%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU212+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:50:58 AM UTC 2026 % Result : Theorem 16.28s 16.54s % Output : Proof 16.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU212+2 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:40:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.36/0.55 %----Proving TF0_NAR, FOF, or CNF % 16.28/16.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.28/16.54 --- Run --no-e-matching --full-saturate-quant at 6... % 16.28/16.54 % SZS status Theorem % 16.28/16.54 % SZS output start Proof % 16.28/16.54 ( % 16.28/16.54 (declare-sort $$unsorted 0) % 16.28/16.54 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 16.28/16.54 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 16.28/16.54 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.empty (-> $$unsorted Bool)) % 16.28/16.54 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 16.28/16.54 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.relation (-> $$unsorted Bool)) % 16.28/16.54 (declare-const tptp.empty_set $$unsorted) % 16.28/16.54 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.function (-> $$unsorted Bool)) % 16.28/16.54 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 16.28/16.54 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 16.28/16.54 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 16.28/16.54 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 16.28/16.54 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 16.28/16.54 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 16.28/16.54 (define @t1 () (@var "A" $$unsorted)) % 16.28/16.54 (define @t2 () (@var "B" $$unsorted)) % 16.28/16.54 (define @t3 () (tptp.in @t2 @t1)) % 16.28/16.54 (define @t4 () (not @t3)) % 16.28/16.54 (define @t5 () (tptp.in @t1 @t2)) % 16.28/16.54 (define @t6 () (@list @t1 @t2)) % 16.28/16.54 (define @t7 () (tptp.proper_subset @t2 @t1)) % 16.28/16.54 (define @t8 () (tptp.proper_subset @t1 @t2)) % 16.28/16.54 (define @t9 () (tptp.function @t1)) % 16.28/16.54 (define @t10 () (tptp.empty @t1)) % 16.28/16.54 (define @t11 () (@list @t1)) % 16.28/16.54 (define @t12 () (tptp.relation @t1)) % 16.28/16.54 (define @t13 () (tptp.unordered_pair @t1 @t2)) % 16.28/16.54 (define @t14 () (tptp.set_union2 @t2 @t1)) % 16.28/16.54 (define @t15 () (tptp.set_union2 @t1 @t2)) % 16.28/16.54 (define @t16 () (tptp.set_intersection2 @t1 @t2)) % 16.28/16.54 (define @t17 () (@var "D" $$unsorted)) % 16.28/16.54 (define @t18 () (@var "C" $$unsorted)) % 16.28/16.54 (define @t19 () (tptp.in @t18 @t1)) % 16.28/16.54 (define @t20 () (tptp.ordered_pair @t18 @t17)) % 16.28/16.54 (define @t21 () (tptp.in @t20 @t2)) % 16.28/16.54 (define @t22 () (@list @t18 @t17)) % 16.28/16.54 (define @t23 () (tptp.identity_relation @t1)) % 16.28/16.54 (define @t24 () (tptp.relation @t2)) % 16.28/16.54 (define @t25 () (tptp.subset @t1 @t2)) % 16.28/16.54 (define @t26 () (= @t1 @t2)) % 16.28/16.54 (define @t27 () (@var "E" $$unsorted)) % 16.28/16.54 (define @t28 () (tptp.ordered_pair @t17 @t27)) % 16.28/16.54 (define @t29 () (tptp.in @t28 @t1)) % 16.28/16.54 (define @t30 () (tptp.in @t17 @t2)) % 16.28/16.54 (define @t31 () (tptp.in @t28 @t18)) % 16.28/16.54 (define @t32 () (@list @t17 @t27)) % 16.28/16.54 (define @t33 () (tptp.relation_dom_restriction @t1 @t2)) % 16.28/16.54 (define @t34 () (tptp.relation @t18)) % 16.28/16.54 (define @t35 () (@list @t2 @t18)) % 16.28/16.54 (define @t36 () (tptp.in @t27 @t1)) % 16.28/16.54 (define @t37 () (tptp.relation_rng_restriction @t1 @t2)) % 16.28/16.54 (define @t38 () (@list @t18)) % 16.28/16.54 (define @t39 () (tptp.in @t27 @t2)) % 16.28/16.54 (define @t40 () (@list @t27)) % 16.28/16.54 (define @t41 () (tptp.in @t17 @t18)) % 16.28/16.54 (define @t42 () (@list @t17)) % 16.28/16.54 (define @t43 () (@list @t2)) % 16.28/16.54 (define @t44 () (= @t2 tptp.empty_set)) % 16.28/16.54 (define @t45 () (= @t2 (tptp.set_meet @t1))) % 16.28/16.54 (define @t46 () (= @t1 tptp.empty_set)) % 16.28/16.54 (define @t47 () (tptp.in @t18 @t17)) % 16.28/16.54 (define @t48 () (tptp.in @t17 @t1)) % 16.28/16.54 (define @t49 () (tptp.in @t18 @t2)) % 16.28/16.54 (define @t50 () (not @t46)) % 16.28/16.54 (define @t51 () (tptp.singleton @t1)) % 16.28/16.54 (define @t52 () (tptp.powerset @t1)) % 16.28/16.54 (define @t53 () (tptp.in @t20 @t1)) % 16.28/16.54 (define @t54 () (tptp.empty @t2)) % 16.28/16.54 (define @t55 () (tptp.element @t2 @t1)) % 16.28/16.54 (define @t56 () (not @t10)) % 16.28/16.54 (define @t57 () (@list @t1 @t2 @t18)) % 16.28/16.54 (define @t58 () (@var "F" $$unsorted)) % 16.28/16.54 (define @t59 () (tptp.cartesian_product2 @t1 @t2)) % 16.28/16.54 (define @t60 () (forall @t38 (=> @t19 @t49))) % 16.28/16.54 (define @t61 () (= @t18 (tptp.apply @t1 @t2))) % 16.28/16.54 (define @t62 () (= @t61 (= @t18 tptp.empty_set))) % 16.28/16.54 (define @t63 () (tptp.relation_dom @t1)) % 16.28/16.54 (define @t64 () (tptp.in @t2 @t63)) % 16.28/16.54 (define @t65 () (not @t64)) % 16.28/16.54 (define @t66 () (tptp.in (tptp.ordered_pair @t2 @t18) @t1)) % 16.28/16.54 (define @t67 () (= @t61 @t66)) % 16.28/16.54 (define @t68 () (and (=> @t64 @t67) (=> @t65 @t62))) % 16.28/16.54 (define @t69 () (forall @t35 @t68)) % 16.28/16.54 (define @t70 () (and @t12 @t9)) % 16.28/16.54 (define @t71 () (=> @t70 @t69)) % 16.28/16.54 (define @t72 () (forall @t11 @t71)) % 16.28/16.54 (define @t73 () (tptp.cast_to_subset @t1)) % 16.28/16.54 (define @t74 () (tptp.set_difference @t1 @t2)) % 