%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU226+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 : n017.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 08:51:02 AM UTC 2026 % Result : Theorem 41.43s 41.60s % Output : Proof 41.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU226+2 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n017.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 16:40:46 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.55 %----Proving TF0_NAR, FOF, or CNF % 41.43/41.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 41.43/41.60 --- Run --no-e-matching --full-saturate-quant at 6... % 41.43/41.60 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 41.43/41.60 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 41.43/41.60 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 41.43/41.60 % SZS status Theorem % 41.43/41.60 % SZS output start Proof % 41.43/41.60 ( % 41.43/41.60 (declare-sort $$unsorted 0) % 41.43/41.60 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 41.43/41.60 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 41.43/41.60 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 41.43/41.60 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 41.43/41.60 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.function (-> $$unsorted Bool)) % 41.43/41.60 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.empty (-> $$unsorted Bool)) % 41.43/41.60 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 41.43/41.60 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 41.43/41.60 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 41.43/41.60 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 41.43/41.60 (declare-const tptp.empty_set $$unsorted) % 41.43/41.60 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.relation (-> $$unsorted Bool)) % 41.43/41.60 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 41.43/41.60 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 41.43/41.60 (define @t1 () (@var "A" $$unsorted)) % 41.43/41.60 (define @t2 () (@var "B" $$unsorted)) % 41.43/41.60 (define @t3 () (tptp.in @t2 @t1)) % 41.43/41.60 (define @t4 () (not @t3)) % 41.43/41.60 (define @t5 () (tptp.in @t1 @t2)) % 41.43/41.60 (define @t6 () (@list @t1 @t2)) % 41.43/41.60 (define @t7 () (tptp.proper_subset @t2 @t1)) % 41.43/41.60 (define @t8 () (tptp.proper_subset @t1 @t2)) % 41.43/41.60 (define @t9 () (tptp.function @t1)) % 41.43/41.60 (define @t10 () (tptp.empty @t1)) % 41.43/41.60 (define @t11 () (@list @t1)) % 41.43/41.60 (define @t12 () (tptp.relation @t1)) % 41.43/41.60 (define @t13 () (tptp.one_to_one @t1)) % 41.43/41.60 (define @t14 () (and @t12 @t9 @t13)) % 41.43/41.60 (define @t15 () (and @t12 @t10 @t9)) % 41.43/41.60 (define @t16 () (tptp.unordered_pair @t1 @t2)) % 41.43/41.60 (define @t17 () (tptp.set_union2 @t2 @t1)) % 41.43/41.60 (define @t18 () (tptp.set_union2 @t1 @t2)) % 41.43/41.60 (define @t19 () (tptp.set_intersection2 @t1 @t2)) % 41.43/41.60 (define @t20 () (@var "D" $$unsorted)) % 41.43/41.60 (define @t21 () (@var "C" $$unsorted)) % 41.43/41.60 (define @t22 () (tptp.in @t21 @t1)) % 41.43/41.60 (define @t23 () (tptp.ordered_pair @t21 @t20)) % 41.43/41.60 (define @t24 () (tptp.in @t23 @t2)) % 41.43/41.60 (define @t25 () (@list @t21 @t20)) % 41.43/41.60 (define @t26 () (tptp.identity_relation @t1)) % 41.43/41.60 (define @t27 () (= @t2 @t26)) % 41.43/41.60 (define @t28 () (tptp.relation @t2)) % 41.43/41.60 (define @t29 () (tptp.subset @t1 @t2)) % 41.43/41.60 (define @t30 () (= @t1 @t2)) % 41.43/41.60 (define @t31 () (@var "E" $$unsorted)) % 41.43/41.60 (define @t32 () (tptp.ordered_pair @t20 @t31)) % 41.43/41.60 (define @t33 () (tptp.in @t32 @t1)) % 41.43/41.60 (define @t34 () (tptp.in @t20 @t2)) % 41.43/41.60 (define @t35 () (tptp.in @t32 @t21)) % 41.43/41.60 (define @t36 () (@list @t20 @t31)) % 41.43/41.60 (define @t37 () (tptp.relation_dom_restriction @t1 @t2)) % 41.43/41.60 (define @t38 () (tptp.relation @t21)) % 41.43/41.60 (define @t39 () (@list @t2 @t21)) % 41.43/41.60 (define @t40 () (tptp.in @t31 @t2)) % 41.43/41.60 (define @t41 () (tptp.relation_dom @t1)) % 41.43/41.60 (define @t42 () (@list @t31)) % 41.43/41.60 (define @t43 () (tptp.in @t20 @t21)) % 41.43/41.60 (define @t44 () (@list @t20)) % 41.43/41.60 (define @t45 () (= @t21 (tptp.relation_image @t1 @t2))) % 41.43/41.60 (define @t46 () (and @t12 @t9)) % 41.43/41.60 (define @t47 () (tptp.in @t31 @t1)) % 41.43/41.60 (define @t48 () (tptp.relation_rng_restriction @t1 @t2)) % 41.43/41.60 (define @t49 () (@list @t21)) % 41.43/41.60 (define @t50 () (tptp.apply @t1 @t20)) % 41.43/41.60 (define @t51 () (tptp.in @t20 @t41)) % 41.43/41.60 (define @t52 () (= @t21 (tptp.relation_inverse_image @t1 @t2))) % 41.43/41.60 (define @t53 () (@list @t2)) % 41.43/41.60 (define @t54 () (= @t2 tptp.empty_set)) % 41.43/41.60 (define @t55 () (= @t2 (tptp.set_meet @t1))) % 41.43/41.60 (define @t56 () (= @t1 tptp.empty_set)) % 41.43/41.60 (define @t57 () (tptp.in @t21 @t20)) % 41.43/41.60 (define @t58 () (tptp.in @t20 @t1)) % 41.43/41.60 (define @t59 () (tptp.in @t21 @t2)) % 41.43/41.60 (define @t60 () (not @t56)) % 41.43/41.60 (define @t61 () (tptp.singleton @t1)) % 41.43/41.60 (define @t62 () (tptp.powerset @t1)) % 41.43/41.60 (define @t63 () (tptp.in @t23 @t1)) % 41.43/41.60 (define @t64 () (tptp.empty @t2)) % 41.43/41.60 (define @t65 () (tptp.element @t2 @t1)) % 41.43/41.60 (define @t66 () (not @t10)) % 41.43/41.60 (define @t67 () (@list @t1 @t2 @t21)) % 41.43/41.60 (define @t68 () (@var "F" $$unsorted)) % 41.43/41.60 (define @t69 () (tptp.cartesian_product2 @t1 @t2)) % 41.43/41.60 (define @t70 () (forall @t49 (=> @t22 @t59))) % 41.43/41.60 (define @t71 () (= @t29 @t70)) % 41.43/41.60 (define @t72 () (forall @t6 @t71)) % 41.43/41.60 (define @t73 () (tptp.apply @t1 @t2)) % 41.43/41.60 (define @t74 () (= @t21 @t73)) % 41.43/41.60 (define @t75 () (tptp.in @t2 @t41)) % 41.43/41.60 (define @t76 () (tptp.in (tptp.ordered_pair @t2 @t21) @t1)) % 41.43/41.60 (define @t77 () (tptp.cast_to_subset @t1)) % 41.43/41.60 (define @t78 () (not @t34)) % 41.43/41.60 (define @t79 () (tptp.set_difference @t1 @t2)) % 41.43/41.60 (define @t80 () (tptp.in (tptp.ordered_pair @t20 @t21) @t1)) % 41.43/41.60 (define @t81 () (tptp.relation_rng @t1)) % 41.43/41.60 (define @t82 () (tptp.subset_complement @t1 @t2)) % 41.43/41.60 (define @t83 () (tptp.element @t2 @t62)) % 41.43/41.60 (define @t84 () (tptp.ordered_pair @t1 @t2)) % 41.43/41.60 (define @t85 () (tptp.relation_inverse @t1)) % 41.43/41.60 (define @t86 () (tptp.disjoint @t1 @t2)) % 41.43/41.60 (define @t87 () (= @t2 @t21)) % 41.43/41.60 (define @t88 () (tptp.relation_composition @t1 @t2)) % 41.43/41.60 (define @t89 () (tptp.complements_of_subsets @t1 @t2)) % 41.43/41.60 (define @t90 () (tptp.powerset @t62)) % 41.43/41.60 (define @t91 () (tptp.element @t2 @t90)) % 41.43/41.60 (define @t92 () (not @t30)) % 41.43/41.60 (define @t93 () (tptp.function_inverse @t1)) % 41.43/41.60 (define @t94 () (tptp.relation @t85)) % 41.43/41.60 (define @t95 () (tptp.relation @t88)) % 41.43/41.60 (define @t96 () (and @t12 @t28)) % 41.43/41.60 (define @t97 () (tptp.union_of_subsets @t1 @t2)) % 41.43/41.60 (define @t98 () (tptp.relation @t26)) % 41.43/41.60 (define @t99 () (tptp.meet_of_subsets @t1 @t2)) % 41.43/41.60 (define @t100 () (tptp.subset_difference @t1 @t2 @t21)) % 41.43/41.60 (define @t101 () (tptp.element @t21 @t62)) % 41.43/41.60 (define @t102 () (and @t83 @t101)) % 41.43/41.60 (define @t103 () (tptp.relation @t37)) % 41.43/41.60 (define @t104 () (tptp.relation_composition @t2 @t1)) % 41.43/41.60 (define @t105 () (and @t10 @t28)) % 41.43/41.60 (define @t106 () (tptp.relation tptp.empty_set)) % 41.43/41.60 (define @t107 () (tptp.empty tptp.empty_set)) % 41.43/41.60 (define @t108 () (and @t12 (tptp.relation_empty_yielding @t1))) % 41.43/41.60 (define @t109 () (tptp.function @t2)) % 41.43/41.60 (define @t110 () (not @t64)) % 41.43/41.60 (define @t111 () (tptp.empty @t41)) % 41.43/41.60 (define @t112 () (and @t66 @t12)) % 41.43/41.60 (define @t113 () (tptp.empty @t81)) % 41.43/41.60 (define @t114 () (tptp.disjoint @t61 @t2)) % 41.43/41.60 (define @t115 () (tptp.singleton @t2)) % 41.43/41.60 (define @t116 () (tptp.union @t2)) % 41.43/41.60 (define @t117 () (tptp.in @t1 @t21)) % 41.43/41.60 (define @t118 () (@list @t1 @t2 @t21 @t20)) % 41.43/41.60 (define @t119 () (tptp.element @t1 (tptp.powerset @t2))) % 41.43/41.60 (define @t120 () (tptp.relation_dom @t21)) % 41.43/41.60 (define @t121 () (tptp.relation_dom_restriction @t21 @t1)) % 41.43/41.60 (define @t122 () (tptp.in @t2 (tptp.relation_dom @t121))) % 41.43/41.60 (define @t123 () (tptp.function @t21)) % 41.43/41.60 (define @t124 () (and @t38 @t123)) % 41.43/41.60 (define @t125 () (tptp.set_difference @t2 @t21)) % 41.43/41.60 (define @t126 () (= @t1 @t21)) % 41.43/41.60 (define @t127 () (tptp.relation_rng @t21)) % 41.43/41.60 (define @t128 () (tptp.relation_rng @t48)) % 41.43/41.60 (define @t129 () (tptp.relation_rng @t2)) % 41.43/41.60 (define @t130 () (tptp.cartesian_product2 @t1 @t21)) % 41.43/41.60 (define @t131 () (not @t59)) % 41.43/41.60 (define @t132 () (tptp.subset @t21 @t2)) % 41.43/41.60 (define @t133 () (forall @t49 (not (and @t132 (not (tptp.are_equipotent @t21 @t2)) @t131)))) % 41.43/41.60 (define @t134 () (tptp.powerset @t21)) % 41.43/41.60 (define @t135 () (forall @t25 (=> (and @t59 (tptp.subset @t20 @t21)) @t34))) % 41.43/41.60 (define @t136 () (tptp.relation_dom_restriction @t21 @t2)) % 41.43/41.60 (define @t137 () (tptp.in (tptp.ordered_pair @t20 @t1) @t21)) % 41.43/41.60 (define @t138 () (tptp.in @t20 @t120)) % 41.43/41.60 (define @t139 () (and @t138 @t137 @t34)) % 41.43/41.60 (define @t140 () (exists @t44 @t139)) % 41.43/41.60 (define @t141 () (tptp.in @t1 (tptp.relation_image @t21 @t2))) % 41.43/41.60 (define @t142 () (= @t141 @t140)) % 41.43/41.60 (define @t143 () (=> @t38 @t142)) % 41.43/41.60 (define @t144 () (forall @t67 @t143)) % 41.43/41.60 (define @t145 () (tptp.relation_image @t2 @t1)) % 41.43/41.60 (define @t146 () (tptp.relation_inverse_image @t2 @t1)) % 41.43/41.60 (define @t147 () (tptp.subset (tptp.relation_image @t2 @t146) @t1)) % 41.43/41.60 (define @t148 () (and @t28 @t109)) % 41.43/41.60 (define @t149 () (forall @t6 (=> @t148 @t147))) % 41.43/41.60 (define @t150 () (not @t149)) % 41.43/41.60 (define @t151 () (tptp.relation_dom @t2)) % 41.43/41.60 (define @t152 () (tptp.set_intersection2 @t151 @t1)) % 41.43/41.60 (define @t153 () (tptp.relation_rng @t88)) % 41.43/41.60 (define @t154 () (tptp.in (tptp.ordered_pair @t1 @t20) @t21)) % 41.43/41.60 (define @t155 () (tptp.in @t20 @t127)) % 41.43/41.60 (define @t156 () (and @t155 @t154 @t34)) % 41.43/41.60 (define @t157 () (exists @t44 @t156)) % 41.43/41.60 (define @t158 () (tptp.relation_inverse_image @t21 @t2)) % 41.43/41.60 (define @t159 () (tptp.in @t1 @t158)) % 41.43/41.60 (define @t160 () (= @t159 @t157)) % 41.43/41.60 (define @t161 () (=> @t38 @t160)) % 41.43/41.60 (define @t162 () (forall @t67 @t161)) % 41.43/41.60 (define @t163 () (tptp.set_intersection2 @t2 @t21)) % 41.43/41.60 (define @t164 () (tptp.subset @t1 @t21)) % 41.43/41.60 (define @t165 () (tptp.element @t1 @t2)) % 41.43/41.60 (define @t166 () (tptp.in @t1 @t120)) % 41.43/41.60 (define @t167 () (tptp.in @t84 @t21)) % 41.43/41.60 (define @t168 () (tptp.apply @t21 @t1)) % 41.43/41.60 (define @t169 () (tptp.relation_composition @t21 @t2)) % 41.43/41.60 (define @t170 () (tptp.in @t1 (tptp.relation_dom @t169))) % 41.43/41.60 (define @t171 () (tptp.relation_field @t21)) % 41.43/41.60 (define @t172 () (tptp.apply @t2 @t21)) % 41.43/41.60 (define @t173 () (tptp.in @t2 @t21)) % 41.43/41.60 (define @t174 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 41.43/41.60 (define @t175 () (and @t22 @t59)) % 41.43/41.60 (define @t176 () (not @t86)) % 41.43/41.60 (define @t177 () (tptp.subset_complement @t1 @t21)) % 41.43/41.60 (define @t178 () (tptp.disjoint @t2 @t21)) % 41.43/41.60 (define @t179 () (tptp.relation_dom @t88)) % 41.43/41.60 (define @t180 () (not @t54)) % 41.43/41.60 (define @t181 () (tptp.element @t2 @t134)) % 41.43/41.60 (define @t182 () (tptp.in @t21 @t19)) % 41.43/41.60 (define @t183 () (and (tptp.in @t21 @t81) (= @t20 @t172))) % 41.43/41.60 (define @t184 () (and @t51 (= @t21 @t50))) % 41.43/41.60 (define @t185 () (tptp.function_inverse @t2)) % 41.43/41.60 (define @t186 () (= @t81 tptp.empty_set)) % 41.43/41.60 (define @t187 () (= @t41 tptp.empty_set)) % 41.43/41.60 (define @t188 () (= (tptp.apply @t121 @t2) (tptp.apply @t21 @t2))) % 41.43/41.60 (define @t189 () (tptp.relation_dom_restriction @t2 @t1)) % 41.43/41.60 (define @t190 () (= @t167 (and @t166 (= @t2 @t168)))) % 41.43/41.60 (define @t191 () (forall @t67 (=> @t124 @t190))) % 41.43/41.60 (define @t192 () (= @t61 (tptp.unordered_pair @t2 @t21))) % 41.43/41.60 (define @t193 () (not @t109)) % 41.43/41.60 (define @t194 () (not @t28)) % 41.43/41.60 (define @t195 () (or @t194 @t193 @t147)) % 41.43/41.60 (define @t196 () (forall @t6 @t195)) % 41.43/41.60 (define @t197 () (@quantifiers_skolemize @t196 0)) % 41.43/41.60 (define @t198 () (@quantifiers_skolemize @t196 1)) % 41.43/41.60 (define @t199 () (tptp.relation_inverse_image @t198 @t197)) % 41.43/41.60 (define @t200 () (tptp.relation_image @t198 @t199)) % 41.43/41.60 (define @t201 () (tptp.subset @t200 @t197)) % 41.43/41.60 (define @t202 () (tptp.function @t198)) % 41.43/41.60 (define @t203 () (not @t202)) % 41.43/41.60 (define @t204 () (tptp.relation @t198)) % 41.43/41.60 (define @t205 () (not @t204)) % 41.43/41.60 (define @t206 () (or @t205 @t203 @t201)) % 41.43/41.60 (define @t207 () (@list true)) % 41.43/41.60 (define @t208 () (@list @t206)) % 41.43/41.60 (define @t209 () (forall @t49 (or (not (tptp.in @t21 @t200)) (tptp.in @t21 @t197)))) % 41.43/41.60 (define @t210 () (= @t201 @t209)) % 41.43/41.60 (define @t211 () (not @t209)) % 41.43/41.60 (define @t212 () (@quantifiers_skolemize @t209 0)) % 41.43/41.60 (define @t213 () (tptp.in @t212 @t197)) % 41.43/41.60 (define @t214 () (tptp.in @t212 @t200)) % 41.43/41.60 (define @t215 () (not @t214)) % 41.43/41.60 (define @t216 () (or @t215 @t213)) % 41.43/41.60 (define @t217 () (@list @t216)) % 41.43/41.60 (define @t218 () (not @t123)) % 41.43/41.60 (define @t219 () (not @t38)) % 41.43/41.61 (define @t220 () (or @t219 @t218 @t190)) % 41.43/41.61 (define @t221 () (tptp.relation_dom @t198)) % 41.43/41.61 (define @t222 () (forall @t44 (or (not (tptp.in @t20 @t221)) (not (tptp.in (tptp.ordered_pair @t20 @t212) @t198)) (not (tptp.in @t20 @t199))))) % 41.43/41.61 (define @t223 () (@quantifiers_skolemize @t222 0)) % 41.43/41.61 (define @t224 () (tptp.apply @t198 @t223)) % 41.43/41.61 (define @t225 () (= @t212 @t224)) % 41.43/41.61 (define @t226 () (tptp.in @t223 @t221)) % 41.43/41.61 (define @t227 () (and @t226 @t225)) % 41.43/41.61 (define @t228 () (tptp.in (tptp.ordered_pair @t223 @t212) @t198)) % 41.43/41.61 (define @t229 () (= @t228 @t227)) % 41.43/41.61 (define @t230 () (or @t205 @t203 @t229)) % 41.43/41.61 (define @t231 () (@list false false false)) % 41.43/41.61 (define @t232 () (not @t137)) % 41.43/41.61 (define @t233 () (not @t138)) % 41.43/41.61 (define @t234 () (or @t233 @t232 @t78)) % 41.43/41.61 (define @t235 () (= @t141 (not (forall @t44 @t234)))) % 41.43/41.61 (define @t236 () (forall @t44 (not @t139))) % 41.43/41.61 (define @t237 () (not @t236)) % 41.43/41.61 (define @t238 () (not @t222)) % 41.43/41.61 (define @t239 () (= @t214 @t238)) % 41.43/41.61 (define @t240 () (or @t205 @t239)) % 41.43/41.61 (define @t241 () (@list false false)) % 41.43/41.61 (define @t242 () (tptp.in @t223 @t199)) % 41.43/41.61 (define @t243 () (not @t242)) % 41.43/41.61 (define @t244 () (not @t228)) % 41.43/41.61 (define @t245 () (or (not @t226) @t244 @t243)) % 41.43/41.61 (define @t246 () (@list @t245)) % 41.43/41.61 (define @t247 () (@list false)) % 41.43/41.61 (define @t248 () (tptp.relation_rng @t198)) % 41.43/41.61 (define @t249 () (forall @t44 (or (not (tptp.in @t20 @t248)) (not (tptp.in (tptp.ordered_pair @t223 @t20) @t198)) (not (tptp.in @t20 @t197))))) % 41.43/41.61 (define @t250 () (@quantifiers_skolemize @t249 0)) % 41.43/41.61 (define @t251 () (and @t226 (= @t250 @t224))) % 41.43/41.61 (define @t252 () (tptp.in (tptp.ordered_pair @t223 @t250) @t198)) % 41.43/41.61 (define @t253 () (= @t252 @t251)) % 41.43/41.61 (define @t254 () (or @t205 @t203 @t253)) % 41.43/41.61 (define @t255 () (forall @t67 @t220)) % 41.43/41.61 (define @t256 () (= @t224 @t250)) % 41.43/41.61 (define @t257 () (and @t226 @t256)) % 41.43/41.61 (define @t258 () (= @t252 @t257)) % 41.43/41.61 (define @t259 () (or @t205 @t203 @t258)) % 41.43/41.61 (define @t260 () (not @t154)) % 41.43/41.61 (define @t261 () (not @t155)) % 41.43/41.61 (define @t262 () (or @t261 @t260 @t78)) % 41.43/41.61 (define @t263 () (= @t159 (not (forall @t44 @t262)))) % 41.43/41.61 (define @t264 () (forall @t44 (not @t156))) % 41.43/41.61 (define @t265 () (not @t264)) % 41.43/41.61 (define @t266 () (not @t249)) % 41.43/41.61 (define @t267 () (= @t242 @t266)) % 41.43/41.61 (define @t268 () (or @t205 @t267)) % 41.43/41.61 (define @t269 () (tptp.in @t250 @t197)) % 41.43/41.61 (define @t270 () (not @t269)) % 41.43/41.61 (define @t271 () (not @t252)) % 41.43/41.61 (define @t272 () (or (not (tptp.in @t250 @t248)) @t271 @t270)) % 41.43/41.61 (define @t273 () (@list @t272)) % 41.43/41.61 (assume @p1 (forall @t6 (=> @t5 @t4))) % 41.43/41.61 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 41.43/41.61 (assume @p3 (forall @t11 (=> @t10 @t9))) % 41.43/41.61 (assume @p4 (forall @t11 (=> @t10 @t12))) % 41.43/41.61 (assume @p5 (forall @t11 (=> @t15 @t14))) % 41.43/41.61 (assume @p6 (forall @t6 (= @t16 (tptp.unordered_pair @t2 @t1)))) % 41.43/41.61 (assume @p7 (forall @t6 (= @t18 @t17))) % 41.43/41.61 (assume @p8 (forall @t6 (= @t19 (tptp.set_intersection2 @t2 @t1)))) % 41.43/41.61 (assume @p9 (forall @t6 (=> @t28 (= @t27 (forall @t25 (= @t24 (and @t22 (= @t21 @t20)))))))) % 41.43/41.61 (assume @p10 (forall @t6 (= @t30 (and @t29 (tptp.subset @t2 @t1))))) % 41.43/41.61 (assume @p11 (forall @t11 (=> @t12 (forall @t39 (=> @t38 (= (= @t21 @t37) (forall @t36 (= @t35 (and @t34 @t33))))))))) % 41.43/41.61 (assume @p12 (forall @t11 (=> @t46 (forall @t39 (= @t45 (forall @t44 (= @t43 (exists @t42 (and (tptp.in @t31 @t41) @t40 (= @t20 (tptp.apply @t1 @t31))))))))))) % 41.43/41.61 (assume @p13 (forall @t6 (=> @t28 (forall @t49 (=> @t38 (= (= @t21 @t48) (forall @t36 (= @t35 (and @t47 (tptp.in @t32 @t2)))))))))) % 41.43/41.61 (assume @p14 (forall @t11 (=> @t46 (forall @t39 (= @t52 (forall @t44 (= @t43 (and @t51 (tptp.in @t50 @t2))))))))) % 41.43/41.61 (assume @p15 (forall @t11 (=> @t12 (forall @t39 (= @t45 (forall @t44 (= @t43 (exists @t42 (and (tptp.in (tptp.ordered_pair @t31 @t20) @t1) @t40))))))))) % 41.43/41.61 (assume @p16 (forall @t11 (=> @t12 (forall @t39 (= @t52 (forall @t44 (= @t43 (exists @t42 (and @t33 @t40))))))))) % 41.43/41.61 (assume @p17 (forall @t11 (= @t12 (forall @t53 (not (and @t3 (forall @t25 (not (= @t2 @t23))))))))) % 41.43/41.61 (assume @p18 (forall @t6 (and (=> @t60 (= @t55 (forall @t49 (= @t59 (forall @t44 (=> @t58 @t57)))))) (=> @t56 (= @t55 @t54))))) % 41.43/41.61 (assume @p19 (forall @t6 (= (= @t2 @t61) (forall @t49 (= @t59 (= @t21 @t1)))))) % 41.43/41.61 (assume @p20 (forall @t11 (= @t56 (forall @t53 @t4)))) % 41.43/41.61 (assume @p21 (forall @t6 (= (= @t2 @t62) (forall @t49 (= @t59 (tptp.subset @t21 @t1)))))) % 41.43/41.61 (assume @p22 (forall @t11 (=> @t12 (forall @t53 (=> @t28 (= @t30 (forall @t25 (= @t63 @t24)))))))) % 41.43/41.61 (assume @p23 (forall @t6 (and (=> @t66 (= @t65 @t3)) (=> @t10 (= @t65 @t64))))) % 41.43/41.61 (assume @p24 (forall @t67 (= (= @t21 @t16) (forall @t44 (= @t43 (or (= @t20 @t1) (= @t20 @t2))))))) % 41.43/41.61 (assume @p25 (forall @t67 (= (= @t21 @t18) (forall @t44 (= @t43 (or @t58 @t34)))))) % 41.43/41.61 (assume @p26 (forall @t67 (= (= @t21 @t69) (forall @t44 (= @t43 (exists (@list @t31 @t68) (and @t47 (tptp.in @t68 @t2) (= @t20 (tptp.ordered_pair @t31 @t68))))))))) % 41.43/41.61 (assume @p27 (forall @t11 (=> @t12 (forall @t53 (=> @t28 (= @t29 (forall @t25 (=> @t63 @t24)))))))) % 41.43/41.61 (assume @p28 @t72) % 41.43/41.61 (assume @p29 (forall @t67 (= (= @t21 @t19) (forall @t44 (= @t43 (and @t58 @t34)))))) % 41.43/41.61 (assume @p30 (forall @t11 (=> @t46 (forall @t39 (and (=> @t75 (= @t74 @t76)) (=> (not @t75) (= @t74 (= @t21 tptp.empty_set)))))))) % 41.43/41.61 (assume @p31 (forall @t11 (=> @t12 (forall @t53 (= (= @t2 @t41) (forall @t49 (= @t59 (exists @t44 @t63)))))))) % 41.43/41.61 (assume @p32 (forall @t11 (= @t77 @t1))) % 41.43/41.61 (assume @p33 (forall @t6 (= (= @t2 (tptp.union @t1)) (forall @t49 (= @t59 (exists @t44 (and @t57 @t58))))))) % 41.43/41.61 (assume @p34 (forall @t67 (= (= @t21 @t79) (forall @t44 (= @t43 (and @t58 @t78)))))) % 41.43/41.61 (assume @p35 (forall @t11 (=> @t12 (forall @t53 (= (= @t2 @t81) (forall @t49 (= @t59 (exists @t44 @t80)))))))) % 41.43/41.61 (assume @p36 (forall @t6 (=> @t83 (= @t82 @t79)))) % 41.43/41.61 (assume @p37 (forall @t6 (= @t84 (tptp.unordered_pair @t16 @t61)))) % 41.43/41.61 (assume @p38 (forall @t11 (=> @t12 (= (tptp.relation_field @t1) (tptp.set_union2 @t41 @t81))))) % 41.43/41.61 (assume @p39 (forall @t11 (=> @t12 (forall @t53 (=> @t28 (= (= @t2 @t85) (forall @t25 (= @t24 @t80)))))))) % 41.43/41.61 (assume @p40 (forall @t6 (= @t86 (= @t19 tptp.empty_set)))) % 41.43/41.61 (assume @p41 (forall @t11 (=> @t46 (= @t13 (forall @t39 (=> (and @t75 (tptp.in @t21 @t41) (= @t73 (tptp.apply @t1 @t21))) @t87)))))) % 41.43/41.61 (assume @p42 (forall @t11 (=> @t12 (forall @t53 (=> @t28 (forall @t49 (=> @t38 (= (= @t21 @t88) (forall @t36 (= @t35 (exists (@list @t68) (and (tptp.in (tptp.ordered_pair @t20 @t68) @t1) (tptp.in (tptp.ordered_pair @t68 @t31) @t2))))))))))))) % 41.43/41.61 (assume @p43 (forall @t6 (=> @t91 (forall @t49 (=> (tptp.element @t21 @t90) (= (= @t21 @t89) (forall @t44 (=> (tptp.element @t20 @t62) (= @t43 (tptp.in (tptp.subset_complement @t1 @t20) @t2)))))))))) % 41.43/41.61 (assume @p44 (forall @t6 (= @t8 (and @t29 @t92)))) % 41.43/41.61 (assume @p45 (forall @t11 (=> @t46 (=> @t13 (= @t93 @t85))))) % 41.43/41.61 (assume @p46 true) % 41.43/41.61 (assume @p47 (forall @t11 (=> @t46 (and (tptp.relation @t93) (tptp.function @t93))))) % 41.43/41.61 (assume @p48 (forall @t11 (tptp.element @t77 @t62))) % 41.43/41.61 (assume @p49 (forall @t6 (=> @t83 (tptp.element @t82 @t62)))) % 41.43/41.61 (assume @p50 (forall @t11 (=> @t12 @t94))) % 41.43/41.61 (assume @p51 (forall @t6 (=> @t96 @t95))) % 41.43/41.61 (assume @p52 (forall @t6 (=> @t91 (tptp.element @t97 @t62)))) % 41.43/41.61 (assume @p53 (forall @t11 @t98)) % 41.43/41.61 (assume @p54 (forall @t6 (=> @t91 (tptp.element @t99 @t62)))) % 41.43/41.61 (assume @p55 (forall @t67 (=> @t102 (tptp.element @t100 @t62)))) % 41.43/41.61 (assume @p56 (forall @t6 (=> @t12 @t103))) % 41.43/41.61 (assume @p57 (forall @t6 (=> @t91 (tptp.element @t89 @t90)))) % 41.43/41.61 (assume @p58 (forall @t6 (=> @t28 (tptp.relation @t48)))) % 41.43/41.61 (assume @p59 (forall @t11 (exists @t53 @t65))) % 41.43/41.61 (assume @p60 (forall @t6 (=> @t105 (and (tptp.empty @t104) (tptp.relation @t104))))) % 41.43/41.61 (assume @p61 (forall @t11 (=> @t10 (and (tptp.empty @t85) @t94)))) % 41.43/41.61 (assume @p62 (and @t107 @t106 (tptp.relation_empty_yielding tptp.empty_set))) % 41.43/41.61 (assume @p63 (forall @t6 (=> @t108 (and @t103 (tptp.relation_empty_yielding @t37))))) % 41.43/41.61 (assume @p64 (forall @t6 (=> (and @t12 @t9 @t28 @t109) (and @t95 (tptp.function @t88))))) % 41.43/41.61 (assume @p65 (forall @t6 (=> @t96 (tptp.relation @t19)))) % 41.43/41.61 (assume @p66 (forall @t11 (not (tptp.empty @t62)))) % 41.43/41.61 (assume @p67 @t107) % 41.43/41.61 (assume @p68 (forall @t6 (not (tptp.empty @t84)))) % 41.43/41.61 (assume @p69 (forall @t11 (and @t98 (tptp.function @t26)))) % 41.43/41.61 (assume @p70 (forall @t6 (=> @t96 (tptp.relation @t18)))) % 41.43/41.61 (assume @p71 (forall @t11 (not (tptp.empty @t61)))) % 41.43/41.61 (assume @p72 (forall @t6 (=> @t66 (not (tptp.empty @t18))))) % 41.43/41.61 (assume @p73 (forall @t11 (=> @t14 (and @t94 (tptp.function @t85))))) % 41.43/41.61 (assume @p74 (forall @t6 (not (tptp.empty @t16)))) % 41.43/41.61 (assume @p75 (forall @t6 (=> @t66 (not (tptp.empty @t17))))) % 41.43/41.61 (assume @p76 (forall @t6 (=> @t46 (and @t103 (tptp.function @t37))))) % 41.43/41.61 (assume @p77 (and @t107 @t106)) % 41.43/41.61 (assume @p78 (forall @t6 (=> (and @t66 @t110) (not (tptp.empty @t69))))) % 41.43/41.61 (assume @p79 (forall @t11 (=> @t112 (not @t111)))) % 41.43/41.61 (assume @p80 (forall @t11 (=> @t112 (not @t113)))) % 41.43/41.61 (assume @p81 (forall @t11 (=> @t10 (and @t111 (tptp.relation @t41))))) % 41.43/41.61 (assume @p82 (forall @t11 (=> @t10 (and @t113 (tptp.relation @t81))))) % 41.43/41.61 (assume @p83 (forall @t6 (=> @t105 (and (tptp.empty @t88) @t95)))) % 41.43/41.61 (assume @p84 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 41.43/41.61 (assume @p85 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 41.43/41.61 (assume @p86 (forall @t6 (=> @t83 (= (tptp.subset_complement @t1 @t82) @t2)))) % 41.43/41.61 (assume @p87 (forall @t11 (=> @t12 (= (tptp.relation_inverse @t85) @t1)))) % 41.43/41.61 (assume @p88 (forall @t6 (=> @t91 (= (tptp.complements_of_subsets @t1 @t89) @t2)))) % 41.43/41.61 (assume @p89 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 41.43/41.61 (assume @p90 (forall @t11 (not (= @t61 tptp.empty_set)))) % 41.43/41.61 (assume @p91 (forall @t6 (=> @t5 (= (tptp.set_union2 @t61 @t2) @t2)))) % 41.43/41.61 (assume @p92 (forall @t6 (not (and @t114 @t5)))) % 41.43/41.61 (assume @p93 (forall @t6 (=> (not @t5) @t114))) % 41.43/41.61 (assume @p94 (forall @t6 (= (tptp.subset @t61 @t2) @t5))) % 41.43/41.61 (assume @p95 (forall @t6 (= (= @t79 tptp.empty_set) @t29))) % 41.43/41.61 (assume @p96 (forall @t6 (=> @t83 (forall @t49 (=> @t59 @t22))))) % 