%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU238+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 : n008.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 08:51:05 AM UTC 2026 % Result : Theorem 58.01s 58.28s % Output : Proof 34.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU238+2 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n008.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 16:46:48 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.54 %----Proving TF0_NAR, FOF, or CNF % 58.01/58.28 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 58.01/58.28 --- Run --no-e-matching --full-saturate-quant at 6... % 58.01/58.28 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 58.01/58.28 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 58.01/58.28 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 58.01/58.28 % SZS status Theorem % 58.01/58.28 % SZS output start Proof % 58.01/58.28 ( % 58.01/58.28 (declare-sort $$unsorted 0) % 58.01/58.28 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 58.01/58.28 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 58.01/58.28 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 58.01/58.28 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.relation (-> $$unsorted Bool)) % 58.01/58.28 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 58.01/58.28 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 58.01/58.28 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 58.01/58.28 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 58.01/58.28 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 58.01/58.28 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.empty (-> $$unsorted Bool)) % 58.01/58.28 (declare-const tptp.function (-> $$unsorted Bool)) % 58.01/58.28 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 58.01/58.28 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 58.01/58.28 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.empty_set $$unsorted) % 58.01/58.28 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 58.01/58.28 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 58.01/58.28 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 58.01/58.28 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 58.01/58.28 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 58.01/58.28 (define @t1 () (@var "A" $$unsorted)) % 58.01/58.28 (define @t2 () (@var "B" $$unsorted)) % 58.01/58.28 (define @t3 () (tptp.in @t2 @t1)) % 58.01/58.28 (define @t4 () (not @t3)) % 58.01/58.28 (define @t5 () (tptp.in @t1 @t2)) % 58.01/58.28 (define @t6 () (@list @t1 @t2)) % 58.01/58.28 (define @t7 () (forall @t6 (=> @t5 @t4))) % 58.01/58.28 (define @t8 () (tptp.proper_subset @t2 @t1)) % 58.01/58.28 (define @t9 () (tptp.proper_subset @t1 @t2)) % 58.01/58.28 (define @t10 () (tptp.function @t1)) % 58.01/58.28 (define @t11 () (tptp.empty @t1)) % 58.01/58.28 (define @t12 () (@list @t1)) % 58.01/58.28 (define @t13 () (tptp.epsilon_connected @t1)) % 58.01/58.28 (define @t14 () (tptp.epsilon_transitive @t1)) % 58.01/58.28 (define @t15 () (and @t14 @t13)) % 58.01/58.28 (define @t16 () (tptp.ordinal @t1)) % 58.01/58.28 (define @t17 () (tptp.relation @t1)) % 58.01/58.28 (define @t18 () (tptp.one_to_one @t1)) % 58.01/58.28 (define @t19 () (and @t17 @t10 @t18)) % 58.01/58.28 (define @t20 () (and @t17 @t11 @t10)) % 58.01/58.28 (define @t21 () (and @t14 @t13 @t16)) % 58.01/58.28 (define @t22 () (tptp.unordered_pair @t1 @t2)) % 58.01/58.28 (define @t23 () (tptp.set_union2 @t2 @t1)) % 58.01/58.28 (define @t24 () (tptp.set_union2 @t1 @t2)) % 58.01/58.28 (define @t25 () (tptp.set_intersection2 @t1 @t2)) % 58.01/58.28 (define @t26 () (tptp.ordinal_subset @t1 @t2)) % 58.01/58.28 (define @t27 () (tptp.ordinal @t2)) % 58.01/58.28 (define @t28 () (and @t16 @t27)) % 58.01/58.28 (define @t29 () (@var "D" $$unsorted)) % 58.01/58.28 (define @t30 () (@var "C" $$unsorted)) % 58.01/58.28 (define @t31 () (tptp.in @t30 @t1)) % 58.01/58.28 (define @t32 () (tptp.ordered_pair @t30 @t29)) % 58.01/58.28 (define @t33 () (tptp.in @t32 @t2)) % 58.01/58.28 (define @t34 () (@list @t30 @t29)) % 58.01/58.28 (define @t35 () (tptp.identity_relation @t1)) % 58.01/58.28 (define @t36 () (= @t2 @t35)) % 58.01/58.28 (define @t37 () (tptp.relation @t2)) % 58.01/58.28 (define @t38 () (tptp.subset @t2 @t1)) % 58.01/58.28 (define @t39 () (tptp.subset @t1 @t2)) % 58.01/58.28 (define @t40 () (= @t1 @t2)) % 58.01/58.28 (define @t41 () (@var "E" $$unsorted)) % 58.01/58.28 (define @t42 () (tptp.ordered_pair @t29 @t41)) % 58.01/58.28 (define @t43 () (tptp.in @t42 @t1)) % 58.01/58.28 (define @t44 () (tptp.in @t29 @t2)) % 58.01/58.28 (define @t45 () (tptp.in @t42 @t30)) % 58.01/58.28 (define @t46 () (@list @t29 @t41)) % 58.01/58.28 (define @t47 () (tptp.relation_dom_restriction @t1 @t2)) % 58.01/58.28 (define @t48 () (tptp.relation @t30)) % 58.01/58.28 (define @t49 () (@list @t2 @t30)) % 58.01/58.28 (define @t50 () (tptp.in @t41 @t2)) % 58.01/58.28 (define @t51 () (tptp.relation_dom @t1)) % 58.01/58.28 (define @t52 () (@list @t41)) % 58.01/58.28 (define @t53 () (tptp.in @t29 @t30)) % 58.01/58.28 (define @t54 () (@list @t29)) % 58.01/58.28 (define @t55 () (= @t30 (tptp.relation_image @t1 @t2))) % 58.01/58.28 (define @t56 () (and @t17 @t10)) % 58.01/58.28 (define @t57 () (tptp.in @t41 @t1)) % 58.01/58.28 (define @t58 () (tptp.relation_rng_restriction @t1 @t2)) % 58.01/58.28 (define @t59 () (@list @t30)) % 58.01/58.28 (define @t60 () (tptp.apply @t1 @t29)) % 58.01/58.28 (define @t61 () (tptp.in @t29 @t51)) % 58.01/58.28 (define @t62 () (= @t30 (tptp.relation_inverse_image @t1 @t2))) % 58.01/58.28 (define @t63 () (tptp.in @t41 @t29)) % 58.01/58.28 (define @t64 () (@list @t1 @t2 @t30 @t29)) % 58.01/58.28 (define @t65 () (tptp.singleton @t1)) % 58.01/58.28 (define @t66 () (tptp.succ @t1)) % 58.01/58.28 (define @t67 () (@list @t2)) % 58.01/58.28 (define @t68 () (= @t2 tptp.empty_set)) % 58.01/58.28 (define @t69 () (= @t2 (tptp.set_meet @t1))) % 58.01/58.28 (define @t70 () (= @t1 tptp.empty_set)) % 58.01/58.28 (define @t71 () (tptp.in @t30 @t29)) % 58.01/58.28 (define @t72 () (tptp.in @t29 @t1)) % 58.01/58.28 (define @t73 () (tptp.in @t30 @t2)) % 58.01/58.28 (define @t74 () (not @t70)) % 58.01/58.28 (define @t75 () (tptp.powerset @t1)) % 58.01/58.28 (define @t76 () (tptp.in @t32 @t1)) % 58.01/58.28 (define @t77 () (tptp.empty @t2)) % 58.01/58.28 (define @t78 () (tptp.element @t2 @t1)) % 58.01/58.28 (define @t79 () (not @t11)) % 58.01/58.28 (define @t80 () (@list @t1 @t2 @t30)) % 58.01/58.28 (define @t81 () (@var "F" $$unsorted)) % 58.01/58.28 (define @t82 () (tptp.cartesian_product2 @t1 @t2)) % 58.01/58.28 (define @t83 () (not @t73)) % 58.01/58.28 (define @t84 () (= @t2 @t30)) % 58.01/58.28 (define @t85 () (tptp.in @t2 @t30)) % 58.01/58.28 (define @t86 () (forall @t59 (=> @t31 @t73))) % 58.01/58.28 (define @t87 () (tptp.apply @t1 @t2)) % 58.01/58.28 (define @t88 () (= @t30 @t87)) % 58.01/58.28 (define @t89 () (tptp.in @t2 @t51)) % 58.01/58.28 (define @t90 () (tptp.in (tptp.ordered_pair @t2 @t30) @t1)) % 58.01/58.28 (define @t91 () (tptp.cast_to_subset @t1)) % 58.01/58.28 (define @t92 () (tptp.union @t1)) % 58.01/58.28 (define @t93 () (tptp.set_difference @t1 @t2)) % 58.01/58.28 (define @t94 () (and @t61 (= @t30 @t60))) % 58.01/58.28 (define @t95 () (tptp.relation_rng @t1)) % 58.01/58.28 (define @t96 () (= @t2 @t95)) % 58.01/58.28 (define @t97 () (tptp.in (tptp.ordered_pair @t29 @t30) @t1)) % 58.01/58.28 (define @t98 () (tptp.subset_complement @t1 @t2)) % 58.01/58.28 (define @t99 () (tptp.element @t2 @t75)) % 58.01/58.28 (define @t100 () (tptp.ordered_pair @t1 @t2)) % 58.01/58.28 (define @t101 () (tptp.being_limit_ordinal @t1)) % 58.01/58.28 (define @t102 () (tptp.relation_inverse @t1)) % 58.01/58.28 (define @t103 () (tptp.disjoint @t1 @t2)) % 58.01/58.28 (define @t104 () (tptp.relation_composition @t1 @t2)) % 58.01/58.28 (define @t105 () (tptp.complements_of_subsets @t1 @t2)) % 58.01/58.28 (define @t106 () (tptp.powerset @t75)) % 58.01/58.28 (define @t107 () (tptp.element @t2 @t106)) % 58.01/58.28 (define @t108 () (not @t40)) % 58.01/58.28 (define @t109 () (forall @t6 (= @t9 (and @t39 @t108)))) % 58.01/58.28 (define @t110 () (tptp.function_inverse @t1)) % 58.01/58.28 (define @t111 () (tptp.relation @t102)) % 58.01/58.28 (define @t112 () (tptp.relation @t104)) % 58.01/58.28 (define @t113 () (and @t17 @t37)) % 58.01/58.28 (define @t114 () (tptp.union_of_subsets @t1 @t2)) % 58.01/58.28 (define @t115 () (tptp.relation @t35)) % 58.01/58.28 (define @t116 () (tptp.meet_of_subsets @t1 @t2)) % 