16.28/16.54 (define @t75 () (tptp.in (tptp.ordered_pair @t17 @t18) @t1)) % 16.28/16.54 (define @t76 () (tptp.relation_rng @t1)) % 16.28/16.54 (define @t77 () (tptp.subset_complement @t1 @t2)) % 16.28/16.54 (define @t78 () (tptp.element @t2 @t52)) % 16.28/16.54 (define @t79 () (tptp.ordered_pair @t1 @t2)) % 16.28/16.54 (define @t80 () (tptp.relation_inverse @t1)) % 16.28/16.54 (define @t81 () (tptp.disjoint @t1 @t2)) % 16.28/16.54 (define @t82 () (tptp.relation_composition @t1 @t2)) % 16.28/16.54 (define @t83 () (tptp.complements_of_subsets @t1 @t2)) % 16.28/16.54 (define @t84 () (tptp.powerset @t52)) % 16.28/16.54 (define @t85 () (tptp.element @t2 @t84)) % 16.28/16.54 (define @t86 () (not @t26)) % 16.28/16.54 (define @t87 () (tptp.relation @t82)) % 16.28/16.54 (define @t88 () (and @t12 @t24)) % 16.28/16.54 (define @t89 () (tptp.union_of_subsets @t1 @t2)) % 16.28/16.54 (define @t90 () (tptp.meet_of_subsets @t1 @t2)) % 16.28/16.54 (define @t91 () (tptp.subset_difference @t1 @t2 @t18)) % 16.28/16.54 (define @t92 () (tptp.element @t18 @t52)) % 16.28/16.54 (define @t93 () (and @t78 @t92)) % 16.28/16.54 (define @t94 () (tptp.relation_composition @t2 @t1)) % 16.28/16.54 (define @t95 () (and @t10 @t24)) % 16.28/16.54 (define @t96 () (tptp.relation tptp.empty_set)) % 16.28/16.54 (define @t97 () (tptp.empty tptp.empty_set)) % 16.28/16.54 (define @t98 () (not @t54)) % 16.28/16.54 (define @t99 () (tptp.empty @t63)) % 16.28/16.54 (define @t100 () (and @t56 @t12)) % 16.28/16.54 (define @t101 () (tptp.empty @t76)) % 16.28/16.54 (define @t102 () (tptp.disjoint @t51 @t2)) % 16.28/16.54 (define @t103 () (tptp.singleton @t2)) % 16.28/16.54 (define @t104 () (tptp.union @t2)) % 16.28/16.54 (define @t105 () (tptp.in @t1 @t18)) % 16.28/16.54 (define @t106 () (@list @t1 @t2 @t18 @t17)) % 16.28/16.54 (define @t107 () (tptp.element @t1 (tptp.powerset @t2))) % 16.28/16.54 (define @t108 () (tptp.set_difference @t2 @t18)) % 16.28/16.54 (define @t109 () (= @t1 @t18)) % 16.28/16.54 (define @t110 () (tptp.relation_rng @t18)) % 16.28/16.54 (define @t111 () (tptp.relation_rng @t37)) % 16.28/16.54 (define @t112 () (tptp.relation_rng @t2)) % 16.28/16.54 (define @t113 () (tptp.cartesian_product2 @t1 @t18)) % 16.28/16.54 (define @t114 () (not @t49)) % 16.28/16.54 (define @t115 () (tptp.subset @t18 @t2)) % 16.28/16.54 (define @t116 () (forall @t38 (not (and @t115 (not (tptp.are_equipotent @t18 @t2)) @t114)))) % 16.28/16.54 (define @t117 () (tptp.powerset @t18)) % 16.28/16.54 (define @t118 () (forall @t22 (=> (and @t49 (tptp.subset @t17 @t18)) @t30))) % 16.28/16.54 (define @t119 () (tptp.relation_dom_restriction @t18 @t2)) % 16.28/16.54 (define @t120 () (tptp.relation_dom @t18)) % 16.28/16.54 (define @t121 () (tptp.relation_image @t2 @t1)) % 16.28/16.54 (define @t122 () (tptp.relation_dom @t2)) % 16.28/16.54 (define @t123 () (tptp.set_intersection2 @t122 @t1)) % 16.28/16.54 (define @t124 () (tptp.relation_rng @t82)) % 16.28/16.54 (define @t125 () (tptp.relation_inverse_image @t18 @t2)) % 16.28/16.54 (define @t126 () (tptp.relation_inverse_image @t2 @t1)) % 16.28/16.54 (define @t127 () (tptp.set_intersection2 @t2 @t18)) % 16.28/16.54 (define @t128 () (tptp.subset @t1 @t18)) % 16.28/16.54 (define @t129 () (tptp.element @t1 @t2)) % 16.28/16.54 (define @t130 () (tptp.in @t1 @t120)) % 16.28/16.54 (define @t131 () (and @t130 (tptp.in @t2 @t110))) % 16.28/16.54 (define @t132 () (tptp.in @t79 @t18)) % 16.28/16.54 (define @t133 () (=> @t132 @t131)) % 16.28/16.54 (define @t134 () (forall @t57 (=> @t34 @t133))) % 16.28/16.54 (define @t135 () (tptp.relation_field @t18)) % 16.28/16.54 (define @t136 () (tptp.in @t2 @t18)) % 16.28/16.54 (define @t137 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 16.28/16.54 (define @t138 () (and @t19 @t49)) % 16.28/16.54 (define @t139 () (not @t81)) % 16.28/16.54 (define @t140 () (tptp.subset_complement @t1 @t18)) % 16.28/16.54 (define @t141 () (tptp.disjoint @t2 @t18)) % 16.28/16.54 (define @t142 () (tptp.relation_dom @t82)) % 16.28/16.54 (define @t143 () (not @t44)) % 16.28/16.54 (define @t144 () (tptp.element @t2 @t117)) % 16.28/16.54 (define @t145 () (tptp.in @t18 @t16)) % 16.28/16.54 (define @t146 () (= @t76 tptp.empty_set)) % 16.28/16.54 (define @t147 () (= @t63 tptp.empty_set)) % 16.28/16.54 (define @t148 () (tptp.relation_dom_restriction @t2 @t1)) % 16.28/16.54 (define @t149 () (= @t132 (and @t130 (= @t2 (tptp.apply @t18 @t1))))) % 16.28/16.54 (define @t150 () (tptp.function @t18)) % 16.28/16.54 (define @t151 () (and @t34 @t150)) % 16.28/16.54 (define @t152 () (forall @t57 (=> @t151 @t149))) % 16.28/16.54 (define @t153 () (not @t152)) % 16.28/16.54 (define @t154 () (= @t51 (tptp.unordered_pair @t2 @t18))) % 16.28/16.54 (define @t155 () (not @t150)) % 16.28/16.54 (define @t156 () (not @t34)) % 16.28/16.54 (define @t157 () (or @t156 @t155 @t149)) % 16.28/16.54 (define @t158 () (forall @t57 @t157)) % 16.28/16.54 (define @t159 () (@quantifiers_skolemize @t158 0)) % 16.28/16.54 (define @t160 () (@quantifiers_skolemize @t158 2)) % 16.28/16.54 (define @t161 () (@quantifiers_skolemize @t158 1)) % 16.28/16.54 (define @t162 () (= @t161 (tptp.apply @t160 @t159))) % 16.28/16.54 (define @t163 () (tptp.relation_dom @t160)) % 16.28/16.54 (define @t164 () (tptp.in @t159 @t163)) % 16.28/16.54 (define @t165 () (and @t164 @t162)) % 16.28/16.54 (define @t166 () (tptp.in (tptp.ordered_pair @t159 @t161) @t160)) % 16.28/16.54 (define @t167 () (= @t166 @t165)) % 16.28/16.54 (define @t168 () (tptp.function @t160)) % 16.28/16.54 (define @t169 () (not @t168)) % 16.28/16.54 (define @t170 () (tptp.relation @t160)) % 16.28/16.54 (define @t171 () (not @t170)) % 16.28/16.54 (define @t172 () (or @t171 @t169 @t167)) % 16.28/16.54 (define @t173 () (@list true)) % 16.28/16.54 (define @t174 () (@list @t172)) % 16.28/16.54 (define @t175 () (not @t132)) % 16.28/16.54 (define @t176 () (and @t164 (tptp.in @t161 (tptp.relation_rng @t160)))) % 16.28/16.54 (define @t177 () (not @t166)) % 16.28/16.54 (define @t178 () (or @t171 @t177 @t176)) % 16.28/16.54 (define @t179 () (@var "BOUND_VARIABLE_8870" $$unsorted)) % 16.28/16.54 (define @t180 () (@var "BOUND_VARIABLE_8868" $$unsorted)) % 16.28/16.54 (define @t181 () (or (tptp.in @t180 @t63) (= (= @t179 (tptp.apply @t1 @t180)) (= tptp.empty_set @t179)))) % 16.28/16.54 (define @t182 () (@var "BOUND_VARIABLE_8858" $$unsorted)) % 16.28/16.54 (define @t183 () (@var "BOUND_VARIABLE_8856" $$unsorted)) % 16.28/16.54 (define @t184 () (or (not (tptp.in @t183 @t63)) (= (= @t182 (tptp.apply @t1 @t183)) (tptp.in (tptp.ordered_pair @t183 @t182) @t1)))) % 16.28/16.54 (define @t185 () (and @t184 @t181)) % 16.28/16.54 (define @t186 () (not @t9)) % 16.28/16.54 (define @t187 () (not @t12)) % 16.28/16.54 (define @t188 () (or @t187 @t186 @t185)) % 16.28/16.54 (define @t189 () (forall (@list @t1 @t183 @t182 @t180 @t179) @t188)) % 16.28/16.54 (define @t190 () (@list @t183 @t182 @t180 @t179)) % 16.28/16.54 (define @t191 () (forall @t190 @t188)) % 16.28/16.54 (define @t192 () (forall (@list @t180 @t179) @t181)) % 16.28/16.54 (define @t193 () (@var "BOUND_VARIABLE_8833" $$unsorted)) % 16.28/16.54 (define @t194 () (@var "BOUND_VARIABLE_8831" $$unsorted)) % 16.28/16.54 (define @t195 () (@list @t194 @t193)) % 16.28/16.54 (define @t196 () (forall @t190 @t181)) % 16.28/16.54 (define @t197 () (forall (@list @t183 @t182) @t184)) % 16.28/16.54 (define @t198 () (@var "BOUND_VARIABLE_8819" $$unsorted)) % 16.28/16.54 (define @t199 () (@var "BOUND_VARIABLE_8817" $$unsorted)) % 16.28/16.54 (define @t200 () (@list @t199 @t198)) % 16.28/16.54 (define @t201 () (forall @t190 @t184)) % 16.28/16.54 (define @t202 () (and @t201 @t196)) % 16.28/16.54 (define @t203 () (forall @t190 @t185)) % 16.28/16.54 (define @t204 () (or @t187 @t186 @t203)) % 16.28/16.54 (define @t205 () (= @t193 (tptp.apply @t1 @t194))) % 16.28/16.54 (define @t206 () (tptp.in @t194 @t63)) % 16.28/16.54 (define @t207 () (@list @t194 @t193)) % 16.28/16.54 (define @t208 () (forall (@list @t199 @t198) (or (not (tptp.in @t199 @t63)) (= (= @t198 (tptp.apply @t1 @t199)) (tptp.in (tptp.ordered_pair @t199 @t198) @t1))))) % 16.28/16.54 (define @t209 () (and @t208 (forall @t207 (or @t206 (= @t205 (= tptp.empty_set @t193)))))) % 16.28/16.54 (define @t210 () (or @t187 @t186 @t209)) % 16.28/16.54 (define @t211 () (= @t205 (= @t193 tptp.empty_set))) % 16.28/16.54 (define @t212 () (or @t206 @t211)) % 16.28/16.54 (define @t213 () (forall @t207 @t212)) % 16.28/16.54 (define @t214 () (or @t64 @t62)) % 16.28/16.54 (define @t215 () (forall @t35 @t214)) % 16.28/16.54 (define @t216 () (@list @t2 @t18)) % 16.28/16.54 (define @t217 () (or @t65 @t67)) % 16.28/16.54 (define @t218 () (forall @t35 @t217)) % 16.28/16.54 (define @t219 () (and @t218 @t215)) % 16.28/16.54 (define @t220 () (= tptp.empty_set (tptp.apply @t160 tptp.empty_set))) % 16.28/16.54 (define @t221 () (= tptp.empty_set tptp.empty_set)) % 16.28/16.54 (define @t222 () (tptp.in tptp.empty_set @t163)) % 16.28/16.54 (define @t223 () (or @t222 (= @t220 @t221))) % 16.28/16.54 (define @t224 () (not @t164)) % 16.28/16.54 (define @t225 () (or @t224 (= @t162 @t166))) % 16.28/16.54 (define @t226 () (and @t225 @t223)) % 16.28/16.54 (define @t227 () (or @t171 @t169 @t226)) % 16.28/16.54 (define @t228 () (= @t166 @t162)) % 16.28/16.54 (define @t229 () (or @t224 @t228)) % 16.28/16.54 (define @t230 () (and @t229 (or @t222 @t220))) % 16.28/16.54 (define @t231 () (or @t171 @t169 @t230)) % 16.28/16.54 (define @t232 () (@list false)) % 16.28/16.54 (define @t233 () (not @t228)) % 16.28/16.54 (define @t234 () (not @t165)) % 16.28/16.54 (define @t235 () (@list @t165)) % 16.28/16.54 (assume @p1 (forall @t6 (=> @t5 @t4))) % 16.28/16.54 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 16.28/16.54 (assume @p3 (forall @t11 (=> @t10 @t9))) % 16.28/16.54 (assume @p4 (forall @t11 (=> @t10 @t12))) % 16.28/16.54 (assume @p5 (forall @t6 (= @t13 (tptp.unordered_pair @t2 @t1)))) % 16.28/16.54 (assume @p6 (forall @t6 (= @t15 @t14))) % 16.28/16.54 (assume @p7 (forall @t6 (= @t16 (tptp.set_intersection2 @t2 @t1)))) % 16.28/16.54 (assume @p8 (forall @t6 (=> @t24 (= (= @t2 @t23) (forall @t22 (= @t21 (and @t19 (= @t18 @t17)))))))) % 16.28/16.54 (assume @p9 (forall @t6 (= @t26 (and @t25 (tptp.subset @t2 @t1))))) % 16.28/16.54 (assume @p10 (forall @t11 (=> @t12 (forall @t35 (=> @t34 (= (= @t18 @t33) (forall @t32 (= @t31 (and @t30 @t29))))))))) % 16.28/16.54 (assume @p11 (forall @t6 (=> @t24 (forall @t38 (=> @t34 (= (= @t18 @t37) (forall @t32 (= @t31 (and @t36 (tptp.in @t28 @t2)))))))))) % 16.28/16.54 (assume @p12 (forall @t11 (=> @t12 (forall @t35 (= (= @t18 (tptp.relation_image @t1 @t2)) (forall @t42 (= @t41 (exists @t40 (and (tptp.in (tptp.ordered_pair @t27 @t17) @t1) @t39))))))))) % 16.28/16.54 (assume @p13 (forall @t11 (=> @t12 (forall @t35 (= (= @t18 (tptp.relation_inverse_image @t1 @t2)) (forall @t42 (= @t41 (exists @t40 (and @t29 @t39))))))))) % 16.28/16.54 (assume @p14 (forall @t11 (= @t12 (forall @t43 (not (and @t3 (forall @t22 (not (= @t2 @t20))))))))) % 16.28/16.54 (assume @p15 (forall @t6 (and (=> @t50 (= @t45 (forall @t38 (= @t49 (forall @t42 (=> @t48 @t47)))))) (=> @t46 (= @t45 @t44))))) % 16.28/16.54 (assume @p16 (forall @t6 (= (= @t2 @t51) (forall @t38 (= @t49 (= @t18 @t1)))))) % 16.28/16.54 (assume @p17 (forall @t11 (= @t46 (forall @t43 @t4)))) % 16.28/16.54 (assume @p18 (forall @t6 (= (= @t2 @t52) (forall @t38 (= @t49 (tptp.subset @t18 @t1)))))) % 16.28/16.54 (assume @p19 (forall @t11 (=> @t12 (forall @t43 (=> @t24 (= @t26 (forall @t22 (= @t53 @t21)))))))) % 16.28/16.54 (assume @p20 (forall @t6 (and (=> @t56 (= @t55 @t3)) (=> @t10 (= @t55 @t54))))) % 16.28/16.54 (assume @p21 (forall @t57 (= (= @t18 @t13) (forall @t42 (= @t41 (or (= @t17 @t1) (= @t17 @t2))))))) % 16.28/16.54 (assume @p22 (forall @t57 (= (= @t18 @t15) (forall @t42 (= @t41 (or @t48 @t30)))))) % 16.28/16.54 (assume @p23 (forall @t57 (= (= @t18 @t59) (forall @t42 (= @t41 (exists (@list @t27 @t58) (and @t36 (tptp.in @t58 @t2) (= @t17 (tptp.ordered_pair @t27 @t58))))))))) % 16.28/16.54 (assume @p24 (forall @t11 (=> @t12 (forall @t43 (=> @t24 (= @t25 (forall @t22 (=> @t53 @t21)))))))) % 16.28/16.54 (assume @p25 (forall @t6 (= @t25 @t60))) % 16.28/16.54 (assume @p26 (forall @t57 (= (= @t18 @t16) (forall @t42 (= @t41 (and @t48 @t30)))))) % 16.28/16.54 (assume @p27 @t72) % 16.28/16.54 (assume @p28 (forall @t11 (=> @t12 (forall @t43 (= (= @t2 @t63) (forall @t38 (= @t49 (exists @t42 @t53)))))))) % 16.28/16.54 (assume @p29 (forall @t11 (= @t73 @t1))) % 16.28/16.54 (assume @p30 (forall @t6 (= (= @t2 (tptp.union @t1)) (forall @t38 (= @t49 (exists @t42 (and @t47 @t48))))))) % 16.28/16.54 (assume @p31 (forall @t57 (= (= @t18 @t74) (forall @t42 (= @t41 (and @t48 (not @t30))))))) % 16.28/16.54 (assume @p32 (forall @t11 (=> @t12 (forall @t43 (= (= @t2 @t76) (forall @t38 (= @t49 (exists @t42 @t75)))))))) % 16.28/16.54 (assume @p33 (forall @t6 (=> @t78 (= @t77 @t74)))) % 16.28/16.54 (assume @p34 (forall @t6 (= @t79 (tptp.unordered_pair @t13 @t51)))) % 16.28/16.54 (assume @p35 (forall @t11 (=> @t12 (= (tptp.relation_field @t1) (tptp.set_union2 @t63 @t76))))) % 16.28/16.54 (assume @p36 (forall @t11 (=> @t12 (forall @t43 (=> @t24 (= (= @t2 @t80) (forall @t22 (= @t21 @t75)))))))) % 16.28/16.54 (assume @p37 (forall @t6 (= @t81 (= @t16 tptp.empty_set)))) % 16.28/16.54 (assume @p38 (forall @t11 (=> @t12 (forall @t43 (=> @t24 (forall @t38 (=> @t34 (= (= @t18 @t82) (forall @t32 (= @t31 (exists (@list @t58) (and (tptp.in (tptp.ordered_pair @t17 @t58) @t1) (tptp.in (tptp.ordered_pair @t58 @t27) @t2))))))))))))) % 16.28/16.54 (assume @p39 (forall @t6 (=> @t85 (forall @t38 (=> (tptp.element @t18 @t84) (= (= @t18 @t83) (forall @t42 (=> (tptp.element @t17 @t52) (= @t41 (tptp.in (tptp.subset_complement @t1 @t17) @t2)))))))))) % 16.28/16.54 (assume @p40 (forall @t6 (= @t8 (and @t25 @t86)))) % 16.28/16.54 (assume @p41 true) % 16.28/16.54 (assume @p42 (forall @t11 (tptp.element @t73 @t52))) % 16.28/16.54 (assume @p43 (forall @t6 (=> @t78 (tptp.element @t77 @t52)))) % 16.28/16.54 (assume @p44 (forall @t11 (=> @t12 (tptp.relation @t80)))) % 16.28/16.54 (assume @p45 (forall @t6 (=> @t88 @t87))) % 16.28/16.54 (assume @p46 (forall @t6 (=> @t85 (tptp.element @t89 @t52)))) % 16.28/16.54 (assume @p47 (forall @t11 (tptp.relation @t23))) % 16.28/16.54 (assume @p48 (forall @t6 (=> @t85 (tptp.element @t90 @t52)))) % 16.28/16.54 (assume @p49 (forall @t57 (=> @t93 (tptp.element @t91 @t52)))) % 16.28/16.54 (assume @p50 (forall @t6 (=> @t12 (tptp.relation @t33)))) % 16.28/16.54 (assume @p51 (forall @t6 (=> @t85 (tptp.element @t83 @t84)))) % 16.28/16.54 (assume @p52 (forall @t6 (=> @t24 (tptp.relation @t37)))) % 16.28/16.54 (assume @p53 (forall @t11 (exists @t43 @t55))) % 16.28/16.54 (assume @p54 (forall @t6 (=> @t95 (and (tptp.empty @t94) (tptp.relation @t94))))) % 16.28/16.54 (assume @p55 (and @t97 @t96 (tptp.relation_empty_yielding tptp.empty_set))) % 16.28/16.54 (assume @p56 (forall @t6 (=> @t88 (tptp.relation @t16)))) % 16.28/16.54 (assume @p57 (forall @t11 (not (tptp.empty @t52)))) % 16.28/16.54 (assume @p58 @t97) % 16.28/16.54 (assume @p59 (forall @t6 (not (tptp.empty @t79)))) % 16.28/16.54 (assume @p60 (forall @t6 (=> @t88 (tptp.relation @t15)))) % 16.28/16.54 (assume @p61 (forall @t11 (not (tptp.empty @t51)))) % 16.28/16.54 (assume @p62 (forall @t6 (=> @t56 (not (tptp.empty @t15))))) % 16.28/16.54 (assume @p63 (forall @t6 (not (tptp.empty @t13)))) % 16.28/16.54 (assume @p64 (forall @t6 (=> @t56 (not (tptp.empty @t14))))) % 16.28/16.54 (assume @p65 (and @t97 @t96)) % 16.28/16.54 (assume @p66 (forall @t6 (=> (and @t56 @t98) (not (tptp.empty @t59))))) % 16.28/16.54 (assume @p67 (forall @t11 (=> @t100 (not @t99)))) % 16.28/16.54 (assume @p68 (forall @t11 (=> @t100 (not @t101)))) % 16.28/16.54 (assume @p69 (forall @t11 (=> @t10 (and @t99 (tptp.relation @t63))))) % 16.28/16.54 (assume @p70 (forall @t11 (=> @t10 (and @t101 (tptp.relation @t76))))) % 16.28/16.54 (assume @p71 (forall @t6 (=> @t95 (and (tptp.empty @t82) @t87)))) % 16.28/16.54 (assume @p72 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 16.28/16.54 (assume @p73 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 16.28/16.54 (assume @p74 (forall @t6 (=> @t78 (= (tptp.subset_complement @t1 @t77) @t2)))) % 16.28/16.54 (assume @p75 (forall @t11 (=> @t12 (= (tptp.relation_inverse @t80) @t1)))) % 16.28/16.54 (assume @p76 (forall @t6 (=> @t85 (= (tptp.complements_of_subsets @t1 @t83) @t2)))) % 16.28/16.54 (assume @p77 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 