41.43/41.61 (assume @p97 (forall @t67 (=> @t29 (or @t22 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t21))))))) % 41.43/41.61 (assume @p98 (forall @t6 (= (tptp.subset @t1 @t115) (or @t56 (= @t1 @t115))))) % 41.43/41.61 (assume @p99 (forall @t6 (=> @t5 (tptp.subset @t1 @t116)))) % 41.43/41.61 (assume @p100 (forall @t118 (= (tptp.in @t84 (tptp.cartesian_product2 @t21 @t20)) (and @t117 (tptp.in @t2 @t20))))) % 41.43/41.61 (assume @p101 (forall @t6 (=> @t70 @t119))) % 41.43/41.61 (assume @p102 (forall @t67 (=> @t124 (= @t122 (and (tptp.in @t2 @t120) @t3))))) % 41.43/41.61 (assume @p103 (exists @t11 @t46)) % 41.43/41.61 (assume @p104 (exists @t11 (and @t10 @t12))) % 41.43/41.61 (assume @p105 (forall @t11 (=> @t66 (exists @t53 (and @t83 @t110))))) % 41.43/41.61 (assume @p106 (exists @t11 @t10)) % 41.43/41.61 (assume @p107 (exists @t11 @t15)) % 41.43/41.61 (assume @p108 (exists @t11 @t112)) % 41.43/41.61 (assume @p109 (forall @t11 (exists @t53 (and @t83 @t64)))) % 41.43/41.61 (assume @p110 (exists @t11 @t66)) % 41.43/41.61 (assume @p111 (exists @t11 @t14)) % 41.43/41.61 (assume @p112 (exists @t11 @t108)) % 41.43/41.61 (assume @p113 (forall @t6 (=> @t91 (= @t97 @t116)))) % 41.43/41.61 (assume @p114 (forall @t6 (=> @t91 (= @t99 (tptp.set_meet @t2))))) % 41.43/41.61 (assume @p115 (forall @t67 (=> @t102 (= @t100 @t125)))) % 41.43/41.61 (assume @p116 (forall @t6 (tptp.subset @t1 @t1))) % 41.43/41.61 (assume @p117 (forall @t6 (=> @t86 (tptp.disjoint @t2 @t1)))) % 41.43/41.61 (assume @p118 (forall @t118 (not (and (= @t16 (tptp.unordered_pair @t21 @t20)) (not @t126) (not (= @t1 @t20)))))) % 41.43/41.61 (assume @p119 (forall @t67 (=> @t38 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t21))) (and @t5 (tptp.in @t1 @t127)))))) % 41.43/41.61 (assume @p120 (forall @t6 (=> @t28 (tptp.subset @t128 @t1)))) % 41.43/41.61 (assume @p121 (forall @t6 (=> @t28 (tptp.subset @t48 @t2)))) % 41.43/41.61 (assume @p122 (forall @t6 (=> @t28 (tptp.subset @t128 @t129)))) % 41.43/41.61 (assume @p123 (forall @t67 (=> @t29 (and (tptp.subset @t130 (tptp.cartesian_product2 @t2 @t21)) (tptp.subset (tptp.cartesian_product2 @t21 @t1) (tptp.cartesian_product2 @t21 @t2)))))) % 41.43/41.61 (assume @p124 (forall @t6 (=> @t28 (= @t128 (tptp.set_intersection2 @t129 @t1))))) % 41.43/41.61 (assume @p125 (forall @t118 (=> (and @t29 (tptp.subset @t21 @t20)) (tptp.subset @t130 (tptp.cartesian_product2 @t2 @t20))))) % 41.43/41.61 (assume @p126 (forall @t6 (=> @t29 (= @t18 @t2)))) % 41.43/41.61 (assume @p127 (forall @t11 (exists @t53 (and @t5 @t135 (forall @t49 (=> @t59 (tptp.in @t134 @t2))) @t133)))) % 41.43/41.61 (assume @p128 (forall @t67 (=> @t38 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t21) @t2) (tptp.relation_rng_restriction @t1 @t136))))) % 41.43/41.61 (assume @p129 @t144) % 41.43/41.61 (assume @p130 (forall @t6 (=> @t28 (tptp.subset @t145 @t129)))) % 41.43/41.61 (assume @p131 @t150) % 41.43/41.61 (assume @p132 (forall @t6 (=> @t28 (= @t145 (tptp.relation_image @t2 @t152))))) % 41.43/41.61 (assume @p133 (forall @t11 (=> @t12 (= (tptp.relation_image @t1 @t41) @t81)))) % 41.43/41.61 (assume @p134 (forall @t11 (=> @t12 (forall @t53 (=> @t28 (= @t153 (tptp.relation_image @t2 @t81))))))) % 41.43/41.61 (assume @p135 @t162) % 41.43/41.61 (assume @p136 (forall @t6 (=> @t28 (tptp.subset @t146 @t151)))) % 41.43/41.61 (assume @p137 (forall @t6 (=> @t28 (not (and @t60 (tptp.subset @t1 @t129) (= @t146 tptp.empty_set)))))) % 41.43/41.61 (assume @p138 (forall @t67 (=> @t38 (=> @t29 (tptp.subset (tptp.relation_inverse_image @t21 @t1) @t158))))) % 41.43/41.61 (assume @p139 (forall @t6 (tptp.subset @t19 @t1))) % 41.43/41.61 (assume @p140 (forall @t67 (=> (and @t29 @t164) (tptp.subset @t1 @t163)))) % 41.43/41.61 (assume @p141 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 41.43/41.61 (assume @p142 (forall @t6 (=> @t5 @t165))) % 41.43/41.61 (assume @p143 (forall @t67 (=> (and @t29 (tptp.subset @t2 @t21)) @t164))) % 41.43/41.61 (assume @p144 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 41.43/41.61 (assume @p145 (forall @t67 (=> @t38 (=> @t167 (and @t166 (tptp.in @t2 @t127)))))) % 41.43/41.61 (assume @p146 (forall @t6 (=> @t148 (forall @t49 (=> @t124 (= @t170 (and @t166 (tptp.in @t168 @t151)))))))) % 41.43/41.61 (assume @p147 (forall @t11 (=> @t12 (tptp.subset @t1 (tptp.cartesian_product2 @t41 @t81))))) % 41.43/41.61 (assume @p148 (forall @t6 (=> @t148 (forall @t49 (=> @t124 (=> @t170 (= (tptp.apply @t169 @t1) (tptp.apply @t2 @t168)))))))) % 41.43/41.61 (assume @p149 (forall @t6 (=> @t148 (forall @t49 (=> @t124 (=> (tptp.in @t1 @t151) (= (tptp.apply (tptp.relation_composition @t2 @t21) @t1) (tptp.apply @t21 (tptp.apply @t2 @t1))))))))) % 41.43/41.61 (assume @p150 (forall @t11 (=> @t12 (forall @t53 (=> @t28 (=> @t29 (and (tptp.subset @t41 @t151) (tptp.subset @t81 @t129)))))))) % 41.43/41.61 (assume @p151 (forall @t67 (=> @t29 (tptp.subset (tptp.set_intersection2 @t1 @t21) @t163)))) % 41.43/41.61 (assume @p152 (forall @t6 (=> @t29 (= @t19 @t1)))) % 41.43/41.61 (assume @p153 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 41.43/41.61 (assume @p154 (forall @t6 (=> @t165 (or @t64 @t5)))) % 41.43/41.61 (assume @p155 (forall @t6 (=> (forall @t49 (= @t22 @t59)) @t30))) % 41.43/41.61 (assume @p156 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 41.43/41.61 (assume @p157 (forall @t67 (=> @t38 (=> @t167 (and (tptp.in @t1 @t171) (tptp.in @t2 @t171)))))) % 41.43/41.61 (assume @p158 (forall @t67 (=> @t29 (tptp.subset (tptp.set_difference @t1 @t21) @t125)))) % 41.43/41.61 (assume @p159 (forall @t118 (=> (= @t84 @t23) (and @t126 (= @t2 @t20))))) % 41.43/41.61 (assume @p160 (forall @t6 (=> @t148 (= @t27 (and (= @t151 @t1) (forall @t49 (=> @t22 (= @t172 @t21)))))))) % 41.43/41.61 (assume @p161 (forall @t6 (=> @t3 (= (tptp.apply @t26 @t2) @t2)))) % 41.43/41.61 (assume @p162 (forall @t6 (tptp.subset @t79 @t1))) % 41.43/41.61 (assume @p163 (forall @t11 (=> @t12 (and (= @t81 (tptp.relation_dom @t85)) (= @t41 (tptp.relation_rng @t85)))))) % 41.43/41.61 (assume @p164 (forall @t67 (= (tptp.subset @t16 @t21) (and @t117 @t173)))) % 41.43/41.61 (assume @p165 (forall @t6 (= @t174 @t18))) % 41.43/41.61 (assume @p166 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 41.43/41.61 (assume @p167 (forall @t6 (= @t119 @t29))) % 41.43/41.61 (assume @p168 (forall @t6 (and (not (and @t176 (forall @t49 (not @t175)))) (not (and (exists @t49 @t175) @t86))))) % 41.43/41.61 (assume @p169 