%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU244+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 : n008.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 0.39s 0.81s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU244+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n008.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:47:33 EDT 2026 % 0.16/0.35 % CPUTime : % 0.39/0.55 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.81 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.81 % SZS status Theorem % 0.39/0.81 % SZS output start Proof % 0.39/0.81 ( % 0.39/0.81 (declare-sort $$unsorted 0) % 0.39/0.81 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.well_orders (-> $$unsorted $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.function (-> $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.well_ordering (-> $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.39/0.81 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.81 (declare-const tptp.empty_set $$unsorted) % 0.39/0.81 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.81 (define @t1 () (@var "A" $$unsorted)) % 0.39/0.81 (define @t2 () (@var "B" $$unsorted)) % 0.39/0.81 (define @t3 () (tptp.in @t2 @t1)) % 0.39/0.81 (define @t4 () (not @t3)) % 0.39/0.81 (define @t5 () (tptp.in @t1 @t2)) % 0.39/0.81 (define @t6 () (@list @t1 @t2)) % 0.39/0.81 (define @t7 () (tptp.proper_subset @t2 @t1)) % 0.39/0.81 (define @t8 () (tptp.proper_subset @t1 @t2)) % 0.39/0.81 (define @t9 () (tptp.function @t1)) % 0.39/0.81 (define @t10 () (tptp.empty @t1)) % 0.39/0.81 (define @t11 () (@list @t1)) % 0.39/0.81 (define @t12 () (tptp.epsilon_connected @t1)) % 0.39/0.81 (define @t13 () (tptp.epsilon_transitive @t1)) % 0.39/0.81 (define @t14 () (and @t13 @t12)) % 0.39/0.81 (define @t15 () (tptp.ordinal @t1)) % 0.39/0.81 (define @t16 () (tptp.relation @t1)) % 0.39/0.81 (define @t17 () (tptp.one_to_one @t1)) % 0.39/0.81 (define @t18 () (and @t16 @t9 @t17)) % 0.39/0.81 (define @t19 () (and @t16 @t10 @t9)) % 0.39/0.81 (define @t20 () (and @t13 @t12 @t15)) % 0.39/0.81 (define @t21 () (tptp.unordered_pair @t1 @t2)) % 0.39/0.81 (define @t22 () (tptp.set_union2 @t2 @t1)) % 0.39/0.81 (define @t23 () (tptp.set_union2 @t1 @t2)) % 0.39/0.81 (define @t24 () (tptp.set_intersection2 @t1 @t2)) % 0.39/0.81 (define @t25 () (tptp.ordinal_subset @t1 @t2)) % 0.39/0.81 (define @t26 () (tptp.ordinal @t2)) % 0.39/0.81 (define @t27 () (and @t15 @t26)) % 0.39/0.81 (define @t28 () (@var "D" $$unsorted)) % 0.39/0.81 (define @t29 () (@var "C" $$unsorted)) % 0.39/0.81 (define @t30 () (= @t29 @t28)) % 0.39/0.81 (define @t31 () (tptp.in @t29 @t1)) % 0.39/0.81 (define @t32 () (tptp.ordered_pair @t29 @t28)) % 0.39/0.81 (define @t33 () (tptp.in @t32 @t2)) % 0.39/0.81 (define @t34 () (@list @t29 @t28)) % 0.39/0.81 (define @t35 () (tptp.identity_relation @t1)) % 0.39/0.81 (define @t36 () (= @t2 @t35)) % 0.39/0.81 (define @t37 () (tptp.relation @t2)) % 0.39/0.81 (define @t38 () (tptp.subset @t2 @t1)) % 0.39/0.81 (define @t39 () (tptp.subset @t1 @t2)) % 0.39/0.81 (define @t40 () (= @t1 @t2)) % 0.39/0.81 (define @t41 () (@var "E" $$unsorted)) % 0.39/0.81 (define @t42 () (tptp.ordered_pair @t28 @t41)) % 0.39/0.81 (define @t43 () (tptp.in @t42 @t1)) % 0.39/0.81 (define @t44 () (tptp.in @t28 @t2)) % 0.39/0.81 (define @t45 () (tptp.in @t42 @t29)) % 0.39/0.81 (define @t46 () (@list @t28 @t41)) % 0.39/0.81 (define @t47 () (tptp.relation_dom_restriction @t1 @t2)) % 0.39/0.81 (define @t48 () (tptp.relation @t29)) % 0.39/0.81 (define @t49 () (@list @t2 @t29)) % 0.39/0.81 (define @t50 () (tptp.in @t41 @t2)) % 0.39/0.81 (define @t51 () (tptp.relation_dom @t1)) % 0.39/0.81 (define @t52 () (@list @t41)) % 0.39/0.81 (define @t53 () (tptp.in @t28 @t29)) % 0.39/0.81 (define @t54 () (@list @t28)) % 0.39/0.81 (define @t55 () (= @t29 (tptp.relation_image @t1 @t2))) % 0.39/0.81 (define @t56 () (and @t16 @t9)) % 0.39/0.81 (define @t57 () (tptp.in @t41 @t1)) % 0.39/0.81 (define @t58 () (tptp.relation_rng_restriction @t1 @t2)) % 0.39/0.81 (define @t59 () (@list @t29)) % 0.39/0.81 (define @t60 () (tptp.relation_field @t1)) % 0.39/0.81 (define @t61 () (tptp.antisymmetric @t1)) % 0.39/0.81 (define @t62 () (= @t61 (tptp.is_antisymmetric_in @t1 @t60))) % 0.39/0.81 (define @t63 () (forall @t11 (=> @t16 @t62))) % 0.39/0.81 (define @t64 () (tptp.apply @t1 @t28)) % 0.39/0.81 (define @t65 () (tptp.in @t28 @t51)) % 0.39/0.81 (define @t66 () (= @t29 (tptp.relation_inverse_image @t1 @t2))) % 0.39/0.81 (define @t67 () (tptp.connected @t1)) % 0.39/0.81 (define @t68 () (= @t67 (tptp.is_connected_in @t1 @t60))) % 0.39/0.81 (define @t69 () (forall @t11 (=> @t16 @t68))) % 0.39/0.81 (define @t70 () (tptp.transitive @t1)) % 0.39/0.81 (define @t71 () (= @t70 (tptp.is_transitive_in @t1 @t60))) % 0.39/0.81 (define @t72 () (forall @t11 (=> @t16 @t71))) % 0.39/0.81 (define @t73 () (tptp.in @t41 @t28)) % 0.39/0.81 (define @t74 () (@list @t1 @t2 @t29 @t28)) % 0.39/0.81 (define @t75 () (tptp.singleton @t1)) % 0.39/0.81 (define @t76 () (tptp.succ @t1)) % 0.39/0.81 (define @t77 () (@list @t2)) % 0.39/0.81 (define @t78 () (tptp.in @t29 @t2)) % 0.39/0.81 (define @t79 () (tptp.is_reflexive_in @t1 @t2)) % 0.39/0.81 (define @t80 () (= @t2 tptp.empty_set)) % 0.39/0.81 (define @t81 () (= @t2 (tptp.set_meet @t1))) % 0.39/0.81 (define @t82 () (= @t1 tptp.empty_set)) % 0.39/0.81 (define @t83 () (tptp.in @t29 @t28)) % 0.39/0.81 (define @t84 () (tptp.in @t28 @t1)) % 0.39/0.81 (define @t85 () (not @t82)) % 0.39/0.81 (define @t86 () (tptp.powerset @t1)) % 0.39/0.81 (define @t87 () (tptp.in @t32 @t1)) % 0.39/0.81 (define @t88 () (tptp.empty @t2)) % 0.39/0.81 (define @t89 () (tptp.element @t2 @t1)) % 0.39/0.81 (define @t90 () (not @t10)) % 0.39/0.81 (define @t91 () (@list @t1 @t2 @t29)) % 0.39/0.81 (define @t92 () (not @t80)) % 0.39/0.81 (define @t93 () (tptp.well_founded_relation @t1)) % 0.39/0.81 (define @t94 () (@var "F" $$unsorted)) % 0.39/0.81 (define @t95 () (tptp.cartesian_product2 @t1 @t2)) % 0.39/0.81 (define @t96 () (not @t78)) % 0.39/0.81 (define @t97 () (= @t2 @t29)) % 0.39/0.81 (define @t98 () (not @t97)) % 0.39/0.81 (define @t99 () (tptp.in @t2 @t29)) % 0.39/0.81 (define @t100 () (forall @t59 (=> @t31 @t78))) % 0.39/0.81 (define @t101 () (= @t29 tptp.empty_set)) % 0.39/0.81 (define @t102 () (tptp.subset @t29 @t2)) % 0.39/0.81 (define @t103 () (tptp.is_well_founded_in @t1 @t2)) % 0.39/0.81 (define @t104 () (tptp.apply @t1 @t2)) % 0.39/0.81 (define @t105 () (= @t29 @t104)) % 0.39/0.81 (define @t106 () (tptp.in @t2 @t51)) % 0.39/0.81 (define @t107 () (tptp.in (tptp.ordered_pair @t2 @t29) @t1)) % 0.39/0.81 (define @t108 () (tptp.in (tptp.ordered_pair @t28 @t29) @t1)) % 0.39/0.81 (define @t109 () (tptp.is_antisymmetric_in @t1 @t2)) % 0.39/0.81 (define @t110 () (tptp.cast_to_subset @t1)) % 0.39/0.81 (define @t111 () (tptp.union @t1)) % 0.39/0.81 (define @t112 () (tptp.reflexive @t1)) % 0.39/0.81 (define @t113 () (tptp.well_ordering @t1)) % 0.39/0.81 (define @t114 () (= @t113 (and @t112 @t70 @t61 @t67 @t93))) % 0.39/0.81 (define @t115 () (forall @t11 (=> @t16 @t114))) % 0.39/0.81 (define @t116 () (tptp.set_difference @t1 @t2)) % 0.39/0.81 (define @t117 () (and @t65 (= @t29 @t64))) % 0.39/0.81 (define @t118 () (tptp.relation_rng @t1)) % 0.39/0.81 (define @t119 () (= @t2 @t118)) % 0.39/0.81 (define @t120 () (tptp.subset_complement @t1 @t2)) % 0.39/0.81 (define @t121 () (tptp.element @t2 @t86)) % 0.39/0.81 (define @t122 () (tptp.ordered_pair @t1 @t2)) % 0.39/0.81 (define @t123 () (tptp.is_connected_in @t1 @t2)) % 0.39/0.81 (define @t124 () (tptp.is_transitive_in @t1 @t2)) % 0.39/0.81 (define @t125 () (forall @t77 (= (tptp.well_orders @t1 @t2) (and @t79 @t124 @t109 @t123 @t103)))) % 0.39/0.81 (define @t126 () (forall @t11 (=> @t16 @t125))) % 0.39/0.81 (define @t127 () (tptp.being_limit_ordinal @t1)) % 0.39/0.81 (define @t128 () (tptp.relation_inverse @t1)) % 0.39/0.81 (define @t129 () (tptp.disjoint @t1 @t2)) % 0.39/0.81 (define @t130 () (tptp.relation_composition @t1 @t2)) % 0.39/0.81 (define @t131 () (tptp.complements_of_subsets @t1 @t2)) % 0.39/0.81 (define @t132 () (tptp.powerset @t86)) % 0.39/0.81 (define @t133 () (tptp.element @t2 @t132)) % 0.39/0.81 (define @t134 () (not @t40)) % 0.39/0.81 (define @t135 () (tptp.function_inverse @t1)) % 0.39/0.81 (define @t136 () (= @t112 (tptp.is_reflexive_in @t1 @t60))) % 0.39/0.81 (define @t137 () (forall @t11 (=> @t16 @t136))) % 0.39/0.81 (define @t138 () (tptp.relation @t128)) % 0.39/0.81 (define @t139 () (tptp.relation @t130)) % 0.39/0.81 (define @t140 () (and @t16 @t37)) % 0.39/0.81 (define @t141 () (tptp.union_of_subsets @t1 @t2)) % 0.39/0.81 (define @t142 () (tptp.relation @t35)) % 0.39/0.81 (define @t143 () (tptp.meet_of_subsets @t1 @t2)) % 0.39/0.81 (define @t144 () (tptp.subset_difference @t1 @t2 @t29)) % 0.39/0.81 (define @t145 () (tptp.element @t29 @t86)) % 0.39/0.81 (define @t146 () (and @t121 @t145)) % 0.39/0.81 (define @t147 () (tptp.relation @t47)) % 0.39/0.81 (define @t148 () (tptp.relation_composition @t2 @t1)) % 0.39/0.81 (define @t149 () (and @t10 @t37)) % 0.39/0.81 (define @t150 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.39/0.81 (define @t151 () (tptp.relation tptp.empty_set)) % 0.39/0.81 (define @t152 () (tptp.empty tptp.empty_set)) % 0.39/0.81 (define @t153 () (tptp.relation_empty_yielding @t1)) % 0.39/0.81 (define @t154 () (and @t16 @t153)) % 0.39/0.81 (define @t155 () (tptp.function @t2)) % 0.39/0.81 (define @t156 () (not (tptp.empty @t76))) % 0.39/0.81 (define @t157 () (not @t88)) % 0.39/0.81 (define @t158 () (tptp.empty @t51)) % 0.39/0.81 (define @t159 () (and @t90 @t16)) % 0.39/0.81 (define @t160 () (tptp.empty @t118)) % 0.39/0.81 (define @t161 () (tptp.in @t2 @t60)) % 0.39/0.81 (define @t162 () (tptp.disjoint @t75 @t2)) % 0.39/0.81 (define @t163 () (not @t5)) % 0.39/0.81 (define @t164 () (tptp.in (tptp.ordered_pair @t29 @t2) @t1)) % 0.39/0.81 (define @t165 () (not @t107)) % 0.39/0.81 (define @t166 () (tptp.singleton @t2)) % 0.39/0.81 (define @t167 () (tptp.union @t2)) % 0.39/0.81 (define @t168 () (tptp.in @t1 @t29)) % 0.39/0.81 (define @t169 () (tptp.element @t1 (tptp.powerset @t2))) % 0.39/0.81 (define @t170 () (tptp.relation_dom @t29)) % 0.39/0.81 (define @t171 () (tptp.relation_dom_restriction @t29 @t1)) % 0.39/0.81 (define @t172 () (tptp.in @t2 (tptp.relation_dom @t171))) % 0.39/0.81 (define @t173 () (and @t48 (tptp.function @t29))) % 0.39/0.81 (define @t174 () (tptp.set_difference @t2 @t29)) % 0.39/0.81 (define @t175 () (= @t1 @t29)) % 0.39/0.81 (define @t176 () (tptp.relation_rng @t29)) % 0.39/0.81 (define @t177 () (tptp.relation_rng @t58)) % 0.39/0.81 (define @t178 () (tptp.relation_rng @t2)) % 0.39/0.81 (define @t179 () (tptp.cartesian_product2 @t1 @t29)) % 0.39/0.81 (define @t180 () (forall @t59 (not (and @t102 (not (tptp.are_equipotent @t29 @t2)) @t96)))) % 0.39/0.81 (define @t181 () (tptp.powerset @t29)) % 0.39/0.81 (define @t182 () (forall @t34 (=> (and @t78 (tptp.subset @t28 @t29)) @t44))) % 0.39/0.81 (define @t183 () (tptp.relation_dom_restriction @t29 @t2)) % 0.39/0.81 (define @t184 () (tptp.relation_image @t2 @t1)) % 0.39/0.81 (define @t185 () (tptp.relation_inverse_image @t2 @t1)) % 0.39/0.81 (define @t186 () (tptp.relation_image @t2 @t185)) % 0.39/0.81 (define @t187 () (and @t37 @t155)) % 0.39/0.81 (define @t188 () (tptp.relation_dom @t2)) % 0.39/0.81 (define @t189 () (tptp.set_intersection2 @t188 @t1)) % 0.39/0.81 (define @t190 () (tptp.subset @t1 @t178)) % 0.39/0.81 (define @t191 () (tptp.relation_rng @t130)) % 0.39/0.81 (define @t192 () (tptp.relation_inverse_image @t29 @t2)) % 0.39/0.81 (define @t193 () (tptp.set_intersection2 @t2 @t29)) % 0.39/0.81 (define @t194 () (tptp.subset @t1 @t29)) % 0.39/0.81 (define @t195 () (tptp.element @t1 @t2)) % 0.39/0.81 (define @t196 () (tptp.in @t1 @t170)) % 0.39/0.81 (define @t197 () (tptp.in @t122 @t29)) % 0.39/0.81 (define @t198 () (tptp.apply @t29 @t1)) % 0.39/0.81 (define @t199 () (tptp.relation_composition @t29 @t2)) % 0.39/0.81 (define @t200 () (tptp.in @t1 (tptp.relation_dom @t199))) % 0.39/0.81 (define @t201 () (tptp.relation_field @t29)) % 0.39/0.81 (define @t202 () (tptp.apply @t2 @t29)) % 0.39/0.81 (define @t203 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.39/0.81 (define @t204 () (and @t31 @t78)) % 0.39/0.81 (define @t205 () (not @t129)) % 0.39/0.81 (define @t206 () (tptp.succ @t2)) % 0.39/0.81 (define @t207 () (= @t1 @t206)) % 0.39/0.81 (define @t208 () (tptp.subset_complement @t1 @t29)) % 0.39/0.81 (define @t209 () (tptp.disjoint @t2 @t29)) % 0.39/0.81 (define @t210 () (tptp.relation_dom @t130)) % 0.39/0.81 (define @t211 () (tptp.element @t2 @t181)) % 0.39/0.81 (define @t212 () (tptp.in @t29 @t24)) % 0.39/0.81 (define @t213 () (and (tptp.in @t29 @t118) (= @t28 @t202))) % 0.39/0.81 (define @t214 () (tptp.function_inverse @t2)) % 0.39/0.81 (define @t215 () (= @t93 (tptp.is_well_founded_in @t1 @t60))) % 0.39/0.81 (define @t216 () (forall @t11 (=> @t16 @t215))) % 0.39/0.81 (define @t217 () (= @t118 tptp.empty_set)) % 0.39/0.81 (define @t218 () (= @t51 tptp.empty_set)) % 0.39/0.81 (define @t219 () (= (tptp.apply @t171 @t2) (tptp.apply @t29 @t2))) % 0.39/0.81 (define @t220 () (tptp.relation_dom_restriction @t2 @t1)) % 0.39/0.81 (define @t221 () (tptp.well_orders @t1 @t60)) % 0.39/0.81 (define @t222 () (=> @t16 (= @t221 @t113))) % 0.39/0.81 (define @t223 () (forall @t11 @t222)) % 0.39/0.81 (define @t224 () (not @t223)) % 0.39/0.81 (define @t225 () (= @t75 (tptp.unordered_pair @t2 @t29))) % 0.39/0.81 (define @t226 () (= @t113 @t221)) % 0.39/0.81 (define @t227 () (not @t16)) % 0.39/0.81 (define @t228 () (@quantifiers_skolemize (forall @t11 (or @t227 @t226)) 0)) % 0.39/0.81 (define @t229 () (@list @t228)) % 0.39/0.81 (define @t230 () (tptp.relation @t228)) % 0.39/0.81 (define @t231 () (tptp.relation_field @t228)) % 0.39/0.81 (define @t232 () (tptp.well_orders @t228 @t231)) % 0.39/0.81 (define @t233 () (tptp.well_ordering @t228)) % 0.39/0.81 (define @t234 () (= @t233 @t232)) % 0.39/0.81 (define @t235 () (not @t230)) % 0.39/0.81 (define @t236 () (or @t235 @t234)) % 0.39/0.81 (define @t237 () (@list true)) % 0.39/0.81 (define @t238 () (@list @t236)) % 0.39/0.81 (define @t239 () (tptp.is_antisymmetric_in @t228 @t231)) % 0.39/0.81 (define @t240 () (tptp.antisymmetric @t228)) % 0.39/0.81 (define @t241 () (= @t240 @t239)) % 0.39/0.81 (define @t242 () (or @t235 @t241)) % 0.39/0.81 (define @t243 () (@list false false)) % 0.39/0.81 (define @t244 () (@var "BOUND_VARIABLE_9744" $$unsorted)) % 0.39/0.81 (define @t245 () (= (tptp.well_orders @t1 @t244) (and (tptp.is_reflexive_in @t1 @t244) (tptp.is_transitive_in @t1 @t244) (tptp.is_antisymmetric_in @t1 @t244) (tptp.is_connected_in @t1 @t244) (tptp.is_well_founded_in @t1 @t244)))) % 0.39/0.81 (define @t246 () (or @t227 @t245)) % 0.39/0.81 (define @t247 () (@list @t244)) % 0.39/0.81 (define @t248 () (forall @t247 @t246)) % 0.39/0.81 (define @t249 () (forall @t247 @t245)) % 0.39/0.81 (define @t250 () (or @t227 @t249)) % 0.39/0.81 (define @t251 () (tptp.is_well_founded_in @t228 @t231)) % 0.39/0.81 (define @t252 () (tptp.is_connected_in @t228 @t231)) % 0.39/0.81 (define @t253 () (tptp.is_transitive_in @t228 @t231)) % 0.39/0.81 (define @t254 () (tptp.is_reflexive_in @t228 @t231)) % 0.39/0.81 (define @t255 () (and @t254 @t253 @t239 @t252 @t251)) % 0.39/0.81 (define @t256 () (= @t232 @t255)) % 0.39/0.81 (define @t257 () (or @t235 @t256)) % 0.39/0.81 (define @t258 () (tptp.well_founded_relation @t228)) % 0.39/0.81 (define @t259 () (tptp.connected @t228)) % 0.39/0.81 (define @t260 () (tptp.transitive @t228)) % 0.39/0.81 (define @t261 () (tptp.reflexive @t228)) % 0.39/0.81 (define @t262 () (and @t261 @t260 @t240 @t259 @t258)) % 0.39/0.81 (define @t263 () (= @t233 @t262)) % 0.39/0.81 (define @t264 () (or @t235 @t263)) % 0.39/0.81 (define @t265 () (not @t263)) % 0.39/0.81 (define @t266 () (not @t233)) % 0.39/0.81 (define @t267 () (not @t256)) % 0.39/0.81 (define @t268 () (not @t255)) % 0.39/0.81 (define @t269 () (not @t262)) % 0.39/0.81 (define @t270 () (= @t261 @t254)) % 0.39/0.81 (define @t271 () (or @t235 @t270)) % 0.39/0.81 (define @t272 () (not @t270)) % 0.39/0.81 (define @t273 () (not @t261)) % 0.39/0.81 (define @t274 () (= @t260 @t253)) % 0.39/0.81 (define @t275 () (or @t235 @t274)) % 0.39/0.81 (define @t276 () (not @t274)) % 0.39/0.81 (define @t277 () (not @t260)) % 0.39/0.81 (define @t278 () (not @t241)) % 0.39/0.81 (define @t279 () (not @t240)) % 0.39/0.81 (define @t280 () (= @t259 @t252)) % 0.39/0.81 (define @t281 () (or @t235 @t280)) % 0.39/0.81 (define @t282 () (not @t280)) % 0.39/0.81 (define @t283 () (not @t259)) % 0.39/0.81 (define @t284 () (= @t258 @t251)) % 0.39/0.81 (define @t285 () (or @t235 @t284)) % 0.39/0.81 (define @t286 () (not @t284)) % 0.39/0.81 (define @t287 () (not @t258)) % 0.39/0.81 (define @t288 () (not @t251)) % 0.39/0.81 (define @t289 () (not @t254)) % 0.39/0.81 (define @t290 () (not @t253)) % 0.39/0.81 (define @t291 () (not @t252)) % 0.39/0.81 (define @t292 () (not @t239)) % 0.39/0.81 (define @t293 () (@list false)) % 0.39/0.81 (define @t294 () (@list @t255)) % 0.39/0.81 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.39/0.81 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 0.39/0.81 (assume @p3 (forall @t11 (=> @t10 @t9))) % 0.39/0.81 (assume @p4 (forall @t11 (=> @t15 @t14))) % 0.39/0.81 (assume @p5 (forall @t11 (=> @t10 @t16))) % 0.39/0.81 (assume @p6 (forall @t11 (=> @t19 @t18))) % 0.39/0.81 (assume @p7 (forall @t11 (=> @t14 @t15))) % 0.39/0.81 (assume @p8 (forall @t11 (=> @t10 @t20))) % 0.39/0.81 (assume @p9 (forall @t6 (= @t21 (tptp.unordered_pair @t2 @t1)))) % 0.39/0.81 (assume @p10 (forall @t6 (= @t23 @t22))) % 0.39/0.81 (assume @p11 (forall @t6 (= @t24 (tptp.set_intersection2 @t2 @t1)))) % 0.39/0.81 (assume @p12 (forall @t6 (=> @t27 (or @t25 (tptp.ordinal_subset @t2 @t1))))) % 0.39/0.81 (assume @p13 (forall @t6 (=> @t37 (= @t36 (forall @t34 (= @t33 (and @t31 @t30))))))) % 0.39/0.81 (assume @p14 (forall @t6 (= @t40 (and @t39 @t38)))) % 0.39/0.81 (assume @p15 (forall @t11 (=> @t16 (forall @t49 (=> @t48 (= (= @t29 @t47) (forall @t46 (= @t45 (and @t44 @t43))))))))) % 0.39/0.81 (assume @p16 (forall @t11 (=> @t56 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in @t41 @t51) @t50 (= @t28 (tptp.apply @t1 @t41))))))))))) % 0.39/0.81 (assume @p17 (forall @t6 (=> @t37 (forall @t59 (=> @t48 (= (= @t29 @t58) (forall @t46 (= @t45 (and @t57 (tptp.in @t42 @t2)))))))))) % 0.39/0.81 (assume @p18 @t63) % 0.39/0.81 (assume @p19 (forall @t11 (=> @t56 (forall @t49 (= @t66 (forall @t54 (= @t53 (and @t65 (tptp.in @t64 @t2))))))))) % 0.39/0.81 (assume @p20 (forall @t11 (=> @t16 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in (tptp.ordered_pair @t41 @t28) @t1) @t50))))))))) % 0.39/0.81 (assume @p21 (forall @t11 (=> @t16 (forall @t49 (= @t66 (forall @t54 (= @t53 (exists @t52 (and @t43 @t50))))))))) % 0.39/0.81 (assume @p22 @t69) % 0.39/0.81 (assume @p23 @t72) % 0.39/0.81 (assume @p24 (forall @t74 (= (= @t28 (tptp.unordered_triple @t1 @t2 @t29)) (forall @t52 (= @t73 (not (and (not (= @t41 @t1)) (not (= @t41 @t2)) (not (= @t41 @t29))))))))) % 0.39/0.81 (assume @p25 (forall @t11 (= @t76 (tptp.set_union2 @t1 @t75)))) % 0.39/0.81 (assume @p26 (forall @t11 (= @t16 (forall @t77 (not (and @t3 (forall @t34 (not (= @t2 @t32))))))))) % 0.39/0.81 (assume @p27 (forall @t11 (=> @t16 (forall @t77 (= @t79 (forall @t59 (=> @t78 (tptp.in (tptp.ordered_pair @t29 @t29) @t1)))))))) % 0.39/0.81 (assume @p28 (forall @t6 (and (=> @t85 (= @t81 (forall @t59 (= @t78 (forall @t54 (=> @t84 @t83)))))) (=> @t82 (= @t81 @t80))))) % 0.39/0.81 (assume @p29 (forall @t6 (= (= @t2 @t75) (forall @t59 (= @t78 (= @t29 @t1)))))) % 0.39/0.81 (assume @p30 (forall @t11 (= @t82 (forall @t77 @t4)))) % 0.39/0.81 (assume @p31 (forall @t6 (= (= @t2 @t86) (forall @t59 (= @t78 (tptp.subset @t29 @t1)))))) % 0.39/0.81 (assume @p32 (forall @t11 (= @t13 (forall @t77 (=> @t3 @t38))))) % 0.39/0.81 (assume @p33 (forall @t11 (=> @t16 (forall @t77 (=> @t37 (= @t40 (forall @t34 (= @t87 @t33)))))))) % 0.39/0.81 (assume @p34 (forall @t6 (and (=> @t90 (= @t89 @t3)) (=> @t10 (= @t89 @t88))))) % 0.39/0.81 (assume @p35 (forall @t91 (= (= @t29 @t21) (forall @t54 (= @t53 (or (= @t28 @t1) (= @t28 @t2))))))) % 0.39/0.81 (assume @p36 (forall @t11 (=> @t16 (= @t93 (forall @t77 (not (and (tptp.subset @t2 @t60) @t92 (forall @t59 (not (and @t78 (tptp.disjoint (tptp.fiber @t1 @t29) @t2))))))))))) % 0.39/0.81 (assume @p37 (forall @t91 (= (= @t29 @t23) (forall @t54 (= @t53 (or @t84 @t44)))))) % 0.39/0.81 (assume @p38 (forall @t91 (= (= @t29 @t95) (forall @t54 (= @t53 (exists (@list @t41 @t94) (and @t57 (tptp.in @t94 @t2) (= @t28 (tptp.ordered_pair @t41 @t94))))))))) % 0.39/0.81 (assume @p39 (forall @t11 (= @t12 (forall @t49 (not (and @t3 @t31 (not @t99) @t98 @t96)))))) % 0.39/0.81 (assume @p40 (forall @t11 (=> @t16 (forall @t77 (=> @t37 (= @t39 (forall @t34 (=> @t87 @t33)))))))) % 0.39/0.81 (assume @p41 (forall @t6 (= @t39 @t100))) % 0.39/0.81 (assume @p42 (forall @t11 (=> @t16 (forall @t77 (= @t103 (forall @t59 (not (and @t102 (not @t101) (forall @t54 (not (and @t53 (tptp.disjoint (tptp.fiber @t1 @t28) @t29)))))))))))) % 0.39/0.81 (assume @p43 (forall @t91 (= (= @t29 @t24) (forall @t54 (= @t53 (and @t84 @t44)))))) % 0.39/0.81 (assume @p44 (forall @t11 (=> @t56 (forall @t49 (and (=> @t106 (= @t105 @t107)) (=> (not @t106) (= @t105 @t101))))))) % 0.39/0.81 (assume @p45 (forall @t11 (= @t15 @t14))) % 0.39/0.81 (assume @p46 (forall @t11 (=> @t16 (forall @t77 (= (= @t2 @t51) (forall @t59 (= @t78 (exists @t54 @t87)))))))) % 0.39/0.81 (assume @p47 (forall @t11 (=> @t16 (forall @t77 (= @t109 (forall @t34 (=> (and @t78 @t44 @t87 @t108) @t30))))))) % 0.39/0.81 (assume @p48 (forall @t11 (= @t110 @t1))) % 0.39/0.81 (assume @p49 (forall @t6 (= (= @t2 @t111) (forall @t59 (= @t78 (exists @t54 (and @t83 @t84))))))) % 0.39/0.81 (assume @p50 @t115) % 0.39/0.81 (assume @p51 (forall @t91 (= (= @t29 @t116) (forall @t54 (= @t53 (and @t84 (not @t44))))))) % 0.39/0.81 (assume @p52 (forall @t11 (=> @t56 (forall @t77 (= @t119 (forall @t59 (= @t78 (exists @t54 @t117)))))))) % 0.39/0.81 (assume @p53 (forall @t11 (=> @t16 (forall @t77 (= @t119 (forall @t59 (= @t78 (exists @t54 @t108)))))))) % 0.39/0.81 (assume @p54 (forall @t6 (=> @t121 (= @t120 @t116)))) % 0.39/0.81 (assume @p55 (forall @t6 (= @t122 (tptp.unordered_pair @t21 @t75)))) % 0.39/0.81 (assume @p56 @t126) % 0.39/0.81 (assume @p57 (forall @t11 (= @t127 (= @t1 @t111)))) % 0.39/0.81 (assume @p58 (forall @t11 (=> @t16 (= @t60 (tptp.set_union2 @t51 @t118))))) % 0.39/0.81 (assume @p59 (forall @t11 (=> @t16 (forall @t77 (= @t123 (forall @t34 (not (and @t78 @t44 (not @t30) (not @t87) (not @t108))))))))) % 0.39/0.81 (assume @p60 (forall @t11 (=> @t16 (forall @t77 (=> @t37 (= (= @t2 @t128) (forall @t34 (= @t33 @t108)))))))) % 0.39/0.81 (assume @p61 (forall @t6 (= @t129 (= @t24 tptp.empty_set)))) % 0.39/0.81 (assume @p62 (forall @t11 (=> @t56 (= @t17 (forall @t49 (=> (and @t106 (tptp.in @t29 @t51) (= @t104 (tptp.apply @t1 @t29))) @t97)))))) % 0.39/0.81 (assume @p63 (forall @t11 (=> @t16 (forall @t77 (=> @t37 (forall @t59 (=> @t48 (= (= @t29 @t130) (forall @t46 (= @t45 (exists (@list @t94) (and (tptp.in (tptp.ordered_pair @t28 @t94) @t1) (tptp.in (tptp.ordered_pair @t94 @t41) @t2))))))))))))) % 0.39/0.81 (assume @p64 (forall @t11 (=> @t16 (forall @t77 (= @t124 (forall (@list @t29 @t28 @t41) (=> (and @t78 @t44 @t50 @t87 @t43) (tptp.in (tptp.ordered_pair @t29 @t41) @t1)))))))) % 0.39/0.81 (assume @p65 (forall @t6 (=> @t133 (forall @t59 (=> (tptp.element @t29 @t132) (= (= @t29 @t131) (forall @t54 (=> (tptp.element @t28 @t86) (= @t53 (tptp.in (tptp.subset_complement @t1 @t28) @t2)))))))))) % 0.39/0.81 (assume @p66 (forall @t6 (= @t8 (and @t39 @t134)))) % 0.39/0.81 (assume @p67 (forall @t11 (=> @t56 (=> @t17 (= @t135 @t128))))) % 0.39/0.81 (assume @p68 @t137) % 0.39/0.81 (assume @p69 true) % 0.39/0.81 (assume @p70 (forall @t11 (=> @t56 (and (tptp.relation @t135) (tptp.function @t135))))) % 0.39/0.81 (assume @p71 (forall @t11 (tptp.element @t110 @t86))) % 0.39/0.81 (assume @p72 (forall @t6 (=> @t121 (tptp.element @t120 @t86)))) % 0.39/0.81 (assume @p73 (forall @t11 (=> @t16 @t138))) % 0.39/0.81 (assume @p74 (forall @t6 (=> @t140 @t139))) % 0.39/0.81 (assume @p75 (forall @t6 (=> @t133 (tptp.element @t141 @t86)))) % 0.39/0.81 (assume @p76 (forall @t11 @t142)) % 0.39/0.81 (assume @p77 (forall @t6 (=> @t133 (tptp.element @t143 @t86)))) % 0.39/0.81 (assume @p78 (forall @t91 (=> @t146 (tptp.element @t144 @t86)))) % 0.39/0.81 (assume @p79 (forall @t6 (=> @t16 @t147))) % 0.39/0.81 (assume @p80 (forall @t6 (=> @t133 (tptp.element @t131 @t132)))) % 0.39/0.81 (assume @p81 (forall @t6 (=> @t37 (tptp.relation @t58)))) % 0.39/0.81 (assume @p82 (forall @t11 (exists @t77 @t89))) % 0.39/0.81 (assume @p83 (forall @t6 (=> @t149 (and (tptp.empty @t148) (tptp.relation @t148))))) % 0.39/0.81 (assume @p84 (forall @t11 (=> @t10 (and (tptp.empty @t128) @t138)))) % 0.39/0.81 (assume @p85 (and @t152 @t151 @t150)) % 0.39/0.81 (assume @p86 (forall @t6 (=> @t154 (and @t147 (tptp.relation_empty_yielding @t47))))) % 0.39/0.81 (assume @p87 (forall @t6 (=> (and @t16 @t9 @t37 @t155) (and @t139 (tptp.function @t130))))) % 0.39/0.81 (assume @p88 (forall @t11 @t156)) % 0.39/0.81 (assume @p89 (forall @t6 (=> @t140 (tptp.relation @t24)))) % 0.39/0.81 (assume @p90 (forall @t11 (not (tptp.empty @t86)))) % 0.39/0.81 (assume @p91 @t152) % 0.39/0.81 (assume @p92 (forall @t6 (not (tptp.empty @t122)))) % 0.39/0.81 (assume @p93 (forall @t11 (and @t142 (tptp.function @t35)))) % 0.39/0.81 (assume @p94 (and @t151 @t150 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t152 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.39/0.81 (assume @p95 (forall @t6 (=> @t140 (tptp.relation @t23)))) % 0.39/0.81 (assume @p96 (forall @t11 (not (tptp.empty @t75)))) % 0.39/0.81 (assume @p97 (forall @t6 (=> @t90 (not (tptp.empty @t23))))) % 0.39/0.81 (assume @p98 (forall @t11 (=> @t18 (and @t138 (tptp.function @t128))))) % 0.39/0.81 (assume @p99 (forall @t11 (=> @t15 (and @t156 (tptp.epsilon_transitive @t76) (tptp.epsilon_connected @t76) (tptp.ordinal @t76))))) % 0.39/0.81 (assume @p100 (forall @t6 (=> @t140 (tptp.relation @t116)))) % 0.39/0.81 (assume @p101 (forall @t6 (not (tptp.empty @t21)))) % 0.39/0.81 (assume @p102 (forall @t6 (=> @t90 (not (tptp.empty @t22))))) % 0.39/0.81 (assume @p103 (forall @t6 (=> @t56 (and @t147 (tptp.function @t47))))) % 0.39/0.81 (assume @p104 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t111) (tptp.epsilon_connected @t111) (tptp.ordinal @t111))))) % 0.39/0.81 (assume @p105 (and @t152 @t151)) % 0.39/0.81 (assume @p106 (forall @t6 (=> (and @t90 @t157) (not (tptp.empty @t95))))) % 0.39/0.81 (assume @p107 (forall @t11 (=> @t159 (not @t158)))) % 0.39/0.81 (assume @p108 (forall @t11 (=> @t159 (not @t160)))) % 0.39/0.81 (assume @p109 (forall @t11 (=> @t10 (and @t158 (tptp.relation @t51))))) % 0.39/0.81 (assume @p110 (forall @t11 (=> @t10 (and @t160 (tptp.relation @t118))))) % 0.39/0.81 (assume @p111 (forall @t6 (=> @t149 (and (tptp.empty @t130) @t139)))) % 0.39/0.81 (assume @p112 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.39/0.81 (assume @p113 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.39/0.81 (assume @p114 (forall @t6 (=> @t121 (= (tptp.subset_complement @t1 @t120) @t2)))) % 