%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU243+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 : n023.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 0.38s 0.81s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU243+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 : n023.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 16:48:13 EDT 2026 % 0.17/0.34 % CPUTime : % 0.37/0.55 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.81 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.81 % SZS status Theorem % 0.38/0.81 % SZS output start Proof % 0.38/0.81 ( % 0.38/0.81 (declare-sort $$unsorted 0) % 0.38/0.81 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.fiber (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.is_well_founded_in (-> $$unsorted $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.transitive (-> $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.function (-> $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.38/0.81 (declare-const tptp.empty_set $$unsorted) % 0.38/0.81 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.well_founded_relation (-> $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.38/0.81 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 0.38/0.81 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.81 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.81 (define @t3 () (tptp.in @t2 @t1)) % 0.38/0.81 (define @t4 () (not @t3)) % 0.38/0.81 (define @t5 () (tptp.in @t1 @t2)) % 0.38/0.81 (define @t6 () (@list @t1 @t2)) % 0.38/0.81 (define @t7 () (tptp.proper_subset @t2 @t1)) % 0.38/0.81 (define @t8 () (tptp.proper_subset @t1 @t2)) % 0.38/0.81 (define @t9 () (tptp.function @t1)) % 0.38/0.81 (define @t10 () (tptp.empty @t1)) % 0.38/0.81 (define @t11 () (@list @t1)) % 0.38/0.81 (define @t12 () (tptp.epsilon_connected @t1)) % 0.38/0.81 (define @t13 () (tptp.epsilon_transitive @t1)) % 0.38/0.81 (define @t14 () (and @t13 @t12)) % 0.38/0.81 (define @t15 () (tptp.ordinal @t1)) % 0.38/0.81 (define @t16 () (tptp.relation @t1)) % 0.38/0.81 (define @t17 () (tptp.one_to_one @t1)) % 0.38/0.81 (define @t18 () (and @t16 @t9 @t17)) % 0.38/0.81 (define @t19 () (and @t16 @t10 @t9)) % 0.38/0.81 (define @t20 () (and @t13 @t12 @t15)) % 0.38/0.81 (define @t21 () (tptp.unordered_pair @t1 @t2)) % 0.38/0.81 (define @t22 () (tptp.set_union2 @t2 @t1)) % 0.38/0.81 (define @t23 () (tptp.set_union2 @t1 @t2)) % 0.38/0.81 (define @t24 () (tptp.set_intersection2 @t1 @t2)) % 0.38/0.81 (define @t25 () (tptp.ordinal_subset @t1 @t2)) % 0.38/0.81 (define @t26 () (tptp.ordinal @t2)) % 0.38/0.81 (define @t27 () (and @t15 @t26)) % 0.38/0.81 (define @t28 () (@var "D" $$unsorted)) % 0.38/0.81 (define @t29 () (@var "C" $$unsorted)) % 0.38/0.81 (define @t30 () (= @t29 @t28)) % 0.38/0.81 (define @t31 () (tptp.in @t29 @t1)) % 0.38/0.81 (define @t32 () (tptp.ordered_pair @t29 @t28)) % 0.38/0.81 (define @t33 () (tptp.in @t32 @t2)) % 0.38/0.81 (define @t34 () (@list @t29 @t28)) % 0.38/0.81 (define @t35 () (tptp.identity_relation @t1)) % 0.38/0.81 (define @t36 () (= @t2 @t35)) % 0.38/0.81 (define @t37 () (tptp.relation @t2)) % 0.38/0.81 (define @t38 () (tptp.subset @t2 @t1)) % 0.38/0.81 (define @t39 () (tptp.subset @t1 @t2)) % 0.38/0.81 (define @t40 () (= @t1 @t2)) % 0.38/0.81 (define @t41 () (@var "E" $$unsorted)) % 0.38/0.81 (define @t42 () (tptp.ordered_pair @t28 @t41)) % 0.38/0.81 (define @t43 () (tptp.in @t42 @t1)) % 0.38/0.81 (define @t44 () (tptp.in @t28 @t2)) % 0.38/0.81 (define @t45 () (tptp.in @t42 @t29)) % 0.38/0.81 (define @t46 () (@list @t28 @t41)) % 0.38/0.81 (define @t47 () (tptp.relation_dom_restriction @t1 @t2)) % 0.38/0.81 (define @t48 () (tptp.relation @t29)) % 0.38/0.81 (define @t49 () (@list @t2 @t29)) % 0.38/0.81 (define @t50 () (tptp.in @t41 @t2)) % 0.38/0.81 (define @t51 () (tptp.relation_dom @t1)) % 0.38/0.81 (define @t52 () (@list @t41)) % 0.38/0.81 (define @t53 () (tptp.in @t28 @t29)) % 0.38/0.81 (define @t54 () (@list @t28)) % 0.38/0.81 (define @t55 () (= @t29 (tptp.relation_image @t1 @t2))) % 0.38/0.81 (define @t56 () (and @t16 @t9)) % 0.38/0.81 (define @t57 () (tptp.in @t41 @t1)) % 0.38/0.81 (define @t58 () (tptp.relation_rng_restriction @t1 @t2)) % 0.38/0.81 (define @t59 () (@list @t29)) % 0.38/0.81 (define @t60 () (tptp.relation_field @t1)) % 0.38/0.81 (define @t61 () (tptp.antisymmetric @t1)) % 0.38/0.81 (define @t62 () (tptp.apply @t1 @t28)) % 0.38/0.81 (define @t63 () (tptp.in @t28 @t51)) % 0.38/0.81 (define @t64 () (= @t29 (tptp.relation_inverse_image @t1 @t2))) % 0.38/0.81 (define @t65 () (tptp.connected @t1)) % 0.38/0.81 (define @t66 () (tptp.transitive @t1)) % 0.38/0.81 (define @t67 () (tptp.in @t41 @t28)) % 0.38/0.81 (define @t68 () (@list @t1 @t2 @t29 @t28)) % 0.38/0.81 (define @t69 () (tptp.singleton @t1)) % 0.38/0.81 (define @t70 () (tptp.succ @t1)) % 0.38/0.81 (define @t71 () (@list @t2)) % 0.38/0.81 (define @t72 () (tptp.in @t29 @t2)) % 0.38/0.81 (define @t73 () (= @t2 tptp.empty_set)) % 0.38/0.81 (define @t74 () (= @t2 (tptp.set_meet @t1))) % 0.38/0.81 (define @t75 () (= @t1 tptp.empty_set)) % 0.38/0.81 (define @t76 () (tptp.in @t29 @t28)) % 0.38/0.81 (define @t77 () (tptp.in @t28 @t1)) % 0.38/0.81 (define @t78 () (not @t75)) % 0.38/0.81 (define @t79 () (tptp.powerset @t1)) % 0.38/0.81 (define @t80 () (tptp.in @t32 @t1)) % 0.38/0.81 (define @t81 () (tptp.empty @t2)) % 0.38/0.81 (define @t82 () (tptp.element @t2 @t1)) % 0.38/0.81 (define @t83 () (not @t10)) % 0.38/0.81 (define @t84 () (@list @t1 @t2 @t29)) % 0.38/0.81 (define @t85 () (tptp.disjoint (tptp.fiber @t1 @t29) @t2)) % 0.38/0.81 (define @t86 () (forall @t59 (not (and @t72 @t85)))) % 0.38/0.81 (define @t87 () (not @t73)) % 0.38/0.81 (define @t88 () (tptp.subset @t2 @t60)) % 0.38/0.81 (define @t89 () (and @t88 @t87 @t86)) % 0.38/0.81 (define @t90 () (not @t89)) % 0.38/0.81 (define @t91 () (forall @t71 @t90)) % 0.38/0.81 (define @t92 () (tptp.well_founded_relation @t1)) % 0.38/0.81 (define @t93 () (= @t92 @t91)) % 0.38/0.81 (define @t94 () (=> @t16 @t93)) % 0.38/0.81 (define @t95 () (forall @t11 @t94)) % 0.38/0.81 (define @t96 () (@var "F" $$unsorted)) % 0.38/0.81 (define @t97 () (tptp.cartesian_product2 @t1 @t2)) % 0.38/0.81 (define @t98 () (not @t72)) % 0.38/0.81 (define @t99 () (= @t2 @t29)) % 0.38/0.81 (define @t100 () (not @t99)) % 0.38/0.81 (define @t101 () (tptp.in @t2 @t29)) % 0.38/0.81 (define @t102 () (forall @t59 (=> @t31 @t72))) % 0.38/0.81 (define @t103 () (tptp.disjoint (tptp.fiber @t1 @t28) @t29)) % 0.38/0.81 (define @t104 () (forall @t54 (not (and @t53 @t103)))) % 0.38/0.81 (define @t105 () (= @t29 tptp.empty_set)) % 0.38/0.81 (define @t106 () (not @t105)) % 0.38/0.81 (define @t107 () (tptp.subset @t29 @t2)) % 0.38/0.81 (define @t108 () (and @t107 @t106 @t104)) % 0.38/0.81 (define @t109 () (not @t108)) % 0.38/0.81 (define @t110 () (forall @t59 @t109)) % 0.38/0.81 (define @t111 () (tptp.is_well_founded_in @t1 @t2)) % 0.38/0.81 (define @t112 () (= @t111 @t110)) % 0.38/0.81 (define @t113 () (forall @t71 @t112)) % 0.38/0.81 (define @t114 () (=> @t16 @t113)) % 0.38/0.81 (define @t115 () (forall @t11 @t114)) % 0.38/0.81 (define @t116 () (tptp.apply @t1 @t2)) % 0.38/0.81 (define @t117 () (= @t29 @t116)) % 0.38/0.81 (define @t118 () (tptp.in @t2 @t51)) % 0.38/0.81 (define @t119 () (tptp.in (tptp.ordered_pair @t2 @t29) @t1)) % 0.38/0.81 (define @t120 () (tptp.in (tptp.ordered_pair @t28 @t29) @t1)) % 0.38/0.81 (define @t121 () (tptp.cast_to_subset @t1)) % 0.38/0.81 (define @t122 () (tptp.union @t1)) % 0.38/0.81 (define @t123 () (tptp.set_difference @t1 @t2)) % 0.38/0.81 (define @t124 () (and @t63 (= @t29 @t62))) % 0.38/0.81 (define @t125 () (tptp.relation_rng @t1)) % 0.38/0.81 (define @t126 () (= @t2 @t125)) % 0.38/0.81 (define @t127 () (tptp.subset_complement @t1 @t2)) % 0.38/0.81 (define @t128 () (tptp.element @t2 @t79)) % 0.38/0.81 (define @t129 () (tptp.ordered_pair @t1 @t2)) % 0.38/0.81 (define @t130 () (tptp.being_limit_ordinal @t1)) % 0.38/0.81 (define @t131 () (tptp.relation_inverse @t1)) % 0.38/0.81 (define @t132 () (tptp.disjoint @t1 @t2)) % 0.38/0.81 (define @t133 () (tptp.relation_composition @t1 @t2)) % 0.38/0.81 (define @t134 () (tptp.complements_of_subsets @t1 @t2)) % 0.38/0.81 (define @t135 () (tptp.powerset @t79)) % 0.38/0.81 (define @t136 () (tptp.element @t2 @t135)) % 0.38/0.81 (define @t137 () (not @t40)) % 0.38/0.81 (define @t138 () (tptp.function_inverse @t1)) % 0.38/0.81 (define @t139 () (tptp.reflexive @t1)) % 0.38/0.81 (define @t140 () (tptp.relation @t131)) % 0.38/0.81 (define @t141 () (tptp.relation @t133)) % 0.38/0.81 (define @t142 () (and @t16 @t37)) % 0.38/0.81 (define @t143 () (tptp.union_of_subsets @t1 @t2)) % 0.38/0.81 (define @t144 () (tptp.relation @t35)) % 0.38/0.81 (define @t145 () (tptp.meet_of_subsets @t1 @t2)) % 0.38/0.81 (define @t146 () (tptp.subset_difference @t1 @t2 @t29)) % 0.38/0.81 (define @t147 () (tptp.element @t29 @t79)) % 0.38/0.81 (define @t148 () (and @t128 @t147)) % 0.38/0.81 (define @t149 () (tptp.relation @t47)) % 0.38/0.81 (define @t150 () (tptp.relation_composition @t2 @t1)) % 0.38/0.81 (define @t151 () (and @t10 @t37)) % 0.38/0.81 (define @t152 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.38/0.81 (define @t153 () (tptp.relation tptp.empty_set)) % 0.38/0.81 (define @t154 () (tptp.empty tptp.empty_set)) % 0.38/0.81 (define @t155 () (tptp.relation_empty_yielding @t1)) % 0.38/0.81 (define @t156 () (and @t16 @t155)) % 0.38/0.81 (define @t157 () (tptp.function @t2)) % 0.38/0.81 (define @t158 () (not (tptp.empty @t70))) % 0.38/0.81 (define @t159 () (not @t81)) % 0.38/0.81 (define @t160 () (tptp.empty @t51)) % 0.38/0.81 (define @t161 () (and @t83 @t16)) % 0.38/0.81 (define @t162 () (tptp.empty @t125)) % 0.38/0.81 (define @t163 () (tptp.in @t2 @t60)) % 0.38/0.81 (define @t164 () (tptp.disjoint @t69 @t2)) % 0.38/0.81 (define @t165 () (not @t5)) % 0.38/0.81 (define @t166 () (tptp.in (tptp.ordered_pair @t29 @t2) @t1)) % 0.38/0.81 (define @t167 () (not @t119)) % 0.38/0.81 (define @t168 () (tptp.singleton @t2)) % 0.38/0.81 (define @t169 () (tptp.union @t2)) % 0.38/0.81 (define @t170 () (tptp.in @t1 @t29)) % 0.38/0.81 (define @t171 () (tptp.element @t1 (tptp.powerset @t2))) % 0.38/0.81 (define @t172 () (tptp.relation_dom @t29)) % 0.38/0.81 (define @t173 () (tptp.relation_dom_restriction @t29 @t1)) % 0.38/0.81 (define @t174 () (tptp.in @t2 (tptp.relation_dom @t173))) % 0.38/0.81 (define @t175 () (and @t48 (tptp.function @t29))) % 0.38/0.81 (define @t176 () (tptp.set_difference @t2 @t29)) % 0.38/0.81 (define @t177 () (= @t1 @t29)) % 0.38/0.81 (define @t178 () (tptp.relation_rng @t29)) % 0.38/0.81 (define @t179 () (tptp.relation_rng @t58)) % 0.38/0.81 (define @t180 () (tptp.relation_rng @t2)) % 0.38/0.81 (define @t181 () (tptp.cartesian_product2 @t1 @t29)) % 0.38/0.81 (define @t182 () (forall @t59 (not (and @t107 (not (tptp.are_equipotent @t29 @t2)) @t98)))) % 0.38/0.81 (define @t183 () (tptp.powerset @t29)) % 0.38/0.81 (define @t184 () (forall @t34 (=> (and @t72 (tptp.subset @t28 @t29)) @t44))) % 0.38/0.81 (define @t185 () (tptp.relation_dom_restriction @t29 @t2)) % 0.38/0.81 (define @t186 () (tptp.relation_image @t2 @t1)) % 0.38/0.81 (define @t187 () (tptp.relation_inverse_image @t2 @t1)) % 0.38/0.81 (define @t188 () (tptp.relation_image @t2 @t187)) % 0.38/0.81 (define @t189 () (and @t37 @t157)) % 0.38/0.81 (define @t190 () (tptp.relation_dom @t2)) % 0.38/0.81 (define @t191 () (tptp.set_intersection2 @t190 @t1)) % 0.38/0.81 (define @t192 () (tptp.subset @t1 @t180)) % 0.38/0.81 (define @t193 () (tptp.relation_rng @t133)) % 0.38/0.81 (define @t194 () (tptp.relation_inverse_image @t29 @t2)) % 0.38/0.81 (define @t195 () (tptp.set_intersection2 @t2 @t29)) % 0.38/0.81 (define @t196 () (tptp.subset @t1 @t29)) % 0.38/0.81 (define @t197 () (tptp.element @t1 @t2)) % 0.38/0.81 (define @t198 () (tptp.in @t1 @t172)) % 0.38/0.81 (define @t199 () (tptp.in @t129 @t29)) % 0.38/0.81 (define @t200 () (tptp.apply @t29 @t1)) % 0.38/0.81 (define @t201 () (tptp.relation_composition @t29 @t2)) % 0.38/0.81 (define @t202 () (tptp.in @t1 (tptp.relation_dom @t201))) % 0.38/0.81 (define @t203 () (tptp.relation_field @t29)) % 0.38/0.81 (define @t204 () (tptp.apply @t2 @t29)) % 0.38/0.81 (define @t205 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.38/0.81 (define @t206 () (and @t31 @t72)) % 0.38/0.81 (define @t207 () (not @t132)) % 0.38/0.81 (define @t208 () (tptp.succ @t2)) % 0.38/0.81 (define @t209 () (= @t1 @t208)) % 0.38/0.81 (define @t210 () (tptp.subset_complement @t1 @t29)) % 0.38/0.81 (define @t211 () (tptp.disjoint @t2 @t29)) % 0.38/0.81 (define @t212 () (tptp.relation_dom @t133)) % 0.38/0.81 (define @t213 () (tptp.element @t2 @t183)) % 0.38/0.81 (define @t214 () (tptp.in @t29 @t24)) % 0.38/0.81 (define @t215 () (and (tptp.in @t29 @t125) (= @t28 @t204))) % 0.38/0.81 (define @t216 () (tptp.function_inverse @t2)) % 0.38/0.81 (define @t217 () (= @t92 (tptp.is_well_founded_in @t1 @t60))) % 0.38/0.81 (define @t218 () (forall @t11 (=> @t16 @t217))) % 0.38/0.81 (define @t219 () (not @t218)) % 0.38/0.81 (define @t220 () (= @t125 tptp.empty_set)) % 0.38/0.81 (define @t221 () (= @t51 tptp.empty_set)) % 0.38/0.81 (define @t222 () (= (tptp.apply @t173 @t2) (tptp.apply @t29 @t2))) % 0.38/0.81 (define @t223 () (tptp.relation_dom_restriction @t2 @t1)) % 0.38/0.81 (define @t224 () (= @t69 (tptp.unordered_pair @t2 @t29))) % 0.38/0.81 (define @t225 () (forall @t59 (or @t98 (not @t85)))) % 0.38/0.81 (define @t226 () (not @t225)) % 0.38/0.81 (define @t227 () (not @t88)) % 0.38/0.81 (define @t228 () (= @t92 (forall @t71 (or @t227 @t73 @t226)))) % 0.38/0.81 (define @t229 () (not @t87)) % 0.38/0.81 (define @t230 () (or @t227 @t229 @t226)) % 0.38/0.81 (define @t231 () (not @t16)) % 0.38/0.81 (define @t232 () (@quantifiers_skolemize (forall @t11 (or @t231 @t217)) 0)) % 0.38/0.81 (define @t233 () (tptp.relation @t232)) % 0.38/0.81 (define @t234 () (tptp.relation_field @t232)) % 0.38/0.81 (define @t235 () (tptp.is_well_founded_in @t232 @t234)) % 0.38/0.81 (define @t236 () (tptp.well_founded_relation @t232)) % 0.38/0.81 (define @t237 () (= @t236 @t235)) % 0.38/0.81 (define @t238 () (not @t233)) % 0.38/0.81 (define @t239 () (or @t238 @t237)) % 0.38/0.81 (define @t240 () (@list true)) % 0.38/0.81 (define @t241 () (@list @t239)) % 0.38/0.81 (define @t242 () (forall @t71 (or (not (tptp.subset @t2 @t234)) @t73 (not (forall @t59 (or @t98 (not (tptp.disjoint (tptp.fiber @t232 @t29) @t2)))))))) % 0.38/0.81 (define @t243 () (= @t236 @t242)) % 0.38/0.81 (define @t244 () (or @t238 @t243)) % 0.38/0.81 (define @t245 () (@list false false)) % 0.38/0.81 (define @t246 () (not @t243)) % 0.38/0.81 (define @t247 () (not @t236)) % 0.38/0.81 (define @t248 () (not @t53)) % 0.38/0.81 (define @t249 () (forall @t54 (or @t248 (not @t103)))) % 0.38/0.81 (define @t250 () (not @t249)) % 0.38/0.81 (define @t251 () (@var "BOUND_VARIABLE_9500" $$unsorted)) % 0.38/0.81 (define @t252 () (= (tptp.is_well_founded_in @t1 @t251) (forall @t59 (or (not (tptp.subset @t29 @t251)) @t105 @t250)))) % 0.38/0.81 (define @t253 () (or @t231 @t252)) % 0.38/0.81 (define @t254 () (@list @t251)) % 0.38/0.81 (define @t255 () (forall @t254 @t253)) % 0.38/0.81 (define @t256 () (forall @t254 @t252)) % 0.38/0.81 (define @t257 () (or @t231 @t256)) % 0.38/0.81 (define @t258 () (not @t107)) % 0.38/0.81 (define @t259 () (forall @t71 (= @t111 (forall @t59 (or @t258 @t105 @t250))))) % 0.38/0.81 (define @t260 () (not @t106)) % 0.38/0.81 (define @t261 () (or @t258 @t260 @t250)) % 0.38/0.81 (define @t262 () (forall @t59 (or (not (tptp.subset @t29 @t234)) @t105 (not (forall @t54 (or @t248 (not (tptp.disjoint (tptp.fiber @t232 @t28) @t29)))))))) % 0.38/0.81 (define @t263 () (= @t235 @t262)) % 0.38/0.81 (define @t264 () (or @t238 @t263)) % 0.38/0.81 (define @t265 () (not @t263)) % 0.38/0.81 (define @t266 () (@var "BOUND_VARIABLE_21787" $$unsorted)) % 0.38/0.81 (define @t267 () (@var "BOUND_VARIABLE_21786" $$unsorted)) % 0.38/0.81 (define @t268 () (@list @t267 @t266)) % 0.38/0.81 (define @t269 () (not @t242)) % 0.38/0.81 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.38/0.81 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 0.38/0.81 (assume @p3 (forall @t11 (=> @t10 @t9))) % 0.38/0.81 (assume @p4 (forall @t11 (=> @t15 @t14))) % 0.38/0.81 (assume @p5 (forall @t11 (=> @t10 @t16))) % 0.38/0.81 (assume @p6 (forall @t11 (=> @t19 @t18))) % 0.38/0.81 (assume @p7 (forall @t11 (=> @t14 @t15))) % 0.38/0.81 (assume @p8 (forall @t11 (=> @t10 @t20))) % 0.38/0.81 (assume @p9 (forall @t6 (= @t21 (tptp.unordered_pair @t2 @t1)))) % 0.38/0.81 (assume @p10 (forall @t6 (= @t23 @t22))) % 0.38/0.81 (assume @p11 (forall @t6 (= @t24 (tptp.set_intersection2 @t2 @t1)))) % 0.38/0.81 (assume @p12 (forall @t6 (=> @t27 (or @t25 (tptp.ordinal_subset @t2 @t1))))) % 0.38/0.81 (assume @p13 (forall @t6 (=> @t37 (= @t36 (forall @t34 (= @t33 (and @t31 @t30))))))) % 0.38/0.81 (assume @p14 (forall @t6 (= @t40 (and @t39 @t38)))) % 0.38/0.81 (assume @p15 (forall @t11 (=> @t16 (forall @t49 (=> @t48 (= (= @t29 @t47) (forall @t46 (= @t45 (and @t44 @t43))))))))) % 0.38/0.81 (assume @p16 (forall @t11 (=> @t56 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in @t41 @t51) @t50 (= @t28 (tptp.apply @t1 @t41))))))))))) % 0.38/0.81 (assume @p17 (forall @t6 (=> @t37 (forall @t59 (=> @t48 (= (= @t29 @t58) (forall @t46 (= @t45 (and @t57 (tptp.in @t42 @t2)))))))))) % 0.38/0.81 (assume @p18 (forall @t11 (=> @t16 (= @t61 (tptp.is_antisymmetric_in @t1 @t60))))) % 0.38/0.81 (assume @p19 (forall @t11 (=> @t56 (forall @t49 (= @t64 (forall @t54 (= @t53 (and @t63 (tptp.in @t62 @t2))))))))) % 0.38/0.81 (assume @p20 (forall @t11 (=> @t16 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in (tptp.ordered_pair @t41 @t28) @t1) @t50))))))))) % 0.38/0.81 (assume @p21 (forall @t11 (=> @t16 (forall @t49 (= @t64 (forall @t54 (= @t53 (exists @t52 (and @t43 @t50))))))))) % 0.38/0.81 (assume @p22 (forall @t11 (=> @t16 (= @t65 (tptp.is_connected_in @t1 @t60))))) % 0.38/0.81 (assume @p23 (forall @t11 (=> @t16 (= @t66 (tptp.is_transitive_in @t1 @t60))))) % 0.38/0.81 (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))))))))) % 0.38/0.81 (assume @p25 (forall @t11 (= @t70 (tptp.set_union2 @t1 @t69)))) % 0.38/0.81 (assume @p26 (forall @t11 (= @t16 (forall @t71 (not (and @t3 (forall @t34 (not (= @t2 @t32))))))))) % 0.38/0.81 (assume @p27 (forall @t11 (=> @t16 (forall @t71 (= (tptp.is_reflexive_in @t1 @t2) (forall @t59 (=> @t72 (tptp.in (tptp.ordered_pair @t29 @t29) @t1)))))))) % 0.38/0.81 (assume @p28 (forall @t6 (and (=> @t78 (= @t74 (forall @t59 (= @t72 (forall @t54 (=> @t77 @t76)))))) (=> @t75 (= @t74 @t73))))) % 0.38/0.81 (assume @p29 (forall @t6 (= (= @t2 @t69) (forall @t59 (= @t72 (= @t29 @t1)))))) % 0.38/0.81 (assume @p30 (forall @t11 (= @t75 (forall @t71 @t4)))) % 0.38/0.81 (assume @p31 (forall @t6 (= (= @t2 @t79) (forall @t59 (= @t72 (tptp.subset @t29 @t1)))))) % 0.38/0.81 (assume @p32 (forall @t11 (= @t13 (forall @t71 (=> @t3 @t38))))) % 0.38/0.81 (assume @p33 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t40 (forall @t34 (= @t80 @t33)))))))) % 0.38/0.81 (assume @p34 (forall @t6 (and (=> @t83 (= @t82 @t3)) (=> @t10 (= @t82 @t81))))) % 0.38/0.81 (assume @p35 (forall @t84 (= (= @t29 @t21) (forall @t54 (= @t53 (or (= @t28 @t1) (= @t28 @t2))))))) % 0.38/0.81 (assume @p36 @t95) % 0.38/0.81 (assume @p37 (forall @t84 (= (= @t29 @t23) (forall @t54 (= @t53 (or @t77 @t44)))))) % 0.38/0.81 (assume @p38 (forall @t84 (= (= @t29 @t97) (forall @t54 (= @t53 (exists (@list @t41 @t96) (and @t57 (tptp.in @t96 @t2) (= @t28 (tptp.ordered_pair @t41 @t96))))))))) % 0.38/0.81 (assume @p39 (forall @t11 (= @t12 (forall @t49 (not (and @t3 @t31 (not @t101) @t100 @t98)))))) % 0.38/0.81 (assume @p40 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t39 (forall @t34 (=> @t80 @t33)))))))) % 0.38/0.81 (assume @p41 (forall @t6 (= @t39 @t102))) % 0.38/0.81 (assume @p42 @t115) % 0.38/0.81 (assume @p43 (forall @t84 (= (= @t29 @t24) (forall @t54 (= @t53 (and @t77 @t44)))))) % 0.38/0.81 (assume @p44 (forall @t11 (=> @t56 (forall @t49 (and (=> @t118 (= @t117 @t119)) (=> (not @t118) (= @t117 @t105))))))) % 0.38/0.81 (assume @p45 (forall @t11 (= @t15 @t14))) % 0.38/0.81 (assume @p46 (forall @t11 (=> @t16 (forall @t71 (= (= @t2 @t51) (forall @t59 (= @t72 (exists @t54 @t80)))))))) % 0.38/0.81 (assume @p47 (forall @t11 (=> @t16 (forall @t71 (= (tptp.is_antisymmetric_in @t1 @t2) (forall @t34 (=> (and @t72 @t44 @t80 @t120) @t30))))))) % 0.38/0.81 (assume @p48 (forall @t11 (= @t121 @t1))) % 0.38/0.81 (assume @p49 (forall @t6 (= (= @t2 @t122) (forall @t59 (= @t72 (exists @t54 (and @t76 @t77))))))) % 0.38/0.81 (assume @p50 (forall @t84 (= (= @t29 @t123) (forall @t54 (= @t53 (and @t77 (not @t44))))))) % 0.38/0.81 (assume @p51 (forall @t11 (=> @t56 (forall @t71 (= @t126 (forall @t59 (= @t72 (exists @t54 @t124)))))))) % 0.38/0.81 (assume @p52 (forall @t11 (=> @t16 (forall @t71 (= @t126 (forall @t59 (= @t72 (exists @t54 @t120)))))))) % 0.38/0.81 (assume @p53 (forall @t6 (=> @t128 (= @t127 @t123)))) % 0.38/0.81 (assume @p54 (forall @t6 (= @t129 (tptp.unordered_pair @t21 @t69)))) % 0.38/0.81 (assume @p55 (forall @t11 (= @t130 (= @t1 @t122)))) % 0.38/0.81 (assume @p56 (forall @t11 (=> @t16 (= @t60 (tptp.set_union2 @t51 @t125))))) % 0.38/0.81 (assume @p57 (forall @t11 (=> @t16 (forall @t71 (= (tptp.is_connected_in @t1 @t2) (forall @t34 (not (and @t72 @t44 (not @t30) (not @t80) (not @t120))))))))) % 0.38/0.81 (assume @p58 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= (= @t2 @t131) (forall @t34 (= @t33 @t120)))))))) % 0.38/0.81 (assume @p59 (forall @t6 (= @t132 (= @t24 tptp.empty_set)))) % 0.38/0.81 (assume @p60 (forall @t11 (=> @t56 (= @t17 (forall @t49 (=> (and @t118 (tptp.in @t29 @t51) (= @t116 (tptp.apply @t1 @t29))) @t99)))))) % 0.38/0.81 (assume @p61 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (forall @t59 (=> @t48 (= (= @t29 @t133) (forall @t46 (= @t45 (exists (@list @t96) (and (tptp.in (tptp.ordered_pair @t28 @t96) @t1) (tptp.in (tptp.ordered_pair @t96 @t41) @t2))))))))))))) % 0.38/0.81 (assume @p62 (forall @t11 (=> @t16 (forall @t71 (= (tptp.is_transitive_in @t1 @t2) (forall (@list @t29 @t28 @t41) (=> (and @t72 @t44 @t50 @t80 @t43) (tptp.in (tptp.ordered_pair @t29 @t41) @t1)))))))) % 0.38/0.81 (assume @p63 (forall @t6 (=> @t136 (forall @t59 (=> (tptp.element @t29 @t135) (= (= @t29 @t134) (forall @t54 (=> (tptp.element @t28 @t79) (= @t53 (tptp.in (tptp.subset_complement @t1 @t28) @t2)))))))))) % 0.38/0.81 (assume @p64 (forall @t6 (= @t8 (and @t39 @t137)))) % 0.38/0.81 (assume @p65 (forall @t11 (=> @t56 (=> @t17 (= @t138 @t131))))) % 0.38/0.81 (assume @p66 (forall @t11 (=> @t16 (= @t139 (tptp.is_reflexive_in @t1 @t60))))) % 0.38/0.81 (assume @p67 true) % 0.38/0.81 (assume @p68 (forall @t11 (=> @t56 (and (tptp.relation @t138) (tptp.function @t138))))) % 0.38/0.81 (assume @p69 (forall @t11 (tptp.element @t121 @t79))) % 0.38/0.81 (assume @p70 (forall @t6 (=> @t128 (tptp.element @t127 @t79)))) % 0.38/0.81 (assume @p71 (forall @t11 (=> @t16 @t140))) % 0.38/0.81 (assume @p72 (forall @t6 (=> @t142 @t141))) % 0.38/0.81 (assume @p73 (forall @t6 (=> @t136 (tptp.element @t143 @t79)))) % 0.38/0.81 (assume @p74 (forall @t11 @t144)) % 0.38/0.81 (assume @p75 (forall @t6 (=> @t136 (tptp.element @t145 @t79)))) % 0.38/0.81 (assume @p76 (forall @t84 (=> @t148 (tptp.element @t146 @t79)))) % 0.38/0.81 (assume @p77 (forall @t6 (=> @t16 @t149))) % 0.38/0.81 (assume @p78 (forall @t6 (=> @t136 (tptp.element @t134 @t135)))) % 0.38/0.81 (assume @p79 (forall @t6 (=> @t37 (tptp.relation @t58)))) % 0.38/0.81 (assume @p80 (forall @t11 (exists @t71 @t82))) % 0.38/0.81 (assume @p81 (forall @t6 (=> @t151 (and (tptp.empty @t150) (tptp.relation @t150))))) % 0.38/0.81 (assume @p82 (forall @t11 (=> @t10 (and (tptp.empty @t131) @t140)))) % 0.38/0.81 (assume @p83 (and @t154 @t153 @t152)) % 0.38/0.81 (assume @p84 (forall @t6 (=> @t156 (and @t149 (tptp.relation_empty_yielding @t47))))) % 0.38/0.81 (assume @p85 (forall @t6 (=> (and @t16 @t9 @t37 @t157) (and @t141 (tptp.function @t133))))) % 0.38/0.81 (assume @p86 (forall @t11 @t158)) % 0.38/0.81 (assume @p87 (forall @t6 (=> @t142 (tptp.relation @t24)))) % 0.38/0.81 (assume @p88 (forall @t11 (not (tptp.empty @t79)))) % 0.38/0.81 (assume @p89 @t154) % 0.38/0.81 (assume @p90 (forall @t6 (not (tptp.empty @t129)))) % 0.38/0.81 (assume @p91 (forall @t11 (and @t144 (tptp.function @t35)))) % 0.38/0.81 (assume @p92 (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))) % 0.38/0.81 (assume @p93 (forall @t6 (=> @t142 (tptp.relation @t23)))) % 0.38/0.81 (assume @p94 (forall @t11 (not (tptp.empty @t69)))) % 0.38/0.81 (assume @p95 (forall @t6 (=> @t83 (not (tptp.empty @t23))))) % 0.38/0.81 (assume @p96 (forall @t11 (=> @t18 (and @t140 (tptp.function @t131))))) % 0.38/0.81 (assume @p97 (forall @t11 (=> @t15 (and @t158 (tptp.epsilon_transitive @t70) (tptp.epsilon_connected @t70) (tptp.ordinal @t70))))) % 0.38/0.81 (assume @p98 (forall @t6 (=> @t142 (tptp.relation @t123)))) % 0.38/0.81 (assume @p99 (forall @t6 (not (tptp.empty @t21)))) % 0.38/0.81 (assume @p100 (forall @t6 (=> @t83 (not (tptp.empty @t22))))) % 0.38/0.81 (assume @p101 (forall @t6 (=> @t56 (and @t149 (tptp.function @t47))))) % 0.38/0.81 (assume @p102 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t122) (tptp.epsilon_connected @t122) (tptp.ordinal @t122))))) % 0.38/0.81 (assume @p103 (and @t154 @t153)) % 0.38/0.81 (assume @p104 (forall @t6 (=> (and @t83 @t159) (not (tptp.empty @t97))))) % 0.38/0.81 (assume @p105 (forall @t11 (=> @t161 (not @t160)))) % 0.38/0.81 (assume @p106 (forall @t11 (=> @t161 (not @t162)))) % 0.38/0.81 (assume @p107 (forall @t11 (=> @t10 (and @t160 (tptp.relation @t51))))) % 0.38/0.81 (assume @p108 (forall @t11 (=> @t10 (and @t162 (tptp.relation @t125))))) % 0.38/0.81 (assume @p109 (forall @t6 (=> @t151 (and (tptp.empty @t133) @t141)))) % 0.38/0.81 (assume @p110 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.38/0.81 (assume @p111 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.38/0.81 (assume @p112 (forall @t6 (=> @t128 (= (tptp.subset_complement @t1 @t127) @t2)))) % 0.38/0.81 (assume @p113 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t131) @t1)))) % 0.38/0.81 (assume @p114 (forall @t6 (=> @t136 (= (tptp.complements_of_subsets @t1 @t134) @t2)))) % 0.38/0.81 (assume @p115 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 0.38/0.81 (assume @p116 (forall @t11 (=> @t16 (= @t139 (forall @t71 (=> @t163 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 0.38/0.81 (assume @p117 (forall @t11 (not (= @t69 tptp.empty_set)))) % 0.38/0.81 (assume @p118 (forall @t6 (=> @t5 (= (tptp.set_union2 @t69 @t2) @t2)))) % 0.38/0.81 (assume @p119 (forall @t6 (not (and @t164 @t5)))) % 0.38/0.81 (assume @p120 (forall @t6 (=> @t165 @t164))) % 0.38/0.81 (assume @p121 (forall @t11 (=> @t16 (= @t66 (forall (@list @t2 @t29 @t28) (=> (and @t119 @t80) (tptp.in (tptp.ordered_pair @t2 @t28) @t1))))))) % 0.38/0.81 (assume @p122 (forall @t6 (= (tptp.subset @t69 @t2) @t5))) % 0.38/0.81 (assume @p123 (forall @t6 (= (= @t123 tptp.empty_set) @t39))) % 0.38/0.81 (assume @p124 (forall @t6 (=> @t128 (forall @t59 (=> @t72 @t31))))) % 0.38/0.81 (assume @p125 (forall @t11 (=> @t16 (= @t61 (forall @t49 (=> (and @t119 @t166) @t99)))))) % 0.38/0.81 (assume @p126 (forall @t84 (=> @t39 (or @t31 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t29))))))) % 0.38/0.81 (assume @p127 (forall @t11 (=> @t16 (= @t65 (forall @t49 (not (and @t163 (tptp.in @t29 @t60) @t100 @t167 (not @t166)))))))) % 0.38/0.81 (assume @p128 (forall @t6 (= (tptp.subset @t1 @t168) (or @t75 (= @t1 @t168))))) % 0.38/0.81 (assume @p129 (forall @t6 (=> @t5 (tptp.subset @t1 @t169)))) % 0.38/0.81 (assume @p130 (forall @t68 (= (tptp.in @t129 (tptp.cartesian_product2 @t29 @t28)) (and @t170 (tptp.in @t2 @t28))))) % 0.38/0.81 (assume @p131 (forall @t6 (=> @t102 @t171))) % 0.38/0.81 (assume @p132 (forall @t84 (=> @t175 (= @t174 (and (tptp.in @t2 @t172) @t3))))) % 0.38/0.81 (assume @p133 (exists @t11 @t56)) % 0.38/0.81 (assume @p134 (exists @t11 @t20)) % 0.38/0.81 (assume @p135 (exists @t11 (and @t10 @t16))) % 0.38/0.81 (assume @p136 (forall @t11 (=> @t83 (exists @t71 (and @t128 @t159))))) % 0.38/0.81 (assume @p137 (exists @t11 @t10)) % 0.38/0.81 (assume @p138 (exists @t11 @t19)) % 0.38/0.81 (assume @p139 (exists @t11 (and @t16 @t9 @t17 @t10 @t13 @t12 @t15))) % 0.38/0.81 (assume @p140 (exists @t11 @t161)) % 0.38/0.81 (assume @p141 (forall @t11 (exists @t71 (and @t128 @t81)))) % 0.38/0.81 (assume @p142 (exists @t11 @t83)) % 0.38/0.81 (assume @p143 (exists @t11 @t18)) % 0.38/0.81 (assume @p144 (exists @t11 (and @t83 @t13 @t12 @t15))) % 0.38/0.81 (assume @p145 (exists @t11 @t156)) % 0.38/0.81 (assume @p146 (exists @t11 (and @t16 @t155 @t9))) % 0.38/0.81 (assume @p147 (forall @t6 (=> @t136 (= @t143 @t169)))) % 0.38/0.81 (assume @p148 (forall @t6 (=> @t136 (= @t145 (tptp.set_meet @t2))))) % 0.38/0.81 (assume @p149 (forall @t84 (=> @t148 (= @t146 @t176)))) % 0.38/0.81 (assume @p150 (forall @t6 (=> @t27 (= @t25 @t39)))) % 0.38/0.81 (assume @p151 (forall @t6 (=> @t27 (tptp.ordinal_subset @t1 @t1)))) % 0.38/0.81 (assume @p152 (forall @t6 (tptp.subset @t1 @t1))) % 0.38/0.81 (assume @p153 (forall @t6 (=> @t132 (tptp.disjoint @t2 @t1)))) % 0.38/0.81 (assume @p154 (forall @t11 (tptp.in @t1 @t70))) % 0.38/0.81 (assume @p155 (forall @t68 (not (and (= @t21 (tptp.unordered_pair @t29 @t28)) (not @t177) (not (= @t1 @t28)))))) % 0.38/0.81 (assume @p156 (forall @t84 (=> @t48 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t29))) (and @t5 (tptp.in @t1 @t178)))))) % 0.38/0.81 (assume @p157 (forall @t6 (=> @t37 (tptp.subset @t179 @t1)))) % 0.38/0.81 (assume @p158 (forall @t6 (=> @t37 (tptp.subset @t58 @t2)))) % 0.38/0.81 (assume @p159 (forall @t6 (=> @t37 (tptp.subset @t179 @t180)))) % 0.38/0.81 (assume @p160 (forall @t84 (=> @t39 (and (tptp.subset @t181 (tptp.cartesian_product2 @t2 @t29)) (tptp.subset (tptp.cartesian_product2 @t29 @t1) (tptp.cartesian_product2 @t29 @t2)))))) % 0.38/0.81 (assume @p161 (forall @t6 (=> @t37 (= @t179 (tptp.set_intersection2 @t180 @t1))))) % 0.38/0.81 (assume @p162 (forall @t68 (=> (and @t39 (tptp.subset @t29 @t28)) (tptp.subset @t181 (tptp.cartesian_product2 @t2 @t28))))) % 0.38/0.81 (assume @p163 (forall @t6 (=> @t39 (= @t23 @t2)))) % 0.38/0.81 (assume @p164 (forall @t11 (exists @t71 (and @t5 @t184 (forall @t59 (=> @t72 (tptp.in @t183 @t2))) @t182)))) % 0.38/0.81 (assume @p165 (forall @t84 (=> @t48 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t29) @t2) (tptp.relation_rng_restriction @t1 @t185))))) % 0.38/0.81 (assume @p166 (forall @t84 (=> @t48 (= (tptp.in @t1 (tptp.relation_image @t29 @t2)) (exists @t54 (and (tptp.in @t28 @t172) (tptp.in (tptp.ordered_pair @t28 @t1) @t29) @t44)))))) % 0.38/0.81 (assume @p167 (forall @t6 (=> @t37 (tptp.subset @t186 @t180)))) % 0.38/0.81 (assume @p168 (forall @t6 (=> @t189 (tptp.subset @t188 @t1)))) % 0.38/0.81 (assume @p169 (forall @t6 (=> @t37 (= @t186 (tptp.relation_image @t2 @t191))))) % 0.38/0.81 (assume @p170 (forall @t6 (=> @t37 (=> (tptp.subset @t1 @t190) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t186)))))) % 0.38/0.81 (assume @p171 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t51) @t125)))) % 