%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU221+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 : n004.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 0.37s 0.99s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU221+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n004.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 16:43:07 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.99 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.99 % SZS status Theorem % 0.37/0.99 % SZS output start Proof % 0.37/0.99 ( % 0.37/0.99 (declare-sort $$unsorted 0) % 0.37/0.99 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.37/0.99 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 0.37/0.99 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.function (-> $$unsorted Bool)) % 0.37/0.99 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.37/0.99 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.99 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.99 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.99 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.37/0.99 (declare-const tptp.empty_set $$unsorted) % 0.37/0.99 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.37/0.99 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.37/0.99 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.99 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 0.37/0.99 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.99 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.99 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.99 (define @t3 () (tptp.in @t2 @t1)) % 0.37/0.99 (define @t4 () (not @t3)) % 0.37/0.99 (define @t5 () (tptp.in @t1 @t2)) % 0.37/0.99 (define @t6 () (@list @t1 @t2)) % 0.37/0.99 (define @t7 () (tptp.proper_subset @t2 @t1)) % 0.37/0.99 (define @t8 () (tptp.proper_subset @t1 @t2)) % 0.37/0.99 (define @t9 () (tptp.function @t1)) % 0.37/0.99 (define @t10 () (tptp.empty @t1)) % 0.37/0.99 (define @t11 () (@list @t1)) % 0.37/0.99 (define @t12 () (tptp.relation @t1)) % 0.37/0.99 (define @t13 () (tptp.one_to_one @t1)) % 0.37/0.99 (define @t14 () (and @t12 @t9 @t13)) % 0.37/0.99 (define @t15 () (and @t12 @t10 @t9)) % 0.37/0.99 (define @t16 () (tptp.unordered_pair @t1 @t2)) % 0.37/0.99 (define @t17 () (tptp.set_union2 @t2 @t1)) % 0.37/0.99 (define @t18 () (tptp.set_union2 @t1 @t2)) % 0.37/0.99 (define @t19 () (tptp.set_intersection2 @t1 @t2)) % 0.37/0.99 (define @t20 () (@var "D" $$unsorted)) % 0.37/0.99 (define @t21 () (@var "C" $$unsorted)) % 0.37/0.99 (define @t22 () (tptp.in @t21 @t1)) % 0.37/0.99 (define @t23 () (tptp.ordered_pair @t21 @t20)) % 0.37/0.99 (define @t24 () (tptp.in @t23 @t2)) % 0.37/0.99 (define @t25 () (@list @t21 @t20)) % 0.37/0.99 (define @t26 () (tptp.identity_relation @t1)) % 0.37/0.99 (define @t27 () (= @t2 @t26)) % 0.37/0.99 (define @t28 () (tptp.relation @t2)) % 0.37/0.99 (define @t29 () (tptp.subset @t1 @t2)) % 0.37/0.99 (define @t30 () (= @t1 @t2)) % 0.37/0.99 (define @t31 () (@var "E" $$unsorted)) % 0.37/0.99 (define @t32 () (tptp.ordered_pair @t20 @t31)) % 0.37/0.99 (define @t33 () (tptp.in @t32 @t1)) % 0.37/0.99 (define @t34 () (tptp.in @t20 @t2)) % 0.37/0.99 (define @t35 () (tptp.in @t32 @t21)) % 0.37/0.99 (define @t36 () (@list @t20 @t31)) % 0.37/0.99 (define @t37 () (tptp.relation_dom_restriction @t1 @t2)) % 0.37/0.99 (define @t38 () (tptp.relation @t21)) % 0.37/0.99 (define @t39 () (@list @t2 @t21)) % 0.37/0.99 (define @t40 () (tptp.in @t31 @t1)) % 0.37/0.99 (define @t41 () (tptp.relation_rng_restriction @t1 @t2)) % 0.37/0.99 (define @t42 () (@list @t21)) % 0.37/0.99 (define @t43 () (tptp.in @t31 @t2)) % 0.37/0.99 (define @t44 () (@list @t31)) % 0.37/0.99 (define @t45 () (tptp.in @t20 @t21)) % 0.37/0.99 (define @t46 () (@list @t20)) % 0.37/0.99 (define @t47 () (@list @t2)) % 0.37/0.99 (define @t48 () (= @t2 tptp.empty_set)) % 0.37/0.99 (define @t49 () (= @t2 (tptp.set_meet @t1))) % 0.37/0.99 (define @t50 () (= @t1 tptp.empty_set)) % 0.37/0.99 (define @t51 () (tptp.in @t21 @t20)) % 0.37/0.99 (define @t52 () (tptp.in @t20 @t1)) % 0.37/0.99 (define @t53 () (tptp.in @t21 @t2)) % 0.37/0.99 (define @t54 () (not @t50)) % 0.37/0.99 (define @t55 () (tptp.singleton @t1)) % 0.37/0.99 (define @t56 () (tptp.powerset @t1)) % 0.37/0.99 (define @t57 () (tptp.in @t23 @t1)) % 0.37/0.99 (define @t58 () (tptp.empty @t2)) % 0.37/0.99 (define @t59 () (tptp.element @t2 @t1)) % 0.37/0.99 (define @t60 () (not @t10)) % 0.37/0.99 (define @t61 () (@list @t1 @t2 @t21)) % 0.37/0.99 (define @t62 () (@var "F" $$unsorted)) % 0.37/0.99 (define @t63 () (tptp.cartesian_product2 @t1 @t2)) % 0.37/0.99 (define @t64 () (forall @t42 (=> @t22 @t53))) % 0.37/0.99 (define @t65 () (tptp.apply @t1 @t2)) % 0.37/0.99 (define @t66 () (= @t21 @t65)) % 0.37/0.99 (define @t67 () (tptp.relation_dom @t1)) % 0.37/0.99 (define @t68 () (tptp.in @t2 @t67)) % 0.37/0.99 (define @t69 () (not @t68)) % 0.37/0.99 (define @t70 () (tptp.in (tptp.ordered_pair @t2 @t21) @t1)) % 0.37/0.99 (define @t71 () (and @t12 @t9)) % 0.37/0.99 (define @t72 () (tptp.cast_to_subset @t1)) % 0.37/0.99 (define @t73 () (tptp.set_difference @t1 @t2)) % 0.37/0.99 (define @t74 () (tptp.in (tptp.ordered_pair @t20 @t21) @t1)) % 0.37/0.99 (define @t75 () (tptp.relation_rng @t1)) % 0.37/0.99 (define @t76 () (tptp.subset_complement @t1 @t2)) % 0.37/0.99 (define @t77 () (tptp.element @t2 @t56)) % 0.37/0.99 (define @t78 () (tptp.ordered_pair @t1 @t2)) % 0.37/0.99 (define @t79 () (tptp.relation_inverse @t1)) % 0.37/0.99 (define @t80 () (tptp.disjoint @t1 @t2)) % 0.37/0.99 (define @t81 () (= @t2 @t21)) % 0.37/0.99 (define @t82 () (= @t65 (tptp.apply @t1 @t21))) % 0.37/0.99 (define @t83 () (tptp.in @t21 @t67)) % 0.37/0.99 (define @t84 () (and @t68 @t83 @t82)) % 0.37/0.99 (define @t85 () (forall @t39 (=> @t84 @t81))) % 0.37/0.99 (define @t86 () (= @t13 @t85)) % 0.37/0.99 (define @t87 () (=> @t71 @t86)) % 0.37/0.99 (define @t88 () (forall @t11 @t87)) % 0.37/0.99 (define @t89 () (tptp.relation_composition @t1 @t2)) % 0.37/0.99 (define @t90 () (tptp.complements_of_subsets @t1 @t2)) % 0.37/0.99 (define @t91 () (tptp.powerset @t56)) % 0.37/0.99 (define @t92 () (tptp.element @t2 @t91)) % 0.37/0.99 (define @t93 () (not @t30)) % 0.37/0.99 (define @t94 () (tptp.function_inverse @t1)) % 0.37/0.99 (define @t95 () (=> @t13 (= @t94 @t79))) % 0.37/0.99 (define @t96 () (=> @t71 @t95)) % 0.37/0.99 (define @t97 () (forall @t11 @t96)) % 0.37/0.99 (define @t98 () (and (tptp.relation @t94) (tptp.function @t94))) % 0.37/0.99 (define @t99 () (forall @t11 (=> @t71 @t98))) % 0.37/0.99 (define @t100 () (tptp.relation @t79)) % 0.37/0.99 (define @t101 () (tptp.relation @t89)) % 0.37/0.99 (define @t102 () (and @t12 @t28)) % 0.37/0.99 (define @t103 () (tptp.union_of_subsets @t1 @t2)) % 0.37/0.99 (define @t104 () (tptp.relation @t26)) % 0.37/0.99 (define @t105 () (tptp.meet_of_subsets @t1 @t2)) % 0.37/0.99 (define @t106 () (tptp.subset_difference @t1 @t2 @t21)) % 0.37/0.99 (define @t107 () (tptp.element @t21 @t56)) % 0.37/0.99 (define @t108 () (and @t77 @t107)) % 0.37/0.99 (define @t109 () (tptp.relation_composition @t2 @t1)) % 0.37/0.99 (define @t110 () (and @t10 @t28)) % 0.37/0.99 (define @t111 () (tptp.relation tptp.empty_set)) % 0.37/0.99 (define @t112 () (tptp.empty tptp.empty_set)) % 0.37/0.99 (define @t113 () (tptp.function @t2)) % 0.37/0.99 (define @t114 () (not @t58)) % 0.37/0.99 (define @t115 () (tptp.empty @t67)) % 0.37/0.99 (define @t116 () (and @t60 @t12)) % 0.37/0.99 (define @t117 () (tptp.empty @t75)) % 0.37/0.99 (define @t118 () (tptp.disjoint @t55 @t2)) % 0.37/0.99 (define @t119 () (tptp.singleton @t2)) % 0.37/0.99 (define @t120 () (tptp.union @t2)) % 0.37/0.99 (define @t121 () (tptp.in @t1 @t21)) % 0.37/0.99 (define @t122 () (@list @t1 @t2 @t21 @t20)) % 0.37/0.99 (define @t123 () (tptp.element @t1 (tptp.powerset @t2))) % 0.37/0.99 (define @t124 () (tptp.set_difference @t2 @t21)) % 0.37/0.99 (define @t125 () (= @t1 @t21)) % 0.37/0.99 (define @t126 () (tptp.relation_rng @t21)) % 0.37/0.99 (define @t127 () (tptp.relation_rng @t41)) % 0.37/0.99 (define @t128 () (tptp.relation_rng @t2)) % 0.37/0.99 (define @t129 () (tptp.cartesian_product2 @t1 @t21)) % 0.37/0.99 (define @t130 () (not @t53)) % 0.37/0.99 (define @t131 () (tptp.subset @t21 @t2)) % 0.37/0.99 (define @t132 () (forall @t42 (not (and @t131 (not (tptp.are_equipotent @t21 @t2)) @t130)))) % 0.37/0.99 (define @t133 () (tptp.powerset @t21)) % 0.37/0.99 (define @t134 () (forall @t25 (=> (and @t53 (tptp.subset @t20 @t21)) @t34))) % 0.37/0.99 (define @t135 () (tptp.relation_dom_restriction @t21 @t2)) % 0.37/0.99 (define @t136 () (tptp.relation_dom @t21)) % 0.37/0.99 (define @t137 () (tptp.relation_image @t2 @t1)) % 0.37/0.99 (define @t138 () (tptp.relation_dom @t2)) % 0.37/0.99 (define @t139 () (tptp.set_intersection2 @t138 @t1)) % 0.37/0.99 (define @t140 () (tptp.relation_rng @t89)) % 0.37/0.99 (define @t141 () (tptp.relation_inverse_image @t21 @t2)) % 0.37/0.99 (define @t142 () (tptp.relation_inverse_image @t2 @t1)) % 0.37/0.99 (define @t143 () (tptp.set_intersection2 @t2 @t21)) % 0.37/0.99 (define @t144 () (tptp.subset @t1 @t21)) % 0.37/0.99 (define @t145 () (tptp.element @t1 @t2)) % 0.37/0.99 (define @t146 () (tptp.in @t1 @t136)) % 0.37/0.99 (define @t147 () (tptp.in @t78 @t21)) % 0.37/0.99 (define @t148 () (tptp.apply @t21 @t1)) % 0.37/0.99 (define @t149 () (tptp.relation_composition @t21 @t2)) % 0.37/0.99 (define @t150 () (tptp.in @t1 (tptp.relation_dom @t149))) % 0.37/0.99 (define @t151 () (and @t38 (tptp.function @t21))) % 0.37/0.99 (define @t152 () (and @t28 @t113)) % 0.37/0.99 (define @t153 () (tptp.relation_field @t21)) % 0.37/0.99 (define @t154 () (tptp.apply @t2 @t21)) % 0.37/0.99 (define @t155 () (and (= @t75 (tptp.relation_dom @t79)) (= @t67 (tptp.relation_rng @t79)))) % 0.37/0.99 (define @t156 () (forall @t11 (=> @t12 @t155))) % 0.37/0.99 (define @t157 () (tptp.in @t2 @t21)) % 0.37/0.99 (define @t158 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.37/0.99 (define @t159 () (and @t22 @t53)) % 0.37/0.99 (define @t160 () (not @t80)) % 0.37/0.99 (define @t161 () (tptp.subset_complement @t1 @t21)) % 0.37/0.99 (define @t162 () (tptp.disjoint @t2 @t21)) % 0.37/0.99 (define @t163 () (tptp.relation_dom @t89)) % 0.37/0.99 (define @t164 () (not @t48)) % 0.37/0.99 (define @t165 () (tptp.element @t2 @t133)) % 0.37/0.99 (define @t166 () (tptp.in @t21 @t19)) % 0.37/0.99 (define @t167 () (and (tptp.in @t21 @t75) (= @t20 @t154))) % 0.37/0.99 (define @t168 () (and (tptp.in @t20 @t67) (= @t21 (tptp.apply @t1 @t20)))) % 0.37/0.99 (define @t169 () (tptp.function_inverse @t2)) % 0.37/0.99 (define @t170 () (and (= @t1 (tptp.apply @t2 (tptp.apply @t169 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t169 @t2) @t1)))) % 0.37/0.99 (define @t171 () (tptp.in @t1 @t128)) % 0.37/0.99 (define @t172 () (tptp.one_to_one @t2)) % 0.37/0.99 (define @t173 () (and @t172 @t171)) % 0.37/0.99 (define @t174 () (=> @t173 @t170)) % 0.37/0.99 (define @t175 () (forall @t6 (=> @t152 @t174))) % 0.37/0.99 (define @t176 () (tptp.one_to_one @t94)) % 0.37/0.99 (define @t177 () (=> @t13 @t176)) % 0.37/0.99 (define @t178 () (forall @t11 (=> @t71 @t177))) % 0.37/0.99 (define @t179 () (not @t178)) % 0.37/0.99 (define @t180 () (= @t75 tptp.empty_set)) % 0.37/0.99 (define @t181 () (= @t67 tptp.empty_set)) % 0.37/0.99 (define @t182 () (tptp.relation_dom_restriction @t2 @t1)) % 0.37/0.99 (define @t183 () (= @t55 (tptp.unordered_pair @t2 @t21))) % 0.37/0.99 (define @t184 () (not @t82)) % 0.37/0.99 (define @t185 () (not @t83)) % 0.37/0.99 (define @t186 () (or @t69 @t185 @t184 @t81)) % 0.37/0.99 (define @t187 () (= @t13 (forall @t39 @t186))) % 0.37/0.99 (define @t188 () (not @t9)) % 0.37/0.99 (define @t189 () (not @t12)) % 0.37/0.99 (define @t190 () (or @t189 @t188)) % 0.37/0.99 (define @t191 () (not @t71)) % 0.37/0.99 (define @t192 () (or @t69 @t185 @t184)) % 0.37/0.99 (define @t193 () (not @t13)) % 0.37/0.99 (define @t194 () (or @t189 @t188 @t193 @t176)) % 0.37/0.99 (define @t195 () (@quantifiers_skolemize (forall @t11 @t194) 0)) % 0.37/0.99 (define @t196 () (tptp.function_inverse @t195)) % 0.37/0.99 (define @t197 () (@list @t195)) % 0.37/0.99 (define @t198 () (tptp.function @t195)) % 0.37/0.99 (define @t199 () (tptp.one_to_one @t196)) % 0.37/0.99 (define @t200 () (tptp.one_to_one @t195)) % 0.37/0.99 (define @t201 () (not @t200)) % 0.37/0.99 (define @t202 () (not @t198)) % 0.37/0.99 (define @t203 () (tptp.relation @t195)) % 0.37/0.99 (define @t204 () (not @t203)) % 0.37/0.99 (define @t205 () (or @t204 @t202 @t201 @t199)) % 0.37/0.99 (define @t206 () (@list true)) % 0.37/0.99 (define @t207 () (@list @t205)) % 0.37/0.99 (define @t208 () (tptp.function @t196)) % 0.37/0.99 (define @t209 () (tptp.relation @t196)) % 0.37/0.99 (define @t210 () (and @t209 @t208)) % 0.37/0.99 (define @t211 () (or @t204 @t202 @t210)) % 0.37/0.99 (define @t212 () (@list false false false)) % 0.37/0.99 (define @t213 () (not @t210)) % 0.37/0.99 (define @t214 () (@list false)) % 0.37/0.99 (define @t215 () (@list @t210)) % 0.37/0.99 (define @t216 () (tptp.relation_dom @t196)) % 0.37/0.99 (define @t217 () (forall @t39 (or (not (tptp.in @t2 @t216)) (not (tptp.in @t21 @t216)) (not (= (tptp.apply @t196 @t2) (tptp.apply @t196 @t21))) @t81))) % 0.37/0.99 (define @t218 () (= @t199 @t217)) % 0.37/0.99 (define @t219 () (not @t208)) % 0.37/0.99 (define @t220 () (not @t209)) % 0.37/0.99 (define @t221 () (or @t220 @t219 @t218)) % 0.37/0.99 (define @t222 () (not @t217)) % 0.37/0.99 (define @t223 () (@quantifiers_skolemize @t217 1)) % 0.37/0.99 (define @t224 () (tptp.apply @t196 @t223)) % 0.37/0.99 (define @t225 () (@quantifiers_skolemize @t217 0)) % 0.37/0.99 (define @t226 () (tptp.apply @t196 @t225)) % 0.37/0.99 (define @t227 () (= @t226 @t224)) % 0.37/0.99 (define @t228 () (= @t225 @t223)) % 0.37/0.99 (define @t229 () (not @t227)) % 0.37/0.99 (define @t230 () (tptp.in @t223 @t216)) % 0.37/0.99 (define @t231 () (not @t230)) % 0.37/0.99 (define @t232 () (tptp.in @t225 @t216)) % 0.37/0.99 (define @t233 () (not @t232)) % 0.37/0.99 (define @t234 () (or @t233 @t231 @t229 @t228)) % 0.37/0.99 (define @t235 () (@list @t234)) % 0.37/0.99 (define @t236 () (not @t171)) % 0.37/0.99 (define @t237 () (not @t172)) % 0.37/0.99 (define @t238 () (not @t113)) % 0.37/0.99 (define @t239 () (not @t28)) % 0.37/0.99 (define @t240 () (or @t237 @t236 @t170)) % 0.37/0.99 (define @t241 () (= @t79 @t94)) % 0.37/0.99 (define @t242 () (or @t189 @t188 @t193 @t241)) % 0.37/0.99 (define @t243 () (=> @t13 @t241)) % 0.37/0.99 (define @t244 () (tptp.relation_inverse @t195)) % 0.37/0.99 (define @t245 () (or @t204 @t202 @t201 (= @t244 @t196))) % 0.37/0.99 (define @t246 () (forall @t11 @t242)) % 0.37/0.99 (define @t247 () (= @t196 @t244)) % 0.37/0.99 (define @t248 () (or @t204 @t202 @t201 @t247)) % 0.37/0.99 (define @t249 () (tptp.relation_dom @t244)) % 0.37/0.99 (define @t250 () (tptp.relation_rng @t195)) % 0.37/0.99 (define @t251 () (= @t250 @t249)) % 0.37/0.99 (define @t252 () (and @t251 (= (tptp.relation_dom @t195) (tptp.relation_rng @t244)))) % 0.37/0.99 (define @t253 () (or @t204 @t252)) % 0.37/0.99 (define @t254 () (tptp.in @t225 @t250)) % 0.37/0.99 (define @t255 () (tptp.relation_composition @t196 @t195)) % 0.37/0.99 (define @t256 () (tptp.apply @t195 @t226)) % 0.37/0.99 (define @t257 () (= @t225 @t256)) % 0.37/0.99 (define @t258 () (and @t257 (= @t225 (tptp.apply @t255 @t225)))) % 0.37/0.99 (define @t259 () (not @t254)) % 0.37/0.99 (define @t260 () (or @t204 @t202 @t201 @t259 @t258)) % 0.37/0.99 (define @t261 () (@list false false false false false)) % 0.37/0.99 (define @t262 () (tptp.in @t223 @t250)) % 0.37/0.99 (define @t263 () (= @t223 (tptp.apply @t195 @t224))) % 0.37/0.99 (define @t264 () (and @t263 (= @t223 (tptp.apply @t255 @t223)))) % 0.37/0.99 (define @t265 () (not @t262)) % 0.37/0.99 (define @t266 () (or @t204 @t202 @t201 @t265 @t264)) % 0.37/0.99 (define @t267 () (and @t227 @t263 @t257)) % 0.37/0.99 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.37/0.99 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 0.37/0.99 (assume @p3 (forall @t11 (=> @t10 @t9))) % 0.37/0.99 (assume @p4 (forall @t11 (=> @t10 @t12))) % 0.37/0.99 (assume @p5 (forall @t11 (=> @t15 @t14))) % 0.37/0.99 (assume @p6 (forall @t6 (= @t16 (tptp.unordered_pair @t2 @t1)))) % 0.37/0.99 (assume @p7 (forall @t6 (= @t18 @t17))) % 0.37/0.99 (assume @p8 (forall @t6 (= @t19 (tptp.set_intersection2 @t2 @t1)))) % 0.37/0.99 (assume @p9 (forall @t6 (=> @t28 (= @t27 (forall @t25 (= @t24 (and @t22 (= @t21 @t20)))))))) % 0.37/0.99 (assume @p10 (forall @t6 (= @t30 (and @t29 (tptp.subset @t2 @t1))))) % 0.37/0.99 (assume @p11 (forall @t11 (=> @t12 (forall @t39 (=> @t38 (= (= @t21 @t37) (forall @t36 (= @t35 (and @t34 @t33))))))))) % 0.37/0.99 (assume @p12 (forall @t6 (=> @t28 (forall @t42 (=> @t38 (= (= @t21 @t41) (forall @t36 (= @t35 (and @t40 (tptp.in @t32 @t2)))))))))) % 0.37/0.99 (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))))))))) % 0.37/0.99 (assume @p14 (forall @t11 (=> @t12 (forall @t39 (= (= @t21 (tptp.relation_inverse_image @t1 @t2)) (forall @t46 (= @t45 (exists @t44 (and @t33 @t43))))))))) % 0.37/0.99 (assume @p15 (forall @t11 (= @t12 (forall @t47 (not (and @t3 (forall @t25 (not (= @t2 @t23))))))))) % 0.37/0.99 (assume @p16 (forall @t6 (and (=> @t54 (= @t49 (forall @t42 (= @t53 (forall @t46 (=> @t52 @t51)))))) (=> @t50 (= @t49 @t48))))) % 0.37/0.99 (assume @p17 (forall @t6 (= (= @t2 @t55) (forall @t42 (= @t53 (= @t21 @t1)))))) % 0.37/0.99 (assume @p18 (forall @t11 (= @t50 (forall @t47 @t4)))) % 0.37/0.99 (assume @p19 (forall @t6 (= (= @t2 @t56) (forall @t42 (= @t53 (tptp.subset @t21 @t1)))))) % 0.37/0.99 (assume @p20 (forall @t11 (=> @t12 (forall @t47 (=> @t28 (= @t30 (forall @t25 (= @t57 @t24)))))))) % 0.37/0.99 (assume @p21 (forall @t6 (and (=> @t60 (= @t59 @t3)) (=> @t10 (= @t59 @t58))))) % 0.37/0.99 (assume @p22 (forall @t61 (= (= @t21 @t16) (forall @t46 (= @t45 (or (= @t20 @t1) (= @t20 @t2))))))) % 0.37/0.99 (assume @p23 (forall @t61 (= (= @t21 @t18) (forall @t46 (= @t45 (or @t52 @t34)))))) % 0.37/0.99 (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))))))))) % 0.37/0.99 (assume @p25 (forall @t11 (=> @t12 (forall @t47 (=> @t28 (= @t29 (forall @t25 (=> @t57 @t24)))))))) % 0.37/0.99 (assume @p26 (forall @t6 (= @t29 @t64))) % 0.37/0.99 (assume @p27 (forall @t61 (= (= @t21 @t19) (forall @t46 (= @t45 (and @t52 @t34)))))) % 0.37/0.99 (assume @p28 (forall @t11 (=> @t71 (forall @t39 (and (=> @t68 (= @t66 @t70)) (=> @t69 (= @t66 (= @t21 tptp.empty_set)))))))) % 0.37/0.99 (assume @p29 (forall @t11 (=> @t12 (forall @t47 (= (= @t2 @t67) (forall @t42 (= @t53 (exists @t46 @t57)))))))) % 0.37/0.99 (assume @p30 (forall @t11 (= @t72 @t1))) % 0.37/0.99 (assume @p31 (forall @t6 (= (= @t2 (tptp.union @t1)) (forall @t42 (= @t53 (exists @t46 (and @t51 @t52))))))) % 0.37/0.99 (assume @p32 (forall @t61 (= (= @t21 @t73) (forall @t46 (= @t45 (and @t52 (not @t34))))))) % 0.37/0.99 (assume @p33 (forall @t11 (=> @t12 (forall @t47 (= (= @t2 @t75) (forall @t42 (= @t53 (exists @t46 @t74)))))))) % 0.37/0.99 (assume @p34 (forall @t6 (=> @t77 (= @t76 @t73)))) % 0.37/0.99 (assume @p35 (forall @t6 (= @t78 (tptp.unordered_pair @t16 @t55)))) % 0.37/0.99 (assume @p36 (forall @t11 (=> @t12 (= (tptp.relation_field @t1) (tptp.set_union2 @t67 @t75))))) % 0.37/0.99 (assume @p37 (forall @t11 (=> @t12 (forall @t47 (=> @t28 (= (= @t2 @t79) (forall @t25 (= @t24 @t74)))))))) % 0.37/0.99 (assume @p38 (forall @t6 (= @t80 (= @t19 tptp.empty_set)))) % 0.37/0.99 (assume @p39 @t88) % 0.37/0.99 (assume @p40 (forall @t11 (=> @t12 (forall @t47 (=> @t28 (forall @t42 (=> @t38 (= (= @t21 @t89) (forall @t36 (= @t35 (exists (@list @t62) (and (tptp.in (tptp.ordered_pair @t20 @t62) @t1) (tptp.in (tptp.ordered_pair @t62 @t31) @t2))))))))))))) % 0.37/0.99 (assume @p41 (forall @t6 (=> @t92 (forall @t42 (=> (tptp.element @t21 @t91) (= (= @t21 @t90) (forall @t46 (=> (tptp.element @t20 @t56) (= @t45 (tptp.in (tptp.subset_complement @t1 @t20) @t2)))))))))) % 0.37/0.99 (assume @p42 (forall @t6 (= @t8 (and @t29 @t93)))) % 0.37/0.99 (assume @p43 @t97) % 0.37/0.99 (assume @p44 true) % 0.37/0.99 (assume @p45 @t99) % 0.37/0.99 (assume @p46 (forall @t11 (tptp.element @t72 @t56))) % 0.37/0.99 (assume @p47 (forall @t6 (=> @t77 (tptp.element @t76 @t56)))) % 0.37/0.99 (assume @p48 (forall @t11 (=> @t12 @t100))) % 0.37/0.99 (assume @p49 (forall @t6 (=> @t102 @t101))) % 0.37/0.99 (assume @p50 (forall @t6 (=> @t92 (tptp.element @t103 @t56)))) % 0.37/0.99 (assume @p51 (forall @t11 @t104)) % 0.37/0.99 (assume @p52 (forall @t6 (=> @t92 (tptp.element @t105 @t56)))) % 0.37/0.99 (assume @p53 (forall @t61 (=> @t108 (tptp.element @t106 @t56)))) % 0.37/0.99 (assume @p54 (forall @t6 (=> @t12 (tptp.relation @t37)))) % 0.37/0.99 (assume @p55 (forall @t6 (=> @t92 (tptp.element @t90 @t91)))) % 0.37/0.99 (assume @p56 (forall @t6 (=> @t28 (tptp.relation @t41)))) % 0.37/0.99 (assume @p57 (forall @t11 (exists @t47 @t59))) % 0.37/0.99 (assume @p58 (forall @t6 (=> @t110 (and (tptp.empty @t109) (tptp.relation @t109))))) % 0.37/0.99 (assume @p59 (forall @t11 (=> @t10 (and (tptp.empty @t79) @t100)))) % 0.37/0.99 (assume @p60 (and @t112 @t111 (tptp.relation_empty_yielding tptp.empty_set))) % 0.37/0.99 (assume @p61 (forall @t6 (=> (and @t12 @t9 @t28 @t113) (and @t101 (tptp.function @t89))))) % 0.37/0.99 (assume @p62 (forall @t6 (=> @t102 (tptp.relation @t19)))) % 0.37/0.99 (assume @p63 (forall @t11 (not (tptp.empty @t56)))) % 0.37/0.99 (assume @p64 @t112) % 0.37/0.99 (assume @p65 (forall @t6 (not (tptp.empty @t78)))) % 0.37/0.99 (assume @p66 (forall @t11 (and @t104 (tptp.function @t26)))) % 0.37/0.99 (assume @p67 (forall @t6 (=> @t102 (tptp.relation @t18)))) % 0.37/0.99 (assume @p68 (forall @t11 (not (tptp.empty @t55)))) % 0.37/0.99 (assume @p69 (forall @t6 (=> @t60 (not (tptp.empty @t18))))) % 0.37/0.99 (assume @p70 (forall @t11 (=> @t14 (and @t100 (tptp.function @t79))))) % 0.37/0.99 (assume @p71 (forall @t6 (not (tptp.empty @t16)))) % 0.37/1.00 (assume @p72 (forall @t6 (=> @t60 (not (tptp.empty @t17))))) % 0.37/1.00 (assume @p73 (and @t112 @t111)) % 0.37/1.00 (assume @p74 (forall @t6 (=> (and @t60 @t114) (not (tptp.empty @t63))))) % 0.37/1.00 (assume @p75 (forall @t11 (=> @t116 (not @t115)))) % 0.37/1.00 (assume @p76 (forall @t11 (=> @t116 (not @t117)))) % 0.37/1.00 (assume @p77 (forall @t11 (=> @t10 (and @t115 (tptp.relation @t67))))) % 0.37/1.00 (assume @p78 (forall @t11 (=> @t10 (and @t117 (tptp.relation @t75))))) % 0.37/1.00 (assume @p79 (forall @t6 (=> @t110 (and (tptp.empty @t89) @t101)))) % 0.37/1.00 (assume @p80 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.37/1.00 (assume @p81 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.37/1.00 (assume @p82 (forall @t6 (=> @t77 (= (tptp.subset_complement @t1 @t76) @t2)))) % 0.37/1.00 (assume @p83 (forall @t11 (=> @t12 (= (tptp.relation_inverse @t79) @t1)))) % 0.37/1.00 (assume @p84 (forall @t6 (=> @t92 (= (tptp.complements_of_subsets @t1 @t90) @t2)))) % 0.37/1.00 (assume @p85 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 0.37/1.00 (assume @p86 (forall @t11 (not (= @t55 tptp.empty_set)))) % 0.37/1.00 (assume @p87 (forall @t6 (=> @t5 (= (tptp.set_union2 @t55 @t2) @t2)))) % 0.37/1.00 (assume @p88 (forall @t6 (not (and @t118 @t5)))) % 0.37/1.00 (assume @p89 (forall @t6 (=> (not @t5) @t118))) % 0.37/1.00 (assume @p90 (forall @t6 (= (tptp.subset @t55 @t2) @t5))) % 0.37/1.00 (assume @p91 (forall @t6 (= (= @t73 tptp.empty_set) @t29))) % 0.37/1.00 (assume @p92 (forall @t6 (=> @t77 (forall @t42 (=> @t53 @t22))))) % 0.37/1.00 (assume @p93 (forall @t61 (=> @t29 (or @t22 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t21))))))) % 0.37/1.00 (assume @p94 (forall @t6 (= (tptp.subset @t1 @t119) (or @t50 (= @t1 @t119))))) % 0.37/1.00 (assume @p95 (forall @t6 (=> @t5 (tptp.subset @t1 @t120)))) % 0.37/1.00 (assume @p96 (forall @t122 (= (tptp.in @t78 (tptp.cartesian_product2 @t21 @t20)) (and @t121 (tptp.in @t2 @t20))))) % 0.37/1.00 (assume @p97 (forall @t6 (=> @t64 @t123))) % 0.37/1.00 (assume @p98 (exists @t11 @t71)) % 0.37/1.00 (assume @p99 (exists @t11 (and @t10 @t12))) % 0.37/1.00 (assume @p100 (forall @t11 (=> @t60 (exists @t47 (and @t77 @t114))))) % 0.37/1.00 (assume @p101 (exists @t11 @t10)) % 0.37/1.00 (assume @p102 (exists @t11 @t15)) % 0.37/1.00 (assume @p103 (exists @t11 @t116)) % 0.37/1.00 (assume @p104 (forall @t11 (exists @t47 (and @t77 @t58)))) % 0.37/1.00 (assume @p105 (exists @t11 @t60)) % 0.37/1.00 (assume @p106 (exists @t11 @t14)) % 0.37/1.00 (assume @p107 (exists @t11 (and @t12 (tptp.relation_empty_yielding @t1)))) % 0.37/1.00 (assume @p108 (forall @t6 (=> @t92 (= @t103 @t120)))) % 0.37/1.00 (assume @p109 (forall @t6 (=> @t92 (= @t105 (tptp.set_meet @t2))))) % 0.37/1.00 (assume @p110 (forall @t61 (=> @t108 (= @t106 @t124)))) % 0.37/1.00 (assume @p111 (forall @t6 (tptp.subset @t1 @t1))) % 0.37/1.00 (assume @p112 (forall @t6 (=> @t80 (tptp.disjoint @t2 @t1)))) % 0.37/1.00 (assume @p113 (forall @t122 (not (and (= @t16 (tptp.unordered_pair @t21 @t20)) (not @t125) (not (= @t1 @t20)))))) % 0.37/1.00 (assume @p114 (forall @t61 (=> @t38 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t21))) (and @t5 (tptp.in @t1 @t126)))))) % 0.37/1.00 (assume @p115 (forall @t6 (=> @t28 (tptp.subset @t127 @t1)))) % 0.37/1.00 (assume @p116 (forall @t6 (=> @t28 (tptp.subset @t41 @t2)))) % 0.37/1.00 (assume @p117 (forall @t6 (=> @t28 (tptp.subset @t127 @t128)))) % 0.37/1.00 (assume @p118 (forall @t61 (=> @t29 (and (tptp.subset @t129 (tptp.cartesian_product2 @t2 @t21)) (tptp.subset (tptp.cartesian_product2 @t21 @t1) (tptp.cartesian_product2 @t21 @t2)))))) % 0.37/1.00 (assume @p119 (forall @t6 (=> @t28 (= @t127 (tptp.set_intersection2 @t128 @t1))))) % 0.37/1.00 (assume @p120 (forall @t122 (=> (and @t29 (tptp.subset @t21 @t20)) (tptp.subset @t129 (tptp.cartesian_product2 @t2 @t20))))) % 0.37/1.00 (assume @p121 (forall @t6 (=> @t29 (= @t18 @t2)))) % 0.37/1.00 (assume @p122 (forall @t11 (exists @t47 (and @t5 @t134 (forall @t42 (=> @t53 (tptp.in @t133 @t2))) @t132)))) % 0.37/1.00 (assume @p123 (forall @t61 (=> @t38 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t21) @t2) (tptp.relation_rng_restriction @t1 @t135))))) % 0.37/1.00 (assume @p124 (forall @t61 (=> @t38 (= (tptp.in @t1 (tptp.relation_image @t21 @t2)) (exists @t46 (and (tptp.in @t20 @t136) (tptp.in (tptp.ordered_pair @t20 @t1) @t21) @t34)))))) % 0.37/1.00 (assume @p125 (forall @t6 (=> @t28 (tptp.subset @t137 @t128)))) % 0.37/1.00 (assume @p126 (forall @t6 (=> @t28 (= @t137 (tptp.relation_image @t2 @t139))))) % 0.37/1.00 (assume @p127 (forall @t11 (=> @t12 (= (tptp.relation_image @t1 @t67) @t75)))) % 0.37/1.00 (assume @p128 (forall @t11 (=> @t12 (forall @t47 (=> @t28 (= @t140 (tptp.relation_image @t2 @t75))))))) % 0.37/1.00 (assume @p129 (forall @t61 (=> @t38 (= (tptp.in @t1 @t141) (exists @t46 (and (tptp.in @t20 @t126) (tptp.in (tptp.ordered_pair @t1 @t20) @t21) @t34)))))) % 0.37/1.00 (assume @p130 (forall @t6 (=> @t28 (tptp.subset @t142 @t138)))) % 0.37/1.00 (assume @p131 (forall @t6 (=> @t28 (not (and @t54 (tptp.subset @t1 @t128) (= @t142 tptp.empty_set)))))) % 0.37/1.00 (assume @p132 (forall @t61 (=> @t38 (=> @t29 (tptp.subset (tptp.relation_inverse_image @t21 @t1) @t141))))) % 0.37/1.00 (assume @p133 (forall @t6 (tptp.subset @t19 @t1))) % 0.37/1.00 (assume @p134 (forall @t61 (=> (and @t29 @t144) (tptp.subset @t1 @t143)))) % 0.37/1.00 (assume @p135 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.37/1.00 (assume @p136 (forall @t6 (=> @t5 @t145))) % 0.37/1.00 (assume @p137 (forall @t61 (=> (and @t29 (tptp.subset @t2 @t21)) @t144))) % 0.37/1.00 (assume @p138 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 0.37/1.00 (assume @p139 (forall @t61 (=> @t38 (=> @t147 (and @t146 (tptp.in @t2 @t126)))))) % 0.37/1.00 (assume @p140 (forall @t6 (=> @t152 (forall @t42 (=> @t151 (= @t150 (and @t146 (tptp.in @t148 @t138)))))))) % 0.37/1.00 (assume @p141 (forall @t11 (=> @t12 (tptp.subset @t1 (tptp.cartesian_product2 @t67 @t75))))) % 0.37/1.00 (assume @p142 (forall @t6 (=> @t152 (forall @t42 (=> @t151 (=> @t150 (= (tptp.apply @t149 @t1) (tptp.apply @t2 @t148)))))))) % 0.37/1.00 (assume @p143 (forall @t6 (=> @t152 (forall @t42 (=> @t151 (=> (tptp.in @t1 @t138) (= (tptp.apply (tptp.relation_composition @t2 @t21) @t1) (tptp.apply @t21 (tptp.apply @t2 @t1))))))))) % 0.37/1.00 (assume @p144 (forall @t11 (=> @t12 (forall @t47 (=> @t28 (=> @t29 (and (tptp.subset @t67 @t138) (tptp.subset @t75 @t128)))))))) % 0.37/1.00 (assume @p145 (forall @t61 (=> @t29 (tptp.subset (tptp.set_intersection2 @t1 @t21) @t143)))) % 0.37/1.00 (assume @p146 (forall @t6 (=> @t29 (= @t19 @t1)))) % 0.37/1.00 (assume @p147 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.37/1.00 (assume @p148 (forall @t6 (=> @t145 (or @t58 @t5)))) % 0.37/1.00 (assume @p149 (forall @t6 (=> (forall @t42 (= @t22 @t53)) @t30))) % 0.37/1.00 (assume @p150 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 0.37/1.00 (assume @p151 (forall @t61 (=> @t38 (=> @t147 (and (tptp.in @t1 @t153) (tptp.in @t2 @t153)))))) % 0.37/1.00 (assume @p152 (forall @t61 (=> @t29 (tptp.subset (tptp.set_difference @t1 @t21) @t124)))) % 0.37/1.00 (assume @p153 (forall @t122 (=> (= @t78 @t23) (and @t125 (= @t2 @t20))))) % 0.37/1.00 (assume @p154 (forall @t6 (=> @t152 (= @t27 (and (= @t138 @t1) (forall @t42 (=> @t22 (= @t154 @t21)))))))) % 0.37/1.00 (assume @p155 (forall @t6 (=> @t3 (= (tptp.apply @t26 @t2) @t2)))) % 0.37/1.00 (assume @p156 (forall @t6 (tptp.subset @t73 @t1))) % 0.37/1.00 (assume @p157 @t156) % 0.37/1.00 (assume @p158 (forall @t61 (= (tptp.subset @t16 @t21) (and @t121 @t157)))) % 0.37/1.00 (assume @p159 (forall @t6 (= @t158 @t18))) % 0.37/1.00 (assume @p160 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.37/1.00 (assume @p161 (forall @t6 (= @t123 @t29))) % 0.37/1.00 (assume @p162 (forall @t6 (and (not (and @t160 (forall @t42 (not @t159)))) (not (and (exists @t42 @t159) @t80))))) % 0.37/1.00 (assume @p163 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t50))) % 0.37/1.00 (assume @p164 (forall @t6 (= (tptp.set_difference @t18 @t2) @t73))) % 0.37/1.00 (assume @p165 (forall @t6 (=> @t77 (forall @t42 (=> @t107 (= @t162 (tptp.subset @t2 @t161))))))) % 0.37/1.00 (assume @p166 (forall @t11 (=> @t12 (forall @t47 (=> @t28 (tptp.subset @t163 @t67)))))) % 0.37/1.00 (assume @p167 (forall @t11 (=> @t12 (forall @t47 (=> @t28 (tptp.subset @t140 @t128)))))) % 0.37/1.00 (assume @p168 (forall @t6 (=> @t29 (= @t2 @t158)))) % 0.37/1.00 (assume @p169 (forall @t11 (=> @t12 (forall @t47 (=> @t28 (=> (tptp.subset @t75 @t138) (= @t163 @t67))))))) % 0.37/1.00 (assume @p170 (forall @t6 (=> @t92 (not (and @t164 (= @t90 tptp.empty_set)))))) % 0.37/1.00 (assume @p171 (forall @t11 (=> @t12 (forall @t47 (=> @t28 (=> (tptp.subset @t67 @t128) (= (tptp.relation_rng @t109) @t75))))))) % 0.37/1.00 (assume @p172 (forall @t6 (=> @t92 (=> @t164 (= (tptp.subset_difference @t1 @t72 @t103) (tptp.meet_of_subsets @t1 @t90)))))) % 0.37/1.00 (assume @p173 (forall @t6 (=> @t92 (=> @t164 (= (tptp.union_of_subsets @t1 @t90) (tptp.subset_difference @t1 @t72 @t105)))))) % 0.37/1.00 (assume @p174 (forall @t6 (= (tptp.set_difference @t1 @t73) @t19))) % 0.37/1.00 (assume @p175 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.37/1.00 (assume @p176 (forall @t61 (=> (and @t5 @t165) (tptp.element @t1 @t21)))) % 0.37/1.00 (assume @p177 (forall @t6 (and (not (and @t160 (forall @t42 (not @t166)))) (not (and (exists @t42 @t166) @t80))))) % 0.37/1.00 (assume @p178 (forall @t11 (=> @t54 (forall @t47 (=> @t77 (forall @t42 (=> (tptp.element @t21 @t1) (=> @t130 (tptp.in @t21 @t76))))))))) % 0.37/1.00 (assume @p179 (forall @t11 (=> @t71 (=> @t13 (forall @t47 (=> @t152 (= (= @t2 @t94) (and (= @t138 @t75) (forall @t25 (and (=> @t167 @t168) (=> @t168 @t167))))))))))) % 0.37/1.00 (assume @p180 (forall @t61 (=> @t107 (not (and (tptp.in @t2 @t161) @t157))))) % 0.37/1.00 (assume @p181 (forall @t11 (=> @t71 (=> @t13 (and (= @t75 (tptp.relation_dom @t94)) (= @t67 (tptp.relation_rng @t94))))))) % 0.37/1.00 (assume @p182 (forall @t11 (=> @t12 (=> (forall @t39 (not @t70)) @t50)))) % 0.37/1.00 (assume @p183 @t175) % 0.37/1.00 (assume @p184 (forall @t61 (not (and @t5 @t165 (tptp.empty @t21))))) % 0.37/1.00 (assume @p185 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.37/1.00 (assume @p186 (forall @t6 (not (and @t29 @t7)))) % 0.37/1.00 (assume @p187 @t179) % 0.37/1.00 (assume @p188 (forall @t61 (=> (and @t29 @t162) (tptp.disjoint @t1 @t21)))) % 0.37/1.00 (assume @p189 (forall @t11 (=> @t12 (=> (or @t181 @t180) @t50)))) % 0.37/1.00 (assume @p190 (forall @t11 (=> @t12 (= @t181 @t180)))) % 0.37/1.00 (assume @p191 (forall @t6 (= (= (tptp.set_difference @t1 @t119) @t1) @t4))) % 0.37/1.00 (assume @p192 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t55))) % 0.37/1.00 (assume @p193 (forall @t11 (=> @t10 @t50))) % 0.37/1.00 (assume @p194 (forall @t6 (=> (tptp.subset @t55 @t119) @t30))) % 0.37/1.00 (assume @p195 (forall @t11 (and (= (tptp.relation_dom @t26) @t1) (= (tptp.relation_rng @t26) @t1)))) % 0.37/1.00 (assume @p196 (forall @t122 (=> (tptp.relation @t20) (= (tptp.in @t78 (tptp.relation_composition (tptp.identity_relation @t21) @t20)) (and @t121 (tptp.in @t78 @t20)))))) % 0.37/1.00 (assume @p197 (forall @t6 (not (and @t5 @t58)))) % 0.37/1.00 (assume @p198 (forall @t6 (tptp.subset @t1 @t18))) % 0.37/1.00 (assume @p199 (forall @t6 (= @t80 (= @t73 @t1)))) % 0.37/1.00 (assume @p200 (forall @t61 (=> @t38 (= (tptp.in @t1 (tptp.relation_dom @t135)) (and @t5 @t146))))) % 0.37/1.00 (assume @p201 (forall @t6 (=> @t28 (tptp.subset @t182 @t2)))) % 0.37/1.00 (assume @p202 (forall @t6 (not (and @t10 @t93 @t58)))) % 0.37/1.00 (assume @p203 (forall @t61 (=> @t151 (= @t147 (and @t146 (= @t2 @t148)))))) % 0.37/1.00 (assume @p204 (forall @t61 (=> (and @t29 @t131) (tptp.subset (tptp.set_union2 @t1 @t21) @t2)))) % 0.37/1.00 (assume @p205 (forall @t61 (=> @t183 @t30))) % 0.37/1.00 (assume @p206 (forall @t6 (=> @t28 (= (tptp.relation_dom @t182) @t139)))) % 0.37/1.00 (assume @p207 (forall @t6 (=> @t28 (= @t182 (tptp.relation_composition @t26 @t2))))) % 0.37/1.00 (assume @p208 (forall @t6 (=> @t28 (tptp.subset (tptp.relation_rng @t182) @t128)))) % 0.37/1.00 (assume @p209 (forall @t11 (= (tptp.union @t56) @t1))) % 0.37/1.00 (assume @p210 (forall @t11 (exists @t47 (and @t5 @t134 (forall @t42 (not (and @t53 (forall @t46 (not (and @t34 (forall @t44 (=> (tptp.subset @t31 @t21) (tptp.in @t31 @t20))))))))) @t132)))) % 0.37/1.00 (assume @p211 (forall @t61 (=> @t183 @t81))) % 0.37/1.00 (step @p212 :rule aci_norm :args ((= (or @t190 @t187) (or @t189 @t188 @t187)))) % 0.37/1.00 (step @p213 :rule refl :args (@t187)) % 0.37/1.00 (step @p214 :rule bool-and-de-morgan :args (@t12 @t9 true)) % 0.37/1.00 (step @p215 :rule nary_cong :premises (@p214 @p213) :args ((or @t191 @t187))) % 0.37/1.00 (step @p216 :rule trans :premises (@p215 @p212)) % 0.37/1.00 (step @p217 :rule bool-impl-elim :args (@t71 @t187)) % 0.37/1.00 (step @p218 :rule trans :premises (@p217 @p216)) % 0.37/1.00 (step @p219 :rule cong :premises (@p218) :args ((forall @t11 (=> @t71 @t187)))) % 0.37/1.00 (step @p220 :rule aci_norm :args ((= (or @t192 @t81) @t186))) % 0.37/1.00 (step @p221 :rule refl :args (@t81)) % 0.37/1.00 (step @p222 :rule aci_norm :args ((= (or @t69 (or @t185 @t184)) @t192))) % 0.37/1.00 (step @p223 :rule bool-and-de-morgan :args (@t83 @t82 true)) % 0.37/1.00 (step @p224 :rule refl :args (@t69)) % 0.37/1.00 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or @t69 (not (and @t83 @t82))))) % 0.37/1.00 (step @p226 :rule bool-and-de-morgan :args (@t68 @t83 (and @t82))) % 0.37/1.00 (step @p227 :rule trans :premises (@p226 @p225)) % 0.37/1.00 (step @p228 :rule trans :premises (@p227 @p222)) % 0.37/1.00 (step @p229 :rule nary_cong :premises (@p228 @p221) :args ((or (not @t84) @t81))) % 0.37/1.00 (step @p230 :rule trans :premises (@p229 @p220)) % 0.37/1.00 (step @p231 :rule bool-impl-elim :args (@t84 @t81)) % 0.37/1.00 (step @p232 :rule trans :premises (@p231 @p230)) % 0.37/1.00 (step @p233 :rule cong :premises (@p232) :args (@t85)) % 0.37/1.00 (step @p234 :rule refl :args (@t13)) % 0.37/1.00 (step @p235 :rule cong :premises (@p234 @p233) :args (@t86)) % 0.37/1.00 (step @p236 :rule refl :args (@t71)) % 0.37/1.00 (step @p237 :rule cong :premises (@p236 @p235) :args (@t87)) % 0.37/1.00 (step @p238 :rule cong :premises (@p237) :args (@t88)) % 0.37/1.00 (step @p239 :rule trans :premises (@p238 @p219)) % 0.37/1.00 (step @p240 :rule eq_resolve :premises (@p39 @p239)) % 0.37/1.00 (step @p241 :rule instantiate :premises (@p240) :args ((@list @t196))) % 0.37/1.00 (step @p242 :rule aci_norm :args ((= (or @t190 @t98) (or @t189 @t188 @t98)))) % 0.37/1.00 (step @p243 :rule refl :args (@t98)) % 0.37/1.00 (step @p244 :rule nary_cong :premises (@p214 @p243) :args ((or @t191 @t98))) % 0.37/1.00 (step @p245 :rule trans :premises (@p244 @p242)) % 0.37/1.00 (step @p246 :rule bool-impl-elim :args (@t71 @t98)) % 0.37/1.00 (step @p247 :rule trans :premises (@p246 @p245)) % 0.37/1.00 (step @p248 :rule cong :premises (@p247) :args (@t99)) % 0.37/1.00 (step @p249 :rule eq_resolve :premises (@p45 @p248)) % 0.37/1.00 (step @p250 :rule instantiate :premises (@p249) :args (@t197)) % 0.37/1.00 (step @p251 :rule aci_norm :args ((= (or @t190 (or @t193 @t176)) @t194))) % 0.37/1.00 (step @p252 :rule bool-impl-elim :args (@t13 @t176)) % 0.37/1.00 (step @p253 :rule nary_cong :premises (@p214 @p252) :args ((or @t191 @t177))) % 0.37/1.00 (step @p254 :rule trans :premises (@p253 @p251)) % 0.37/1.00 (step @p255 :rule