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t56))) % 41.43/41.61 (assume @p170 (forall @t6 (= (tptp.set_difference @t18 @t2) @t79))) % 41.43/41.61 (assume @p171 (forall @t6 (=> @t83 (forall @t49 (=> @t101 (= @t178 (tptp.subset @t2 @t177))))))) % 41.43/41.61 (assume @p172 (forall @t11 (=> @t12 (forall @t53 (=> @t28 (tptp.subset @t179 @t41)))))) % 41.43/41.61 (assume @p173 (forall @t11 (=> @t12 (forall @t53 (=> @t28 (tptp.subset @t153 @t129)))))) % 41.43/41.61 (assume @p174 (forall @t6 (=> @t29 (= @t2 @t174)))) % 41.43/41.61 (assume @p175 (forall @t11 (=> @t12 (forall @t53 (=> @t28 (=> (tptp.subset @t81 @t151) (= @t179 @t41))))))) % 41.43/41.61 (assume @p176 (forall @t6 (=> @t91 (not (and @t180 (= @t89 tptp.empty_set)))))) % 41.43/41.61 (assume @p177 (forall @t11 (=> @t12 (forall @t53 (=> @t28 (=> (tptp.subset @t41 @t129) (= (tptp.relation_rng @t104) @t81))))))) % 41.43/41.61 (assume @p178 (forall @t6 (=> @t91 (=> @t180 (= (tptp.subset_difference @t1 @t77 @t97) (tptp.meet_of_subsets @t1 @t89)))))) % 41.43/41.61 (assume @p179 (forall @t6 (=> @t91 (=> @t180 (= (tptp.union_of_subsets @t1 @t89) (tptp.subset_difference @t1 @t77 @t99)))))) % 41.43/41.61 (assume @p180 (forall @t6 (= (tptp.set_difference @t1 @t79) @t19))) % 41.43/41.61 (assume @p181 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 41.43/41.61 (assume @p182 (forall @t67 (=> (and @t5 @t181) (tptp.element @t1 @t21)))) % 41.43/41.61 (assume @p183 (forall @t6 (and (not (and @t176 (forall @t49 (not @t182)))) (not (and (exists @t49 @t182) @t86))))) % 41.43/41.61 (assume @p184 (forall @t11 (=> @t60 (forall @t53 (=> @t83 (forall @t49 (=> (tptp.element @t21 @t1) (=> @t131 (tptp.in @t21 @t82))))))))) % 41.43/41.61 (assume @p185 (forall @t11 (=> @t46 (=> @t13 (forall @t53 (=> @t148 (= (= @t2 @t93) (and (= @t151 @t81) (forall @t25 (and (=> @t183 @t184) (=> @t184 @t183))))))))))) % 41.43/41.61 (assume @p186 (forall @t67 (=> @t101 (not (and (tptp.in @t2 @t177) @t173))))) % 41.43/41.61 (assume @p187 (forall @t11 (=> @t46 (=> @t13 (and (= @t81 (tptp.relation_dom @t93)) (= @t41 (tptp.relation_rng @t93))))))) % 41.43/41.61 (assume @p188 (forall @t11 (=> @t12 (=> (forall @t39 (not @t76)) @t56)))) % 41.43/41.61 (assume @p189 (forall @t6 (=> @t148 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t129)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t185 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t185 @t2) @t1))))))) % 41.43/41.61 (assume @p190 (forall @t67 (not (and @t5 @t181 (tptp.empty @t21))))) % 41.43/41.61 (assume @p191 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 41.43/41.61 (assume @p192 (forall @t6 (not (and @t29 @t7)))) % 41.43/41.61 (assume @p193 (forall @t11 (=> @t46 (=> @t13 (tptp.one_to_one @t93))))) % 41.43/41.61 (assume @p194 (forall @t67 (=> (and @t29 @t178) (tptp.disjoint @t1 @t21)))) % 41.43/41.61 (assume @p195 (forall @t11 (=> @t12 (=> (or @t187 @t186) @t56)))) % 41.43/41.61 (assume @p196 (forall @t11 (=> @t12 (= @t187 @t186)))) % 41.43/41.61 (assume @p197 (forall @t6 (= (= (tptp.set_difference @t1 @t115) @t1) @t4))) % 41.43/41.61 (assume @p198 (forall @t6 (=> @t148 (forall @t49 (=> @t124 (= (= @t2 @t121) (and (= @t151 (tptp.set_intersection2 @t120 @t1)) (forall @t44 (=> (tptp.in @t20 @t151) (= (tptp.apply @t2 @t20) (tptp.apply @t21 @t20))))))))))) % 41.43/41.61 (assume @p199 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t61))) % 41.43/41.61 (assume @p200 (forall @t11 (=> @t10 @t56))) % 41.43/41.61 (assume @p201 (forall @t6 (=> (tptp.subset @t61 @t115) @t30))) % 41.43/41.61 (assume @p202 (forall @t67 (=> @t124 (=> @t122 @t188)))) % 41.43/41.61 (assume @p203 (forall @t11 (and (= (tptp.relation_dom @t26) @t1) (= (tptp.relation_rng @t26) @t1)))) % 41.43/41.61 (assume @p204 (forall @t67 (=> @t124 (=> @t3 @t188)))) % 41.43/41.61 (assume @p205 (forall @t118 (=> (tptp.relation @t20) (= (tptp.in @t84 (tptp.relation_composition (tptp.identity_relation @t21) @t20)) (and @t117 (tptp.in @t84 @t20)))))) % 41.43/41.61 (assume @p206 (forall @t6 (not (and @t5 @t64)))) % 41.43/41.61 (assume @p207 (forall @t6 (tptp.subset @t1 @t18))) % 41.43/41.61 (assume @p208 (forall @t6 (= @t86 (= @t79 @t1)))) % 41.43/41.61 (assume @p209 (forall @t67 (=> @t38 (= (tptp.in @t1 (tptp.relation_dom @t136)) (and @t5 @t166))))) % 41.43/41.61 (assume @p210 (forall @t6 (=> @t28 (tptp.subset @t189 @t2)))) % 41.43/41.61 (assume @p211 (forall @t6 (not (and @t10 @t92 @t64)))) % 41.43/41.61 (assume @p212 @t191) % 41.43/41.61 (assume @p213 (forall @t67 (=> (and @t29 @t132) (tptp.subset (tptp.set_union2 @t1 @t21) @t2)))) % 41.43/41.61 (assume @p214 (forall @t67 (=> @t192 @t30))) % 41.43/41.61 (assume @p215 (forall @t6 (=> @t28 (= (tptp.relation_dom @t189) @t152)))) % 41.43/41.61 (assume @p216 (forall @t6 (=> @t28 (= @t189 (tptp.relation_composition @t26 @t2))))) % 41.43/41.61 (assume @p217 (forall @t6 (=> @t28 (tptp.subset (tptp.relation_rng @t189) @t129)))) % 41.43/41.61 (assume @p218 (forall @t11 (= (tptp.union @t62) @t1))) % 41.43/41.61 (assume @p219 (forall @t11 (exists @t53 (and @t5 @t135 (forall @t49 (not (and @t59 (forall @t44 (not (and @t34 (forall @t42 (=> (tptp.subset @t31 @t21) (tptp.in @t31 @t20))))))))) @t133)))) % 41.43/41.61 (assume @p220 (forall @t67 (=> @t192 @t87))) % 41.43/41.61 (step @p221 :rule evaluate :args ((= true false))) % 41.43/41.61 (step @p222 :rule bool-impl-elim :args (@t22 @t59)) % 41.43/41.61 (step @p223 :rule cong :premises (@p222) :args (@t70)) % 41.43/41.61 (step @p224 :rule refl :args (@t29)) % 41.43/41.61 (step @p225 :rule cong :premises (@p224 @p223) :args (@t71)) % 41.43/41.61 (step @p226 :rule cong :premises (@p225) :args (@t72)) % 41.43/41.61 (step @p227 :rule eq_resolve :premises (@p28 @p226)) % 41.43/41.61 (step @p228 :rule instantiate :premises (@p227) :args ((@list @t200 @t197))) % 41.43/41.61 (step @p229 :rule aci_norm :args ((= (or (or @t194 @t193) @t147) @t195))) % 41.43/41.61 (step @p230 :rule refl :args (@t147)) % 41.43/41.61 (step @p231 :rule bool-and-de-morgan :args (@t28 @t109 true)) % 41.43/41.61 (step @p232 :rule nary_cong :premises (@p231 @p230) :args ((or (not @t148) @t147))) % 41.43/41.61 (step @p233 :rule trans :premises (@p232 @p229)) % 41.43/41.61 (step @p234 :rule bool-impl-elim :args (@t148 @t147)) % 41.43/41.61 (step @p235 :rule trans :premises (@p234 @p233)) % 41.43/41.61 (step @p236 :rule cong :premises (@p235) :args (@t149)) % 41.43/41.61 (step @p237 :rule cong :premises (@p236) :args (@t150)) % 41.43/41.61 (step @p238 :rule eq_resolve :premises (@p131 @p237)) % 