptp.in (tptp.ordered_pair @t278 @t279) @t223)) % 34.24/34.75 (define @t282 () (not @t281)) % 34.24/34.75 (define @t283 () (tptp.in (tptp.ordered_pair @t279 @t278) @t223)) % 34.24/34.75 (define @t284 () (not @t283)) % 34.24/34.75 (define @t285 () (or (not (tptp.in @t279 @t232)) (not (tptp.in @t278 @t232)) @t284 @t282 @t280)) % 34.24/34.75 (define @t286 () (not @t285)) % 34.24/34.75 (define @t287 () (@list @t285)) % 34.24/34.75 (define @t288 () (or @t284 @t282 @t280)) % 34.24/34.75 (define @t289 () (not @t288)) % 34.24/34.75 (assume @p1 (forall @t6 (=> @t5 @t4))) % 34.24/34.75 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 34.24/34.75 (assume @p3 (forall @t11 (=> @t10 @t9))) % 34.24/34.75 (assume @p4 (forall @t11 (=> @t15 @t14))) % 34.24/34.75 (assume @p5 (forall @t11 (=> @t10 @t16))) % 34.24/34.75 (assume @p6 (forall @t11 (=> @t19 @t18))) % 34.24/34.75 (assume @p7 (forall @t11 (=> @t14 @t15))) % 34.24/34.75 (assume @p8 (forall @t11 (=> @t10 @t20))) % 34.24/34.75 (assume @p9 (forall @t6 (= @t21 (tptp.unordered_pair @t2 @t1)))) % 34.24/34.75 (assume @p10 (forall @t6 (= @t23 @t22))) % 34.24/34.75 (assume @p11 (forall @t6 (= @t24 (tptp.set_intersection2 @t2 @t1)))) % 34.24/34.75 (assume @p12 (forall @t6 (=> @t27 (or @t25 (tptp.ordinal_subset @t2 @t1))))) % 34.24/34.75 (assume @p13 (forall @t6 (=> @t37 (= @t36 (forall @t34 (= @t33 (and @t31 @t30))))))) % 34.24/34.75 (assume @p14 (forall @t6 (= @t40 (and @t39 @t38)))) % 34.24/34.75 (assume @p15 (forall @t11 (=> @t16 (forall @t49 (=> @t48 (= (= @t29 @t47) (forall @t46 (= @t45 (and @t44 @t43))))))))) % 34.24/34.75 (assume @p16 (forall @t11 (=> @t56 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in @t41 @t51) @t50 (= @t28 (tptp.apply @t1 @t41))))))))))) % 34.24/34.75 (assume @p17 (forall @t6 (=> @t37 (forall @t59 (=> @t48 (= (= @t29 @t58) (forall @t46 (= @t45 (and @t57 (tptp.in @t42 @t2)))))))))) % 34.24/34.75 (assume @p18 @t63) % 34.24/34.75 (assume @p19 (forall @t11 (=> @t56 (forall @t49 (= @t66 (forall @t54 (= @t53 (and @t65 (tptp.in @t64 @t2))))))))) % 34.24/34.75 (assume @p20 (forall @t11 (=> @t16 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in (tptp.ordered_pair @t41 @t28) @t1) @t50))))))))) % 34.24/34.75 (assume @p21 (forall @t11 (=> @t16 (forall @t49 (= @t66 (forall @t54 (= @t53 (exists @t52 (and @t43 @t50))))))))) % 34.24/34.75 (assume @p22 (forall @t11 (=> @t16 (= @t67 (tptp.is_transitive_in @t1 @t60))))) % 34.24/34.75 (assume @p23 (forall @t69 (= (= @t28 (tptp.unordered_triple @t1 @t2 @t29)) (forall @t52 (= @t68 (not (and (not (= @t41 @t1)) (not (= @t41 @t2)) (not (= @t41 @t29))))))))) % 34.24/34.75 (assume @p24 (forall @t11 (= @t71 (tptp.set_union2 @t1 @t70)))) % 34.24/34.75 (assume @p25 (forall @t11 (= @t16 (forall @t72 (not (and @t3 (forall @t34 (not (= @t2 @t32))))))))) % 34.24/34.75 (assume @p26 (forall @t11 (=> @t16 (forall @t72 (= (tptp.is_reflexive_in @t1 @t2) (forall @t59 (=> @t73 (tptp.in (tptp.ordered_pair @t29 @t29) @t1)))))))) % 34.24/34.75 (assume @p27 (forall @t6 (and (=> @t79 (= @t75 (forall @t59 (= @t73 (forall @t54 (=> @t78 @t77)))))) (=> @t76 (= @t75 @t74))))) % 34.24/34.75 (assume @p28 (forall @t6 (= (= @t2 @t70) (forall @t59 (= @t73 (= @t29 @t1)))))) % 34.24/34.75 (assume @p29 (forall @t11 (= @t76 (forall @t72 @t4)))) % 34.24/34.75 (assume @p30 (forall @t6 (= (= @t2 @t80) (forall @t59 (= @t73 (tptp.subset @t29 @t1)))))) % 34.24/34.75 (assume @p31 (forall @t11 (= @t13 (forall @t72 (=> @t3 @t38))))) % 34.24/34.75 (assume @p32 (forall @t11 (=> @t16 (forall @t72 (=> @t37 (= @t40 (forall @t34 (= @t81 @t33)))))))) % 34.24/34.75 (assume @p33 (forall @t6 (and (=> @t84 (= @t83 @t3)) (=> @t10 (= @t83 @t82))))) % 34.24/34.75 (assume @p34 (forall @t85 (= (= @t29 @t21) (forall @t54 (= @t53 (or (= @t28 @t1) (= @t28 @t2))))))) % 34.24/34.75 (assume @p35 (forall @t85 (= (= @t29 @t23) (forall @t54 (= @t53 (or @t78 @t44)))))) % 34.24/34.75 (assume @p36 (forall @t85 (= (= @t29 @t87) (forall @t54 (= @t53 (exists (@list @t41 @t86) (and @t57 (tptp.in @t86 @t2) (= @t28 (tptp.ordered_pair @t41 @t86))))))))) % 34.24/34.75 (assume @p37 (forall @t11 (= @t12 (forall @t49 (not (and @t3 @t31 (not @t90) (not @t89) @t88)))))) % 34.24/34.75 (assume @p38 (forall @t11 (=> @t16 (forall @t72 (=> @t37 (= @t39 (forall @t34 (=> @t81 @t33)))))))) % 34.24/34.75 (assume @p39 (forall @t6 (= @t39 @t91))) % 34.24/34.75 (assume @p40 (forall @t85 (= (= @t29 @t24) (forall @t54 (= @t53 (and @t78 @t44)))))) % 34.24/34.75 (assume @p41 (forall @t11 (=> @t56 (forall @t49 (and (=> @t94 (= @t93 @t96)) (=> (not @t94) (= @t93 (= @t29 tptp.empty_set)))))))) % 34.24/34.75 (assume @p42 (forall @t11 (= @t15 @t14))) % 34.24/34.75 (assume @p43 (forall @t11 (=> @t16 (forall @t72 (= (= @t2 @t51) (forall @t59 (= @t73 (exists @t54 @t81)))))))) % 34.24/34.75 (assume @p44 @t105) % 34.24/34.75 (assume @p45 (forall @t11 (= @t106 @t1))) % 34.24/34.75 (assume @p46 (forall @t6 (= (= @t2 @t107) (forall @t59 (= @t73 (exists @t54 (and @t77 @t78))))))) % 34.24/34.75 (assume @p47 (forall @t85 (= (= @t29 @t109) (forall @t54 (= @t53 (and @t78 @t108)))))) % 34.24/34.75 (assume @p48 (forall @t11 (=> @t56 (forall @t72 (= @t112 (forall @t59 (= @t73 (exists @t54 @t110)))))))) % 34.24/34.75 (assume @p49 (forall @t11 (=> @t16 (forall @t72 (= @t112 (forall @t59 (= @t73 (exists @t54 @t98)))))))) % 34.24/34.75 (assume @p50 (forall @t6 (=> @t114 (= @t113 @t109)))) % 34.24/34.75 (assume @p51 (forall @t6 (= @t115 (tptp.unordered_pair @t21 @t70)))) % 34.24/34.75 (assume @p52 (forall @t11 (= @t116 (= @t1 @t107)))) % 34.24/34.75 (assume @p53 (forall @t11 (=> @t16 (= @t60 (tptp.set_union2 @t51 @t111))))) % 34.24/34.75 (assume @p54 (forall @t11 (=> @t16 (forall @t72 (=> @t37 (= (= @t2 @t117) (forall @t34 (= @t33 @t98)))))))) % 34.24/34.75 (assume @p55 (forall @t6 (= @t118 (= @t24 tptp.empty_set)))) % 34.24/34.75 (assume @p56 (forall @t11 (=> @t56 (= @t17 (forall @t49 (=> (and @t94 (tptp.in @t29 @t51) (= @t92 (tptp.apply @t1 @t29))) @t89)))))) % 34.24/34.75 (assume @p57 (forall @t11 (=> @t16 (forall @t72 (=> @t37 (forall @t59 (=> @t48 (= (= @t29 @t119) (forall @t46 (= @t45 (exists (@list @t86) (and (tptp.in (tptp.ordered_pair @t28 @t86) @t1) (tptp.in (tptp.ordered_pair @t86 @t41) @t2))))))))))))) % 34.24/34.75 (assume @p58 (forall @t11 (=> @t16 (forall @t72 (= (tptp.is_transitive_in @t1 @t2) (forall (@list @t29 @t28 @t41) (=> (and @t73 @t44 @t50 @t81 @t43) (tptp.in (tptp.ordered_pair @t29 @t41) @t1)))))))) % 34.24/34.75 (assume @p59 (forall @t6 (=> @t122 (forall @t59 (=> (tptp.element @t29 @t121) (= (= @t29 @t120) (forall @t54 (=> (tptp.element @t28 @t80) (= @t53 (tptp.in (tptp.subset_complement @t1 @t28) @t2)))))))))) % 34.24/34.75 (assume @p60 (forall @t6 (= @t8 (and @t39 @t123)))) % 34.24/34.75 (assume @p61 (forall @t11 (=> @t56 (=> @t17 (= @t124 @t117))))) % 34.24/34.75 (assume @p62 (forall @t11 (=> @t16 (= @t125 (tptp.is_reflexive_in @t1 @t60))))) % 34.24/34.75 (assume @p63 true) % 34.24/34.75 (assume @p64 (forall @t11 (=> @t56 (and (tptp.relation @t124) (tptp.function @t124))))) % 34.24/34.75 (assume @p65 (forall @t11 (tptp.element @t106 @t80))) % 34.24/34.75 (assume @p66 (forall @t6 (=> @t114 (tptp.element @t113 @t80)))) % 34.24/34.75 (assume @p67 (forall @t11 (=> @t16 @t126))) % 34.24/34.75 (assume @p68 (forall @t6 (=> @t128 @t127))) % 34.24/34.75 (assume @p69 (forall @t6 (=> @t122 (tptp.element @t129 @t80)))) % 34.24/34.75 (assume @p70 (forall @t11 @t130)) % 34.24/34.75 (assume @p71 (forall @t6 (=> @t122 (tptp.element @t131 @t80)))) % 34.24/34.75 (assume @p72 (forall @t85 (=> @t134 (tptp.element @t132 @t80)))) % 34.24/34.75 (assume @p73 (forall @t6 (=> @t16 @t135))) % 34.24/34.75 (assume @p74 (forall @t6 (=> @t122 (tptp.element @t120 @t121)))) % 34.24/34.75 (assume @p75 (forall @t6 (=> @t37 (tptp.relation @t58)))) % 34.24/34.75 (assume @p76 (forall @t11 (exists @t72 @t83))) % 34.24/34.75 (assume @p77 (forall @t6 (=> @t137 (and (tptp.empty @t136) (tptp.relation @t136))))) % 34.24/34.75 (assume @p78 (forall @t11 (=> @t10 (and (tptp.empty @t117) @t126)))) % 34.24/34.75 (assume @p79 (and @t140 @t139 @t138)) % 34.24/34.75 (assume @p80 (forall @t6 (=> @t142 (and @t135 (tptp.relation_empty_yielding @t47))))) % 34.24/34.75 (assume @p81 (forall @t6 (=> (and @t16 @t9 @t37 @t143) (and @t127 (tptp.function @t119))))) % 34.24/34.75 (assume @p82 (forall @t11 @t144)) % 34.24/34.75 (assume @p83 (forall @t6 (=> @t128 (tptp.relation @t24)))) % 34.24/34.75 (assume @p84 (forall @t11 (not (tptp.empty @t80)))) % 34.24/34.75 (assume @p85 @t140) % 34.24/34.75 (assume @p86 (forall @t6 (not (tptp.empty @t115)))) % 34.24/34.75 (assume @p87 (forall @t11 (and @t130 (tptp.function @t35)))) % 34.24/34.75 (assume @p88 (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))) % 34.24/34.75 (assume @p89 (forall @t6 (=> @t128 (tptp.relation @t23)))) % 34.24/34.75 (assume @p90 (forall @t11 (not (tptp.empty @t70)))) % 34.24/34.75 (assume @p91 (forall @t6 (=> @t84 (not (tptp.empty @t23))))) % 34.24/34.75 (assume @p92 (forall @t11 (=> @t18 (and @t126 (tptp.function @t117))))) % 34.24/34.75 (assume @p93 (forall @t11 (=> @t15 (and @t144 (tptp.epsilon_transitive @t71) (tptp.epsilon_connected @t71) (tptp.ordinal @t71))))) % 34.24/34.75 (assume @p94 (forall @t6 (=> @t128 (tptp.relation @t109)))) % 34.24/34.75 (assume @p95 (forall @t6 (not (tptp.empty @t21)))) % 34.24/34.75 (assume @p96 (forall @t6 (=> @t84 (not (tptp.empty @t22))))) % 34.24/34.75 (assume @p97 (forall @t6 (=> @t56 (and @t135 (tptp.function @t47))))) % 34.24/34.75 (assume @p98 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t107) (tptp.epsilon_connected @t107) (tptp.ordinal @t107))))) % 34.24/34.75 (assume @p99 (and @t140 @t139)) % 34.24/34.75 (assume @p100 (forall @t6 (=> (and @t84 @t145) (not (tptp.empty @t87))))) % 34.24/34.75 (assume @p101 (forall @t11 (=> @t147 (not @t146)))) % 34.24/34.75 (assume @p102 (forall @t11 (=> @t147 (not @t148)))) % 34.24/34.75 (assume @p103 (forall @t11 (=> @t10 (and @t146 (tptp.relation @t51))))) % 34.24/34.75 (assume @p104 (forall @t11 (=> @t10 (and @t148 (tptp.relation @t111))))) % 34.24/34.75 (assume @p105 (forall @t6 (=> @t137 (and (tptp.empty @t119) @t127)))) % 34.24/34.75 (assume @p106 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 34.24/34.75 (assume @p107 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 34.24/34.75 (assume @p108 (forall @t6 (=> @t114 (= (tptp.subset_complement @t1 @t113) @t2)))) % 34.24/34.75 (assume @p109 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t117) @t1)))) % 34.24/34.75 (assume @p110 (forall @t6 (=> @t122 (= (tptp.complements_of_subsets @t1 @t120) @t2)))) % 34.24/34.75 (assume @p111 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 34.24/34.75 (assume @p112 (forall @t11 (=> @t16 (= @t125 (forall @t72 (=> (tptp.in @t2 @t60) (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 34.24/34.75 (assume @p113 (forall @t11 (not (= @t70 tptp.empty_set)))) % 34.24/34.75 (assume @p114 (forall @t6 (=> @t5 (= (tptp.set_union2 @t70 @t2) @t2)))) % 34.24/34.75 (assume @p115 (forall @t6 (not (and @t149 @t5)))) % 34.24/34.75 (assume @p116 (forall @t6 (=> @t150 @t149))) % 34.24/34.75 (assume @p117 (forall @t11 (=> @t16 (= @t67 (forall (@list @t2 @t29 @t28) (=> (and @t96 @t81) (tptp.in (tptp.ordered_pair @t2 @t28) @t1))))))) % 34.24/34.75 (assume @p118 (forall @t6 (= (tptp.subset @t70 @t2) @t5))) % 34.24/34.75 (assume @p119 (forall @t6 (= (= @t109 tptp.empty_set) @t39))) % 34.24/34.75 (assume @p120 (forall @t6 (=> @t114 (forall @t59 (=> @t73 @t31))))) % 34.24/34.75 (assume @p121 @t158) % 34.24/34.75 (assume @p122 (forall @t85 (=> @t39 (or @t31 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t29))))))) % 34.24/34.75 (assume @p123 (forall @t6 (= (tptp.subset @t1 @t159) (or @t76 (= @t1 @t159))))) % 34.24/34.75 (assume @p124 (forall @t6 (=> @t5 (tptp.subset @t1 @t160)))) % 34.24/34.75 (assume @p125 (forall @t69 (= (tptp.in @t115 (tptp.cartesian_product2 @t29 @t28)) (and @t161 (tptp.in @t2 @t28))))) % 34.24/34.75 (assume @p126 (forall @t6 (=> @t91 @t162))) % 34.24/34.75 (assume @p127 (forall @t85 (=> @t166 (= @t165 (and (tptp.in @t2 @t163) @t3))))) % 34.24/34.75 (assume @p128 (exists @t11 @t56)) % 34.24/34.75 (assume @p129 (exists @t11 @t20)) % 34.24/34.75 (assume @p130 (exists @t11 (and @t10 @t16))) % 34.24/34.75 (assume @p131 (forall @t11 (=> @t84 (exists @t72 (and @t114 @t145))))) % 34.24/34.75 (assume @p132 (exists @t11 @t10)) % 34.24/34.75 (assume @p133 (exists @t11 @t19)) % 34.24/34.75 (assume @p134 (exists @t11 (and @t16 @t9 @t17 @t10 @t13 @t12 @t15))) % 34.24/34.75 (assume @p135 (exists @t11 @t147)) % 34.24/34.75 (assume @p136 (forall @t11 (exists @t72 (and @t114 @t82)))) % 34.24/34.75 (assume @p137 (exists @t11 @t84)) % 34.24/34.75 (assume @p138 (exists @t11 @t18)) % 34.24/34.75 (assume @p139 (exists @t11 (and @t84 @t13 @t12 @t15))) % 34.24/34.75 (assume @p140 (exists @t11 @t142)) % 34.24/34.75 (assume @p141 (exists @t11 (and @t16 @t141 @t9))) % 34.24/34.75 (assume @p142 (forall @t6 (=> @t122 (= @t129 @t160)))) % 34.24/34.75 (assume @p143 (forall @t6 (=> @t122 (= @t131 (tptp.set_meet @t2))))) % 34.24/34.75 (assume @p144 (forall @t85 (=> @t134 (= @t132 @t167)))) % 34.24/34.75 (assume @p145 (forall @t6 (=> @t27 (= @t25 @t39)))) % 34.24/34.75 (assume @p146 (forall @t6 (=> @t27 (tptp.ordinal_subset @t1 @t1)))) % 34.24/34.75 (assume @p147 (forall @t6 (tptp.subset @t1 @t1))) % 34.24/34.75 (assume @p148 (forall @t6 (=> @t118 (tptp.disjoint @t2 @t1)))) % 34.24/34.75 (assume @p149 (forall @t11 (tptp.in @t1 @t71))) % 34.24/34.75 (assume @p150 (forall @t69 (not (and (= @t21 (tptp.unordered_pair @t29 @t28)) (not @t168) (not (= @t1 @t28)))))) % 34.24/34.75 (assume @p151 (forall @t85 (=> @t48 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t29))) (and @t5 (tptp.in @t1 @t169)))))) % 34.24/34.75 (assume @p152 (forall @t6 (=> @t37 (tptp.subset @t170 @t1)))) % 34.24/34.75 (assume @p153 (forall @t6 (=> @t37 (tptp.subset @t58 @t2)))) % 34.24/34.75 (assume @p154 (forall @t6 (=> @t37 (tptp.subset @t170 @t171)))) % 34.24/34.75 (assume @p155 (forall @t85 (=> @t39 (and (tptp.subset @t172 (tptp.cartesian_product2 @t2 @t29)) (tptp.subset (tptp.cartesian_product2 @t29 @t1) (tptp.cartesian_product2 @t29 @t2)))))) % 34.24/34.75 (assume @p156 (forall @t6 (=> @t37 (= @t170 (tptp.set_intersection2 @t171 @t1))))) % 34.24/34.75 (assume @p157 (forall @t69 (=> (and @t39 (tptp.subset @t29 @t28)) (tptp.subset @t172 (tptp.cartesian_product2 @t2 @t28))))) % 34.24/34.75 (assume @p158 (forall @t6 (=> @t39 (= @t23 @t2)))) % 34.24/34.75 (assume @p159 (forall @t11 (exists @t72 (and @t5 @t176 (forall @t59 (=> @t73 (tptp.in @t175 @t2))) @t174)))) % 34.24/34.75 (assume @p160 (forall @t85 (=> @t48 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t29) @t2) (tptp.relation_rng_restriction @t1 @t177))))) % 34.24/34.75 (assume @p161 (forall @t85 (=> @t48 (= (tptp.in @t1 (tptp.relation_image @t29 @t2)) (exists @t54 (and (tptp.in @t28 @t163) (tptp.in (tptp.ordered_pair @t28 @t1) @t29) @t44)))))) % 34.24/34.75 (assume @p162 (forall @t6 (=> @t37 (tptp.subset @t178 @t171)))) % 34.24/34.75 (assume @p163 (forall @t6 (=> @t181 (tptp.subset @t180 @t1)))) % 34.24/34.75 (assume @p164 (forall @t6 (=> @t37 (= @t178 (tptp.relation_image @t2 @t183))))) % 34.24/34.75 (assume @p165 (forall @t6 (=> @t37 (=> (tptp.subset @t1 @t182) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t178)))))) % 34.24/34.75 (assume @p166 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t51) @t111)))) % 34.24/34.75 (assume @p167 (forall @t6 (=> @t181 (=> @t184 (= @t180 @t1))))) % 34.24/34.75 (assume @p168 (forall @t11 (=> @t16 (forall @t72 (=> @t37 (= @t185 (tptp.relation_image @t2 @t111))))))) % 34.24/34.75 (assume @p169 (forall @t85 (=> @t48 (= (tptp.in @t1 @t186) (exists @t54 (and (tptp.in @t28 @t169) (tptp.in (tptp.ordered_pair @t1 @t28) @t29) @t44)))))) % 34.24/34.75 (assume @p170 (forall @t6 (=> @t37 (tptp.subset @t179 @t182)))) % 34.24/34.75 (assume @p171 (forall @t6 (=> @t37 (not (and @t79 @t184 (= @t179 tptp.empty_set)))))) % 34.24/34.75 (assume @p172 (forall @t85 (=> @t48 (=> @t39 (tptp.subset (tptp.relation_inverse_image @t29 @t1) @t186))))) % 34.24/34.75 (assume @p173 (forall @t6 (tptp.subset @t24 @t1))) % 34.24/34.75 (assume @p174 (forall @t85 (=> (and @t39 @t188) (tptp.subset @t1 @t187)))) % 34.24/34.75 (assume @p175 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 34.24/34.75 (assume @p176 (forall @t6 (=> @t5 @t189))) % 34.24/34.75 (assume @p177 (forall @t85 (=> (and @t39 (tptp.subset @t2 @t29)) @t188))) % 34.24/34.75 (assume @p178 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 34.24/34.75 (assume @p179 (forall @t85 (=> @t48 (=> @t191 (and @t190 (tptp.in @t2 @t169)))))) % 34.24/34.75 (assume @p180 (forall @t6 (=> @t181 (forall @t59 (=> @t166 (= @t194 (and @t190 (tptp.in @t192 @t182)))))))) % 34.24/34.75 (assume @p181 (forall @t11 (=> @t13 (forall @t72 (=> @t26 (=> @t8 @t5)))))) % 34.24/34.75 (assume @p182 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t51 @t111))))) % 34.24/34.75 (assume @p183 (forall @t6 (=> @t181 (forall @t59 (=> @t166 (=> @t194 (= (tptp.apply @t193 @t1) (tptp.apply @t2 @t192)))))))) % 34.24/34.75 (assume @p184 (forall @t6 (=> @t181 (forall @t59 (=> @t166 (=> (tptp.in @t1 @t182) (= (tptp.apply (tptp.relation_composition @t2 @t29) @t1) (tptp.apply @t29 (tptp.apply @t2 @t1))))))))) % 34.24/34.75 (assume @p185 (forall @t6 (=> @t26 (=> @t5 @t15)))) % 34.24/34.75 (assume @p186 (forall @t11 (=> @t15 (forall @t72 (=> @t26 (not (and @t150 @t123 @t4))))))) % 34.24/34.75 (assume @p187 (forall @t11 (=> @t16 (forall @t72 (=> @t37 (=> @t39 (and (tptp.subset @t51 @t182) (tptp.subset @t111 @t171)))))))) % 34.24/34.75 (assume @p188 (forall @t85 (=> @t39 (tptp.subset (tptp.set_intersection2 @t1 @t29) @t187)))) % 34.24/34.75 (assume @p189 (forall @t6 (=> @t39 (= @t24 @t1)))) % 34.24/34.75 (assume @p190 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 34.24/34.75 (assume @p191 (forall @t6 (=> @t189 (or @t82 @t5)))) % 34.24/34.75 (assume @p192 (forall @t6 (=> (forall @t59 (= @t31 @t73)) @t40))) % 34.24/34.75 (assume @p193 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 34.24/34.75 (assume @p194 @t198) % 34.24/34.75 (assume @p195 (forall @t11 (=> (forall @t72 (=> @t3 (and @t26 @t38))) @t15))) % 34.24/34.75 (assume @p196 (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))))))))))))) % 34.24/34.75 (assume @p197 (forall @t11 (=> @t15 (forall @t72 (=> @t26 (= @t5 (tptp.ordinal_subset @t71 @t2))))))) % 34.24/34.75 (assume @p198 (forall @t85 (=> @t39 (tptp.subset (tptp.set_difference @t1 @t29) @t167)))) % 34.24/34.75 (assume @p199 (forall @t69 (=> (= @t115 @t32) (and @t168 (= @t2 @t28))))) % 34.24/34.75 (assume @p200 (forall @t6 (=> @t181 (= @t36 (and (= @t182 @t1) (forall @t59 (=> @t31 (= @t199 @t29)))))))) % 34.24/34.75 (assume @p201 (forall @t6 (=> @t3 (= (tptp.apply @t35 @t2) @t2)))) % 34.24/34.75 (assume @p202 (forall @t6 (tptp.subset @t109 @t1))) % 34.24/34.75 (assume @p203 (forall @t11 (=> @t16 (and (= @t111 (tptp.relation_dom @t117)) (= @t51 (tptp.relation_rng @t117)))))) % 34.24/34.75 (assume @p204 (forall @t85 (= (tptp.subset @t21 @t29) (and @t161 @t90)))) % 34.24/34.75 (assume @p205 (forall @t6 (= @t200 @t23))) % 34.24/34.75 (assume @p206 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 34.24/34.75 (assume @p207 (forall @t85 (not (and @t5 @t90 @t31)))) % 34.24/34.75 (assume @p208 (forall @t6 (= @t162 @t39))) % 34.24/34.75 (assume @p209 (forall @t6 (and (not (and @t202 (forall @t59 (not @t201)))) (not (and (exists @t59 @t201) @t118))))) % 34.24/34.75 (assume @p210 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t76))) % 34.24/34.75 (assume @p211 (forall @t6 (= (tptp.set_difference @t23 @t2) @t109))) % 34.24/34.75 (assume @p212 (forall @t11 (=> @t15 (= @t116 (forall @t72 (=> @t26 (=> @t3 (tptp.in @t203 @t1)))))))) % 34.24/34.75 (assume @p213 (forall @t11 (=> @t15 (and (not (and (not @t116) (forall @t72 (=> @t26 (not @t204))))) (not (and (exists @t72 (and @t26 @t204)) @t116)))))) % 34.24/34.75 (assume @p214 (forall @t6 (=> @t114 (forall @t59 (=> @t133 (= @t206 (tptp.subset @t2 @t205))))))) % 34.24/34.75 (assume @p215 (forall @t11 (=> @t16 (forall @t72 (=> @t37 (tptp.subset @t207 @t51)))))) % 34.24/34.75 (assume @p216 (forall @t11 (=> @t16 (forall @t72 (=> @t37 (tptp.subset @t185 @t171)))))) % 34.24/34.75 (assume @p217 (forall @t6 (=> @t39 (= @t2 @t200)))) % 34.24/34.75 (assume @p218 (forall @t11 (=> @t16 (forall @t72 (=> @t37 (=> (tptp.subset @t111 @t182) (= @t207 @t51))))))) % 34.24/34.75 (assume @p219 (forall @t6 (=> @t122 (not (and @t208 (= @t120 tptp.empty_set)))))) % 34.24/34.75 (assume @p220 (forall @t11 (=> @t16 (forall @t72 (=> @t37 (=> (tptp.subset @t51 @t171) (= (tptp.relation_rng @t136) @t111))))))) % 34.24/34.75 (assume @p221 (forall @t6 (=> @t122 (=> @t208 (= (tptp.subset_difference @t1 @t106 @t129) (tptp.meet_of_subsets @t1 @t120)))))) % 34.24/34.75 (assume @p222 (forall @t6 (=> @t122 (=> @t208 (= (tptp.union_of_subsets @t1 @t120) (tptp.subset_difference @t1 @t106 @t131)))))) % 34.24/34.75 (assume @p223 (forall @t6 (= (tptp.set_difference @t1 @t109) @t24))) % 34.24/34.75 (assume @p224 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 34.24/34.75 (assume @p225 (forall @t85 (=> (and @t5 @t209) (tptp.element @t1 @t29)))) % 34.24/34.75 (assume @p226 (forall @t6 (and (not (and @t202 (forall @t59 (not @t210)))) (not (and (exists @t59 @t210) @t118))))) % 34.24/34.75 (assume @p227 (forall @t11 (=> @t79 (forall @t72 (=> @t114 (forall @t59 (=> (tptp.element @t29 @t1) (=> @t88 (tptp.in @t29 @t113))))))))) % 34.24/34.75 (assume @p228 (forall @t11 (=> @t56 (=> @t17 (forall @t72 (=> @t181 (= (= @t2 @t124) (and (= @t182 @t111) (forall @t34 (and (=> @t211 @t110) (=> @t110 @t211))))))))))) % 34.24/34.75 (assume @p229 (forall @t85 (=> @t133 (not (and (tptp.in @t2 @t205) @t90))))) % 34.24/34.75 (assume @p230 (forall @t11 (=> @t56 (=> @t17 (and (= @t111 (tptp.relation_dom @t124)) (= @t51 (tptp.relation_rng @t124))))))) % 34.24/34.75 (assume @p231 (forall @t11 (=> @t16 (=> (forall @t49 @t212) @t76)))) % 34.24/34.75 (assume @p232 (forall @t6 (=> @t181 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t171)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t213 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t213 @t2) @t1))))))) % 34.24/34.75 (assume @p233 (forall @t85 (not (and @t5 @t209 (tptp.empty @t29))))) % 34.24/34.75 (assume @p234 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 34.24/34.75 (assume @p235 (forall @t6 (not (and @t39 @t7)))) % 34.24/34.75 (assume @p236 (forall @t11 (=> @t56 (=> @t17 (tptp.one_to_one @t124))))) % 34.24/34.75 (assume @p237 (forall @t85 (=> (and @t39 @t206) (tptp.disjoint @t1 @t29)))) % 34.24/34.75 (assume @p238 (forall @t11 (=> @t16 (=> (or @t215 @t214) @t76)))) % 34.24/34.75 (assume @p239 (forall @t11 (=> @t16 (= @t215 @t214)))) % 34.24/34.75 (assume @p240 (forall @t6 (= (= (tptp.set_difference @t1 @t159) @t1) @t4))) % 34.24/34.75 (assume @p241 (forall @t6 (=> @t181 (forall @t59 (=> @t166 (= (= @t2 @t164) (and (= @t182 (tptp.set_intersection2 @t163 @t1)) (forall @t54 (=> (tptp.in @t28 @t182) (= (tptp.apply @t2 @t28) (tptp.apply @t29 @t28))))))))))) % 34.24/34.75 (assume @p242 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t70))) % 34.24/34.75 (assume @p243 (forall @t11 (=> @t10 @t76))) % 34.24/34.75 (assume @p244 (forall @t6 (=> (tptp.subset @t70 @t159) @t40))) % 34.24/34.75 (assume @p245 (forall @t85 (=> @t166 (=> @t165 @t216)))) % 34.24/34.75 (assume @p246 (forall @t11 (and (= (tptp.relation_dom @t35) @t1) (= (tptp.relation_rng @t35) @t1)))) % 34.24/34.75 (assume @p247 (forall @t85 (=> @t166 (=> @t3 @t216)))) % 34.24/34.75 (assume @p248 (forall @t69 (=> (tptp.relation @t28) (= (tptp.in @t115 (tptp.relation_composition (tptp.identity_relation @t29) @t28)) (and @t161 (tptp.in @t115 @t28)))))) % 34.24/34.75 (assume @p249 (forall @t6 (not (and @t5 @t82)))) % 34.24/34.75 (assume @p250 (forall @t6 (not (and @t5 (forall @t59 (not (and @t73 (forall @t54 (not (and @t44 @t53)))))))))) % 34.24/34.75 (assume @p251 (forall @t6 (tptp.subset @t1 @t23))) % 34.24/34.75 (assume @p252 (forall @t6 (= @t118 (= @t109 @t1)))) % 34.24/34.75 (assume @p253 (forall @t85 (=> @t48 (= (tptp.in @t1 (tptp.relation_dom @t177)) (and @t5 @t190))))) % 34.24/34.75 (assume @p254 (forall @t6 (=> @t37 (tptp.subset @t217 @t2)))) % 34.24/34.75 (assume @p255 (forall @t6 (not (and @t10 @t123 @t82)))) % 34.24/34.75 (assume @p256 (forall @t85 (=> @t166 (= @t191 (and @t190 (= @t2 @t192)))))) % 34.24/34.75 (assume @p257 (forall @t85 (=> (and @t39 @t173) (tptp.subset (tptp.set_union2 @t1 @t29) @t2)))) % 34.24/34.75 (assume @p258 (forall @t85 (=> @t218 @t40))) % 34.24/34.75 (assume @p259 (forall @t6 (=> @t37 (= (tptp.relation_dom @t217) @t183)))) % 34.24/34.75 (assume @p260 (forall @t6 (=> @t37 (= @t217 (tptp.relation_composition @t35 @t2))))) % 34.24/34.75 (assume @p261 (forall @t6 (=> @t37 (tptp.subset (tptp.relation_rng @t217) @t171)))) % 34.24/34.75 (assume @p262 (forall @t11 (= (tptp.union @t80) @t1))) % 34.24/34.75 (assume @p263 (forall @t11 (exists @t72 (and @t5 @t176 (forall @t59 (not (and @t73 (forall @t54 (not (and @t44 (forall @t52 (=> (tptp.subset @t41 @t29) @t68)))))))) @t174)))) % 34.24/34.75 (assume @p264 (forall @t85 (=> @t218 @t89))) % 34.24/34.75 (step @p265 :rule bool-impl-elim :args (@t16 @t221)) % 34.24/34.75 (step @p266 :rule cong :premises (@p265) :args ((forall @t11 (=> @t16 @t221)))) % 34.24/34.75 (step @p267 :rule aci_norm :args ((= (or (or @t212 @t219) @t89) @t220))) % 34.24/34.75 (step @p268 :rule refl :args (@t89)) % 34.24/34.75 (step @p269 :rule bool-and-de-morgan :args (@t96 @t152 true)) % 34.24/34.75 (step @p270 :rule nary_cong :premises (@p269 @p268) :args ((or (not @t153) @t89))) % 34.24/34.75 (step @p271 :rule trans :premises (@p270 @p267)) % 34.24/34.75 (step @p272 :rule bool-impl-elim :args (@t153 @t89)) % 34.24/34.75 (step @p273 :rule trans :premises (@p272 @p271)) % 34.24/34.75 (step @p274 :rule cong :premises (@p273) :args (@t154)) % 34.24/34.75 (step @p275 :rule refl :args (@t61)) % 34.24/34.75 (step @p276 :rule cong :premises (@p275 @p274) :args (@t155)) % 34.24/34.75 (step @p277 :rule refl :args (@t16)) % 34.24/34.75 (step @p278 :rule cong :premises (@p277 @p276) :args (@t156)) % 34.24/34.75 (step @p279 :rule cong :premises (@p278) :args (@t157)) % 34.24/34.75 (step @p280 :rule trans :premises (@p279 @p266)) % 34.24/34.75 (step @p281 :rule cong :premises (@p280) :args (@t158)) % 34.24/34.75 (step @p282 :rule eq_resolve :premises (@p121 @p281)) % 34.24/34.75 (step @p283 :rule skolemize :premises (@p282)) % 34.24/34.75 (step @p284 :rule cnf_or_neg :args (@t229 1)) % 34.24/34.75 (step @p285 :rule chain_m_resolution :premises (@p284 @p283) :args ((not @t226) @t230 @t231)) % 34.24/34.75 (step @p286 :rule cnf_equiv_neg2 :args (@t226)) % 34.24/34.75 (step @p287 :rule bool-impl-elim :args (@t16 @t62)) % 34.24/34.75 (step @p288 :rule cong :premises (@p287) :args (@t63)) % 34.24/34.75 (step @p289 :rule eq_resolve :premises (@p18 @p288)) % 34.24/34.75 (step @p290 :rule instantiate :premises (@p289) :args ((@list @t223))) % 34.24/34.75 (step @p291 :rule bool-double-not-elim :args (@t227)) % 34.24/34.75 (step @p292 :rule refl :args (@t229)) % 34.24/34.75 (step @p293 :rule nary_cong :premises (@p292 @p291) :args ((or @t229 (not @t228)))) % 34.24/34.75 (step @p294 :rule cnf_or_neg :args (@t229 0)) % 34.24/34.75 (step @p295 :rule eq_resolve :premises (@p294 @p293)) % 34.24/34.75 (step @p296 :rule reordering :premises (@p295) :args ((or @t227 @t229))) % 34.24/34.75 (step @p297 :rule chain_m_resolution :premises (@p296 @p283) :args (@t227 @t230 @t231)) % 34.24/34.75 (step @p298 :rule cnf_or_pos :args (@t235)) % 34.24/34.75 (step @p299 :rule reordering :premises (@p298) :args ((or @t228 @t234 (not @t235)))) % 34.24/34.75 (step @p300 :rule chain_m_resolution :premises (@p299 @p297 @p290) :args (@t234 @t236 (@list @t227 @t235))) % 34.24/34.75 (step @p301 :rule cnf_equiv_pos1 :args (@t234)) % 34.24/34.75 (step @p302 :rule reordering :premises (@p301) :args ((or @t238 @t233 @t237))) % 34.24/34.75 (step @p303 :rule refl :args (@t247)) % 34.24/34.75 (step @p304 :rule bool-double-not-elim :args (@t224)) % 34.24/34.75 (step @p305 :rule nary_cong :premises (@p304 @p303) :args ((or (not @t248) @t247))) % 34.24/34.75 (assume-push @p434 @t248) % 34.24/34.75 (step @p307 :rule skolemize :premises (@p434)) % 34.24/34.75 (step-pop @p435 :rule scope :premises (@p307)) % 34.24/34.75 (step @p308 :rule process_scope :premises (@p435) :args (@t247)) % 34.24/34.75 (step @p310 :rule implies_elim :premises (@p308)) % 34.24/34.75 (step @p311 :rule eq_resolve :premises (@p310 @p305)) % 34.24/34.75 (step @p312 :rule quant-merge-prenex :args ((= (forall @t11 @t255) (forall (@list @t1 @t251) @t253)))) % 34.24/34.75 (step @p313 :rule alpha_equiv :args (@t256 (@list @t251) (@list @t2))) % 34.24/34.75 (step @p314 :rule refl :args (@t222)) % 