0.39/0.81 (assume @p115 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t128) @t1)))) % 0.39/0.81 (assume @p116 (forall @t6 (=> @t133 (= (tptp.complements_of_subsets @t1 @t131) @t2)))) % 0.39/0.81 (assume @p117 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 0.39/0.81 (assume @p118 (forall @t11 (=> @t16 (= @t112 (forall @t77 (=> @t161 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 0.39/0.81 (assume @p119 (forall @t11 (not (= @t75 tptp.empty_set)))) % 0.39/0.81 (assume @p120 (forall @t6 (=> @t5 (= (tptp.set_union2 @t75 @t2) @t2)))) % 0.39/0.81 (assume @p121 (forall @t6 (not (and @t162 @t5)))) % 0.39/0.81 (assume @p122 (forall @t6 (=> @t163 @t162))) % 0.39/0.81 (assume @p123 (forall @t11 (=> @t16 (= @t70 (forall (@list @t2 @t29 @t28) (=> (and @t107 @t87) (tptp.in (tptp.ordered_pair @t2 @t28) @t1))))))) % 0.39/0.81 (assume @p124 (forall @t6 (= (tptp.subset @t75 @t2) @t5))) % 0.39/0.81 (assume @p125 (forall @t6 (= (= @t116 tptp.empty_set) @t39))) % 0.39/0.81 (assume @p126 (forall @t6 (=> @t121 (forall @t59 (=> @t78 @t31))))) % 0.39/0.81 (assume @p127 (forall @t11 (=> @t16 (= @t61 (forall @t49 (=> (and @t107 @t164) @t97)))))) % 0.39/0.81 (assume @p128 (forall @t91 (=> @t39 (or @t31 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t29))))))) % 0.39/0.81 (assume @p129 (forall @t11 (=> @t16 (= @t67 (forall @t49 (not (and @t161 (tptp.in @t29 @t60) @t98 @t165 (not @t164)))))))) % 0.39/0.81 (assume @p130 (forall @t6 (= (tptp.subset @t1 @t166) (or @t82 (= @t1 @t166))))) % 0.39/0.81 (assume @p131 (forall @t6 (=> @t5 (tptp.subset @t1 @t167)))) % 0.39/0.81 (assume @p132 (forall @t74 (= (tptp.in @t122 (tptp.cartesian_product2 @t29 @t28)) (and @t168 (tptp.in @t2 @t28))))) % 0.39/0.81 (assume @p133 (forall @t6 (=> @t100 @t169))) % 0.39/0.81 (assume @p134 (forall @t91 (=> @t173 (= @t172 (and (tptp.in @t2 @t170) @t3))))) % 0.39/0.81 (assume @p135 (exists @t11 @t56)) % 0.39/0.81 (assume @p136 (exists @t11 @t20)) % 0.39/0.81 (assume @p137 (exists @t11 (and @t10 @t16))) % 0.39/0.81 (assume @p138 (forall @t11 (=> @t90 (exists @t77 (and @t121 @t157))))) % 0.39/0.81 (assume @p139 (exists @t11 @t10)) % 0.39/0.81 (assume @p140 (exists @t11 @t19)) % 0.39/0.81 (assume @p141 (exists @t11 (and @t16 @t9 @t17 @t10 @t13 @t12 @t15))) % 0.39/0.81 (assume @p142 (exists @t11 @t159)) % 0.39/0.81 (assume @p143 (forall @t11 (exists @t77 (and @t121 @t88)))) % 0.39/0.81 (assume @p144 (exists @t11 @t90)) % 0.39/0.81 (assume @p145 (exists @t11 @t18)) % 0.39/0.81 (assume @p146 (exists @t11 (and @t90 @t13 @t12 @t15))) % 0.39/0.81 (assume @p147 (exists @t11 @t154)) % 0.39/0.81 (assume @p148 (exists @t11 (and @t16 @t153 @t9))) % 0.39/0.81 (assume @p149 (forall @t6 (=> @t133 (= @t141 @t167)))) % 0.39/0.81 (assume @p150 (forall @t6 (=> @t133 (= @t143 (tptp.set_meet @t2))))) % 0.39/0.81 (assume @p151 (forall @t91 (=> @t146 (= @t144 @t174)))) % 0.39/0.81 (assume @p152 (forall @t6 (=> @t27 (= @t25 @t39)))) % 0.39/0.81 (assume @p153 (forall @t6 (=> @t27 (tptp.ordinal_subset @t1 @t1)))) % 0.39/0.81 (assume @p154 (forall @t6 (tptp.subset @t1 @t1))) % 0.39/0.81 (assume @p155 (forall @t6 (=> @t129 (tptp.disjoint @t2 @t1)))) % 0.39/0.81 (assume @p156 (forall @t11 (tptp.in @t1 @t76))) % 0.39/0.81 (assume @p157 (forall @t74 (not (and (= @t21 (tptp.unordered_pair @t29 @t28)) (not @t175) (not (= @t1 @t28)))))) % 0.39/0.81 (assume @p158 (forall @t91 (=> @t48 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t29))) (and @t5 (tptp.in @t1 @t176)))))) % 0.39/0.81 (assume @p159 (forall @t6 (=> @t37 (tptp.subset @t177 @t1)))) % 0.39/0.81 (assume @p160 (forall @t6 (=> @t37 (tptp.subset @t58 @t2)))) % 0.39/0.81 (assume @p161 (forall @t6 (=> @t37 (tptp.subset @t177 @t178)))) % 0.39/0.81 (assume @p162 (forall @t91 (=> @t39 (and (tptp.subset @t179 (tptp.cartesian_product2 @t2 @t29)) (tptp.subset (tptp.cartesian_product2 @t29 @t1) (tptp.cartesian_product2 @t29 @t2)))))) % 0.39/0.81 (assume @p163 (forall @t6 (=> @t37 (= @t177 (tptp.set_intersection2 @t178 @t1))))) % 0.39/0.81 (assume @p164 (forall @t74 (=> (and @t39 (tptp.subset @t29 @t28)) (tptp.subset @t179 (tptp.cartesian_product2 @t2 @t28))))) % 0.39/0.81 (assume @p165 (forall @t6 (=> @t39 (= @t23 @t2)))) % 0.39/0.81 (assume @p166 (forall @t11 (exists @t77 (and @t5 @t182 (forall @t59 (=> @t78 (tptp.in @t181 @t2))) @t180)))) % 0.39/0.81 (assume @p167 (forall @t91 (=> @t48 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t29) @t2) (tptp.relation_rng_restriction @t1 @t183))))) % 0.39/0.81 (assume @p168 (forall @t91 (=> @t48 (= (tptp.in @t1 (tptp.relation_image @t29 @t2)) (exists @t54 (and (tptp.in @t28 @t170) (tptp.in (tptp.ordered_pair @t28 @t1) @t29) @t44)))))) % 0.39/0.81 (assume @p169 (forall @t6 (=> @t37 (tptp.subset @t184 @t178)))) % 0.39/0.81 (assume @p170 (forall @t6 (=> @t187 (tptp.subset @t186 @t1)))) % 0.39/0.81 (assume @p171 (forall @t6 (=> @t37 (= @t184 (tptp.relation_image @t2 @t189))))) % 0.39/0.81 (assume @p172 (forall @t6 (=> @t37 (=> (tptp.subset @t1 @t188) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t184)))))) % 0.39/0.81 (assume @p173 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t51) @t118)))) % 0.39/0.81 (assume @p174 (forall @t6 (=> @t187 (=> @t190 (= @t186 @t1))))) % 0.39/0.81 (assume @p175 (forall @t11 (=> @t16 (forall @t77 (=> @t37 (= @t191 (tptp.relation_image @t2 @t118))))))) % 0.39/0.81 (assume @p176 (forall @t91 (=> @t48 (= (tptp.in @t1 @t192) (exists @t54 (and (tptp.in @t28 @t176) (tptp.in (tptp.ordered_pair @t1 @t28) @t29) @t44)))))) % 0.39/0.81 (assume @p177 (forall @t6 (=> @t37 (tptp.subset @t185 @t188)))) % 0.39/0.81 (assume @p178 (forall @t6 (=> @t37 (not (and @t85 @t190 (= @t185 tptp.empty_set)))))) % 0.39/0.81 (assume @p179 (forall @t91 (=> @t48 (=> @t39 (tptp.subset (tptp.relation_inverse_image @t29 @t1) @t192))))) % 0.39/0.81 (assume @p180 (forall @t6 (tptp.subset @t24 @t1))) % 0.39/0.81 (assume @p181 (forall @t91 (=> (and @t39 @t194) (tptp.subset @t1 @t193)))) % 0.39/0.81 (assume @p182 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.39/0.81 (assume @p183 (forall @t6 (=> @t5 @t195))) % 0.39/0.81 (assume @p184 (forall @t91 (=> (and @t39 (tptp.subset @t2 @t29)) @t194))) % 0.39/0.81 (assume @p185 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 0.39/0.81 (assume @p186 (forall @t91 (=> @t48 (=> @t197 (and @t196 (tptp.in @t2 @t176)))))) % 0.39/0.81 (assume @p187 (forall @t6 (=> @t187 (forall @t59 (=> @t173 (= @t200 (and @t196 (tptp.in @t198 @t188)))))))) % 0.39/0.81 (assume @p188 (forall @t11 (=> @t13 (forall @t77 (=> @t26 (=> @t8 @t5)))))) % 0.39/0.81 (assume @p189 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t51 @t118))))) % 0.39/0.81 (assume @p190 (forall @t6 (=> @t187 (forall @t59 (=> @t173 (=> @t200 (= (tptp.apply @t199 @t1) (tptp.apply @t2 @t198)))))))) % 0.39/0.81 (assume @p191 (forall @t6 (=> @t187 (forall @t59 (=> @t173 (=> (tptp.in @t1 @t188) (= (tptp.apply (tptp.relation_composition @t2 @t29) @t1) (tptp.apply @t29 (tptp.apply @t2 @t1))))))))) % 0.39/0.81 (assume @p192 (forall @t6 (=> @t26 (=> @t5 @t15)))) % 0.39/0.81 (assume @p193 (forall @t11 (=> @t15 (forall @t77 (=> @t26 (not (and @t163 @t134 @t4))))))) % 0.39/0.81 (assume @p194 (forall @t11 (=> @t16 (forall @t77 (=> @t37 (=> @t39 (and (tptp.subset @t51 @t188) (tptp.subset @t118 @t178)))))))) % 0.39/0.81 (assume @p195 (forall @t91 (=> @t39 (tptp.subset (tptp.set_intersection2 @t1 @t29) @t193)))) % 0.39/0.81 (assume @p196 (forall @t6 (=> @t39 (= @t24 @t1)))) % 0.39/0.81 (assume @p197 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.39/0.81 (assume @p198 (forall @t6 (=> @t195 (or @t88 @t5)))) % 0.39/0.81 (assume @p199 (forall @t6 (=> (forall @t59 (= @t31 @t78)) @t40))) % 0.39/0.81 (assume @p200 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 0.39/0.81 (assume @p201 (forall @t91 (=> @t48 (=> @t197 (and (tptp.in @t1 @t201) (tptp.in @t2 @t201)))))) % 0.39/0.81 (assume @p202 (forall @t11 (=> (forall @t77 (=> @t3 (and @t26 @t38))) @t15))) % 0.39/0.81 (assume @p203 (forall @t6 (=> @t26 (not (and @t39 @t85 (forall @t59 (=> (tptp.ordinal @t29) (not (and @t31 (forall @t54 (=> (tptp.ordinal @t28) (=> @t84 (tptp.ordinal_subset @t29 @t28))))))))))))) % 0.39/0.81 (assume @p204 (forall @t11 (=> @t15 (forall @t77 (=> @t26 (= @t5 (tptp.ordinal_subset @t76 @t2))))))) % 0.39/0.81 (assume @p205 (forall @t91 (=> @t39 (tptp.subset (tptp.set_difference @t1 @t29) @t174)))) % 0.39/0.81 (assume @p206 (forall @t74 (=> (= @t122 @t32) (and @t175 (= @t2 @t28))))) % 0.39/0.81 (assume @p207 (forall @t6 (=> @t187 (= @t36 (and (= @t188 @t1) (forall @t59 (=> @t31 (= @t202 @t29)))))))) % 0.39/0.81 (assume @p208 (forall @t6 (=> @t3 (= (tptp.apply @t35 @t2) @t2)))) % 0.39/0.81 (assume @p209 (forall @t6 (tptp.subset @t116 @t1))) % 0.39/0.81 (assume @p210 (forall @t11 (=> @t16 (and (= @t118 (tptp.relation_dom @t128)) (= @t51 (tptp.relation_rng @t128)))))) % 0.39/0.81 (assume @p211 (forall @t91 (= (tptp.subset @t21 @t29) (and @t168 @t99)))) % 0.39/0.81 (assume @p212 (forall @t6 (= @t203 @t23))) % 0.39/0.81 (assume @p213 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.39/0.81 (assume @p214 (forall @t91 (not (and @t5 @t99 @t31)))) % 0.39/0.81 (assume @p215 (forall @t6 (= @t169 @t39))) % 0.39/0.81 (assume @p216 (forall @t6 (and (not (and @t205 (forall @t59 (not @t204)))) (not (and (exists @t59 @t204) @t129))))) % 0.39/0.81 (assume @p217 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t82))) % 0.39/0.81 (assume @p218 (forall @t6 (= (tptp.set_difference @t23 @t2) @t116))) % 0.39/0.81 (assume @p219 (forall @t11 (=> @t15 (= @t127 (forall @t77 (=> @t26 (=> @t3 (tptp.in @t206 @t1)))))))) % 0.39/0.81 (assume @p220 (forall @t11 (=> @t15 (and (not (and (not @t127) (forall @t77 (=> @t26 (not @t207))))) (not (and (exists @t77 (and @t26 @t207)) @t127)))))) % 0.39/0.81 (assume @p221 (forall @t6 (=> @t121 (forall @t59 (=> @t145 (= @t209 (tptp.subset @t2 @t208))))))) % 0.39/0.81 (assume @p222 (forall @t11 (=> @t16 (forall @t77 (=> @t37 (tptp.subset @t210 @t51)))))) % 0.39/0.81 (assume @p223 (forall @t11 (=> @t16 (forall @t77 (=> @t37 (tptp.subset @t191 @t178)))))) % 0.39/0.81 (assume @p224 (forall @t6 (=> @t39 (= @t2 @t203)))) % 0.39/0.81 (assume @p225 (forall @t11 (=> @t16 (forall @t77 (=> @t37 (=> (tptp.subset @t118 @t188) (= @t210 @t51))))))) % 0.39/0.81 (assume @p226 (forall @t6 (=> @t133 (not (and @t92 (= @t131 tptp.empty_set)))))) % 0.39/0.81 (assume @p227 (forall @t11 (=> @t16 (forall @t77 (=> @t37 (=> (tptp.subset @t51 @t178) (= (tptp.relation_rng @t148) @t118))))))) % 0.39/0.81 (assume @p228 (forall @t6 (=> @t133 (=> @t92 (= (tptp.subset_difference @t1 @t110 @t141) (tptp.meet_of_subsets @t1 @t131)))))) % 0.39/0.81 (assume @p229 (forall @t6 (=> @t133 (=> @t92 (= (tptp.union_of_subsets @t1 @t131) (tptp.subset_difference @t1 @t110 @t143)))))) % 0.39/0.81 (assume @p230 (forall @t6 (= (tptp.set_difference @t1 @t116) @t24))) % 0.39/0.81 (assume @p231 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.39/0.81 (assume @p232 (forall @t91 (=> (and @t5 @t211) (tptp.element @t1 @t29)))) % 0.39/0.81 (assume @p233 (forall @t6 (and (not (and @t205 (forall @t59 (not @t212)))) (not (and (exists @t59 @t212) @t129))))) % 0.39/0.81 (assume @p234 (forall @t11 (=> @t85 (forall @t77 (=> @t121 (forall @t59 (=> (tptp.element @t29 @t1) (=> @t96 (tptp.in @t29 @t120))))))))) % 0.39/0.81 (assume @p235 (forall @t11 (=> @t56 (=> @t17 (forall @t77 (=> @t187 (= (= @t2 @t135) (and (= @t188 @t118) (forall @t34 (and (=> @t213 @t117) (=> @t117 @t213))))))))))) % 0.39/0.81 (assume @p236 (forall @t91 (=> @t145 (not (and (tptp.in @t2 @t208) @t99))))) % 0.39/0.81 (assume @p237 (forall @t11 (=> @t56 (=> @t17 (and (= @t118 (tptp.relation_dom @t135)) (= @t51 (tptp.relation_rng @t135))))))) % 0.39/0.81 (assume @p238 (forall @t11 (=> @t16 (=> (forall @t49 @t165) @t82)))) % 0.39/0.81 (assume @p239 (forall @t6 (=> @t187 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t178)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t214 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t214 @t2) @t1))))))) % 0.39/0.81 (assume @p240 (forall @t91 (not (and @t5 @t211 (tptp.empty @t29))))) % 0.39/0.81 (assume @p241 @t216) % 0.39/0.81 (assume @p242 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.39/0.81 (assume @p243 (forall @t6 (not (and @t39 @t7)))) % 0.39/0.81 (assume @p244 (forall @t11 (=> @t56 (=> @t17 (tptp.one_to_one @t135))))) % 0.39/0.81 (assume @p245 (forall @t91 (=> (and @t39 @t209) (tptp.disjoint @t1 @t29)))) % 0.39/0.81 (assume @p246 (forall @t11 (=> @t16 (=> (or @t218 @t217) @t82)))) % 0.39/0.81 (assume @p247 (forall @t11 (=> @t16 (= @t218 @t217)))) % 0.39/0.81 (assume @p248 (forall @t6 (= (= (tptp.set_difference @t1 @t166) @t1) @t4))) % 0.39/0.81 (assume @p249 (forall @t6 (=> @t187 (forall @t59 (=> @t173 (= (= @t2 @t171) (and (= @t188 (tptp.set_intersection2 @t170 @t1)) (forall @t54 (=> (tptp.in @t28 @t188) (= (tptp.apply @t2 @t28) (tptp.apply @t29 @t28))))))))))) % 0.39/0.81 (assume @p250 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t75))) % 0.39/0.81 (assume @p251 (forall @t11 (=> @t10 @t82))) % 0.39/0.81 (assume @p252 (forall @t6 (=> (tptp.subset @t75 @t166) @t40))) % 0.39/0.81 (assume @p253 (forall @t91 (=> @t173 (=> @t172 @t219)))) % 0.39/0.81 (assume @p254 (forall @t11 (and (= (tptp.relation_dom @t35) @t1) (= (tptp.relation_rng @t35) @t1)))) % 0.39/0.81 (assume @p255 (forall @t91 (=> @t173 (=> @t3 @t219)))) % 0.39/0.81 (assume @p256 (forall @t74 (=> (tptp.relation @t28) (= (tptp.in @t122 (tptp.relation_composition (tptp.identity_relation @t29) @t28)) (and @t168 (tptp.in @t122 @t28)))))) % 0.39/0.81 (assume @p257 (forall @t6 (not (and @t5 @t88)))) % 0.39/0.81 (assume @p258 (forall @t6 (not (and @t5 (forall @t59 (not (and @t78 (forall @t54 (not (and @t44 @t53)))))))))) % 0.39/0.81 (assume @p259 (forall @t6 (tptp.subset @t1 @t23))) % 0.39/0.81 (assume @p260 (forall @t6 (= @t129 (= @t116 @t1)))) % 0.39/0.81 (assume @p261 (forall @t91 (=> @t48 (= (tptp.in @t1 (tptp.relation_dom @t183)) (and @t5 @t196))))) % 0.39/0.81 (assume @p262 (forall @t6 (=> @t37 (tptp.subset @t220 @t2)))) % 0.39/0.81 (assume @p263 (forall @t6 (not (and @t10 @t134 @t88)))) % 0.39/0.81 (assume @p264 (forall @t91 (=> @t173 (= @t197 (and @t196 (= @t2 @t198)))))) % 0.39/0.81 (assume @p265 @t224) % 0.39/0.81 (assume @p266 (forall @t91 (=> (and @t39 @t102) (tptp.subset (tptp.set_union2 @t1 @t29) @t2)))) % 0.39/0.81 (assume @p267 (forall @t91 (=> @t225 @t40))) % 0.39/0.81 (assume @p268 (forall @t6 (=> @t37 (= (tptp.relation_dom @t220) @t189)))) % 0.39/0.81 (assume @p269 (forall @t6 (=> @t37 (= @t220 (tptp.relation_composition @t35 @t2))))) % 0.39/0.81 (assume @p270 (forall @t6 (=> @t37 (tptp.subset (tptp.relation_rng @t220) @t178)))) % 0.39/0.81 (assume @p271 (forall @t11 (= (tptp.union @t86) @t1))) % 0.39/0.81 (assume @p272 (forall @t11 (exists @t77 (and @t5 @t182 (forall @t59 (not (and @t78 (forall @t54 (not (and @t44 (forall @t52 (=> (tptp.subset @t41 @t29) @t73)))))))) @t180)))) % 0.39/0.81 (assume @p273 (forall @t91 (=> @t225 @t97))) % 0.39/0.81 (step @p274 :rule bool-impl-elim :args (@t16 @t62)) % 0.39/0.81 (step @p275 :rule cong :premises (@p274) :args (@t63)) % 0.39/0.81 (step @p276 :rule eq_resolve :premises (@p18 @p275)) % 0.39/0.81 (step @p277 :rule instantiate :premises (@p276) :args (@t229)) % 0.39/0.81 (step @p278 :rule bool-impl-elim :args (@t16 @t226)) % 0.39/0.81 (step @p279 :rule cong :premises (@p278) :args ((forall @t11 (=> @t16 @t226)))) % 0.39/0.81 (step @p280 :rule eq-symm :args (@t221 @t113)) % 0.39/0.81 (step @p281 :rule refl :args (@t16)) % 0.39/0.81 (step @p282 :rule cong :premises (@p281 @p280) :args (@t222)) % 0.39/0.81 (step @p283 :rule cong :premises (@p282) :args (@t223)) % 0.39/0.81 (step @p284 :rule trans :premises (@p283 @p279)) % 0.39/0.81 (step @p285 :rule cong :premises (@p284) :args (@t224)) % 0.39/0.81 (step @p286 :rule eq_resolve :premises (@p265 @p285)) % 0.39/0.81 (step @p287 :rule skolemize :premises (@p286)) % 0.39/0.81 (step @p288 :rule bool-double-not-elim :args (@t230)) % 0.39/0.81 (step @p289 :rule refl :args (@t236)) % 0.39/0.81 (step @p290 :rule nary_cong :premises (@p289 @p288) :args ((or @t236 (not @t235)))) % 0.39/0.81 (step @p291 :rule cnf_or_neg :args (@t236 0)) % 0.39/0.81 (step @p292 :rule eq_resolve :premises (@p291 @p290)) % 0.39/0.81 (step @p293 :rule reordering :premises (@p292) :args ((or @t230 @t236))) % 0.39/0.81 (step @p294 :rule chain_m_resolution :premises (@p293 @p287) :args (@t230 @t237 @t238)) % 0.39/0.81 (step @p295 :rule cnf_or_pos :args (@t242)) % 0.39/0.81 (step @p296 :rule reordering :premises (@p295) :args ((or @t235 @t241 (not @t242)))) % 0.39/0.81 (step @p297 :rule chain_m_resolution :premises (@p296 @p294 @p277) :args (@t241 @t243 (@list @t230 @t242))) % 0.39/0.81 (step @p298 :rule quant-merge-prenex :args ((= (forall @t11 @t248) (forall (@list @t1 @t244) @t246)))) % 0.39/0.81 (step @p299 :rule alpha_equiv :args (@t249 (@list @t244) (@list @t2))) % 0.39/0.81 (step @p300 :rule refl :args (@t227)) % 0.39/0.81 (step @p301 :rule nary_cong :premises (@p300 @p299) :args (@t250)) % 0.39/0.81 (step @p302 :rule quant-miniscope-or :args ((= @t248 @t250))) % 0.39/0.81 (step @p303 :rule trans :premises (@p302 @p301)) % 0.39/0.81 (step @p304 :rule symm :premises (@p303)) % 0.39/0.81 (step @p305 :rule cong :premises (@p304) :args ((forall @t11 (or @t227 @t125)))) % 0.39/0.81 (step @p306 :rule trans :premises (@p305 @p298)) % 0.39/0.81 (step @p307 :rule bool-impl-elim :args (@t16 @t125)) % 0.39/0.81 (step @p308 :rule cong :premises (@p307) :args (@t126)) % 0.39/0.81 (step @p309 :rule trans :premises (@p308 @p306)) % 0.39/0.81 (step @p310 :rule eq_resolve :premises (@p56 @p309)) % 0.39/0.81 (step @p311 :rule instantiate :premises (@p310) :args ((@list @t228 @t231))) % 0.39/0.81 (step @p312 :rule cnf_or_pos :args (@t257)) % 0.39/0.81 (step @p313 :rule reordering :premises (@p312) :args ((or @t235 @t256 (not @t257)))) % 0.39/0.81 (step @p314 :rule chain_m_resolution :premises (@p313 @p294 @p311) :args (@t256 @t243 (@list @t230 @t257))) % 0.39/0.81 (step @p315 :rule cnf_or_neg :args (@t236 1)) % 0.39/0.81 (step @p316 :rule chain_m_resolution :premises (@p315 @p287) :args ((not @t234) @t237 @t238)) % 0.39/0.81 (step @p317 :rule cnf_equiv_neg2 :args (@t234)) % 0.39/0.81 (step @p318 :rule bool-impl-elim :args (@t16 @t114)) % 0.39/0.81 (step @p319 :rule cong :premises (@p318) :args (@t115)) % 0.39/0.81 (step @p320 :rule eq_resolve :premises (@p50 @p319)) % 0.39/0.81 (step @p321 :rule instantiate :premises (@p320) :args (@t229)) % 0.39/0.81 (step @p322 :rule cnf_or_pos :args (@t264)) % 0.39/0.81 (step @p323 :rule reordering :premises (@p322) :args ((or @t235 @t263 (not @t264)))) % 0.39/0.81 (step @p324 :rule chain_m_resolution :premises (@p323 @p294 @p321) :args (@t263 @t243 (@list @t230 @t264))) % 0.39/0.81 (step @p325 :rule cnf_equiv_pos1 :args (@t263)) % 0.39/0.81 (step @p326 :rule reordering :premises (@p325) :args ((or @t266 @t262 @t265))) % 0.39/0.81 (step @p327 :rule cnf_equiv_pos2 :args (@t256)) % 0.39/0.81 (step @p328 :rule reordering :premises (@p327) :args ((or @t232 @t268 @t267))) % 0.39/0.81 (step @p329 :rule cnf_and_pos :args (@t262 0)) % 0.39/0.81 (step @p330 :rule reordering :premises (@p329) :args ((or @t261 @t269))) % 0.39/0.81 (step @p331 :rule cnf_and_pos :args (@t262 1)) % 0.39/0.81 (step @p332 :rule reordering :premises (@p331) :args ((or @t260 @t269))) % 0.39/0.81 (step @p333 :rule cnf_and_pos :args (@t262 2)) % 0.39/0.81 (step @p334 :rule reordering :premises (@p333) :args ((or @t240 @t269))) % 0.39/0.81 (step @p335 :rule cnf_and_pos :args (@t262 3)) % 0.39/0.81 (step @p336 :rule reordering :premises (@p335) :args ((or @t259 @t269))) % 0.39/0.81 (step @p337 :rule cnf_and_pos :args (@t262 4)) % 0.39/0.81 (step @p338 :rule reordering :premises (@p337) :args ((or @t258 @t269))) % 0.39/0.81 (step @p339 :rule bool-impl-elim :args (@t16 @t136)) % 0.39/0.81 (step @p340 :rule cong :premises (@p339) :args (@t137)) % 0.39/0.81 (step @p341 :rule eq_resolve :premises (@p68 @p340)) % 0.39/0.81 (step @p342 :rule instantiate :premises (@p341) :args (@t229)) % 0.39/0.81 (step @p343 :rule cnf_or_pos :args (@t271)) % 0.39/0.81 (step @p344 :rule reordering :premises (@p343) :args ((or @t235 @t270 (not @t271)))) % 0.39/0.81 (step @p345 :rule chain_m_resolution :premises (@p344 @p294 @p342) :args (@t270 @t243 (@list @t230 @t271))) % 0.39/0.81 (step @p346 :rule cnf_equiv_pos1 :args (@t270)) % 0.39/0.81 (step @p347 :rule reordering :premises (@p346) :args ((or @t254 @t273 @t272))) % 