41.43/41.61 (step @p239 :rule skolemize :premises (@p238)) % 41.43/41.61 (step @p240 :rule cnf_or_neg :args (@t206 2)) % 41.43/41.61 (step @p241 :rule chain_m_resolution :premises (@p240 @p239) :args ((not @t201) @t207 @t208)) % 41.43/41.61 (step @p242 :rule cnf_equiv_pos2 :args (@t210)) % 41.43/41.61 (step @p243 :rule reordering :premises (@p242) :args ((or @t201 @t211 (not @t210)))) % 41.43/41.61 (step @p244 :rule chain_m_resolution :premises (@p243 @p241 @p228) :args (@t211 (@list true false) (@list @t201 @t210))) % 41.43/41.61 (step @p245 :rule skolemize :premises (@p244)) % 41.43/41.61 (step @p246 :rule cnf_or_neg :args (@t216 1)) % 41.43/41.61 (step @p247 :rule chain_m_resolution :premises (@p246 @p245) :args ((not @t213) @t207 @t217)) % 41.43/41.61 (step @p248 :rule false_intro :premises (@p247)) % 41.43/41.61 (step @p249 :rule refl :args (@t197)) % 41.43/41.61 (step @p250 :rule aci_norm :args ((= (or (or @t219 @t218) @t190) @t220))) % 41.43/41.61 (step @p251 :rule refl :args (@t190)) % 41.43/41.61 (step @p252 :rule bool-and-de-morgan :args (@t38 @t123 true)) % 41.43/41.61 (step @p253 :rule nary_cong :premises (@p252 @p251) :args ((or (not @t124) @t190))) % 41.43/41.61 (step @p254 :rule trans :premises (@p253 @p250)) % 41.43/41.61 (step @p255 :rule bool-impl-elim :args (@t124 @t190)) % 41.43/41.61 (step @p256 :rule trans :premises (@p255 @p254)) % 41.43/41.61 (step @p257 :rule cong :premises (@p256) :args (@t191)) % 41.43/41.61 (step @p258 :rule eq_resolve :premises (@p212 @p257)) % 41.43/41.61 (step @p259 :rule instantiate :premises (@p258) :args ((@list @t223 @t212 @t198))) % 41.43/41.61 (step @p260 :rule bool-double-not-elim :args (@t202)) % 41.43/41.61 (step @p261 :rule refl :args (@t206)) % 41.43/41.61 (step @p262 :rule nary_cong :premises (@p261 @p260) :args ((or @t206 (not @t203)))) % 41.43/41.61 (step @p263 :rule cnf_or_neg :args (@t206 1)) % 41.43/41.61 (step @p264 :rule eq_resolve :premises (@p263 @p262)) % 41.43/41.61 (step @p265 :rule reordering :premises (@p264) :args ((or @t202 @t206))) % 41.43/41.61 (step @p266 :rule chain_m_resolution :premises (@p265 @p239) :args (@t202 @t207 @t208)) % 41.43/41.61 (step @p267 :rule bool-double-not-elim :args (@t204)) % 41.43/41.61 (step @p268 :rule nary_cong :premises (@p261 @p267) :args ((or @t206 (not @t205)))) % 41.43/41.61 (step @p269 :rule cnf_or_neg :args (@t206 0)) % 41.43/41.61 (step @p270 :rule eq_resolve :premises (@p269 @p268)) % 41.43/41.61 (step @p271 :rule reordering :premises (@p270) :args ((or @t204 @t206))) % 41.43/41.61 (step @p272 :rule chain_m_resolution :premises (@p271 @p239) :args (@t204 @t207 @t208)) % 41.43/41.61 (step @p273 :rule cnf_or_pos :args (@t230)) % 41.43/41.61 (step @p274 :rule reordering :premises (@p273) :args ((or @t205 @t203 @t229 (not @t230)))) % 41.43/41.61 (step @p275 :rule chain_m_resolution :premises (@p274 @p272 @p266 @p259) :args (@t229 @t231 (@list @t204 @t202 @t230))) % 41.43/41.61 (step @p276 :rule bool-impl-elim :args (@t38 @t235)) % 41.43/41.61 (step @p277 :rule cong :premises (@p276) :args ((forall @t67 (=> @t38 @t235)))) % 41.43/41.61 (step @p278 :rule aci_norm :args ((= (or @t233 (or @t232 @t78)) @t234))) % 41.43/41.61 (step @p279 :rule bool-and-de-morgan :args (@t137 @t34 true)) % 41.43/41.61 (step @p280 :rule refl :args (@t233)) % 41.43/41.61 (step @p281 :rule nary_cong :premises (@p280 @p279) :args ((or @t233 (not (and @t137 @t34))))) % 41.43/41.61 (step @p282 :rule bool-and-de-morgan :args (@t138 @t137 (and @t34))) % 41.43/41.61 (step @p283 :rule trans :premises (@p282 @p281)) % 41.43/41.61 (step @p284 :rule trans :premises (@p283 @p278)) % 41.43/41.61 (step @p285 :rule cong :premises (@p284) :args (@t236)) % 41.43/41.61 (step @p286 :rule cong :premises (@p285) :args (@t237)) % 41.43/41.61 (step @p287 :rule exists-elim :args ((= @t140 @t237))) % 41.43/41.61 (step @p288 :rule trans :premises (@p287 @p286)) % 41.43/41.61 (step @p289 :rule refl :args (@t141)) % 41.43/41.61 (step @p290 :rule cong :premises (@p289 @p288) :args (@t142)) % 41.43/41.61 (step @p291 :rule refl :args (@t38)) % 41.43/41.61 (step @p292 :rule cong :premises (@p291 @p290) :args (@t143)) % 41.43/41.61 (step @p293 :rule cong :premises (@p292) :args (@t144)) % 41.43/41.61 (step @p294 :rule trans :premises (@p293 @p277)) % 41.43/41.61 (step @p295 :rule eq_resolve :premises (@p129 @p294)) % 41.43/41.61 (step @p296 :rule instantiate :premises (@p295) :args ((@list @t212 @t199 @t198))) % 41.43/41.61 (step @p297 :rule cnf_or_pos :args (@t240)) % 41.43/41.61 (step @p298 :rule reordering :premises (@p297) :args ((or @t205 @t239 (not @t240)))) % 41.43/41.61 (step @p299 :rule chain_m_resolution :premises (@p298 @p272 @p296) :args (@t239 @t241 (@list @t204 @t240))) % 41.43/41.61 (step @p300 :rule bool-double-not-elim :args (@t214)) % 41.43/41.61 (step @p301 :rule refl :args (@t216)) % 41.43/41.61 (step @p302 :rule nary_cong :premises (@p301 @p300) :args ((or @t216 (not @t215)))) % 41.43/41.61 (step @p303 :rule cnf_or_neg :args (@t216 0)) % 41.43/41.61 (step @p304 :rule eq_resolve :premises (@p303 @p302)) % 41.43/41.61 (step @p305 :rule reordering :premises (@p304) :args ((or @t214 @t216))) % 41.43/41.61 (step @p306 :rule chain_m_resolution :premises (@p305 @p245) :args (@t214 @t207 @t217)) % 41.43/41.61 (step @p307 :rule cnf_equiv_pos1 :args (@t239)) % 41.43/41.61 (step @p308 :rule reordering :premises (@p307) :args ((or @t215 @t238 (not @t239)))) % 41.43/41.61 (step @p309 :rule chain_m_resolution :premises (@p308 @p306 @p299) :args (@t238 @t241 (@list @t214 @t239))) % 41.43/41.61 (step @p310 :rule skolemize :premises (@p309)) % 41.43/41.61 (step @p311 :rule bool-double-not-elim :args (@t228)) % 41.43/41.61 (step @p312 :rule refl :args (@t245)) % 41.43/41.61 (step @p313 :rule nary_cong :premises (@p312 @p311) :args ((or @t245 (not @t244)))) % 41.43/41.61 (step @p314 :rule cnf_or_neg :args (@t245 1)) % 41.43/41.61 (step @p315 :rule eq_resolve :premises (@p314 @p313)) % 41.43/41.61 (step @p316 :rule reordering :premises (@p315) :args ((or @t228 @t245))) % 41.43/41.61 (step @p317 :rule chain_m_resolution :premises (@p316 @p310) :args (@t228 @t207 @t246)) % 41.43/41.61 (step @p318 :rule cnf_equiv_pos1 :args (@t229)) % 41.43/41.61 (step @p319 :rule reordering :premises (@p318) :args ((or @t244 @t227 (not @t229)))) % 41.43/41.61 (step @p320 :rule chain_m_resolution :premises (@p319 @p317 @p275) :args (@t227 @t241 (@list @t228 @t229))) % 41.43/41.61 (step @p321 :rule cnf_and_pos :args (@t227 1)) % 