%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU249+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 : n026.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 08:51:07 AM UTC 2026 % Result : Theorem 49.45s 49.66s % Output : Proof 49.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU249+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 % 0.17/0.34 % Computer : n026.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:47:55 EDT 2026 % 0.17/0.35 % CPUTime : % 0.40/0.56 %----Proving TF0_NAR, FOF, or CNF % 49.45/49.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 49.45/49.66 --- Run --no-e-matching --full-saturate-quant at 6... % 49.45/49.66 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 49.45/49.66 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 49.45/49.66 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 49.45/49.66 % SZS status Theorem % 49.45/49.66 % SZS output start Proof % 49.45/49.66 ( % 49.45/49.66 (declare-sort $$unsorted 0) % 49.45/49.66 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.empty_set $$unsorted) % 49.45/49.66 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.empty (-> $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.relation_restriction (-> $$unsorted $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.function (-> $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.relation (-> $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.connected (-> $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.transitive (-> $$unsorted Bool)) % 49.45/49.66 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 49.45/49.66 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 49.45/49.66 (define @t1 () (@var "A" $$unsorted)) % 49.45/49.66 (define @t2 () (@var "B" $$unsorted)) % 49.45/49.66 (define @t3 () (tptp.in @t2 @t1)) % 49.45/49.66 (define @t4 () (not @t3)) % 49.45/49.66 (define @t5 () (tptp.in @t1 @t2)) % 49.45/49.66 (define @t6 () (@list @t1 @t2)) % 49.45/49.66 (define @t7 () (tptp.proper_subset @t2 @t1)) % 49.45/49.66 (define @t8 () (tptp.proper_subset @t1 @t2)) % 49.45/49.66 (define @t9 () (tptp.function @t1)) % 49.45/49.66 (define @t10 () (tptp.empty @t1)) % 49.45/49.66 (define @t11 () (@list @t1)) % 49.45/49.66 (define @t12 () (tptp.epsilon_connected @t1)) % 49.45/49.66 (define @t13 () (tptp.epsilon_transitive @t1)) % 49.45/49.66 (define @t14 () (and @t13 @t12)) % 49.45/49.66 (define @t15 () (tptp.ordinal @t1)) % 49.45/49.66 (define @t16 () (tptp.relation @t1)) % 49.45/49.66 (define @t17 () (tptp.one_to_one @t1)) % 49.45/49.66 (define @t18 () (and @t16 @t9 @t17)) % 49.45/49.66 (define @t19 () (and @t16 @t10 @t9)) % 49.45/49.66 (define @t20 () (and @t13 @t12 @t15)) % 49.45/49.66 (define @t21 () (tptp.unordered_pair @t1 @t2)) % 49.45/49.66 (define @t22 () (tptp.set_union2 @t2 @t1)) % 49.45/49.66 (define @t23 () (tptp.set_union2 @t1 @t2)) % 49.45/49.66 (define @t24 () (tptp.set_intersection2 @t1 @t2)) % 49.45/49.66 (define @t25 () (tptp.ordinal_subset @t1 @t2)) % 49.45/49.66 (define @t26 () (tptp.ordinal @t2)) % 49.45/49.66 (define @t27 () (and @t15 @t26)) % 49.45/49.66 (define @t28 () (@var "D" $$unsorted)) % 49.45/49.66 (define @t29 () (@var "C" $$unsorted)) % 49.45/49.66 (define @t30 () (= @t29 @t28)) % 49.45/49.66 (define @t31 () (tptp.in @t29 @t1)) % 49.45/49.66 (define @t32 () (tptp.ordered_pair @t29 @t28)) % 49.45/49.66 (define @t33 () (tptp.in @t32 @t2)) % 49.45/49.66 (define @t34 () (@list @t29 @t28)) % 49.45/49.66 (define @t35 () (tptp.identity_relation @t1)) % 49.45/49.66 (define @t36 () (= @t2 @t35)) % 49.45/49.66 (define @t37 () (tptp.relation @t2)) % 49.45/49.66 (define @t38 () (tptp.subset @t2 @t1)) % 49.45/49.66 (define @t39 () (tptp.subset @t1 @t2)) % 49.45/49.66 (define @t40 () (= @t1 @t2)) % 49.45/49.66 (define @t41 () (@var "E" $$unsorted)) % 49.45/49.66 (define @t42 () (tptp.ordered_pair @t28 @t41)) % 49.45/49.66 (define @t43 () (tptp.in @t42 @t1)) % 49.45/49.66 (define @t44 () (tptp.in @t28 @t2)) % 49.45/49.66 (define @t45 () (tptp.in @t42 @t29)) % 49.45/49.66 (define @t46 () (@list @t28 @t41)) % 49.45/49.66 (define @t47 () (tptp.relation_dom_restriction @t1 @t2)) % 49.45/49.66 (define @t48 () (tptp.relation @t29)) % 49.45/49.66 (define @t49 () (@list @t2 @t29)) % 49.45/49.66 (define @t50 () (tptp.in @t41 @t2)) % 49.45/49.66 (define @t51 () (tptp.relation_dom @t1)) % 49.45/49.66 (define @t52 () (@list @t41)) % 49.45/49.66 (define @t53 () (tptp.in @t28 @t29)) % 49.45/49.66 (define @t54 () (@list @t28)) % 49.45/49.66 (define @t55 () (= @t29 (tptp.relation_image @t1 @t2))) % 49.45/49.66 (define @t56 () (and @t16 @t9)) % 49.45/49.66 (define @t57 () (tptp.in @t41 @t1)) % 49.45/49.66 (define @t58 () (tptp.relation_rng_restriction @t1 @t2)) % 49.45/49.66 (define @t59 () (@list @t29)) % 49.45/49.66 (define @t60 () (tptp.relation_field @t1)) % 49.45/49.66 (define @t61 () (tptp.antisymmetric @t1)) % 49.45/49.66 (define @t62 () (tptp.apply @t1 @t28)) % 49.45/49.66 (define @t63 () (tptp.in @t28 @t51)) % 49.45/49.66 (define @t64 () (= @t29 (tptp.relation_inverse_image @t1 @t2))) % 49.45/49.66 (define @t65 () (tptp.connected @t1)) % 49.45/49.66 (define @t66 () (tptp.transitive @t1)) % 49.45/49.66 (define @t67 () (tptp.in @t41 @t28)) % 49.45/49.66 (define @t68 () (@list @t1 @t2 @t29 @t28)) % 49.45/49.66 (define @t69 () (tptp.singleton @t1)) % 49.45/49.66 (define @t70 () (tptp.succ @t1)) % 49.45/49.66 (define @t71 () (@list @t2)) % 49.45/49.66 (define @t72 () (tptp.in @t29 @t2)) % 49.45/49.66 (define @t73 () (tptp.is_reflexive_in @t1 @t2)) % 49.45/49.66 (define @t74 () (= @t2 tptp.empty_set)) % 49.45/49.66 (define @t75 () (= @t2 (tptp.set_meet @t1))) % 49.45/49.66 (define @t76 () (= @t1 tptp.empty_set)) % 49.45/49.66 (define @t77 () (tptp.in @t29 @t28)) % 49.45/49.66 (define @t78 () (tptp.in @t28 @t1)) % 49.45/49.66 (define @t79 () (not @t76)) % 49.45/49.66 (define @t80 () (tptp.powerset @t1)) % 49.45/49.66 (define @t81 () (tptp.in @t32 @t1)) % 49.45/49.66 (define @t82 () (tptp.empty @t2)) % 49.45/49.66 (define @t83 () (tptp.element @t2 @t1)) % 49.45/49.66 (define @t84 () (not @t10)) % 49.45/49.66 (define @t85 () (@list @t1 @t2 @t29)) % 49.45/49.66 (define @t86 () (not @t74)) % 49.45/49.66 (define @t87 () (tptp.well_founded_relation @t1)) % 49.45/49.66 (define @t88 () (forall @t54 (= @t53 (or @t78 @t44)))) % 49.45/49.66 (define @t89 () (= (= @t29 @t23) @t88)) % 49.45/49.66 (define @t90 () (forall @t85 @t89)) % 49.45/49.66 (define @t91 () (@var "F" $$unsorted)) % 49.45/49.66 (define @t92 () (tptp.cartesian_product2 @t1 @t2)) % 49.45/49.66 (define @t93 () (not @t72)) % 49.45/49.66 (define @t94 () (= @t2 @t29)) % 49.45/49.66 (define @t95 () (not @t94)) % 49.45/49.66 (define @t96 () (tptp.in @t2 @t29)) % 49.45/49.66 (define @t97 () (forall @t59 (=> @t31 @t72))) % 49.45/49.66 (define @t98 () (= @t29 tptp.empty_set)) % 49.45/49.66 (define @t99 () (tptp.subset @t29 @t2)) % 49.45/49.66 (define @t100 () (tptp.is_well_founded_in @t1 @t2)) % 49.45/49.66 (define @t101 () (tptp.apply @t1 @t2)) % 49.45/49.66 (define @t102 () (= @t29 @t101)) % 49.45/49.66 (define @t103 () (tptp.in @t2 @t51)) % 49.45/49.66 (define @t104 () (tptp.in (tptp.ordered_pair @t2 @t29) @t1)) % 49.45/49.66 (define @t105 () (tptp.in (tptp.ordered_pair @t28 @t29) @t1)) % 49.45/49.66 (define @t106 () (tptp.is_antisymmetric_in @t1 @t2)) % 49.45/49.66 (define @t107 () (tptp.cast_to_subset @t1)) % 49.45/49.66 (define @t108 () (tptp.union @t1)) % 49.45/49.66 (define @t109 () (tptp.reflexive @t1)) % 49.45/49.66 (define @t110 () (tptp.well_ordering @t1)) % 49.45/49.66 (define @t111 () (tptp.set_difference @t1 @t2)) % 49.45/49.66 (define @t112 () (and @t63 (= @t29 @t62))) % 49.45/49.66 (define @t113 () (tptp.relation_rng @t1)) % 49.45/49.66 (define @t114 () (= @t2 @t113)) % 49.45/49.66 (define @t115 () (tptp.subset_complement @t1 @t2)) % 49.45/49.66 (define @t116 () (tptp.element @t2 @t80)) % 49.45/49.66 (define @t117 () (tptp.ordered_pair @t1 @t2)) % 49.45/49.66 (define @t118 () (tptp.is_connected_in @t1 @t2)) % 49.45/49.66 (define @t119 () (tptp.is_transitive_in @t1 @t2)) % 49.45/49.66 (define @t120 () (tptp.being_limit_ordinal @t1)) % 49.45/49.66 (define @t121 () (= @t60 (tptp.set_union2 @t51 @t113))) % 49.45/49.66 (define @t122 () (forall @t11 (=> @t16 @t121))) % 49.45/49.66 (define @t123 () (tptp.cartesian_product2 @t2 @t2)) % 49.45/49.66 (define @t124 () (tptp.relation_restriction @t1 @t2)) % 49.45/49.66 (define @t125 () (forall @t71 (= @t124 (tptp.set_intersection2 @t1 @t123)))) % 49.45/49.66 (define @t126 () (forall @t11 (=> @t16 @t125))) % 49.45/49.66 (define @t127 () (tptp.relation_inverse @t1)) % 49.45/49.66 (define @t128 () (tptp.disjoint @t1 @t2)) % 49.45/49.66 (define @t129 () (tptp.relation_composition @t1 @t2)) % 49.45/49.66 (define @t130 () (tptp.complements_of_subsets @t1 @t2)) % 49.45/49.66 (define @t131 () (tptp.powerset @t80)) % 49.45/49.66 (define @t132 () (tptp.element @t2 @t131)) % 49.45/49.66 (define @t133 () (not @t40)) % 49.45/49.66 (define @t134 () (tptp.function_inverse @t1)) % 49.45/49.66 (define @t135 () (tptp.relation @t124)) % 49.45/49.66 (define @t136 () (forall @t6 (=> @t16 @t135))) % 49.45/49.66 (define @t137 () (tptp.relation @t127)) % 49.45/49.66 (define @t138 () (tptp.relation @t129)) % 49.45/49.66 (define @t139 () (and @t16 @t37)) % 49.45/49.66 (define @t140 () (tptp.union_of_subsets @t1 @t2)) % 49.45/49.66 (define @t141 () (tptp.relation @t35)) % 49.45/49.66 (define @t142 () (tptp.meet_of_subsets @t1 @t2)) % 49.45/49.66 (define @t143 () (tptp.subset_difference @t1 @t2 @t29)) % 49.45/49.66 (define @t144 () (tptp.element @t29 @t80)) % 49.45/49.66 (define @t145 () (and @t116 @t144)) % 49.45/49.66 (define @t146 () (tptp.relation @t47)) % 49.45/49.66 (define @t147 () (forall @t6 (=> @t16 @t146))) % 49.45/49.66 (define @t148 () (tptp.relation @t58)) % 49.45/49.66 (define @t149 () (forall @t6 (=> @t37 @t148))) % 49.45/49.66 (define @t150 () (tptp.relation_composition @t2 @t1)) % 49.45/49.66 (define @t151 () (and @t10 @t37)) % 49.45/49.66 (define @t152 () (tptp.relation_empty_yielding tptp.empty_set)) % 49.45/49.66 (define @t153 () (tptp.relation tptp.empty_set)) % 49.45/49.66 (define @t154 () (tptp.empty tptp.empty_set)) % 49.45/49.66 (define @t155 () (tptp.relation_empty_yielding @t1)) % 49.45/49.66 (define @t156 () (and @t16 @t155)) % 49.45/49.66 (define @t157 () (tptp.function @t2)) % 49.45/49.66 (define @t158 () (not (tptp.empty @t70))) % 49.45/49.66 (define @t159 () (not @t82)) % 49.45/49.66 (define @t160 () (and @t37 @t157)) % 49.45/49.66 (define @t161 () (tptp.empty @t51)) % 49.45/49.66 (define @t162 () (and @t84 @t16)) % 49.45/49.66 (define @t163 () (tptp.empty @t113)) % 49.45/49.66 (define @t164 () (tptp.in @t2 @t60)) % 49.45/49.66 (define @t165 () (tptp.disjoint @t69 @t2)) % 49.45/49.66 (define @t166 () (not @t5)) % 49.45/49.66 (define @t167 () (tptp.relation_dom @t2)) % 49.45/49.66 (define @t168 () (tptp.subset @t69 @t2)) % 49.45/49.66 (define @t169 () (forall @t6 (= @t168 @t5))) % 49.45/49.66 (define @t170 () (tptp.in (tptp.ordered_pair @t29 @t2) @t1)) % 49.45/49.66 (define @t171 () (not @t104)) % 49.45/49.66 (define @t172 () (tptp.singleton @t2)) % 49.45/49.66 (define @t173 () (tptp.union @t2)) % 49.45/49.66 (define @t174 () (tptp.in @t1 @t29)) % 49.45/49.66 (define @t175 () (tptp.element @t1 (tptp.powerset @t2))) % 49.45/49.66 (define @t176 () (tptp.relation_dom @t29)) % 49.45/49.66 (define @t177 () (tptp.relation_dom_restriction @t29 @t1)) % 49.45/49.66 (define @t178 () (tptp.in @t2 (tptp.relation_dom @t177))) % 49.45/49.66 (define @t179 () (and @t48 (tptp.function @t29))) % 49.45/49.66 (define @t180 () (tptp.set_difference @t2 @t29)) % 49.45/49.66 (define @t181 () (= @t1 @t29)) % 49.45/49.66 (define @t182 () (tptp.relation_rng @t29)) % 49.45/49.66 (define @t183 () (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t29))) (and @t5 (tptp.in @t1 @t182)))) % 49.45/49.66 (define @t184 () (forall @t85 (=> @t48 @t183))) % 49.45/49.66 (define @t185 () (tptp.relation_rng @t58)) % 49.45/49.66 (define @t186 () (tptp.subset @t185 @t1)) % 49.45/49.66 (define @t187 () (forall @t6 (=> @t37 @t186))) % 49.45/49.66 (define @t188 () (tptp.relation_rng @t2)) % 49.45/49.66 (define @t189 () (tptp.cartesian_product2 @t1 @t29)) % 49.45/49.66 (define @t190 () (= @t185 (tptp.set_intersection2 @t188 @t1))) % 49.45/49.66 (define @t191 () (forall @t6 (=> @t37 @t190))) % 49.45/49.66 (define @t192 () (forall @t59 (not (and @t99 (not (tptp.are_equipotent @t29 @t2)) @t93)))) % 49.45/49.66 (define @t193 () (tptp.powerset @t29)) % 49.45/49.66 (define @t194 () (forall @t34 (=> (and @t72 (tptp.subset @t28 @t29)) @t44))) % 49.45/49.66 (define @t195 () (tptp.relation_dom_restriction @t29 @t2)) % 49.45/49.66 (define @t196 () (tptp.relation_image @t2 @t1)) % 49.45/49.66 (define @t197 () (tptp.relation_inverse_image @t2 @t1)) % 49.45/49.66 (define @t198 () (tptp.relation_image @t2 @t197)) % 49.45/49.66 (define @t199 () (tptp.set_intersection2 @t167 @t1)) % 49.45/49.66 (define @t200 () (tptp.subset @t1 @t188)) % 49.45/49.66 (define @t201 () (tptp.relation_rng @t129)) % 49.45/49.66 (define @t202 () (tptp.relation_inverse_image @t29 @t2)) % 49.45/49.66 (define @t203 () (tptp.relation_restriction @t29 @t2)) % 49.45/49.66 (define @t204 () (tptp.relation_restriction @t2 @t1)) % 49.45/49.66 (define @t205 () (= @t204 (tptp.relation_dom_restriction @t58 @t1))) % 49.45/49.66 (define @t206 () (forall @t6 (=> @t37 @t205))) % 49.45/49.66 (define @t207 () (tptp.relation_dom_restriction @t2 @t1)) % 49.45/49.66 (define @t208 () (= @t204 (tptp.relation_rng_restriction @t1 @t207))) % 49.45/49.66 (define @t209 () (forall @t6 (=> @t37 @t208))) % 49.45/49.66 (define @t210 () (tptp.relation_field @t29)) % 49.45/49.66 (define @t211 () (tptp.in @t1 @t210)) % 49.45/49.66 (define @t212 () (and @t211 @t5)) % 49.45/49.66 (define @t213 () (tptp.in @t1 (tptp.relation_field @t203))) % 49.45/49.66 (define @t214 () (=> @t213 @t212)) % 49.45/49.66 (define @t215 () (forall @t85 (=> @t48 @t214))) % 49.45/49.66 (define @t216 () (not @t215)) % 49.45/49.66 (define @t217 () (tptp.set_intersection2 @t2 @t29)) % 49.45/49.66 (define @t218 () (tptp.subset @t1 @t29)) % 49.45/49.66 (define @t219 () (tptp.element @t1 @t2)) % 49.45/49.66 (define @t220 () (tptp.subset @t2 @t29)) % 49.45/49.66 (define @t221 () (and @t39 @t220)) % 49.45/49.66 (define @t222 () (forall @t85 (=> @t221 @t218))) % 49.45/49.66 (define @t223 () (tptp.in @t1 @t176)) % 49.45/49.66 (define @t224 () (tptp.in @t117 @t29)) % 49.45/49.66 (define @t225 () (tptp.apply @t29 @t1)) % 49.45/49.66 (define @t226 () (tptp.relation_composition @t29 @t2)) % 49.45/49.66 (define @t227 () (tptp.in @t1 (tptp.relation_dom @t226))) % 49.45/49.66 (define @t228 () (and (tptp.subset @t51 @t167) (tptp.subset @t113 @t188))) % 49.45/49.66 (define @t229 () (=> @t39 @t228)) % 49.45/49.66 (define @t230 () (forall @t71 (=> @t37 @t229))) % 49.45/49.66 (define @t231 () (=> @t16 @t230)) % 49.45/49.66 (define @t232 () (forall @t11 @t231)) % 49.45/49.66 (define @t233 () (=> @t39 (= @t24 @t1))) % 49.45/49.66 (define @t234 () (forall @t6 @t233)) % 49.45/49.66 (define @t235 () (tptp.apply @t2 @t29)) % 49.45/49.66 (define @t236 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 49.45/49.66 (define @t237 () (forall @t6 (= @t236 @t23))) % 49.45/49.66 (define @t238 () (and @t31 @t72)) % 49.45/49.66 (define @t239 () (not @t128)) % 49.45/49.66 (define @t240 () (tptp.set_difference @t23 @t2)) % 49.45/49.66 (define @t241 () (forall @t6 (= @t240 @t111))) % 49.45/49.66 (define @t242 () (tptp.succ @t2)) % 49.45/49.66 (define @t243 () (= @t1 @t242)) % 49.45/49.66 (define @t244 () (tptp.subset_complement @t1 @t29)) % 49.45/49.66 (define @t245 () (tptp.disjoint @t2 @t29)) % 49.45/49.66 (define @t246 () (tptp.relation_dom @t129)) % 49.45/49.66 (define @t247 () (tptp.element @t2 @t193)) % 49.45/49.66 (define @t248 () (tptp.in @t29 @t24)) % 49.45/49.66 (define @t249 () (and (tptp.in @t29 @t113) (= @t28 @t235))) % 49.45/49.66 (define @t250 () (tptp.function_inverse @t2)) % 49.45/49.66 (define @t251 () (= @t113 tptp.empty_set)) % 49.45/49.66 (define @t252 () (= @t51 tptp.empty_set)) % 49.45/49.66 (define @t253 () (= (tptp.apply @t177 @t2) (tptp.apply @t29 @t2))) % 49.45/49.66 (define @t254 () (= (tptp.in @t1 (tptp.relation_dom @t195)) (and @t5 @t223))) % 49.45/49.66 (define @t255 () (forall @t85 (=> @t48 @t254))) % 49.45/49.66 (define @t256 () (tptp.subset (tptp.set_union2 @t1 @t29) @t2)) % 49.45/49.66 (define @t257 () (and @t39 @t99)) % 49.45/49.66 (define @t258 () (forall @t85 (=> @t257 @t256))) % 49.45/49.66 (define @t259 () (= @t69 (tptp.unordered_pair @t2 @t29))) % 49.45/49.66 (define @t260 () (not @t213)) % 49.45/49.66 (define @t261 () (not @t48)) % 49.45/49.66 (define @t262 () (or @t261 @t260 @t212)) % 49.45/49.66 (define @t263 () (forall @t85 @t262)) % 49.45/49.66 (define @t264 () (@quantifiers_skolemize @t263 1)) % 49.45/49.66 (define @t265 () (@quantifiers_skolemize @t263 2)) % 49.45/49.66 (define @t266 () (tptp.relation_restriction @t265 @t264)) % 49.45/49.66 (define @t267 () (@quantifiers_skolemize @t263 0)) % 49.45/49.66 (define @t268 () (@list @t265 @t264)) % 49.45/49.66 (define @t269 () (tptp.relation @t265)) % 49.45/49.66 (define @t270 () (tptp.in @t267 @t264)) % 49.45/49.66 (define @t271 () (tptp.relation_field @t265)) % 49.45/49.66 (define @t272 () (tptp.in @t267 @t271)) % 49.45/49.66 (define @t273 () (and @t272 @t270)) % 49.45/49.66 (define @t274 () (tptp.relation_field @t266)) % 49.45/49.66 (define @t275 () (tptp.in @t267 @t274)) % 49.45/49.66 (define @t276 () (not @t275)) % 49.45/49.66 (define @t277 () (not @t269)) % 49.45/49.66 (define @t278 () (or @t277 @t276 @t273)) % 49.45/49.66 (define @t279 () (@list true)) % 49.45/49.66 (define @t280 () (@list @t278)) % 49.45/49.66 (define @t281 () (tptp.relation @t266)) % 49.45/49.66 (define @t282 () (or @t277 @t281)) % 49.45/49.66 (define @t283 () (@list false false)) % 49.45/49.66 (define @t284 () (tptp.relation_rng @t266)) % 49.45/49.66 (define @t285 () (tptp.in @t267 @t284)) % 49.45/49.66 (define @t286 () (and @t270 @t285)) % 49.45/49.66 (define @t287 () (tptp.in @t267 (tptp.relation_rng (tptp.relation_rng_restriction @t264 @t266)))) % 49.45/49.66 (define @t288 () (= @t287 @t286)) % 49.45/49.66 (define @t289 () (not @t281)) % 49.45/49.66 (define @t290 () (or @t289 @t288)) % 49.45/49.66 (define @t291 () (not @t220)) % 49.45/49.66 (define @t292 () (not @t39)) % 49.45/49.66 (define @t293 () (tptp.singleton @t267)) % 49.45/49.66 (define @t294 () (not @t99)) % 49.45/49.66 (define @t295 () (tptp.relation_dom @t266)) % 49.45/49.66 (define @t296 () (tptp.relation_rng @t265)) % 49.45/49.66 (define @t297 () (tptp.relation_dom @t265)) % 49.45/49.66 (define @t298 () (tptp.set_union2 @t297 @t296)) % 49.45/49.66 (define @t299 () (@list @t297 @t296)) % 49.45/49.66 (define @t300 () (tptp.subset @t296 @t298)) % 49.45/49.66 (define @t301 () (@var "BOUND_VARIABLE_10728" $$unsorted)) % 49.45/49.66 (define @t302 () (and (tptp.subset @t51 (tptp.relation_dom @t301)) (tptp.subset @t113 (tptp.relation_rng @t301)))) % 49.45/49.66 (define @t303 () (not (tptp.subset @t1 @t301))) % 49.45/49.66 (define @t304 () (not (tptp.relation @t301))) % 49.45/49.66 (define @t305 () (not @t16)) % 49.45/49.66 (define @t306 () (or @t304 @t303 @t302)) % 49.45/49.66 (define @t307 () (or @t305 @t306)) % 49.45/49.66 (define @t308 () (forall (@list @t1 @t301) @t307)) % 49.45/49.66 (define @t309 () (@list @t301)) % 49.45/49.66 (define @t310 () (forall @t309 @t307)) % 49.45/49.66 (define @t311 () (forall @t309 @t306)) % 49.45/49.66 (define @t312 () (@list @t2)) % 49.45/49.66 (define @t313 () (or @t305 @t311)) % 49.45/49.66 (define @t314 () (not @t37)) % 49.45/49.66 (define @t315 () (or @t314 @t292 @t228)) % 49.45/49.66 (define @t316 () (forall @t71 @t315)) % 49.45/49.66 (define @t317 () (tptp.cartesian_product2 @t264 @t264)) % 49.45/49.66 (define @t318 () (@var "BOUND_VARIABLE_9826" $$unsorted)) % 49.45/49.66 (define @t319 () (= (tptp.relation_restriction @t1 @t318) (tptp.set_intersection2 @t1 (tptp.cartesian_product2 @t318 @t318)))) % 49.45/49.66 (define @t320 () (or @t305 @t319)) % 49.45/49.66 (define @t321 () (@list @t318)) % 49.45/49.66 (define @t322 () (forall @t321 @t320)) % 49.45/49.66 (define @t323 () (forall @t321 @t319)) % 49.45/49.66 (define @t324 () (or @t305 @t323)) % 49.45/49.66 (define @t325 () (= @t266 (tptp.set_intersection2 @t265 @t317))) % 49.45/49.66 (define @t326 () (or @t277 @t325)) % 49.45/49.66 (define @t327 () (tptp.subset @t266 @t265)) % 49.45/49.66 (define @t328 () (tptp.subset @t284 @t296)) % 49.45/49.66 (define @t329 () (tptp.subset @t295 @t297)) % 49.45/49.66 (define @t330 () (and @t329 @t328)) % 49.45/49.66 (define @t331 () (not @t327)) % 49.45/49.66 (define @t332 () (or @t289 @t277 @t331 @t330)) % 49.45/49.66 (define @t333 () (not @t330)) % 49.45/49.66 (define @t334 () (@list false)) % 49.45/49.66 (define @t335 () (@list @t330)) % 49.45/49.66 (define @t336 () (tptp.subset @t284 @t298)) % 49.45/49.66 (define @t337 () (not @t300)) % 49.45/49.66 (define @t338 () (not @t328)) % 49.45/49.66 (define @t339 () (or @t338 @t337 @t336)) % 49.45/49.66 (define @t340 () (@list false false false)) % 49.45/49.66 (define @t341 () (= @t271 @t298)) % 49.45/49.66 (define @t342 () (or @t277 @t341)) % 49.45/49.66 (define @t343 () (tptp.subset @t284 @t271)) % 49.45/49.66 (define @t344 () (tptp.subset @t297 @t271)) % 49.45/49.66 (define @t345 () (tptp.subset @t295 @t271)) % 49.45/49.66 (define @t346 () (not @t344)) % 49.45/49.66 (define @t347 () (not @t329)) % 49.45/49.66 (define @t348 () (or @t347 @t346 @t345)) % 49.45/49.66 (define @t349 () (tptp.subset (tptp.set_union2 @t284 @t295) @t271)) % 49.45/49.66 (define @t350 () (not @t345)) % 49.45/49.66 (define @t351 () (not @t343)) % 49.45/49.66 (define @t352 () (or @t351 @t350 @t349)) % 49.45/49.66 (define @t353 () (tptp.set_union2 @t295 @t284)) % 49.45/49.66 (define @t354 () (= @t274 @t353)) % 49.45/49.66 (define @t355 () (or @t289 @t354)) % 49.45/49.66 (define @t356 () (tptp.subset @t274 @t271)) % 49.45/49.66 (define @t357 () (tptp.subset @t293 @t274)) % 49.45/49.66 (define @t358 () (= @t275 @t357)) % 49.45/49.66 (define @t359 () (tptp.subset @t293 @t271)) % 49.45/49.66 (define @t360 () (not @t356)) % 49.45/49.66 (define @t361 () (not @t357)) % 49.45/49.66 (define @t362 () (or @t361 @t360 @t359)) % 49.45/49.66 (define @t363 () (= @t272 @t359)) % 49.45/49.66 (define @t364 () (@list true false)) % 49.45/49.66 (define @t365 () (not @t286)) % 49.45/49.66 (define @t366 () (@list @t270)) % 49.45/49.66 (define @t367 () (not @t287)) % 49.45/49.66 (define @t368 () (@list @t264 @t265)) % 49.45/49.66 (define @t369 () (tptp.relation_rng_restriction @t264 @t265)) % 49.45/49.66 (define @t370 () (tptp.relation_dom_restriction @t369 @t264)) % 49.45/49.66 (define @t371 () (= @t266 @t370)) % 49.45/49.66 (define @t372 () (or @t277 @t371)) % 49.45/49.66 (define @t373 () (tptp.relation_rng_restriction @t264 @t370)) % 49.45/49.66 (define @t374 () (tptp.relation_rng @t373)) % 49.45/49.66 (define @t375 () (tptp.relation @t370)) % 49.45/49.66 (define @t376 () (= @t374 (tptp.set_intersection2 (tptp.relation_rng @t370) @t264))) % 49.45/49.66 (define @t377 () (not @t375)) % 49.45/49.66 (define @t378 () (or @t377 @t376)) % 49.45/49.66 (define @t379 () (tptp.relation_dom_restriction @t265 @t264)) % 49.45/49.66 (define @t380 () (tptp.relation_rng_restriction @t264 @t379)) % 49.45/49.66 (define @t381 () (= @t266 @t380)) % 49.45/49.66 (define @t382 () (or @t277 @t381)) % 49.45/49.66 (define @t383 () (tptp.relation_rng @t380)) % 49.45/49.66 (define @t384 () (tptp.set_intersection2 @t383 @t264)) % 49.45/49.66 (define @t385 () (= @t1 @t24)) % 49.45/49.66 (define @t386 () (tptp.relation @t379)) % 49.45/49.66 (define @t387 () (or @t277 @t386)) % 49.45/49.66 (define @t388 () (tptp.subset @t383 @t264)) % 49.45/49.66 (define @t389 () (not @t386)) % 49.45/49.66 (define @t390 () (or @t389 @t388)) % 49.45/49.66 (define @t391 () (= @t383 @t384)) % 49.45/49.66 (define @t392 () (not @t388)) % 49.45/49.66 (define @t393 () (or @t392 @t391)) % 49.45/49.66 (define @t394 () (= @t23 @t29)) % 49.45/49.66 (define @t395 () (forall @t54 (= (tptp.in @t28 @t274) (or (tptp.in @t28 @t295) (tptp.in @t28 @t284))))) % 49.45/49.66 (define @t396 () (= @t395 (= @t353 @t274))) % 49.45/49.66 (define @t397 () (forall @t85 (= @t88 @t394))) % 49.45/49.66 (define @t398 () (= @t354 @t395)) % 49.45/49.66 (define @t399 () (tptp.in @t267 @t295)) % 49.45/49.66 (define @t400 () (or @t399 @t285)) % 49.45/49.66 (define @t401 () (= @t275 @t400)) % 49.45/49.66 (define @t402 () (tptp.relation @t369)) % 49.45/49.66 (define @t403 () (or @t277 @t402)) % 49.45/49.66 (define @t404 () (and @t270 (tptp.in @t267 (tptp.relation_dom @t369)))) % 49.45/49.66 (define @t405 () (tptp.in @t267 (tptp.relation_dom @t370))) % 49.45/49.66 (define @t406 () (= @t405 @t404)) % 49.45/49.66 (define @t407 () (not @t402)) % 49.45/49.66 (define @t408 () (or @t407 @t406)) % 49.45/49.66 (define @t409 () (not @t404)) % 49.45/49.66 (define @t410 () (not @t405)) % 49.45/49.66 (assume @p1 (forall @t6 (=> @t5 @t4))) % 49.45/49.66 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 49.45/49.66 (assume @p3 (forall @t11 (=> @t10 @t9))) % 49.45/49.66 (assume @p4 (forall @t11 (=> @t15 @t14))) % 49.45/49.66 (assume @p5 (forall @t11 (=> @t10 @t16))) % 49.45/49.66 (assume @p6 (forall @t11 (=> @t19 @t18))) % 49.45/49.66 (assume @p7 (forall @t11 (=> @t14 @t15))) % 49.45/49.66 (assume @p8 (forall @t11 (=> @t10 @t20))) % 49.45/49.66 (assume @p9 (forall @t6 (= @t21 (tptp.unordered_pair @t2 @t1)))) % 49.45/49.66 (assume @p10 (forall @t6 (= @t23 @t22))) % 49.45/49.66 (assume @p11 (forall @t6 (= @t24 (tptp.set_intersection2 @t2 @t1)))) % 49.45/49.66 (assume @p12 (forall @t6 (=> @t27 (or @t25 (tptp.ordinal_subset @t2 @t1))))) % 49.45/49.66 (assume @p13 (forall @t6 (=> @t37 (= @t36 (forall @t34 (= @t33 (and @t31 @t30))))))) % 49.45/49.66 (assume @p14 (forall @t6 (= @t40 (and @t39 @t38)))) % 49.45/49.66 (assume @p15 (forall @t11 (=> @t16 (forall @t49 (=> @t48 (= (= @t29 @t47) (forall @t46 (= @t45 (and @t44 @t43))))))))) % 49.45/49.66 (assume @p16 (forall @t11 (=> @t56 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in @t41 @t51) @t50 (= @t28 (tptp.apply @t1 @t41))))))))))) % 49.45/49.66 (assume @p17 (forall @t6 (=> @t37 (forall @t59 (=> @t48 (= (= @t29 @t58) (forall @t46 (= @t45 (and @t57 (tptp.in @t42 @t2)))))))))) % 49.45/49.66 (assume @p18 (forall @t11 (=> @t16 (= @t61 (tptp.is_antisymmetric_in @t1 @t60))))) % 49.45/49.66 (assume @p19 (forall @t11 (=> @t56 (forall @t49 (= @t64 (forall @t54 (= @t53 (and @t63 (tptp.in @t62 @t2))))))))) % 49.45/49.66 (assume @p20 (forall @t11 (=> @t16 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in (tptp.ordered_pair @t41 @t28) @t1) @t50))))))))) % 49.45/49.66 (assume @p21 (forall @t11 (=> @t16 (forall @t49 (= @t64 (forall @t54 (= @t53 (exists @t52 (and @t43 @t50))))))))) % 49.45/49.66 (assume @p22 (forall @t11 (=> @t16 (= @t65 (tptp.is_connected_in @t1 @t60))))) % 49.45/49.66 (assume @p23 (forall @t11 (=> @t16 (= @t66 (tptp.is_transitive_in @t1 @t60))))) % 49.45/49.66 (assume @p24 (forall @t68 (= (= @t28 (tptp.unordered_triple @t1 @t2 @t29)) (forall @t52 (= @t67 (not (and (not (= @t41 @t1)) (not (= @t41 @t2)) (not (= @t41 @t29))))))))) % 49.45/49.66 (assume @p25 (forall @t11 (= @t70 (tptp.set_union2 @t1 @t69)))) % 49.45/49.66 (assume @p26 (forall @t11 (= @t16 (forall @t71 (not (and @t3 (forall @t34 (not (= @t2 @t32))))))))) % 49.45/49.66 (assume @p27 (forall @t11 (=> @t16 (forall @t71 (= @t73 (forall @t59 (=> @t72 (tptp.in (tptp.ordered_pair @t29 @t29) @t1)))))))) % 49.45/49.66 (assume @p28 (forall @t6 (and (=> @t79 (= @t75 (forall @t59 (= @t72 (forall @t54 (=> @t78 @t77)))))) (=> @t76 (= @t75 @t74))))) % 49.45/49.66 (assume @p29 (forall @t6 (= (= @t2 @t69) (forall @t59 (= @t72 (= @t29 @t1)))))) % 49.45/49.66 (assume @p30 (forall @t11 (= @t76 (forall @t71 @t4)))) % 49.45/49.66 (assume @p31 (forall @t6 (= (= @t2 @t80) (forall @t59 (= @t72 (tptp.subset @t29 @t1)))))) % 49.45/49.66 (assume @p32 (forall @t11 (= @t13 (forall @t71 (=> @t3 @t38))))) % 49.45/49.66 (assume @p33 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t40 (forall @t34 (= @t81 @t33)))))))) % 49.45/49.66 (assume @p34 (forall @t6 (and (=> @t84 (= @t83 @t3)) (=> @t10 (= @t83 @t82))))) % 49.45/49.66 (assume @p35 (forall @t85 (= (= @t29 @t21) (forall @t54 (= @t53 (or (= @t28 @t1) (= @t28 @t2))))))) % 49.45/49.66 (assume @p36 (forall @t11 (=> @t16 (= @t87 (forall @t71 (not (and (tptp.subset @t2 @t60) @t86 (forall @t59 (not (and @t72 (tptp.disjoint (tptp.fiber @t1 @t29) @t2))))))))))) % 49.45/49.66 (assume @p37 @t90) % 49.45/49.66 (assume @p38 (forall @t85 (= (= @t29 @t92) (forall @t54 (= @t53 (exists (@list @t41 @t91) (and @t57 (tptp.in @t91 @t2) (= @t28 (tptp.ordered_pair @t41 @t91))))))))) % 49.45/49.66 (assume @p39 (forall @t11 (= @t12 (forall @t49 (not (and @t3 @t31 (not @t96) @t95 @t93)))))) % 49.45/49.66 (assume @p40 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t39 (forall @t34 (=> @t81 @t33)))))))) % 49.45/49.66 (assume @p41 (forall @t6 (= @t39 @t97))) % 49.45/49.66 (assume @p42 (forall @t11 (=> @t16 (forall @t71 (= @t100 (forall @t59 (not (and @t99 (not @t98) (forall @t54 (not (and @t53 (tptp.disjoint (tptp.fiber @t1 @t28) @t29)))))))))))) % 49.45/49.66 (assume @p43 (forall @t85 (= (= @t29 @t24) (forall @t54 (= @t53 (and @t78 @t44)))))) % 49.45/49.66 (assume @p44 (forall @t11 (=> @t56 (forall @t49 (and (=> @t103 (= @t102 @t104)) (=> (not @t103) (= @t102 @t98))))))) % 49.45/49.66 (assume @p45 (forall @t11 (= @t15 @t14))) % 49.45/49.66 (assume @p46 (forall @t11 (=> @t16 (forall @t71 (= (= @t2 @t51) (forall @t59 (= @t72 (exists @t54 @t81)))))))) % 49.45/49.66 (assume @p47 (forall @t11 (=> @t16 (forall @t71 (= @t106 (forall @t34 (=> (and @t72 @t44 @t81 @t105) @t30))))))) % 49.45/49.66 (assume @p48 (forall @t11 (= @t107 @t1))) % 49.45/49.66 (assume @p49 (forall @t6 (= (= @t2 @t108) (forall @t59 (= @t72 (exists @t54 (and @t77 @t78))))))) % 49.45/49.66 (assume @p50 (forall @t11 (=> @t16 (= @t110 (and @t109 @t66 @t61 @t65 @t87))))) % 49.45/49.66 (assume @p51 (forall @t85 (= (= @t29 @t111) (forall @t54 (= @t53 (and @t78 (not @t44))))))) % 49.45/49.66 (assume @p52 (forall @t11 (=> @t56 (forall @t71 (= @t114 (forall @t59 (= @t72 (exists @t54 @t112)))))))) % 49.45/49.66 (assume @p53 (forall @t11 (=> @t16 (forall @t71 (= @t114 (forall @t59 (= @t72 (exists @t54 @t105)))))))) % 49.45/49.66 (assume @p54 (forall @t6 (=> @t116 (= @t115 @t111)))) % 49.45/49.66 (assume @p55 (forall @t6 (= @t117 (tptp.unordered_pair @t21 @t69)))) % 49.45/49.66 (assume @p56 (forall @t11 (=> @t16 (forall @t71 (= (tptp.well_orders @t1 @t2) (and @t73 @t119 @t106 @t118 @t100)))))) % 49.45/49.66 (assume @p57 (forall @t11 (= @t120 (= @t1 @t108)))) % 49.45/49.66 (assume @p58 @t122) % 49.45/49.66 (assume @p59 (forall @t11 (=> @t16 (forall @t71 (= @t118 (forall @t34 (not (and @t72 @t44 (not @t30) (not @t81) (not @t105))))))))) % 49.45/49.66 (assume @p60 @t126) % 49.45/49.66 (assume @p61 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= (= @t2 @t127) (forall @t34 (= @t33 @t105)))))))) % 49.45/49.66 (assume @p62 (forall @t6 (= @t128 (= @t24 tptp.empty_set)))) % 49.45/49.66 (assume @p63 (forall @t11 (=> @t56 (= @t17 (forall @t49 (=> (and @t103 (tptp.in @t29 @t51) (= @t101 (tptp.apply @t1 @t29))) @t94)))))) % 49.45/49.66 (assume @p64 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (forall @t59 (=> @t48 (= (= @t29 @t129) (forall @t46 (= @t45 (exists (@list @t91) (and (tptp.in (tptp.ordered_pair @t28 @t91) @t1) (tptp.in (tptp.ordered_pair @t91 @t41) @t2))))))))))))) % 49.45/49.66 (assume @p65 (forall @t11 (=> @t16 (forall @t71 (= @t119 (forall (@list @t29 @t28 @t41) (=> (and @t72 @t44 @t50 @t81 @t43) (tptp.in (tptp.ordered_pair @t29 @t41) @t1)))))))) % 49.45/49.66 (assume @p66 (forall @t6 (=> @t132 (forall @t59 (=> (tptp.element @t29 @t131) (= (= @t29 @t130) (forall @t54 (=> (tptp.element @t28 @t80) (= @t53 (tptp.in (tptp.subset_complement @t1 @t28) @t2)))))))))) % 49.45/49.66 (assume @p67 (forall @t6 (= @t8 (and @t39 @t133)))) % 49.45/49.66 (assume @p68 (forall @t11 (=> @t56 (=> @t17 (= @t134 @t127))))) % 49.45/49.66 (assume @p69 (forall @t11 (=> @t16 (= @t109 (tptp.is_reflexive_in @t1 @t60))))) % 49.45/49.66 (assume @p70 true) % 49.45/49.66 (assume @p71 (forall @t11 (=> @t56 (and (tptp.relation @t134) (tptp.function @t134))))) % 49.45/49.66 (assume @p72 (forall @t11 (tptp.element @t107 @t80))) % 49.45/49.66 (assume @p73 @t136) % 49.45/49.66 (assume @p74 (forall @t6 (=> @t116 (tptp.element @t115 @t80)))) % 49.45/49.66 (assume @p75 (forall @t11 (=> @t16 @t137))) % 49.45/49.66 (assume @p76 (forall @t6 (=> @t139 @t138))) % 49.45/49.66 (assume @p77 (forall @t6 (=> @t132 (tptp.element @t140 @t80)))) % 49.45/49.66 (assume @p78 (forall @t11 @t141)) % 49.45/49.66 (assume @p79 (forall @t6 (=> @t132 (tptp.element @t142 @t80)))) % 49.45/49.66 (assume @p80 (forall @t85 (=> @t145 (tptp.element @t143 @t80)))) % 49.45/49.66 (assume @p81 @t147) % 49.45/49.66 (assume @p82 (forall @t6 (=> @t132 (tptp.element @t130 @t131)))) % 49.45/49.66 (assume @p83 @t149) % 49.45/49.66 (assume @p84 (forall @t11 (exists @t71 @t83))) % 49.45/49.66 (assume @p85 (forall @t6 (=> @t151 (and (tptp.empty @t150) (tptp.relation @t150))))) % 49.45/49.66 (assume @p86 (forall @t11 (=> @t10 (and (tptp.empty @t127) @t137)))) % 49.45/49.66 (assume @p87 (and @t154 @t153 @t152)) % 49.45/49.66 (assume @p88 (forall @t6 (=> @t156 (and @t146 (tptp.relation_empty_yielding @t47))))) % 49.45/49.66 (assume @p89 (forall @t6 (=> (and @t16 @t9 @t37 @t157) (and @t138 (tptp.function @t129))))) % 49.45/49.66 (assume @p90 (forall @t11 @t158)) % 49.45/49.66 (assume @p91 (forall @t6 (=> @t139 (tptp.relation @t24)))) % 49.45/49.66 (assume @p92 (forall @t11 (not (tptp.empty @t80)))) % 49.45/49.66 (assume @p93 @t154) % 49.45/49.66 (assume @p94 (forall @t6 (not (tptp.empty @t117)))) % 49.45/49.66 (assume @p95 (forall @t11 (and @t141 (tptp.function @t35)))) % 49.45/49.66 (assume @p96 (and @t153 @t152 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t154 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 49.45/49.66 (assume @p97 (forall @t6 (=> @t139 (tptp.relation @t23)))) % 49.45/49.66 (assume @p98 (forall @t11 (not (tptp.empty @t69)))) % 49.45/49.66 (assume @p99 (forall @t6 (=> @t84 (not (tptp.empty @t23))))) % 49.45/49.66 (assume @p100 (forall @t11 (=> @t18 (and @t137 (tptp.function @t127))))) % 49.45/49.66 (assume @p101 (forall @t11 (=> @t15 (and @t158 (tptp.epsilon_transitive @t70) (tptp.epsilon_connected @t70) (tptp.ordinal @t70))))) % 49.45/49.66 (assume @p102 (forall @t6 (=> @t139 (tptp.relation @t111)))) % 49.45/49.66 (assume @p103 (forall @t6 (not (tptp.empty @t21)))) % 49.45/49.66 (assume @p104 (forall @t6 (=> @t84 (not (tptp.empty @t22))))) % 49.45/49.66 (assume @p105 (forall @t6 (=> @t56 (and @t146 (tptp.function @t47))))) % 49.45/49.66 (assume @p106 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t108) (tptp.epsilon_connected @t108) (tptp.ordinal @t108))))) % 49.45/49.66 (assume @p107 (and @t154 @t153)) % 49.45/49.66 (assume @p108 (forall @t6 (=> (and @t84 @t159) (not (tptp.empty @t92))))) % 49.45/49.66 (assume @p109 (forall @t6 (=> @t160 (and @t148 (tptp.function @t58))))) % 49.45/49.66 (assume @p110 (forall @t11 (=> @t162 (not @t161)))) % 49.45/49.66 (assume @p111 (forall @t11 (=> @t162 (not @t163)))) % 49.45/49.66 (assume @p112 (forall @t11 (=> @t10 (and @t161 (tptp.relation @t51))))) % 49.45/49.66 (assume @p113 (forall @t11 (=> @t10 (and @t163 (tptp.relation @t113))))) % 49.45/49.66 (assume @p114 (forall @t6 (=> @t151 (and (tptp.empty @t129) @t138)))) % 49.45/49.66 (assume @p115 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 49.45/49.66 (assume @p116 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 49.45/49.66 (assume @p117 (forall @t6 (=> @t116 (= (tptp.subset_complement @t1 @t115) @t2)))) % 49.45/49.66 (assume @p118 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t127) @t1)))) % 49.45/49.66 (assume @p119 (forall @t6 (=> @t132 (= (tptp.complements_of_subsets @t1 @t130) @t2)))) % 49.45/49.66 (assume @p120 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 49.45/49.66 (assume @p121 (forall @t11 (=> @t16 (= @t109 (forall @t71 (=> @t164 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 49.45/49.66 (assume @p122 (forall @t11 (not (= @t69 tptp.empty_set)))) % 49.45/49.66 (assume @p123 (forall @t6 (=> @t5 (= (tptp.set_union2 @t69 @t2) @t2)))) % 49.45/49.66 (assume @p124 (forall @t6 (not (and @t165 @t5)))) % 49.45/49.66 (assume @p125 (forall @t6 (=> @t166 @t165))) % 49.45/49.66 (assume @p126 (forall @t6 (=> @t37 (tptp.subset (tptp.relation_dom @t58) @t167)))) % 49.45/49.66 (assume @p127 (forall @t11 (=> @t16 (= @t66 (forall (@list @t2 @t29 @t28) (=> (and @t104 @t81) (tptp.in (tptp.ordered_pair @t2 @t28) @t1))))))) % 49.45/49.66 (assume @p128 @t169) % 49.45/49.66 (assume @p129 (forall @t6 (= (= @t111 tptp.empty_set) @t39))) % 49.45/49.66 (assume @p130 (forall @t6 (=> @t116 (forall @t59 (=> @t72 @t31))))) % 49.45/49.66 (assume @p131 (forall @t11 (=> @t16 (= @t61 (forall @t49 (=> (and @t104 @t170) @t94)))))) % 49.45/49.66 (assume @p132 (forall @t85 (=> @t39 (or @t31 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t29))))))) % 49.45/49.66 (assume @p133 (forall @t11 (=> @t16 (= @t65 (forall @t49 (not (and @t164 (tptp.in @t29 @t60) @t95 @t171 (not @t170)))))))) % 49.45/49.66 (assume @p134 (forall @t6 (= (tptp.subset @t1 @t172) (or @t76 (= @t1 @t172))))) % 49.45/49.66 (assume @p135 (forall @t6 (=> @t5 (tptp.subset @t1 @t173)))) % 49.45/49.66 (assume @p136 (forall @t68 (= (tptp.in @t117 (tptp.cartesian_product2 @t29 @t28)) (and @t174 (tptp.in @t2 @t28))))) % 49.45/49.66 (assume @p137 (forall @t6 (=> @t97 @t175))) % 49.45/49.66 (assume @p138 (forall @t85 (=> @t179 (= @t178 (and (tptp.in @t2 @t176) @t3))))) % 49.45/49.66 (assume @p139 (exists @t11 @t56)) % 49.45/49.66 (assume @p140 (exists @t11 @t20)) % 49.45/49.66 (assume @p141 (exists @t11 (and @t10 @t16))) % 49.45/49.66 (assume @p142 (forall @t11 (=> @t84 (exists @t71 (and @t116 @t159))))) % 49.45/49.66 (assume @p143 (exists @t11 @t10)) % 49.45/49.66 (assume @p144 (exists @t11 @t19)) % 49.45/49.66 (assume @p145 (exists @t11 (and @t16 @t9 @t17 @t10 @t13 @t12 @t15))) % 49.45/49.66 (assume @p146 (exists @t11 @t162)) % 49.45/49.66 (assume @p147 (forall @t11 (exists @t71 (and @t116 @t82)))) % 49.45/49.66 (assume @p148 (exists @t11 @t84)) % 49.45/49.66 (assume @p149 (exists @t11 @t18)) % 49.45/49.66 (assume @p150 (exists @t11 (and @t84 @t13 @t12 @t15))) % 49.45/49.66 (assume @p151 (exists @t11 @t156)) % 49.45/49.66 (assume @p152 (exists @t11 (and @t16 @t155 @t9))) % 49.45/49.66 (assume @p153 (forall @t6 (=> @t132 (= @t140 @t173)))) % 49.45/49.66 (assume @p154 (forall @t6 (=> @t132 (= @t142 (tptp.set_meet @t2))))) % 49.45/49.66 (assume @p155 (forall @t85 (=> @t145 (= @t143 @t180)))) % 49.45/49.66 (assume @p156 (forall @t6 (=> @t27 (= @t25 @t39)))) % 49.45/49.66 (assume @p157 (forall @t6 (=> @t27 (tptp.ordinal_subset @t1 @t1)))) % 49.45/49.66 (assume @p158 (forall @t6 (tptp.subset @t1 @t1))) % 49.45/49.66 (assume @p159 (forall @t6 (=> @t128 (tptp.disjoint @t2 @t1)))) % 49.45/49.66 (assume @p160 (forall @t11 (tptp.in @t1 @t70))) % 49.45/49.66 (assume @p161 (forall @t68 (not (and (= @t21 (tptp.unordered_pair @t29 @t28)) (not @t181) (not (= @t1 @t28)))))) % 49.45/49.66 (assume @p162 @t184) % 49.45/49.66 (assume @p163 @t187) % 49.45/49.66 (assume @p164 (forall @t6 (=> @t37 (tptp.subset @t58 @t2)))) % 49.45/49.66 (assume @p165 (forall @t6 (=> @t37 (tptp.subset @t185 @t188)))) % 49.45/49.66 (assume @p166 (forall @t85 (=> @t39 (and (tptp.subset @t189 (tptp.cartesian_product2 @t2 @t29)) (tptp.subset (tptp.cartesian_product2 @t29 @t1) (tptp.cartesian_product2 @t29 @t2)))))) % 49.45/49.66 (assume @p167 @t191) % 49.45/49.66 (assume @p168 (forall @t68 (=> (and @t39 (tptp.subset @t29 @t28)) (tptp.subset @t189 (tptp.cartesian_product2 @t2 @t28))))) % 49.45/49.66 (assume @p169 (forall @t6 (=> @t39 (= @t23 @t2)))) % 49.45/49.66 (assume @p170 (forall @t11 (exists @t71 (and @t5 @t194 (forall @t59 (=> @t72 (tptp.in @t193 @t2))) @t192)))) % 49.45/49.66 (assume @p171 (forall @t85 (=> @t48 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t29) @t2) (tptp.relation_rng_restriction @t1 @t195))))) % 49.45/49.66 (assume @p172 (forall @t85 (=> @t48 (= (tptp.in @t1 (tptp.relation_image @t29 @t2)) (exists @t54 (and (tptp.in @t28 @t176) (tptp.in (tptp.ordered_pair @t28 @t1) @t29) @t44)))))) % 49.45/49.66 (assume @p173 (forall @t6 (=> @t37 (tptp.subset @t196 @t188)))) % 49.45/49.66 (assume @p174 (forall @t6 (=> @t160 (tptp.subset @t198 @t1)))) % 49.45/49.66 (assume @p175 (forall @t6 (=> @t37 (= @t196 (tptp.relation_image @t2 @t199))))) % 49.45/49.66 (assume @p176 (forall @t6 (=> @t37 (=> (tptp.subset @t1 @t167) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t196)))))) % 49.45/49.66 (assume @p177 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t51) @t113)))) % 49.45/49.66 (assume @p178 (forall @t6 (=> @t160 (=> @t200 (= @t198 @t1))))) % 49.45/49.66 (assume @p179 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t201 (tptp.relation_image @t2 @t113))))))) % 49.45/49.66 (assume @p180 (forall @t85 (=> @t48 (= (tptp.in @t1 @t202) (exists @t54 (and (tptp.in @t28 @t182) (tptp.in (tptp.ordered_pair @t1 @t28) @t29) @t44)))))) % 49.45/49.66 (assume @p181 (forall @t6 (=> @t37 (tptp.subset @t197 @t167)))) % 49.45/49.66 (assume @p182 (forall @t85 (=> @t48 (= (tptp.in @t1 @t203) (and @t174 (tptp.in @t1 @t123)))))) % 49.45/49.66 (assume @p183 (forall @t6 (=> @t37 (not (and @t79 @t200 (= @t197 tptp.empty_set)))))) % 49.45/49.66 (assume @p184 (forall @t85 (=> @t48 (=> @t39 (tptp.subset (tptp.relation_inverse_image @t29 @t1) @t202))))) % 49.45/49.66 (assume @p185 @t206) % 49.45/49.66 (assume @p186 (forall @t6 (tptp.subset @t24 @t1))) % 49.45/49.66 (assume @p187 @t209) % 49.45/49.66 (assume @p188 @t216) % 49.45/49.66 (assume @p189 (forall @t85 (=> (and @t39 @t218) (tptp.subset @t1 @t217)))) % 49.45/49.66 (assume @p190 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 49.45/49.66 (assume @p191 (forall @t6 (=> @t5 @t219))) % 49.45/49.66 (assume @p192 @t222) % 49.45/49.66 (assume @p193 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 49.45/49.66 (assume @p194 (forall @t85 (=> @t48 (=> @t224 (and @t223 (tptp.in @t2 @t182)))))) % 49.45/49.66 (assume @p195 (forall @t6 (=> @t160 (forall @t59 (=> @t179 (= @t227 (and @t223 (tptp.in @t225 @t167)))))))) % 49.45/49.66 (assume @p196 (forall @t11 (=> @t13 (forall @t71 (=> @t26 (=> @t8 @t5)))))) % 49.45/49.66 (assume @p197 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t51 @t113))))) % 49.45/49.66 (assume @p198 (forall @t6 (=> @t160 (forall @t59 (=> @t179 (=> @t227 (= (tptp.apply @t226 @t1) (tptp.apply @t2 @t225)))))))) % 49.45/49.66 (assume @p199 (forall @t6 (=> @t160 (forall @t59 (=> @t179 (=> (tptp.in @t1 @t167) (= (tptp.apply (tptp.relation_composition @t2 @t29) @t1) (tptp.apply @t29 (tptp.apply @t2 @t1))))))))) % 49.45/49.66 (assume @p200 (forall @t6 (=> @t26 (=> @t5 @t15)))) % 49.45/49.66 (assume @p201 (forall @t11 (=> @t15 (forall @t71 (=> @t26 (not (and @t166 @t133 @t4))))))) % 49.45/49.66 (assume @p202 @t232) % 49.45/49.66 (assume @p203 (forall @t85 (=> @t39 (tptp.subset (tptp.set_intersection2 @t1 @t29) @t217)))) % 49.45/49.66 (assume @p204 @t234) % 49.45/49.66 (assume @p205 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 49.45/49.66 (assume @p206 (forall @t6 (=> @t219 (or @t82 @t5)))) % 49.45/49.66 (assume @p207 (forall @t6 (=> (forall @t59 (= @t31 @t72)) @t40))) % 49.45/49.66 (assume @p208 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 49.45/49.66 (assume @p209 (forall @t85 (=> @t48 (=> @t224 (and @t211 (tptp.in @t2 @t210)))))) % 49.45/49.66 (assume @p210 (forall @t11 (=> (forall @t71 (=> @t3 (and @t26 @t38))) @t15))) % 49.45/49.66 (assume @p211 (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))))))))))))) % 49.45/49.66 (assume @p212 (forall @t11 (=> @t15 (forall @t71 (=> @t26 (= @t5 (tptp.ordinal_subset @t70 @t2))))))) % 49.45/49.66 (assume @p213 (forall @t85 (=> @t39 (tptp.subset (tptp.set_difference @t1 @t29) @t180)))) % 49.45/49.66 (assume @p214 (forall @t68 (=> (= @t117 @t32) (and @t181 (= @t2 @t28))))) % 49.45/49.66 (assume @p215 (forall @t6 (=> @t160 (= @t36 (and (= @t167 @t1) (forall @t59 (=> @t31 (= @t235 @t29)))))))) % 49.45/49.66 (assume @p216 (forall @t6 (=> @t3 (= (tptp.apply @t35 @t2) @t2)))) % 49.45/49.66 (assume @p217 (forall @t6 (tptp.subset @t111 @t1))) % 49.45/49.66 (assume @p218 (forall @t11 (=> @t16 (and (= @t113 (tptp.relation_dom @t127)) (= @t51 (tptp.relation_rng @t127)))))) % 49.45/49.66 (assume @p219 (forall @t85 (= (tptp.subset @t21 @t29) (and @t174 @t96)))) % 49.45/49.66 (assume @p220 @t237) % 49.45/49.66 (assume @p221 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 49.45/49.66 (assume @p222 (forall @t85 (not (and @t5 @t96 @t31)))) % 49.45/49.66 (assume @p223 (forall @t6 (= @t175 @t39))) % 49.45/49.66 (assume @p224 (forall @t6 (and (not (and @t239 (forall @t59 (not @t238)))) (not (and (exists @t59 @t238) @t128))))) % 49.45/49.66 (assume @p225 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t76))) % 49.45/49.66 (assume @p226 @t241) % 49.45/49.66 (assume @p227 (forall @t11 (=> @t15 (= @t120 (forall @t71 (=> @t26 (=> @t3 (tptp.in @t242 @t1)))))))) % 49.45/49.66 (assume @p228 (forall @t11 (=> @t15 (and (not (and (not @t120) (forall @t71 (=> @t26 (not @t243))))) (not (and (exists @t71 (and @t26 @t243)) @t120)))))) % 49.45/49.66 (assume @p229 (forall @t6 (=> @t116 (forall @t59 (=> @t144 (= @t245 (tptp.subset @t2 @t244))))))) % 49.45/49.66 (assume @p230 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (tptp.subset @t246 @t51)))))) % 49.45/49.66 (assume @p231 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (tptp.subset @t201 @t188)))))) % 49.45/49.66 (assume @p232 (forall @t6 (=> @t39 (= @t2 @t236)))) % 49.45/49.66 (assume @p233 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> (tptp.subset @t113 @t167) (= @t246 @t51))))))) % 49.45/49.66 (assume @p234 (forall @t6 (=> @t132 (not (and @t86 (= @t130 tptp.empty_set)))))) % 49.45/49.66 (assume @p235 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> (tptp.subset @t51 @t188) (= (tptp.relation_rng @t150) @t113))))))) % 49.45/49.66 (assume @p236 (forall @t6 (=> @t132 (=> @t86 (= (tptp.subset_difference @t1 @t107 @t140) (tptp.meet_of_subsets @t1 @t130)))))) % 49.45/49.66 (assume @p237 (forall @t6 (=> @t132 (=> @t86 (= (tptp.union_of_subsets @t1 @t130) (tptp.subset_difference @t1 @t107 @t142)))))) % 49.45/49.66 (assume @p238 (forall @t6 (= (tptp.set_difference @t1 @t111) @t24))) % 49.45/49.66 (assume @p239 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 49.45/49.66 (assume @p240 (forall @t85 (=> (and @t5 @t247) (tptp.element @t1 @t29)))) % 49.45/49.66 (assume @p241 (forall @t6 (and (not (and @t239 (forall @t59 (not @t248)))) (not (and (exists @t59 @t248) @t128))))) % 49.45/49.66 (assume @p242 (forall @t11 (=> @t79 (forall @t71 (=> @t116 (forall @t59 (=> (tptp.element @t29 @t1) (=> @t93 (tptp.in @t29 @t115))))))))) % 49.45/49.66 (assume @p243 (forall @t11 (=> @t56 (=> @t17 (forall @t71 (=> @t160 (= (= @t2 @t134) (and (= @t167 @t113) (forall @t34 (and (=> @t249 @t112) (=> @t112 @t249))))))))))) % 49.45/49.66 (assume @p244 (forall @t85 (=> @t144 (not (and (tptp.in @t2 @t244) @t96))))) % 49.45/49.66 (assume @p245 (forall @t11 (=> @t56 (=> @t17 (and (= @t113 (tptp.relation_dom @t134)) (= @t51 (tptp.relation_rng @t134))))))) % 49.45/49.66 (assume @p246 (forall @t11 (=> @t16 (=> (forall @t49 @t171) @t76)))) % 49.45/49.66 (assume @p247 (forall @t6 (=> @t160 