0.39/0.81 (step @p348 :rule bool-impl-elim :args (@t16 @t71)) % 0.39/0.81 (step @p349 :rule cong :premises (@p348) :args (@t72)) % 0.39/0.81 (step @p350 :rule eq_resolve :premises (@p23 @p349)) % 0.39/0.81 (step @p351 :rule instantiate :premises (@p350) :args (@t229)) % 0.39/0.81 (step @p352 :rule cnf_or_pos :args (@t275)) % 0.39/0.81 (step @p353 :rule reordering :premises (@p352) :args ((or @t235 @t274 (not @t275)))) % 0.39/0.81 (step @p354 :rule chain_m_resolution :premises (@p353 @p294 @p351) :args (@t274 @t243 (@list @t230 @t275))) % 0.39/0.81 (step @p355 :rule cnf_equiv_pos1 :args (@t274)) % 0.39/0.81 (step @p356 :rule reordering :premises (@p355) :args ((or @t253 @t277 @t276))) % 0.39/0.81 (step @p357 :rule cnf_equiv_pos1 :args (@t241)) % 0.39/0.81 (step @p358 :rule reordering :premises (@p357) :args ((or @t239 @t279 @t278))) % 0.39/0.81 (step @p359 :rule bool-impl-elim :args (@t16 @t68)) % 0.39/0.81 (step @p360 :rule cong :premises (@p359) :args (@t69)) % 0.39/0.81 (step @p361 :rule eq_resolve :premises (@p22 @p360)) % 0.39/0.81 (step @p362 :rule instantiate :premises (@p361) :args (@t229)) % 0.39/0.81 (step @p363 :rule cnf_or_pos :args (@t281)) % 0.39/0.81 (step @p364 :rule reordering :premises (@p363) :args ((or @t235 @t280 (not @t281)))) % 0.39/0.81 (step @p365 :rule chain_m_resolution :premises (@p364 @p294 @p362) :args (@t280 @t243 (@list @t230 @t281))) % 0.39/0.81 (step @p366 :rule cnf_equiv_pos1 :args (@t280)) % 0.39/0.81 (step @p367 :rule reordering :premises (@p366) :args ((or @t252 @t283 @t282))) % 0.39/0.81 (step @p368 :rule bool-impl-elim :args (@t16 @t215)) % 0.39/0.81 (step @p369 :rule cong :premises (@p368) :args (@t216)) % 0.39/0.81 (step @p370 :rule eq_resolve :premises (@p241 @p369)) % 0.39/0.81 (step @p371 :rule instantiate :premises (@p370) :args (@t229)) % 0.39/0.81 (step @p372 :rule cnf_or_pos :args (@t285)) % 0.39/0.81 (step @p373 :rule reordering :premises (@p372) :args ((or @t235 @t284 (not @t285)))) % 0.39/0.81 (step @p374 :rule chain_m_resolution :premises (@p373 @p294 @p371) :args (@t284 @t243 (@list @t230 @t285))) % 0.39/0.81 (step @p375 :rule cnf_equiv_pos1 :args (@t284)) % 0.39/0.81 (step @p376 :rule reordering :premises (@p375) :args ((or @t251 @t287 @t286))) % 0.39/0.81 (step @p377 :rule cnf_and_neg :args (@t255)) % 0.39/0.81 (step @p378 :rule reordering :premises (@p377) :args ((or @t255 @t292 @t291 @t290 @t289 @t288))) % 0.39/0.81 (step @p379 :rule chain_m_resolution :premises (@p378 @p376 @p374 @p367 @p365 @p358 @p297 @p356 @p354 @p347 @p345 @p338 @p336 @p334 @p332 @p330 @p328 @p314 @p326 @p324 @p317 @p316) :args (@t266 (@list false false false false false false false false false false false false false false false true false false false true true) (@list @t251 @t284 @t252 @t280 @t239 @t241 @t253 @t274 @t254 @t270 @t258 @t259 @t240 @t260 @t261 @t255 @t256 @t262 @t263 @t232 @t234))) % 0.39/0.81 (step @p380 :rule cnf_equiv_neg1 :args (@t234)) % 0.39/0.81 (step @p381 :rule reordering :premises (@p380) :args ((or @t233 @t232 @t234))) % 0.39/0.81 (step @p382 :rule chain_m_resolution :premises (@p381 @p379 @p316) :args (@t232 (@list true true) (@list @t233 @t234))) % 0.39/0.81 (step @p383 :rule cnf_equiv_pos1 :args (@t256)) % 0.39/0.81 (step @p384 :rule reordering :premises (@p383) :args ((or (not @t232) @t255 @t267))) % 0.39/0.81 (step @p385 :rule chain_m_resolution :premises (@p384 @p382 @p314) :args (@t255 @t243 (@list @t232 @t256))) % 0.39/0.81 (step @p386 :rule cnf_and_pos :args (@t255 2)) % 0.39/0.81 (step @p387 :rule reordering :premises (@p386) :args ((or @t239 @t268))) % 0.39/0.81 (step @p388 :rule chain_m_resolution :premises (@p387 @p385) :args (@t239 @t293 @t294)) % 0.39/0.81 (step @p389 :rule cnf_equiv_pos2 :args (@t241)) % 0.39/0.81 (step @p390 :rule reordering :premises (@p389) :args ((or @t240 @t292 @t278))) % 0.39/0.81 (step @p391 :rule chain_m_resolution :premises (@p390 @p388 @p297) :args (@t240 @t243 (@list @t239 @t241))) % 0.39/0.81 (step @p392 :rule cnf_and_pos :args (@t255 0)) % 0.39/0.81 (step @p393 :rule reordering :premises (@p392) :args ((or @t254 @t268))) % 0.39/0.81 (step @p394 :rule chain_m_resolution :premises (@p393 @p385) :args (@t254 @t293 @t294)) % 0.39/0.81 (step @p395 :rule cnf_equiv_pos2 :args (@t270)) % 0.39/0.81 (step @p396 :rule reordering :premises (@p395) :args ((or @t261 @t289 @t272))) % 0.39/0.81 (step @p397 :rule chain_m_resolution :premises (@p396 @p394 @p345) :args (@t261 @t243 (@list @t254 @t270))) % 0.39/0.81 (step @p398 :rule cnf_and_pos :args (@t255 4)) % 0.39/0.81 (step @p399 :rule reordering :premises (@p398) :args ((or @t251 @t268))) % 0.39/0.81 (step @p400 :rule chain_m_resolution :premises (@p399 @p385) :args (@t251 @t293 @t294)) % 0.39/0.81 (step @p401 :rule cnf_equiv_pos2 :args (@t284)) % 0.39/0.81 (step @p402 :rule reordering :premises (@p401) :args ((or @t258 @t288 @t286))) % 0.39/0.81 (step @p403 :rule chain_m_resolution :premises (@p402 @p400 @p374) :args (@t258 @t243 (@list @t251 @t284))) % 0.39/0.81 (step @p404 :rule cnf_equiv_pos2 :args (@t263)) % 0.39/0.81 (step @p405 :rule reordering :premises (@p404) :args ((or @t233 @t269 @t265))) % 0.39/0.81 (step @p406 :rule chain_m_resolution :premises (@p405 @p379 @p324) :args (@t269 (@list true false) (@list @t233 @t263))) % 0.39/0.81 (step @p407 :rule cnf_and_pos :args (@t255 1)) % 0.39/0.81 (step @p408 :rule reordering :premises (@p407) :args ((or @t253 @t268))) % 0.39/0.81 (step @p409 :rule chain_m_resolution :premises (@p408 @p385) :args (@t253 @t293 @t294)) % 0.39/0.81 (step @p410 :rule cnf_equiv_pos2 :args (@t274)) % 0.39/0.81 (step @p411 :rule reordering :premises (@p410) :args ((or @t260 @t290 @t276))) % 0.39/0.81 (step @p412 :rule chain_m_resolution :premises (@p411 @p409 @p354) :args (@t260 @t243 (@list @t253 @t274))) % 0.39/0.81 (step @p413 :rule cnf_and_pos :args (@t255 3)) % 0.39/0.81 (step @p414 :rule reordering :premises (@p413) :args ((or @t252 @t268))) % 0.39/0.81 (step @p415 :rule chain_m_resolution :premises (@p414 @p385) :args (@t252 @t293 @t294)) % 0.39/0.81 (step @p416 :rule cnf_equiv_pos2 :args (@t280)) % 0.39/0.81 (step @p417 :rule reordering :premises (@p416) :args ((or @t259 @t291 @t282))) % 0.39/0.81 (step @p418 :rule chain_m_resolution :premises (@p417 @p415 @p365) :args (@t259 @t243 (@list @t252 @t280))) % 0.39/0.81 (step @p419 :rule cnf_and_neg :args (@t262)) % 0.39/0.81 (step @p420 :rule reordering :premises (@p419) :args ((or @t262 @t279 @t283 @t277 @t287 @t273))) % 0.39/0.81 (step @p421 false :rule chain_m_resolution :premises (@p420 @p418 @p412 @p406 @p403 @p397 @p391) :args (false (@list false false true false false false) (@list @t259 @t260 @t262 @t258 @t261 @t240))) % 0.39/0.82 ) % 0.39/0.82 % SZS output end Proof % 0.39/0.82 % cvc5 exiting %------------------------------------------------------------------------------