%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU220+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:51:00 AM UTC 2026 % Result : Theorem 27.73s 27.90s % Output : Proof 27.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU220+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n006.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:42:49 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 27.73/27.90 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 27.73/27.90 --- Run --no-e-matching --full-saturate-quant at 6... % 27.73/27.90 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.73/27.90 % SZS status Theorem % 27.73/27.90 % SZS output start Proof % 27.73/27.90 ( % 27.73/27.90 (declare-sort $$unsorted 0) % 27.73/27.90 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 27.73/27.90 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 27.73/27.90 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.function (-> $$unsorted Bool)) % 27.73/27.90 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.relation (-> $$unsorted Bool)) % 27.73/27.90 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.empty (-> $$unsorted Bool)) % 27.73/27.90 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 27.73/27.90 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 27.73/27.90 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 27.73/27.90 (declare-const tptp.empty_set $$unsorted) % 27.73/27.90 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 27.73/27.90 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 27.73/27.90 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 27.73/27.90 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 27.73/27.90 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 27.73/27.90 (define @t1 () (@var "A" $$unsorted)) % 27.73/27.90 (define @t2 () (@var "B" $$unsorted)) % 27.73/27.90 (define @t3 () (tptp.in @t2 @t1)) % 27.73/27.90 (define @t4 () (not @t3)) % 27.73/27.90 (define @t5 () (tptp.in @t1 @t2)) % 27.73/27.90 (define @t6 () (@list @t1 @t2)) % 27.73/27.90 (define @t7 () (tptp.proper_subset @t2 @t1)) % 27.73/27.90 (define @t8 () (tptp.proper_subset @t1 @t2)) % 27.73/27.90 (define @t9 () (tptp.function @t1)) % 27.73/27.90 (define @t10 () (tptp.empty @t1)) % 27.73/27.90 (define @t11 () (@list @t1)) % 27.73/27.90 (define @t12 () (tptp.relation @t1)) % 27.73/27.90 (define @t13 () (tptp.one_to_one @t1)) % 27.73/27.90 (define @t14 () (and @t12 @t9 @t13)) % 27.73/27.90 (define @t15 () (and @t12 @t10 @t9)) % 27.73/27.90 (define @t16 () (tptp.unordered_pair @t1 @t2)) % 27.73/27.90 (define @t17 () (tptp.set_union2 @t2 @t1)) % 27.73/27.90 (define @t18 () (tptp.set_union2 @t1 @t2)) % 27.73/27.90 (define @t19 () (tptp.set_intersection2 @t1 @t2)) % 27.73/27.90 (define @t20 () (@var "D" $$unsorted)) % 27.73/27.90 (define @t21 () (@var "C" $$unsorted)) % 27.73/27.90 (define @t22 () (tptp.in @t21 @t1)) % 27.73/27.90 (define @t23 () (tptp.ordered_pair @t21 @t20)) % 27.73/27.90 (define @t24 () (tptp.in @t23 @t2)) % 27.73/27.90 (define @t25 () (@list @t21 @t20)) % 27.73/27.90 (define @t26 () (tptp.identity_relation @t1)) % 27.73/27.90 (define @t27 () (= @t2 @t26)) % 27.73/27.90 (define @t28 () (tptp.relation @t2)) % 27.73/27.90 (define @t29 () (tptp.subset @t1 @t2)) % 27.73/27.90 (define @t30 () (= @t1 @t2)) % 27.73/27.90 (define @t31 () (@var "E" $$unsorted)) % 27.73/27.90 (define @t32 () (tptp.ordered_pair @t20 @t31)) % 27.73/27.90 (define @t33 () (tptp.in @t32 @t1)) % 27.73/27.90 (define @t34 () (tptp.in @t20 @t2)) % 27.73/27.90 (define @t35 () (tptp.in @t32 @t21)) % 27.73/27.90 (define @t36 () (@list @t20 @t31)) % 27.73/27.90 (define @t37 () (tptp.relation_dom_restriction @t1 @t2)) % 27.73/27.90 (define @t38 () (tptp.relation @t21)) % 27.73/27.90 (define @t39 () (@list @t2 @t21)) % 27.73/27.90 (define @t40 () (tptp.in @t31 @t1)) % 27.73/27.90 (define @t41 () (tptp.relation_rng_restriction @t1 @t2)) % 27.73/27.90 (define @t42 () (@list @t21)) % 27.73/27.90 (define @t43 () (tptp.in @t31 @t2)) % 27.73/27.90 (define @t44 () (@list @t31)) % 27.73/27.90 (define @t45 () (tptp.in @t20 @t21)) % 27.73/27.90 (define @t46 () (@list @t20)) % 27.73/27.90 (define @t47 () (@list @t2)) % 27.73/27.90 (define @t48 () (= @t2 tptp.empty_set)) % 27.73/27.90 (define @t49 () (= @t2 (tptp.set_meet @t1))) % 27.73/27.90 (define @t50 () (= @t1 tptp.empty_set)) % 27.73/27.90 (define @t51 () (tptp.in @t21 @t20)) % 27.73/27.90 (define @t52 () (tptp.in @t20 @t1)) % 27.73/27.90 (define @t53 () (tptp.in @t21 @t2)) % 27.73/27.90 (define @t54 () (not @t50)) % 27.73/27.90 (define @t55 () (tptp.singleton @t1)) % 27.73/27.90 (define @t56 () (tptp.powerset @t1)) % 27.73/27.90 (define @t57 () (tptp.in @t23 @t1)) % 27.73/27.90 (define @t58 () (tptp.empty @t2)) % 27.73/27.90 (define @t59 () (tptp.element @t2 @t1)) % 27.73/27.90 (define @t60 () (not @t10)) % 27.73/27.90 (define @t61 () (@list @t1 @t2 @t21)) % 27.73/27.90 (define @t62 () (@var "F" $$unsorted)) % 27.73/27.90 (define @t63 () (tptp.cartesian_product2 @t1 @t2)) % 27.73/27.90 (define @t64 () (forall @t42 (=> @t22 @t53))) % 27.73/27.90 (define @t65 () (= @t21 (tptp.apply @t1 @t2))) % 27.73/27.90 (define @t66 () (tptp.relation_dom @t1)) % 27.73/27.90 (define @t67 () (tptp.in @t2 @t66)) % 27.73/27.90 (define @t68 () (tptp.in (tptp.ordered_pair @t2 @t21) @t1)) % 27.73/27.90 (define @t69 () (and @t12 @t9)) % 27.73/27.90 (define @t70 () (tptp.cast_to_subset @t1)) % 27.73/27.90 (define @t71 () (tptp.set_difference @t1 @t2)) % 27.73/27.90 (define @t72 () (tptp.in (tptp.ordered_pair @t20 @t21) @t1)) % 27.73/27.90 (define @t73 () (tptp.relation_rng @t1)) % 27.73/27.90 (define @t74 () (tptp.subset_complement @t1 @t2)) % 27.73/27.90 (define @t75 () (tptp.element @t2 @t56)) % 27.73/27.90 (define @t76 () (tptp.ordered_pair @t1 @t2)) % 27.73/27.90 (define @t77 () (tptp.relation_inverse @t1)) % 27.73/27.90 (define @t78 () (tptp.disjoint @t1 @t2)) % 27.73/27.90 (define @t79 () (tptp.relation_composition @t1 @t2)) % 27.73/27.90 (define @t80 () (tptp.complements_of_subsets @t1 @t2)) % 27.73/27.90 (define @t81 () (tptp.powerset @t56)) % 27.73/27.90 (define @t82 () (tptp.element @t2 @t81)) % 27.73/27.90 (define @t83 () (not @t30)) % 27.73/27.90 (define @t84 () (tptp.function_inverse @t1)) % 27.73/27.90 (define @t85 () (=> @t13 (= @t84 @t77))) % 27.73/27.90 (define @t86 () (=> @t69 @t85)) % 27.73/27.90 (define @t87 () (forall @t11 @t86)) % 27.73/27.90 (define @t88 () (tptp.relation @t77)) % 27.73/27.90 (define @t89 () (forall @t11 (=> @t12 @t88))) % 27.73/27.90 (define @t90 () (tptp.relation @t79)) % 27.73/27.90 (define @t91 () (and @t12 @t28)) % 27.73/27.90 (define @t92 () (tptp.union_of_subsets @t1 @t2)) % 27.73/27.90 (define @t93 () (tptp.relation @t26)) % 27.73/27.90 (define @t94 () (tptp.meet_of_subsets @t1 @t2)) % 27.73/27.90 (define @t95 () (tptp.subset_difference @t1 @t2 @t21)) % 27.73/27.90 (define @t96 () (tptp.element @t21 @t56)) % 27.73/27.90 (define @t97 () (and @t75 @t96)) % 27.73/27.90 (define @t98 () (tptp.relation_composition @t2 @t1)) % 27.73/27.90 (define @t99 () (and @t10 @t28)) % 27.73/27.90 (define @t100 () (tptp.relation tptp.empty_set)) % 27.73/27.90 (define @t101 () (tptp.empty tptp.empty_set)) % 27.73/27.90 (define @t102 () (tptp.function @t2)) % 27.73/27.90 (define @t103 () (and @t88 (tptp.function @t77))) % 27.73/27.90 (define @t104 () (forall @t11 (=> @t14 @t103))) % 27.73/27.90 (define @t105 () (not @t58)) % 27.73/27.90 (define @t106 () (tptp.empty @t66)) % 27.73/27.90 (define @t107 () (and @t60 @t12)) % 27.73/27.90 (define @t108 () (tptp.empty @t73)) % 27.73/27.90 (define @t109 () (tptp.disjoint @t55 @t2)) % 27.73/27.90 (define @t110 () (tptp.singleton @t2)) % 27.73/27.90 (define @t111 () (tptp.union @t2)) % 27.73/27.90 (define @t112 () (tptp.in @t1 @t21)) % 27.73/27.90 (define @t113 () (@list @t1 @t2 @t21 @t20)) % 27.73/27.90 (define @t114 () (tptp.element @t1 (tptp.powerset @t2))) % 27.73/27.90 (define @t115 () (tptp.set_difference @t2 @t21)) % 27.73/27.90 (define @t116 () (= @t1 @t21)) % 27.73/27.90 (define @t117 () (tptp.relation_rng @t21)) % 27.73/27.90 (define @t118 () (tptp.relation_rng @t41)) % 27.73/27.90 (define @t119 () (tptp.relation_rng @t2)) % 27.73/27.90 (define @t120 () (tptp.cartesian_product2 @t1 @t21)) % 27.73/27.90 (define @t121 () (not @t53)) % 27.73/27.90 (define @t122 () (tptp.subset @t21 @t2)) % 27.73/27.90 (define @t123 () (forall @t42 (not (and @t122 (not (tptp.are_equipotent @t21 @t2)) @t121)))) % 27.73/27.90 (define @t124 () (tptp.powerset @t21)) % 27.73/27.90 (define @t125 () (forall @t25 (=> (and @t53 (tptp.subset @t20 @t21)) @t34))) % 27.73/27.90 (define @t126 () (tptp.relation_dom_restriction @t21 @t2)) % 27.73/27.90 (define @t127 () (tptp.relation_dom @t21)) % 27.73/27.90 (define @t128 () (tptp.relation_image @t2 @t1)) % 27.73/27.90 (define @t129 () (tptp.relation_dom @t2)) % 27.73/27.90 (define @t130 () (tptp.set_intersection2 @t129 @t1)) % 27.73/27.90 (define @t131 () (tptp.relation_rng @t79)) % 27.73/27.90 (define @t132 () (tptp.relation_inverse_image @t21 @t2)) % 27.73/27.90 (define @t133 () (tptp.relation_inverse_image @t2 @t1)) % 27.73/27.90 (define @t134 () (tptp.set_intersection2 @t2 @t21)) % 27.73/27.90 (define @t135 () (tptp.subset @t1 @t21)) % 27.73/27.90 (define @t136 () (tptp.element @t1 @t2)) % 27.73/27.90 (define @t137 () (tptp.in @t1 @t127)) % 27.73/27.90 (define @t138 () (tptp.in @t76 @t21)) % 27.73/27.90 (define @t139 () (tptp.apply @t21 @t1)) % 27.73/27.90 (define @t140 () (tptp.relation_composition @t21 @t2)) % 27.73/27.90 (define @t141 () (tptp.in @t1 (tptp.relation_dom @t140))) % 27.73/27.90 (define @t142 () (tptp.function @t21)) % 27.73/27.90 (define @t143 () (and @t38 @t142)) % 27.73/27.90 (define @t144 () (and @t28 @t102)) % 27.73/27.90 (define @t145 () (tptp.apply @t2 @t1)) % 27.73/27.90 (define @t146 () (= (tptp.apply (tptp.relation_composition @t2 @t21) @t1) (tptp.apply @t21 @t145))) % 27.73/27.90 (define @t147 () (tptp.in @t1 @t129)) % 27.73/27.90 (define @t148 () (=> @t147 @t146)) % 27.73/27.90 (define @t149 () (forall @t42 (=> @t143 @t148))) % 27.73/27.90 (define @t150 () (=> @t144 @t149)) % 27.73/27.90 (define @t151 () (forall @t6 @t150)) % 27.73/27.90 (define @t152 () (tptp.relation_field @t21)) % 27.73/27.90 (define @t153 () (tptp.apply @t2 @t21)) % 27.73/27.90 (define @t154 () (and (= @t73 (tptp.relation_dom @t77)) (= @t66 (tptp.relation_rng @t77)))) % 27.73/27.90 (define @t155 () (forall @t11 (=> @t12 @t154))) % 27.73/27.90 (define @t156 () (tptp.in @t2 @t21)) % 27.73/27.90 (define @t157 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 27.73/27.90 (define @t158 () (and @t22 @t53)) % 27.73/27.90 (define @t159 () (not @t78)) % 27.73/27.90 (define @t160 () (tptp.subset_complement @t1 @t21)) % 27.73/27.90 (define @t161 () (tptp.disjoint @t2 @t21)) % 27.73/27.90 (define @t162 () (tptp.relation_dom @t79)) % 27.73/27.90 (define @t163 () (not @t48)) % 27.73/27.90 (define @t164 () (tptp.element @t2 @t124)) % 27.73/27.90 (define @t165 () (tptp.in @t21 @t19)) % 27.73/27.90 (define @t166 () (= @t20 @t153)) % 27.73/27.90 (define @t167 () (tptp.in @t21 @t73)) % 27.73/27.90 (define @t168 () (and @t167 @t166)) % 27.73/27.90 (define @t169 () (= @t21 (tptp.apply @t1 @t20))) % 27.73/27.90 (define @t170 () (tptp.in @t20 @t66)) % 27.73/27.90 (define @t171 () (and @t170 @t169)) % 27.73/27.90 (define @t172 () (and (=> @t168 @t171) (=> @t171 @t168))) % 27.73/27.90 (define @t173 () (forall @t25 @t172)) % 27.73/27.90 (define @t174 () (and (= @t129 @t73) @t173)) % 27.73/27.90 (define @t175 () (= @t2 @t84)) % 27.73/27.90 (define @t176 () (= @t175 @t174)) % 27.73/27.90 (define @t177 () (=> @t144 @t176)) % 27.73/27.90 (define @t178 () (forall @t47 @t177)) % 27.73/27.90 (define @t179 () (=> @t13 @t178)) % 27.73/27.90 (define @t180 () (=> @t69 @t179)) % 27.73/27.90 (define @t181 () (forall @t11 @t180)) % 27.73/27.90 (define @t182 () (tptp.function_inverse @t2)) % 27.73/27.90 (define @t183 () (and (= @t1 (tptp.apply @t2 (tptp.apply @t182 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t182 @t2) @t1)))) % 27.73/27.90 (define @t184 () (tptp.in @t1 @t119)) % 27.73/27.90 (define @t185 () (tptp.one_to_one @t2)) % 27.73/27.90 (define @t186 () (and @t185 @t184)) % 27.73/27.90 (define @t187 () (=> @t186 @t183)) % 27.73/27.90 (define @t188 () (forall @t6 (=> @t144 @t187))) % 27.73/27.90 (define @t189 () (not @t188)) % 27.73/27.90 (define @t190 () (= @t73 tptp.empty_set)) % 27.73/27.90 (define @t191 () (= @t66 tptp.empty_set)) % 27.73/27.90 (define @t192 () (tptp.relation_dom_restriction @t2 @t1)) % 27.73/27.90 (define @t193 () (= @t55 (tptp.unordered_pair @t2 @t21))) % 27.73/27.90 (define @t194 () (not @t184)) % 27.73/27.90 (define @t195 () (not @t185)) % 27.73/27.90 (define @t196 () (not @t102)) % 27.73/27.90 (define @t197 () (not @t28)) % 27.73/27.90 (define @t198 () (or @t197 @t196 @t195 @t194 @t183)) % 27.73/27.90 (define @t199 () (or @t195 @t194 @t183)) % 27.73/27.90 (define @t200 () (or @t197 @t196)) % 27.73/27.90 (define @t201 () (not @t144)) % 27.73/27.90 (define @t202 () (forall @t6 @t198)) % 27.73/27.90 (define @t203 () (@quantifiers_skolemize @t202 0)) % 27.73/27.90 (define @t204 () (@quantifiers_skolemize @t202 1)) % 27.73/27.90 (define @t205 () (tptp.function_inverse @t204)) % 27.73/27.90 (define @t206 () (= @t203 (tptp.apply (tptp.relation_composition @t205 @t204) @t203))) % 27.73/27.90 (define @t207 () (= @t203 (tptp.apply @t204 (tptp.apply @t205 @t203)))) % 27.73/27.90 (define @t208 () (and @t207 @t206)) % 27.73/27.90 (define @t209 () (tptp.relation_rng @t204)) % 27.73/27.90 (define @t210 () (tptp.in @t203 @t209)) % 27.73/27.90 (define @t211 () (not @t210)) % 27.73/27.90 (define @t212 () (tptp.one_to_one @t204)) % 27.73/27.90 (define @t213 () (not @t212)) % 27.73/27.90 (define @t214 () (tptp.function @t204)) % 27.73/27.90 (define @t215 () (not @t214)) % 27.73/27.90 (define @t216 () (tptp.relation @t204)) % 27.73/27.90 (define @t217 () (not @t216)) % 27.73/27.90 (define @t218 () (or @t217 @t215 @t213 @t211 @t208)) % 27.73/27.90 (define @t219 () (@list true)) % 27.73/27.90 (define @t220 () (@list @t218)) % 27.73/27.90 (define @t221 () (= @t77 @t84)) % 27.73/27.90 (define @t222 () (not @t13)) % 27.73/27.90 (define @t223 () (not @t9)) % 27.73/27.90 (define @t224 () (not @t12)) % 27.73/27.90 (define @t225 () (or @t224 @t223 @t222 @t221)) % 27.73/27.90 (define @t226 () (or @t224 @t223)) % 27.73/27.90 (define @t227 () (=> @t13 @t221)) % 27.73/27.90 (define @t228 () (not @t69)) % 27.73/27.90 (define @t229 () (tptp.relation_inverse @t204)) % 27.73/27.90 (define @t230 () (or @t217 @t215 @t213 (= @t229 @t205))) % 27.73/27.90 (define @t231 () (forall @t11 @t225)) % 27.73/27.90 (define @t232 () (@list @t204)) % 27.73/27.90 (define @t233 () (= @t205 @t229)) % 27.73/27.90 (define @t234 () (or @t217 @t215 @t213 @t233)) % 27.73/27.90 (define @t235 () (@list false)) % 27.73/27.90 (define @t236 () (@list false false false false)) % 27.73/27.90 (define @t237 () (tptp.relation_composition @t229 @t204)) % 27.73/27.90 (define @t238 () (tptp.apply @t237 @t203)) % 27.73/27.90 (define @t239 () (@var "BOUND_VARIABLE_9741" $$unsorted)) % 27.73/27.90 (define @t240 () (= (tptp.apply (tptp.relation_composition @t2 @t239) @t1) (tptp.apply @t239 @t145))) % 27.73/27.90 (define @t241 () (not (tptp.function @t239))) % 27.73/27.90 (define @t242 () (not (tptp.relation @t239))) % 27.73/27.90 (define @t243 () (not @t147)) % 27.73/27.90 (define @t244 () (or @t242 @t241 @t240)) % 27.73/27.90 (define @t245 () (or @t197 @t196 @t243 @t244)) % 27.73/27.90 (define @t246 () (forall (@list @t1 @t2 @t239) @t245)) % 27.73/27.90 (define @t247 () (@list @t239)) % 27.73/27.90 (define @t248 () (forall @t247 @t245)) % 27.73/27.90 (define @t249 () (forall @t247 @t244)) % 27.73/27.90 (define @t250 () (or @t197 @t196 @t243 @t249)) % 27.73/27.90 (define @t251 () (not @t142)) % 27.73/27.90 (define @t252 () (not @t38)) % 27.73/27.90 (define @t253 () (or @t252 @t251 @t146)) % 27.73/27.90 (define @t254 () (forall @t42 @t253)) % 27.73/27.90 (define @t255 () (or @t197 @t196 @t243 @t254)) % 27.73/27.90 (define @t256 () (or @t243 @t254)) % 27.73/27.90 (define @t257 () (or @t243 @t253)) % 27.73/27.90 (define @t258 () (or @t252 @t251 @t243 @t146)) % 27.73/27.90 (define @t259 () (tptp.relation_dom @t204)) % 27.73/27.90 (define @t260 () (tptp.relation_dom @t229)) % 27.73/27.90 (define @t261 () (= @t209 @t260)) % 27.73/27.90 (define @t262 () (and @t261 (= @t259 (tptp.relation_rng @t229)))) % 27.73/27.90 (define @t263 () (or @t217 @t262)) % 27.73/27.90 (define @t264 () (@list false false)) % 27.73/27.90 (define @t265 () (tptp.in @t203 @t260)) % 27.73/27.90 (define @t266 () (or @t224 @t223 @t222)) % 27.73/27.90 (define @t267 () (tptp.function @t229)) % 27.73/27.90 (define @t268 () (tptp.relation @t229)) % 27.73/27.90 (define @t269 () (and @t268 @t267)) % 27.73/27.90 (define @t270 () (or @t217 @t215 @t213 @t269)) % 27.73/27.90 (define @t271 () (or @t217 @t268)) % 27.73/27.90 (define @t272 () (tptp.apply @t229 @t203)) % 27.73/27.90 (define @t273 () (tptp.apply @t204 @t272)) % 27.73/27.90 (define @t274 () (= @t238 @t273)) % 27.73/27.90 (define @t275 () (not @t265)) % 27.73/27.90 (define @t276 () (not @t267)) % 27.73/27.90 (define @t277 () (not @t268)) % 27.73/27.90 (define @t278 () (or @t277 @t276 @t275 @t217 @t215 @t274)) % 27.73/27.90 (define @t279 () (@list false false false false false false)) % 27.73/27.90 (define @t280 () (@var "BOUND_VARIABLE_10238" $$unsorted)) % 27.73/27.90 (define @t281 () (@var "BOUND_VARIABLE_10185" $$unsorted)) % 27.73/27.90 (define @t282 () (tptp.apply @t1 @t281)) % 27.73/27.90 (define @t283 () (tptp.in @t282 @t73)) % 27.73/27.90 (define @t284 () (not (tptp.in @t281 @t66))) % 27.73/27.90 (define @t285 () (@list @t281)) % 27.73/27.90 (define @t286 () (@var "BOUND_VARIABLE_10167" $$unsorted)) % 27.73/27.90 (define @t287 () (tptp.apply @t280 @t286)) % 27.73/27.90 (define @t288 () (not (tptp.in @t286 @t73))) % 27.73/27.90 (define @t289 () (@list @t286)) % 27.73/27.90 (define @t290 () (and (= @t73 (tptp.relation_dom @t280)) (forall @t289 (or @t288 (and (tptp.in @t287 @t66) (= @t286 (tptp.apply @t1 @t287))))) (forall @t285 (or @t284 (and @t283 (= @t281 (tptp.apply @t280 @t282))))))) % 27.73/27.90 (define @t291 () (= @t280 @t84)) % 27.73/27.90 (define @t292 () (not (tptp.function @t280))) % 27.73/27.90 (define @t293 () (not (tptp.relation @t280))) % 27.73/27.90 (define @t294 () (= @t291 @t290)) % 27.73/27.90 (define @t295 () (or @t224 @t223 @t222 @t293 @t292 @t294)) % 27.73/27.90 (define @t296 () (or @t293 @t292 @t294)) % 27.73/27.90 (define @t297 () (or @t224 @t223 @t222 @t296)) % 27.73/27.90 (define @t298 () (@list @t1 @t280)) % 27.73/27.90 (define @t299 () (forall @t298 @t297)) % 27.73/27.90 (define @t300 () (@list @t280)) % 27.73/27.90 (define @t301 () (forall @t300 @t297)) % 27.73/27.90 (define @t302 () (forall @t300 @t296)) % 27.73/27.90 (define @t303 () (or @t224 @t223 @t222 @t302)) % 27.73/27.90 (define @t304 () (and @t283 (= @t281 (tptp.apply @t2 @t282)))) % 27.73/27.90 (define @t305 () (or @t284 @t304)) % 27.73/27.90 (define @t306 () (forall @t285 @t305)) % 27.73/27.90 (define @t307 () (tptp.apply @t2 @t286)) % 27.73/27.90 (define @t308 () (and (tptp.in @t307 @t66) (= @t286 (tptp.apply @t1 @t307)))) % 27.73/27.90 (define @t309 () (or @t288 @t308)) % 27.73/27.90 (define @t310 () (forall @t289 @t309)) % 27.73/27.90 (define @t311 () (= @t73 @t129)) % 27.73/27.90 (define @t312 () (and @t311 @t310 @t306)) % 27.73/27.90 (define @t313 () (= @t175 @t312)) % 27.73/27.90 (define @t314 () (or @t197 @t196 @t313)) % 27.73/27.90 (define @t315 () (forall @t47 @t314)) % 27.73/27.90 (define @t316 () (or @t224 @t223 @t222 @t315)) % 27.73/27.90 (define @t317 () (=> @t13 @t315)) % 27.73/27.90 (define @t318 () (not (= @t282 @t282))) % 27.73/27.90 (define @t319 () (or @t284 @t318 @t304)) % 27.73/27.90 (define @t320 () (@var "BOUND_VARIABLE_10183" $$unsorted)) % 27.73/27.90 (define @t321 () (and (tptp.in @t320 @t73) (= @t281 (tptp.apply @t2 @t320)))) % 27.73/27.90 (define @t322 () (not (= @t320 @t282))) % 27.73/27.90 (define @t323 () (or @t322 @t284 @t322 @t321)) % 27.73/27.90 (define @t324 () (@list @t320)) % 27.73/27.90 (define @t325 () (or @t284 @t322 @t321)) % 27.73/27.90 (define @t326 () (forall @t324 @t325)) % 27.73/27.90 (define @t327 () (forall @t285 @t326)) % 27.73/27.90 (define @t328 () (forall (@list @t281 @t320) @t325)) % 27.73/27.90 (define @t329 () (forall (@list @t320 @t281) @t325)) % 27.73/27.90 (define @t330 () (not (= @t307 @t307))) % 27.73/27.90 (define @t331 () (or @t288 @t330 @t308)) % 27.73/27.90 (define @t332 () (@var "BOUND_VARIABLE_10169" $$unsorted)) % 27.73/27.90 (define @t333 () (and (tptp.in @t332 @t66) (= @t286 (tptp.apply @t1 @t332)))) % 27.73/27.90 (define @t334 () (not (= @t332 @t307))) % 27.73/27.90 (define @t335 () (or @t334 @t288 @t334 @t333)) % 27.73/27.90 (define @t336 () (@list @t332)) % 27.73/27.90 (define @t337 () (or @t288 @t334 @t333)) % 27.73/27.90 (define @t338 () (forall @t336 @t337)) % 27.73/27.90 (define @t339 () (forall @t289 @t338)) % 27.73/27.90 (define @t340 () (forall (@list @t286 @t332) @t337)) % 27.73/27.90 (define @t341 () (not @t169)) % 27.73/27.90 (define @t342 () (not @t170)) % 27.73/27.90 (define @t343 () (or @t342 @t341 @t168)) % 27.73/27.90 (define @t344 () (forall @t25 @t343)) % 27.73/27.90 (define @t345 () (@list @t21 @t20)) % 27.73/27.90 (define @t346 () (not @t166)) % 27.73/27.90 (define @t347 () (not @t167)) % 27.73/27.90 (define @t348 () (or @t347 @t346 @t171)) % 27.73/27.90 (define @t349 () (forall @t25 @t348)) % 27.73/27.90 (define @t350 () (and @t349 @t344)) % 27.73/27.90 (define @t351 () (tptp.apply @t204 @t281)) % 27.73/27.90 (define @t352 () (tptp.apply @t229 @t286)) % 27.73/27.90 (define @t353 () (forall @t289 (or (not (tptp.in @t286 @t209)) (and (tptp.in @t352 @t259) (= @t286 (tptp.apply @t204 @t352)))))) % 27.73/27.90 (define @t354 () (and @t261 @t353 (forall @t285 (or (not (tptp.in @t281 @t259)) (and (tptp.in @t351 @t209) (= @t281 (tptp.apply @t229 @t351))))))) % 27.73/27.90 (define @t355 () (or @t217 @t215 @t213 @t277 @t276 (= @t354 @t233))) % 27.73/27.90 (define @t356 () (forall @t298 (or @t224 @t223 @t222 @t293 @t292 (= @t290 (= @t84 @t280))))) % 27.73/27.90 (define @t357 () (= @t233 @t354)) % 27.73/27.90 (define @t358 () (or @t217 @t215 @t213 @t277 @t276 @t357)) % 27.73/27.90 (define @t359 () (= @t203 @t273)) % 27.73/27.90 (define @t360 () (and (tptp.in @t272 @t259) @t359)) % 27.73/27.90 (define @t361 () (or @t211 @t360)) % 27.73/27.90 (assume @p1 (forall @t6 (=> @t5 @t4))) % 27.73/27.90 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 27.73/27.90 (assume @p3 (forall @t11 (=> @t10 @t9))) % 27.73/27.90 (assume @p4 (forall @t11 (=> @t10 @t12))) % 27.73/27.90 (assume @p5 (forall @t11 (=> @t15 @t14))) % 27.73/27.90 (assume @p6 (forall @t6 (= @t16 (tptp.unordered_pair @t2 @t1)))) % 27.73/27.90 (assume @p7 (forall @t6 (= @t18 @t17))) % 27.73/27.90 (assume @p8 (forall @t6 (= @t19 (tptp.set_intersection2 @t2 @t1)))) % 27.73/27.90 (assume @p9 (forall @t6 (=> @t28 (= @t27 (forall @t25 (= @t24 (and @t22 (= @t21 @t20)))))))) % 27.73/27.90 (assume @p10 (forall @t6 (= @t30 (and @t29 (tptp.subset @t2 @t1))))) % 27.73/27.90 (assume @p11 (forall @t11 (=> @t12 (forall @t39 (=> @t38 (= (= @t21 @t37) (forall @t36 (= @t35 (and @t34 @t33))))))))) % 27.73/27.90 (assume @p12 (forall @t6 (=> @t28 (forall @t42 (=> @t38 (= (= @t21 @t41) (forall @t36 (= @t35 (and @t40 (tptp.in @t32 @t2)))))))))) % 27.73/27.90 (assume @p13 (forall @t11 (=> @t12 (forall @t39 (= (= @t21 (tptp.relation_image @t1 @t2)) (forall @t46 (= @t45 (exists @t44 (and (tptp.in (tptp.ordered_pair @t31 @t20) @t1) @t43))))))))) % 27.73/27.90 (assume @p14 (forall @t11 (=> @t12 (forall @t39 (= (= @t21 (tptp.relation_inverse_image @t1 @t2)) (forall @t46 (= @t45 (exists @t44 (and @t33 @t43))))))))) % 27.73/27.90 (assume @p15 (forall @t11 (= @t12 (forall @t47 (not (and @t3 (forall @t25 (not (= @t2 @t23))))))))) % 27.73/27.90 (assume @p16 (forall @t6 (and (=> @t54 (= @t49 (forall @t42 (= @t53 (forall @t46 (=> @t52 @t51)))))) (=> @t50 (= @t49 @t48))))) % 27.73/27.90 (assume @p17 (forall @t6 (= (= @t2 @t55) (forall @t42 (= @t53 (= @t21 @t1)))))) % 27.73/27.90 (assume @p18 (forall @t11 (= @t50 (forall @t47 @t4)))) % 27.73/27.90 (assume @p19 (forall @t6 (= (= @t2 @t56) (forall @t42 (= @t53 (tptp.subset @t21 @t1)))))) % 27.73/27.90 (assume @p20 (forall @t11 (=> @t12 (forall @t47 (=> @t28 (= @t30 (forall @t25 (= @t57 @t24)))))))) % 27.73/27.90 (assume @p21 (forall @t6 (and (=> @t60 (= @t59 @t3)) (=> @t10 (= @t59 @t58))))) % 27.73/27.90 (assume @p22 (forall @t61 (= (= @t21 @t16) (forall @t46 (= @t45 (or (= @t20 @t1) (= @t20 @t2))))))) % 27.73/27.90 (assume @p23 (forall @t61 (= (= @t21 @t18) (forall @t46 (= @t45 (or @t52 @t34)))))) % 27.73/27.90 (assume @p24 (forall @t61 (= (= @t21 @t63) (forall @t46 (= @t45 (exists (@list @t31 @t62) (and @t40 (tptp.in @t62 @t2) (= @t20 (tptp.ordered_pair @t31 @t62))))))))) % 27.73/27.90 (assume @p25 (forall @t11 (=> @t12 (forall @t47 (=> @t28 (= @t29 (forall @t25 (=> @t57 @t24)))))))) % 27.73/27.90 (assume @p26 (forall @t6 (= @t29 @t64))) % 27.73/27.90 (assume @p27 (forall @t61 (= (= @t21 @t19) (forall @t46 (= @t45 (and @t52 @t34)))))) % 27.73/27.90 (assume @p28 (forall @t11 (=> @t69 (forall @t39 (and (=> @t67 (= @t65 @t68)) (=> (not @t67) (= @t65 (= @t21 tptp.empty_set)))))))) % 27.73/27.90 (assume @p29 (forall @t11 (=> @t12 (forall @t47 (= (= @t2 @t66) (forall @t42 (= @t53 (exists @t46 @t57)))))))) % 27.73/27.90 (assume @p30 (forall @t11 (= @t70 @t1))) % 27.73/27.90 (assume @p31 (forall @t6 (= (= @t2 (tptp.union @t1)) (forall @t42 (= @t53 (exists @t46 (and @t51 @t52))))))) % 27.73/27.90 (assume @p32 (forall @t61 (= (= @t21 @t71) (forall @t46 (= @t45 (and @t52 (not @t34))))))) % 27.73/27.90 (assume @p33 (forall @t11 (=> @t12 (forall @t47 (= (= @t2 @t73) (forall @t42 (= @t53 (exists @t46 @t72)))))))) % 27.73/27.90 (assume @p34 (forall @t6 (=> @t75 (= @t74 @t71)))) % 27.73/27.90 (assume @p35 (forall @t6 (= @t76 (tptp.unordered_pair @t16 @t55)))) % 27.73/27.90 (assume @p36 (forall @t11 (=> @t12 (= (tptp.relation_field @t1) (tptp.set_union2 @t66 @t73))))) % 27.73/27.90 (assume @p37 (forall @t11 (=> @t12 (forall @t47 (=> @t28 (= (= @t2 @t77) (forall @t25 (= @t24 @t72)))))))) % 27.73/27.90 (assume @p38 (forall @t6 (= @t78 (= @t19 tptp.empty_set)))) % 27.73/27.90 (assume @p39 (forall @t11 (=> @t12 (forall @t47 (=> @t28 (forall @t42 (=> @t38 (= (= @t21 @t79) (forall @t36 (= @t35 (exists (@list @t62) (and (tptp.in (tptp.ordered_pair @t20 @t62) @t1) (tptp.in (tptp.ordered_pair @t62 @t31) @t2))))))))))))) % 27.73/27.90 (assume @p40 (forall @t6 (=> @t82 (forall @t42 (=> (tptp.element @t21 @t81) (= (= @t21 @t80) (forall @t46 (=> (tptp.element @t20 @t56) (= @t45 (tptp.in (tptp.subset_complement @t1 @t20) @t2)))))))))) % 27.73/27.90 (assume @p41 (forall @t6 (= @t8 (and @t29 @t83)))) % 27.73/27.90 (assume @p42 @t87) % 27.73/27.90 (assume @p43 true) % 27.73/27.90 (assume @p44 (forall @t11 (=> @t69 (and (tptp.relation @t84) (tptp.function @t84))))) % 27.73/27.90 (assume @p45 (forall @t11 (tptp.element @t70 @t56))) % 27.73/27.90 (assume @p46 (forall @t6 (=> @t75 (tptp.element @t74 @t56)))) % 27.73/27.90 (assume @p47 @t89) % 27.73/27.90 (assume @p48 (forall @t6 (=> @t91 @t90))) % 27.73/27.90 (assume @p49 (forall @t6 (=> @t82 (tptp.element @t92 @t56)))) % 27.73/27.90 (assume @p50 (forall @t11 @t93)) % 27.73/27.90 (assume @p51 (forall @t6 (=> @t82 (tptp.element @t94 @t56)))) % 27.73/27.90 (assume @p52 (forall @t61 (=> @t97 (tptp.element @t95 @t56)))) % 27.73/27.90 (assume @p53 (forall @t6 (=> @t12 (tptp.relation @t37)))) % 27.73/27.90 (assume @p54 (forall @t6 (=> @t82 (tptp.element @t80 @t81)))) % 27.73/27.90 (assume @p55 (forall @t6 (=> @t28 (tptp.relation @t41)))) % 27.73/27.90 (assume @p56 (forall @t11 (exists @t47 @t59))) % 27.73/27.90 (assume @p57 (forall @t6 (=> @t99 (and (tptp.empty @t98) (tptp.relation @t98))))) % 27.73/27.90 (assume @p58 (forall @t11 (=> @t10 (and (tptp.empty @t77) @t88)))) % 27.73/27.90 (assume @p59 (and @t101 @t100 (tptp.relation_empty_yielding tptp.empty_set))) % 27.73/27.90 (assume @p60 (forall @t6 (=> (and @t12 @t9 @t28 @t102) (and @t90 (tptp.function @t79))))) % 27.73/27.90 (assume @p61 (forall @t6 (=> @t91 (tptp.relation @t19)))) % 27.73/27.90 (assume @p62 (forall @t11 (not (tptp.empty @t56)))) % 27.73/27.90 (assume @p63 @t101) % 27.73/27.90 (assume @p64 (forall @t6 (not (tptp.empty @t76)))) % 27.73/27.90 (assume @p65 (forall @t11 (and @t93 (tptp.function @t26)))) % 27.73/27.90 (assume @p66 (forall @t6 (=> @t91 (tptp.relation @t18)))) % 27.73/27.90 (assume @p67 (forall @t11 (not (tptp.empty @t55)))) % 27.73/27.90 (assume @p68 (forall @t6 (=> @t60 (not (tptp.empty @t18))))) % 27.73/27.90 (assume @p69 @t104) % 27.73/27.90 (assume @p70 (forall @t6 (not (tptp.empty @t16)))) % 27.73/27.90 (assume @p71 (forall @t6 (=> @t60 (not (tptp.empty @t17))))) % 27.73/27.90 (assume @p72 (and @t101 @t100)) % 27.73/27.90 (assume @p73 (forall @t6 (=> (and @t60 @t105) (not (tptp.empty @t63))))) % 27.73/27.90 (assume @p74 (forall @t11 (=> @t107 (not @t106)))) % 27.73/27.90 (assume @p75 (forall @t11 (=> @t107 (not @t108)))) % 27.73/27.90 (assume @p76 (forall @t11 (=> @t10 (and @t106 (tptp.relation @t66))))) % 27.73/27.90 (assume @p77 (forall @t11 (=> @t10 (and @t108 (tptp.relation @t73))))) % 27.73/27.90 (assume @p78 (forall @t6 (=> @t99 (and (tptp.empty @t79) @t90)))) % 27.73/27.90 (assume @p79 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 27.73/27.90 (assume @p80 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 27.73/27.90 (assume @p81 (forall @t6 (=> @t75 (= (tptp.subset_complement @t1 @t74) @t2)))) % 27.73/27.90 (assume @p82 (forall @t11 (=> @t12 (= (tptp.relation_inverse @t77) @t1)))) % 27.73/27.90 (assume @p83 (forall @t6 (=> @t82 (= (tptp.complements_of_subsets @t1 @t80) @t2)))) % 27.73/27.90 (assume @p84 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 27.73/27.90 (assume @p85 (forall @t11 (not (= @t55 tptp.empty_set)))) % 27.73/27.90 (assume @p86 (forall @t6 (=> @t5 (= (tptp.set_union2 @t55 @t2) @t2)))) % 27.73/27.90 (assume @p87 (forall @t6 (not (and @t109 @t5)))) % 27.73/27.90 (assume @p88 (forall @t6 (=> (not @t5) @t109))) % 27.73/27.90 (assume @p89 (forall @t6 (= (tptp.subset @t55 @t2) @t5))) % 27.73/27.90 (assume @p90 (forall @t6 (= (= @t71 tptp.empty_set) @t29))) % 27.73/27.90 (assume @p91 (forall @t6 (=> @t75 (forall @t42 (=> @t53 @t22))))) % 27.73/27.90 (assume @p92 (forall @t61 (=> @t29 (or @t22 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t21))))))) % 27.73/27.90 (assume @p93 (forall @t6 (= (tptp.subset @t1 @t110) (or @t50 (= @t1 @t110))))) % 27.73/27.90 (assume @p94 (forall @t6 (=> @t5 (tptp.subset @t1 @t111)))) % 27.73/27.90 (assume @p95 (forall @t113 (= (tptp.in @t76 (tptp.cartesian_product2 @t21 @t20)) (and @t112 (tptp.in @t2 @t20))))) % 27.73/27.90 (assume @p96 (forall @t6 (=> @t64 @t114))) % 27.73/27.90 (assume @p97 (exists @t11 @t69)) % 27.73/27.90 (assume @p98 (exists @t11 (and @t10 @t12))) % 27.73/27.90 (assume @p99 (forall @t11 (=> @t60 (exists @t47 (and @t75 @t105))))) % 27.73/27.90 (assume @p100 (exists @t11 @t10)) % 27.73/27.90 (assume @p101 (exists @t11 @t15)) % 27.73/27.90 (assume @p102 (exists @t11 @t107)) % 27.73/27.90 (assume @p103 (forall @t11 (exists @t47 (and @t75 @t58)))) % 27.73/27.90 (assume @p104 (exists @t11 @t60)) % 27.73/27.90 (assume @p105 (exists @t11 @t14)) % 27.73/27.90 (assume @p106 (exists @t11 (and @t12 (tptp.relation_empty_yielding @t1)))) % 27.73/27.90 (assume @p107 (forall @t6 (=> @t82 (= @t92 @t111)))) % 27.73/27.90 (assume @p108 (forall @t6 (=> @t82 (= @t94 (tptp.set_meet @t2))))) % 27.73/27.90 (assume @p109 (forall @t61 (=> @t97 (= @t95 @t115)))) % 27.73/27.90 (assume @p110 (forall @t6 (tptp.subset @t1 @t1))) % 27.73/27.90 (assume @p111 (forall @t6 (=> @t78 (tptp.disjoint @t2 @t1)))) % 27.73/27.90 (assume @p112 (forall @t113 (not (and (= @t16 (tptp.unordered_pair @t21 @t20)) (not @t116) (not (= @t1 @t20)))))) % 27.73/27.90 (assume @p113 (forall @t61 (=> @t38 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t21))) (and @t5 (tptp.in @t1 @t117)))))) % 27.73/27.90 (assume @p114 (forall @t6 (=> @t28 (tptp.subset @t118 @t1)))) % 27.73/27.90 (assume @p115 (forall @t6 (=> @t28 (tptp.subset @t41 @t2)))) % 27.73/27.90 (assume @p116 (forall @t6 (=> @t28 (tptp.subset @t118 @t119)))) % 27.73/27.90 (assume @p117 (forall @t61 (=> @t29 (and (tptp.subset @t120 (tptp.cartesian_product2 @t2 @t21)) (tptp.subset (tptp.cartesian_product2 @t21 @t1) (tptp.cartesian_product2 @t21 @t2)))))) % 27.73/27.90 (assume @p118 (forall @t6 (=> @t28 (= @t118 (tptp.set_intersection2 @t119 @t1))))) % 27.73/27.90 (assume @p119 (forall @t113 (=> (and @t29 (tptp.subset @t21 @t20)) (tptp.subset @t120 (tptp.cartesian_product2 @t2 @t20))))) % 27.73/27.90 (assume @p120 (forall @t6 (=> @t29 (= @t18 @t2)))) % 27.73/27.90 (assume @p121 (forall @t11 (exists @t47 (and @t5 @t125 (forall @t42 (=> @t53 (tptp.in @t124 @t2))) @t123)))) % 27.73/27.90 (assume @p122 (forall @t61 (=> @t38 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t21) @t2) (tptp.relation_rng_restriction @t1 @t126))))) % 27.73/27.90 (assume @p123 (forall @t61 (=> @t38 (= (tptp.in @t1 (tptp.relation_image @t21 @t2)) (exists @t46 (and (tptp.in @t20 @t127) (tptp.in (tptp.ordered_pair @t20 @t1) @t21) @t34)))))) % 27.73/27.90 (assume @p124 (forall @t6 (=> @t28 (tptp.subset @t128 @t119)))) % 27.73/27.90 (assume @p125 (forall @t6 (=> @t28 (= @t128 (tptp.relation_image @t2 @t130))))) % 27.73/27.90 (assume @p126 (forall @t11 (=> @t12 (= (tptp.relation_image @t1 @t66) @t73)))) % 27.73/27.90 (assume @p127 (forall @t11 (=> @t12 (forall @t47 (=> @t28 (= @t131 (tptp.relation_image @t2 @t73))))))) % 27.73/27.90 (assume @p128 (forall @t61 (=> @t38 (= (tptp.in @t1 @t132) (exists @t46 (and (tptp.in @t20 @t117) (tptp.in (tptp.ordered_pair @t1 @t20) @t21) @t34)))))) % 27.73/27.90 (assume @p129 (forall @t6 (=> @t28 (tptp.subset @t133 @t129)))) % 27.73/27.90 (assume @p130 (forall @t6 (=> @t28 (not (and @t54 (tptp.subset @t1 @t119) (= @t133 tptp.empty_set)))))) % 27.73/27.90 (assume @p131 (forall @t61 (=> @t38 (=> @t29 (tptp.subset (tptp.relation_inverse_image @t21 @t1) @t132))))) % 27.73/27.90 (assume @p132 (forall @t6 (tptp.subset @t19 @t1))) % 27.73/27.90 (assume @p133 (forall @t61 (=> (and @t29 @t135) (tptp.subset @t1 @t134)))) % 27.73/27.90 (assume @p134 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 27.73/27.90 (assume @p135 (forall @t6 (=> @t5 @t136))) % 27.73/27.90 (assume @p136 (forall @t61 (=> (and @t29 (tptp.subset @t2 @t21)) @t135))) % 27.73/27.90 (assume @p137 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 27.73/27.90 (assume @p138 (forall @t61 (=> @t38 (=> @t138 (and @t137 (tptp.in @t2 @t117)))))) % 27.73/27.90 (assume @p139 (forall @t6 (=> @t144 (forall @t42 (=> @t143 (= @t141 (and @t137 (tptp.in @t139 @t129)))))))) % 27.73/27.90 (assume @p140 (forall @t11 (=> @t12 (tptp.subset @t1 (tptp.cartesian_product2 @t66 @t73))))) % 27.73/27.90 (assume @p141 (forall @t6 (=> @t144 (forall @t42 (=> @t143 (=> @t141 (= (tptp.apply @t140 @t1) (tptp.apply @t2 @t139)))))))) % 27.73/27.90 (assume @p142 @t151) % 27.73/27.90 (assume @p143 (forall @t11 (=> @t12 (forall @t47 (=> @t28 (=> @t29 (and (tptp.subset @t66 @t129) (tptp.subset @t73 @t119)))))))) % 27.73/27.90 (assume @p144 (forall @t61 (=> @t29 (tptp.subset (tptp.set_intersection2 @t1 @t21) @t134)))) % 27.73/27.90 (assume @p145 (forall @t6 (=> @t29 (= @t19 @t1)))) % 27.73/27.90 (assume @p146 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 27.73/27.90 (assume @p147 (forall @t6 (=> @t136 (or @t58 @t5)))) % 27.73/27.90 (assume @p148 (forall @t6 (=> (forall @t42 (= @t22 @t53)) @t30))) % 27.73/27.90 (assume @p149 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 27.73/27.90 (assume @p150 (forall @t61 (=> @t38 (=> @t138 (and (tptp.in @t1 @t152) (tptp.in @t2 @t152)))))) % 27.73/27.90 (assume @p151 (forall @t61 (=> @t29 (tptp.subset (tptp.set_difference @t1 @t21) @t115)))) % 27.73/27.90 (assume @p152 (forall @t113 (=> (= @t76 @t23) (and @t116 (= @t2 @t20))))) % 27.73/27.90 (assume @p153 (forall @t6 (=> @t144 (= @t27 (and (= @t129 @t1) (forall @t42 (=> @t22 (= @t153 @t21)))))))) % 27.73/27.90 (assume @p154 (forall @t6 (=> @t3 (= (tptp.apply @t26 @t2) @t2)))) % 27.73/27.90 (assume @p155 (forall @t6 (tptp.subset @t71 @t1))) % 27.73/27.90 (assume @p156 @t155) % 27.73/27.90 (assume @p157 (forall @t61 (= (tptp.subset @t16 @t21) (and @t112 @t156)))) % 27.73/27.90 (assume @p158 (forall @t6 (= @t157 @t18))) % 27.73/27.90 (assume @p159 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 27.73/27.90 (assume @p160 (forall @t6 (= @t114 @t29))) % 27.73/27.90 (assume @p161 (forall @t6 (and (not (and @t159 (forall @t42 (not @t158)))) (not (and (exists @t42 @t158) @t78))))) % 27.73/27.90 (assume @p162 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t50))) % 27.73/27.90 (assume @p163 (forall @t6 (= (tptp.set_difference @t18 @t2) @t71))) % 27.73/27.90 (assume @p164 (forall @t6 (=> @t75 (forall @t42 (=> @t96 (= @t161 (tptp.subset @t2 @t160))))))) % 27.73/27.90 (assume @p165 (forall @t11 (=> @t12 (forall @t47 (=> @t28 (tptp.subset @t162 @t66)))))) % 27.73/27.90 (assume @p166 (forall @t11 (=> @t12 (forall @t47 (=> @t28 (tptp.subset @t131 @t119)))))) % 27.73/27.90 (assume @p167 (forall @t6 (=> @t29 (= @t2 @t157)))) % 27.73/27.90 (assume @p168 (forall @t11 (=> @t12 (forall @t47 (=> @t28 (=> (tptp.subset @t73 @t129) (= @t162 @t66))))))) % 27.73/27.90 (assume @p169 (forall @t6 (=> @t82 (not (and @t163 (= @t80 tptp.empty_set)))))) % 27.73/27.90 (assume @p170 (forall @t11 (=> @t12 (forall @t47 (=> @t28 (=> (tptp.subset @t66 @t119) (= (tptp.relation_rng @t98) @t73))))))) % 27.73/27.90 (assume @p171 (forall @t6 (=> @t82 (=> @t163 (= (tptp.subset_difference @t1 @t70 @t92) (tptp.meet_of_subsets @t1 @t80)))))) % 27.73/27.90 (assume @p172 (forall @t6 (=> @t82 (=> @t163 (= (tptp.union_of_subsets @t1 @t80) (tptp.subset_difference @t1 @t70 @t94)))))) % 27.73/27.90 (assume @p173 (forall @t6 (= (tptp.set_difference @t1 @t71) @t19))) % 27.73/27.90 (assume @p174 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 27.73/27.90 (assume @p175 (forall @t61 (=> (and @t5 @t164) (tptp.element @t1 @t21)))) % 27.73/27.90 (assume @p176 (forall @t6 (and (not (and @t159 (forall @t42 (not @t165)))) (not (and (exists @t42 @t165) @t78))))) % 27.73/27.90 (assume @p177 (forall @t11 (=> @t54 (forall @t47 (=> @t75 (forall @t42 (=> (tptp.element @t21 @t1) (=> @t121 (tptp.in @t21 @t74))))))))) % 27.73/27.90 (assume @p178 @t181) % 27.73/27.90 (assume @p179 (forall @t61 (=> @t96 (not (and (tptp.in @t2 @t160) @t156))))) % 27.73/27.90 (assume @p180 (forall @t11 (=> @t69 (=> @t13 (and (= @t73 (tptp.relation_dom @t84)) (= @t66 (tptp.relation_rng @t84))))))) % 27.73/27.90 (assume @p181 (forall @t11 (=> @t12 (=> (forall @t39 (not @t68)) @t50)))) % 27.73/27.90 (assume @p182 @t189) % 27.73/27.90 (assume @p183 (forall @t61 (not (and @t5 @t164 (tptp.empty @t21))))) % 27.73/27.90 (assume @p184 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 27.73/27.90 (assume @p185 (forall @t6 (not (and @t29 @t7)))) % 27.73/27.90 (assume @p186 (forall @t61 (=> (and @t29 @t161) (tptp.disjoint @t1 @t21)))) % 27.73/27.90 (assume @p187 (forall @t11 (=> @t12 (=> (or @t191 @t190) @t50)))) % 27.73/27.90 (assume @p188 (forall @t11 (=> @t12 (= @t191 @t190)))) % 27.73/27.90 (assume @p189 (forall @t6 (= (= (tptp.set_difference @t1 @t110) @t1) @t4))) % 27.73/27.90 (assume @p190 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t55))) % 27.73/27.90 (assume @p191 (forall @t11 (=> @t10 @t50))) % 27.73/27.90 (assume @p192 (forall @t6 (=> (tptp.subset @t55 @t110) @t30))) % 27.73/27.90 (assume @p193 (forall @t11 (and (= (tptp.relation_dom @t26) @t1) (= (tptp.relation_rng @t26) @t1)))) % 27.73/27.90 (assume @p194 (forall @t113 (=> (tptp.relation @t20) (= (tptp.in @t76 (tptp.relation_composition (tptp.identity_relation @t21) @t20)) (and @t112 (tptp.in @t76 @t20)))))) % 27.73/27.90 (assume @p195 (forall @t6 (not (and @t5 @t58)))) % 27.73/27.90 (assume @p196 (forall @t6 (tptp.subset @t1 @t18))) % 27.73/27.90 (assume @p197 (forall @t6 (= @t78 (= @t71 @t1)))) % 27.73/27.90 (assume @p198 (forall @t61 (=> @t38 (= (tptp.in @t1 (tptp.relation_dom @t126)) (and @t5 @t137))))) % 27.73/27.90 (assume @p199 (forall @t6 (=> @t28 (tptp.subset @t192 @t2)))) % 27.73/27.90 (assume @p200 (forall @t6 (not (and @t10 @t83 @t58)))) % 27.73/27.90 (assume @p201 (forall @t61 (=> @t143 (= @t138 (and @t137 (= @t2 @t139)))))) % 27.73/27.90 (assume @p202 (forall @t61 (=> (and @t29 @t122) (tptp.subset (tptp.set_union2 @t1 @t21) @t2)))) % 27.73/27.90 (assume @p203 (forall @t61 (=> @t193 @t30))) % 27.73/27.90 (assume @p204 (forall @t6 (=> @t28 (= (tptp.relation_dom @t192) @t130)))) % 27.73/27.90 (assume @p205 (forall @t6 (=> @t28 (= @t192 (tptp.relation_composition @t26 @t2))))) % 27.73/27.90 (assume @p206 (forall @t6 (=> @t28 (tptp.subset (tptp.relation_rng @t192) @t119)))) % 27.73/27.90 (assume @p207 (forall @t11 (= (tptp.union @t56) @t1))) % 27.73/27.90 (assume @p208 (forall @t11 (exists @t47 (and @t5 @t125 (forall @t42 (not (and @t53 (forall @t46 (not (and @t34 (forall @t44 (=> (tptp.subset @t31 @t21) (tptp.in @t31 @t20))))))))) @t123)))) % 27.73/27.90 (assume @p209 (forall @t61 (=> @t193 (= @t2 @t21)))) % 27.73/27.90 (step @p210 :rule aci_norm :args ((= (or @t200 @t199) @t198))) % 27.73/27.90 (step @p211 :rule aci_norm :args ((= (or (or @t195 @t194) @t183) @t199))) % 27.73/27.90 (step @p212 :rule refl :args (@t183)) % 27.73/27.90 (step @p213 :rule bool-and-de-morgan :args (@t185 @t184 true)) % 27.73/27.90 (step @p214 :rule nary_cong :premises (@p213 @p212) :args ((or (not @t186) @t183))) % 27.73/27.90 (step @p215 :rule trans :premises (@p214 @p211)) % 27.73/27.90 (step @p216 :rule bool-impl-elim :args (@t186 @t183)) % 27.73/27.90 (step @p217 :rule trans :premises (@p216 @p215)) % 27.73/27.90 (step @p218 :rule bool-and-de-morgan :args (@t28 @t102 true)) % 27.73/27.90 (step @p219 :rule nary_cong :premises (@p218 @p217) :args ((or @t201 @t187))) % 27.73/27.90 (step @p220 :rule trans :premises (@p219 @p210)) % 27.73/27.90 (step @p221 :rule bool-impl-elim :args (@t144 @t187)) % 27.73/27.90 (step @p222 :rule trans :premises (@p221 @p220)) % 27.73/27.90 (step @p223 :rule cong :premises (@p222) :args (@t188)) % 27.73/27.90 (step @p224 :rule cong :premises (@p223) :args (@t189)) % 27.73/27.90 (step @p225 :rule eq_resolve :premises (@p182 @p224)) % 27.73/27.90 (step @p226 :rule skolemize :premises (@p225)) % 27.73/27.90 (step @p227 :rule cnf_or_neg :args (@t218 4)) % 27.73/27.90 (step @p228 :rule chain_m_resolution :premises (@p227 @p226) :args ((not @t208) @t219 @t220)) % 27.73/27.90 (step @p229 :rule refl :args (@t203)) % 27.73/27.90 (step @p230 :rule refl :args (@t204)) % 27.73/27.90 (step @p231 :rule aci_norm :args ((= (or @t226 (or @t222 @t221)) @t225))) % 27.73/27.90 (step @p232 :rule bool-impl-elim :args (@t13 @t221)) % 27.73/27.90 (step @p233 :rule bool-and-de-morgan :args (@t12 @t9 true)) % 27.73/27.90 (step @p234 :rule nary_cong :premises (@p233 @p232) :args ((or @t228 @t227))) % 27.73/27.90 (step @p235 :rule trans :premises (@p234 @p231)) % 27.73/27.90 (step @p236 :rule bool-impl-elim :args (@t69 @t227)) % 27.73/27.90 (step @p237 :rule trans :premises (@p236 @p235)) % 27.73/27.90 (step @p238 :rule cong :premises (@p237) :args ((forall @t11 (=> @t69 @t227)))) % 27.73/27.90 (step @p239 :rule eq-symm :args (@t84 @t77)) % 27.73/27.90 (step @p240 :rule refl :args (@t13)) % 27.73/27.90 (step @p241 :rule cong :premises (@p240 @p239) :args (@t85)) % 27.73/27.90 (step @p242 :rule refl :args (@t69)) % 27.73/27.90 (step @p243 :rule cong :premises (@p242 @p241) :args (@t86)) % 27.73/27.90 (step @p244 :rule cong :premises (@p243) :args (@t87)) % 27.73/27.90 (step @p245 :rule trans :premises (@p244 @p238)) % 27.73/27.90 (step @p246 :rule eq_resolve :premises (@p42 @p245)) % 27.73/27.90 (step @p247 :rule eq-symm :args (@t229 @t205)) % 27.73/27.90 (step @p248 :rule refl :args (@t213)) % 27.73/27.90 (step @p249 :rule refl :args (@t215)) % 27.73/27.90 (step @p250 :rule refl :args (@t217)) % 27.73/27.90 (step @p251 :rule nary_cong :premises (@p250 @p249 @p248 @p247) 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aci_norm :args ((= @t337 @t335))) % 27.73/27.90 (step @p453 :rule cong :premises (@p452) :args (@t338)) % 27.73/27.90 (step @p454 :rule trans :premises (@p453 @p451)) % 27.73/27.90 (step @p455 :rule cong :premises (@p454) :args (@t339)) % 27.73/27.90 (step @p456 :rule quant-merge-prenex :args ((= @t339 @t340))) % 27.73/27.90 (step @p457 :rule symm :premises (@p456)) % 27.73/27.90 (step @p458 :rule trans :premises (@p457 @p455)) % 27.73/27.90 (step @p459 :rule trans :premises (@p458 @p450)) % 27.73/27.90 (step @p460 :rule nary_cong :premises (@p459 @p441) :args ((and @t340 @t329))) % 27.73/27.90 (step @p461 :rule alpha_equiv :args (@t344 @t345 (@list @t320 @t281))) % 27.73/27.90 (step @p462 :rule alpha_equiv :args (@t349 @t345 (@list @t286 @t332))) % 27.73/27.90 (step @p463 :rule nary_cong :premises (@p462 @p461) :args (@t350)) % 27.73/27.90 (step @p464 :rule quant-miniscope-and :args ((= (forall @t25 (and @t348 @t343)) @t350))) % 27.73/27.90 (step @p465 :rule trans :premises (@p464 @p463)) % 27.73/27.90 (step @p466 :rule trans :premises (@p465 @p460)) % 27.73/27.90 (step @p467 :rule aci_norm :args ((= (or (or @t342 @t341) @t168) @t343))) % 27.73/27.90 (step @p468 :rule refl :args (@t168)) % 27.73/27.90 (step @p469 :rule bool-and-de-morgan :args (@t170 @t169 true)) % 27.73/27.90 (step @p470 :rule nary_cong :premises (@p469 @p468) :args ((or (not @t171) @t168))) % 27.73/27.90 (step @p471 :rule trans :premises (@p470 @p467)) % 27.73/27.90 (step @p472 :rule bool-impl-elim :args (@t171 @t168)) % 27.73/27.90 (step @p473 :rule trans :premises (@p472 @p471)) % 27.73/27.90 (step @p474 :rule aci_norm :args ((= (or (or @t347 @t346) @t171) @t348))) % 27.73/27.90 (step @p475 :rule refl :args (@t171)) % 27.73/27.90 (step @p476 :rule bool-and-de-morgan :args (@t167 @t166 true)) % 27.73/27.90 (step @p477 :rule nary_cong :premises (@p476 @p475) :args ((or (not @t168) @t171))) % 27.73/27.90 (step @p478 :rule trans :premises (@p477 @p474)) % 27.73/27.90 (step @p479 :rule bool-impl-elim :args (@t168 @t171)) % 27.73/27.90 (step @p480 :rule trans :premises (@p479 @p478)) % 27.73/27.90 (step @p481 :rule nary_cong :premises (@p480 @p473) :args (@t172)) % 27.73/27.90 (step @p482 :rule cong :premises (@p481) :args (@t173)) % 27.73/27.90 (step @p483 :rule trans :premises (@p482 @p466)) % 27.73/27.90 (step @p484 :rule eq-symm :args (@t129 @t73)) % 27.73/27.90 (step @p485 :rule nary_cong :premises (@p484 @p483) :args (@t174)) % 27.73/27.90 (step @p486 :rule trans :premises (@p485 @p421)) % 27.73/27.90 (step @p487 :rule refl :args (@t175)) % 27.73/27.90 (step @p488 :rule cong :premises (@p487 @p486) :args (@t176)) % 27.73/27.90 (step @p489 :rule cong :premises (@p321 @p488) :args (@t177)) % 27.73/27.90 (step @p490 :rule cong :premises (@p489) :args (@t178)) % 27.73/27.90 (step @p491 :rule trans :premises (@p490 @p420)) % 27.73/27.90 (step @p492 :rule cong :premises (@p240 @p491) :args (@t179)) % 27.73/27.90 (step @p493 :rule cong :premises (@p242 @p492) :args (@t180)) % 27.73/27.90 (step @p494 :rule cong :premises (@p493) :args (@t181)) % 27.73/27.90 (step @p495 :rule trans :premises (@p494 @p413)) % 27.73/27.90 (step @p496 :rule eq_resolve :premises (@p178 @p495)) % 27.73/27.90 (step @p497 :rule eq-symm :args (@t354 @t233)) % 27.73/27.90 (step @p498 :rule refl :args (@t276)) % 27.73/27.90 (step @p499 :rule refl :args (@t277)) % 27.73/27.90 (step @p500 :rule nary_cong :premises (@p250 @p249 @p248 @p499 @p498 @p497) :args (@t355)) % 27.73/27.90 (step @p501 :rule refl :args (@t356)) % 27.73/27.90 (step @p502 :rule cong :premises (@p501 @p500) :args ((=> @t356 @t355))) % 27.73/27.90 (assume-push @p534 @t356) % 27.73/27.90 (step @p504 :rule instantiate :premises (@p496) :args ((@list @t204 @t229))) % 27.73/27.90 (step-pop @p535 :rule scope :premises (@p504)) % 27.73/27.90 (step @p505 :rule process_scope :premises (@p535) :args (@t355)) % 27.73/27.90 (step @p507 :rule eq_resolve :premises (@p505 @p502)) % 27.73/27.90 (step @p508 :rule implies_elim :premises (@p507)) % 27.73/27.90 (step @p509 :rule chain_m_resolution :premises (@p508 @p496) :args (@t358 @t235 (@list @t356))) % 27.73/27.90 (step @p510 :rule cnf_or_pos :args (@t358)) % 27.73/27.90 (step @p511 :rule reordering :premises (@p510) :args ((or @t217 @t215 @t213 @t277 @t276 @t357 (not @t358)))) % 27.73/27.90 (step @p512 :rule chain_m_resolution :premises (@p511 @p279 @p273 @p267 @p376 @p369 @p509) :args (@t357 @t279 (@list @t216 @t214 @t212 @t268 @t267 @t358))) % 27.73/27.90 (step @p513 :rule cnf_equiv_pos1 :args (@t357)) % 27.73/27.90 (step @p514 :rule reordering :premises (@p513) :args ((or (not @t233) @t354 (not @t357)))) % 27.73/27.90 (step @p515 :rule chain_m_resolution :premises (@p514 @p282 @p512) :args (@t354 @t264 (@list @t233 @t357))) % 27.73/27.90 (step @p516 :rule cnf_and_pos :args (@t354 1)) % 27.73/27.90 (step @p517 :rule reordering :premises (@p516) :args ((or @t353 (not @t354)))) % 27.73/27.90 (step @p518 :rule chain_m_resolution :premises (@p517 @p515) :args (@t353 @t235 (@list @t354))) % 27.73/27.91 (step @p519 :rule instantiate :premises (@p518) :args ((@list @t203))) % 27.73/27.91 (step @p520 :rule cnf_or_pos :args (@t361)) % 27.73/27.91 (step @p521 :rule reordering :premises (@p520) :args ((or @t211 @t360 (not @t361)))) % 27.73/27.91 (step @p522 :rule chain_m_resolution :premises (@p521 @p332 @p519) :args (@t360 @t264 (@list @t210 @t361))) % 27.73/27.91 (step @p523 :rule cnf_and_pos :args (@t360 1)) % 27.73/27.91 (step @p524 :rule reordering :premises (@p523) :args ((or @t359 (not @t360)))) % 27.73/27.91 (step @p525 :rule chain_m_resolution :premises (@p524 @p522) :args (@t359 @t235 (@list @t360))) % 27.73/27.91 (step @p526 :rule trans :premises (@p525 @p380 @p285)) % 27.73/27.91 (step @p527 :rule cong :premises (@p283 @p229) :args (@t272)) % 27.73/27.91 (step @p528 :rule cong :premises (@p230 @p527) :args (@t273)) % 27.73/27.91 (step @p529 :rule trans :premises (@p525 @p528)) % 27.73/27.91 (step @p530 :rule cnf_and_neg :args (@t208)) % 27.73/27.91 (step @p531 false :rule chain_m_resolution :premises (@p530 @p529 @p526 @p228) :args (false (@list false false true) (@list @t207 @t206 @t208))) % 27.73/27.91 ) % 27.73/27.91 % SZS output end Proof % 27.73/27.91 % cvc5 exiting %------------------------------------------------------------------------------