bool-impl-elim :args (@t71 @t177)) % 0.37/1.00 (step @p256 :rule trans :premises (@p255 @p254)) % 0.37/1.00 (step @p257 :rule cong :premises (@p256) :args (@t178)) % 0.37/1.00 (step @p258 :rule cong :premises (@p257) :args (@t179)) % 0.37/1.00 (step @p259 :rule eq_resolve :premises (@p187 @p258)) % 0.37/1.00 (step @p260 :rule skolemize :premises (@p259)) % 0.37/1.00 (step @p261 :rule bool-double-not-elim :args (@t198)) % 0.37/1.00 (step @p262 :rule refl :args (@t205)) % 0.37/1.00 (step @p263 :rule nary_cong :premises (@p262 @p261) :args ((or @t205 (not @t202)))) % 0.37/1.00 (step @p264 :rule cnf_or_neg :args (@t205 1)) % 0.37/1.00 (step @p265 :rule eq_resolve :premises (@p264 @p263)) % 0.37/1.00 (step @p266 :rule reordering :premises (@p265) :args ((or @t198 @t205))) % 0.37/1.00 (step @p267 :rule chain_m_resolution :premises (@p266 @p260) :args (@t198 @t206 @t207)) % 0.37/1.00 (step @p268 :rule bool-double-not-elim :args (@t203)) % 0.37/1.00 (step @p269 :rule nary_cong :premises (@p262 @p268) :args ((or @t205 (not @t204)))) % 0.37/1.00 (step @p270 :rule cnf_or_neg :args (@t205 0)) % 0.37/1.00 (step @p271 :rule eq_resolve :premises (@p270 @p269)) % 0.37/1.00 (step @p272 :rule reordering :premises (@p271) :args ((or @t203 @t205))) % 0.37/1.00 (step @p273 :rule chain_m_resolution :premises (@p272 @p260) :args (@t203 @t206 @t207)) % 0.37/1.00 (step @p274 :rule cnf_or_pos :args (@t211)) % 0.37/1.00 (step @p275 :rule reordering :premises (@p274) :args ((or @t204 @t202 @t210 (not @t211)))) % 0.37/1.00 (step @p276 :rule chain_m_resolution :premises (@p275 @p273 @p267 @p250) :args (@t210 @t212 (@list @t203 @t198 @t211))) % 0.37/1.00 (step @p277 :rule cnf_and_pos :args (@t210 1)) % 0.37/1.00 (step @p278 :rule reordering :premises (@p277) :args ((or @t208 @t213))) % 0.37/1.00 (step @p279 :rule chain_m_resolution :premises (@p278 @p276) :args (@t208 @t214 @t215)) % 0.37/1.00 (step @p280 :rule cnf_and_pos :args (@t210 0)) % 0.37/1.00 (step @p281 :rule reordering :premises (@p280) :args ((or @t209 @t213))) % 0.37/1.00 (step @p282 :rule chain_m_resolution :premises (@p281 @p276) :args (@t209 @t214 @t215)) % 0.37/1.00 (step @p283 :rule cnf_or_pos :args (@t221)) % 0.37/1.00 (step @p284 :rule reordering :premises (@p283) :args ((or @t220 @t219 @t218 (not @t221)))) % 0.37/1.00 (step @p285 :rule chain_m_resolution :premises (@p284 @p282 @p279 @p241) :args (@t218 @t212 (@list @t209 @t208 @t221))) % 0.37/1.00 (step @p286 :rule cnf_or_neg :args (@t205 3)) % 0.37/1.00 (step @p287 :rule chain_m_resolution :premises (@p286 @p260) :args ((not @t199) @t206 @t207)) % 0.37/1.00 (step @p288 :rule cnf_equiv_pos2 :args (@t218)) % 0.37/1.00 (step @p289 :rule reordering :premises (@p288) :args ((or @t199 @t222 (not @t218)))) % 0.37/1.00 (step @p290 :rule chain_m_resolution :premises (@p289 @p287 @p285) :args (@t222 (@list true false) (@list @t199 @t218))) % 0.37/1.00 (step @p291 :rule skolemize :premises (@p290)) % 0.37/1.00 (step @p292 :rule bool-double-not-elim :args (@t227)) % 0.37/1.00 (step @p293 :rule refl :args (@t234)) % 0.37/1.00 (step @p294 :rule nary_cong :premises (@p293 @p292) :args ((or @t234 (not @t229)))) % 0.37/1.00 (step @p295 :rule cnf_or_neg :args (@t234 2)) % 0.37/1.00 (step @p296 :rule eq_resolve :premises (@p295 @p294)) % 0.37/1.00 (step @p297 :rule reordering :premises (@p296) :args ((or @t227 @t234))) % 0.37/1.00 (step @p298 :rule chain_m_resolution :premises (@p297 @p291) :args (@t227 @t206 @t235)) % 0.37/1.00 (step @p299 :rule cnf_or_neg :args (@t234 3)) % 0.37/1.00 (step @p300 :rule chain_m_resolution :premises (@p299 @p291) :args ((not @t228) @t206 @t235)) % 0.37/1.00 (step @p301 :rule aci_norm :args ((= (or (or @t239 @t238) @t240) (or @t239 @t238 @t237 @t236 @t170)))) % 0.37/1.00 (step @p302 :rule aci_norm :args ((= (or (or @t237 @t236) @t170) @t240))) % 0.37/1.00 (step @p303 :rule refl :args (@t170)) % 0.37/1.00 (step @p304 :rule bool-and-de-morgan :args (@t172 @t171 true)) % 0.37/1.00 (step @p305 :rule nary_cong :premises (@p304 @p303) :args ((or (not @t173) @t170))) % 0.37/1.00 (step @p306 :rule trans :premises (@p305 @p302)) % 0.37/1.00 (step @p307 :rule bool-impl-elim :args (@t173 @t170)) % 0.37/1.00 (step @p308 :rule trans :premises (@p307 @p306)) % 0.37/1.00 (step @p309 :rule bool-and-de-morgan :args (@t28 @t113 true)) % 0.37/1.00 (step @p310 :rule nary_cong :premises (@p309 @p308) :args ((or (not @t152) @t174))) % 0.37/1.00 (step @p311 :rule trans :premises (@p310 @p301)) % 0.37/1.00 (step @p312 :rule bool-impl-elim :args (@t152 @t174)) % 0.37/1.00 (step @p313 :rule trans :premises (@p312 @p311)) % 0.37/1.00 (step @p314 :rule cong :premises (@p313) :args (@t175)) % 0.37/1.00 (step @p315 :rule eq_resolve :premises (@p183 @p314)) % 0.37/1.00 (step @p316 :rule instantiate :premises (@p315) :args ((@list @t225 @t195))) % 0.37/1.00 (step @p317 :rule bool-double-not-elim :args (@t232)) % 0.37/1.00 (step @p318 :rule nary_cong :premises (@p293 @p317) :args ((or @t234 (not @t233)))) % 0.37/1.00 (step @p319 :rule cnf_or_neg :args (@t234 0)) % 0.37/1.00 (step @p320 :rule eq_resolve :premises (@p319 @p318)) % 0.37/1.00 (step @p321 :rule reordering :premises (@p320) :args ((or @t232 @t234))) % 0.37/1.00 (step @p322 :rule chain_m_resolution :premises (@p321 @p291) :args (@t232 @t206 @t235)) % 0.37/1.00 (step @p323 :rule true_intro :premises (@p322)) % 0.37/1.00 (step @p324 :rule aci_norm :args ((= (or @t190 (or @t193 @t241)) @t242))) % 0.37/1.00 (step @p325 :rule bool-impl-elim :args (@t13 @t241)) % 0.37/1.00 (step @p326 :rule nary_cong :premises (@p214 @p325) :args ((or @t191 @t243))) % 0.37/1.00 (step @p327 :rule trans :premises (@p326 @p324)) % 0.37/1.00 (step @p328 :rule bool-impl-elim :args (@t71 @t243)) % 0.37/1.00 (step @p329 :rule trans :premises (@p328 @p327)) % 0.37/1.00 (step @p330 :rule cong :premises (@p329) :args ((forall @t11 (=> @t71 @t243)))) % 0.37/1.00 (step @p331 :rule eq-symm :args (@t94 @t79)) % 0.37/1.00 (step @p332 :rule cong :premises (@p234 @p331) :args (@t95)) % 0.37/1.00 (step @p333 :rule cong :premises (@p236 @p332) :args (@t96)) % 0.37/1.00 (step @p334 :rule cong :premises (@p333) :args (@t97)) % 0.37/1.00 (step @p335 :rule trans :premises (@p334 @p330)) % 0.37/1.00 (step @p336 :rule eq_resolve :premises (@p43 @p335)) % 