16.28/16.54 (assume @p78 (forall @t11 (not (= @t51 tptp.empty_set)))) % 16.28/16.54 (assume @p79 (forall @t6 (=> @t5 (= (tptp.set_union2 @t51 @t2) @t2)))) % 16.28/16.54 (assume @p80 (forall @t6 (not (and @t102 @t5)))) % 16.28/16.54 (assume @p81 (forall @t6 (=> (not @t5) @t102))) % 16.28/16.54 (assume @p82 (forall @t6 (= (tptp.subset @t51 @t2) @t5))) % 16.28/16.54 (assume @p83 (forall @t6 (= (= @t74 tptp.empty_set) @t25))) % 16.28/16.54 (assume @p84 (forall @t6 (=> @t78 (forall @t38 (=> @t49 @t19))))) % 16.28/16.54 (assume @p85 (forall @t57 (=> @t25 (or @t19 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t18))))))) % 16.28/16.54 (assume @p86 (forall @t6 (= (tptp.subset @t1 @t103) (or @t46 (= @t1 @t103))))) % 16.28/16.54 (assume @p87 (forall @t6 (=> @t5 (tptp.subset @t1 @t104)))) % 16.28/16.54 (assume @p88 (forall @t106 (= (tptp.in @t79 (tptp.cartesian_product2 @t18 @t17)) (and @t105 (tptp.in @t2 @t17))))) % 16.28/16.54 (assume @p89 (forall @t6 (=> @t60 @t107))) % 16.28/16.54 (assume @p90 (exists @t11 @t70)) % 16.28/16.54 (assume @p91 (exists @t11 (and @t10 @t12))) % 16.28/16.54 (assume @p92 (forall @t11 (=> @t56 (exists @t43 (and @t78 @t98))))) % 16.28/16.54 (assume @p93 (exists @t11 @t10)) % 16.28/16.54 (assume @p94 (exists @t11 @t100)) % 16.28/16.54 (assume @p95 (forall @t11 (exists @t43 (and @t78 @t54)))) % 16.28/16.54 (assume @p96 (exists @t11 @t56)) % 16.28/16.54 (assume @p97 (exists @t11 (and @t12 (tptp.relation_empty_yielding @t1)))) % 16.28/16.54 (assume @p98 (forall @t6 (=> @t85 (= @t89 @t104)))) % 16.28/16.54 (assume @p99 (forall @t6 (=> @t85 (= @t90 (tptp.set_meet @t2))))) % 16.28/16.54 (assume @p100 (forall @t57 (=> @t93 (= @t91 @t108)))) % 16.28/16.54 (assume @p101 (forall @t6 (tptp.subset @t1 @t1))) % 16.28/16.54 (assume @p102 (forall @t6 (=> @t81 (tptp.disjoint @t2 @t1)))) % 16.28/16.54 (assume @p103 (forall @t106 (not (and (= @t13 (tptp.unordered_pair @t18 @t17)) (not @t109) (not (= @t1 @t17)))))) % 16.28/16.54 (assume @p104 (forall @t57 (=> @t34 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t18))) (and @t5 (tptp.in @t1 @t110)))))) % 16.28/16.54 (assume @p105 (forall @t6 (=> @t24 (tptp.subset @t111 @t1)))) % 16.28/16.54 (assume @p106 (forall @t6 (=> @t24 (tptp.subset @t37 @t2)))) % 16.28/16.54 (assume @p107 (forall @t6 (=> @t24 (tptp.subset @t111 @t112)))) % 16.28/16.54 (assume @p108 (forall @t57 (=> @t25 (and (tptp.subset @t113 (tptp.cartesian_product2 @t2 @t18)) (tptp.subset (tptp.cartesian_product2 @t18 @t1) (tptp.cartesian_product2 @t18 @t2)))))) % 16.28/16.54 (assume @p109 (forall @t6 (=> @t24 (= @t111 (tptp.set_intersection2 @t112 @t1))))) % 16.28/16.54 (assume @p110 (forall @t106 (=> (and @t25 (tptp.subset @t18 @t17)) (tptp.subset @t113 (tptp.cartesian_product2 @t2 @t17))))) % 16.28/16.54 (assume @p111 (forall @t6 (=> @t25 (= @t15 @t2)))) % 16.28/16.54 (assume @p112 (forall @t11 (exists @t43 (and @t5 @t118 (forall @t38 (=> @t49 (tptp.in @t117 @t2))) @t116)))) % 16.28/16.54 (assume @p113 (forall @t57 (=> @t34 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t18) @t2) (tptp.relation_rng_restriction @t1 @t119))))) % 16.28/16.54 (assume @p114 (forall @t57 (=> @t34 (= (tptp.in @t1 (tptp.relation_image @t18 @t2)) (exists @t42 (and (tptp.in @t17 @t120) (tptp.in (tptp.ordered_pair @t17 @t1) @t18) @t30)))))) % 16.28/16.54 (assume @p115 (forall @t6 (=> @t24 (tptp.subset @t121 @t112)))) % 16.28/16.54 (assume @p116 (forall @t6 (=> @t24 (= @t121 (tptp.relation_image @t2 @t123))))) % 16.28/16.54 (assume @p117 (forall @t11 (=> @t12 (= (tptp.relation_image @t1 @t63) @t76)))) % 16.28/16.54 (assume @p118 (forall @t11 (=> @t12 (forall @t43 (=> @t24 (= @t124 (tptp.relation_image @t2 @t76))))))) % 16.28/16.54 (assume @p119 (forall @t57 (=> @t34 (= (tptp.in @t1 @t125) (exists @t42 (and (tptp.in @t17 @t110) (tptp.in (tptp.ordered_pair @t1 @t17) @t18) @t30)))))) % 16.28/16.54 (assume @p120 (forall @t6 (=> @t24 (tptp.subset @t126 @t122)))) % 16.28/16.54 (assume @p121 (forall @t6 (=> @t24 (not (and @t50 (tptp.subset @t1 @t112) (= @t126 tptp.empty_set)))))) % 16.28/16.54 (assume @p122 (forall @t57 (=> @t34 (=> @t25 (tptp.subset (tptp.relation_inverse_image @t18 @t1) @t125))))) % 16.28/16.54 (assume @p123 (forall @t6 (tptp.subset @t16 @t1))) % 16.28/16.54 (assume @p124 (forall @t57 (=> (and @t25 @t128) (tptp.subset @t1 @t127)))) % 16.28/16.54 (assume @p125 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 16.28/16.54 (assume @p126 (forall @t6 (=> @t5 @t129))) % 16.28/16.54 (assume @p127 (forall @t57 (=> (and @t25 (tptp.subset @t2 @t18)) @t128))) % 16.28/16.54 (assume @p128 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 16.28/16.54 (assume @p129 @t134) % 16.28/16.54 (assume @p130 (forall @t11 (=> @t12 (tptp.subset @t1 (tptp.cartesian_product2 @t63 @t76))))) % 16.28/16.54 (assume @p131 (forall @t11 (=> @t12 (forall @t43 (=> @t24 (=> @t25 (and (tptp.subset @t63 @t122) (tptp.subset @t76 @t112)))))))) % 16.28/16.54 (assume @p132 (forall @t57 (=> @t25 (tptp.subset (tptp.set_intersection2 @t1 @t18) @t127)))) % 16.28/16.54 (assume @p133 (forall @t6 (=> @t25 (= @t16 @t1)))) % 16.28/16.54 (assume @p134 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 16.28/16.54 (assume @p135 (forall @t6 (=> @t129 (or @t54 @t5)))) % 16.28/16.54 (assume @p136 (forall @t6 (=> (forall @t38 (= @t19 @t49)) @t26))) % 16.28/16.54 (assume @p137 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 16.28/16.54 (assume @p138 (forall @t57 (=> @t34 (=> @t132 (and (tptp.in @t1 @t135) (tptp.in @t2 @t135)))))) % 