41.43/41.61 (step @p322 :rule reordering :premises (@p321) :args ((or @t225 (not @t227)))) % 41.43/41.61 (step @p323 :rule chain_m_resolution :premises (@p322 @p320) :args (@t225 @t247 (@list @t227))) % 41.43/41.61 (step @p324 :rule symm :premises (@p323)) % 41.43/41.61 (step @p325 :rule eq-symm :args (@t250 @t224)) % 41.43/41.61 (step @p326 :rule refl :args (@t226)) % 41.43/41.61 (step @p327 :rule nary_cong :premises (@p326 @p325) :args (@t251)) % 41.43/41.61 (step @p328 :rule refl :args (@t252)) % 41.43/41.61 (step @p329 :rule cong :premises (@p328 @p327) :args (@t253)) % 41.43/41.61 (step @p330 :rule refl :args (@t203)) % 41.43/41.61 (step @p331 :rule refl :args (@t205)) % 41.43/41.61 (step @p332 :rule nary_cong :premises (@p331 @p330 @p329) :args (@t254)) % 41.43/41.61 (step @p333 :rule refl :args (@t255)) % 41.43/41.61 (step @p334 :rule cong :premises (@p333 @p332) :args ((=> @t255 @t254))) % 41.43/41.61 (assume-push @p404 @t255) % 41.43/41.61 (step @p336 :rule instantiate :premises (@p258) :args ((@list @t223 @t250 @t198))) % 41.43/41.61 (step-pop @p405 :rule scope :premises (@p336)) % 41.43/41.61 (step @p337 :rule process_scope :premises (@p405) :args (@t254)) % 41.43/41.61 (step @p339 :rule eq_resolve :premises (@p337 @p334)) % 41.43/41.61 (step @p340 :rule implies_elim :premises (@p339)) % 41.43/41.61 (step @p341 :rule chain_m_resolution :premises (@p340 @p258) :args (@t259 @t247 (@list @t255))) % 41.43/41.61 (step @p342 :rule cnf_or_pos :args (@t259)) % 41.43/41.61 (step @p343 :rule reordering :premises (@p342) :args ((or @t205 @t203 @t258 (not @t259)))) % 41.43/41.61 (step @p344 :rule chain_m_resolution :premises (@p343 @p272 @p266 @p341) :args (@t258 @t231 (@list @t204 @t202 @t259))) % 41.43/41.61 (step @p345 :rule bool-impl-elim :args (@t38 @t263)) % 41.43/41.61 (step @p346 :rule cong :premises (@p345) :args ((forall @t67 (=> @t38 @t263)))) % 41.43/41.61 (step @p347 :rule aci_norm :args ((= (or @t261 (or @t260 @t78)) @t262))) % 41.43/41.61 (step @p348 :rule bool-and-de-morgan :args (@t154 @t34 true)) % 41.43/41.61 (step @p349 :rule refl :args (@t261)) % 41.43/41.61 (step @p350 :rule nary_cong :premises (@p349 @p348) :args ((or @t261 (not (and @t154 @t34))))) % 41.43/41.61 (step @p351 :rule bool-and-de-morgan :args (@t155 @t154 (and @t34))) % 41.43/41.61 (step @p352 :rule trans :premises (@p351 @p350)) % 41.43/41.61 (step @p353 :rule trans :premises (@p352 @p347)) % 41.43/41.61 (step @p354 :rule cong :premises (@p353) :args (@t264)) % 41.43/41.61 (step @p355 :rule cong :premises (@p354) :args (@t265)) % 41.43/41.61 (step @p356 :rule exists-elim :args ((= @t157 @t265))) % 41.43/41.61 (step @p357 :rule trans :premises (@p356 @p355)) % 41.43/41.61 (step @p358 :rule refl :args (@t159)) % 41.43/41.61 (step @p359 :rule cong :premises (@p358 @p357) :args (@t160)) % 41.43/41.61 (step @p360 :rule cong :premises (@p291 @p359) :args (@t161)) % 41.43/41.61 (step @p361 :rule cong :premises (@p360) :args (@t162)) % 41.43/41.61 (step @p362 :rule trans :premises (@p361 @p346)) % 41.43/41.61 (step @p363 :rule eq_resolve :premises (@p135 @p362)) % 41.43/41.61 (step @p364 :rule instantiate :premises (@p363) :args ((@list @t223 @t197 @t198))) % 41.43/41.61 (step @p365 :rule cnf_or_pos :args (@t268)) % 41.43/41.61 (step @p366 :rule reordering :premises (@p365) :args ((or @t205 @t267 (not @t268)))) % 41.43/41.61 (step @p367 :rule chain_m_resolution :premises (@p366 @p272 @p364) :args (@t267 @t241 (@list @t204 @t268))) % 41.43/41.61 (step @p368 :rule bool-double-not-elim :args (@t242)) % 41.43/41.61 (step @p369 :rule nary_cong :premises (@p312 @p368) :args ((or @t245 (not @t243)))) % 41.43/41.61 (step @p370 :rule cnf_or_neg :args (@t245 2)) % 41.43/41.61 (step @p371 :rule eq_resolve :premises (@p370 @p369)) % 41.43/41.61 (step @p372 :rule reordering :premises (@p371) :args ((or @t242 @t245))) % 41.43/41.61 (step @p373 :rule chain_m_resolution :premises (@p372 @p310) :args (@t242 @t207 @t246)) % 41.43/41.61 (step @p374 :rule cnf_equiv_pos1 :args (@t267)) % 41.43/41.61 (step @p375 :rule reordering :premises (@p374) :args ((or @t243 @t266 (not @t267)))) % 41.43/41.61 (step @p376 :rule chain_m_resolution :premises (@p375 @p373 @p367) :args (@t266 @t241 (@list @t242 @t267))) % 41.43/41.61 (step @p377 :rule skolemize :premises (@p376)) % 41.43/41.61 (step @p378 :rule bool-double-not-elim :args (@t252)) % 41.43/41.61 (step @p379 :rule refl :args (@t272)) % 41.43/41.61 (step @p380 :rule nary_cong :premises (@p379 @p378) :args ((or @t272 (not @t271)))) % 41.43/41.61 (step @p381 :rule cnf_or_neg :args (@t272 1)) % 41.43/41.61 (step @p382 :rule eq_resolve :premises (@p381 @p380)) % 41.43/41.61 (step @p383 :rule reordering :premises (@p382) :args ((or @t252 @t272))) % 41.43/41.61 (step @p384 :rule chain_m_resolution :premises (@p383 @p377) :args (@t252 @t207 @t273)) % 41.43/41.61 (step @p385 :rule cnf_equiv_pos1 :args (@t258)) % 41.43/41.61 (step @p386 :rule reordering :premises (@p385) :args ((or @t271 @t257 (not @t258)))) % 41.43/41.61 (step @p387 :rule chain_m_resolution :premises (@p386 @p384 @p344) :args (@t257 @t241 (@list @t252 @t258))) % 41.43/41.61 (step @p388 :rule cnf_and_pos :args (@t257 1)) % 41.43/41.61 (step @p389 :rule reordering :premises (@p388) :args ((or @t256 (not @t257)))) % 41.43/41.61 (step @p390 :rule chain_m_resolution :premises (@p389 @p387) :args (@t256 @t247 (@list @t257))) % 41.43/41.61 (step @p391 :rule symm :premises (@p390)) % 41.43/41.61 (step @p392 :rule trans :premises (@p391 @p324)) % 41.43/41.61 (step @p393 :rule cong :premises (@p392 @p249) :args (@t269)) % 41.43/41.61 (step @p394 :rule bool-double-not-elim :args (@t269)) % 41.43/41.61 (step @p395 :rule nary_cong :premises (@p379 @p394) :args ((or @t272 (not @t270)))) % 41.43/41.61 (step @p396 :rule cnf_or_neg :args (@t272 2)) % 41.43/41.61 (step @p397 :rule eq_resolve :premises (@p396 @p395)) % 41.43/41.61 (step @p398 :rule reordering :premises (@p397) :args ((or @t269 @t272))) % 41.43/41.61 (step @p399 :rule chain_m_resolution :premises (@p398 @p377) :args (@t269 @t207 @t273)) % 41.43/41.61 (step @p400 :rule true_intro :premises (@p399)) % 41.43/41.61 (step @p401 :rule symm :premises (@p400)) % 41.43/41.61 (step @p402 :rule trans :premises (@p401 @p393 @p248)) % 41.43/41.61 (step @p403 false :rule eq_resolve :premises (@p402 @p221)) % 41.43/41.61 ) % 41.43/41.61 % SZS output end Proof % 41.43/41.61 % cvc5 exiting %------------------------------------------------------------------------------