0.37/1.00 (step @p337 :rule eq-symm :args (@t244 @t196)) % 0.37/1.00 (step @p338 :rule refl :args (@t201)) % 0.37/1.00 (step @p339 :rule refl :args (@t202)) % 0.37/1.00 (step @p340 :rule refl :args (@t204)) % 0.37/1.00 (step @p341 :rule nary_cong :premises (@p340 @p339 @p338 @p337) :args (@t245)) % 0.37/1.00 (step @p342 :rule refl :args (@t246)) % 0.37/1.00 (step @p343 :rule cong :premises (@p342 @p341) :args ((=> @t246 @t245))) % 0.37/1.00 (assume-push @p417 @t246) % 0.37/1.00 (step @p345 :rule instantiate :premises (@p336) :args (@t197)) % 0.37/1.00 (step-pop @p418 :rule scope :premises (@p345)) % 0.37/1.00 (step @p346 :rule process_scope :premises (@p418) :args (@t245)) % 0.37/1.00 (step @p348 :rule eq_resolve :premises (@p346 @p343)) % 0.37/1.00 (step @p349 :rule implies_elim :premises (@p348)) % 0.37/1.00 (step @p350 :rule chain_m_resolution :premises (@p349 @p336) :args (@t248 @t214 (@list @t246))) % 0.37/1.00 (step @p351 :rule bool-double-not-elim :args (@t200)) % 0.37/1.00 (step @p352 :rule nary_cong :premises (@p262 @p351) :args ((or @t205 (not @t201)))) % 0.37/1.00 (step @p353 :rule cnf_or_neg :args (@t205 2)) % 0.37/1.00 (step @p354 :rule eq_resolve :premises (@p353 @p352)) % 0.37/1.00 (step @p355 :rule reordering :premises (@p354) :args ((or @t200 @t205))) % 0.37/1.00 (step @p356 :rule chain_m_resolution :premises (@p355 @p260) :args (@t200 @t206 @t207)) % 0.37/1.00 (step @p357 :rule cnf_or_pos :args (@t248)) % 0.37/1.00 (step @p358 :rule reordering :premises (@p357) :args ((or @t204 @t202 @t201 @t247 (not @t248)))) % 0.37/1.00 (step @p359 :rule chain_m_resolution :premises (@p358 @p273 @p267 @p356 @p350) :args (@t247 (@list false false false false) (@list @t203 @t198 @t200 @t248))) % 0.37/1.00 (step @p360 :rule symm :premises (@p359)) % 0.37/1.00 (step @p361 :rule cong :premises (@p360) :args (@t249)) % 0.37/1.00 (step @p362 :rule bool-impl-elim :args (@t12 @t155)) % 0.37/1.00 (step @p363 :rule cong :premises (@p362) :args (@t156)) % 0.37/1.00 (step @p364 :rule eq_resolve :premises (@p157 @p363)) % 0.37/1.00 (step @p365 :rule instantiate :premises (@p364) :args (@t197)) % 0.37/1.00 (step @p366 :rule cnf_or_pos :args (@t253)) % 0.37/1.00 (step @p367 :rule reordering :premises (@p366) :args ((or @t204 @t252 (not @t253)))) % 0.37/1.00 (step @p368 :rule chain_m_resolution :premises (@p367 @p273 @p365) :args (@t252 (@list false false) (@list @t203 @t253))) % 0.37/1.00 (step @p369 :rule cnf_and_pos :args (@t252 0)) % 0.37/1.00 (step @p370 :rule reordering :premises (@p369) :args ((or @t251 (not @t252)))) % 0.37/1.00 (step @p371 :rule chain_m_resolution :premises (@p370 @p368) :args (@t251 @t214 (@list @t252))) % 0.37/1.00 (step @p372 :rule trans :premises (@p371 @p361)) % 0.37/1.00 (step @p373 :rule refl :args (@t225)) % 0.37/1.00 (step @p374 :rule cong :premises (@p373 @p372) :args (@t254)) % 0.37/1.00 (step @p375 :rule trans :premises (@p374 @p323)) % 0.37/1.00 (step @p376 :rule true_elim :premises (@p375)) % 0.37/1.00 (step @p377 :rule cnf_or_pos :args (@t260)) % 0.37/1.00 (step @p378 :rule reordering :premises (@p377) :args ((or @t204 @t202 @t201 @t259 @t258 (not @t260)))) % 0.37/1.00 (step @p379 :rule chain_m_resolution :premises (@p378 @p273 @p267 @p356 @p376 @p316) :args (@t258 @t261 (@list @t203 @t198 @t200 @t254 @t260))) % 0.37/1.00 (step @p380 :rule cnf_and_pos :args (@t258 0)) % 0.37/1.00 (step @p381 :rule reordering :premises (@p380) :args ((or @t257 (not @t258)))) % 0.37/1.00 (step @p382 :rule chain_m_resolution :premises (@p381 @p379) :args (@t257 @t214 (@list @t258))) % 0.37/1.00 (step @p383 :rule instantiate :premises (@p315) :args ((@list @t223 @t195))) % 0.37/1.00 (step @p384 :rule bool-double-not-elim :args (@t230)) % 0.37/1.00 (step @p385 :rule nary_cong :premises (@p293 @p384) :args ((or @t234 (not @t231)))) % 0.37/1.00 (step @p386 :rule cnf_or_neg :args (@t234 1)) % 0.37/1.00 (step @p387 :rule eq_resolve :premises (@p386 @p385)) % 0.37/1.00 (step @p388 :rule reordering :premises (@p387) :args ((or @t230 @t234))) % 0.37/1.00 (step @p389 :rule chain_m_resolution :premises (@p388 @p291) :args (@t230 @t206 @t235)) % 0.37/1.00 (step @p390 :rule true_intro :premises (@p389)) % 0.37/1.00 (step @p391 :rule refl :args (@t223)) % 0.37/1.00 (step @p392 :rule cong :premises (@p391 @p372) :args (@t262)) % 0.37/1.00 (step @p393 :rule trans :premises (@p392 @p390)) % 0.37/1.00 (step @p394 :rule true_elim :premises (@p393)) % 0.37/1.00 (step @p395 :rule cnf_or_pos :args (@t266)) % 0.37/1.00 (step @p396 :rule reordering :premises (@p395) :args ((or @t204 @t202 @t201 @t265 @t264 (not @t266)))) % 0.37/1.00 (step @p397 :rule chain_m_resolution :premises (@p396 @p273 @p267 @p356 @p394 @p383) :args (@t264 @t261 (@list @t203 @t198 @t200 @t262 @t266))) % 0.37/1.00 (step @p398 :rule cnf_and_pos :args (@t264 0)) % 0.37/1.00 (step @p399 :rule reordering :premises (@p398) :args ((or @t263 (not @t264)))) % 0.37/1.00 (step @p400 :rule chain_m_resolution :premises (@p399 @p397) :args (@t263 @t214 (@list @t264))) % 0.37/1.00 (assume-push @p419 @t227) % 0.37/1.00 (assume-push @p420 @t263) % 0.37/1.00 (assume-push @p421 @t257) % 0.37/1.00 (step @p404 :rule symm :premises (@p400)) % 0.37/1.00 (step @p405 :rule refl :args (@t195)) % 0.37/1.00 (step @p406 :rule cong :premises (@p405 @p298) :args (@t256)) % 0.37/1.00 (step @p407 :rule trans :premises (@p382 @p406 @p404)) % 0.37/1.00 (step-pop @p422 :rule scope :premises (@p407)) % 0.37/1.00 (step-pop @p423 :rule scope :premises (@p422)) % 0.37/1.00 (step-pop @p424 :rule scope :premises (@p423)) % 0.37/1.00 (step @p408 :rule process_scope :premises (@p424) :args (@t228)) % 0.37/1.00 (step @p412 :rule implies_elim :premises (@p408)) % 0.37/1.00 (step @p413 :rule cnf_and_neg :args (@t267)) % 0.37/1.00 (step @p414 :rule resolution :premises (@p413 @p412) :args (true @t267)) % 0.37/1.00 (step @p415 :rule reordering :premises (@p414) :args ((or @t229 @t228 (not @t263) (not @t257)))) % 0.37/1.00 (step @p416 false :rule chain_m_resolution :premises (@p415 @p400 @p382 @p300 @p298) :args (false (@list false false true false) (@list @t263 @t257 @t228 @t227))) % 0.37/1.00 ) % 0.37/1.00 % SZS output end Proof % 0.37/1.00 % cvc5 exiting %------------------------------------------------------------------------------