%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU242+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:06 AM UTC 2026 % Result : Theorem 1.43s 1.63s % Output : Proof 1.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU242+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n026.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:47:25 EDT 2026 % 0.17/0.35 % CPUTime : % 0.40/0.56 %----Proving TF0_NAR, FOF, or CNF % 1.43/1.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.43/1.63 % SZS status Theorem % 1.43/1.63 % SZS output start Proof % 1.43/1.63 ( % 1.43/1.63 (declare-sort $$unsorted 0) % 1.43/1.63 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.relation (-> $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.is_reflexive_in (-> $$unsorted $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.transitive (-> $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.function (-> $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.empty (-> $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.empty_set $$unsorted) % 1.43/1.63 (declare-const tptp.connected (-> $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 1.43/1.63 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 1.43/1.63 (declare-const tptp.is_transitive_in (-> $$unsorted $$unsorted Bool)) % 1.43/1.63 (define @t1 () (@var "A" $$unsorted)) % 1.43/1.63 (define @t2 () (@var "B" $$unsorted)) % 1.43/1.63 (define @t3 () (tptp.in @t2 @t1)) % 1.43/1.63 (define @t4 () (not @t3)) % 1.43/1.63 (define @t5 () (tptp.in @t1 @t2)) % 1.43/1.63 (define @t6 () (@list @t1 @t2)) % 1.43/1.63 (define @t7 () (tptp.proper_subset @t2 @t1)) % 1.43/1.63 (define @t8 () (tptp.proper_subset @t1 @t2)) % 1.43/1.63 (define @t9 () (tptp.function @t1)) % 1.43/1.63 (define @t10 () (tptp.empty @t1)) % 1.43/1.63 (define @t11 () (@list @t1)) % 1.43/1.63 (define @t12 () (tptp.epsilon_connected @t1)) % 1.43/1.63 (define @t13 () (tptp.epsilon_transitive @t1)) % 1.43/1.63 (define @t14 () (and @t13 @t12)) % 1.43/1.63 (define @t15 () (tptp.ordinal @t1)) % 1.43/1.63 (define @t16 () (tptp.relation @t1)) % 1.43/1.63 (define @t17 () (tptp.one_to_one @t1)) % 1.43/1.63 (define @t18 () (and @t16 @t9 @t17)) % 1.43/1.63 (define @t19 () (and @t16 @t10 @t9)) % 1.43/1.63 (define @t20 () (and @t13 @t12 @t15)) % 1.43/1.63 (define @t21 () (tptp.unordered_pair @t1 @t2)) % 1.43/1.63 (define @t22 () (tptp.set_union2 @t2 @t1)) % 1.43/1.63 (define @t23 () (tptp.set_union2 @t1 @t2)) % 1.43/1.63 (define @t24 () (tptp.set_intersection2 @t1 @t2)) % 1.43/1.63 (define @t25 () (tptp.ordinal_subset @t1 @t2)) % 1.43/1.63 (define @t26 () (tptp.ordinal @t2)) % 1.43/1.63 (define @t27 () (and @t15 @t26)) % 1.43/1.63 (define @t28 () (@var "D" $$unsorted)) % 1.43/1.63 (define @t29 () (@var "C" $$unsorted)) % 1.43/1.63 (define @t30 () (= @t29 @t28)) % 1.43/1.63 (define @t31 () (tptp.in @t29 @t1)) % 1.43/1.63 (define @t32 () (tptp.ordered_pair @t29 @t28)) % 1.43/1.63 (define @t33 () (tptp.in @t32 @t2)) % 1.43/1.63 (define @t34 () (@list @t29 @t28)) % 1.43/1.63 (define @t35 () (tptp.identity_relation @t1)) % 1.43/1.63 (define @t36 () (= @t2 @t35)) % 1.43/1.63 (define @t37 () (tptp.relation @t2)) % 1.43/1.63 (define @t38 () (tptp.subset @t2 @t1)) % 1.43/1.63 (define @t39 () (tptp.subset @t1 @t2)) % 1.43/1.63 (define @t40 () (= @t1 @t2)) % 1.43/1.63 (define @t41 () (@var "E" $$unsorted)) % 1.43/1.63 (define @t42 () (tptp.ordered_pair @t28 @t41)) % 1.43/1.63 (define @t43 () (tptp.in @t42 @t1)) % 1.43/1.63 (define @t44 () (tptp.in @t28 @t2)) % 1.43/1.63 (define @t45 () (tptp.in @t42 @t29)) % 1.43/1.63 (define @t46 () (@list @t28 @t41)) % 1.43/1.63 (define @t47 () (tptp.relation_dom_restriction @t1 @t2)) % 1.43/1.63 (define @t48 () (tptp.relation @t29)) % 1.43/1.63 (define @t49 () (@list @t2 @t29)) % 1.43/1.63 (define @t50 () (tptp.in @t41 @t2)) % 1.43/1.63 (define @t51 () (tptp.relation_dom @t1)) % 1.43/1.63 (define @t52 () (@list @t41)) % 1.43/1.63 (define @t53 () (tptp.in @t28 @t29)) % 1.43/1.63 (define @t54 () (@list @t28)) % 1.43/1.63 (define @t55 () (= @t29 (tptp.relation_image @t1 @t2))) % 1.43/1.63 (define @t56 () (and @t16 @t9)) % 1.43/1.63 (define @t57 () (tptp.in @t41 @t1)) % 1.43/1.63 (define @t58 () (tptp.relation_rng_restriction @t1 @t2)) % 1.43/1.63 (define @t59 () (@list @t29)) % 1.43/1.63 (define @t60 () (tptp.relation_field @t1)) % 1.43/1.63 (define @t61 () (tptp.antisymmetric @t1)) % 1.43/1.63 (define @t62 () (tptp.apply @t1 @t28)) % 1.43/1.63 (define @t63 () (tptp.in @t28 @t51)) % 1.43/1.63 (define @t64 () (= @t29 (tptp.relation_inverse_image @t1 @t2))) % 1.43/1.63 (define @t65 () (tptp.connected @t1)) % 1.43/1.63 (define @t66 () (= @t65 (tptp.is_connected_in @t1 @t60))) % 1.43/1.63 (define @t67 () (forall @t11 (=> @t16 @t66))) % 1.43/1.63 (define @t68 () (tptp.transitive @t1)) % 1.43/1.63 (define @t69 () (tptp.in @t41 @t28)) % 1.43/1.63 (define @t70 () (@list @t1 @t2 @t29 @t28)) % 1.43/1.63 (define @t71 () (tptp.singleton @t1)) % 1.43/1.63 (define @t72 () (tptp.succ @t1)) % 1.43/1.63 (define @t73 () (@list @t2)) % 1.43/1.63 (define @t74 () (tptp.in @t29 @t2)) % 1.43/1.63 (define @t75 () (= @t2 tptp.empty_set)) % 1.43/1.63 (define @t76 () (= @t2 (tptp.set_meet @t1))) % 1.43/1.63 (define @t77 () (= @t1 tptp.empty_set)) % 1.43/1.63 (define @t78 () (tptp.in @t29 @t28)) % 1.43/1.63 (define @t79 () (tptp.in @t28 @t1)) % 1.43/1.63 (define @t80 () (not @t77)) % 1.43/1.63 (define @t81 () (tptp.powerset @t1)) % 1.43/1.63 (define @t82 () (tptp.in @t32 @t1)) % 1.43/1.63 (define @t83 () (tptp.empty @t2)) % 1.43/1.63 (define @t84 () (tptp.element @t2 @t1)) % 1.43/1.63 (define @t85 () (not @t10)) % 1.43/1.63 (define @t86 () (@list @t1 @t2 @t29)) % 1.43/1.63 (define @t87 () (@var "F" $$unsorted)) % 1.43/1.63 (define @t88 () (tptp.cartesian_product2 @t1 @t2)) % 1.43/1.63 (define @t89 () (not @t74)) % 1.43/1.63 (define @t90 () (= @t2 @t29)) % 1.43/1.63 (define @t91 () (not @t90)) % 1.43/1.63 (define @t92 () (tptp.in @t2 @t29)) % 1.43/1.63 (define @t93 () (forall @t59 (=> @t31 @t74))) % 1.43/1.63 (define @t94 () (tptp.apply @t1 @t2)) % 1.43/1.63 (define @t95 () (= @t29 @t94)) % 1.43/1.63 (define @t96 () (tptp.in @t2 @t51)) % 1.43/1.63 (define @t97 () (tptp.ordered_pair @t2 @t29)) % 1.43/1.63 (define @t98 () (tptp.in @t97 @t1)) % 1.43/1.63 (define @t99 () (tptp.ordered_pair @t28 @t29)) % 1.43/1.63 (define @t100 () (tptp.in @t99 @t1)) % 1.43/1.63 (define @t101 () (tptp.cast_to_subset @t1)) % 1.43/1.63 (define @t102 () (tptp.union @t1)) % 1.43/1.63 (define @t103 () (not @t44)) % 1.43/1.63 (define @t104 () (tptp.set_difference @t1 @t2)) % 1.43/1.63 (define @t105 () (and @t63 (= @t29 @t62))) % 1.43/1.63 (define @t106 () (tptp.relation_rng @t1)) % 1.43/1.63 (define @t107 () (= @t2 @t106)) % 1.43/1.63 (define @t108 () (tptp.subset_complement @t1 @t2)) % 1.43/1.63 (define @t109 () (tptp.element @t2 @t81)) % 1.43/1.63 (define @t110 () (tptp.ordered_pair @t1 @t2)) % 1.43/1.63 (define @t111 () (tptp.being_limit_ordinal @t1)) % 1.43/1.63 (define @t112 () (not @t100)) % 1.43/1.63 (define @t113 () (not @t82)) % 1.43/1.63 (define @t114 () (not @t30)) % 1.43/1.63 (define @t115 () (forall @t34 (not (and @t74 @t44 @t114 @t113 @t112)))) % 1.43/1.63 (define @t116 () (tptp.is_connected_in @t1 @t2)) % 1.43/1.63 (define @t117 () (= @t116 @t115)) % 1.43/1.63 (define @t118 () (forall @t73 @t117)) % 1.43/1.63 (define @t119 () (=> @t16 @t118)) % 1.43/1.63 (define @t120 () (forall @t11 @t119)) % 1.43/1.63 (define @t121 () (tptp.relation_inverse @t1)) % 1.43/1.63 (define @t122 () (tptp.disjoint @t1 @t2)) % 1.43/1.63 (define @t123 () (tptp.relation_composition @t1 @t2)) % 1.43/1.63 (define @t124 () (tptp.complements_of_subsets @t1 @t2)) % 1.43/1.63 (define @t125 () (tptp.powerset @t81)) % 1.43/1.63 (define @t126 () (tptp.element @t2 @t125)) % 1.43/1.63 (define @t127 () (not @t40)) % 1.43/1.63 (define @t128 () (tptp.function_inverse @t1)) % 1.43/1.63 (define @t129 () (tptp.reflexive @t1)) % 1.43/1.63 (define @t130 () (tptp.relation @t121)) % 1.43/1.63 (define @t131 () (tptp.relation @t123)) % 1.43/1.63 (define @t132 () (and @t16 @t37)) % 1.43/1.63 (define @t133 () (tptp.union_of_subsets @t1 @t2)) % 1.43/1.63 (define @t134 () (tptp.relation @t35)) % 1.43/1.63 (define @t135 () (tptp.meet_of_subsets @t1 @t2)) % 1.43/1.63 (define @t136 () (tptp.subset_difference @t1 @t2 @t29)) % 1.43/1.63 (define @t137 () (tptp.element @t29 @t81)) % 1.43/1.63 (define @t138 () (and @t109 @t137)) % 1.43/1.63 (define @t139 () (tptp.relation @t47)) % 1.43/1.63 (define @t140 () (tptp.relation_composition @t2 @t1)) % 1.43/1.63 (define @t141 () (and @t10 @t37)) % 1.43/1.63 (define @t142 () (tptp.relation_empty_yielding tptp.empty_set)) % 1.43/1.63 (define @t143 () (tptp.relation tptp.empty_set)) % 1.43/1.63 (define @t144 () (tptp.empty tptp.empty_set)) % 1.43/1.63 (define @t145 () (tptp.relation_empty_yielding @t1)) % 1.43/1.63 (define @t146 () (and @t16 @t145)) % 1.43/1.63 (define @t147 () (tptp.function @t2)) % 1.43/1.63 (define @t148 () (not (tptp.empty @t72))) % 1.43/1.63 (define @t149 () (not @t83)) % 1.43/1.63 (define @t150 () (tptp.empty @t51)) % 1.43/1.63 (define @t151 () (and @t85 @t16)) % 1.43/1.63 (define @t152 () (tptp.empty @t106)) % 1.43/1.63 (define @t153 () (tptp.in @t2 @t60)) % 1.43/1.63 (define @t154 () (tptp.disjoint @t71 @t2)) % 1.43/1.63 (define @t155 () (not @t5)) % 1.43/1.63 (define @t156 () (tptp.ordered_pair @t29 @t2)) % 1.43/1.63 (define @t157 () (tptp.in @t156 @t1)) % 1.43/1.63 (define @t158 () (not @t157)) % 1.43/1.63 (define @t159 () (not @t98)) % 1.43/1.63 (define @t160 () (tptp.in @t29 @t60)) % 1.43/1.63 (define @t161 () (forall @t49 (not (and @t153 @t160 @t91 @t159 @t158)))) % 1.43/1.63 (define @t162 () (= @t65 @t161)) % 1.43/1.63 (define @t163 () (=> @t16 @t162)) % 1.43/1.63 (define @t164 () (forall @t11 @t163)) % 1.43/1.63 (define @t165 () (not @t164)) % 1.43/1.63 (define @t166 () (tptp.singleton @t2)) % 1.43/1.63 (define @t167 () (tptp.union @t2)) % 1.43/1.63 (define @t168 () (tptp.in @t1 @t29)) % 1.43/1.63 (define @t169 () (tptp.element @t1 (tptp.powerset @t2))) % 1.43/1.63 (define @t170 () (tptp.relation_dom @t29)) % 1.43/1.63 (define @t171 () (tptp.relation_dom_restriction @t29 @t1)) % 1.43/1.63 (define @t172 () (tptp.in @t2 (tptp.relation_dom @t171))) % 1.43/1.63 (define @t173 () (and @t48 (tptp.function @t29))) % 1.43/1.63 (define @t174 () (tptp.set_difference @t2 @t29)) % 1.43/1.63 (define @t175 () (= @t1 @t29)) % 1.43/1.63 (define @t176 () (tptp.relation_rng @t29)) % 1.43/1.63 (define @t177 () (tptp.relation_rng @t58)) % 1.43/1.63 (define @t178 () (tptp.relation_rng @t2)) % 1.43/1.63 (define @t179 () (tptp.cartesian_product2 @t1 @t29)) % 1.43/1.63 (define @t180 () (tptp.subset @t29 @t2)) % 1.43/1.63 (define @t181 () (forall @t59 (not (and @t180 (not (tptp.are_equipotent @t29 @t2)) @t89)))) % 1.43/1.63 (define @t182 () (tptp.powerset @t29)) % 1.43/1.63 (define @t183 () (forall @t34 (=> (and @t74 (tptp.subset @t28 @t29)) @t44))) % 1.43/1.63 (define @t184 () (tptp.relation_dom_restriction @t29 @t2)) % 1.43/1.63 (define @t185 () (tptp.relation_image @t2 @t1)) % 1.43/1.63 (define @t186 () (tptp.relation_inverse_image @t2 @t1)) % 1.43/1.63 (define @t187 () (tptp.relation_image @t2 @t186)) % 1.43/1.63 (define @t188 () (and @t37 @t147)) % 1.43/1.63 (define @t189 () (tptp.relation_dom @t2)) % 1.43/1.63 (define @t190 () (tptp.set_intersection2 @t189 @t1)) % 1.43/1.63 (define @t191 () (tptp.subset @t1 @t178)) % 1.43/1.63 (define @t192 () (tptp.relation_rng @t123)) % 1.43/1.63 (define @t193 () (tptp.relation_inverse_image @t29 @t2)) % 1.43/1.63 (define @t194 () (tptp.set_intersection2 @t2 @t29)) % 1.43/1.63 (define @t195 () (tptp.subset @t1 @t29)) % 1.43/1.63 (define @t196 () (tptp.element @t1 @t2)) % 1.43/1.63 (define @t197 () (tptp.in @t1 @t170)) % 1.43/1.63 (define @t198 () (tptp.in @t110 @t29)) % 1.43/1.63 (define @t199 () (tptp.apply @t29 @t1)) % 1.43/1.63 (define @t200 () (tptp.relation_composition @t29 @t2)) % 1.43/1.63 (define @t201 () (tptp.in @t1 (tptp.relation_dom @t200))) % 1.43/1.63 (define @t202 () (tptp.relation_field @t29)) % 1.43/1.63 (define @t203 () (tptp.apply @t2 @t29)) % 1.43/1.63 (define @t204 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 1.43/1.63 (define @t205 () (and @t31 @t74)) % 1.43/1.63 (define @t206 () (not @t122)) % 1.43/1.63 (define @t207 () (tptp.succ @t2)) % 1.43/1.63 (define @t208 () (= @t1 @t207)) % 1.43/1.63 (define @t209 () (tptp.subset_complement @t1 @t29)) % 1.43/1.63 (define @t210 () (tptp.disjoint @t2 @t29)) % 1.43/1.63 (define @t211 () (tptp.relation_dom @t123)) % 1.43/1.63 (define @t212 () (not @t75)) % 1.43/1.63 (define @t213 () (tptp.element @t2 @t182)) % 1.43/1.63 (define @t214 () (tptp.in @t29 @t24)) % 1.43/1.63 (define @t215 () (and (tptp.in @t29 @t106) (= @t28 @t203))) % 1.43/1.63 (define @t216 () (tptp.function_inverse @t2)) % 1.43/1.63 (define @t217 () (= @t106 tptp.empty_set)) % 1.43/1.63 (define @t218 () (= @t51 tptp.empty_set)) % 1.43/1.63 (define @t219 () (= (tptp.apply @t171 @t2) (tptp.apply @t29 @t2))) % 1.43/1.63 (define @t220 () (tptp.relation_dom_restriction @t2 @t1)) % 1.43/1.63 (define @t221 () (= @t71 (tptp.unordered_pair @t2 @t29))) % 1.43/1.63 (define @t222 () (@var "BOUND_VARIABLE_9649" $$unsorted)) % 1.43/1.63 (define @t223 () (= (tptp.is_connected_in @t1 @t222) (forall @t34 (or (not (tptp.in @t29 @t222)) (not (tptp.in @t28 @t222)) @t30 @t82 @t100)))) % 1.43/1.63 (define @t224 () (not @t16)) % 1.43/1.63 (define @t225 () (or @t224 @t223)) % 1.43/1.63 (define @t226 () (@list @t222)) % 1.43/1.63 (define @t227 () (forall @t226 @t225)) % 1.43/1.63 (define @t228 () (forall @t226 @t223)) % 1.43/1.63 (define @t229 () (or @t224 @t228)) % 1.43/1.63 (define @t230 () (forall @t73 (= @t116 (forall @t34 (or @t89 @t103 @t30 @t82 @t100))))) % 1.43/1.63 (define @t231 () (not @t112)) % 1.43/1.63 (define @t232 () (not @t113)) % 1.43/1.63 (define @t233 () (not @t114)) % 1.43/1.63 (define @t234 () (or @t89 @t103 @t233 @t232 @t231)) % 1.43/1.63 (define @t235 () (not @t160)) % 1.43/1.63 (define @t236 () (not @t153)) % 1.43/1.63 (define @t237 () (= @t65 (forall @t49 (or @t236 @t235 @t90 @t98 @t157)))) % 1.43/1.63 (define @t238 () (@quantifiers_skolemize (forall @t11 (or @t224 @t237)) 0)) % 1.43/1.63 (define @t239 () (tptp.relation_field @t238)) % 1.43/1.63 (define @t240 () (not @t158)) % 1.43/1.63 (define @t241 () (not @t159)) % 1.43/1.63 (define @t242 () (not @t91)) % 1.43/1.63 (define @t243 () (or @t236 @t235 @t242 @t241 @t240)) % 1.43/1.63 (define @t244 () (tptp.relation @t238)) % 1.43/1.63 (define @t245 () (not (tptp.in @t29 @t239))) % 1.43/1.63 (define @t246 () (forall @t49 (or (not (tptp.in @t2 @t239)) @t245 @t90 (tptp.in @t97 @t238) (tptp.in @t156 @t238)))) % 1.43/1.63 (define @t247 () (tptp.connected @t238)) % 1.43/1.63 (define @t248 () (= @t247 @t246)) % 1.43/1.63 (define @t249 () (not @t244)) % 1.43/1.63 (define @t250 () (or @t249 @t248)) % 1.43/1.63 (define @t251 () (@list true)) % 1.43/1.63 (define @t252 () (@list @t250)) % 1.43/1.63 (define @t253 () (forall @t34 (or @t245 (not (tptp.in @t28 @t239)) @t30 (tptp.in @t32 @t238) (tptp.in @t99 @t238)))) % 1.43/1.63 (define @t254 () (tptp.is_connected_in @t238 @t239)) % 1.43/1.63 (define @t255 () (= @t254 @t253)) % 1.43/1.63 (define @t256 () (or @t249 @t255)) % 1.43/1.63 (define @t257 () (@list false false)) % 1.43/1.63 (define @t258 () (= @t247 @t254)) % 1.43/1.63 (define @t259 () (or @t249 @t258)) % 1.43/1.63 (define @t260 () (not @t258)) % 1.43/1.63 (define @t261 () (not @t247)) % 1.43/1.63 (define @t262 () (@var "BOUND_VARIABLE_72671" $$unsorted)) % 1.43/1.63 (define @t263 () (@var "BOUND_VARIABLE_72672" $$unsorted)) % 1.43/1.63 (define @t264 () (@list @t262 @t263)) % 1.43/1.63 (define @t265 () (not @t255)) % 1.43/1.63 (define @t266 () (not @t254)) % 1.43/1.63 (assume @p1 (forall @t6 (=> @t5 @t4))) % 1.43/1.63 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 1.43/1.63 (assume @p3 (forall @t11 (=> @t10 @t9))) % 1.43/1.63 (assume @p4 (forall @t11 (=> @t15 @t14))) % 1.43/1.63 (assume @p5 (forall @t11 (=> @t10 @t16))) % 1.43/1.63 (assume @p6 (forall @t11 (=> @t19 @t18))) % 1.43/1.63 (assume @p7 (forall @t11 (=> @t14 @t15))) % 1.43/1.63 (assume @p8 (forall @t11 (=> @t10 @t20))) % 1.43/1.63 (assume @p9 (forall @t6 (= @t21 (tptp.unordered_pair @t2 @t1)))) % 1.43/1.63 (assume @p10 (forall @t6 (= @t23 @t22))) % 1.43/1.63 (assume @p11 (forall @t6 (= @t24 (tptp.set_intersection2 @t2 @t1)))) % 1.43/1.63 (assume @p12 (forall @t6 (=> @t27 (or @t25 (tptp.ordinal_subset @t2 @t1))))) % 1.43/1.63 (assume @p13 (forall @t6 (=> @t37 (= @t36 (forall @t34 (= @t33 (and @t31 @t30))))))) % 1.43/1.63 (assume @p14 (forall @t6 (= @t40 (and @t39 @t38)))) % 1.43/1.63 (assume @p15 (forall @t11 (=> @t16 (forall @t49 (=> @t48 (= (= @t29 @t47) (forall @t46 (= @t45 (and @t44 @t43))))))))) % 1.43/1.63 (assume @p16 (forall @t11 (=> @t56 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in @t41 @t51) @t50 (= @t28 (tptp.apply @t1 @t41))))))))))) % 1.43/1.63 (assume @p17 (forall @t6 (=> @t37 (forall @t59 (=> @t48 (= (= @t29 @t58) (forall @t46 (= @t45 (and @t57 (tptp.in @t42 @t2)))))))))) % 1.43/1.63 (assume @p18 (forall @t11 (=> @t16 (= @t61 (tptp.is_antisymmetric_in @t1 @t60))))) % 1.43/1.63 (assume @p19 (forall @t11 (=> @t56 (forall @t49 (= @t64 (forall @t54 (= @t53 (and @t63 (tptp.in @t62 @t2))))))))) % 1.43/1.63 (assume @p20 (forall @t11 (=> @t16 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in (tptp.ordered_pair @t41 @t28) @t1) @t50))))))))) % 1.43/1.63 (assume @p21 (forall @t11 (=> @t16 (forall @t49 (= @t64 (forall @t54 (= @t53 (exists @t52 (and @t43 @t50))))))))) % 1.43/1.63 (assume @p22 @t67) % 1.43/1.63 (assume @p23 (forall @t11 (=> @t16 (= @t68 (tptp.is_transitive_in @t1 @t60))))) % 1.43/1.63 (assume @p24 (forall @t70 (= (= @t28 (tptp.unordered_triple @t1 @t2 @t29)) (forall @t52 (= @t69 (not (and (not (= @t41 @t1)) (not (= @t41 @t2)) (not (= @t41 @t29))))))))) % 1.43/1.63 (assume @p25 (forall @t11 (= @t72 (tptp.set_union2 @t1 @t71)))) % 1.43/1.63 (assume @p26 (forall @t11 (= @t16 (forall @t73 (not (and @t3 (forall @t34 (not (= @t2 @t32))))))))) % 1.43/1.63 (assume @p27 (forall @t11 (=> @t16 (forall @t73 (= (tptp.is_reflexive_in @t1 @t2) (forall @t59 (=> @t74 (tptp.in (tptp.ordered_pair @t29 @t29) @t1)))))))) % 1.43/1.63 (assume @p28 (forall @t6 (and (=> @t80 (= @t76 (forall @t59 (= @t74 (forall @t54 (=> @t79 @t78)))))) (=> @t77 (= @t76 @t75))))) % 1.43/1.63 (assume @p29 (forall @t6 (= (= @t2 @t71) (forall @t59 (= @t74 (= @t29 @t1)))))) % 1.43/1.63 (assume @p30 (forall @t11 (= @t77 (forall @t73 @t4)))) % 1.43/1.63 (assume @p31 (forall @t6 (= (= @t2 @t81) (forall @t59 (= @t74 (tptp.subset @t29 @t1)))))) % 1.43/1.63 (assume @p32 (forall @t11 (= @t13 (forall @t73 (=> @t3 @t38))))) % 1.43/1.63 (assume @p33 (forall @t11 (=> @t16 (forall @t73 (=> @t37 (= @t40 (forall @t34 (= @t82 @t33)))))))) % 1.43/1.63 (assume @p34 (forall @t6 (and (=> @t85 (= @t84 @t3)) (=> @t10 (= @t84 @t83))))) % 1.43/1.63 (assume @p35 (forall @t86 (= (= @t29 @t21) (forall @t54 (= @t53 (or (= @t28 @t1) (= @t28 @t2))))))) % 1.43/1.63 (assume @p36 (forall @t86 (= (= @t29 @t23) (forall @t54 (= @t53 (or @t79 @t44)))))) % 1.43/1.63 (assume @p37 (forall @t86 (= (= @t29 @t88) (forall @t54 (= @t53 (exists (@list @t41 @t87) (and @t57 (tptp.in @t87 @t2) (= @t28 (tptp.ordered_pair @t41 @t87))))))))) % 1.43/1.63 (assume @p38 (forall @t11 (= @t12 (forall @t49 (not (and @t3 @t31 (not @t92) @t91 @t89)))))) % 1.43/1.63 (assume @p39 (forall @t11 (=> @t16 (forall @t73 (=> @t37 (= @t39 (forall @t34 (=> @t82 @t33)))))))) % 1.43/1.63 (assume @p40 (forall @t6 (= @t39 @t93))) % 1.43/1.63 (assume @p41 (forall @t86 (= (= @t29 @t24) (forall @t54 (= @t53 (and @t79 @t44)))))) % 1.43/1.63 (assume @p42 (forall @t11 (=> @t56 (forall @t49 (and (=> @t96 (= @t95 @t98)) (=> (not @t96) (= @t95 (= @t29 tptp.empty_set)))))))) % 1.43/1.63 (assume @p43 (forall @t11 (= @t15 @t14))) % 1.43/1.63 (assume @p44 (forall @t11 (=> @t16 (forall @t73 (= (= @t2 @t51) (forall @t59 (= @t74 (exists @t54 @t82)))))))) % 1.43/1.63 (assume @p45 (forall @t11 (=> @t16 (forall @t73 (= (tptp.is_antisymmetric_in @t1 @t2) (forall @t34 (=> (and @t74 @t44 @t82 @t100) @t30))))))) % 1.43/1.63 (assume @p46 (forall @t11 (= @t101 @t1))) % 1.43/1.63 (assume @p47 (forall @t6 (= (= @t2 @t102) (forall @t59 (= @t74 (exists @t54 (and @t78 @t79))))))) % 1.43/1.63 (assume @p48 (forall @t86 (= (= @t29 @t104) (forall @t54 (= @t53 (and @t79 @t103)))))) % 1.43/1.63 (assume @p49 (forall @t11 (=> @t56 (forall @t73 (= @t107 (forall @t59 (= @t74 (exists @t54 @t105)))))))) % 1.43/1.63 (assume @p50 (forall @t11 (=> @t16 (forall @t73 (= @t107 (forall @t59 (= @t74 (exists @t54 @t100)))))))) % 1.43/1.63 (assume @p51 (forall @t6 (=> @t109 (= @t108 @t104)))) % 1.43/1.63 (assume @p52 (forall @t6 (= @t110 (tptp.unordered_pair @t21 @t71)))) % 1.43/1.63 (assume @p53 (forall @t11 (= @t111 (= @t1 @t102)))) % 1.43/1.63 (assume @p54 (forall @t11 (=> @t16 (= @t60 (tptp.set_union2 @t51 @t106))))) % 1.43/1.63 (assume @p55 @t120) % 1.43/1.63 (assume @p56 (forall @t11 (=> @t16 (forall @t73 (=> @t37 (= (= @t2 @t121) (forall @t34 (= @t33 @t100)))))))) % 1.43/1.63 (assume @p57 (forall @t6 (= @t122 (= @t24 tptp.empty_set)))) % 1.43/1.63 (assume @p58 (forall @t11 (=> @t56 (= @t17 (forall @t49 (=> (and @t96 (tptp.in @t29 @t51) (= @t94 (tptp.apply @t1 @t29))) @t90)))))) % 1.43/1.63 (assume @p59 (forall @t11 (=> @t16 (forall @t73 (=> @t37 (forall @t59 (=> @t48 (= (= @t29 @t123) (forall @t46 (= @t45 (exists (@list @t87) (and (tptp.in (tptp.ordered_pair @t28 @t87) @t1) (tptp.in (tptp.ordered_pair @t87 @t41) @t2))))))))))))) % 1.43/1.63 (assume @p60 (forall @t11 (=> @t16 (forall @t73 (= (tptp.is_transitive_in @t1 @t2) (forall (@list @t29 @t28 @t41) (=> (and @t74 @t44 @t50 @t82 @t43) (tptp.in (tptp.ordered_pair @t29 @t41) @t1)))))))) % 1.43/1.63 (assume @p61 (forall @t6 (=> @t126 (forall @t59 (=> (tptp.element @t29 @t125) (= (= @t29 @t124) (forall @t54 (=> (tptp.element @t28 @t81) (= @t53 (tptp.in (tptp.subset_complement @t1 @t28) @t2)))))))))) % 1.43/1.63 (assume @p62 (forall @t6 (= @t8 (and @t39 @t127)))) % 1.43/1.63 (assume @p63 (forall @t11 (=> @t56 (=> @t17 (= @t128 @t121))))) % 1.43/1.63 (assume @p64 (forall @t11 (=> @t16 (= @t129 (tptp.is_reflexive_in @t1 @t60))))) % 1.43/1.63 (assume @p65 true) % 1.43/1.63 (assume @p66 (forall @t11 (=> @t56 (and (tptp.relation @t128) (tptp.function @t128))))) % 1.43/1.63 (assume @p67 (forall @t11 (tptp.element @t101 @t81))) % 1.43/1.63 (assume @p68 (forall @t6 (=> @t109 (tptp.element @t108 @t81)))) % 1.43/1.63 (assume @p69 (forall @t11 (=> @t16 @t130))) % 1.43/1.63 (assume @p70 (forall @t6 (=> @t132 @t131))) % 1.43/1.63 (assume @p71 (forall @t6 (=> @t126 (tptp.element @t133 @t81)))) % 1.43/1.63 (assume @p72 (forall @t11 @t134)) % 1.43/1.63 (assume @p73 (forall @t6 (=> @t126 (tptp.element @t135 @t81)))) % 1.43/1.63 (assume @p74 (forall @t86 (=> @t138 (tptp.element @t136 @t81)))) % 1.43/1.63 (assume @p75 (forall @t6 (=> @t16 @t139))) % 1.43/1.63 (assume @p76 (forall @t6 (=> @t126 (tptp.element @t124 @t125)))) % 1.43/1.63 (assume @p77 (forall @t6 (=> @t37 (tptp.relation @t58)))) % 1.43/1.63 (assume @p78 (forall @t11 (exists @t73 @t84))) % 1.43/1.63 (assume @p79 (forall @t6 (=> @t141 (and (tptp.empty @t140) (tptp.relation @t140))))) % 1.43/1.63 (assume @p80 (forall @t11 (=> @t10 (and (tptp.empty @t121) @t130)))) % 1.43/1.63 (assume @p81 (and @t144 @t143 @t142)) % 1.43/1.63 (assume @p82 (forall @t6 (=> @t146 (and @t139 (tptp.relation_empty_yielding @t47))))) % 1.43/1.63 (assume @p83 (forall @t6 (=> (and @t16 @t9 @t37 @t147) (and @t131 (tptp.function @t123))))) % 1.43/1.63 (assume @p84 (forall @t11 @t148)) % 1.43/1.63 (assume @p85 (forall @t6 (=> @t132 (tptp.relation @t24)))) % 1.43/1.63 (assume @p86 (forall @t11 (not (tptp.empty @t81)))) % 1.43/1.63 (assume @p87 @t144) % 1.43/1.63 (assume @p88 (forall @t6 (not (tptp.empty @t110)))) % 1.43/1.63 (assume @p89 (forall @t11 (and @t134 (tptp.function @t35)))) % 1.43/1.63 (assume @p90 (and @t143 @t142 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t144 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 1.43/1.63 (assume @p91 (forall @t6 (=> @t132 (tptp.relation @t23)))) % 1.43/1.63 (assume @p92 (forall @t11 (not (tptp.empty @t71)))) % 1.43/1.63 (assume @p93 (forall @t6 (=> @t85 (not (tptp.empty @t23))))) % 1.43/1.63 (assume @p94 (forall @t11 (=> @t18 (and @t130 (tptp.function @t121))))) % 1.43/1.63 (assume @p95 (forall @t11 (=> @t15 (and @t148 (tptp.epsilon_transitive @t72) (tptp.epsilon_connected @t72) (tptp.ordinal @t72))))) % 1.43/1.63 (assume @p96 (forall @t6 (=> @t132 (tptp.relation @t104)))) % 1.43/1.63 (assume @p97 (forall @t6 (not (tptp.empty @t21)))) % 1.43/1.63 (assume @p98 (forall @t6 (=> @t85 (not (tptp.empty @t22))))) % 1.43/1.63 (assume @p99 (forall @t6 (=> @t56 (and @t139 (tptp.function @t47))))) % 1.43/1.63 (assume @p100 (forall @t11 (=> @t15 (and (tptp.epsilon_transitive @t102) (tptp.epsilon_connected @t102) (tptp.ordinal @t102))))) % 1.43/1.63 (assume @p101 (and @t144 @t143)) % 1.43/1.63 (assume @p102 (forall @t6 (=> (and @t85 @t149) (not (tptp.empty @t88))))) % 1.43/1.63 (assume @p103 (forall @t11 (=> @t151 (not @t150)))) % 1.43/1.63 (assume @p104 (forall @t11 (=> @t151 (not @t152)))) % 1.43/1.63 (assume @p105 (forall @t11 (=> @t10 (and @t150 (tptp.relation @t51))))) % 1.43/1.63 (assume @p106 (forall @t11 (=> @t10 (and @t152 (tptp.relation @t106))))) % 1.43/1.63 (assume @p107 (forall @t6 (=> @t141 (and (tptp.empty @t123) @t131)))) % 1.43/1.63 (assume @p108 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 1.43/1.63 (assume @p109 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 1.43/1.63 (assume @p110 (forall @t6 (=> @t109 (= (tptp.subset_complement @t1 @t108) @t2)))) % 1.43/1.63 (assume @p111 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t121) @t1)))) % 1.43/1.63 (assume @p112 (forall @t6 (=> @t126 (= (tptp.complements_of_subsets @t1 @t124) @t2)))) % 1.43/1.63 (assume @p113 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 1.43/1.63 (assume @p114 (forall @t11 (=> @t16 (= @t129 (forall @t73 (=> @t153 (tptp.in (tptp.ordered_pair @t2 @t2) @t1))))))) % 1.43/1.63 (assume @p115 (forall @t11 (not (= @t71 tptp.empty_set)))) % 1.43/1.63 (assume @p116 (forall @t6 (=> @t5 (= (tptp.set_union2 @t71 @t2) @t2)))) % 1.43/1.63 (assume @p117 (forall @t6 (not (and @t154 @t5)))) % 1.43/1.63 (assume @p118 (forall @t6 (=> @t155 @t154))) % 1.43/1.63 (assume @p119 (forall @t11 (=> @t16 (= @t68 (forall (@list @t2 @t29 @t28) (=> (and @t98 @t82) (tptp.in (tptp.ordered_pair @t2 @t28) @t1))))))) % 1.43/1.63 (assume @p120 (forall @t6 (= (tptp.subset @t71 @t2) @t5))) % 1.43/1.63 (assume @p121 (forall @t6 (= (= @t104 tptp.empty_set) @t39))) % 1.43/1.63 (assume @p122 (forall @t6 (=> @t109 (forall @t59 (=> @t74 @t31))))) % 1.43/1.63 (assume @p123 (forall @t11 (=> @t16 (= @t61 (forall @t49 (=> (and @t98 @t157) @t90)))))) % 1.43/1.63 (assume @p124 (forall @t86 (=> @t39 (or @t31 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t29))))))) % 1.43/1.63 (assume @p125 @t165) % 1.43/1.63 (assume @p126 (forall @t6 (= (tptp.subset @t1 @t166) (or @t77 (= @t1 @t166))))) % 1.43/1.63 (assume @p127 (forall @t6 (=> @t5 (tptp.subset @t1 @t167)))) % 1.43/1.63 (assume @p128 (forall @t70 (= (tptp.in @t110 (tptp.cartesian_product2 @t29 @t28)) (and @t168 (tptp.in @t2 @t28))))) % 1.43/1.63 (assume @p129 (forall @t6 (=> @t93 @t169))) % 1.43/1.63 (assume @p130 (forall @t86 (=> @t173 (= @t172 (and (tptp.in @t2 @t170) @t3))))) % 1.43/1.63 (assume @p131 (exists @t11 @t56)) % 1.43/1.63 (assume @p132 (exists @t11 @t20)) % 1.43/1.63 (assume @p133 (exists @t11 (and @t10 @t16))) % 1.43/1.63 (assume @p134 (forall @t11 (=> @t85 (exists @t73 (and @t109 @t149))))) % 1.43/1.63 (assume @p135 (exists @t11 @t10)) % 1.43/1.63 (assume @p136 (exists @t11 @t19)) % 1.43/1.63 (assume @p137 (exists @t11 (and @t16 @t9 @t17 @t10 @t13 @t12 @t15))) % 1.43/1.63 (assume @p138 (exists @t11 @t151)) % 1.43/1.63 (assume @p139 (forall @t11 (exists @t73 (and @t109 @t83)))) % 1.43/1.63 (assume @p140 (exists @t11 @t85)) % 1.43/1.63 (assume @p141 (exists @t11 @t18)) % 1.43/1.63 (assume @p142 (exists @t11 (and @t85 @t13 @t12 @t15))) % 1.43/1.63 (assume @p143 (exists @t11 @t146)) % 1.43/1.63 (assume @p144 (exists @t11 (and @t16 @t145 @t9))) % 1.43/1.63 (assume @p145 (forall @t6 (=> @t126 (= @t133 @t167)))) % 1.43/1.63 (assume @p146 (forall @t6 (=> @t126 (= @t135 (tptp.set_meet @t2))))) % 1.43/1.63 (assume @p147 (forall @t86 (=> @t138 (= @t136 @t174)))) % 1.43/1.63 (assume @p148 (forall @t6 (=> @t27 (= @t25 @t39)))) % 1.43/1.63 (assume @p149 (forall @t6 (=> @t27 (tptp.ordinal_subset @t1 @t1)))) % 1.43/1.63 (assume @p150 (forall @t6 (tptp.subset @t1 @t1))) % 1.43/1.63 (assume @p151 (forall @t6 (=> @t122 (tptp.disjoint @t2 @t1)))) % 1.43/1.63 (assume @p152 (forall @t11 (tptp.in @t1 @t72))) % 1.43/1.63 (assume @p153 (forall @t70 (not (and (= @t21 (tptp.unordered_pair @t29 @t28)) (not @t175) (not (= @t1 @t28)))))) % 1.43/1.63 (assume @p154 (forall @t86 (=> @t48 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t29))) (and @t5 (tptp.in @t1 @t176)))))) % 1.43/1.63 (assume @p155 (forall @t6 (=> @t37 (tptp.subset @t177 @t1)))) % 1.43/1.63 (assume @p156 (forall @t6 (=> @t37 (tptp.subset @t58 @t2)))) % 1.43/1.63 (assume @p157 (forall @t6 (=> @t37 (tptp.subset @t177 @t178)))) % 1.43/1.63 (assume @p158 (forall @t86 (=> @t39 (and (tptp.subset @t179 (tptp.cartesian_product2 @t2 @t29)) (tptp.subset (tptp.cartesian_product2 @t29 @t1) (tptp.cartesian_product2 @t29 @t2)))))) % 1.43/1.63 (assume @p159 (forall @t6 (=> @t37 (= @t177 (tptp.set_intersection2 @t178 @t1))))) % 1.43/1.63 (assume @p160 (forall @t70 (=> (and @t39 (tptp.subset @t29 @t28)) (tptp.subset @t179 (tptp.cartesian_product2 @t2 @t28))))) % 1.43/1.63 (assume @p161 (forall @t6 (=> @t39 (= @t23 @t2)))) % 1.43/1.63 (assume @p162 (forall @t11 (exists @t73 (and @t5 @t183 (forall @t59 (=> @t74 (tptp.in @t182 @t2))) @t181)))) % 1.43/1.63 (assume @p163 (forall @t86 (=> @t48 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t29) @t2) (tptp.relation_rng_restriction @t1 @t184))))) % 1.43/1.63 (assume @p164 (forall @t86 (=> @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)))))) % 1.43/1.64 (assume @p165 (forall @t6 (=> @t37 (tptp.subset @t185 @t178)))) % 1.43/1.64 (assume @p166 (forall @t6 (=> @t188 (tptp.subset @t187 @t1)))) % 1.43/1.64 (assume @p167 (forall @t6 (=> @t37 (= @t185 (tptp.relation_image @t2 @t190))))) % 1.43/1.64 (assume @p168 (forall @t6 (=> @t37 (=> (tptp.subset @t1 @t189) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t185)))))) % 1.43/1.64 (assume @p169 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t51) @t106)))) % 1.43/1.64 (assume @p170 (forall @t6 (=> @t188 (=> @t191 (= @t187 @t1))))) % 1.43/1.64 (assume @p171 (forall @t11 (=> @t16 (forall @t73 (=> @t37 (= @t192 (tptp.relation_image @t2 @t106))))))) % 1.43/1.64 (assume @p172 (forall @t86 (=> @t48 (= (tptp.in @t1 @t193) (exists @t54 (and (tptp.in @t28 @t176) (tptp.in (tptp.ordered_pair @t1 @t28) @t29) @t44)))))) % 1.43/1.64 (assume @p173 (forall @t6 (=> @t37 (tptp.subset @t186 @t189)))) % 1.43/1.64 (assume @p174 (forall @t6 (=> @t37 (not (and @t80 @t191 (= @t186 tptp.empty_set)))))) % 1.43/1.64 (assume @p175 (forall @t86 (=> @t48 (=> @t39 (tptp.subset (tptp.relation_inverse_image @t29 @t1) @t193))))) % 1.43/1.64 (assume @p176 (forall @t6 (tptp.subset @t24 @t1))) % 1.43/1.64 (assume @p177 (forall @t86 (=> (and @t39 @t195) (tptp.subset @t1 @t194)))) % 1.43/1.64 (assume @p178 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 1.43/1.64 (assume @p179 (forall @t6 (=> @t5 @t196))) % 1.43/1.64 (assume @p180 (forall @t86 (=> (and @t39 (tptp.subset @t2 @t29)) @t195))) % 1.43/1.64 (assume @p181 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 1.43/1.64 (assume @p182 (forall @t86 (=> @t48 (=> @t198 (and @t197 (tptp.in @t2 @t176)))))) % 1.43/1.64 (assume @p183 (forall @t6 (=> @t188 (forall @t59 (=> @t173 (= @t201 (and @t197 (tptp.in @t199 @t189)))))))) % 1.43/1.64 (assume @p184 (forall @t11 (=> @t13 (forall @t73 (=> @t26 (=> @t8 @t5)))))) % 1.43/1.64 (assume @p185 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t51 @t106))))) % 1.43/1.64 (assume @p186 (forall @t6 (=> @t188 (forall @t59 (=> @t173 (=> @t201 (= (tptp.apply @t200 @t1) (tptp.apply @t2 @t199)))))))) % 1.43/1.64 (assume @p187 (forall @t6 (=> @t188 (forall @t59 (=> @t173 (=> (tptp.in @t1 @t189) (= (tptp.apply (tptp.relation_composition @t2 @t29) @t1) (tptp.apply @t29 (tptp.apply @t2 @t1))))))))) % 1.43/1.64 (assume @p188 (forall @t6 (=> @t26 (=> @t5 @t15)))) % 1.43/1.64 (assume @p189 (forall @t11 (=> @t15 (forall @t73 (=> @t26 (not (and @t155 @t127 @t4))))))) % 1.43/1.64 (assume @p190 (forall @t11 (=> @t16 (forall @t73 (=> @t37 (=> @t39 (and (tptp.subset @t51 @t189) (tptp.subset @t106 @t178)))))))) % 1.43/1.64 (assume @p191 (forall @t86 (=> @t39 (tptp.subset (tptp.set_intersection2 @t1 @t29) @t194)))) % 1.43/1.64 (assume @p192 (forall @t6 (=> @t39 (= @t24 @t1)))) % 1.43/1.64 (assume @p193 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 1.43/1.64 (assume @p194 (forall @t6 (=> @t196 (or @t83 @t5)))) % 1.43/1.64 (assume @p195 (forall @t6 (=> (forall @t59 (= @t31 @t74)) @t40))) % 1.43/1.64 (assume @p196 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 1.43/1.64 (assume @p197 (forall @t86 (=> @t48 (=> @t198 (and (tptp.in @t1 @t202) (tptp.in @t2 @t202)))))) % 1.43/1.64 (assume @p198 (forall @t11 (=> (forall @t73 (=> @t3 (and @t26 @t38))) @t15))) % 1.43/1.64 (assume @p199 (forall @t6 (=> @t26 (not (and @t39 @t80 (forall @t59 (=> (tptp.ordinal @t29) (not (and @t31 (forall @t54 (=> (tptp.ordinal @t28) (=> @t79 (tptp.ordinal_subset @t29 @t28))))))))))))) % 1.43/1.64 (assume @p200 (forall @t11 (=> @t15 (forall @t73 (=> @t26 (= @t5 (tptp.ordinal_subset @t72 @t2))))))) % 1.43/1.64 (assume @p201 (forall @t86 (=> @t39 (tptp.subset (tptp.set_difference @t1 @t29) @t174)))) % 1.43/1.64 (assume @p202 (forall @t70 (=> (= @t110 @t32) (and @t175 (= @t2 @t28))))) % 1.43/1.64 (assume @p203 (forall @t6 (=> @t188 (= @t36 (and (= @t189 @t1) (forall @t59 (=> @t31 (= @t203 @t29)))))))) % 1.43/1.64 (assume @p204 (forall @t6 (=> @t3 (= (tptp.apply @t35 @t2) @t2)))) % 1.43/1.64 (assume @p205 (forall @t6 (tptp.subset @t104 @t1))) % 1.43/1.64 (assume @p206 (forall @t11 (=> @t16 (and (= @t106 (tptp.relation_dom @t121)) (= @t51 (tptp.relation_rng @t121)))))) % 1.43/1.64 (assume @p207 (forall @t86 (= (tptp.subset @t21 @t29) (and @t168 @t92)))) % 1.43/1.64 (assume @p208 (forall @t6 (= @t204 @t23))) % 1.43/1.64 (assume @p209 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 1.43/1.64 (assume @p210 (forall @t86 (not (and @t5 @t92 @t31)))) % 1.43/1.64 (assume @p211 (forall @t6 (= @t169 @t39))) % 1.43/1.64 (assume @p212 (forall @t6 (and (not (and @t206 (forall @t59 (not @t205)))) (not (and (exists @t59 @t205) @t122))))) % 1.43/1.64 (assume @p213 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t77))) % 1.43/1.64 (assume @p214 (forall @t6 (= (tptp.set_difference @t23 @t2) @t104))) % 1.43/1.64 (assume @p215 (forall @t11 (=> @t15 (= @t111 (forall @t73 (=> @t26 (=> @t3 (tptp.in @t207 @t1)))))))) % 1.43/1.64 (assume @p216 (forall @t11 (=> @t15 (and (not (and (not @t111) (forall @t73 (=> @t26 (not @t208))))) (not (and (exists @t73 (and @t26 @t208)) @t111)))))) % 1.43/1.64 (assume @p217 (forall @t6 (=> @t109 (forall @t59 (=> @t137 (= @t210 (tptp.subset @t2 @t209))))))) % 1.43/1.64 (assume @p218 (forall @t11 (=> @t16 (forall @t73 (=> @t37 (tptp.subset @t211 @t51)))))) % 1.43/1.64 (assume @p219 (forall @t11 (=> @t16 (forall @t73 (=> @t37 (tptp.subset @t192 @t178)))))) % 1.43/1.64 (assume @p220 (forall @t6 (=> @t39 (= @t2 @t204)))) % 1.43/1.64 (assume @p221 (forall @t11 (=> @t16 (forall @t73 (=> @t37 (=> (tptp.subset @t106 @t189) (= @t211 @t51))))))) % 1.43/1.64 (assume @p222 (forall @t6 (=> @t126 (not (and @t212 (= @t124 tptp.empty_set)))))) % 1.43/1.64 (assume @p223 (forall @t11 (=> @t16 (forall @t73 (=> @t37 (=> (tptp.subset @t51 @t178) (= (tptp.relation_rng @t140) @t106))))))) % 1.43/1.64 (assume @p224 (forall @t6 (=> @t126 (=> @t212 (= (tptp.subset_difference @t1 @t101 @t133) (tptp.meet_of_subsets @t1 @t124)))))) % 1.43/1.64 (assume @p225 (forall @t6 (=> @t126 (=> @t212 (= (tptp.union_of_subsets @t1 @t124) (tptp.subset_difference @t1 @t101 @t135)))))) % 1.43/1.64 (assume @p226 (forall @t6 (= (tptp.set_difference @t1 @t104) @t24))) % 1.43/1.64 (assume @p227 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 1.43/1.64 (assume @p228 (forall @t86 (=> (and @t5 @t213) (tptp.element @t1 @t29)))) % 1.43/1.64 (assume @p229 (forall @t6 (and (not (and @t206 (forall @t59 (not @t214)))) (not (and (exists @t59 @t214) @t122))))) % 1.43/1.64 (assume @p230 (forall @t11 (=> @t80 (forall @t73 (=> @t109 (forall @t59 (=> (tptp.element @t29 @t1) (=> @t89 (tptp.in @t29 @t108))))))))) % 1.43/1.64 (assume @p231 (forall @t11 (=> @t56 (=> @t17 (forall @t73 (=> @t188 (= (= @t2 @t128) (and (= @t189 @t106) (forall @t34 (and (=> @t215 @t105) (=> @t105 @t215))))))))))) % 1.43/1.64 (assume @p232 (forall @t86 (=> @t137 (not (and (tptp.in @t2 @t209) @t92))))) % 1.43/1.64 (assume @p233 (forall @t11 (=> @t56 (=> @t17 (and (= @t106 (tptp.relation_dom @t128)) (= @t51 (tptp.relation_rng @t128))))))) % 1.43/1.64 (assume @p234 (forall @t11 (=> @t16 (=> (forall @t49 @t159) @t77)))) % 1.43/1.64 (assume @p235 (forall @t6 (=> @t188 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t178)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t216 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t216 @t2) @t1))))))) % 1.43/1.64 (assume @p236 (forall @t86 (not (and @t5 @t213 (tptp.empty @t29))))) % 1.43/1.64 (assume @p237 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 1.43/1.64 (assume @p238 (forall @t6 (not (and @t39 @t7)))) % 1.43/1.64 (assume @p239 (forall @t11 (=> @t56 (=> @t17 (tptp.one_to_one @t128))))) % 1.43/1.64 (assume @p240 (forall @t86 (=> (and @t39 @t210) (tptp.disjoint @t1 @t29)))) % 1.43/1.64 (assume @p241 (forall @t11 (=> @t16 (=> (or @t218 @t217) @t77)))) % 1.43/1.64 (assume @p242 (forall @t11 (=> @t16 (= @t218 @t217)))) % 1.43/1.64 (assume @p243 (forall @t6 (= (= (tptp.set_difference @t1 @t166) @t1) @t4))) % 1.43/1.64 (assume @p244 (forall @t6 (=> @t188 (forall @t59 (=> @t173 (= (= @t2 @t171) (and (= @t189 (tptp.set_intersection2 @t170 @t1)) (forall @t54 (=> (tptp.in @t28 @t189) (= (tptp.apply @t2 @t28) (tptp.apply @t29 @t28))))))))))) % 1.43/1.64 (assume @p245 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t71))) % 1.43/1.64 (assume @p246 (forall @t11 (=> @t10 @t77))) % 1.43/1.64 (assume @p247 (forall @t6 (=> (tptp.subset @t71 @t166) @t40))) % 1.43/1.64 (assume @p248 (forall @t86 (=> @t173 (=> @t172 @t219)))) % 1.43/1.64 (assume @p249 (forall @t11 (and (= (tptp.relation_dom @t35) @t1) (= (tptp.relation_rng @t35) @t1)))) % 1.43/1.64 (assume @p250 (forall @t86 (=> @t173 (=> @t3 @t219)))) % 1.43/1.64 (assume @p251 (forall @t70 (=> (tptp.relation @t28) (= (tptp.in @t110 (tptp.relation_composition (tptp.identity_relation @t29) @t28)) (and @t168 (tptp.in @t110 @t28)))))) % 1.43/1.64 (assume @p252 (forall @t6 (not (and @t5 @t83)))) % 1.43/1.64 (assume @p253 (forall @t6 (not (and @t5 (forall @t59 (not (and @t74 (forall @t54 (not (and @t44 @t53)))))))))) % 1.43/1.64 (assume @p254 (forall @t6 (tptp.subset @t1 @t23))) % 1.43/1.64 (assume @p255 (forall @t6 (= @t122 (= @t104 @t1)))) % 1.43/1.64 (assume @p256 (forall @t86 (=> @t48 (= (tptp.in @t1 (tptp.relation_dom @t184)) (and @t5 @t197))))) % 1.43/1.64 (assume @p257 (forall @t6 (=> @t37 (tptp.subset @t220 @t2)))) % 1.43/1.64 (assume @p258 (forall @t6 (not (and @t10 @t127 @t83)))) % 1.43/1.64 (assume @p259 (forall @t86 (=> @t173 (= @t198 (and @t197 (= @t2 @t199)))))) % 1.43/1.64 (assume @p260 (forall @t86 (=> (and @t39 @t180) (tptp.subset (tptp.set_union2 @t1 @t29) @t2)))) % 1.43/1.64 (assume @p261 (forall @t86 (=> @t221 @t40))) % 1.43/1.64 (assume @p262 (forall @t6 (=> @t37 (= (tptp.relation_dom @t220) @t190)))) % 1.43/1.64 (assume @p263 (forall @t6 (=> @t37 (= @t220 (tptp.relation_composition @t35 @t2))))) % 1.43/1.64 (assume @p264 (forall @t6 (=> @t37 (tptp.subset (tptp.relation_rng @t220) @t178)))) % 1.43/1.64 (assume @p265 (forall @t11 (= (tptp.union @t81) @t1))) % 1.43/1.64 (assume @p266 (forall @t11 (exists @t73 (and @t5 @t183 (forall @t59 (not (and @t74 (forall @t54 (not (and @t44 (forall @t52 (=> (tptp.subset @t41 @t29) @t69)))))))) @t181)))) % 1.43/1.64 (assume @p267 (forall @t86 (=> @t221 @t90))) % 1.43/1.64 (step @p268 :rule quant-merge-prenex :args ((= (forall @t11 @t227) (forall (@list @t1 @t222) @t225)))) % 1.43/1.64 (step @p269 :rule alpha_equiv :args (@t228 (@list @t222) (@list @t2))) % 1.43/1.64 (step @p270 :rule refl :args (@t224)) % 1.43/1.64 (step @p271 :rule nary_cong :premises (@p270 @p269) :args (@t229)) % 1.43/1.64 (step @p272 :rule quant-miniscope-or :args ((= @t227 @t229))) % 1.43/1.64 (step @p273 :rule trans :premises (@p272 @p271)) % 1.43/1.64 (step @p274 :rule symm :premises (@p273)) % 1.43/1.64 (step @p275 :rule cong :premises (@p274) :args ((forall @t11 (or @t224 @t230)))) % 1.43/1.64 (step @p276 :rule trans :premises (@p275 @p268)) % 1.43/1.64 (step @p277 :rule bool-impl-elim :args (@t16 @t230)) % 1.43/1.64 (step @p278 :rule cong :premises (@p277) :args ((forall @t11 (=> @t16 @t230)))) % 1.43/1.64 (step @p279 :rule trans :premises (@p278 @p276)) % 1.43/1.64 (step @p280 :rule bool-double-not-elim :args (@t100)) % 1.43/1.64 (step @p281 :rule bool-double-not-elim :args (@t82)) % 1.43/1.64 (step @p282 :rule bool-double-not-elim :args (@t30)) % 1.43/1.64 (step @p283 :rule refl :args (@t103)) % 1.43/1.64 (step @p284 :rule refl :args (@t89)) % 1.43/1.64 (step @p285 :rule nary_cong :premises (@p284 @p283 @p282 @p281 @p280) :args (@t234)) % 1.43/1.64 (step @p286 :rule aci_norm :args ((= (or @t89 (or @t103 (or @t233 (or @t232 @t231)))) @t234))) % 1.43/1.64 (step @p287 :rule trans :premises (@p286 @p285)) % 1.43/1.64 (step @p288 :rule bool-and-de-morgan :args (@t113 @t112 true)) % 1.43/1.64 (step @p289 :rule refl :args (@t233)) % 1.43/1.64 (step @p290 :rule nary_cong :premises (@p289 @p288) :args ((or @t233 (not (and @t113 @t112))))) % 1.43/1.64 (step @p291 :rule bool-and-de-morgan :args (@t114 @t113 (and @t112))) % 1.43/1.64 (step @p292 :rule trans :premises (@p291 @p290)) % 1.43/1.64 (step @p293 :rule nary_cong :premises (@p283 @p292) :args ((or @t103 (not (and @t114 @t113 @t112))))) % 1.43/1.64 (step @p294 :rule bool-and-de-morgan :args (@t44 @t114 (and @t113 @t112))) % 1.43/1.64 (step @p295 :rule trans :premises (@p294 @p293)) % 1.43/1.64 (step @p296 :rule nary_cong :premises (@p284 @p295) :args ((or @t89 (not (and @t44 @t114 @t113 @t112))))) % 1.43/1.64 (step @p297 :rule bool-and-de-morgan :args (@t74 @t44 (and @t114 @t113 @t112))) % 1.43/1.64 (step @p298 :rule trans :premises (@p297 @p296)) % 1.43/1.64 (step @p299 :rule trans :premises (@p298 @p287)) % 1.43/1.64 (step @p300 :rule cong :premises (@p299) :args (@t115)) % 1.43/1.64 (step @p301 :rule refl :args (@t116)) % 1.43/1.64 (step @p302 :rule cong :premises (@p301 @p300) :args (@t117)) % 1.43/1.64 (step @p303 :rule cong :premises (@p302) :args (@t118)) % 1.43/1.64 (step @p304 :rule refl :args (@t16)) % 1.43/1.64 (step @p305 :rule cong :premises (@p304 @p303) :args (@t119)) % 1.43/1.64 (step @p306 :rule cong :premises (@p305) :args (@t120)) % 1.43/1.64 (step @p307 :rule trans :premises (@p306 @p279)) % 