0.38/0.81 (assume @p172 (forall @t6 (=> @t189 (=> @t192 (= @t188 @t1))))) % 0.38/0.81 (assume @p173 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (= @t193 (tptp.relation_image @t2 @t125))))))) % 0.38/0.81 (assume @p174 (forall @t84 (=> @t48 (= (tptp.in @t1 @t194) (exists @t54 (and (tptp.in @t28 @t178) (tptp.in (tptp.ordered_pair @t1 @t28) @t29) @t44)))))) % 0.38/0.81 (assume @p175 (forall @t6 (=> @t37 (tptp.subset @t187 @t190)))) % 0.38/0.81 (assume @p176 (forall @t6 (=> @t37 (not (and @t78 @t192 (= @t187 tptp.empty_set)))))) % 0.38/0.81 (assume @p177 (forall @t84 (=> @t48 (=> @t39 (tptp.subset (tptp.relation_inverse_image @t29 @t1) @t194))))) % 0.38/0.81 (assume @p178 (forall @t6 (tptp.subset @t24 @t1))) % 0.38/0.81 (assume @p179 (forall @t84 (=> (and @t39 @t196) (tptp.subset @t1 @t195)))) % 0.38/0.81 (assume @p180 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.38/0.81 (assume @p181 (forall @t6 (=> @t5 @t197))) % 0.38/0.81 (assume @p182 (forall @t84 (=> (and @t39 (tptp.subset @t2 @t29)) @t196))) % 0.38/0.81 (assume @p183 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 0.38/0.81 (assume @p184 (forall @t84 (=> @t48 (=> @t199 (and @t198 (tptp.in @t2 @t178)))))) % 0.38/0.81 (assume @p185 (forall @t6 (=> @t189 (forall @t59 (=> @t175 (= @t202 (and @t198 (tptp.in @t200 @t190)))))))) % 0.38/0.81 (assume @p186 (forall @t11 (=> @t13 (forall @t71 (=> @t26 (=> @t8 @t5)))))) % 0.38/0.81 (assume @p187 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t51 @t125))))) % 0.38/0.81 (assume @p188 (forall @t6 (=> @t189 (forall @t59 (=> @t175 (=> @t202 (= (tptp.apply @t201 @t1) (tptp.apply @t2 @t200)))))))) % 0.38/0.81 (assume @p189 (forall @t6 (=> @t189 (forall @t59 (=> @t175 (=> (tptp.in @t1 @t190) (= (tptp.apply (tptp.relation_composition @t2 @t29) @t1) (tptp.apply @t29 (tptp.apply @t2 @t1))))))))) % 0.38/0.81 (assume @p190 (forall @t6 (=> @t26 (=> @t5 @t15)))) % 0.38/0.81 (assume @p191 (forall @t11 (=> @t15 (forall @t71 (=> @t26 (not (and @t165 @t137 @t4))))))) % 0.38/0.81 (assume @p192 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> @t39 (and (tptp.subset @t51 @t190) (tptp.subset @t125 @t180)))))))) % 0.38/0.81 (assume @p193 (forall @t84 (=> @t39 (tptp.subset (tptp.set_intersection2 @t1 @t29) @t195)))) % 0.38/0.81 (assume @p194 (forall @t6 (=> @t39 (= @t24 @t1)))) % 0.38/0.81 (assume @p195 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.38/0.81 (assume @p196 (forall @t6 (=> @t197 (or @t81 @t5)))) % 0.38/0.81 (assume @p197 (forall @t6 (=> (forall @t59 (= @t31 @t72)) @t40))) % 0.38/0.81 (assume @p198 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 0.38/0.81 (assume @p199 (forall @t84 (=> @t48 (=> @t199 (and (tptp.in @t1 @t203) (tptp.in @t2 @t203)))))) % 0.38/0.81 (assume @p200 (forall @t11 (=> (forall @t71 (=> @t3 (and @t26 @t38))) @t15))) % 0.38/0.81 (assume @p201 (forall @t6 (=> @t26 (not (and @t39 @t78 (forall @t59 (=> (tptp.ordinal @t29) (not (and @t31 (forall @t54 (=> (tptp.ordinal @t28) (=> @t77 (tptp.ordinal_subset @t29 @t28))))))))))))) % 0.38/0.81 (assume @p202 (forall @t11 (=> @t15 (forall @t71 (=> @t26 (= @t5 (tptp.ordinal_subset @t70 @t2))))))) % 0.38/0.81 (assume @p203 (forall @t84 (=> @t39 (tptp.subset (tptp.set_difference @t1 @t29) @t176)))) % 0.38/0.81 (assume @p204 (forall @t68 (=> (= @t129 @t32) (and @t177 (= @t2 @t28))))) % 0.38/0.81 (assume @p205 (forall @t6 (=> @t189 (= @t36 (and (= @t190 @t1) (forall @t59 (=> @t31 (= @t204 @t29)))))))) % 0.38/0.81 (assume @p206 (forall @t6 (=> @t3 (= (tptp.apply @t35 @t2) @t2)))) % 0.38/0.81 (assume @p207 (forall @t6 (tptp.subset @t123 @t1))) % 0.38/0.81 (assume @p208 (forall @t11 (=> @t16 (and (= @t125 (tptp.relation_dom @t131)) (= @t51 (tptp.relation_rng @t131)))))) % 0.38/0.81 (assume @p209 (forall @t84 (= (tptp.subset @t21 @t29) (and @t170 @t101)))) % 0.38/0.81 (assume @p210 (forall @t6 (= @t205 @t23))) % 0.38/0.81 (assume @p211 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.38/0.81 (assume @p212 (forall @t84 (not (and @t5 @t101 @t31)))) % 0.38/0.81 (assume @p213 (forall @t6 (= @t171 @t39))) % 0.38/0.81 (assume @p214 (forall @t6 (and (not (and @t207 (forall @t59 (not @t206)))) (not (and (exists @t59 @t206) @t132))))) % 0.38/0.81 (assume @p215 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t75))) % 0.38/0.81 (assume @p216 (forall @t6 (= (tptp.set_difference @t23 @t2) @t123))) % 0.38/0.81 (assume @p217 (forall @t11 (=> @t15 (= @t130 (forall @t71 (=> @t26 (=> @t3 (tptp.in @t208 @t1)))))))) % 0.38/0.81 (assume @p218 (forall @t11 (=> @t15 (and (not (and (not @t130) (forall @t71 (=> @t26 (not @t209))))) (not (and (exists @t71 (and @t26 @t209)) @t130)))))) % 0.38/0.81 (assume @p219 (forall @t6 (=> @t128 (forall @t59 (=> @t147 (= @t211 (tptp.subset @t2 @t210))))))) % 0.38/0.81 (assume @p220 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (tptp.subset @t212 @t51)))))) % 0.38/0.81 (assume @p221 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (tptp.subset @t193 @t180)))))) % 0.38/0.81 (assume @p222 (forall @t6 (=> @t39 (= @t2 @t205)))) % 0.38/0.81 (assume @p223 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> (tptp.subset @t125 @t190) (= @t212 @t51))))))) % 0.38/0.81 (assume @p224 (forall @t6 (=> @t136 (not (and @t87 (= @t134 tptp.empty_set)))))) % 0.38/0.81 (assume @p225 (forall @t11 (=> @t16 (forall @t71 (=> @t37 (=> (tptp.subset @t51 @t180) (= (tptp.relation_rng @t150) @t125))))))) % 0.38/0.81 (assume @p226 (forall @t6 (=> @t136 (=> @t87 (= (tptp.subset_difference @t1 @t121 @t143) (tptp.meet_of_subsets @t1 @t134)))))) % 0.38/0.81 (assume @p227 (forall @t6 (=> @t136 (=> @t87 (= (tptp.union_of_subsets @t1 @t134) (tptp.subset_difference @t1 @t121 @t145)))))) % 0.38/0.81 (assume @p228 (forall @t6 (= (tptp.set_difference @t1 @t123) @t24))) % 0.38/0.81 (assume @p229 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.38/0.81 (assume @p230 (forall @t84 (=> (and @t5 @t213) (tptp.element @t1 @t29)))) % 0.38/0.81 (assume @p231 (forall @t6 (and (not (and @t207 (forall @t59 (not @t214)))) (not (and (exists @t59 @t214) @t132))))) % 0.38/0.81 (assume @p232 (forall @t11 (=> @t78 (forall @t71 (=> @t128 (forall @t59 (=> (tptp.element @t29 @t1) (=> @t98 (tptp.in @t29 @t127))))))))) % 0.38/0.81 (assume @p233 (forall @t11 (=> @t56 (=> @t17 (forall @t71 (=> @t189 (= (= @t2 @t138) (and (= @t190 @t125) (forall @t34 (and (=> @t215 @t124) (=> @t124 @t215))))))))))) % 0.38/0.81 (assume @p234 (forall @t84 (=> @t147 (not (and (tptp.in @t2 @t210) @t101))))) % 0.38/0.81 (assume @p235 (forall @t11 (=> @t56 (=> @t17 (and (= @t125 (tptp.relation_dom @t138)) (= @t51 (tptp.relation_rng @t138))))))) % 0.38/0.81 (assume @p236 (forall @t11 (=> @t16 (=> (forall @t49 @t167) @t75)))) % 0.38/0.81 (assume @p237 (forall @t6 (=> @t189 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t180)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t216 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t216 @t2) @t1))))))) % 0.38/0.81 (assume @p238 (forall @t84 (not (and @t5 @t213 (tptp.empty @t29))))) % 0.38/0.81 (assume @p239 @t219) % 0.38/0.81 (assume @p240 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.38/0.81 (assume @p241 (forall @t6 (not (and @t39 @t7)))) % 0.38/0.81 (assume @p242 (forall @t11 (=> @t56 (=> @t17 (tptp.one_to_one @t138))))) % 0.38/0.81 (assume @p243 (forall @t84 (=> (and @t39 @t211) (tptp.disjoint @t1 @t29)))) % 0.38/0.81 (assume @p244 (forall @t11 (=> @t16 (=> (or @t221 @t220) @t75)))) % 0.38/0.81 (assume @p245 (forall @t11 (=> @t16 (= @t221 @t220)))) % 0.38/0.81 (assume @p246 (forall @t6 (= (= (tptp.set_difference @t1 @t168) @t1) @t4))) % 0.38/0.81 (assume @p247 (forall @t6 (=> @t189 (forall @t59 (=> @t175 (= (= @t2 @t173) (and (= @t190 (tptp.set_intersection2 @t172 @t1)) (forall @t54 (=> (tptp.in @t28 @t190) (= (tptp.apply @t2 @t28) (tptp.apply @t29 @t28))))))))))) % 0.38/0.81 (assume @p248 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t69))) % 0.38/0.81 (assume @p249 (forall @t11 (=> @t10 @t75))) % 0.38/0.81 (assume @p250 (forall @t6 (=> (tptp.subset @t69 @t168) @t40))) % 0.38/0.81 (assume @p251 (forall @t84 (=> @t175 (=> @t174 @t222)))) % 0.38/0.81 (assume @p252 (forall @t11 (and (= (tptp.relation_dom @t35) @t1) (= (tptp.relation_rng @t35) @t1)))) % 0.38/0.81 (assume @p253 (forall @t84 (=> @t175 (=> @t3 @t222)))) % 0.38/0.81 (assume @p254 (forall @t68 (=> (tptp.relation @t28) (= (tptp.in @t129 (tptp.relation_composition (tptp.identity_relation @t29) @t28)) (and @t170 (tptp.in @t129 @t28)))))) % 0.38/0.81 (assume @p255 (forall @t6 (not (and @t5 @t81)))) % 0.38/0.81 (assume @p256 (forall @t6 (not (and @t5 (forall @t59 (not (and @t72 (forall @t54 (not (and @t44 @t53)))))))))) % 0.38/0.81 (assume @p257 (forall @t6 (tptp.subset @t1 @t23))) % 0.38/0.81 (assume @p258 (forall @t6 (= @t132 (= @t123 @t1)))) % 0.38/0.81 (assume @p259 (forall @t84 (=> @t48 (= (tptp.in @t1 (tptp.relation_dom @t185)) (and @t5 @t198))))) % 0.38/0.81 (assume @p260 (forall @t6 (=> @t37 (tptp.subset @t223 @t2)))) % 0.38/0.81 (assume @p261 (forall @t6 (not (and @t10 @t137 @t81)))) % 0.38/0.81 (assume @p262 (forall @t84 (=> @t175 (= @t199 (and @t198 (= @t2 @t200)))))) % 0.38/0.81 (assume @p263 (forall @t84 (=> (and @t39 @t107) (tptp.subset (tptp.set_union2 @t1 @t29) @t2)))) % 0.38/0.81 (assume @p264 (forall @t84 (=> @t224 @t40))) % 0.38/0.81 (assume @p265 (forall @t6 (=> @t37 (= (tptp.relation_dom @t223) @t191)))) % 0.38/0.81 (assume @p266 (forall @t6 (=> @t37 (= @t223 (tptp.relation_composition @t35 @t2))))) % 0.38/0.81 (assume @p267 (forall @t6 (=> @t37 (tptp.subset (tptp.relation_rng @t223) @t180)))) % 0.38/0.81 (assume @p268 (forall @t11 (= (tptp.union @t79) @t1))) % 0.38/0.81 (assume @p269 (forall @t11 (exists @t71 (and @t5 @t184 (forall @t59 (not (and @t72 (forall @t54 (not (and @t44 (forall @t52 (=> (tptp.subset @t41 @t29) @t67)))))))) @t182)))) % 0.38/0.81 (assume @p270 (forall @t84 (=> @t224 @t99))) % 0.38/0.81 (step @p271 :rule bool-impl-elim :args (@t16 @t228)) % 0.38/0.81 (step @p272 :rule cong :premises (@p271) :args ((forall @t11 (=> @t16 @t228)))) % 0.38/0.81 (step @p273 :rule refl :args (@t226)) % 0.38/0.81 (step @p274 :rule bool-double-not-elim :args (@t73)) % 0.38/0.81 (step @p275 :rule refl :args (@t227)) % 0.38/0.81 (step @p276 :rule nary_cong :premises (@p275 @p274 @p273) :args (@t230)) % 0.38/0.81 (step @p277 :rule aci_norm :args ((= (or @t227 (or @t229 @t226)) @t230))) % 0.38/0.81 (step @p278 :rule trans :premises (@p277 @p276)) % 0.38/0.81 (step @p279 :rule bool-and-de-morgan :args (@t87 @t225 true)) % 0.38/0.81 (step @p280 :rule nary_cong :premises (@p275 @p279) :args ((or @t227 (not (and @t87 @t225))))) % 0.38/0.81 (step @p281 :rule bool-and-de-morgan :args (@t88 @t87 (and @t225))) % 0.38/0.81 (step @p282 :rule trans :premises (@p281 @p280)) % 0.38/0.81 (step @p283 :rule trans :premises (@p282 @p278)) % 0.38/0.81 (step @p284 :rule cong :premises (@p283) :args ((forall @t71 (not (and @t88 @t87 @t225))))) % 0.38/0.81 (step @p285 :rule bool-and-de-morgan :args (@t72 @t85 true)) % 0.38/0.81 (step @p286 :rule cong :premises (@p285) :args (@t86)) % 0.38/0.81 (step @p287 :rule refl :args (@t87)) % 0.38/0.81 (step @p288 :rule refl :args (@t88)) % 0.38/0.81 (step @p289 :rule nary_cong :premises (@p288 @p287 @p286) :args (@t89)) % 0.38/0.81 (step @p290 :rule cong :premises (@p289) :args (@t90)) % 0.38/0.81 (step @p291 :rule cong :premises (@p290) :args (@t91)) % 0.38/0.81 (step @p292 :rule trans :premises (@p291 @p284)) % 0.38/0.81 (step @p293 :rule refl :args (@t92)) % 0.38/0.81 (step @p294 :rule cong :premises (@p293 @p292) :args (@t93)) % 0.38/0.81 (step @p295 :rule refl :args (@t16)) % 0.38/0.81 (step @p296 :rule cong :premises (@p295 @p294) :args (@t94)) % 0.38/0.81 (step @p297 :rule cong :premises (@p296) :args (@t95)) % 0.38/0.81 (step @p298 :rule trans :premises (@p297 @p272)) % 0.38/0.81 (step @p299 :rule eq_resolve :premises (@p36 @p298)) % 0.38/0.81 (step @p300 :rule instantiate :premises (@p299) :args ((@list @t232))) % 0.38/0.81 (step @p301 :rule bool-impl-elim :args (@t16 @t217)) % 0.38/0.81 (step @p302 :rule cong :premises (@p301) :args (@t218)) % 0.38/0.81 (step @p303 :rule cong :premises (@p302) :args (@t219)) % 0.38/0.81 (step @p304 :rule eq_resolve :premises (@p239 @p303)) % 0.38/0.81 (step @p305 :rule skolemize :premises (@p304)) % 0.38/0.81 (step @p306 :rule bool-double-not-elim :args (@t233)) % 0.38/0.81 (step @p307 :rule refl :args (@t239)) % 0.38/0.81 (step @p308 :rule nary_cong :premises (@p307 @p306) :args ((or @t239 (not @t238)))) % 0.38/0.81 (step @p309 :rule cnf_or_neg :args (@t239 0)) % 0.38/0.81 (step @p310 :rule eq_resolve :premises (@p309 @p308)) % 0.38/0.81 (step @p311 :rule reordering :premises (@p310) :args ((or @t233 @t239))) % 0.38/0.81 (step @p312 :rule chain_m_resolution :premises (@p311 @p305) :args (@t233 @t240 @t241)) % 0.38/0.81 (step @p313 :rule cnf_or_pos :args (@t244)) % 0.38/0.81 (step @p314 :rule reordering :premises (@p313) :args ((or @t238 @t243 (not @t244)))) % 0.38/0.81 (step @p315 :rule chain_m_resolution :premises (@p314 @p312 @p300) :args (@t243 @t245 (@list @t233 @t244))) % 0.38/0.81 (step @p316 :rule cnf_or_neg :args (@t239 1)) % 0.38/0.81 (step @p317 :rule chain_m_resolution :premises (@p316 @p305) :args ((not @t237) @t240 @t241)) % 0.38/0.81 (step @p318 :rule cnf_equiv_neg2 :args (@t237)) % 0.38/0.81 (step @p319 :rule cnf_equiv_pos1 :args (@t243)) % 0.38/0.81 (step @p320 :rule reordering :premises (@p319) :args ((or @t247 @t242 @t246))) % 0.38/0.81 (step @p321 :rule quant-merge-prenex :args ((= (forall @t11 @t255) (forall (@list @t1 @t251) @t253)))) % 0.38/0.81 (step @p322 :rule alpha_equiv :args (@t256 (@list @t251) (@list @t2))) % 0.38/0.81 (step @p323 :rule refl :args (@t231)) % 0.38/0.81 (step @p324 :rule nary_cong :premises (@p323 @p322) :args (@t257)) % 0.38/0.81 (step @p325 :rule quant-miniscope-or :args ((= @t255 @t257))) % 0.38/0.81 (step @p326 :rule trans :premises (@p325 @p324)) % 0.38/0.81 (step @p327 :rule symm :premises (@p326)) % 0.38/0.81 (step @p328 :rule cong :premises (@p327) :args ((forall @t11 (or @t231 @t259)))) % 0.38/0.81 (step @p329 :rule trans :premises (@p328 @p321)) % 0.38/0.81 (step @p330 :rule bool-impl-elim :args (@t16 @t259)) % 0.38/0.81 (step @p331 :rule cong :premises (@p330) :args ((forall @t11 (=> @t16 @t259)))) % 0.38/0.81 (step @p332 :rule trans :premises (@p331 @p329)) % 0.38/0.81 (step @p333 :rule refl :args (@t250)) % 0.38/0.81 (step @p334 :rule bool-double-not-elim :args (@t105)) % 0.38/0.81 (step @p335 :rule refl :args (@t258)) % 0.38/0.81 (step @p336 :rule nary_cong :premises (@p335 @p334 @p333) :args (@t261)) % 0.38/0.81 (step @p337 :rule aci_norm :args ((= (or @t258 (or @t260 @t250)) @t261))) % 0.38/0.81 (step @p338 :rule trans :premises (@p337 @p336)) % 0.38/0.81 (step @p339 :rule bool-and-de-morgan :args (@t106 @t249 true)) % 0.38/0.81 (step @p340 :rule nary_cong :premises (@p335 @p339) :args ((or @t258 (not (and @t106 @t249))))) % 0.38/0.81 (step @p341 :rule bool-and-de-morgan :args (@t107 @t106 (and @t249))) % 0.38/0.81 (step @p342 :rule trans :premises (@p341 @p340)) % 0.38/0.81 (step @p343 :rule trans :premises (@p342 @p338)) % 0.38/0.81 (step @p344 :rule cong :premises (@p343) :args ((forall @t59 (not (and @t107 @t106 @t249))))) % 0.38/0.81 (step @p345 :rule bool-and-de-morgan :args (@t53 @t103 true)) % 0.38/0.81 (step @p346 :rule cong :premises (@p345) :args (@t104)) % 0.38/0.81 (step @p347 :rule refl :args (@t106)) % 0.38/0.81 (step @p348 :rule refl :args (@t107)) % 0.38/0.81 (step @p349 :rule nary_cong :premises (@p348 @p347 @p346) :args (@t108)) % 0.38/0.81 (step @p350 :rule cong :premises (@p349) :args (@t109)) % 0.38/0.81 (step @p351 :rule cong :premises (@p350) :args (@t110)) % 0.38/0.81 (step @p352 :rule trans :premises (@p351 @p344)) % 0.38/0.81 (step @p353 :rule refl :args (@t111)) % 0.38/0.81 (step @p354 :rule cong :premises (@p353 @p352) :args (@t112)) % 0.38/0.81 (step @p355 :rule cong :premises (@p354) :args (@t113)) % 0.38/0.81 (step @p356 :rule cong :premises (@p295 @p355) :args (@t114)) % 0.38/0.81 (step @p357 :rule cong :premises (@p356) :args (@t115)) % 0.38/0.81 (step @p358 :rule trans :premises (@p357 @p332)) % 0.38/0.81 (step @p359 :rule eq_resolve :premises (@p42 @p358)) % 0.38/0.81 (step @p360 :rule instantiate :premises (@p359) :args ((@list @t232 @t234))) % 0.38/0.81 (step @p361 :rule cnf_or_pos :args (@t264)) % 0.38/0.81 (step @p362 :rule reordering :premises (@p361) :args ((or @t238 @t263 (not @t264)))) % 0.38/0.81 (step @p363 :rule chain_m_resolution :premises (@p362 @p312 @p360) :args (@t263 @t245 (@list @t233 @t264))) % 0.38/0.81 (step @p364 :rule cnf_equiv_pos2 :args (@t263)) % 0.38/0.81 (step @p365 :rule reordering :premises (@p364) :args ((or @t235 (not @t262) @t265))) % 0.38/0.81 (step @p366 :rule alpha_equiv :args ((forall (@list @t266) (or (not (tptp.subset @t266 @t234)) (= @t266 tptp.empty_set) (not (forall (@list @t267) (or (not (tptp.in @t267 @t266)) (not (tptp.disjoint (tptp.fiber @t232 @t267) @t266))))))) @t268 (@list @t28 @t29))) % 0.38/0.81 (step @p367 :rule alpha_equiv :args (@t242 (@list @t29 @t2) @t268)) % 0.38/0.81 (step @p368 :rule trans :premises (@p367 @p366)) % 0.38/0.81 (step @p369 :rule equiv_elim1 :premises (@p368)) % 0.38/0.81 (step @p370 :rule reordering :premises (@p369) :args ((or @t262 @t269))) % 0.38/0.81 (step @p371 :rule chain_m_resolution :premises (@p370 @p365 @p363 @p320 @p315 @p318 @p317) :args (@t247 (@list true false false false true true) (@list @t262 @t263 @t242 @t243 @t235 @t237))) % 0.38/0.81 (step @p372 :rule cnf_equiv_pos2 :args (@t243)) % 0.38/0.81 (step @p373 :rule reordering :premises (@p372) :args ((or @t236 @t269 @t246))) % 0.38/0.81 (step @p374 :rule chain_m_resolution :premises (@p373 @p371 @p315) :args (@t269 (@list true false) (@list @t236 @t243))) % 0.38/0.81 (step @p375 :rule cnf_equiv_neg1 :args (@t237)) % 0.38/0.81 (step @p376 :rule reordering :premises (@p375) :args ((or @t236 @t235 @t237))) % 0.38/0.81 (step @p377 :rule chain_m_resolution :premises (@p376 @p371 @p317) :args (@t235 (@list true true) (@list @t236 @t237))) % 0.38/0.81 (step @p378 :rule cnf_equiv_pos1 :args (@t263)) % 0.38/0.81 (step @p379 :rule reordering :premises (@p378) :args ((or (not @t235) @t262 @t265))) % 0.38/0.81 (step @p380 :rule chain_m_resolution :premises (@p379 @p377 @p363) :args (@t262 @t245 (@list @t235 @t263))) % 0.38/0.81 (step @p381 :rule equiv_elim2 :premises (@p368)) % 0.38/0.81 (step @p382 false :rule chain_m_resolution :premises (@p381 @p380 @p374) :args (false (@list false true) (@list @t262 @t242))) % 0.38/0.81 ) % 0.38/0.81 % SZS output end Proof % 0.38/0.81 % cvc5 exiting %------------------------------------------------------------------------------