34.24/34.75 (step @p315 :rule nary_cong :premises (@p314 @p313) :args (@t257)) % 34.24/34.75 (step @p316 :rule quant-miniscope-or :args ((= @t255 @t257))) % 34.24/34.75 (step @p317 :rule trans :premises (@p316 @p315)) % 34.24/34.75 (step @p318 :rule symm :premises (@p317)) % 34.24/34.75 (step @p319 :rule cong :premises (@p318) :args ((forall @t11 (or @t222 @t259)))) % 34.24/34.75 (step @p320 :rule trans :premises (@p319 @p312)) % 34.24/34.75 (step @p321 :rule bool-impl-elim :args (@t16 @t259)) % 34.24/34.75 (step @p322 :rule cong :premises (@p321) :args ((forall @t11 (=> @t16 @t259)))) % 34.24/34.75 (step @p323 :rule trans :premises (@p322 @p320)) % 34.24/34.75 (step @p324 :rule aci_norm :args ((= (or @t260 @t30) @t258))) % 34.24/34.75 (step @p325 :rule refl :args (@t30)) % 34.24/34.75 (step @p326 :rule aci_norm :args ((= (or @t88 (or @t108 (or @t250 @t249))) @t260))) % 34.24/34.75 (step @p327 :rule bool-and-de-morgan :args (@t81 @t98 true)) % 34.24/34.75 (step @p328 :rule refl :args (@t108)) % 34.24/34.75 (step @p329 :rule nary_cong :premises (@p328 @p327) :args ((or @t108 (not (and @t81 @t98))))) % 34.24/34.75 (step @p330 :rule bool-and-de-morgan :args (@t44 @t81 (and @t98))) % 34.24/34.75 (step @p331 :rule trans :premises (@p330 @p329)) % 34.24/34.75 (step @p332 :rule refl :args (@t88)) % 34.24/34.75 (step @p333 :rule nary_cong :premises (@p332 @p331) :args ((or @t88 (not (and @t44 @t81 @t98))))) % 34.24/34.75 (step @p334 :rule bool-and-de-morgan :args (@t73 @t44 (and @t81 @t98))) % 34.24/34.75 (step @p335 :rule trans :premises (@p334 @p333)) % 34.24/34.75 (step @p336 :rule trans :premises (@p335 @p326)) % 34.24/34.75 (step @p337 :rule nary_cong :premises (@p336 @p325) :args ((or (not @t99) @t30))) % 34.24/34.75 (step @p338 :rule trans :premises (@p337 @p324)) % 34.24/34.75 (step @p339 :rule bool-impl-elim :args (@t99 @t30)) % 34.24/34.75 (step @p340 :rule trans :premises (@p339 @p338)) % 34.24/34.75 (step @p341 :rule cong :premises (@p340) :args (@t100)) % 34.24/34.75 (step @p342 :rule refl :args (@t101)) % 34.24/34.75 (step @p343 :rule cong :premises (@p342 @p341) :args (@t102)) % 34.24/34.75 (step @p344 :rule cong :premises (@p343) :args (@t103)) % 34.24/34.75 (step @p345 :rule cong :premises (@p277 @p344) :args (@t104)) % 34.24/34.75 (step @p346 :rule cong :premises (@p345) :args (@t105)) % 34.24/34.75 (step @p347 :rule trans :premises (@p346 @p323)) % 34.24/34.75 (step @p348 :rule eq_resolve :premises (@p44 @p347)) % 34.24/34.75 (step @p349 :rule instantiate :premises (@p348) :args ((@list @t223 @t232))) % 34.24/34.75 (step @p350 :rule cnf_or_pos :args (@t263)) % 34.24/34.75 (step @p351 :rule reordering :premises (@p350) :args ((or @t228 @t262 (not @t263)))) % 34.24/34.75 (step @p352 :rule chain_m_resolution :premises (@p351 @p297 @p349) :args (@t262 @t236 (@list @t227 @t263))) % 34.24/34.75 (step @p353 :rule cnf_equiv_pos1 :args (@t262)) % 34.24/34.75 (step @p354 :rule reordering :premises (@p353) :args ((or @t265 @t261 @t264))) % 34.24/34.75 (step @p355 :rule bool-double-not-elim :args (@t244)) % 34.24/34.75 (step @p356 :rule refl :args (@t246)) % 34.24/34.75 (step @p357 :rule nary_cong :premises (@p356 @p355) :args ((or @t246 (not @t245)))) % 34.24/34.75 (step @p358 :rule cnf_or_neg :args (@t246 0)) % 34.24/34.75 (step @p359 :rule eq_resolve :premises (@p358 @p357)) % 34.24/34.75 (step @p360 :rule reordering :premises (@p359) :args ((or @t244 @t246))) % 34.24/34.75 (step @p361 :rule bool-double-not-elim :args (@t242)) % 34.24/34.75 (step @p362 :rule nary_cong :premises (@p356 @p361) :args ((or @t246 (not @t243)))) % 34.24/34.75 (step @p363 :rule cnf_or_neg :args (@t246 1)) % 34.24/34.75 (step @p364 :rule eq_resolve :premises (@p363 @p362)) % 34.24/34.75 (step @p365 :rule reordering :premises (@p364) :args ((or @t242 @t246))) % 34.24/34.75 (step @p366 :rule cnf_or_neg :args (@t246 2)) % 34.24/34.75 (step @p367 :rule aci_norm :args ((= (or @t267 (or @t266 @t196)) (or @t267 @t266 @t196)))) % 34.24/34.75 (step @p368 :rule bool-impl-elim :args (@t191 @t196)) % 34.24/34.75 (step @p369 :rule refl :args (@t267)) % 34.24/34.75 (step @p370 :rule nary_cong :premises (@p369 @p368) :args ((or @t267 @t197))) % 34.24/34.75 (step @p371 :rule trans :premises (@p370 @p367)) % 34.24/34.75 (step @p372 :rule bool-impl-elim :args (@t48 @t197)) % 34.24/34.75 (step @p373 :rule trans :premises (@p372 @p371)) % 34.24/34.75 (step @p374 :rule cong :premises (@p373) :args (@t198)) % 34.24/34.75 (step @p375 :rule eq_resolve :premises (@p194 @p374)) % 34.24/34.75 (step @p376 :rule instantiate :premises (@p375) :args ((@list @t240 @t239 @t223))) % 34.24/34.75 (step @p377 :rule cnf_or_pos :args (@t271)) % 34.24/34.75 (step @p378 :rule reordering :premises (@p377) :args ((or @t228 @t245 @t270 (not @t271)))) % 34.24/34.75 (step @p379 :rule cnf_and_pos :args (@t270 0)) % 34.24/34.75 (step @p380 :rule reordering :premises (@p379) :args ((or @t269 @t272))) % 34.24/34.75 (step @p381 :rule cnf_and_pos :args (@t270 1)) % 34.24/34.75 (step @p382 :rule reordering :premises (@p381) :args ((or @t268 @t272))) % 34.24/34.75 (step @p383 :rule cnf_or_pos :args (@t275)) % 34.24/34.75 (step @p384 :rule reordering :premises (@p383) :args ((or @t245 @t243 @t241 @t273 @t274 (not @t275)))) % 34.24/34.75 (assume-push @p436 @t261) % 34.24/34.75 (step @p386 :rule instantiate :premises (@p436) :args ((@list @t240 @t239))) % 34.24/34.75 (step-pop @p437 :rule scope :premises (@p386)) % 34.24/34.75 (step @p387 :rule process_scope :premises (@p437) :args (@t275)) % 34.24/34.75 (step @p389 :rule implies_elim :premises (@p387)) % 34.24/34.75 (step @p390 :rule chain_m_resolution :premises (@p389 @p384 @p382 @p380 @p378 @p376 @p297 @p366 @p365 @p360 @p354 @p352 @p311 @p302 @p300 @p286 @p285) :args (@t238 (@list true false false false false false true false false false false true false false true true) (@list @t275 @t268 @t269 @t270 @t271 @t227 @t241 @t242 @t244 @t261 @t262 @t246 @t233 @t234 @t224 @t226))) % 34.24/34.75 (step @p391 :rule cnf_equiv_neg1 :args (@t226)) % 34.24/34.75 (step @p392 :rule reordering :premises (@p391) :args ((or @t225 @t224 @t226))) % 34.24/34.75 (step @p393 :rule chain_m_resolution :premises (@p392 @p390 @p285) :args (@t224 (@list true true) (@list @t225 @t226))) % 34.24/34.75 (step @p394 :rule cnf_equiv_pos2 :args (@t234)) % 34.24/34.75 (step @p395 :rule reordering :premises (@p394) :args ((or @t225 @t265 @t237))) % 34.24/34.75 (step @p396 :rule chain_m_resolution :premises (@p395 @p390 @p300) :args (@t265 @t276 (@list @t225 @t234))) % 34.24/34.75 (step @p397 :rule cnf_equiv_pos2 :args (@t262)) % 34.24/34.75 (step @p398 :rule reordering :premises (@p397) :args ((or @t233 @t277 @t264))) % 34.24/34.75 (step @p399 :rule chain_m_resolution :premises (@p398 @p396 @p352) :args (@t277 @t276 (@list @t233 @t262))) % 34.24/34.75 (step @p400 :rule refl :args (@t286)) % 34.24/34.75 (step @p401 :rule bool-double-not-elim :args (@t261)) % 34.24/34.75 (step @p402 :rule nary_cong :premises (@p401 @p400) :args ((or (not @t277) @t286))) % 34.24/34.75 (assume-push @p438 @t277) % 34.24/34.75 (step @p404 :rule skolemize :premises (@p438)) % 34.24/34.75 (step-pop @p439 :rule scope :premises (@p404)) % 34.24/34.75 (step @p405 :rule process_scope :premises (@p439) :args (@t286)) % 34.24/34.75 (step @p407 :rule implies_elim :premises (@p405)) % 34.24/34.75 (step @p408 :rule eq_resolve :premises (@p407 @p402)) % 34.24/34.75 (step @p409 :rule chain_m_resolution :premises (@p408 @p399) :args (@t286 @t230 (@list @t261))) % 34.24/34.75 (step @p410 :rule cnf_or_neg :args (@t285 4)) % 34.24/34.75 (step @p411 :rule chain_m_resolution :premises (@p410 @p409) :args ((not @t280) @t230 @t287)) % 34.24/34.75 (step @p412 :rule bool-double-not-elim :args (@t281)) % 34.24/34.75 (step @p413 :rule refl :args (@t285)) % 34.24/34.75 (step @p414 :rule nary_cong :premises (@p413 @p412) :args ((or @t285 (not @t282)))) % 34.24/34.75 (step @p415 :rule cnf_or_neg :args (@t285 3)) % 34.24/34.75 (step @p416 :rule eq_resolve :premises (@p415 @p414)) % 34.24/34.75 (step @p417 :rule reordering :premises (@p416) :args ((or @t281 @t285))) % 34.24/34.75 (step @p418 :rule chain_m_resolution :premises (@p417 @p409) :args (@t281 @t230 @t287)) % 34.24/34.75 (step @p419 :rule bool-double-not-elim :args (@t283)) % 34.24/34.75 (step @p420 :rule nary_cong :premises (@p413 @p419) :args ((or @t285 (not @t284)))) % 34.24/34.75 (step @p421 :rule cnf_or_neg :args (@t285 2)) % 34.24/34.75 (step @p422 :rule eq_resolve :premises (@p421 @p420)) % 34.24/34.75 (step @p423 :rule reordering :premises (@p422) :args ((or @t283 @t285))) % 34.24/34.75 (step @p424 :rule chain_m_resolution :premises (@p423 @p409) :args (@t283 @t230 @t287)) % 34.24/34.75 (step @p425 :rule cnf_or_pos :args (@t288)) % 34.24/34.75 (step @p426 :rule reordering :premises (@p425) :args ((or @t284 @t282 @t280 @t289))) % 34.24/34.75 (step @p427 :rule chain_m_resolution :premises (@p426 @p424 @p418 @p411) :args (@t289 (@list false false true) (@list @t283 @t281 @t280))) % 34.24/34.75 (assume-push @p440 @t224) % 34.24/34.75 (step @p429 :rule instantiate :premises (@p440) :args ((@list @t279 @t278))) % 34.24/34.75 (step-pop @p441 :rule scope :premises (@p429)) % 34.24/34.75 (step @p430 :rule process_scope :premises (@p441) :args (@t288)) % 34.24/34.75 (step @p432 :rule implies_elim :premises (@p430)) % 34.24/34.75 (step @p433 false :rule chain_m_resolution :premises (@p432 @p427 @p393) :args (false @t276 (@list @t288 @t224))) % 34.24/34.75 ) % 34.24/34.75 % SZS output end Proof % 34.24/34.75 % cvc5 exiting %------------------------------------------------------------------------------