1.43/1.64 (step @p308 :rule eq_resolve :premises (@p55 @p307)) % 1.43/1.64 (step @p309 :rule instantiate :premises (@p308) :args ((@list @t238 @t239))) % 1.43/1.64 (step @p310 :rule bool-impl-elim :args (@t16 @t237)) % 1.43/1.64 (step @p311 :rule cong :premises (@p310) :args ((forall @t11 (=> @t16 @t237)))) % 1.43/1.64 (step @p312 :rule bool-double-not-elim :args (@t157)) % 1.43/1.64 (step @p313 :rule bool-double-not-elim :args (@t98)) % 1.43/1.64 (step @p314 :rule bool-double-not-elim :args (@t90)) % 1.43/1.64 (step @p315 :rule refl :args (@t235)) % 1.43/1.64 (step @p316 :rule refl :args (@t236)) % 1.43/1.64 (step @p317 :rule nary_cong :premises (@p316 @p315 @p314 @p313 @p312) :args (@t243)) % 1.43/1.64 (step @p318 :rule aci_norm :args ((= (or @t236 (or @t235 (or @t242 (or @t241 @t240)))) @t243))) % 1.43/1.64 (step @p319 :rule trans :premises (@p318 @p317)) % 1.43/1.64 (step @p320 :rule bool-and-de-morgan :args (@t159 @t158 true)) % 1.43/1.64 (step @p321 :rule refl :args (@t242)) % 1.43/1.64 (step @p322 :rule nary_cong :premises (@p321 @p320) :args ((or @t242 (not (and @t159 @t158))))) % 1.43/1.64 (step @p323 :rule bool-and-de-morgan :args (@t91 @t159 (and @t158))) % 1.43/1.64 (step @p324 :rule trans :premises (@p323 @p322)) % 1.43/1.64 (step @p325 :rule nary_cong :premises (@p315 @p324) :args ((or @t235 (not (and @t91 @t159 @t158))))) % 1.43/1.64 (step @p326 :rule bool-and-de-morgan :args (@t160 @t91 (and @t159 @t158))) % 1.43/1.64 (step @p327 :rule trans :premises (@p326 @p325)) % 1.43/1.64 (step @p328 :rule nary_cong :premises (@p316 @p327) :args ((or @t236 (not (and @t160 @t91 @t159 @t158))))) % 1.43/1.64 (step @p329 :rule bool-and-de-morgan :args (@t153 @t160 (and @t91 @t159 @t158))) % 1.43/1.64 (step @p330 :rule trans :premises (@p329 @p328)) % 1.43/1.64 (step @p331 :rule trans :premises (@p330 @p319)) % 1.43/1.64 (step @p332 :rule cong :premises (@p331) :args (@t161)) % 1.43/1.64 (step @p333 :rule refl :args (@t65)) % 1.43/1.65 (step @p334 :rule cong :premises (@p333 @p332) :args (@t162)) % 1.43/1.65 (step @p335 :rule cong :premises (@p304 @p334) :args (@t163)) % 1.43/1.65 (step @p336 :rule cong :premises (@p335) :args (@t164)) % 1.43/1.65 (step @p337 :rule trans :premises (@p336 @p311)) % 1.43/1.65 (step @p338 :rule cong :premises (@p337) :args (@t165)) % 1.43/1.65 (step @p339 :rule eq_resolve :premises (@p125 @p338)) % 1.43/1.65 (step @p340 :rule skolemize :premises (@p339)) % 1.43/1.65 (step @p341 :rule bool-double-not-elim :args (@t244)) % 1.43/1.65 (step @p342 :rule refl :args (@t250)) % 1.43/1.65 (step @p343 :rule nary_cong :premises (@p342 @p341) :args ((or @t250 (not @t249)))) % 1.43/1.65 (step @p344 :rule cnf_or_neg :args (@t250 0)) % 1.43/1.65 (step @p345 :rule eq_resolve :premises (@p344 @p343)) % 1.43/1.65 (step @p346 :rule reordering :premises (@p345) :args ((or @t244 @t250))) % 1.43/1.65 (step @p347 :rule chain_m_resolution :premises (@p346 @p340) :args (@t244 @t251 @t252)) % 1.43/1.65 (step @p348 :rule cnf_or_pos :args (@t256)) % 1.43/1.65 (step @p349 :rule reordering :premises (@p348) :args ((or @t249 @t255 (not @t256)))) % 1.43/1.65 (step @p350 :rule chain_m_resolution :premises (@p349 @p347 @p309) :args (@t255 @t257 (@list @t244 @t256))) % 1.43/1.65 (step @p351 :rule bool-impl-elim :args (@t16 @t66)) % 1.43/1.65 (step @p352 :rule cong :premises (@p351) :args (@t67)) % 1.43/1.65 (step @p353 :rule eq_resolve :premises (@p22 @p352)) % 1.43/1.65 (step @p354 :rule instantiate :premises (@p353) :args ((@list @t238))) % 1.43/1.65 (step @p355 :rule cnf_or_pos :args (@t259)) % 1.43/1.65 (step @p356 :rule reordering :premises (@p355) :args ((or @t249 @t258 (not @t259)))) % 1.43/1.65 (step @p357 :rule chain_m_resolution :premises (@p356 @p347 @p354) :args (@t258 @t257 (@list @t244 @t259))) % 1.43/1.65 (step @p358 :rule cnf_or_neg :args (@t250 1)) % 1.43/1.65 (step @p359 :rule chain_m_resolution :premises (@p358 @p340) :args ((not @t248) @t251 @t252)) % 1.43/1.65 (step @p360 :rule cnf_equiv_neg2 :args (@t248)) % 1.43/1.65 (step @p361 :rule cnf_equiv_pos1 :args (@t258)) % 1.43/1.65 (step @p362 :rule reordering :premises (@p361) :args ((or @t261 @t254 @t260))) % 1.43/1.65 (step @p363 :rule alpha_equiv :args ((forall (@list @t262 @t263) (or (not (tptp.in @t262 @t239)) (not (tptp.in @t263 @t239)) (= @t262 @t263) (tptp.in (tptp.ordered_pair @t262 @t263) @t238) (tptp.in (tptp.ordered_pair @t263 @t262) @t238))) @t264 (@list @t29 @t28))) % 1.43/1.65 (step @p364 :rule alpha_equiv :args (@t246 (@list @t2 @t29) @t264)) % 1.43/1.65 (step @p365 :rule trans :premises (@p364 @p363)) % 1.43/1.65 (step @p366 :rule equiv_elim2 :premises (@p365)) % 1.43/1.65 (step @p367 :rule cnf_equiv_pos1 :args (@t255)) % 1.43/1.65 (step @p368 :rule reordering :premises (@p367) :args ((or @t266 @t253 @t265))) % 1.43/1.65 (step @p369 :rule chain_m_resolution :premises (@p368 @p350 @p366 @p362 @p357 @p360 @p359) :args (@t261 (@list false true false false true true) (@list @t255 @t253 @t254 @t258 @t246 @t248))) % 1.43/1.65 (step @p370 :rule cnf_equiv_pos2 :args (@t258)) % 1.43/1.65 (step @p371 :rule reordering :premises (@p370) :args ((or @t247 @t266 @t260))) % 1.43/1.65 (step @p372 :rule chain_m_resolution :premises (@p371 @p369 @p357) :args (@t266 (@list true false) (@list @t247 @t258))) % 1.43/1.65 (step @p373 :rule cnf_equiv_neg1 :args (@t248)) % 1.43/1.65 (step @p374 :rule reordering :premises (@p373) :args ((or @t247 @t246 @t248))) % 1.43/1.65 (step @p375 :rule chain_m_resolution :premises (@p374 @p369 @p359) :args (@t246 (@list true true) (@list @t247 @t248))) % 1.43/1.65 (step @p376 :rule equiv_elim1 :premises (@p365)) % 1.43/1.65 (step @p377 :rule chain_m_resolution :premises (@p376 @p375) :args (@t253 (@list false) (@list @t246))) % 1.43/1.65 (step @p378 :rule cnf_equiv_pos2 :args (@t255)) % 1.43/1.65 (step @p379 :rule reordering :premises (@p378) :args ((or @t254 (not @t253) @t265))) % 1.43/1.65 (step @p380 false :rule chain_m_resolution :premises (@p379 @p377 @p372 @p350) :args (false (@list false true false) (@list @t253 @t254 @t255))) % 1.43/1.65 ) % 1.43/1.65 % SZS output end Proof % 1.43/1.65 % cvc5 exiting %------------------------------------------------------------------------------