16.28/16.54 (assume @p139 (forall @t57 (=> @t25 (tptp.subset (tptp.set_difference @t1 @t18) @t108)))) % 16.28/16.54 (assume @p140 (forall @t106 (=> (= @t79 @t20) (and @t109 (= @t2 @t17))))) % 16.28/16.54 (assume @p141 (forall @t6 (tptp.subset @t74 @t1))) % 16.28/16.54 (assume @p142 (forall @t11 (=> @t12 (and (= @t76 (tptp.relation_dom @t80)) (= @t63 (tptp.relation_rng @t80)))))) % 16.28/16.54 (assume @p143 (forall @t57 (= (tptp.subset @t13 @t18) (and @t105 @t136)))) % 16.28/16.54 (assume @p144 (forall @t6 (= @t137 @t15))) % 16.28/16.54 (assume @p145 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 16.28/16.54 (assume @p146 (forall @t6 (= @t107 @t25))) % 16.28/16.54 (assume @p147 (forall @t6 (and (not (and @t139 (forall @t38 (not @t138)))) (not (and (exists @t38 @t138) @t81))))) % 16.28/16.54 (assume @p148 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t46))) % 16.28/16.54 (assume @p149 (forall @t6 (= (tptp.set_difference @t15 @t2) @t74))) % 16.28/16.54 (assume @p150 (forall @t6 (=> @t78 (forall @t38 (=> @t92 (= @t141 (tptp.subset @t2 @t140))))))) % 16.28/16.54 (assume @p151 (forall @t11 (=> @t12 (forall @t43 (=> @t24 (tptp.subset @t142 @t63)))))) % 16.28/16.54 (assume @p152 (forall @t11 (=> @t12 (forall @t43 (=> @t24 (tptp.subset @t124 @t112)))))) % 16.28/16.54 (assume @p153 (forall @t6 (=> @t25 (= @t2 @t137)))) % 16.28/16.54 (assume @p154 (forall @t11 (=> @t12 (forall @t43 (=> @t24 (=> (tptp.subset @t76 @t122) (= @t142 @t63))))))) % 16.28/16.54 (assume @p155 (forall @t6 (=> @t85 (not (and @t143 (= @t83 tptp.empty_set)))))) % 16.28/16.54 (assume @p156 (forall @t11 (=> @t12 (forall @t43 (=> @t24 (=> (tptp.subset @t63 @t112) (= (tptp.relation_rng @t94) @t76))))))) % 16.28/16.54 (assume @p157 (forall @t6 (=> @t85 (=> @t143 (= (tptp.subset_difference @t1 @t73 @t89) (tptp.meet_of_subsets @t1 @t83)))))) % 16.28/16.54 (assume @p158 (forall @t6 (=> @t85 (=> @t143 (= (tptp.union_of_subsets @t1 @t83) (tptp.subset_difference @t1 @t73 @t90)))))) % 16.28/16.54 (assume @p159 (forall @t6 (= (tptp.set_difference @t1 @t74) @t16))) % 16.28/16.54 (assume @p160 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 16.28/16.54 (assume @p161 (forall @t57 (=> (and @t5 @t144) (tptp.element @t1 @t18)))) % 16.28/16.54 (assume @p162 (forall @t6 (and (not (and @t139 (forall @t38 (not @t145)))) (not (and (exists @t38 @t145) @t81))))) % 16.28/16.54 (assume @p163 (forall @t11 (=> @t50 (forall @t43 (=> @t78 (forall @t38 (=> (tptp.element @t18 @t1) (=> @t114 (tptp.in @t18 @t77))))))))) % 16.28/16.54 (assume @p164 (forall @t57 (=> @t92 (not (and (tptp.in @t2 @t140) @t136))))) % 16.28/16.54 (assume @p165 (forall @t11 (=> @t12 (=> (forall @t35 (not @t66)) @t46)))) % 16.28/16.54 (assume @p166 (forall @t57 (not (and @t5 @t144 (tptp.empty @t18))))) % 16.28/16.54 (assume @p167 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 16.28/16.54 (assume @p168 (forall @t6 (not (and @t25 @t7)))) % 16.28/16.54 (assume @p169 (forall @t57 (=> (and @t25 @t141) (tptp.disjoint @t1 @t18)))) % 16.28/16.54 (assume @p170 (forall @t11 (=> @t12 (=> (or @t147 @t146) @t46)))) % 16.28/16.54 (assume @p171 (forall @t11 (=> @t12 (= @t147 @t146)))) % 16.28/16.54 (assume @p172 (forall @t6 (= (= (tptp.set_difference @t1 @t103) @t1) @t4))) % 16.28/16.54 (assume @p173 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t51))) % 16.28/16.54 (assume @p174 (forall @t11 (=> @t10 @t46))) % 16.28/16.54 (assume @p175 (forall @t6 (=> (tptp.subset @t51 @t103) @t26))) % 16.28/16.54 (assume @p176 (forall @t11 (and (= (tptp.relation_dom @t23) @t1) (= (tptp.relation_rng @t23) @t1)))) % 16.28/16.54 (assume @p177 (forall @t106 (=> (tptp.relation @t17) (= (tptp.in @t79 (tptp.relation_composition (tptp.identity_relation @t18) @t17)) (and @t105 (tptp.in @t79 @t17)))))) % 16.28/16.54 (assume @p178 (forall @t6 (not (and @t5 @t54)))) % 16.28/16.54 (assume @p179 (forall @t6 (tptp.subset @t1 @t15))) % 16.28/16.54 (assume @p180 (forall @t6 (= @t81 (= @t74 @t1)))) % 16.28/16.54 (assume @p181 (forall @t57 (=> @t34 (= (tptp.in @t1 (tptp.relation_dom @t119)) (and @t5 @t130))))) % 16.28/16.54 (assume @p182 (forall @t6 (=> @t24 (tptp.subset @t148 @t2)))) % 16.28/16.54 (assume @p183 (forall @t6 (not (and @t10 @t86 @t54)))) % 16.28/16.54 (assume @p184 @t153) % 16.28/16.54 (assume @p185 (forall @t57 (=> (and @t25 @t115) (tptp.subset (tptp.set_union2 @t1 @t18) @t2)))) % 16.28/16.54 (assume @p186 (forall @t57 (=> @t154 @t26))) % 16.28/16.54 (assume @p187 (forall @t6 (=> @t24 (= (tptp.relation_dom @t148) @t123)))) % 16.28/16.54 (assume @p188 (forall @t6 (=> @t24 (= @t148 (tptp.relation_composition @t23 @t2))))) % 16.28/16.54 (assume @p189 (forall @t6 (=> @t24 (tptp.subset (tptp.relation_rng @t148) @t112)))) % 16.28/16.54 (assume @p190 (forall @t11 (= (tptp.union @t52) @t1))) % 16.28/16.54 (assume @p191 (forall @t11 (exists @t43 (and @t5 @t118 (forall @t38 (not (and @t49 (forall @t42 (not (and @t30 (forall @t40 (=> (tptp.subset @t27 @t18) (tptp.in @t27 @t17))))))))) @t116)))) % 16.28/16.54 (assume @p192 (forall @t57 (=> @t154 (= @t2 @t18)))) % 16.28/16.54 (step @p193 :rule aci_norm :args ((= (or (or @t156 @t155) @t149) @t157))) % 16.28/16.54 (step @p194 :rule refl :args (@t149)) % 16.28/16.54 (step @p195 :rule bool-and-de-morgan :args (@t34 @t150 true)) % 16.28/16.54 (step @p196 :rule nary_cong :premises (@p195 @p194) :args ((or (not @t151) @t149))) % 16.28/16.54 (step @p197 :rule trans :premises (@p196 @p193)) % 16.28/16.54 (step @p198 :rule bool-impl-elim :args (@t151 @t149)) % 16.28/16.54 (step @p199 :rule trans :premises (@p198 @p197)) % 16.28/16.54 (step @p200 :rule cong :premises (@p199) :args (@t152)) % 16.28/16.54 (step @p201 :rule cong :premises (@p200) :args (@t153)) % 16.28/16.54 (step @p202 :rule eq_resolve :premises (@p184 @p201)) % 16.28/16.54 (step @p203 :rule skolemize :premises (@p202)) % 16.28/16.54 (step @p204 :rule cnf_or_neg :args (@t172 2)) % 16.28/16.54 (step @p205 :rule chain_m_resolution :premises (@p204 @p203) :args ((not @t167) @t173 @t174)) % 16.28/16.54 (step @p206 :rule cnf_equiv_neg2 :args (@t167)) % 16.28/16.54 (step @p207 :rule bool-double-not-elim :args (@t170)) % 16.28/16.54 (step @p208 :rule refl :args (@t172)) % 16.28/16.54 (step @p209 :rule nary_cong :premises (@p208 @p207) :args ((or @t172 (not @t171)))) % 16.28/16.54 (step @p210 :rule cnf_or_neg :args (@t172 0)) % 16.28/16.54 (step @p211 :rule eq_resolve :premises (@p210 @p209)) % 16.28/16.54 (step @p212 :rule reordering :premises (@p211) :args ((or @t170 @t172))) % 16.28/16.54 (step @p213 :rule chain_m_resolution :premises (@p212 @p203) :args (@t170 @t173 @t174)) % 16.28/16.54 (step @p214 :rule aci_norm :args ((= (or @t156 (or @t175 @t131)) (or @t156 @t175 @t131)))) % 16.28/16.54 (step @p215 :rule bool-impl-elim :args (@t132 @t131)) % 16.28/16.54 (step @p216 :rule refl :args (@t156)) % 16.28/16.54 (step @p217 :rule nary_cong :premises (@p216 @p215) :args ((or @t156 @t133))) % 16.28/16.54 (step @p218 :rule trans :premises (@p217 @p214)) % 16.28/16.54 (step @p219 :rule bool-impl-elim :args (@t34 @t133)) % 16.28/16.54 (step @p220 :rule trans :premises (@p219 @p218)) % 16.28/16.54 (step @p221 :rule cong :premises (@p220) :args (@t134)) % 16.28/16.54 (step @p222 :rule eq_resolve :premises (@p129 @p221)) % 16.28/16.54 (step @p223 :rule instantiate :premises (@p222) :args ((@list @t159 @t161 @t160))) % 16.28/16.54 (step @p224 :rule cnf_or_pos :args (@t178)) % 16.28/16.54 (step @p225 :rule reordering :premises (@p224) :args ((or @t171 @t177 @t176 (not @t178)))) % 16.28/16.54 (step @p226 :rule cnf_and_pos :args (@t176 0)) % 16.28/16.54 (step @p227 :rule reordering :premises (@p226) :args ((or @t164 (not @t176)))) % 16.28/16.54 (step @p228 :rule cnf_and_neg :args (@t165)) % 16.28/16.54 (step @p229 :rule quant-merge-prenex :args ((= (forall @t11 @t191) @t189))) % 16.28/16.54 (step @p230 :rule alpha_equiv :args (@t192 (@list @t180 @t179) @t195)) % 16.28/16.54 (step @p231 :rule quant-unused-vars :args ((= @t196 @t192))) % 16.28/16.54 (step @p232 :rule trans :premises (@p231 @p230)) % 16.28/16.54 (step @p233 :rule alpha_equiv :args (@t197 (@list @t183 @t182) @t200)) % 16.28/16.54 (step @p234 :rule quant-unused-vars :args ((= @t201 @t197))) % 16.28/16.54 (step @p235 :rule trans :premises (@p234 @p233)) % 16.28/16.54 (step @p236 :rule nary_cong :premises (@p235 @p232) :args (@t202)) % 16.28/16.54 (step @p237 :rule quant-miniscope-and :args ((= @t203 @t202))) % 16.28/16.54 (step @p238 :rule trans :premises (@p237 @p236)) % 16.28/16.54 (step @p239 :rule refl :args (@t186)) % 16.28/16.54 (step @p240 :rule refl :args (@t187)) % 16.28/16.54 (step @p241 :rule nary_cong :premises (@p240 @p239 @p238) :args (@t204)) % 16.28/16.54 (step @p242 :rule quant-miniscope-or :args ((= @t191 @t204))) % 16.28/16.54 (step @p243 :rule trans :premises (@p242 @p241)) % 16.28/16.54 (step @p244 :rule symm :premises (@p243)) % 16.28/16.54 (step @p245 :rule cong :premises (@p244) :args ((forall @t11 @t210))) % 16.28/16.54 (step @p246 :rule trans :premises (@p245 @p229)) % 16.28/16.54 (step @p247 :rule aci_norm :args ((= (or (or @t187 @t186) @t209) @t210))) % 16.28/16.54 (step @p248 :rule refl :args (@t209)) % 16.28/16.54 (step @p249 :rule bool-and-de-morgan :args (@t12 @t9 true)) % 16.28/16.54 (step @p250 :rule nary_cong :premises (@p249 @p248) :args ((or (not @t70) @t209))) % 16.28/16.54 (step @p251 :rule trans :premises (@p250 @p247)) % 16.28/16.54 (step @p252 :rule bool-impl-elim :args (@t70 @t209)) % 16.28/16.54 (step @p253 :rule trans :premises (@p252 @p251)) % 16.28/16.54 (step @p254 :rule cong :premises (@p253) :args ((forall @t11 (=> @t70 @t209)))) % 16.28/16.54 (step @p255 :rule trans :premises (@p254 @p246)) % 16.28/16.54 (step @p256 :rule eq-symm :args (@t193 tptp.empty_set)) % 16.28/16.54 (step @p257 :rule refl :args (@t205)) % 16.28/16.54 (step @p258 :rule cong :premises (@p257 @p256) :args (@t211)) % 16.28/16.54 (step @p259 :rule refl :args (@t206)) % 16.28/16.54 (step @p260 :rule nary_cong :premises (@p259 @p258) :args (@t212)) % 16.28/16.54 (step @p261 :rule cong :premises (@p260) :args (@t213)) % 16.28/16.54 (step @p262 :rule refl :args (@t208)) % 16.28/16.54 (step @p263 :rule nary_cong :premises (@p262 @p261) :args ((and @t208 @t213))) % 16.28/16.54 (step @p264 :rule alpha_equiv :args (@t215 @t216 @t195)) % 16.28/16.54 (step @p265 :rule alpha_equiv :args (@t218 @t216 @t200)) % 16.28/16.54 (step @p266 :rule nary_cong :premises (@p265 @p264) :args (@t219)) % 16.28/16.54 (step @p267 :rule quant-miniscope-and :args ((= (forall @t35 (and @t217 @t214)) @t219))) % 16.28/16.54 (step @p268 :rule trans :premises (@p267 @p266)) % 16.28/16.54 (step @p269 :rule trans :premises (@p268 @p263)) % 16.28/16.54 (step @p270 :rule refl :args (@t62)) % 16.28/16.54 (step @p271 :rule bool-double-not-elim :args (@t64)) % 16.28/16.54 (step @p272 :rule nary_cong :premises (@p271 @p270) :args ((or (not @t65) @t62))) % 16.28/16.54 (step @p273 :rule bool-impl-elim :args (@t65 @t62)) % 16.28/16.54 (step @p274 :rule trans :premises (@p273 @p272)) % 