%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU230+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 : n001.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 08:51:03 AM UTC 2026 % Result : Theorem 4.21s 4.46s % Output : Proof 4.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU230+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 % 0.17/0.35 % Computer : n001.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 16:44:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.55 %----Proving TF0_NAR, FOF, or CNF % 4.21/4.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 4.21/4.46 % SZS status Theorem % 4.21/4.46 % SZS output start Proof % 4.21/4.46 ( % 4.21/4.46 (declare-sort $$unsorted 0) % 4.21/4.46 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 4.21/4.46 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.empty_set $$unsorted) % 4.21/4.46 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 4.21/4.46 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 4.21/4.46 (declare-const tptp.function (-> $$unsorted Bool)) % 4.21/4.46 (declare-const tptp.relation (-> $$unsorted Bool)) % 4.21/4.46 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.empty (-> $$unsorted Bool)) % 4.21/4.46 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 4.21/4.46 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 4.21/4.46 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 4.21/4.46 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 4.21/4.46 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 4.21/4.46 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 4.21/4.46 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 4.21/4.46 (define @t1 () (@var "A" $$unsorted)) % 4.21/4.46 (define @t2 () (@var "B" $$unsorted)) % 4.21/4.46 (define @t3 () (tptp.in @t2 @t1)) % 4.21/4.46 (define @t4 () (not @t3)) % 4.21/4.46 (define @t5 () (tptp.in @t1 @t2)) % 4.21/4.46 (define @t6 () (@list @t1 @t2)) % 4.21/4.46 (define @t7 () (tptp.proper_subset @t2 @t1)) % 4.21/4.46 (define @t8 () (tptp.proper_subset @t1 @t2)) % 4.21/4.46 (define @t9 () (tptp.function @t1)) % 4.21/4.46 (define @t10 () (tptp.empty @t1)) % 4.21/4.46 (define @t11 () (@list @t1)) % 4.21/4.46 (define @t12 () (tptp.relation @t1)) % 4.21/4.46 (define @t13 () (tptp.one_to_one @t1)) % 4.21/4.46 (define @t14 () (and @t12 @t9 @t13)) % 4.21/4.46 (define @t15 () (and @t12 @t10 @t9)) % 4.21/4.46 (define @t16 () (tptp.unordered_pair @t1 @t2)) % 4.21/4.46 (define @t17 () (tptp.set_union2 @t2 @t1)) % 4.21/4.46 (define @t18 () (tptp.set_union2 @t1 @t2)) % 4.21/4.46 (define @t19 () (tptp.set_intersection2 @t1 @t2)) % 4.21/4.46 (define @t20 () (@var "D" $$unsorted)) % 4.21/4.46 (define @t21 () (@var "C" $$unsorted)) % 4.21/4.46 (define @t22 () (tptp.in @t21 @t1)) % 4.21/4.46 (define @t23 () (tptp.ordered_pair @t21 @t20)) % 4.21/4.46 (define @t24 () (tptp.in @t23 @t2)) % 4.21/4.46 (define @t25 () (@list @t21 @t20)) % 4.21/4.46 (define @t26 () (tptp.identity_relation @t1)) % 4.21/4.46 (define @t27 () (= @t2 @t26)) % 4.21/4.46 (define @t28 () (tptp.relation @t2)) % 4.21/4.46 (define @t29 () (tptp.subset @t1 @t2)) % 4.21/4.46 (define @t30 () (= @t1 @t2)) % 4.21/4.46 (define @t31 () (@var "E" $$unsorted)) % 4.21/4.46 (define @t32 () (tptp.ordered_pair @t20 @t31)) % 4.21/4.46 (define @t33 () (tptp.in @t32 @t1)) % 4.21/4.46 (define @t34 () (tptp.in @t20 @t2)) % 4.21/4.46 (define @t35 () (tptp.in @t32 @t21)) % 4.21/4.46 (define @t36 () (@list @t20 @t31)) % 4.21/4.46 (define @t37 () (tptp.relation_dom_restriction @t1 @t2)) % 4.21/4.46 (define @t38 () (tptp.relation @t21)) % 4.21/4.46 (define @t39 () (@list @t2 @t21)) % 4.21/4.46 (define @t40 () (tptp.in @t31 @t2)) % 4.21/4.46 (define @t41 () (tptp.relation_dom @t1)) % 4.21/4.46 (define @t42 () (@list @t31)) % 4.21/4.46 (define @t43 () (tptp.in @t20 @t21)) % 4.21/4.46 (define @t44 () (@list @t20)) % 4.21/4.46 (define @t45 () (= @t21 (tptp.relation_image @t1 @t2))) % 4.21/4.46 (define @t46 () (and @t12 @t9)) % 4.21/4.46 (define @t47 () (tptp.in @t31 @t1)) % 4.21/4.46 (define @t48 () (tptp.relation_rng_restriction @t1 @t2)) % 4.21/4.46 (define @t49 () (@list @t21)) % 4.21/4.46 (define @t50 () (tptp.apply @t1 @t20)) % 4.21/4.46 (define @t51 () (tptp.in @t20 @t41)) % 4.21/4.46 (define @t52 () (= @t21 (tptp.relation_inverse_image @t1 @t2))) % 4.21/4.46 (define @t53 () (tptp.in @t31 @t20)) % 4.21/4.46 (define @t54 () (@list @t1 @t2 @t21 @t20)) % 4.21/4.46 (define @t55 () (tptp.singleton @t1)) % 4.21/4.46 (define @t56 () (tptp.succ @t1)) % 4.21/4.46 (define @t57 () (@list @t2)) % 4.21/4.46 (define @t58 () (= @t2 tptp.empty_set)) % 4.21/4.46 (define @t59 () (= @t2 (tptp.set_meet @t1))) % 4.21/4.46 (define @t60 () (= @t1 tptp.empty_set)) % 4.21/4.46 (define @t61 () (tptp.in @t21 @t20)) % 4.21/4.46 (define @t62 () (tptp.in @t20 @t1)) % 4.21/4.46 (define @t63 () (tptp.in @t21 @t2)) % 4.21/4.46 (define @t64 () (not @t60)) % 4.21/4.46 (define @t65 () (tptp.powerset @t1)) % 4.21/4.46 (define @t66 () (tptp.in @t23 @t1)) % 4.21/4.46 (define @t67 () (tptp.empty @t2)) % 4.21/4.46 (define @t68 () (tptp.element @t2 @t1)) % 4.21/4.46 (define @t69 () (not @t10)) % 4.21/4.46 (define @t70 () (@list @t1 @t2 @t21)) % 4.21/4.46 (define @t71 () (@var "F" $$unsorted)) % 4.21/4.46 (define @t72 () (tptp.cartesian_product2 @t1 @t2)) % 4.21/4.46 (define @t73 () (forall @t49 (=> @t22 @t63))) % 4.21/4.46 (define @t74 () (tptp.apply @t1 @t2)) % 4.21/4.46 (define @t75 () (= @t21 @t74)) % 4.21/4.46 (define @t76 () (tptp.in @t2 @t41)) % 4.21/4.46 (define @t77 () (tptp.in (tptp.ordered_pair @t2 @t21) @t1)) % 4.21/4.46 (define @t78 () (tptp.cast_to_subset @t1)) % 4.21/4.46 (define @t79 () (tptp.set_difference @t1 @t2)) % 4.21/4.46 (define @t80 () (and @t51 (= @t21 @t50))) % 4.21/4.46 (define @t81 () (tptp.relation_rng @t1)) % 4.21/4.46 (define @t82 () (= @t2 @t81)) % 4.21/4.46 (define @t83 () (tptp.in (tptp.ordered_pair @t20 @t21) @t1)) % 4.21/4.46 (define @t84 () (tptp.subset_complement @t1 @t2)) % 4.21/4.46 (define @t85 () (tptp.element @t2 @t65)) % 4.21/4.46 (define @t86 () (tptp.ordered_pair @t1 @t2)) % 4.21/4.46 (define @t87 () (tptp.relation_inverse @t1)) % 4.21/4.46 (define @t88 () (tptp.disjoint @t1 @t2)) % 4.21/4.46 (define @t89 () (= @t2 @t21)) % 4.21/4.46 (define @t90 () (tptp.relation_composition @t1 @t2)) % 4.21/4.46 (define @t91 () (tptp.complements_of_subsets @t1 @t2)) % 4.21/4.46 (define @t92 () (tptp.powerset @t65)) % 4.21/4.46 (define @t93 () (tptp.element @t2 @t92)) % 4.21/4.46 (define @t94 () (not @t30)) % 4.21/4.46 (define @t95 () (tptp.function_inverse @t1)) % 4.21/4.46 (define @t96 () (tptp.relation @t87)) % 4.21/4.46 (define @t97 () (tptp.relation @t90)) % 4.21/4.46 (define @t98 () (and @t12 @t28)) % 4.21/4.46 (define @t99 () (tptp.union_of_subsets @t1 @t2)) % 4.21/4.46 (define @t100 () (tptp.relation @t26)) % 4.21/4.46 (define @t101 () (tptp.meet_of_subsets @t1 @t2)) % 4.21/4.46 (define @t102 () (tptp.subset_difference @t1 @t2 @t21)) % 4.21/4.46 (define @t103 () (tptp.element @t21 @t65)) % 4.21/4.46 (define @t104 () (and @t85 @t103)) % 4.21/4.46 (define @t105 () (tptp.relation @t37)) % 4.21/4.46 (define @t106 () (tptp.relation_composition @t2 @t1)) % 4.21/4.46 (define @t107 () (and @t10 @t28)) % 4.21/4.46 (define @t108 () (tptp.relation tptp.empty_set)) % 4.21/4.46 (define @t109 () (tptp.empty tptp.empty_set)) % 4.21/4.46 (define @t110 () (tptp.relation_empty_yielding @t1)) % 4.21/4.46 (define @t111 () (and @t12 @t110)) % 4.21/4.46 (define @t112 () (tptp.function @t2)) % 4.21/4.46 (define @t113 () (not @t67)) % 4.21/4.46 (define @t114 () (tptp.empty @t41)) % 4.21/4.46 (define @t115 () (and @t69 @t12)) % 4.21/4.46 (define @t116 () (tptp.empty @t81)) % 4.21/4.46 (define @t117 () (tptp.disjoint @t55 @t2)) % 4.21/4.46 (define @t118 () (tptp.subset @t55 @t2)) % 4.21/4.46 (define @t119 () (forall @t6 (= @t118 @t5))) % 4.21/4.46 (define @t120 () (tptp.singleton @t2)) % 4.21/4.46 (define @t121 () (tptp.union @t2)) % 4.21/4.46 (define @t122 () (tptp.in @t1 @t21)) % 4.21/4.46 (define @t123 () (tptp.element @t1 (tptp.powerset @t2))) % 4.21/4.46 (define @t124 () (tptp.relation_dom @t21)) % 4.21/4.46 (define @t125 () (tptp.relation_dom_restriction @t21 @t1)) % 4.21/4.46 (define @t126 () (tptp.in @t2 (tptp.relation_dom @t125))) % 4.21/4.46 (define @t127 () (and @t38 (tptp.function @t21))) % 4.21/4.46 (define @t128 () (tptp.set_difference @t2 @t21)) % 4.21/4.46 (define @t129 () (forall @t11 (tptp.in @t1 @t56))) % 4.21/4.46 (define @t130 () (= @t1 @t21)) % 4.21/4.46 (define @t131 () (tptp.relation_rng @t21)) % 4.21/4.46 (define @t132 () (tptp.relation_rng @t48)) % 4.21/4.46 (define @t133 () (tptp.relation_rng @t2)) % 4.21/4.46 (define @t134 () (tptp.cartesian_product2 @t1 @t21)) % 4.21/4.46 (define @t135 () (not @t63)) % 4.21/4.46 (define @t136 () (tptp.subset @t21 @t2)) % 4.21/4.46 (define @t137 () (forall @t49 (not (and @t136 (not (tptp.are_equipotent @t21 @t2)) @t135)))) % 4.21/4.46 (define @t138 () (tptp.powerset @t21)) % 4.21/4.46 (define @t139 () (forall @t25 (=> (and @t63 (tptp.subset @t20 @t21)) @t34))) % 4.21/4.46 (define @t140 () (tptp.relation_dom_restriction @t21 @t2)) % 4.21/4.46 (define @t141 () (tptp.relation_image @t2 @t1)) % 4.21/4.46 (define @t142 () (tptp.relation_inverse_image @t2 @t1)) % 4.21/4.46 (define @t143 () (tptp.relation_image @t2 @t142)) % 4.21/4.46 (define @t144 () (and @t28 @t112)) % 4.21/4.46 (define @t145 () (tptp.relation_dom @t2)) % 4.21/4.46 (define @t146 () (tptp.set_intersection2 @t145 @t1)) % 4.21/4.46 (define @t147 () (tptp.subset @t1 @t133)) % 4.21/4.46 (define @t148 () (tptp.relation_rng @t90)) % 4.21/4.46 (define @t149 () (tptp.relation_inverse_image @t21 @t2)) % 4.21/4.46 (define @t150 () (tptp.set_intersection2 @t2 @t21)) % 4.21/4.46 (define @t151 () (tptp.subset @t1 @t21)) % 4.21/4.46 (define @t152 () (tptp.element @t1 @t2)) % 4.21/4.46 (define @t153 () (tptp.in @t1 @t124)) % 4.21/4.46 (define @t154 () (tptp.in @t86 @t21)) % 4.21/4.46 (define @t155 () (tptp.apply @t21 @t1)) % 4.21/4.46 (define @t156 () (tptp.relation_composition @t21 @t2)) % 4.21/4.46 (define @t157 () (tptp.in @t1 (tptp.relation_dom @t156))) % 4.21/4.46 (define @t158 () (tptp.relation_field @t21)) % 4.21/4.46 (define @t159 () (tptp.apply @t2 @t21)) % 4.21/4.46 (define @t160 () (tptp.in @t2 @t21)) % 4.21/4.46 (define @t161 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 4.21/4.46 (define @t162 () (and @t22 @t63)) % 4.21/4.46 (define @t163 () (not @t88)) % 4.21/4.46 (define @t164 () (tptp.subset_complement @t1 @t21)) % 4.21/4.46 (define @t165 () (tptp.disjoint @t2 @t21)) % 4.21/4.46 (define @t166 () (tptp.relation_dom @t90)) % 4.21/4.46 (define @t167 () (not @t58)) % 4.21/4.46 (define @t168 () (tptp.element @t2 @t138)) % 4.21/4.46 (define @t169 () (tptp.in @t21 @t19)) % 4.21/4.46 (define @t170 () (and (tptp.in @t21 @t81) (= @t20 @t159))) % 4.21/4.46 (define @t171 () (tptp.function_inverse @t2)) % 4.21/4.46 (define @t172 () (= @t81 tptp.empty_set)) % 4.21/4.46 (define @t173 () (= @t41 tptp.empty_set)) % 4.21/4.46 (define @t174 () (= (tptp.apply @t125 @t2) (tptp.apply @t21 @t2))) % 4.21/4.46 (define @t175 () (tptp.relation_dom_restriction @t2 @t1)) % 4.21/4.46 (define @t176 () (= @t55 (tptp.unordered_pair @t2 @t21))) % 4.21/4.46 (define @t177 () (@quantifiers_skolemize @t129 0)) % 4.21/4.46 (define @t178 () (tptp.succ @t177)) % 4.21/4.46 (define @t179 () (tptp.singleton @t177)) % 4.21/4.46 (define @t180 () (tptp.subset @t179 @t178)) % 4.21/4.46 (define @t181 () (tptp.in @t177 @t178)) % 4.21/4.46 (define @t182 () (= @t181 @t180)) % 4.21/4.46 (define @t183 () (not @t180)) % 4.21/4.46 (define @t184 () (tptp.set_union2 @t179 @t177)) % 4.21/4.46 (define @t185 () (tptp.subset @t179 @t184)) % 4.21/4.46 (define @t186 () (not @t185)) % 4.21/4.46 (define @t187 () (tptp.set_union2 @t177 @t179)) % 4.21/4.46 (define @t188 () (= @t187 @t184)) % 4.21/4.46 (define @t189 () (not @t188)) % 4.21/4.46 (define @t190 () (= @t178 @t187)) % 4.21/4.46 (define @t191 () (not @t190)) % 4.21/4.46 (define @t192 () (and @t190 @t183 @t188)) % 4.21/4.46 (assume @p1 (forall @t6 (=> @t5 @t4))) % 4.21/4.46 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 4.21/4.46 (assume @p3 (forall @t11 (=> @t10 @t9))) % 4.21/4.46 (assume @p4 (forall @t11 (=> @t10 @t12))) % 4.21/4.46 (assume @p5 (forall @t11 (=> @t15 @t14))) % 4.21/4.46 (assume @p6 (forall @t6 (= @t16 (tptp.unordered_pair @t2 @t1)))) % 4.21/4.46 (assume @p7 (forall @t6 (= @t18 @t17))) % 4.21/4.46 (assume @p8 (forall @t6 (= @t19 (tptp.set_intersection2 @t2 @t1)))) % 4.21/4.46 (assume @p9 (forall @t6 (=> @t28 (= @t27 (forall @t25 (= @t24 (and @t22 (= @t21 @t20)))))))) % 4.21/4.46 (assume @p10 (forall @t6 (= @t30 (and @t29 (tptp.subset @t2 @t1))))) % 4.21/4.46 (assume @p11 (forall @t11 (=> @t12 (forall @t39 (=> @t38 (= (= @t21 @t37) (forall @t36 (= @t35 (and @t34 @t33))))))))) % 4.21/4.46 (assume @p12 (forall @t11 (=> @t46 (forall @t39 (= @t45 (forall @t44 (= @t43 (exists @t42 (and (tptp.in @t31 @t41) @t40 (= @t20 (tptp.apply @t1 @t31))))))))))) % 4.21/4.46 (assume @p13 (forall @t6 (=> @t28 (forall @t49 (=> @t38 (= (= @t21 @t48) (forall @t36 (= @t35 (and @t47 (tptp.in @t32 @t2)))))))))) % 4.21/4.46 (assume @p14 (forall @t11 (=> @t46 (forall @t39 (= @t52 (forall @t44 (= @t43 (and @t51 (tptp.in @t50 @t2))))))))) % 4.21/4.46 (assume @p15 (forall @t11 (=> @t12 (forall @t39 (= @t45 (forall @t44 (= @t43 (exists @t42 (and (tptp.in (tptp.ordered_pair @t31 @t20) @t1) @t40))))))))) % 4.21/4.46 (assume @p16 (forall @t11 (=> @t12 (forall @t39 (= @t52 (forall @t44 (= @t43 (exists @t42 (and @t33 @t40))))))))) % 4.21/4.46 (assume @p17 (forall @t54 (= (= @t20 (tptp.unordered_triple @t1 @t2 @t21)) (forall @t42 (= @t53 (not (and (not (= @t31 @t1)) (not (= @t31 @t2)) (not (= @t31 @t21))))))))) % 4.21/4.46 (assume @p18 (forall @t11 (= @t56 (tptp.set_union2 @t1 @t55)))) % 4.21/4.46 (assume @p19 (forall @t11 (= @t12 (forall @t57 (not (and @t3 (forall @t25 (not (= @t2 @t23))))))))) % 4.21/4.46 (assume @p20 (forall @t6 (and (=> @t64 (= @t59 (forall @t49 (= @t63 (forall @t44 (=> @t62 @t61)))))) (=> @t60 (= @t59 @t58))))) % 4.21/4.46 (assume @p21 (forall @t6 (= (= @t2 @t55) (forall @t49 (= @t63 (= @t21 @t1)))))) % 4.21/4.46 (assume @p22 (forall @t11 (= @t60 (forall @t57 @t4)))) % 4.21/4.46 (assume @p23 (forall @t6 (= (= @t2 @t65) (forall @t49 (= @t63 (tptp.subset @t21 @t1)))))) % 4.21/4.46 (assume @p24 (forall @t11 (=> @t12 (forall @t57 (=> @t28 (= @t30 (forall @t25 (= @t66 @t24)))))))) % 4.21/4.46 (assume @p25 (forall @t6 (and (=> @t69 (= @t68 @t3)) (=> @t10 (= @t68 @t67))))) % 4.21/4.46 (assume @p26 (forall @t70 (= (= @t21 @t16) (forall @t44 (= @t43 (or (= @t20 @t1) (= @t20 @t2))))))) % 4.21/4.46 (assume @p27 (forall @t70 (= (= @t21 @t18) (forall @t44 (= @t43 (or @t62 @t34)))))) % 4.21/4.46 (assume @p28 (forall @t70 (= (= @t21 @t72) (forall @t44 (= @t43 (exists (@list @t31 @t71) (and @t47 (tptp.in @t71 @t2) (= @t20 (tptp.ordered_pair @t31 @t71))))))))) % 4.21/4.46 (assume @p29 (forall @t11 (=> @t12 (forall @t57 (=> @t28 (= @t29 (forall @t25 (=> @t66 @t24)))))))) % 4.21/4.46 (assume @p30 (forall @t6 (= @t29 @t73))) % 4.21/4.46 (assume @p31 (forall @t70 (= (= @t21 @t19) (forall @t44 (= @t43 (and @t62 @t34)))))) % 4.21/4.46 (assume @p32 (forall @t11 (=> @t46 (forall @t39 (and (=> @t76 (= @t75 @t77)) (=> (not @t76) (= @t75 (= @t21 tptp.empty_set)))))))) % 4.21/4.46 (assume @p33 (forall @t11 (=> @t12 (forall @t57 (= (= @t2 @t41) (forall @t49 (= @t63 (exists @t44 @t66)))))))) % 4.21/4.46 (assume @p34 (forall @t11 (= @t78 @t1))) % 4.21/4.46 (assume @p35 (forall @t6 (= (= @t2 (tptp.union @t1)) (forall @t49 (= @t63 (exists @t44 (and @t61 @t62))))))) % 4.21/4.46 (assume @p36 (forall @t70 (= (= @t21 @t79) (forall @t44 (= @t43 (and @t62 (not @t34))))))) % 4.21/4.46 (assume @p37 (forall @t11 (=> @t46 (forall @t57 (= @t82 (forall @t49 (= @t63 (exists @t44 @t80)))))))) % 4.21/4.46 (assume @p38 (forall @t11 (=> @t12 (forall @t57 (= @t82 (forall @t49 (= @t63 (exists @t44 @t83)))))))) % 4.21/4.46 (assume @p39 (forall @t6 (=> @t85 (= @t84 @t79)))) % 4.21/4.46 (assume @p40 (forall @t6 (= @t86 (tptp.unordered_pair @t16 @t55)))) % 4.21/4.46 (assume @p41 (forall @t11 (=> @t12 (= (tptp.relation_field @t1) (tptp.set_union2 @t41 @t81))))) % 4.21/4.46 (assume @p42 (forall @t11 (=> @t12 (forall @t57 (=> @t28 (= (= @t2 @t87) (forall @t25 (= @t24 @t83)))))))) % 4.21/4.46 (assume @p43 (forall @t6 (= @t88 (= @t19 tptp.empty_set)))) % 4.21/4.46 (assume @p44 (forall @t11 (=> @t46 (= @t13 (forall @t39 (=> (and @t76 (tptp.in @t21 @t41) (= @t74 (tptp.apply @t1 @t21))) @t89)))))) % 4.21/4.46 (assume @p45 (forall @t11 (=> @t12 (forall @t57 (=> @t28 (forall @t49 (=> @t38 (= (= @t21 @t90) (forall @t36 (= @t35 (exists (@list @t71) (and (tptp.in (tptp.ordered_pair @t20 @t71) @t1) (tptp.in (tptp.ordered_pair @t71 @t31) @t2))))))))))))) % 4.21/4.46 (assume @p46 (forall @t6 (=> @t93 (forall @t49 (=> (tptp.element @t21 @t92) (= (= @t21 @t91) (forall @t44 (=> (tptp.element @t20 @t65) (= @t43 (tptp.in (tptp.subset_complement @t1 @t20) @t2)))))))))) % 4.21/4.46 (assume @p47 (forall @t6 (= @t8 (and @t29 @t94)))) % 4.21/4.46 (assume @p48 (forall @t11 (=> @t46 (=> @t13 (= @t95 @t87))))) % 4.21/4.46 (assume @p49 true) % 4.21/4.46 (assume @p50 (forall @t11 (=> @t46 (and (tptp.relation @t95) (tptp.function @t95))))) % 4.21/4.46 (assume @p51 (forall @t11 (tptp.element @t78 @t65))) % 4.21/4.46 (assume @p52 (forall @t6 (=> @t85 (tptp.element @t84 @t65)))) % 4.21/4.46 (assume @p53 (forall @t11 (=> @t12 @t96))) % 4.21/4.46 (assume @p54 (forall @t6 (=> @t98 @t97))) % 4.21/4.46 (assume @p55 (forall @t6 (=> @t93 (tptp.element @t99 @t65)))) % 4.21/4.46 (assume @p56 (forall @t11 @t100)) % 4.21/4.46 (assume @p57 (forall @t6 (=> @t93 (tptp.element @t101 @t65)))) % 4.21/4.46 (assume @p58 (forall @t70 (=> @t104 (tptp.element @t102 @t65)))) % 4.21/4.46 (assume @p59 (forall @t6 (=> @t12 @t105))) % 4.21/4.46 (assume @p60 (forall @t6 (=> @t93 (tptp.element @t91 @t92)))) % 4.21/4.46 (assume @p61 (forall @t6 (=> @t28 (tptp.relation @t48)))) % 4.21/4.46 (assume @p62 (forall @t11 (exists @t57 @t68))) % 4.21/4.46 (assume @p63 (forall @t6 (=> @t107 (and (tptp.empty @t106) (tptp.relation @t106))))) % 4.21/4.46 (assume @p64 (forall @t11 (=> @t10 (and (tptp.empty @t87) @t96)))) % 4.21/4.46 (assume @p65 (and @t109 @t108 (tptp.relation_empty_yielding tptp.empty_set))) % 4.21/4.46 (assume @p66 (forall @t6 (=> @t111 (and @t105 (tptp.relation_empty_yielding @t37))))) % 4.21/4.46 (assume @p67 (forall @t6 (=> (and @t12 @t9 @t28 @t112) (and @t97 (tptp.function @t90))))) % 4.21/4.46 (assume @p68 (forall @t11 (not (tptp.empty @t56)))) % 4.21/4.46 (assume @p69 (forall @t6 (=> @t98 (tptp.relation @t19)))) % 4.21/4.46 (assume @p70 (forall @t11 (not (tptp.empty @t65)))) % 4.21/4.46 (assume @p71 @t109) % 4.21/4.46 (assume @p72 (forall @t6 (not (tptp.empty @t86)))) % 4.21/4.46 (assume @p73 (forall @t11 (and @t100 (tptp.function @t26)))) % 4.21/4.46 (assume @p74 (forall @t6 (=> @t98 (tptp.relation @t18)))) % 4.21/4.46 (assume @p75 (forall @t11 (not (tptp.empty @t55)))) % 4.21/4.46 (assume @p76 (forall @t6 (=> @t69 (not (tptp.empty @t18))))) % 4.21/4.46 (assume @p77 (forall @t11 (=> @t14 (and @t96 (tptp.function @t87))))) % 4.21/4.46 (assume @p78 (forall @t6 (not (tptp.empty @t16)))) % 4.21/4.46 (assume @p79 (forall @t6 (=> @t69 (not (tptp.empty @t17))))) % 4.21/4.46 (assume @p80 (forall @t6 (=> @t46 (and @t105 (tptp.function @t37))))) % 4.21/4.46 (assume @p81 (and @t109 @t108)) % 4.21/4.46 (assume @p82 (forall @t6 (=> (and @t69 @t113) (not (tptp.empty @t72))))) % 4.21/4.46 (assume @p83 (forall @t11 (=> @t115 (not @t114)))) % 4.21/4.46 (assume @p84 (forall @t11 (=> @t115 (not @t116)))) % 4.21/4.46 (assume @p85 (forall @t11 (=> @t10 (and @t114 (tptp.relation @t41))))) % 4.21/4.46 (assume @p86 (forall @t11 (=> @t10 (and @t116 (tptp.relation @t81))))) % 4.21/4.46 (assume @p87 (forall @t6 (=> @t107 (and (tptp.empty @t90) @t97)))) % 4.21/4.46 (assume @p88 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 4.21/4.46 (assume @p89 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 4.21/4.46 (assume @p90 (forall @t6 (=> @t85 (= (tptp.subset_complement @t1 @t84) @t2)))) % 4.21/4.46 (assume @p91 (forall @t11 (=> @t12 (= (tptp.relation_inverse @t87) @t1)))) % 4.21/4.46 (assume @p92 (forall @t6 (=> @t93 (= (tptp.complements_of_subsets @t1 @t91) @t2)))) % 4.21/4.46 (assume @p93 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 4.21/4.46 (assume @p94 (forall @t11 (not (= @t55 tptp.empty_set)))) % 4.21/4.46 (assume @p95 (forall @t6 (=> @t5 (= (tptp.set_union2 @t55 @t2) @t2)))) % 4.21/4.46 (assume @p96 (forall @t6 (not (and @t117 @t5)))) % 4.21/4.46 (assume @p97 (forall @t6 (=> (not @t5) @t117))) % 4.21/4.46 (assume @p98 @t119) % 4.21/4.46 (assume @p99 (forall @t6 (= (= @t79 tptp.empty_set) @t29))) % 4.21/4.46 (assume @p100 (forall @t6 (=> @t85 (forall @t49 (=> @t63 @t22))))) % 4.21/4.46 (assume @p101 (forall @t70 (=> @t29 (or @t22 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t21))))))) % 4.21/4.46 (assume @p102 (forall @t6 (= (tptp.subset @t1 @t120) (or @t60 (= @t1 @t120))))) % 4.21/4.46 (assume @p103 (forall @t6 (=> @t5 (tptp.subset @t1 @t121)))) % 4.21/4.46 (assume @p104 (forall @t54 (= (tptp.in @t86 (tptp.cartesian_product2 @t21 @t20)) (and @t122 (tptp.in @t2 @t20))))) % 4.21/4.46 (assume @p105 (forall @t6 (=> @t73 @t123))) % 4.21/4.46 (assume @p106 (forall @t70 (=> @t127 (= @t126 (and (tptp.in @t2 @t124) @t3))))) % 4.21/4.46 (assume @p107 (exists @t11 @t46)) % 4.21/4.46 (assume @p108 (exists @t11 (and @t10 @t12))) % 4.21/4.46 (assume @p109 (forall @t11 (=> @t69 (exists @t57 (and @t85 @t113))))) % 4.21/4.46 (assume @p110 (exists @t11 @t10)) % 4.21/4.46 (assume @p111 (exists @t11 @t15)) % 4.21/4.46 (assume @p112 (exists @t11 @t115)) % 4.21/4.46 (assume @p113 (forall @t11 (exists @t57 (and @t85 @t67)))) % 4.21/4.46 (assume @p114 (exists @t11 @t69)) % 4.21/4.46 (assume @p115 (exists @t11 @t14)) % 4.21/4.46 (assume @p116 (exists @t11 @t111)) % 4.21/4.46 (assume @p117 (exists @t11 (and @t12 @t110 @t9))) % 4.21/4.46 (assume @p118 (forall @t6 (=> @t93 (= @t99 @t121)))) % 4.21/4.46 (assume @p119 (forall @t6 (=> @t93 (= @t101 (tptp.set_meet @t2))))) % 4.21/4.46 (assume @p120 (forall @t70 (=> @t104 (= @t102 @t128)))) % 4.21/4.46 (assume @p121 (forall @t6 (tptp.subset @t1 @t1))) % 4.21/4.46 (assume @p122 (forall @t6 (=> @t88 (tptp.disjoint @t2 @t1)))) % 4.21/4.46 (assume @p123 (not @t129)) % 4.21/4.46 (assume @p124 (forall @t54 (not (and (= @t16 (tptp.unordered_pair @t21 @t20)) (not @t130) (not (= @t1 @t20)))))) % 4.21/4.46 (assume @p125 (forall @t70 (=> @t38 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t21))) (and @t5 (tptp.in @t1 @t131)))))) % 4.21/4.46 (assume @p126 (forall @t6 (=> @t28 (tptp.subset @t132 @t1)))) % 4.21/4.46 (assume @p127 (forall @t6 (=> @t28 (tptp.subset @t48 @t2)))) % 4.21/4.46 (assume @p128 (forall @t6 (=> @t28 (tptp.subset @t132 @t133)))) % 4.21/4.46 (assume @p129 (forall @t70 (=> @t29 (and (tptp.subset @t134 (tptp.cartesian_product2 @t2 @t21)) (tptp.subset (tptp.cartesian_product2 @t21 @t1) (tptp.cartesian_product2 @t21 @t2)))))) % 4.21/4.46 (assume @p130 (forall @t6 (=> @t28 (= @t132 (tptp.set_intersection2 @t133 @t1))))) % 4.21/4.46 (assume @p131 (forall @t54 (=> (and @t29 (tptp.subset @t21 @t20)) (tptp.subset @t134 (tptp.cartesian_product2 @t2 @t20))))) % 4.21/4.46 (assume @p132 (forall @t6 (=> @t29 (= @t18 @t2)))) % 4.21/4.46 (assume @p133 (forall @t11 (exists @t57 (and @t5 @t139 (forall @t49 (=> @t63 (tptp.in @t138 @t2))) @t137)))) % 4.21/4.46 (assume @p134 (forall @t70 (=> @t38 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t21) @t2) (tptp.relation_rng_restriction @t1 @t140))))) % 4.21/4.46 (assume @p135 (forall @t70 (=> @t38 (= (tptp.in @t1 (tptp.relation_image @t21 @t2)) (exists @t44 (and (tptp.in @t20 @t124) (tptp.in (tptp.ordered_pair @t20 @t1) @t21) @t34)))))) % 4.21/4.46 (assume @p136 (forall @t6 (=> @t28 (tptp.subset @t141 @t133)))) % 4.21/4.46 (assume @p137 (forall @t6 (=> @t144 (tptp.subset @t143 @t1)))) % 4.21/4.46 (assume @p138 (forall @t6 (=> @t28 (= @t141 (tptp.relation_image @t2 @t146))))) % 4.21/4.46 (assume @p139 (forall @t6 (=> @t28 (=> (tptp.subset @t1 @t145) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t141)))))) % 4.21/4.46 (assume @p140 (forall @t11 (=> @t12 (= (tptp.relation_image @t1 @t41) @t81)))) % 4.21/4.46 (assume @p141 (forall @t6 (=> @t144 (=> @t147 (= @t143 @t1))))) % 4.21/4.46 (assume @p142 (forall @t11 (=> @t12 (forall @t57 (=> @t28 (= @t148 (tptp.relation_image @t2 @t81))))))) % 4.21/4.46 (assume @p143 (forall @t70 (=> @t38 (= (tptp.in @t1 @t149) (exists @t44 (and (tptp.in @t20 @t131) (tptp.in (tptp.ordered_pair @t1 @t20) @t21) @t34)))))) % 4.21/4.46 (assume @p144 (forall @t6 (=> @t28 (tptp.subset @t142 @t145)))) % 4.21/4.46 (assume @p145 (forall @t6 (=> @t28 (not (and @t64 @t147 (= @t142 tptp.empty_set)))))) % 4.21/4.46 (assume @p146 (forall @t70 (=> @t38 (=> @t29 (tptp.subset (tptp.relation_inverse_image @t21 @t1) @t149))))) % 4.21/4.46 (assume @p147 (forall @t6 (tptp.subset @t19 @t1))) % 4.21/4.46 (assume @p148 (forall @t70 (=> (and @t29 @t151) (tptp.subset @t1 @t150)))) % 4.21/4.46 (assume @p149 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 4.21/4.46 (assume @p150 (forall @t6 (=> @t5 @t152))) % 4.21/4.46 (assume @p151 (forall @t70 (=> (and @t29 (tptp.subset @t2 @t21)) @t151))) % 4.21/4.46 (assume @p152 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 4.21/4.46 (assume @p153 (forall @t70 (=> @t38 (=> @t154 (and @t153 (tptp.in @t2 @t131)))))) % 4.21/4.46 (assume @p154 (forall @t6 (=> @t144 (forall @t49 (=> @t127 (= @t157 (and @t153 (tptp.in @t155 @t145)))))))) % 4.21/4.46 (assume @p155 (forall @t11 (=> @t12 (tptp.subset @t1 (tptp.cartesian_product2 @t41 @t81))))) % 4.21/4.46 (assume @p156 (forall @t6 (=> @t144 (forall @t49 (=> @t127 (=> @t157 (= (tptp.apply @t156 @t1) (tptp.apply @t2 @t155)))))))) % 4.21/4.46 (assume @p157 (forall @t6 (=> @t144 (forall @t49 (=> @t127 (=> (tptp.in @t1 @t145) (= (tptp.apply (tptp.relation_composition @t2 @t21) @t1) (tptp.apply @t21 (tptp.apply @t2 @t1))))))))) % 4.21/4.46 (assume @p158 (forall @t11 (=> @t12 (forall @t57 (=> @t28 (=> @t29 (and (tptp.subset @t41 @t145) (tptp.subset @t81 @t133)))))))) % 4.21/4.46 (assume @p159 (forall @t70 (=> @t29 (tptp.subset (tptp.set_intersection2 @t1 @t21) @t150)))) % 4.21/4.46 (assume @p160 (forall @t6 (=> @t29 (= @t19 @t1)))) % 4.21/4.46 (assume @p161 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 4.21/4.46 (assume @p162 (forall @t6 (=> @t152 (or @t67 @t5)))) % 4.21/4.46 (assume @p163 (forall @t6 (=> (forall @t49 (= @t22 @t63)) @t30))) % 4.21/4.46 (assume @p164 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 4.21/4.46 (assume @p165 (forall @t70 (=> @t38 (=> @t154 (and (tptp.in @t1 @t158) (tptp.in @t2 @t158)))))) % 4.21/4.46 (assume @p166 (forall @t70 (=> @t29 (tptp.subset (tptp.set_difference @t1 @t21) @t128)))) % 4.21/4.46 (assume @p167 (forall @t54 (=> (= @t86 @t23) (and @t130 (= @t2 @t20))))) % 4.21/4.46 (assume @p168 (forall @t6 (=> @t144 (= @t27 (and (= @t145 @t1) (forall @t49 (=> @t22 (= @t159 @t21)))))))) % 4.21/4.46 (assume @p169 (forall @t6 (=> @t3 (= (tptp.apply @t26 @t2) @t2)))) % 4.21/4.46 (assume @p170 (forall @t6 (tptp.subset @t79 @t1))) % 4.21/4.46 (assume @p171 (forall @t11 (=> @t12 (and (= @t81 (tptp.relation_dom @t87)) (= @t41 (tptp.relation_rng @t87)))))) % 4.21/4.46 (assume @p172 (forall @t70 (= (tptp.subset @t16 @t21) (and @t122 @t160)))) % 4.21/4.46 (assume @p173 (forall @t6 (= @t161 @t18))) % 4.21/4.46 (assume @p174 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 4.21/4.46 (assume @p175 (forall @t70 (not (and @t5 @t160 @t22)))) % 4.21/4.46 (assume @p176 (forall @t6 (= @t123 @t29))) % 4.21/4.46 (assume @p177 (forall @t6 (and (not (and @t163 (forall @t49 (not @t162)))) (not (and (exists @t49 @t162) @t88))))) % 4.21/4.46 (assume @p178 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t60))) % 4.21/4.46 (assume @p179 (forall @t6 (= (tptp.set_difference @t18 @t2) @t79))) % 4.21/4.46 (assume @p180 (forall @t6 (=> @t85 (forall @t49 (=> @t103 (= @t165 (tptp.subset @t2 @t164))))))) % 4.21/4.46 (assume @p181 (forall @t11 (=> @t12 (forall @t57 (=> @t28 (tptp.subset @t166 @t41)))))) % 4.21/4.46 (assume @p182 (forall @t11 (=> @t12 (forall @t57 (=> @t28 (tptp.subset @t148 @t133)))))) % 4.21/4.46 (assume @p183 (forall @t6 (=> @t29 (= @t2 @t161)))) % 4.21/4.46 (assume @p184 (forall @t11 (=> @t12 (forall @t57 (=> @t28 (=> (tptp.subset @t81 @t145) (= @t166 @t41))))))) % 4.21/4.46 (assume @p185 (forall @t6 (=> @t93 (not (and @t167 (= @t91 tptp.empty_set)))))) % 4.21/4.46 (assume @p186 (forall @t11 (=> @t12 (forall @t57 (=> @t28 (=> (tptp.subset @t41 @t133) (= (tptp.relation_rng @t106) @t81))))))) % 4.21/4.46 (assume @p187 (forall @t6 (=> @t93 (=> @t167 (= (tptp.subset_difference @t1 @t78 @t99) (tptp.meet_of_subsets @t1 @t91)))))) % 4.21/4.46 (assume @p188 (forall @t6 (=> @t93 (=> @t167 (= (tptp.union_of_subsets @t1 @t91) (tptp.subset_difference @t1 @t78 @t101)))))) % 4.21/4.46 (assume @p189 (forall @t6 (= (tptp.set_difference @t1 @t79) @t19))) % 4.21/4.46 (assume @p190 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 4.21/4.46 (assume @p191 (forall @t70 (=> (and @t5 @t168) (tptp.element @t1 @t21)))) % 4.21/4.46 (assume @p192 (forall @t6 (and (not (and @t163 (forall @t49 (not @t169)))) (not (and (exists @t49 @t169) @t88))))) % 4.21/4.46 (assume @p193 (forall @t11 (=> @t64 (forall @t57 (=> @t85 (forall @t49 (=> (tptp.element @t21 @t1) (=> @t135 (tptp.in @t21 @t84))))))))) % 4.21/4.46 (assume @p194 (forall @t11 (=> @t46 (=> @t13 (forall @t57 (=> @t144 (= (= @t2 @t95) (and (= @t145 @t81) (forall @t25 (and (=> @t170 @t80) (=> @t80 @t170))))))))))) % 4.21/4.46 (assume @p195 (forall @t70 (=> @t103 (not (and (tptp.in @t2 @t164) @t160))))) % 4.21/4.46 (assume @p196 (forall @t11 (=> @t46 (=> @t13 (and (= @t81 (tptp.relation_dom @t95)) (= @t41 (tptp.relation_rng @t95))))))) % 4.21/4.46 (assume @p197 (forall @t11 (=> @t12 (=> (forall @t39 (not @t77)) @t60)))) % 4.21/4.46 (assume @p198 (forall @t6 (=> @t144 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t133)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t171 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t171 @t2) @t1))))))) % 4.21/4.46 (assume @p199 (forall @t70 (not (and @t5 @t168 (tptp.empty @t21))))) % 4.21/4.46 (assume @p200 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 4.21/4.46 (assume @p201 (forall @t6 (not (and @t29 @t7)))) % 4.21/4.46 (assume @p202 (forall @t11 (=> @t46 (=> @t13 (tptp.one_to_one @t95))))) % 4.21/4.46 (assume @p203 (forall @t70 (=> (and @t29 @t165) (tptp.disjoint @t1 @t21)))) % 4.21/4.46 (assume @p204 (forall @t11 (=> @t12 (=> (or @t173 @t172) @t60)))) % 4.21/4.46 (assume @p205 (forall @t11 (=> @t12 (= @t173 @t172)))) % 4.21/4.46 (assume @p206 (forall @t6 (= (= (tptp.set_difference @t1 @t120) @t1) @t4))) % 4.21/4.46 (assume @p207 (forall @t6 (=> @t144 (forall @t49 (=> @t127 (= (= @t2 @t125) (and (= @t145 (tptp.set_intersection2 @t124 @t1)) (forall @t44 (=> (tptp.in @t20 @t145) (= (tptp.apply @t2 @t20) (tptp.apply @t21 @t20))))))))))) % 4.21/4.46 (assume @p208 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t55))) % 4.21/4.46 (assume @p209 (forall @t11 (=> @t10 @t60))) % 4.21/4.46 (assume @p210 (forall @t6 (=> (tptp.subset @t55 @t120) @t30))) % 4.21/4.46 (assume @p211 (forall @t70 (=> @t127 (=> @t126 @t174)))) % 4.21/4.46 (assume @p212 (forall @t11 (and (= (tptp.relation_dom @t26) @t1) (= (tptp.relation_rng @t26) @t1)))) % 4.21/4.46 (assume @p213 (forall @t70 (=> @t127 (=> @t3 @t174)))) % 4.21/4.46 (assume @p214 (forall @t54 (=> (tptp.relation @t20) (= (tptp.in @t86 (tptp.relation_composition (tptp.identity_relation @t21) @t20)) (and @t122 (tptp.in @t86 @t20)))))) % 4.21/4.46 (assume @p215 (forall @t6 (not (and @t5 @t67)))) % 4.21/4.46 (assume @p216 (forall @t6 (not (and @t5 (forall @t49 (not (and @t63 (forall @t44 (not (and @t34 @t43)))))))))) % 4.21/4.46 (assume @p217 (forall @t6 (tptp.subset @t1 @t18))) % 4.21/4.46 (assume @p218 (forall @t6 (= @t88 (= @t79 @t1)))) % 4.21/4.46 (assume @p219 (forall @t70 (=> @t38 (= (tptp.in @t1 (tptp.relation_dom @t140)) (and @t5 @t153))))) % 4.21/4.49 (assume @p220 (forall @t6 (=> @t28 (tptp.subset @t175 @t2)))) % 4.21/4.49 (assume @p221 (forall @t6 (not (and @t10 @t94 @t67)))) % 4.21/4.49 (assume @p222 (forall @t70 (=> @t127 (= @t154 (and @t153 (= @t2 @t155)))))) % 4.21/4.49 (assume @p223 (forall @t70 (=> (and @t29 @t136) (tptp.subset (tptp.set_union2 @t1 @t21) @t2)))) % 4.21/4.49 (assume @p224 (forall @t70 (=> @t176 @t30))) % 4.21/4.49 (assume @p225 (forall @t6 (=> @t28 (= (tptp.relation_dom @t175) @t146)))) % 4.21/4.49 (assume @p226 (forall @t6 (=> @t28 (= @t175 (tptp.relation_composition @t26 @t2))))) % 4.21/4.49 (assume @p227 (forall @t6 (=> @t28 (tptp.subset (tptp.relation_rng @t175) @t133)))) % 4.21/4.49 (assume @p228 (forall @t11 (= (tptp.union @t65) @t1))) % 4.21/4.49 (assume @p229 (forall @t11 (exists @t57 (and @t5 @t139 (forall @t49 (not (and @t63 (forall @t44 (not (and @t34 (forall @t42 (=> (tptp.subset @t31 @t21) @t53)))))))) @t137)))) % 4.21/4.49 (assume @p230 (forall @t70 (=> @t176 @t89))) % 4.21/4.49 (step @p231 :rule instantiate :premises (@p18) :args ((@list @t177))) % 4.21/4.49 (step @p232 :rule eq-symm :args (@t118 @t5)) % 4.21/4.49 (step @p233 :rule cong :premises (@p232) :args (@t119)) % 4.21/4.49 (step @p234 :rule eq_resolve :premises (@p98 @p233)) % 4.21/4.49 (step @p235 :rule instantiate :premises (@p234) :args ((@list @t177 @t178))) % 4.21/4.49 (step @p236 :rule skolemize :premises (@p123)) % 4.21/4.49 (step @p237 :rule cnf_equiv_pos2 :args (@t182)) % 4.21/4.49 (step @p238 :rule reordering :premises (@p237) :args ((or @t181 @t183 (not @t182)))) % 4.21/4.49 (step @p239 :rule chain_m_resolution :premises (@p238 @p236 @p235) :args (@t183 (@list true false) (@list @t181 @t182))) % 4.21/4.49 (step @p240 :rule instantiate :premises (@p7) :args ((@list @t177 @t179))) % 4.21/4.49 (step @p241 :rule instantiate :premises (@p217) :args ((@list @t179 @t177))) % 4.21/4.49 (step @p242 :rule refl :args (@t186)) % 4.21/4.49 (step @p243 :rule refl :args (@t189)) % 4.21/4.49 (step @p244 :rule bool-double-not-elim :args (@t180)) % 4.21/4.49 (step @p245 :rule refl :args (@t191)) % 4.21/4.49 (step @p246 :rule nary_cong :premises (@p245 @p244 @p243 @p242) :args ((or @t191 (not @t183) @t189 @t186))) % 4.21/4.49 (assume-push @p268 @t190) % 4.21/4.49 (assume-push @p269 @t183) % 4.21/4.49 (assume-push @p270 @t188) % 4.21/4.49 (step @p250 :rule false_intro :premises (@p239)) % 4.21/4.49 (step @p251 :rule symm :premises (@p231)) % 4.21/4.49 (step @p252 :rule symm :premises (@p240)) % 4.21/4.49 (step @p253 :rule trans :premises (@p252 @p251)) % 4.21/4.49 (step @p254 :rule refl :args (@t179)) % 4.21/4.49 (step @p255 :rule cong :premises (@p254 @p253) :args (@t185)) % 4.21/4.49 (step @p256 :rule trans :premises (@p255 @p250)) % 4.21/4.49 (step @p257 :rule false_elim :premises (@p256)) % 4.21/4.49 (step-pop @p271 :rule scope :premises (@p257)) % 4.21/4.49 (step-pop @p272 :rule scope :premises (@p271)) % 4.21/4.49 (step-pop @p273 :rule scope :premises (@p272)) % 4.21/4.49 (step @p258 :rule process_scope :premises (@p273) :args (@t186)) % 4.21/4.49 (step @p262 :rule implies_elim :premises (@p258)) % 4.21/4.49 (step @p263 :rule cnf_and_neg :args (@t192)) % 4.21/4.49 (step @p264 :rule resolution :premises (@p263 @p262) :args (true @t192)) % 4.21/4.49 (step @p265 :rule eq_resolve :premises (@p264 @p246)) % 4.21/4.49 (step @p266 :rule reordering :premises (@p265) :args ((or @t180 @t191 @t189 @t186))) % 4.21/4.49 (step @p267 false :rule chain_m_resolution :premises (@p266 @p241 @p240 @p239 @p231) :args (false (@list false false true false) (@list @t185 @t188 @t180 @t190))) % 4.21/4.49 ) % 4.21/4.49 % SZS output end Proof % 4.21/4.49 % cvc5 exiting %------------------------------------------------------------------------------