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t188)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t250 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t250 @t2) @t1))))))) % 49.45/49.66 (assume @p248 (forall @t85 (not (and @t5 @t247 (tptp.empty @t29))))) % 49.45/49.66 (assume @p249 (forall @t11 (=> @t16 (= @t87 (tptp.is_well_founded_in @t1 @t60))))) % 49.45/49.66 (assume @p250 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 49.45/49.66 (assume @p251 (forall @t6 (not (and @t39 @t7)))) % 49.45/49.66 (assume @p252 (forall @t11 (=> @t56 (=> @t17 (tptp.one_to_one @t134))))) % 49.45/49.66 (assume @p253 (forall @t85 (=> (and @t39 @t245) (tptp.disjoint @t1 @t29)))) % 49.45/49.66 (assume @p254 (forall @t11 (=> @t16 (=> (or @t252 @t251) @t76)))) % 49.45/49.66 (assume @p255 (forall @t11 (=> @t16 (= @t252 @t251)))) % 49.45/49.66 (assume @p256 (forall @t6 (= (= (tptp.set_difference @t1 @t172) @t1) @t4))) % 49.45/49.66 (assume @p257 (forall @t6 (=> @t160 (forall @t59 (=> @t179 (= (= @t2 @t177) (and (= @t167 (tptp.set_intersection2 @t176 @t1)) (forall @t54 (=> (tptp.in @t28 @t167) (= (tptp.apply @t2 @t28) (tptp.apply @t29 @t28))))))))))) % 49.45/49.66 (assume @p258 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t69))) % 49.45/49.66 (assume @p259 (forall @t11 (=> @t10 @t76))) % 49.45/49.66 (assume @p260 (forall @t6 (=> (tptp.subset @t69 @t172) @t40))) % 49.45/49.66 (assume @p261 (forall @t85 (=> @t179 (=> @t178 @t253)))) % 49.45/49.66 (assume @p262 (forall @t11 (and (= (tptp.relation_dom @t35) @t1) (= (tptp.relation_rng @t35) @t1)))) % 49.45/49.66 (assume @p263 (forall @t85 (=> @t179 (=> @t3 @t253)))) % 49.45/49.66 (assume @p264 (forall @t68 (=> (tptp.relation @t28) (= (tptp.in @t117 (tptp.relation_composition (tptp.identity_relation @t29) @t28)) (and @t174 (tptp.in @t117 @t28)))))) % 49.45/49.66 (assume @p265 (forall @t6 (not (and @t5 @t82)))) % 49.45/49.66 (assume @p266 (forall @t6 (not (and @t5 (forall @t59 (not (and @t72 (forall @t54 (not (and @t44 @t53)))))))))) % 49.45/49.66 (assume @p267 (forall @t6 (tptp.subset @t1 @t23))) % 49.45/49.66 (assume @p268 (forall @t6 (= @t128 (= @t111 @t1)))) % 49.45/49.66 (assume @p269 @t255) % 49.45/49.66 (assume @p270 (forall @t6 (=> @t37 (tptp.subset @t207 @t2)))) % 49.45/49.66 (assume @p271 (forall @t6 (not (and @t10 @t133 @t82)))) % 49.45/49.66 (assume @p272 (forall @t85 (=> @t179 (= @t224 (and @t223 (= @t2 @t225)))))) % 49.45/49.66 (assume @p273 (forall @t11 (=> @t16 (= (tptp.well_orders @t1 @t60) @t110)))) % 49.45/49.66 (assume @p274 @t258) % 49.45/49.66 (assume @p275 (forall @t85 (=> @t259 @t40))) % 49.45/49.66 (assume @p276 (forall @t6 (=> @t37 (= (tptp.relation_dom @t207) @t199)))) % 49.45/49.66 (assume @p277 (forall @t6 (=> @t37 (= @t207 (tptp.relation_composition @t35 @t2))))) % 49.45/49.66 (assume @p278 (forall @t6 (=> @t37 (tptp.subset (tptp.relation_rng @t207) @t188)))) % 49.45/49.66 (assume @p279 (forall @t11 (= (tptp.union @t80) @t1))) % 49.45/49.66 (assume @p280 (forall @t11 (exists @t71 (and @t5 @t194 (forall @t59 (not (and @t72 (forall @t54 (not (and @t44 (forall @t52 (=> (tptp.subset @t41 @t29) @t67)))))))) @t192)))) % 49.45/49.66 (assume @p281 (forall @t85 (=> @t259 @t94))) % 49.45/49.66 (step @p282 :rule evaluate :args ((= true false))) % 49.45/49.66 (step @p283 :rule bool-impl-elim :args (@t48 @t183)) % 49.45/49.66 (step @p284 :rule cong :premises (@p283) :args (@t184)) % 49.45/49.66 (step @p285 :rule eq_resolve :premises (@p162 @p284)) % 49.45/49.66 (step @p286 :rule instantiate :premises (@p285) :args ((@list @t267 @t264 @t266))) % 49.45/49.66 (step @p287 :rule bool-impl-elim :args (@t16 @t135)) % 49.45/49.66 (step @p288 :rule cong :premises (@p287) :args (@t136)) % 49.45/49.66 (step @p289 :rule eq_resolve :premises (@p73 @p288)) % 49.45/49.66 (step @p290 :rule instantiate :premises (@p289) :args (@t268)) % 49.45/49.66 (step @p291 :rule aci_norm :args ((= (or @t261 (or @t260 @t212)) @t262))) % 49.45/49.66 (step @p292 :rule bool-impl-elim :args (@t213 @t212)) % 49.45/49.66 (step @p293 :rule refl :args (@t261)) % 49.45/49.66 (step @p294 :rule nary_cong :premises (@p293 @p292) :args ((or @t261 @t214))) % 49.45/49.66 (step @p295 :rule trans :premises (@p294 @p291)) % 49.45/49.66 (step @p296 :rule bool-impl-elim :args (@t48 @t214)) % 49.45/49.66 (step @p297 :rule trans :premises (@p296 @p295)) % 49.45/49.66 (step @p298 :rule cong :premises (@p297) :args (@t215)) % 49.45/49.66 (step @p299 :rule cong :premises (@p298) :args (@t216)) % 49.45/49.66 (step @p300 :rule eq_resolve :premises (@p188 @p299)) % 49.45/49.66 (step @p301 :rule skolemize :premises (@p300)) % 49.45/49.66 (step @p302 :rule bool-double-not-elim :args (@t269)) % 49.45/49.66 (step @p303 :rule refl :args (@t278)) % 49.45/49.66 (step @p304 :rule nary_cong :premises (@p303 @p302) :args ((or @t278 (not @t277)))) % 49.45/49.66 (step @p305 :rule cnf_or_neg :args (@t278 0)) % 49.45/49.66 (step @p306 :rule eq_resolve :premises (@p305 @p304)) % 49.45/49.66 (step @p307 :rule reordering :premises (@p306) :args ((or @t269 @t278))) % 49.45/49.66 (step @p308 :rule chain_m_resolution :premises (@p307 @p301) :args (@t269 @t279 @t280)) % 49.45/49.66 (step @p309 :rule cnf_or_pos :args (@t282)) % 49.45/49.66 (step @p310 :rule reordering :premises (@p309) :args ((or @t277 @t281 (not @t282)))) % 49.45/49.66 (step @p311 :rule chain_m_resolution :premises (@p310 @p308 @p290) :args (@t281 @t283 (@list @t269 @t282))) % 49.45/49.66 (step @p312 :rule cnf_or_pos :args (@t290)) % 49.45/49.66 (step @p313 :rule reordering :premises (@p312) :args ((or @t289 @t288 (not @t290)))) % 49.45/49.66 (step @p314 :rule chain_m_resolution :premises (@p313 @p311 @p286) :args (@t288 @t283 (@list @t281 @t290))) % 49.45/49.66 (step @p315 :rule eq-symm :args (@t168 @t5)) % 49.45/49.66 (step @p316 :rule cong :premises (@p315) :args (@t169)) % 49.45/49.66 (step @p317 :rule eq_resolve :premises (@p128 @p316)) % 49.45/49.66 (step @p318 :rule instantiate :premises (@p317) :args ((@list @t267 @t271))) % 49.45/49.66 (step @p319 :rule aci_norm :args ((= (or (or @t292 @t291) @t218) (or @t292 @t291 @t218)))) % 49.45/49.66 (step @p320 :rule refl :args (@t218)) % 49.45/49.66 (step @p321 :rule bool-and-de-morgan :args (@t39 @t220 true)) % 49.45/49.66 (step @p322 :rule nary_cong :premises (@p321 @p320) :args ((or (not @t221) @t218))) % 49.45/49.66 (step @p323 :rule trans :premises (@p322 @p319)) % 49.45/49.66 (step @p324 :rule bool-impl-elim :args (@t221 @t218)) % 49.45/49.66 (step @p325 :rule trans :premises (@p324 @p323)) % 49.45/49.66 (step @p326 :rule cong :premises (@p325) :args (@t222)) % 49.45/49.66 (step @p327 :rule eq_resolve :premises (@p192 @p326)) % 49.45/49.66 (step @p328 :rule instantiate :premises (@p327) :args ((@list @t293 @t274 @t271))) % 49.45/49.66 (step @p329 :rule aci_norm :args ((= (or (or @t292 @t294) @t256) (or @t292 @t294 @t256)))) % 49.45/49.66 (step @p330 :rule refl :args (@t256)) % 49.45/49.66 (step @p331 :rule bool-and-de-morgan :args (@t39 @t99 true)) % 49.45/49.66 (step @p332 :rule nary_cong :premises (@p331 @p330) :args ((or (not @t257) @t256))) % 49.45/49.66 (step @p333 :rule trans :premises (@p332 @p329)) % 49.45/49.66 (step @p334 :rule bool-impl-elim :args (@t257 @t256)) % 49.45/49.66 (step @p335 :rule trans :premises (@p334 @p333)) % 49.45/49.66 (step @p336 :rule cong :premises (@p335) :args (@t258)) % 49.45/49.66 (step @p337 :rule eq_resolve :premises (@p274 @p336)) % 49.45/49.66 (step @p338 :rule instantiate :premises (@p337) :args ((@list @t284 @t271 @t295))) % 49.45/49.66 (step @p339 :rule instantiate :premises (@p327) :args ((@list @t284 @t296 @t298))) % 49.45/49.66 (step @p340 :rule instantiate :premises (@p267) :args ((@list @t296 (tptp.set_difference @t298 @t296)))) % 49.45/49.66 (step @p341 :rule true_intro :premises (@p340)) % 49.45/49.66 (step @p342 :rule eq-symm :args (@t240 @t111)) % 49.45/49.66 (step @p343 :rule cong :premises (@p342) :args (@t241)) % 49.45/49.66 (step @p344 :rule eq_resolve :premises (@p226 @p343)) % 49.45/49.66 (step @p345 :rule instantiate :premises (@p344) :args (@t299)) % 49.45/49.66 (step @p346 :rule refl :args (@t296)) % 49.45/49.66 (step @p347 :rule cong :premises (@p346 @p345) :args ((tptp.set_union2 @t296 (tptp.set_difference @t297 @t296)))) % 49.45/49.66 (step @p348 :rule eq-symm :args (@t236 @t23)) % 49.45/49.66 (step @p349 :rule cong :premises (@p348) :args (@t237)) % 49.45/49.66 (step @p350 :rule eq_resolve :premises (@p220 @p349)) % 49.45/49.66 (step @p351 :rule instantiate :premises (@p350) :args ((@list @t296 @t297))) % 49.45/49.66 (step @p352 :rule instantiate :premises (@p10) :args (@t299)) % 49.45/49.66 (step @p353 :rule trans :premises (@p352 @p351 @p347)) % 49.45/49.66 (step @p354 :rule cong :premises (@p346 @p353) :args (@t300)) % 49.45/49.66 (step @p355 :rule trans :premises (@p354 @p341)) % 49.45/49.66 (step @p356 :rule true_elim :premises (@p355)) % 49.45/49.66 (step @p357 :rule aci_norm :args ((= @t307 (or @t305 @t304 @t303 @t302)))) % 49.45/49.66 (step @p358 :rule cong :premises (@p357) :args (@t308)) % 49.45/49.66 (step @p359 :rule quant-merge-prenex :args ((= (forall @t11 @t310) @t308))) % 49.45/49.66 (step @p360 :rule alpha_equiv :args (@t311 (@list @t301) @t312)) % 49.45/49.66 (step @p361 :rule refl :args (@t305)) % 49.45/49.66 (step @p362 :rule nary_cong :premises (@p361 @p360) :args (@t313)) % 49.45/49.66 (step @p363 :rule quant-miniscope-or :args ((= @t310 @t313))) % 49.45/49.66 (step @p364 :rule trans :premises (@p363 @p362)) % 49.45/49.66 (step @p365 :rule symm :premises (@p364)) % 49.45/49.66 (step @p366 :rule cong :premises (@p365) :args ((forall @t11 (or @t305 @t316)))) % 49.45/49.66 (step @p367 :rule trans :premises (@p366 @p359)) % 49.45/49.66 (step @p368 :rule trans :premises (@p367 @p358)) % 49.45/49.66 (step @p369 :rule bool-impl-elim :args (@t16 @t316)) % 49.45/49.66 (step @p370 :rule cong :premises (@p369) :args ((forall @t11 (=> @t16 @t316)))) % 49.45/49.66 (step @p371 :rule trans :premises (@p370 @p368)) % 49.45/49.66 (step @p372 :rule aci_norm :args ((= (or @t314 (or @t292 @t228)) @t315))) % 49.45/49.66 (step @p373 :rule bool-impl-elim :args (@t39 @t228)) % 49.45/49.66 (step @p374 :rule refl :args (@t314)) % 49.45/49.66 (step @p375 :rule nary_cong :premises (@p374 @p373) :args ((or @t314 @t229))) % 49.45/49.66 (step @p376 :rule trans :premises (@p375 @p372)) % 49.45/49.66 (step @p377 :rule bool-impl-elim :args (@t37 @t229)) % 49.45/49.66 (step @p378 :rule trans :premises (@p377 @p376)) % 49.45/49.66 (step @p379 :rule cong :premises (@p378) :args (@t230)) % 49.45/49.66 (step @p380 :rule refl :args (@t16)) % 49.45/49.66 (step @p381 :rule cong :premises (@p380 @p379) :args (@t231)) % 49.45/49.66 (step @p382 :rule cong :premises (@p381) :args (@t232)) % 49.45/49.66 (step @p383 :rule trans :premises (@p382 @p371)) % 49.45/49.66 (step @p384 :rule eq_resolve :premises (@p202 @p383)) % 49.45/49.66 (step @p385 :rule instantiate :premises (@p384) :args ((@list @t266 @t265))) % 49.45/49.66 (step @p386 :rule instantiate :premises (@p186) :args ((@list @t265 @t317))) % 49.45/49.66 (step @p387 :rule true_intro :premises (@p386)) % 49.45/49.66 (step @p388 :rule refl :args (@t265)) % 49.45/49.66 (step @p389 :rule quant-merge-prenex :args ((= (forall @t11 @t322) (forall (@list @t1 @t318) @t320)))) % 49.45/49.66 (step @p390 :rule alpha_equiv :args (@t323 (@list @t318) @t312)) % 49.45/49.66 (step @p391 :rule nary_cong :premises (@p361 @p390) :args (@t324)) % 49.45/49.66 (step @p392 :rule quant-miniscope-or :args ((= @t322 @t324))) % 49.45/49.66 (step @p393 :rule trans :premises (@p392 @p391)) % 49.45/49.66 (step @p394 :rule symm :premises (@p393)) % 49.45/49.66 (step @p395 :rule cong :premises (@p394) :args ((forall @t11 (or @t305 @t125)))) % 49.45/49.66 (step @p396 :rule trans :premises (@p395 @p389)) % 49.45/49.66 (step @p397 :rule bool-impl-elim :args (@t16 @t125)) % 49.45/49.66 (step @p398 :rule cong :premises (@p397) :args (@t126)) % 49.45/49.66 (step @p399 :rule trans :premises (@p398 @p396)) % 49.45/49.66 (step @p400 :rule eq_resolve :premises (@p60 @p399)) % 49.45/49.66 (step @p401 :rule instantiate :premises (@p400) :args (@t268)) % 49.45/49.66 (step @p402 :rule cnf_or_pos :args (@t326)) % 49.45/49.66 (step @p403 :rule reordering :premises (@p402) :args ((or @t277 @t325 (not @t326)))) % 49.45/49.66 (step @p404 :rule chain_m_resolution :premises (@p403 @p308 @p401) :args (@t325 @t283 (@list @t269 @t326))) % 49.45/49.66 (step @p405 :rule cong :premises (@p404 @p388) :args (@t327)) % 49.45/49.66 (step @p406 :rule trans :premises (@p405 @p387)) % 49.45/49.66 (step @p407 :rule true_elim :premises (@p406)) % 49.45/49.66 (step @p408 :rule cnf_or_pos :args (@t332)) % 49.45/49.66 (step @p409 :rule reordering :premises (@p408) :args ((or @t277 @t289 @t331 @t330 (not @t332)))) % 49.45/49.66 (step @p410 :rule chain_m_resolution :premises (@p409 @p308 @p311 @p407 @p385) :args (@t330 (@list false false false false) (@list @t269 @t281 @t327 @t332))) % 49.45/49.66 (step @p411 :rule cnf_and_pos :args (@t330 1)) % 49.45/49.66 (step @p412 :rule reordering :premises (@p411) :args ((or @t328 @t333))) % 49.45/49.66 (step @p413 :rule chain_m_resolution :premises (@p412 @p410) :args (@t328 @t334 @t335)) % 49.45/49.66 (step @p414 :rule cnf_or_pos :args (@t339)) % 49.45/49.66 (step @p415 :rule reordering :premises (@p414) :args ((or @t338 @t337 @t336 (not @t339)))) % 49.45/49.66 (step @p416 :rule chain_m_resolution :premises (@p415 @p413 @p356 @p339) :args (@t336 @t340 (@list @t328 @t300 @t339))) % 49.45/49.66 (step @p417 :rule true_intro :premises (@p416)) % 49.45/49.66 (step @p418 :rule bool-impl-elim :args (@t16 @t121)) % 49.45/49.66 (step @p419 :rule cong :premises (@p418) :args (@t122)) % 49.45/49.66 (step @p420 :rule eq_resolve :premises (@p58 @p419)) % 49.45/49.66 (step @p421 :rule instantiate :premises (@p420) :args ((@list @t265))) % 49.45/49.66 (step @p422 :rule cnf_or_pos :args (@t342)) % 49.45/49.66 (step @p423 :rule reordering :premises (@p422) :args ((or @t277 @t341 (not @t342)))) % 49.45/49.66 (step @p424 :rule chain_m_resolution :premises (@p423 @p308 @p421) :args (@t341 @t283 (@list @t269 @t342))) % 49.45/49.66 (step @p425 :rule refl :args (@t284)) % 49.45/49.66 (step @p426 :rule cong :premises (@p425 @p424) :args (@t343)) % 49.45/49.66 (step @p427 :rule trans :premises (@p426 @p417)) % 49.45/49.66 (step @p428 :rule true_elim :premises (@p427)) % 49.45/49.66 (step @p429 :rule instantiate :premises (@p327) :args ((@list @t295 @t297 @t271))) % 49.45/49.66 (step @p430 :rule cnf_and_pos :args (@t330 0)) % 49.45/49.66 (step @p431 :rule reordering :premises (@p430) :args ((or @t329 @t333))) % 49.45/49.66 (step @p432 :rule chain_m_resolution :premises (@p431 @p410) :args (@t329 @t334 @t335)) % 49.45/49.66 (step @p433 :rule instantiate :premises (@p267) :args (@t299)) % 49.45/49.66 (step @p434 :rule true_intro :premises (@p433)) % 49.45/49.66 (step @p435 :rule refl :args (@t297)) % 49.45/49.66 (step @p436 :rule cong :premises (@p435 @p424) :args (@t344)) % 49.45/49.66 (step @p437 :rule trans :premises (@p436 @p434)) % 49.45/49.66 (step @p438 :rule true_elim :premises (@p437)) % 49.45/49.66 (step @p439 :rule cnf_or_pos :args (@t348)) % 49.45/49.66 (step @p440 :rule reordering :premises (@p439) :args ((or @t346 @t347 @t345 (not @t348)))) % 49.45/49.66 (step @p441 :rule chain_m_resolution :premises (@p440 @p438 @p432 @p429) :args (@t345 @t340 (@list @t344 @t329 @t348))) % 49.45/49.66 (step @p442 :rule cnf_or_pos :args (@t352)) % 49.45/49.66 (step @p443 :rule reordering :premises (@p442) :args ((or @t350 @t351 @t349 (not @t352)))) % 49.45/49.66 (step @p444 :rule chain_m_resolution :premises (@p443 @p441 @p428 @p338) :args (@t349 @t340 (@list @t345 @t343 @t352))) % 49.45/49.66 (step @p445 :rule true_intro :premises (@p444)) % 49.45/49.66 (step @p446 :rule refl :args (@t271)) % 49.45/49.66 (step @p447 :rule instantiate :premises (@p10) :args ((@list @t295 @t284))) % 49.45/49.66 (step @p448 :rule instantiate :premises (@p420) :args ((@list @t266))) % 49.45/49.66 (step @p449 :rule cnf_or_pos :args (@t355)) % 49.45/49.66 (step @p450 :rule reordering :premises (@p449) :args ((or @t289 @t354 (not @t355)))) % 49.45/49.66 (step @p451 :rule chain_m_resolution :premises (@p450 @p311 @p448) :args (@t354 @t283 (@list @t281 @t355))) % 49.45/49.66 (step @p452 :rule trans :premises (@p451 @p447)) % 49.45/49.66 (step @p453 :rule cong :premises (@p452 @p446) :args (@t356)) % 49.45/49.66 (step @p454 :rule trans :premises (@p453 @p445)) % 49.45/49.66 (step @p455 :rule true_elim :premises (@p454)) % 49.45/49.66 (step @p456 :rule instantiate :premises (@p317) :args ((@list @t267 @t274))) % 49.45/49.66 (step @p457 :rule bool-double-not-elim :args (@t275)) % 49.45/49.66 (step @p458 :rule nary_cong :premises (@p303 @p457) :args ((or @t278 (not @t276)))) % 49.45/49.66 (step @p459 :rule cnf_or_neg :args (@t278 1)) % 49.45/49.66 (step @p460 :rule eq_resolve :premises (@p459 @p458)) % 49.45/49.66 (step @p461 :rule reordering :premises (@p460) :args ((or @t275 @t278))) % 49.45/49.66 (step @p462 :rule chain_m_resolution :premises (@p461 @p301) :args (@t275 @t279 @t280)) % 49.45/49.66 (step @p463 :rule cnf_equiv_pos1 :args (@t358)) % 49.45/49.66 (step @p464 :rule reordering :premises (@p463) :args ((or @t276 @t357 (not @t358)))) % 49.45/49.66 (step @p465 :rule chain_m_resolution :premises (@p464 @p462 @p456) :args (@t357 @t283 (@list @t275 @t358))) % 49.45/49.66 (step @p466 :rule cnf_or_pos :args (@t362)) % 49.45/49.66 (step @p467 :rule reordering :premises (@p466) :args ((or @t359 @t361 @t360 (not @t362)))) % 49.45/49.66 (step @p468 :rule chain_m_resolution :premises (@p467 @p465 @p455 @p328) :args (@t359 @t340 (@list @t357 @t356 @t362))) % 49.45/49.66 (step @p469 :rule cnf_equiv_pos2 :args (@t363)) % 49.45/49.66 (step @p470 :rule reordering :premises (@p469) :args ((or @t272 (not @t359) (not @t363)))) % 49.45/49.66 (step @p471 :rule chain_m_resolution :premises (@p470 @p468 @p318) :args (@t272 @t283 (@list @t359 @t363))) % 49.45/49.66 (step @p472 :rule cnf_or_neg :args (@t278 2)) % 49.45/49.66 (step @p473 :rule chain_m_resolution :premises (@p472 @p301) :args ((not @t273) @t279 @t280)) % 49.45/49.66 (step @p474 :rule cnf_and_neg :args (@t273)) % 49.45/49.66 (step @p475 :rule chain_m_resolution :premises (@p474 @p473 @p471) :args ((not @t270) @t364 (@list @t273 @t272))) % 49.45/49.66 (step @p476 :rule cnf_and_pos :args (@t286 0)) % 49.45/49.66 (step @p477 :rule reordering :premises (@p476) :args ((or @t270 @t365))) % 49.45/49.66 (step @p478 :rule chain_m_resolution :premises (@p477 @p475) :args (@t365 @t279 @t366)) % 49.45/49.66 (step @p479 :rule cnf_equiv_pos1 :args (@t288)) % 49.45/49.66 (step @p480 :rule reordering :premises (@p479) :args ((or @t286 @t367 (not @t288)))) % 49.45/49.66 (step @p481 :rule chain_m_resolution :premises (@p480 @p478 @p314) :args (@t367 @t364 (@list @t286 @t288))) % 49.45/49.66 (step @p482 :rule false_intro :premises (@p481)) % 49.45/49.66 (step @p483 :rule bool-impl-elim :args (@t37 @t205)) % 49.45/49.66 (step @p484 :rule cong :premises (@p483) :args (@t206)) % 49.45/49.66 (step @p485 :rule eq_resolve :premises (@p185 @p484)) % 49.45/49.66 (step @p486 :rule instantiate :premises (@p485) :args (@t368)) % 49.45/49.66 (step @p487 :rule cnf_or_pos :args (@t372)) % 49.45/49.66 (step @p488 :rule reordering :premises (@p487) :args ((or @t277 @t371 (not @t372)))) % 49.45/49.66 (step @p489 :rule chain_m_resolution :premises (@p488 @p308 @p486) :args (@t371 @t283 (@list @t269 @t372))) % 49.45/49.66 (step @p490 :rule symm :premises (@p489)) % 49.45/49.66 (step @p491 :rule refl :args (@t264)) % 49.45/49.66 (step @p492 :rule cong :premises (@p491 @p490) :args (@t373)) % 49.45/49.66 (step @p493 :rule cong :premises (@p492) :args (@t374)) % 49.45/49.66 (step @p494 :rule bool-impl-elim :args (@t37 @t190)) % 49.45/49.66 (step @p495 :rule cong :premises (@p494) :args (@t191)) % 49.45/49.66 (step @p496 :rule eq_resolve :premises (@p167 @p495)) % 49.45/49.66 (step @p497 :rule instantiate :premises (@p496) :args ((@list @t264 @t370))) % 49.45/49.66 (step @p498 :rule true_intro :premises (@p311)) % 49.45/49.66 (step @p499 :rule cong :premises (@p490) :args (@t375)) % 49.45/49.66 (step @p500 :rule trans :premises (@p499 @p498)) % 49.45/49.66 (step @p501 :rule true_elim :premises (@p500)) % 49.45/49.66 (step @p502 :rule cnf_or_pos :args (@t378)) % 49.45/49.66 (step @p503 :rule reordering :premises (@p502) :args ((or @t377 @t376 (not @t378)))) % 49.45/49.66 (step @p504 :rule chain_m_resolution :premises (@p503 @p501 @p497) :args (@t376 @t283 (@list @t375 @t378))) % 49.45/49.66 (step @p505 :rule symm :premises (@p504)) % 49.45/49.66 (step @p506 :rule cong :premises (@p489) :args (@t284)) % 49.45/49.66 (step @p507 :rule bool-impl-elim :args (@t37 @t208)) % 49.45/49.66 (step @p508 :rule cong :premises (@p507) :args (@t209)) % 49.45/49.66 (step @p509 :rule eq_resolve :premises (@p187 @p508)) % 49.45/49.66 (step @p510 :rule instantiate :premises (@p509) :args (@t368)) % 49.45/49.66 (step @p511 :rule cnf_or_pos :args (@t382)) % 49.45/49.66 (step @p512 :rule reordering :premises (@p511) :args ((or @t277 @t381 (not @t382)))) % 49.45/49.66 (step @p513 :rule chain_m_resolution :premises (@p512 @p308 @p510) :args (@t381 @t283 (@list @t269 @t382))) % 49.45/49.66 (step @p514 :rule symm :premises (@p513)) % 49.45/49.66 (step @p515 :rule cong :premises (@p514) :args (@t383)) % 49.45/49.66 (step @p516 :rule trans :premises (@p515 @p506)) % 49.45/49.66 (step @p517 :rule cong :premises (@p516 @p491) :args (@t384)) % 49.45/49.66 (step @p518 :rule bool-impl-elim :args (@t39 @t385)) % 49.45/49.66 (step @p519 :rule cong :premises (@p518) :args ((forall @t6 (=> @t39 @t385)))) % 49.45/49.66 (step @p520 :rule eq-symm :args (@t24 @t1)) % 49.45/49.66 (step @p521 :rule refl :args (@t39)) % 49.45/49.66 (step @p522 :rule cong :premises (@p521 @p520) :args (@t233)) % 49.45/49.66 (step @p523 :rule cong :premises (@p522) :args (@t234)) % 49.45/49.66 (step @p524 :rule trans :premises (@p523 @p519)) % 49.45/49.66 (step @p525 :rule eq_resolve :premises (@p204 @p524)) % 49.45/49.66 (step @p526 :rule instantiate :premises (@p525) :args ((@list @t383 @t264))) % 49.45/49.66 (step @p527 :rule bool-impl-elim :args (@t37 @t186)) % 49.45/49.66 (step @p528 :rule cong :premises (@p527) :args (@t187)) % 49.45/49.66 (step @p529 :rule eq_resolve :premises (@p163 @p528)) % 49.45/49.66 (step @p530 :rule instantiate :premises (@p529) :args ((@list @t264 @t379))) % 49.45/49.66 (step @p531 :rule bool-impl-elim :args (@t16 @t146)) % 49.45/49.66 (step @p532 :rule cong :premises (@p531) :args (@t147)) % 49.45/49.66 (step @p533 :rule eq_resolve :premises (@p81 @p532)) % 49.45/49.66 (step @p534 :rule instantiate :premises (@p533) :args (@t268)) % 49.45/49.66 (step @p535 :rule cnf_or_pos :args (@t387)) % 49.45/49.66 (step @p536 :rule reordering :premises (@p535) :args ((or @t277 @t386 (not @t387)))) % 49.45/49.66 (step @p537 :rule chain_m_resolution :premises (@p536 @p308 @p534) :args (@t386 @t283 (@list @t269 @t387))) % 49.45/49.66 (step @p538 :rule cnf_or_pos :args (@t390)) % 49.45/49.66 (step @p539 :rule reordering :premises (@p538) :args ((or @t389 @t388 (not @t390)))) % 49.45/49.66 (step @p540 :rule chain_m_resolution :premises (@p539 @p537 @p530) :args (@t388 @t283 (@list @t386 @t390))) % 49.45/49.66 (step @p541 :rule cnf_or_pos :args (@t393)) % 49.45/49.66 (step @p542 :rule reordering :premises (@p541) :args ((or @t392 @t391 (not @t393)))) % 49.45/49.66 (step @p543 :rule chain_m_resolution :premises (@p542 @p540 @p526) :args (@t391 @t283 (@list @t388 @t393))) % 49.45/49.66 (step @p544 :rule symm :premises (@p515)) % 49.45/49.66 (step @p545 :rule trans :premises (@p544 @p543 @p517 @p505 @p493)) % 49.45/49.66 (step @p546 :rule refl :args (@t267)) % 49.45/49.66 (step @p547 :rule cong :premises (@p546 @p545) :args (@t285)) % 49.45/49.66 (step @p548 :rule eq-symm :args (@t394 @t88)) % 49.45/49.66 (step @p549 :rule refl :args (@t88)) % 49.45/49.66 (step @p550 :rule eq-symm :args (@t29 @t23)) % 49.45/49.66 (step @p551 :rule cong :premises (@p550 @p549) :args (@t89)) % 49.45/49.66 (step @p552 :rule trans :premises (@p551 @p548)) % 49.45/49.68 (step @p553 :rule cong :premises (@p552) :args (@t90)) % 49.45/49.68 (step @p554 :rule eq_resolve :premises (@p37 @p553)) % 49.45/49.68 (step @p555 :rule eq-symm :args (@t395 @t354)) % 49.45/49.68 (step @p556 :rule eq-symm :args (@t353 @t274)) % 49.45/49.68 (step @p557 :rule refl :args (@t395)) % 49.45/49.68 (step @p558 :rule cong :premises (@p557 @p556) :args (@t396)) % 49.45/49.68 (step @p559 :rule trans :premises (@p558 @p555)) % 49.45/49.68 (step @p560 :rule refl :args (@t397)) % 49.45/49.68 (step @p561 :rule cong :premises (@p560 @p559) :args ((=> @t397 @t396))) % 49.45/49.68 (assume-push @p608 @t397) % 49.45/49.68 (step @p563 :rule instantiate :premises (@p554) :args ((@list @t295 @t284 @t274))) % 49.45/49.68 (step-pop @p609 :rule scope :premises (@p563)) % 49.45/49.68 (step @p564 :rule process_scope :premises (@p609) :args (@t396)) % 49.45/49.68 (step @p566 :rule eq_resolve :premises (@p564 @p561)) % 49.45/49.68 (step @p567 :rule implies_elim :premises (@p566)) % 49.45/49.68 (step @p568 :rule chain_m_resolution :premises (@p567 @p554) :args (@t398 @t334 (@list @t397))) % 49.45/49.68 (step @p569 :rule cnf_equiv_pos1 :args (@t398)) % 49.45/49.68 (step @p570 :rule reordering :premises (@p569) :args ((or (not @t354) @t395 (not @t398)))) % 49.45/49.68 (step @p571 :rule chain_m_resolution :premises (@p570 @p451 @p568) :args (@t395 @t283 (@list @t354 @t398))) % 49.45/49.68 (step @p572 :rule instantiate :premises (@p571) :args ((@list @t267))) % 49.45/49.68 (step @p573 :rule cnf_equiv_pos1 :args (@t401)) % 49.45/49.68 (step @p574 :rule reordering :premises (@p573) :args ((or @t276 @t400 (not @t401)))) % 49.45/49.68 (step @p575 :rule chain_m_resolution :premises (@p574 @p462 @p572) :args (@t400 @t283 (@list @t275 @t401))) % 49.45/49.68 (step @p576 :rule bool-impl-elim :args (@t48 @t254)) % 49.45/49.68 (step @p577 :rule cong :premises (@p576) :args (@t255)) % 49.45/49.68 (step @p578 :rule eq_resolve :premises (@p269 @p577)) % 49.45/49.68 (step @p579 :rule instantiate :premises (@p578) :args ((@list @t267 @t264 @t369))) % 49.45/49.68 (step @p580 :rule bool-impl-elim :args (@t37 @t148)) % 49.45/49.68 (step @p581 :rule cong :premises (@p580) :args (@t149)) % 49.45/49.68 (step @p582 :rule eq_resolve :premises (@p83 @p581)) % 49.45/49.68 (step @p583 :rule instantiate :premises (@p582) :args (@t368)) % 49.45/49.68 (step @p584 :rule cnf_or_pos :args (@t403)) % 49.45/49.68 (step @p585 :rule reordering :premises (@p584) :args ((or @t277 @t402 (not @t403)))) % 49.45/49.68 (step @p586 :rule chain_m_resolution :premises (@p585 @p308 @p583) :args (@t402 @t283 (@list @t269 @t403))) % 49.45/49.68 (step @p587 :rule cnf_or_pos :args (@t408)) % 49.45/49.68 (step @p588 :rule reordering :premises (@p587) :args ((or @t407 @t406 (not @t408)))) % 49.45/49.68 (step @p589 :rule chain_m_resolution :premises (@p588 @p586 @p579) :args (@t406 @t283 (@list @t402 @t408))) % 49.45/49.68 (step @p590 :rule cnf_and_pos :args (@t404 0)) % 49.45/49.68 (step @p591 :rule reordering :premises (@p590) :args ((or @t270 @t409))) % 49.45/49.68 (step @p592 :rule chain_m_resolution :premises (@p591 @p475) :args (@t409 @t279 @t366)) % 49.45/49.68 (step @p593 :rule cnf_equiv_pos1 :args (@t406)) % 49.45/49.68 (step @p594 :rule reordering :premises (@p593) :args ((or @t404 @t410 (not @t406)))) % 49.45/49.68 (step @p595 :rule chain_m_resolution :premises (@p594 @p592 @p589) :args (@t410 @t364 (@list @t404 @t406))) % 49.45/49.68 (step @p596 :rule false_intro :premises (@p595)) % 49.45/49.68 (step @p597 :rule cong :premises (@p489) :args (@t295)) % 49.45/49.68 (step @p598 :rule cong :premises (@p546 @p597) :args (@t399)) % 49.45/49.68 (step @p599 :rule trans :premises (@p598 @p596)) % 49.45/49.68 (step @p600 :rule false_elim :premises (@p599)) % 49.45/49.68 (step @p601 :rule cnf_or_pos :args (@t400)) % 49.45/49.68 (step @p602 :rule reordering :premises (@p601) :args ((or @t399 @t285 (not @t400)))) % 49.45/49.68 (step @p603 :rule chain_m_resolution :premises (@p602 @p600 @p575) :args (@t285 @t364 (@list @t399 @t400))) % 49.45/49.68 (step @p604 :rule true_intro :premises (@p603)) % 49.45/49.68 (step @p605 :rule symm :premises (@p604)) % 49.45/49.68 (step @p606 :rule trans :premises (@p605 @p547 @p482)) % 49.45/49.68 (step @p607 false :rule eq_resolve :premises (@p606 @p282)) % 49.45/49.68 ) % 49.45/49.68 % SZS output end Proof % 49.45/49.68 % cvc5 exiting %------------------------------------------------------------------------------