16.28/16.54 (step @p275 :rule bool-impl-elim :args (@t64 @t67)) % 16.28/16.54 (step @p276 :rule nary_cong :premises (@p275 @p274) :args (@t68)) % 16.28/16.54 (step @p277 :rule cong :premises (@p276) :args (@t69)) % 16.28/16.54 (step @p278 :rule trans :premises (@p277 @p269)) % 16.28/16.54 (step @p279 :rule refl :args (@t70)) % 16.28/16.54 (step @p280 :rule cong :premises (@p279 @p278) :args (@t71)) % 16.28/16.54 (step @p281 :rule cong :premises (@p280) :args (@t72)) % 16.28/16.54 (step @p282 :rule trans :premises (@p281 @p255)) % 16.28/16.54 (step @p283 :rule eq_resolve :premises (@p27 @p282)) % 16.28/16.54 (step @p284 :rule bool-eq-true :args (@t220)) % 16.28/16.54 (step @p285 :rule eq-symm :args (true @t220)) % 16.28/16.54 (step @p286 :rule trans :premises (@p285 @p284)) % 16.28/16.54 (step @p287 :rule refl :args (@t220)) % 16.28/16.54 (step @p288 :rule eq-refl :args (tptp.empty_set)) % 16.28/16.54 (step @p289 :rule cong :premises (@p288 @p287) :args ((= @t221 @t220))) % 16.28/16.54 (step @p290 :rule trans :premises (@p289 @p286)) % 16.28/16.54 (step @p291 :rule eq-symm :args (@t220 @t221)) % 16.28/16.54 (step @p292 :rule trans :premises (@p291 @p290)) % 16.28/16.54 (step @p293 :rule refl :args (@t222)) % 16.28/16.54 (step @p294 :rule nary_cong :premises (@p293 @p292) :args (@t223)) % 16.28/16.54 (step @p295 :rule eq-symm :args (@t162 @t166)) % 16.28/16.54 (step @p296 :rule refl :args (@t224)) % 16.28/16.54 (step @p297 :rule nary_cong :premises (@p296 @p295) :args (@t225)) % 16.28/16.54 (step @p298 :rule nary_cong :premises (@p297 @p294) :args (@t226)) % 16.28/16.54 (step @p299 :rule refl :args (@t169)) % 16.28/16.54 (step @p300 :rule refl :args (@t171)) % 16.28/16.54 (step @p301 :rule nary_cong :premises (@p300 @p299 @p298) :args (@t227)) % 16.28/16.54 (step @p302 :rule refl :args (@t189)) % 16.28/16.54 (step @p303 :rule cong :premises (@p302 @p301) :args ((=> @t189 @t227))) % 16.28/16.54 (assume-push @p341 @t189) % 16.28/16.54 (step @p305 :rule instantiate :premises (@p283) :args ((@list @t160 @t159 @t161 tptp.empty_set tptp.empty_set))) % 16.28/16.54 (step-pop @p342 :rule scope :premises (@p305)) % 16.28/16.54 (step @p306 :rule process_scope :premises (@p342) :args (@t227)) % 16.28/16.54 (step @p308 :rule eq_resolve :premises (@p306 @p303)) % 16.28/16.54 (step @p309 :rule implies_elim :premises (@p308)) % 16.28/16.54 (step @p310 :rule chain_m_resolution :premises (@p309 @p283) :args (@t231 @t232 (@list @t189))) % 16.28/16.54 (step @p311 :rule bool-double-not-elim :args (@t168)) % 16.28/16.54 (step @p312 :rule nary_cong :premises (@p208 @p311) :args ((or @t172 (not @t169)))) % 16.28/16.54 (step @p313 :rule cnf_or_neg :args (@t172 1)) % 16.28/16.54 (step @p314 :rule eq_resolve :premises (@p313 @p312)) % 16.28/16.54 (step @p315 :rule reordering :premises (@p314) :args ((or @t168 @t172))) % 16.28/16.54 (step @p316 :rule chain_m_resolution :premises (@p315 @p203) :args (@t168 @t173 @t174)) % 16.28/16.54 (step @p317 :rule cnf_or_pos :args (@t231)) % 16.28/16.54 (step @p318 :rule reordering :premises (@p317) :args ((or @t171 @t169 @t230 (not @t231)))) % 16.28/16.54 (step @p319 :rule chain_m_resolution :premises (@p318 @p213 @p316 @p310) :args (@t230 (@list false false false) (@list @t170 @t168 @t231))) % 16.28/16.54 (step @p320 :rule cnf_and_pos :args (@t230 0)) % 16.28/16.54 (step @p321 :rule reordering :premises (@p320) :args ((or @t229 (not @t230)))) % 16.28/16.54 (step @p322 :rule chain_m_resolution :premises (@p321 @p319) :args (@t229 @t232 (@list @t230))) % 16.28/16.54 (step @p323 :rule cnf_or_pos :args (@t229)) % 16.28/16.54 (step @p324 :rule reordering :premises (@p323) :args ((or @t224 @t228 (not @t229)))) % 16.28/16.54 (step @p325 :rule cnf_equiv_pos1 :args (@t228)) % 16.28/16.54 (step @p326 :rule reordering :premises (@p325) :args ((or @t162 @t177 @t233))) % 16.28/16.54 (step @p327 :rule chain_m_resolution :premises (@p326 @p324 @p322 @p228 @p227 @p225 @p223 @p213 @p206 @p205) :args (@t177 (@list false false true false false false false true true) (@list @t228 @t229 @t162 @t164 @t176 @t178 @t170 @t165 @t167))) % 16.28/16.54 (step @p328 :rule cnf_equiv_neg1 :args (@t167)) % 16.28/16.54 (step @p329 :rule reordering :premises (@p328) :args ((or @t166 @t165 @t167))) % 16.28/16.54 (step @p330 :rule chain_m_resolution :premises (@p329 @p327 @p205) :args (@t165 (@list true true) (@list @t166 @t167))) % 16.28/16.54 (step @p331 :rule cnf_and_pos :args (@t165 1)) % 16.28/16.54 (step @p332 :rule reordering :premises (@p331) :args ((or @t162 @t234))) % 16.28/16.54 (step @p333 :rule chain_m_resolution :premises (@p332 @p330) :args (@t162 @t232 @t235)) % 16.28/16.54 (step @p334 :rule cnf_and_pos :args (@t165 0)) % 16.28/16.54 (step @p335 :rule reordering :premises (@p334) :args ((or @t164 @t234))) % 16.28/16.54 (step @p336 :rule chain_m_resolution :premises (@p335 @p330) :args (@t164 @t232 @t235)) % 16.28/16.54 (step @p337 :rule chain_m_resolution :premises (@p324 @p336 @p322) :args (@t228 (@list false false) (@list @t164 @t229))) % 16.28/16.54 (step @p338 :rule cnf_equiv_pos2 :args (@t228)) % 16.28/16.54 (step @p339 :rule reordering :premises (@p338) :args ((or @t166 (not @t162) @t233))) % 16.28/16.54 (step @p340 false :rule chain_m_resolution :premises (@p339 @p337 @p333 @p327) :args (false (@list false false true) (@list @t228 @t162 @t166))) % 16.28/16.54 ) % 16.28/16.54 % SZS output end Proof % 16.28/16.54 % cvc5 exiting %------------------------------------------------------------------------------