58.01/58.28 (define @t117 () (tptp.subset_difference @t1 @t2 @t30)) % 58.01/58.28 (define @t118 () (tptp.element @t30 @t75)) % 58.01/58.28 (define @t119 () (and @t99 @t118)) % 58.01/58.28 (define @t120 () (tptp.relation @t47)) % 58.01/58.28 (define @t121 () (tptp.relation_composition @t2 @t1)) % 58.01/58.28 (define @t122 () (and @t11 @t37)) % 58.01/58.28 (define @t123 () (tptp.relation_empty_yielding tptp.empty_set)) % 58.01/58.28 (define @t124 () (tptp.relation tptp.empty_set)) % 58.01/58.28 (define @t125 () (tptp.empty tptp.empty_set)) % 58.01/58.28 (define @t126 () (tptp.relation_empty_yielding @t1)) % 58.01/58.28 (define @t127 () (and @t17 @t126)) % 58.01/58.28 (define @t128 () (tptp.function @t2)) % 58.01/58.28 (define @t129 () (not (tptp.empty @t66))) % 58.01/58.28 (define @t130 () (and @t129 (tptp.epsilon_transitive @t66) (tptp.epsilon_connected @t66) (tptp.ordinal @t66))) % 58.01/58.28 (define @t131 () (forall @t12 (=> @t16 @t130))) % 58.01/58.28 (define @t132 () (and (tptp.epsilon_transitive @t92) (tptp.epsilon_connected @t92) (tptp.ordinal @t92))) % 58.01/58.28 (define @t133 () (forall @t12 (=> @t16 @t132))) % 58.01/58.28 (define @t134 () (not @t77)) % 58.01/58.28 (define @t135 () (tptp.empty @t51)) % 58.01/58.28 (define @t136 () (and @t79 @t17)) % 58.01/58.28 (define @t137 () (tptp.empty @t95)) % 58.01/58.28 (define @t138 () (tptp.disjoint @t65 @t2)) % 58.01/58.28 (define @t139 () (not @t5)) % 58.01/58.28 (define @t140 () (tptp.singleton @t2)) % 58.01/58.28 (define @t141 () (tptp.union @t2)) % 58.01/58.28 (define @t142 () (tptp.in @t1 @t30)) % 58.01/58.28 (define @t143 () (tptp.element @t1 (tptp.powerset @t2))) % 58.01/58.28 (define @t144 () (tptp.relation_dom @t30)) % 58.01/58.28 (define @t145 () (tptp.relation_dom_restriction @t30 @t1)) % 58.01/58.28 (define @t146 () (tptp.in @t2 (tptp.relation_dom @t145))) % 58.01/58.28 (define @t147 () (and @t48 (tptp.function @t30))) % 58.01/58.28 (define @t148 () (tptp.set_difference @t2 @t30)) % 58.01/58.28 (define @t149 () (= @t26 @t39)) % 58.01/58.28 (define @t150 () (forall @t6 (=> @t28 @t149))) % 58.01/58.28 (define @t151 () (= @t1 @t30)) % 58.01/58.28 (define @t152 () (tptp.relation_rng @t30)) % 58.01/58.28 (define @t153 () (tptp.relation_rng @t58)) % 58.01/58.28 (define @t154 () (tptp.relation_rng @t2)) % 58.01/58.28 (define @t155 () (tptp.cartesian_product2 @t1 @t30)) % 58.01/58.28 (define @t156 () (tptp.subset @t30 @t2)) % 58.01/58.28 (define @t157 () (forall @t59 (not (and @t156 (not (tptp.are_equipotent @t30 @t2)) @t83)))) % 58.01/58.28 (define @t158 () (tptp.powerset @t30)) % 58.01/58.28 (define @t159 () (forall @t34 (=> (and @t73 (tptp.subset @t29 @t30)) @t44))) % 58.01/58.28 (define @t160 () (tptp.relation_dom_restriction @t30 @t2)) % 58.01/58.28 (define @t161 () (tptp.relation_image @t2 @t1)) % 58.01/58.28 (define @t162 () (tptp.relation_inverse_image @t2 @t1)) % 58.01/58.28 (define @t163 () (tptp.relation_image @t2 @t162)) % 58.01/58.28 (define @t164 () (and @t37 @t128)) % 58.01/58.28 (define @t165 () (tptp.relation_dom @t2)) % 58.01/58.28 (define @t166 () (tptp.set_intersection2 @t165 @t1)) % 58.01/58.28 (define @t167 () (tptp.subset @t1 @t154)) % 58.01/58.28 (define @t168 () (tptp.relation_rng @t104)) % 58.01/58.28 (define @t169 () (tptp.relation_inverse_image @t30 @t2)) % 58.01/58.28 (define @t170 () (tptp.set_intersection2 @t2 @t30)) % 58.01/58.28 (define @t171 () (tptp.subset @t1 @t30)) % 58.01/58.28 (define @t172 () (tptp.element @t1 @t2)) % 58.01/58.28 (define @t173 () (tptp.in @t1 @t144)) % 58.01/58.28 (define @t174 () (tptp.in @t100 @t30)) % 58.01/58.28 (define @t175 () (tptp.apply @t30 @t1)) % 58.01/58.28 (define @t176 () (tptp.relation_composition @t30 @t2)) % 58.01/58.28 (define @t177 () (tptp.in @t1 (tptp.relation_dom @t176))) % 58.01/58.28 (define @t178 () (=> @t9 @t5)) % 58.01/58.28 (define @t179 () (forall @t67 (=> @t27 @t178))) % 58.01/58.28 (define @t180 () (=> @t14 @t179)) % 58.01/58.28 (define @t181 () (forall @t12 @t180)) % 58.01/58.28 (define @t182 () (tptp.relation_field @t30)) % 58.01/58.29 (define @t183 () (= @t5 (tptp.ordinal_subset @t66 @t2))) % 58.01/58.29 (define @t184 () (forall @t67 (=> @t27 @t183))) % 58.01/58.29 (define @t185 () (=> @t16 @t184)) % 58.01/58.29 (define @t186 () (forall @t12 @t185)) % 58.01/58.29 (define @t187 () (tptp.apply @t2 @t30)) % 58.01/58.29 (define @t188 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 58.01/58.29 (define @t189 () (and @t31 @t73)) % 58.01/58.29 (define @t190 () (not @t103)) % 58.01/58.29 (define @t191 () (tptp.succ @t2)) % 58.01/58.29 (define @t192 () (tptp.in @t191 @t1)) % 58.01/58.29 (define @t193 () (=> @t3 @t192)) % 58.01/58.29 (define @t194 () (forall @t67 (=> @t27 @t193))) % 58.01/58.29 (define @t195 () (= @t101 @t194)) % 58.01/58.29 (define @t196 () (=> @t16 @t195)) % 58.01/58.29 (define @t197 () (forall @t12 @t196)) % 58.01/58.29 (define @t198 () (= @t1 @t191)) % 58.01/58.29 (define @t199 () (and @t27 @t198)) % 58.01/58.29 (define @t200 () (exists @t67 @t199)) % 58.01/58.29 (define @t201 () (and @t200 @t101)) % 58.01/58.29 (define @t202 () (not @t201)) % 58.01/58.29 (define @t203 () (not @t198)) % 58.01/58.29 (define @t204 () (forall @t67 (=> @t27 @t203))) % 58.01/58.29 (define @t205 () (not @t101)) % 58.01/58.29 (define @t206 () (and @t205 @t204)) % 58.01/58.29 (define @t207 () (not @t206)) % 58.01/58.29 (define @t208 () (and @t207 @t202)) % 58.01/58.29 (define @t209 () (=> @t16 @t208)) % 58.01/58.29 (define @t210 () (forall @t12 @t209)) % 58.01/58.29 (define @t211 () (not @t210)) % 58.01/58.29 (define @t212 () (tptp.subset_complement @t1 @t30)) % 58.01/58.29 (define @t213 () (tptp.disjoint @t2 @t30)) % 58.01/58.29 (define @t214 () (tptp.relation_dom @t104)) % 58.01/58.29 (define @t215 () (not @t68)) % 58.01/58.29 (define @t216 () (tptp.element @t2 @t158)) % 58.01/58.29 (define @t217 () (tptp.in @t30 @t25)) % 58.01/58.29 (define @t218 () (and (tptp.in @t30 @t95) (= @t29 @t187))) % 58.01/58.29 (define @t219 () (tptp.function_inverse @t2)) % 58.01/58.29 (define @t220 () (= @t95 tptp.empty_set)) % 58.01/58.29 (define @t221 () (= @t51 tptp.empty_set)) % 58.01/58.29 (define @t222 () (= (tptp.apply @t145 @t2) (tptp.apply @t30 @t2))) % 58.01/58.29 (define @t223 () (tptp.relation_dom_restriction @t2 @t1)) % 58.01/58.29 (define @t224 () (= @t65 (tptp.unordered_pair @t2 @t30))) % 58.01/58.29 (define @t225 () (@var "BOUND_VARIABLE_10521" $$unsorted)) % 58.01/58.29 (define @t226 () (not (= @t1 (tptp.succ @t225)))) % 58.01/58.29 (define @t227 () (not (tptp.ordinal @t225))) % 58.01/58.29 (define @t228 () (or @t205 @t227 @t226)) % 58.01/58.29 (define @t229 () (not @t27)) % 58.01/58.29 (define @t230 () (forall @t67 (or @t229 @t203))) % 58.01/58.29 (define @t231 () (not @t230)) % 58.01/58.29 (define @t232 () (or @t101 @t231)) % 58.01/58.29 (define @t233 () (not @t16)) % 58.01/58.29 (define @t234 () (@list @t1 @t225)) % 58.01/58.29 (define @t235 () (forall @t234 (or @t233 (and @t232 @t228)))) % 58.01/58.29 (define @t236 () (@quantifiers_skolemize @t235 0)) % 58.01/58.29 (define @t237 () (tptp.being_limit_ordinal @t236)) % 58.01/58.29 (define @t238 () (@quantifiers_skolemize @t235 1)) % 58.01/58.29 (define @t239 () (tptp.succ @t238)) % 58.01/58.29 (define @t240 () (= @t236 @t239)) % 58.01/58.29 (define @t241 () (not @t240)) % 58.01/58.29 (define @t242 () (tptp.ordinal @t238)) % 58.01/58.29 (define @t243 () (not @t242)) % 58.01/58.29 (define @t244 () (not @t237)) % 58.01/58.29 (define @t245 () (or @t244 @t243 @t241)) % 58.01/58.29 (define @t246 () (or @t229 @t4 @t192)) % 58.01/58.29 (define @t247 () (= @t101 (forall @t67 @t246))) % 58.01/58.29 (define @t248 () (@list @t236)) % 58.01/58.29 (define @t249 () (or @t227 @t226)) % 58.01/58.29 (define @t250 () (or @t249 @t205)) % 58.01/58.29 (define @t251 () (and @t232 @t250)) % 58.01/58.29 (define @t252 () (or @t233 @t251)) % 58.01/58.29 (define @t253 () (forall @t234 @t252)) % 58.01/58.29 (define @t254 () (@list @t225)) % 58.01/58.29 (define @t255 () (forall @t254 @t252)) % 58.01/58.29 (define @t256 () (forall @t254 @t249)) % 58.01/58.29 (define @t257 () (@list @t2)) % 58.01/58.29 (define @t258 () (or @t256 @t205)) % 58.01/58.29 (define @t259 () (forall @t254 @t250)) % 58.01/58.29 (define @t260 () (forall @t254 @t232)) % 58.01/58.29 (define @t261 () (and @t260 @t259)) % 58.01/58.29 (define @t262 () (forall @t254 @t251)) % 58.01/58.29 (define @t263 () (or @t233 @t262)) % 58.01/58.29 (define @t264 () (and (not (and @t205 @t230)) (not (and @t231 @t101)))) % 58.01/58.29 (define @t265 () (forall @t67 (not @t199))) % 58.01/58.29 (define @t266 () (not @t265)) % 58.01/58.29 (define @t267 () (forall @t67 (or @t229 (not (= @t191 @t236))))) % 58.01/58.29 (define @t268 () (not @t267)) % 58.01/58.29 (define @t269 () (or @t237 @t268)) % 58.01/58.29 (define @t270 () (and @t269 @t245)) % 58.01/58.29 (define @t271 () (tptp.ordinal @t236)) % 58.01/58.29 (define @t272 () (not @t271)) % 58.01/58.29 (define @t273 () (or @t272 @t270)) % 58.01/58.29 (define @t274 () (not @t273)) % 58.01/58.29 (define @t275 () (not @t235)) % 58.01/58.29 (define @t276 () (not (= @t236 @t191))) % 58.01/58.29 (define @t277 () (or @t229 @t276)) % 58.01/58.29 (define @t278 () (forall @t67 @t277)) % 58.01/58.29 (define @t279 () (not @t278)) % 58.01/58.29 (define @t280 () (or @t237 @t279)) % 58.01/58.29 (define @t281 () (and @t280 @t245)) % 58.01/58.29 (define @t282 () (or @t272 @t281)) % 58.01/58.29 (define @t283 () (not @t282)) % 58.01/58.29 (define @t284 () (@list true)) % 58.01/58.29 (define @t285 () (@list @t273)) % 58.01/58.29 (define @t286 () (forall @t67 (or @t229 (not (tptp.in @t2 @t236)) (tptp.in @t191 @t236)))) % 58.01/58.29 (define @t287 () (= @t237 @t286)) % 58.01/58.29 (define @t288 () (or @t272 @t287)) % 58.01/58.29 (define @t289 () (@list false false)) % 58.01/58.29 (define @t290 () (not @t286)) % 58.01/58.29 (define @t291 () (@quantifiers_skolemize @t286 0)) % 58.01/58.29 (define @t292 () (tptp.succ @t291)) % 58.01/58.29 (define @t293 () (tptp.in @t292 @t236)) % 58.01/58.29 (define @t294 () (tptp.in @t291 @t236)) % 58.01/58.29 (define @t295 () (not @t294)) % 58.01/58.29 (define @t296 () (tptp.ordinal @t291)) % 58.01/58.29 (define @t297 () (not @t296)) % 58.01/58.29 (define @t298 () (or @t297 @t295 @t293)) % 58.01/58.29 (define @t299 () (not @t298)) % 58.01/58.29 (define @t300 () (not (= @t292 @t236))) % 58.01/58.29 (define @t301 () (or @t297 @t300)) % 58.01/58.29 (define @t302 () (@list @t291)) % 58.01/58.29 (define @t303 () (tptp.ordinal @t292)) % 58.01/58.29 (define @t304 () (tptp.epsilon_transitive @t292)) % 58.01/58.29 (define @t305 () (and (not (tptp.empty @t292)) @t304 (tptp.epsilon_connected @t292) @t303)) % 58.01/58.29 (define @t306 () (or @t297 @t305)) % 58.01/58.29 (define @t307 () (@var "BOUND_VARIABLE_10370" $$unsorted)) % 58.01/58.29 (define @t308 () (= (tptp.in @t1 @t307) (tptp.ordinal_subset @t66 @t307))) % 58.01/58.29 (define @t309 () (not (tptp.ordinal @t307))) % 58.01/58.29 (define @t310 () (or @t309 @t308)) % 58.01/58.29 (define @t311 () (or @t233 @t310)) % 58.01/58.29 (define @t312 () (forall (@list @t1 @t307) @t311)) % 58.01/58.29 (define @t313 () (@list @t307)) % 58.01/58.29 (define @t314 () (forall @t313 @t311)) % 58.01/58.29 (define @t315 () (forall @t313 @t310)) % 58.01/58.29 (define @t316 () (or @t233 @t315)) % 58.01/58.29 (define @t317 () (forall @t67 (or @t229 @t183))) % 58.01/58.29 (define @t318 () (tptp.ordinal_subset @t292 @t236)) % 58.01/58.29 (define @t319 () (= @t294 @t318)) % 58.01/58.29 (define @t320 () (or @t297 @t272 @t319)) % 58.01/58.29 (define @t321 () (= @t236 @t292)) % 58.01/58.29 (define @t322 () (not @t321)) % 58.01/58.29 (define @t323 () (or @t297 @t322)) % 58.01/58.29 (define @t324 () (not @t305)) % 58.01/58.29 (define @t325 () (@var "BOUND_VARIABLE_10186" $$unsorted)) % 58.01/58.29 (define @t326 () (tptp.in @t1 @t325)) % 58.01/58.29 (define @t327 () (not (tptp.proper_subset @t1 @t325))) % 58.01/58.29 (define @t328 () (not (tptp.ordinal @t325))) % 58.01/58.29 (define @t329 () (not @t14)) % 58.01/58.29 (define @t330 () (or @t328 @t327 @t326)) % 58.01/58.29 (define @t331 () (or @t329 @t330)) % 58.01/58.29 (define @t332 () (forall (@list @t1 @t325) @t331)) % 58.01/58.29 (define @t333 () (@list @t325)) % 58.01/58.29 (define @t334 () (forall @t333 @t331)) % 58.01/58.29 (define @t335 () (forall @t333 @t330)) % 58.01/58.29 (define @t336 () (or @t329 @t335)) % 58.01/58.29 (define @t337 () (not @t9)) % 58.01/58.29 (define @t338 () (or @t229 @t337 @t5)) % 58.01/58.29 (define @t339 () (forall @t67 @t338)) % 58.01/58.29 (define @t340 () (@list @t292 @t236)) % 58.01/58.29 (define @t341 () (tptp.proper_subset @t292 @t236)) % 58.01/58.29 (define @t342 () (not @t341)) % 58.01/58.29 (define @t343 () (not @t304)) % 58.01/58.29 (define @t344 () (or @t343 @t272 @t342 @t293)) % 58.01/58.29 (define @t345 () (tptp.subset @t292 @t236)) % 58.01/58.29 (define @t346 () (= @t318 @t345)) % 58.01/58.29 (define @t347 () (not @t303)) % 58.01/58.29 (define @t348 () (or @t347 @t272 @t346)) % 58.01/58.29 (define @t349 () (and @t345 @t300)) % 58.01/58.29 (define @t350 () (= @t341 @t349)) % 58.01/58.29 (define @t351 () (and @t345 @t322)) % 58.01/58.29 (define @t352 () (= @t341 @t351)) % 58.01/58.29 (define @t353 () (@list false)) % 58.01/58.29 (define @t354 () (not @t345)) % 58.01/58.29 (define @t355 () (@list @t245)) % 58.01/58.29 (define @t356 () (tptp.union @t236)) % 58.01/58.29 (define @t357 () (tptp.ordinal @t356)) % 58.01/58.29 (define @t358 () (and (tptp.epsilon_transitive @t356) (tptp.epsilon_connected @t356) @t357)) % 58.01/58.29 (define @t359 () (or @t272 @t358)) % 58.01/58.29 (define @t360 () (forall @t67 (or @t229 (not (tptp.in @t2 @t356)) (tptp.in @t191 @t356)))) % 58.01/58.29 (define @t361 () (tptp.being_limit_ordinal @t356)) % 58.01/58.29 (define @t362 () (= @t361 @t360)) % 58.01/58.29 (define @t363 () (not @t357)) % 58.01/58.29 (define @t364 () (or @t363 @t362)) % 58.01/58.29 (define @t365 () (= @t236 @t356)) % 58.01/58.29 (define @t366 () (= @t237 @t365)) % 58.01/58.29 (define @t367 () (and @t237 @t365)) % 58.01/58.29 (define @t368 () (@list @t238)) % 58.01/58.29 (define @t369 () (tptp.in @t239 @t356)) % 58.01/58.29 (define @t370 () (tptp.in @t238 @t356)) % 58.01/58.29 (define @t371 () (not @t370)) % 58.01/58.29 (define @t372 () (or @t243 @t371 @t369)) % 58.01/58.29 (define @t373 () (tptp.in @t236 @t236)) % 58.01/58.29 (define @t374 () (not @t373)) % 58.01/58.29 (define @t375 () (or @t374 @t374)) % 58.01/58.29 (define @t376 () (forall @t6 (or @t139 @t4))) % 58.01/58.29 (define @t377 () (not @t369)) % 58.01/58.29 (define @t378 () (not @t365)) % 58.01/58.29 (define @t379 () (and @t240 @t365 @t374)) % 58.01/58.29 (define @t380 () (tptp.in @t238 @t239)) % 58.01/58.29 (define @t381 () (and @t240 @t365 @t380)) % 58.01/58.29 (assume @p1 @t7) % 58.01/58.29 (assume @p2 (forall @t6 (=> @t9 (not @t8)))) % 58.01/58.29 (assume @p3 (forall @t12 (=> @t11 @t10))) % 58.01/58.29 (assume @p4 (forall @t12 (=> @t16 @t15))) % 58.01/58.29 (assume @p5 (forall @t12 (=> @t11 @t17))) % 58.01/58.29 (assume @p6 (forall @t12 (=> @t20 @t19))) % 58.01/58.29 (assume @p7 (forall @t12 (=> @t15 @t16))) % 58.01/58.29 (assume @p8 (forall @t12 (=> @t11 @t21))) % 58.01/58.29 (assume @p9 (forall @t6 (= @t22 (tptp.unordered_pair @t2 @t1)))) % 58.01/58.29 (assume @p10 (forall @t6 (= @t24 @t23))) % 58.01/58.29 (assume @p11 (forall @t6 (= @t25 (tptp.set_intersection2 @t2 @t1)))) % 58.01/58.29 (assume @p12 (forall @t6 (=> @t28 (or @t26 (tptp.ordinal_subset @t2 @t1))))) % 58.01/58.29 (assume @p13 (forall @t6 (=> @t37 (= @t36 (forall @t34 (= @t33 (and @t31 (= @t30 @t29)))))))) % 58.01/58.29 (assume @p14 (forall @t6 (= @t40 (and @t39 @t38)))) % 58.01/58.29 (assume @p15 (forall @t12 (=> @t17 (forall @t49 (=> @t48 (= (= @t30 @t47) (forall @t46 (= @t45 (and @t44 @t43))))))))) % 58.01/58.29 (assume @p16 (forall @t12 (=> @t56 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in @t41 @t51) @t50 (= @t29 (tptp.apply @t1 @t41))))))))))) % 58.01/58.29 (assume @p17 (forall @t6 (=> @t37 (forall @t59 (=> @t48 (= (= @t30 @t58) (forall @t46 (= @t45 (and @t57 (tptp.in @t42 @t2)))))))))) % 58.01/58.29 (assume @p18 (forall @t12 (=> @t56 (forall @t49 (= @t62 (forall @t54 (= @t53 (and @t61 (tptp.in @t60 @t2))))))))) % 58.01/58.29 (assume @p19 (forall @t12 (=> @t17 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in (tptp.ordered_pair @t41 @t29) @t1) @t50))))))))) % 58.01/58.29 (assume @p20 (forall @t12 (=> @t17 (forall @t49 (= @t62 (forall @t54 (= @t53 (exists @t52 (and @t43 @t50))))))))) % 58.01/58.29 (assume @p21 (forall @t64 (= (= @t29 (tptp.unordered_triple @t1 @t2 @t30)) (forall @t52 (= @t63 (not (and (not (= @t41 @t1)) (not (= @t41 @t2)) (not (= @t41 @t30))))))))) % 58.01/58.29 (assume @p22 (forall @t12 (= @t66 (tptp.set_union2 @t1 @t65)))) % 58.01/58.29 (assume @p23 (forall @t12 (= @t17 (forall @t67 (not (and @t3 (forall @t34 (not (= @t2 @t32))))))))) % 58.01/58.29 (assume @p24 (forall @t6 (and (=> @t74 (= @t69 (forall @t59 (= @t73 (forall @t54 (=> @t72 @t71)))))) (=> @t70 (= @t69 @t68))))) % 58.01/58.29 (assume @p25 (forall @t6 (= (= @t2 @t65) (forall @t59 (= @t73 (= @t30 @t1)))))) % 58.01/58.29 (assume @p26 (forall @t12 (= @t70 (forall @t67 @t4)))) % 58.01/58.29 (assume @p27 (forall @t6 (= (= @t2 @t75) (forall @t59 (= @t73 (tptp.subset @t30 @t1)))))) % 58.01/58.29 (assume @p28 (forall @t12 (= @t14 (forall @t67 (=> @t3 @t38))))) % 58.01/58.29 (assume @p29 (forall @t12 (=> @t17 (forall @t67 (=> @t37 (= @t40 (forall @t34 (= @t76 @t33)))))))) % 58.01/58.29 (assume @p30 (forall @t6 (and (=> @t79 (= @t78 @t3)) (=> @t11 (= @t78 @t77))))) % 58.01/58.29 (assume @p31 (forall @t80 (= (= @t30 @t22) (forall @t54 (= @t53 (or (= @t29 @t1) (= @t29 @t2))))))) % 58.01/58.29 (assume @p32 (forall @t80 (= (= @t30 @t24) (forall @t54 (= @t53 (or @t72 @t44)))))) % 58.01/58.29 (assume @p33 (forall @t80 (= (= @t30 @t82) (forall @t54 (= @t53 (exists (@list @t41 @t81) (and @t57 (tptp.in @t81 @t2) (= @t29 (tptp.ordered_pair @t41 @t81))))))))) % 58.01/58.29 (assume @p34 (forall @t12 (= @t13 (forall @t49 (not (and @t3 @t31 (not @t85) (not @t84) @t83)))))) % 58.01/58.29 (assume @p35 (forall @t12 (=> @t17 (forall @t67 (=> @t37 (= @t39 (forall @t34 (=> @t76 @t33)))))))) % 58.01/58.29 (assume @p36 (forall @t6 (= @t39 @t86))) % 58.01/58.29 (assume @p37 (forall @t80 (= (= @t30 @t25) (forall @t54 (= @t53 (and @t72 @t44)))))) % 58.01/58.29 (assume @p38 (forall @t12 (=> @t56 (forall @t49 (and (=> @t89 (= @t88 @t90)) (=> (not @t89) (= @t88 (= @t30 tptp.empty_set)))))))) % 58.01/58.29 (assume @p39 (forall @t12 (= @t16 @t15))) % 58.01/58.29 (assume @p40 (forall @t12 (=> @t17 (forall @t67 (= (= @t2 @t51) (forall @t59 (= @t73 (exists @t54 @t76)))))))) % 58.01/58.29 (assume @p41 (forall @t12 (= @t91 @t1))) % 58.01/58.29 (assume @p42 (forall @t6 (= (= @t2 @t92) (forall @t59 (= @t73 (exists @t54 (and @t71 @t72))))))) % 58.01/58.29 (assume @p43 (forall @t80 (= (= @t30 @t93) (forall @t54 (= @t53 (and @t72 (not @t44))))))) % 58.01/58.29 (assume @p44 (forall @t12 (=> @t56 (forall @t67 (= @t96 (forall @t59 (= @t73 (exists @t54 @t94)))))))) % 58.01/58.29 (assume @p45 (forall @t12 (=> @t17 (forall @t67 (= @t96 (forall @t59 (= @t73 (exists @t54 @t97)))))))) % 58.01/58.29 (assume @p46 (forall @t6 (=> @t99 (= @t98 @t93)))) % 58.01/58.29 (assume @p47 (forall @t6 (= @t100 (tptp.unordered_pair @t22 @t65)))) % 58.01/58.29 (assume @p48 (forall @t12 (= @t101 (= @t1 @t92)))) % 58.01/58.29 (assume @p49 (forall @t12 (=> @t17 (= (tptp.relation_field @t1) (tptp.set_union2 @t51 @t95))))) % 58.01/58.29 (assume @p50 (forall @t12 (=> @t17 (forall @t67 (=> @t37 (= (= @t2 @t102) (forall @t34 (= @t33 @t97)))))))) % 58.01/58.29 (assume @p51 (forall @t6 (= @t103 (= @t25 tptp.empty_set)))) % 58.01/58.29 (assume @p52 (forall @t12 (=> @t56 (= @t18 (forall @t49 (=> (and @t89 (tptp.in @t30 @t51) (= @t87 (tptp.apply @t1 @t30))) @t84)))))) % 58.01/58.29 (assume @p53 (forall @t12 (=> @t17 (forall @t67 (=> @t37 (forall @t59 (=> @t48 (= (= @t30 @t104) (forall @t46 (= @t45 (exists (@list @t81) (and (tptp.in (tptp.ordered_pair @t29 @t81) @t1) (tptp.in (tptp.ordered_pair @t81 @t41) @t2))))))))))))) % 58.01/58.29 (assume @p54 (forall @t6 (=> @t107 (forall @t59 (=> (tptp.element @t30 @t106) (= (= @t30 @t105) (forall @t54 (=> (tptp.element @t29 @t75) (= @t53 (tptp.in (tptp.subset_complement @t1 @t29) @t2)))))))))) % 58.01/58.29 (assume @p55 @t109) % 58.01/58.29 (assume @p56 (forall @t12 (=> @t56 (=> @t18 (= @t110 @t102))))) % 58.01/58.29 (assume @p57 true) % 58.01/58.29 (assume @p58 (forall @t12 (=> @t56 (and (tptp.relation @t110) (tptp.function @t110))))) % 58.01/58.29 (assume @p59 (forall @t12 (tptp.element @t91 @t75))) % 58.01/58.29 (assume @p60 (forall @t6 (=> @t99 (tptp.element @t98 @t75)))) % 58.01/58.29 (assume @p61 (forall @t12 (=> @t17 @t111))) % 58.01/58.29 (assume @p62 (forall @t6 (=> @t113 @t112))) % 58.01/58.29 (assume @p63 (forall @t6 (=> @t107 (tptp.element @t114 @t75)))) % 58.01/58.29 (assume @p64 (forall @t12 @t115)) % 58.01/58.29 (assume @p65 (forall @t6 (=> @t107 (tptp.element @t116 @t75)))) % 58.01/58.29 (assume @p66 (forall @t80 (=> @t119 (tptp.element @t117 @t75)))) % 58.01/58.29 (assume @p67 (forall @t6 (=> @t17 @t120))) % 58.01/58.29 (assume @p68 (forall @t6 (=> @t107 (tptp.element @t105 @t106)))) % 58.01/58.29 (assume @p69 (forall @t6 (=> @t37 (tptp.relation @t58)))) % 58.01/58.29 (assume @p70 (forall @t12 (exists @t67 @t78))) % 58.01/58.29 (assume @p71 (forall @t6 (=> @t122 (and (tptp.empty @t121) (tptp.relation @t121))))) % 58.01/58.29 (assume @p72 (forall @t12 (=> @t11 (and (tptp.empty @t102) @t111)))) % 58.01/58.29 (assume @p73 (and @t125 @t124 @t123)) % 58.01/58.29 (assume @p74 (forall @t6 (=> @t127 (and @t120 (tptp.relation_empty_yielding @t47))))) % 58.01/58.29 (assume @p75 (forall @t6 (=> (and @t17 @t10 @t37 @t128) (and @t112 (tptp.function @t104))))) % 58.01/58.29 (assume @p76 (forall @t12 @t129)) % 58.01/58.29 (assume @p77 (forall @t6 (=> @t113 (tptp.relation @t25)))) % 58.01/58.29 (assume @p78 (forall @t12 (not (tptp.empty @t75)))) % 58.01/58.29 (assume @p79 @t125) % 58.01/58.29 (assume @p80 (forall @t6 (not (tptp.empty @t100)))) % 58.01/58.29 (assume @p81 (forall @t12 (and @t115 (tptp.function @t35)))) % 58.01/58.29 (assume @p82 (and @t124 @t123 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t125 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 58.01/58.29 (assume @p83 (forall @t6 (=> @t113 (tptp.relation @t24)))) % 58.01/58.29 (assume @p84 (forall @t12 (not (tptp.empty @t65)))) % 58.01/58.29 (assume @p85 (forall @t6 (=> @t79 (not (tptp.empty @t24))))) % 58.01/58.29 (assume @p86 (forall @t12 (=> @t19 (and @t111 (tptp.function @t102))))) % 58.01/58.29 (assume @p87 @t131) % 58.01/58.29 (assume @p88 (forall @t6 (=> @t113 (tptp.relation @t93)))) % 58.01/58.29 (assume @p89 (forall @t6 (not (tptp.empty @t22)))) % 58.01/58.29 (assume @p90 (forall @t6 (=> @t79 (not (tptp.empty @t23))))) % 58.01/58.29 (assume @p91 (forall @t6 (=> @t56 (and @t120 (tptp.function @t47))))) % 58.01/58.29 (assume @p92 @t133) % 58.01/58.29 (assume @p93 (and @t125 @t124)) % 58.01/58.29 (assume @p94 (forall @t6 (=> (and @t79 @t134) (not (tptp.empty @t82))))) % 58.01/58.29 (assume @p95 (forall @t12 (=> @t136 (not @t135)))) % 58.01/58.29 (assume @p96 (forall @t12 (=> @t136 (not @t137)))) % 58.01/58.29 (assume @p97 (forall @t12 (=> @t11 (and @t135 (tptp.relation @t51))))) % 58.01/58.29 (assume @p98 (forall @t12 (=> @t11 (and @t137 (tptp.relation @t95))))) % 58.01/58.29 (assume @p99 (forall @t6 (=> @t122 (and (tptp.empty @t104) @t112)))) % 58.01/58.29 (assume @p100 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 58.01/58.29 (assume @p101 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 58.01/58.29 (assume @p102 (forall @t6 (=> @t99 (= (tptp.subset_complement @t1 @t98) @t2)))) % 58.01/58.29 (assume @p103 (forall @t12 (=> @t17 (= (tptp.relation_inverse @t102) @t1)))) % 58.01/58.29 (assume @p104 (forall @t6 (=> @t107 (= (tptp.complements_of_subsets @t1 @t105) @t2)))) % 58.01/58.29 (assume @p105 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 58.01/58.29 (assume @p106 (forall @t12 (not (= @t65 tptp.empty_set)))) % 58.01/58.29 (assume @p107 (forall @t6 (=> @t5 (= (tptp.set_union2 @t65 @t2) @t2)))) % 58.01/58.29 (assume @p108 (forall @t6 (not (and @t138 @t5)))) % 58.01/58.29 (assume @p109 (forall @t6 (=> @t139 @t138))) % 58.01/58.29 (assume @p110 (forall @t6 (= (tptp.subset @t65 @t2) @t5))) % 58.01/58.29 (assume @p111 (forall @t6 (= (= @t93 tptp.empty_set) @t39))) % 58.01/58.29 (assume @p112 (forall @t6 (=> @t99 (forall @t59 (=> @t73 @t31))))) % 58.01/58.29 (assume @p113 (forall @t80 (=> @t39 (or @t31 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t30))))))) % 58.01/58.29 (assume @p114 (forall @t6 (= (tptp.subset @t1 @t140) (or @t70 (= @t1 @t140))))) % 58.01/58.29 (assume @p115 (forall @t6 (=> @t5 (tptp.subset @t1 @t141)))) % 58.01/58.29 (assume @p116 (forall @t64 (= (tptp.in @t100 (tptp.cartesian_product2 @t30 @t29)) (and @t142 (tptp.in @t2 @t29))))) % 58.01/58.29 (assume @p117 (forall @t6 (=> @t86 @t143))) % 58.01/58.29 (assume @p118 (forall @t80 (=> @t147 (= @t146 (and (tptp.in @t2 @t144) @t3))))) % 58.01/58.29 (assume @p119 (exists @t12 @t56)) % 58.01/58.29 (assume @p120 (exists @t12 @t21)) % 58.01/58.29 (assume @p121 (exists @t12 (and @t11 @t17))) % 58.01/58.29 (assume @p122 (forall @t12 (=> @t79 (exists @t67 (and @t99 @t134))))) % 58.01/58.29 (assume @p123 (exists @t12 @t11)) % 58.01/58.29 (assume @p124 (exists @t12 @t20)) % 58.01/58.29 (assume @p125 (exists @t12 (and @t17 @t10 @t18 @t11 @t14 @t13 @t16))) % 58.01/58.29 (assume @p126 (exists @t12 @t136)) % 58.01/58.29 (assume @p127 (forall @t12 (exists @t67 (and @t99 @t77)))) % 58.01/58.29 (assume @p128 (exists @t12 @t79)) % 58.01/58.29 (assume @p129 (exists @t12 @t19)) % 58.01/58.29 (assume @p130 (exists @t12 (and @t79 @t14 @t13 @t16))) % 58.01/58.29 (assume @p131 (exists @t12 @t127)) % 58.01/58.29 (assume @p132 (exists @t12 (and @t17 @t126 @t10))) % 58.01/58.29 (assume @p133 (forall @t6 (=> @t107 (= @t114 @t141)))) % 58.01/58.29 (assume @p134 (forall @t6 (=> @t107 (= @t116 (tptp.set_meet @t2))))) % 58.01/58.29 (assume @p135 (forall @t80 (=> @t119 (= @t117 @t148)))) % 58.01/58.29 (assume @p136 @t150) % 58.01/58.29 (assume @p137 (forall @t6 (=> @t28 (tptp.ordinal_subset @t1 @t1)))) % 58.01/58.29 (assume @p138 (forall @t6 (tptp.subset @t1 @t1))) % 58.01/58.29 (assume @p139 (forall @t6 (=> @t103 (tptp.disjoint @t2 @t1)))) % 58.01/58.29 (assume @p140 (forall @t12 (tptp.in @t1 @t66))) % 58.01/58.29 (assume @p141 (forall @t64 (not (and (= @t22 (tptp.unordered_pair @t30 @t29)) (not @t151) (not (= @t1 @t29)))))) % 58.01/58.29 (assume @p142 (forall @t80 (=> @t48 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t30))) (and @t5 (tptp.in @t1 @t152)))))) % 58.01/58.29 (assume @p143 (forall @t6 (=> @t37 (tptp.subset @t153 @t1)))) % 58.01/58.29 (assume @p144 (forall @t6 (=> @t37 (tptp.subset @t58 @t2)))) % 58.01/58.29 (assume @p145 (forall @t6 (=> @t37 (tptp.subset @t153 @t154)))) % 58.01/58.29 (assume @p146 (forall @t80 (=> @t39 (and (tptp.subset @t155 (tptp.cartesian_product2 @t2 @t30)) (tptp.subset (tptp.cartesian_product2 @t30 @t1) (tptp.cartesian_product2 @t30 @t2)))))) % 58.01/58.29 (assume @p147 (forall @t6 (=> @t37 (= @t153 (tptp.set_intersection2 @t154 @t1))))) % 58.01/58.29 (assume @p148 (forall @t64 (=> (and @t39 (tptp.subset @t30 @t29)) (tptp.subset @t155 (tptp.cartesian_product2 @t2 @t29))))) % 58.01/58.29 (assume @p149 (forall @t6 (=> @t39 (= @t24 @t2)))) % 58.01/58.29 (assume @p150 (forall @t12 (exists @t67 (and @t5 @t159 (forall @t59 (=> @t73 (tptp.in @t158 @t2))) @t157)))) % 58.01/58.29 (assume @p151 (forall @t80 (=> @t48 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t30) @t2) (tptp.relation_rng_restriction @t1 @t160))))) % 58.01/58.29 (assume @p152 (forall @t80 (=> @t48 (= (tptp.in @t1 (tptp.relation_image @t30 @t2)) (exists @t54 (and (tptp.in @t29 @t144) (tptp.in (tptp.ordered_pair @t29 @t1) @t30) @t44)))))) % 58.01/58.29 (assume @p153 (forall @t6 (=> @t37 (tptp.subset @t161 @t154)))) % 58.01/58.29 (assume @p154 (forall @t6 (=> @t164 (tptp.subset @t163 @t1)))) % 58.01/58.29 (assume @p155 (forall @t6 (=> @t37 (= @t161 (tptp.relation_image @t2 @t166))))) % 58.01/58.29 (assume @p156 (forall @t6 (=> @t37 (=> (tptp.subset @t1 @t165) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t161)))))) % 58.01/58.29 (assume @p157 (forall @t12 (=> @t17 (= (tptp.relation_image @t1 @t51) @t95)))) % 58.01/58.29 (assume @p158 (forall @t6 (=> @t164 (=> @t167 (= @t163 @t1))))) % 58.01/58.29 (assume @p159 (forall @t12 (=> @t17 (forall @t67 (=> @t37 (= @t168 (tptp.relation_image @t2 @t95))))))) % 58.01/58.29 (assume @p160 (forall @t80 (=> @t48 (= (tptp.in @t1 @t169) (exists @t54 (and (tptp.in @t29 @t152) (tptp.in (tptp.ordered_pair @t1 @t29) @t30) @t44)))))) % 58.01/58.29 (assume @p161 (forall @t6 (=> @t37 (tptp.subset @t162 @t165)))) % 58.01/58.29 (assume @p162 (forall @t6 (=> @t37 (not (and @t74 @t167 (= @t162 tptp.empty_set)))))) % 58.01/58.29 (assume @p163 (forall @t80 (=> @t48 (=> @t39 (tptp.subset (tptp.relation_inverse_image @t30 @t1) @t169))))) % 58.01/58.29 (assume @p164 (forall @t6 (tptp.subset @t25 @t1))) % 58.01/58.29 (assume @p165 (forall @t80 (=> (and @t39 @t171) (tptp.subset @t1 @t170)))) % 58.01/58.29 (assume @p166 (forall @t12 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 58.01/58.29 (assume @p167 (forall @t6 (=> @t5 @t172))) % 58.01/58.29 (assume @p168 (forall @t80 (=> (and @t39 (tptp.subset @t2 @t30)) @t171))) % 58.01/58.29 (assume @p169 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 58.01/58.29 (assume @p170 (forall @t80 (=> @t48 (=> @t174 (and @t173 (tptp.in @t2 @t152)))))) % 58.01/58.29 (assume @p171 (forall @t6 (=> @t164 (forall @t59 (=> @t147 (= @t177 (and @t173 (tptp.in @t175 @t165)))))))) % 58.01/58.29 (assume @p172 @t181) % 58.01/58.29 (assume @p173 (forall @t12 (=> @t17 (tptp.subset @t1 (tptp.cartesian_product2 @t51 @t95))))) % 58.01/58.29 (assume @p174 (forall @t6 (=> @t164 (forall @t59 (=> @t147 (=> @t177 (= (tptp.apply @t176 @t1) (tptp.apply @t2 @t175)))))))) % 58.01/58.29 (assume @p175 (forall @t6 (=> @t164 (forall @t59 (=> @t147 (=> (tptp.in @t1 @t165) (= (tptp.apply (tptp.relation_composition @t2 @t30) @t1) (tptp.apply @t30 (tptp.apply @t2 @t1))))))))) % 58.01/58.29 (assume @p176 (forall @t6 (=> @t27 (=> @t5 @t16)))) % 58.01/58.29 (assume @p177 (forall @t12 (=> @t16 (forall @t67 (=> @t27 (not (and @t139 @t108 @t4))))))) % 58.01/58.29 (assume @p178 (forall @t12 (=> @t17 (forall @t67 (=> @t37 (=> @t39 (and (tptp.subset @t51 @t165) (tptp.subset @t95 @t154)))))))) % 58.01/58.29 (assume @p179 (forall @t80 (=> @t39 (tptp.subset (tptp.set_intersection2 @t1 @t30) @t170)))) % 58.01/58.29 (assume @p180 (forall @t6 (=> @t39 (= @t25 @t1)))) % 58.01/58.29 (assume @p181 (forall @t12 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 58.01/58.29 (assume @p182 (forall @t6 (=> @t172 (or @t77 @t5)))) % 58.01/58.29 (assume @p183 (forall @t6 (=> (forall @t59 (= @t31 @t73)) @t40))) % 58.01/58.29 (assume @p184 (forall @t12 (tptp.subset tptp.empty_set @t1))) % 58.01/58.29 (assume @p185 (forall @t80 (=> @t48 (=> @t174 (and (tptp.in @t1 @t182) (tptp.in @t2 @t182)))))) % 58.01/58.29 (assume @p186 (forall @t12 (=> (forall @t67 (=> @t3 (and @t27 @t38))) @t16))) % 58.01/58.29 (assume @p187 (forall @t6 (=> @t27 (not (and @t39 @t74 (forall @t59 (=> (tptp.ordinal @t30) (not (and @t31 (forall @t54 (=> (tptp.ordinal @t29) (=> @t72 (tptp.ordinal_subset @t30 @t29))))))))))))) % 58.01/58.29 (assume @p188 @t186) % 58.01/58.29 (assume @p189 (forall @t80 (=> @t39 (tptp.subset (tptp.set_difference @t1 @t30) @t148)))) % 58.01/58.29 (assume @p190 (forall @t64 (=> (= @t100 @t32) (and @t151 (= @t2 @t29))))) % 58.01/58.29 (assume @p191 (forall @t6 (=> @t164 (= @t36 (and (= @t165 @t1) (forall @t59 (=> @t31 (= @t187 @t30)))))))) % 58.01/58.29 (assume @p192 (forall @t6 (=> @t3 (= (tptp.apply @t35 @t2) @t2)))) % 58.01/58.29 (assume @p193 (forall @t6 (tptp.subset @t93 @t1))) % 58.01/58.29 (assume @p194 (forall @t12 (=> @t17 (and (= @t95 (tptp.relation_dom @t102)) (= @t51 (tptp.relation_rng @t102)))))) % 58.01/58.29 (assume @p195 (forall @t80 (= (tptp.subset @t22 @t30) (and @t142 @t85)))) % 58.01/58.29 (assume @p196 (forall @t6 (= @t188 @t24))) % 58.01/58.29 (assume @p197 (forall @t12 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 58.01/58.29 (assume @p198 (forall @t80 (not (and @t5 @t85 @t31)))) % 58.01/58.29 (assume @p199 (forall @t6 (= @t143 @t39))) % 58.01/58.29 (assume @p200 (forall @t6 (and (not (and @t190 (forall @t59 (not @t189)))) (not (and (exists @t59 @t189) @t103))))) % 58.01/58.29 (assume @p201 (forall @t12 (=> (tptp.subset @t1 tptp.empty_set) @t70))) % 58.01/58.29 (assume @p202 (forall @t6 (= (tptp.set_difference @t24 @t2) @t93))) % 58.01/58.29 (assume @p203 @t197) % 58.01/58.29 (assume @p204 @t211) % 58.01/58.29 (assume @p205 (forall @t6 (=> @t99 (forall @t59 (=> @t118 (= @t213 (tptp.subset @t2 @t212))))))) % 58.01/58.29 (assume @p206 (forall @t12 (=> @t17 (forall @t67 (=> @t37 (tptp.subset @t214 @t51)))))) % 58.01/58.29 (assume @p207 (forall @t12 (=> @t17 (forall @t67 (=> @t37 (tptp.subset @t168 @t154)))))) % 58.01/58.29 (assume @p208 (forall @t6 (=> @t39 (= @t2 @t188)))) % 58.01/58.29 (assume @p209 (forall @t12 (=> @t17 (forall @t67 (=> @t37 (=> (tptp.subset @t95 @t165) (= @t214 @t51))))))) % 58.01/58.29 (assume @p210 (forall @t6 (=> @t107 (not (and @t215 (= @t105 tptp.empty_set)))))) % 58.01/58.29 (assume @p211 (forall @t12 (=> @t17 (forall @t67 (=> @t37 (=> (tptp.subset @t51 @t154) (= (tptp.relation_rng @t121) @t95))))))) % 58.01/58.29 (assume @p212 (forall @t6 (=> @t107 (=> @t215 (= (tptp.subset_difference @t1 @t91 @t114) (tptp.meet_of_subsets @t1 @t105)))))) % 58.01/58.29 (assume @p213 (forall @t6 (=> @t107 (=> @t215 (= (tptp.union_of_subsets @t1 @t105) (tptp.subset_difference @t1 @t91 @t116)))))) % 58.01/58.29 (assume @p214 (forall @t6 (= (tptp.set_difference @t1 @t93) @t25))) % 58.01/58.29 (assume @p215 (forall @t12 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 58.01/58.29 (assume @p216 (forall @t80 (=> (and @t5 @t216) (tptp.element @t1 @t30)))) % 58.01/58.29 (assume @p217 (forall @t6 (and (not (and @t190 (forall @t59 (not @t217)))) (not (and (exists @t59 @t217) @t103))))) % 58.01/58.29 (assume @p218 (forall @t12 (=> @t74 (forall @t67 (=> @t99 (forall @t59 (=> (tptp.element @t30 @t1) (=> @t83 (tptp.in @t30 @t98))))))))) % 58.01/58.29 (assume @p219 (forall @t12 (=> @t56 (=> @t18 (forall @t67 (=> @t164 (= (= @t2 @t110) (and (= @t165 @t95) (forall @t34 (and (=> @t218 @t94) (=> @t94 @t218))))))))))) % 58.01/58.29 (assume @p220 (forall @t80 (=> @t118 (not (and (tptp.in @t2 @t212) @t85))))) % 58.01/58.29 (assume @p221 (forall @t12 (=> @t56 (=> @t18 (and (= @t95 (tptp.relation_dom @t110)) (= @t51 (tptp.relation_rng @t110))))))) % 58.01/58.29 (assume @p222 (forall @t12 (=> @t17 (=> (forall @t49 (not @t90)) @t70)))) % 58.01/58.29 (assume @p223 (forall @t6 (=> @t164 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t154)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t219 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t219 @t2) @t1))))))) % 58.01/58.29 (assume @p224 (forall @t80 (not (and @t5 @t216 (tptp.empty @t30))))) % 58.01/58.29 (assume @p225 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 58.01/58.29 (assume @p226 (forall @t6 (not (and @t39 @t8)))) % 58.01/58.29 (assume @p227 (forall @t12 (=> @t56 (=> @t18 (tptp.one_to_one @t110))))) % 58.01/58.29 (assume @p228 (forall @t80 (=> (and @t39 @t213) (tptp.disjoint @t1 @t30)))) % 58.01/58.29 (assume @p229 (forall @t12 (=> @t17 (=> (or @t221 @t220) @t70)))) % 58.01/58.29 (assume @p230 (forall @t12 (=> @t17 (= @t221 @t220)))) % 58.01/58.29 (assume @p231 (forall @t6 (= (= (tptp.set_difference @t1 @t140) @t1) @t4))) % 58.01/58.29 (assume @p232 (forall @t6 (=> @t164 (forall @t59 (=> @t147 (= (= @t2 @t145) (and (= @t165 (tptp.set_intersection2 @t144 @t1)) (forall @t54 (=> (tptp.in @t29 @t165) (= (tptp.apply @t2 @t29) (tptp.apply @t30 @t29))))))))))) % 58.01/58.29 (assume @p233 (forall @t12 (= (tptp.unordered_pair @t1 @t1) @t65))) % 58.01/58.29 (assume @p234 (forall @t12 (=> @t11 @t70))) % 58.01/58.29 (assume @p235 (forall @t6 (=> (tptp.subset @t65 @t140) @t40))) % 58.01/58.29 (assume @p236 (forall @t80 (=> @t147 (=> @t146 @t222)))) % 58.01/58.29 (assume @p237 (forall @t12 (and (= (tptp.relation_dom @t35) @t1) (= (tptp.relation_rng @t35) @t1)))) % 58.01/58.29 (assume @p238 (forall @t80 (=> @t147 (=> @t3 @t222)))) % 58.01/58.29 (assume @p239 (forall @t64 (=> (tptp.relation @t29) (= (tptp.in @t100 (tptp.relation_composition (tptp.identity_relation @t30) @t29)) (and @t142 (tptp.in @t100 @t29)))))) % 58.01/58.29 (assume @p240 (forall @t6 (not (and @t5 @t77)))) % 58.01/58.29 (assume @p241 (forall @t6 (not (and @t5 (forall @t59 (not (and @t73 (forall @t54 (not (and @t44 @t53)))))))))) % 58.01/58.29 (assume @p242 (forall @t6 (tptp.subset @t1 @t24))) % 58.01/58.29 (assume @p243 (forall @t6 (= @t103 (= @t93 @t1)))) % 58.01/58.29 (assume @p244 (forall @t80 (=> @t48 (= (tptp.in @t1 (tptp.relation_dom @t160)) (and @t5 @t173))))) % 58.01/58.29 (assume @p245 (forall @t6 (=> @t37 (tptp.subset @t223 @t2)))) % 58.01/58.29 (assume @p246 (forall @t6 (not (and @t11 @t108 @t77)))) % 58.01/58.29 (assume @p247 (forall @t80 (=> @t147 (= @t174 (and @t173 (= @t2 @t175)))))) % 58.01/58.29 (assume @p248 (forall @t80 (=> (and @t39 @t156) (tptp.subset (tptp.set_union2 @t1 @t30) @t2)))) % 58.01/58.29 (assume @p249 (forall @t80 (=> @t224 @t40))) % 58.01/58.29 (assume @p250 (forall @t6 (=> @t37 (= (tptp.relation_dom @t223) @t166)))) % 58.01/58.29 (assume @p251 (forall @t6 (=> @t37 (= @t223 (tptp.relation_composition @t35 @t2))))) % 58.01/58.29 (assume @p252 (forall @t6 (=> @t37 (tptp.subset (tptp.relation_rng @t223) @t154)))) % 58.01/58.29 (assume @p253 (forall @t12 (= (tptp.union @t75) @t1))) % 58.01/58.29 (assume @p254 (forall @t12 (exists @t67 (and @t5 @t159 (forall @t59 (not (and @t73 (forall @t54 (not (and @t44 (forall @t52 (=> (tptp.subset @t41 @t30) @t63)))))))) @t157)))) % 58.01/58.29 (assume @p255 (forall @t80 (=> @t224 @t84))) % 58.01/58.29 (step @p256 :rule bool-double-not-elim :args (@t237)) % 58.01/58.29 (step @p257 :rule refl :args (@t245)) % 58.01/58.29 (step @p258 :rule nary_cong :premises (@p257 @p256) :args ((or @t245 (not @t244)))) % 58.01/58.29 (step @p259 :rule cnf_or_neg :args (@t245 0)) % 58.01/58.29 (step @p260 :rule eq_resolve :premises (@p259 @p258)) % 58.01/58.29 (step @p261 :rule reordering :premises (@p260) :args ((or @t237 @t245))) % 58.01/58.29 (step @p262 :rule bool-impl-elim :args (@t16 @t247)) % 58.01/58.29 (step @p263 :rule cong :premises (@p262) :args ((forall @t12 (=> @t16 @t247)))) % 58.01/58.29 (step @p264 :rule aci_norm :args ((= (or @t229 (or @t4 @t192)) @t246))) % 58.01/58.29 (step @p265 :rule bool-impl-elim :args (@t3 @t192)) % 58.01/58.29 (step @p266 :rule refl :args (@t229)) % 58.01/58.29 (step @p267 :rule nary_cong :premises (@p266 @p265) :args ((or @t229 @t193))) % 58.01/58.29 (step @p268 :rule trans :premises (@p267 @p264)) % 58.01/58.29 (step @p269 :rule bool-impl-elim :args (@t27 @t193)) % 58.01/58.29 (step @p270 :rule trans :premises (@p269 @p268)) % 58.01/58.29 (step @p271 :rule cong :premises (@p270) :args (@t194)) % 58.01/58.29 (step @p272 :rule refl :args (@t101)) % 58.01/58.29 (step @p273 :rule cong :premises (@p272 @p271) :args (@t195)) % 58.01/58.29 (step @p274 :rule refl :args (@t16)) % 58.01/58.29 (step @p275 :rule cong :premises (@p274 @p273) :args (@t196)) % 58.01/58.29 (step @p276 :rule cong :premises (@p275) :args (@t197)) % 58.01/58.29 (step @p277 :rule trans :premises (@p276 @p263)) % 58.01/58.29 (step @p278 :rule eq_resolve :premises (@p203 @p277)) % 58.01/58.29 (step @p279 :rule instantiate :premises (@p278) :args (@t248)) % 58.01/58.29 (step @p280 :rule aci_norm :args ((= @t250 @t228))) % 58.01/58.29 (step @p281 :rule refl :args (@t232)) % 58.01/58.29 (step @p282 :rule nary_cong :premises (@p281 @p280) :args (@t251)) % 58.01/58.29 (step @p283 :rule refl :args (@t233)) % 58.01/58.29 (step @p284 :rule nary_cong :premises (@p283 @p282) :args (@t252)) % 58.01/58.29 (step @p285 :rule cong :premises (@p284) :args (@t253)) % 58.01/58.29 (step @p286 :rule quant-merge-prenex :args ((= (forall @t12 @t255) @t253))) % 58.01/58.29 (step @p287 :rule refl :args (@t205)) % 58.01/58.29 (step @p288 :rule alpha_equiv :args (@t256 (@list @t225) @t257)) % 58.01/58.29 (step @p289 :rule nary_cong :premises (@p288 @p287) :args (@t258)) % 58.01/58.29 (step @p290 :rule quant-miniscope-or :args ((= @t259 @t258))) % 58.01/58.29 (step @p291 :rule trans :premises (@p290 @p289)) % 58.01/58.29 (step @p292 :rule quant-unused-vars :args ((= @t260 @t232))) % 58.01/58.29 (step @p293 :rule nary_cong :premises (@p292 @p291) :args (@t261)) % 58.01/58.29 (step @p294 :rule quant-miniscope-and :args ((= @t262 @t261))) % 58.01/58.29 (step @p295 :rule trans :premises (@p294 @p293)) % 58.01/58.29 (step @p296 :rule refl :args (@t233)) % 58.01/58.29 (step @p297 :rule nary_cong :premises (@p296 @p295) :args (@t263)) % 58.01/58.29 (step @p298 :rule quant-miniscope-or :args ((= @t255 @t263))) % 58.01/58.29 (step @p299 :rule trans :premises (@p298 @p297)) % 58.01/58.29 (step @p300 :rule symm :premises (@p299)) % 58.01/58.29 (step @p301 :rule cong :premises (@p300) :args ((forall @t12 (or @t233 (and @t232 (or @t230 @t205)))))) % 58.01/58.29 (step @p302 :rule trans :premises (@p301 @p286)) % 58.01/58.29 (step @p303 :rule trans :premises (@p302 @p285)) % 58.01/58.29 (step @p304 :rule bool-double-not-elim :args (@t230)) % 58.01/58.29 (step @p305 :rule nary_cong :premises (@p304 @p287) :args ((or (not @t231) @t205))) % 58.01/58.29 (step @p306 :rule bool-and-de-morgan :args (@t231 @t101 true)) % 58.01/58.29 (step @p307 :rule trans :premises (@p306 @p305)) % 58.01/58.29 (step @p308 :rule refl :args (@t231)) % 58.01/58.29 (step @p309 :rule bool-double-not-elim :args (@t101)) % 58.01/58.29 (step @p310 :rule nary_cong :premises (@p309 @p308) :args ((or (not @t205) @t231))) % 58.01/58.29 (step @p311 :rule bool-and-de-morgan :args (@t205 @t230 true)) % 58.01/58.29 (step @p312 :rule trans :premises (@p311 @p310)) % 58.01/58.29 (step @p313 :rule nary_cong :premises (@p312 @p307) :args (@t264)) % 58.01/58.29 (step @p314 :rule nary_cong :premises (@p296 @p313) :args ((or @t233 @t264))) % 58.01/58.29 (step @p315 :rule bool-impl-elim :args (@t16 @t264)) % 58.01/58.29 (step @p316 :rule trans :premises (@p315 @p314)) % 58.01/58.29 (step @p317 :rule cong :premises (@p316) :args ((forall @t12 (=> @t16 @t264)))) % 58.01/58.29 (step @p318 :rule trans :premises (@p317 @p303)) % 58.01/58.29 (step @p319 :rule bool-and-de-morgan :args (@t27 @t198 true)) % 58.01/58.29 (step @p320 :rule cong :premises (@p319) :args (@t265)) % 58.01/58.29 (step @p321 :rule cong :premises (@p320) :args (@t266)) % 58.01/58.29 (step @p322 :rule exists-elim :args ((= @t200 @t266))) % 58.01/58.29 (step @p323 :rule trans :premises (@p322 @p321)) % 58.01/58.29 (step @p324 :rule nary_cong :premises (@p323 @p272) :args (@t201)) % 58.01/58.29 (step @p325 :rule cong :premises (@p324) :args (@t202)) % 58.01/58.29 (step @p326 :rule bool-impl-elim :args (@t27 @t203)) % 58.01/58.29 (step @p327 :rule cong :premises (@p326) :args (@t204)) % 58.01/58.29 (step @p328 :rule refl :args (@t205)) % 58.01/58.29 (step @p329 :rule nary_cong :premises (@p328 @p327) :args (@t206)) % 58.01/58.29 (step @p330 :rule cong :premises (@p329) :args (@t207)) % 58.01/58.29 (step @p331 :rule nary_cong :premises (@p330 @p325) :args (@t208)) % 58.01/58.29 (step @p332 :rule cong :premises (@p274 @p331) :args (@t209)) % 58.01/58.29 (step @p333 :rule cong :premises (@p332) :args (@t210)) % 58.01/58.29 (step @p334 :rule trans :premises (@p333 @p318)) % 58.01/58.29 (step @p335 :rule cong :premises (@p334) :args (@t211)) % 58.01/58.29 (step @p336 :rule eq_resolve :premises (@p204 @p335)) % 58.01/58.29 (step @p337 :rule refl :args (@t274)) % 58.01/58.29 (step @p338 :rule bool-double-not-elim :args (@t235)) % 58.01/58.29 (step @p339 :rule nary_cong :premises (@p338 @p337) :args ((or (not @t275) @t274))) % 58.01/58.29 (step @p340 :rule eq-symm :args (@t236 @t191)) % 58.01/58.29 (step @p341 :rule cong :premises (@p340) :args (@t276)) % 58.01/58.29 (step @p342 :rule refl :args (@t229)) % 58.01/58.29 (step @p343 :rule nary_cong :premises (@p342 @p341) :args (@t277)) % 58.01/58.29 (step @p344 :rule cong :premises (@p343) :args (@t278)) % 58.01/58.29 (step @p345 :rule cong :premises (@p344) :args (@t279)) % 58.01/58.29 (step @p346 :rule refl :args (@t237)) % 58.01/58.29 (step @p347 :rule nary_cong :premises (@p346 @p345) :args (@t280)) % 58.01/58.29 (step @p348 :rule nary_cong :premises (@p347 @p257) :args (@t281)) % 58.01/58.29 (step @p349 :rule refl :args (@t272)) % 58.01/58.29 (step @p350 :rule nary_cong :premises (@p349 @p348) :args (@t282)) % 58.01/58.29 (step @p351 :rule cong :premises (@p350) :args (@t283)) % 58.01/58.29 (step @p352 :rule refl :args (@t275)) % 58.01/58.29 (step @p353 :rule cong :premises (@p352 @p351) :args ((=> @t275 @t283))) % 58.01/58.29 (assume-push @p662 @t275) % 58.01/58.29 (step @p355 :rule skolemize :premises (@p336)) % 58.01/58.29 (step-pop @p663 :rule scope :premises (@p355)) % 58.01/58.29 (step @p356 :rule process_scope :premises (@p663) :args (@t283)) % 58.01/58.29 (step @p358 :rule eq_resolve :premises (@p356 @p353)) % 58.01/58.29 (step @p359 :rule implies_elim :premises (@p358)) % 58.01/58.29 (step @p360 :rule eq_resolve :premises (@p359 @p339)) % 58.01/58.29 (step @p361 :rule chain_m_resolution :premises (@p360 @p336) :args (@t274 @t284 (@list @t235))) % 58.01/58.29 (step @p362 :rule bool-double-not-elim :args (@t271)) % 58.01/58.29 (step @p363 :rule refl :args (@t273)) % 58.01/58.29 (step @p364 :rule nary_cong :premises (@p363 @p362) :args ((or @t273 (not @t272)))) % 58.01/58.29 (step @p365 :rule cnf_or_neg :args (@t273 0)) % 58.01/58.29 (step @p366 :rule eq_resolve :premises (@p365 @p364)) % 58.01/58.29 (step @p367 :rule reordering :premises (@p366) :args ((or @t271 @t273))) % 58.01/58.29 (step @p368 :rule chain_m_resolution :premises (@p367 @p361) :args (@t271 @t284 @t285)) % 58.01/58.29 (step @p369 :rule cnf_or_pos :args (@t288)) % 58.01/58.29 (step @p370 :rule reordering :premises (@p369) :args ((or @t272 @t287 (not @t288)))) % 58.01/58.29 (step @p371 :rule chain_m_resolution :premises (@p370 @p368 @p279) :args (@t287 @t289 (@list @t271 @t288))) % 58.01/58.29 (step @p372 :rule cnf_equiv_pos2 :args (@t287)) % 58.01/58.29 (step @p373 :rule reordering :premises (@p372) :args ((or @t237 @t290 (not @t287)))) % 58.01/58.29 (step @p374 :rule cnf_or_neg :args (@t273 1)) % 58.01/58.29 (step @p375 :rule chain_m_resolution :premises (@p374 @p361) :args ((not @t270) @t284 @t285)) % 58.01/58.29 (step @p376 :rule cnf_and_neg :args (@t270)) % 58.01/58.29 (step @p377 :rule refl :args (@t299)) % 58.01/58.29 (step @p378 :rule bool-double-not-elim :args (@t286)) % 58.01/58.29 (step @p379 :rule nary_cong :premises (@p378 @p377) :args ((or (not @t290) @t299))) % 58.01/58.29 (assume-push @p664 @t290) % 58.01/58.29 (step @p381 :rule skolemize :premises (@p664)) % 58.01/58.29 (step-pop @p665 :rule scope :premises (@p381)) % 58.01/58.29 (step @p382 :rule process_scope :premises (@p665) :args (@t299)) % 58.01/58.29 (step @p384 :rule implies_elim :premises (@p382)) % 58.01/58.29 (step @p385 :rule eq_resolve :premises (@p384 @p379)) % 58.01/58.29 (step @p386 :rule bool-double-not-elim :args (@t267)) % 58.01/58.29 (step @p387 :rule refl :args (@t269)) % 58.01/58.29 (step @p388 :rule nary_cong :premises (@p387 @p386) :args ((or @t269 (not @t268)))) % 58.01/58.29 (step @p389 :rule cnf_or_neg :args (@t269 1)) % 58.01/58.29 (step @p390 :rule eq_resolve :premises (@p389 @p388)) % 58.01/58.29 (step @p391 :rule reordering :premises (@p390) :args ((or @t267 @t269))) % 58.01/58.29 (step @p392 :rule bool-double-not-elim :args (@t296)) % 58.01/58.29 (step @p393 :rule refl :args (@t298)) % 58.01/58.29 (step @p394 :rule nary_cong :premises (@p393 @p392) :args ((or @t298 (not @t297)))) % 58.01/58.29 (step @p395 :rule cnf_or_neg :args (@t298 0)) % 58.01/58.29 (step @p396 :rule eq_resolve :premises (@p395 @p394)) % 58.01/58.29 (step @p397 :rule reordering :premises (@p396) :args ((or @t296 @t298))) % 58.01/58.29 (step @p398 :rule bool-double-not-elim :args (@t294)) % 58.01/58.29 (step @p399 :rule nary_cong :premises (@p393 @p398) :args ((or @t298 (not @t295)))) % 58.01/58.29 (step @p400 :rule cnf_or_neg :args (@t298 1)) % 58.01/58.29 (step @p401 :rule eq_resolve :premises (@p400 @p399)) % 58.01/58.29 (step @p402 :rule reordering :premises (@p401) :args ((or @t294 @t298))) % 58.01/58.29 (step @p403 :rule cnf_or_neg :args (@t298 2)) % 58.01/58.29 (step @p404 :rule eq-symm :args (@t292 @t236)) % 58.01/58.29 (step @p405 :rule cong :premises (@p404) :args (@t300)) % 58.01/58.29 (step @p406 :rule refl :args (@t297)) % 58.01/58.29 (step @p407 :rule nary_cong :premises (@p406 @p405) :args (@t301)) % 58.01/58.29 (step @p408 :rule refl :args (@t267)) % 58.01/58.29 (step @p409 :rule cong :premises (@p408 @p407) :args ((=> @t267 @t301))) % 58.01/58.29 (assume-push @p666 @t267) % 58.01/58.29 (step @p411 :rule instantiate :premises (@p666) :args (@t302)) % 58.01/58.29 (step-pop @p667 :rule scope :premises (@p411)) % 58.01/58.29 (step @p412 :rule process_scope :premises (@p667) :args (@t301)) % 58.01/58.29 (step @p414 :rule eq_resolve :premises (@p412 @p409)) % 58.01/58.29 (step @p415 :rule implies_elim :premises (@p414)) % 58.01/58.29 (step @p416 :rule bool-impl-elim :args (@t16 @t130)) % 58.01/58.29 (step @p417 :rule cong :premises (@p416) :args (@t131)) % 58.01/58.29 (step @p418 :rule eq_resolve :premises (@p87 @p417)) % 58.01/58.29 (step @p419 :rule instantiate :premises (@p418) :args (@t302)) % 58.01/58.29 (step @p420 :rule cnf_or_pos :args (@t306)) % 58.01/58.29 (step @p421 :rule reordering :premises (@p420) :args ((or @t297 @t305 (not @t306)))) % 58.01/58.29 (step @p422 :rule aci_norm :args ((= @t311 (or @t233 @t309 @t308)))) % 58.01/58.29 (step @p423 :rule cong :premises (@p422) :args (@t312)) % 58.01/58.29 (step @p424 :rule quant-merge-prenex :args ((= (forall @t12 @t314) @t312))) % 58.01/58.29 (step @p425 :rule alpha_equiv :args (@t315 (@list @t307) @t257)) % 58.01/58.29 (step @p426 :rule nary_cong :premises (@p296 @p425) :args (@t316)) % 58.01/58.29 (step @p427 :rule quant-miniscope-or :args ((= @t314 @t316))) % 58.01/58.29 (step @p428 :rule trans :premises (@p427 @p426)) % 58.01/58.29 (step @p429 :rule symm :premises (@p428)) % 58.01/58.29 (step @p430 :rule cong :premises (@p429) :args ((forall @t12 (or @t233 @t317)))) % 58.01/58.29 (step @p431 :rule trans :premises (@p430 @p424)) % 58.01/58.29 (step @p432 :rule trans :premises (@p431 @p423)) % 58.01/58.29 (step @p433 :rule bool-impl-elim :args (@t16 @t317)) % 58.01/58.29 (step @p434 :rule cong :premises (@p433) :args ((forall @t12 (=> @t16 @t317)))) % 58.01/58.29 (step @p435 :rule trans :premises (@p434 @p432)) % 58.01/58.29 (step @p436 :rule bool-impl-elim :args (@t27 @t183)) % 58.01/58.29 (step @p437 :rule cong :premises (@p436) :args (@t184)) % 58.01/58.29 (step @p438 :rule cong :premises (@p274 @p437) :args (@t185)) % 58.01/58.29 (step @p439 :rule cong :premises (@p438) :args (@t186)) % 58.01/58.29 (step @p440 :rule trans :premises (@p439 @p435)) % 58.01/58.29 (step @p441 :rule eq_resolve :premises (@p188 @p440)) % 58.01/58.29 (step @p442 :rule instantiate :premises 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:rule quant-merge-prenex :args ((= (forall @t12 @t334) @t332))) % 58.01/58.29 (step @p456 :rule alpha_equiv :args (@t335 (@list @t325) @t257)) % 58.01/58.29 (step @p457 :rule refl :args (@t329)) % 58.01/58.29 (step @p458 :rule nary_cong :premises (@p457 @p456) :args (@t336)) % 58.01/58.29 (step @p459 :rule quant-miniscope-or :args ((= @t334 @t336))) % 58.01/58.29 (step @p460 :rule trans :premises (@p459 @p458)) % 58.01/58.29 (step @p461 :rule symm :premises (@p460)) % 58.01/58.29 (step @p462 :rule cong :premises (@p461) :args ((forall @t12 (or @t329 @t339)))) % 58.01/58.29 (step @p463 :rule trans :premises (@p462 @p455)) % 58.01/58.29 (step @p464 :rule trans :premises (@p463 @p454)) % 58.01/58.29 (step @p465 :rule bool-impl-elim :args (@t14 @t339)) % 58.01/58.29 (step @p466 :rule cong :premises (@p465) :args ((forall @t12 (=> @t14 @t339)))) % 58.01/58.29 (step @p467 :rule trans :premises (@p466 @p464)) % 58.01/58.29 (step @p468 :rule aci_norm :args ((= (or @t229 (or @t337 @t5)) @t338))) % 58.01/58.29 (step @p469 :rule bool-impl-elim :args (@t9 @t5)) % 58.01/58.29 (step @p470 :rule nary_cong :premises (@p266 @p469) :args ((or @t229 @t178))) % 58.01/58.29 (step @p471 :rule trans :premises (@p470 @p468)) % 58.01/58.29 (step @p472 :rule bool-impl-elim :args (@t27 @t178)) % 58.01/58.29 (step @p473 :rule trans :premises (@p472 @p471)) % 58.01/58.29 (step @p474 :rule cong :premises (@p473) :args (@t179)) % 58.01/58.29 (step @p475 :rule refl :args (@t14)) % 58.01/58.29 (step @p476 :rule cong :premises (@p475 @p474) :args (@t180)) % 58.01/58.29 (step @p477 :rule cong :premises (@p476) :args (@t181)) % 58.01/58.29 (step @p478 :rule trans :premises (@p477 @p467)) % 58.01/58.29 (step @p479 :rule eq_resolve :premises (@p172 @p478)) % 58.01/58.29 (step @p480 :rule instantiate :premises (@p479) :args (@t340)) % 58.01/58.29 (step @p481 :rule cnf_or_pos :args (@t344)) % 58.01/58.29 (step @p482 :rule reordering :premises (@p481) :args ((or @t272 @t293 @t343 @t342 (not @t344)))) % 58.01/58.29 (step @p483 :rule aci_norm :args ((= (or (or @t233 @t229) @t149) (or @t233 @t229 @t149)))) % 58.01/58.29 (step @p484 :rule refl :args (@t149)) % 58.01/58.29 (step @p485 :rule bool-and-de-morgan :args (@t16 @t27 true)) % 58.01/58.29 (step @p486 :rule nary_cong :premises (@p485 @p484) :args ((or (not @t28) @t149))) % 58.01/58.29 (step @p487 :rule trans :premises (@p486 @p483)) % 58.01/58.29 (step @p488 :rule bool-impl-elim :args (@t28 @t149)) % 58.01/58.29 (step @p489 :rule trans :premises (@p488 @p487)) % 58.01/58.29 (step @p490 :rule cong :premises (@p489) :args (@t150)) % 58.01/58.29 (step @p491 :rule eq_resolve :premises (@p136 @p490)) % 58.01/58.29 (step @p492 :rule instantiate :premises (@p491) :args (@t340)) % 58.01/58.29 (step @p493 :rule cnf_or_pos :args (@t348)) % 58.01/58.29 (step @p494 :rule reordering :premises (@p493) :args ((or @t272 @t347 @t346 (not @t348)))) % 58.01/58.29 (step @p495 :rule refl :args (@t345)) % 58.01/58.29 (step @p496 :rule nary_cong :premises (@p495 @p405) :args (@t349)) % 58.01/58.29 (step @p497 :rule refl :args (@t341)) % 58.01/58.29 (step @p498 :rule cong :premises (@p497 @p496) :args (@t350)) % 58.01/58.29 (step @p499 :rule refl :args (@t109)) % 58.01/58.29 (step @p500 :rule cong :premises (@p499 @p498) :args ((=> @t109 @t350))) % 58.01/58.29 (assume-push @p668 @t109) % 58.01/58.29 (step @p502 :rule instantiate :premises (@p55) :args (@t340)) % 58.01/58.29 (step-pop @p669 :rule scope :premises (@p502)) % 58.01/58.29 (step @p503 :rule process_scope :premises (@p669) :args (@t350)) % 58.01/58.29 (step @p505 :rule eq_resolve :premises (@p503 @p500)) % 58.01/58.29 (step @p506 :rule implies_elim :premises (@p505)) % 58.01/58.29 (step @p507 :rule chain_m_resolution :premises (@p506 @p55) :args (@t352 @t353 (@list @t109))) % 58.01/58.29 (step @p508 :rule cnf_equiv_pos2 :args (@t352)) % 58.01/58.29 (step @p509 :rule reordering :premises (@p508) :args ((or @t341 (not @t351) (not @t352)))) % 58.01/58.29 (step @p510 :rule cnf_equiv_pos1 :args (@t346)) % 58.01/58.29 (step @p511 :rule reordering :premises (@p510) :args ((or (not @t318) @t345 (not @t346)))) % 58.01/58.29 (step @p512 :rule bool-double-not-elim :args (@t321)) % 58.01/58.29 (step @p513 :rule refl :args (@t354)) % 58.01/58.29 (step @p514 :rule refl :args (@t351)) % 58.01/58.29 (step @p515 :rule nary_cong :premises (@p514 @p513 @p512) :args ((or @t351 @t354 (not @t322)))) % 58.01/58.29 (step @p516 :rule cnf_and_neg :args (@t351)) % 58.01/58.29 (step @p517 :rule eq_resolve :premises (@p516 @p515)) % 58.01/58.29 (step @p518 :rule reordering :premises (@p517) :args ((or @t321 @t351 @t354))) % 58.01/58.29 (step @p519 :rule chain_m_resolution :premises (@p518 @p511 @p509 @p507 @p494 @p492 @p368 @p482 @p480 @p368 @p452 @p450 @p448 @p446 @p444 @p442 @p368 @p421 @p419 @p415 @p403 @p402 @p397 @p391 @p385 @p376 @p375 @p373 @p371 @p261) :args (@t237 (@list false true false false false false true false false false false false true false false false false false false true false false false true true true true false false) (@list @t345 @t351 @t352 @t346 @t348 @t271 @t341 @t344 @t271 @t318 @t303 @t304 @t321 @t319 @t320 @t271 @t305 @t306 @t323 @t293 @t294 @t296 @t267 @t298 @t269 @t270 @t286 @t287 @t245))) % 58.01/58.29 (step @p520 :rule cnf_or_neg :args (@t269 0)) % 58.01/58.29 (step @p521 :rule reordering :premises (@p520) :args ((or @t244 @t269))) % 58.01/58.29 (step @p522 :rule chain_m_resolution :premises (@p521 @p519) :args (@t269 @t353 (@list @t237))) % 58.01/58.29 (step @p523 :rule chain_m_resolution :premises (@p376 @p375 @p522) :args ((not @t245) (@list true false) (@list @t270 @t269))) % 58.01/58.29 (step @p524 :rule bool-double-not-elim :args (@t242)) % 58.01/58.29 (step @p525 :rule nary_cong :premises (@p257 @p524) :args ((or @t245 (not @t243)))) % 58.01/58.29 (step @p526 :rule cnf_or_neg :args (@t245 1)) % 58.01/58.29 (step @p527 :rule eq_resolve :premises (@p526 @p525)) % 58.01/58.29 (step @p528 :rule reordering :premises (@p527) :args ((or @t242 @t245))) % 58.01/58.29 (step @p529 :rule chain_m_resolution :premises (@p528 @p523) :args (@t242 @t284 @t355)) % 58.01/58.29 (step @p530 :rule instantiate :premises (@p278) :args ((@list @t356))) % 58.01/58.29 (step @p531 :rule bool-impl-elim :args (@t16 @t132)) % 58.01/58.29 (step @p532 :rule cong :premises (@p531) :args (@t133)) % 58.01/58.29 (step @p533 :rule eq_resolve :premises (@p92 @p532)) % 58.01/58.29 (step @p534 :rule instantiate :premises (@p533) :args (@t248)) % 58.01/58.29 (step @p535 :rule cnf_or_pos :args (@t359)) % 58.01/58.29 (step @p536 :rule reordering :premises (@p535) :args ((or @t272 @t358 (not @t359)))) % 58.01/58.29 (step @p537 :rule chain_m_resolution :premises (@p536 @p368 @p534) :args (@t358 @t289 (@list @t271 @t359))) % 58.01/58.29 (step @p538 :rule cnf_and_pos :args (@t358 2)) % 58.01/58.29 (step @p539 :rule reordering :premises (@p538) :args ((or @t357 (not @t358)))) % 58.01/58.29 (step @p540 :rule chain_m_resolution :premises (@p539 @p537) :args (@t357 @t353 (@list @t358))) % 58.01/58.29 (step @p541 :rule cnf_or_pos :args (@t364)) % 58.01/58.29 (step @p542 :rule reordering :premises (@p541) :args ((or @t363 @t362 (not @t364)))) % 58.01/58.29 (step @p543 :rule chain_m_resolution :premises (@p542 @p540 @p530) :args (@t362 @t289 (@list @t357 @t364))) % 58.01/58.29 (step @p544 :rule instantiate :premises (@p48) :args (@t248)) % 58.01/58.29 (step @p545 :rule cnf_equiv_pos1 :args (@t366)) % 58.01/58.29 (step @p546 :rule reordering :premises (@p545) :args ((or @t244 @t365 (not @t366)))) % 58.01/58.29 (step @p547 :rule chain_m_resolution :premises (@p546 @p519 @p544) :args (@t365 @t289 (@list @t237 @t366))) % 58.01/58.29 (assume-push @p670 @t237) % 58.01/58.29 (assume-push @p671 @t365) % 58.01/58.29 (assume-push @p672 @t237) % 58.01/58.29 (assume-push @p673 @t365) % 58.01/58.29 (step @p552 :rule true_intro :premises (@p670)) % 58.01/58.29 (step @p553 :rule symm :premises (@p671)) % 58.01/58.29 (step @p554 :rule cong :premises (@p553) :args (@t361)) % 58.01/58.29 (step @p555 :rule trans :premises (@p554 @p552)) % 58.01/58.29 (step @p556 :rule true_elim :premises (@p555)) % 58.01/58.29 (step-pop @p674 :rule scope :premises (@p556)) % 58.01/58.29 (step-pop @p675 :rule scope :premises (@p674)) % 58.01/58.29 (step @p557 :rule process_scope :premises (@p675) :args (@t361)) % 58.01/58.29 (step @p560 :rule and_intro :premises (@p670 @p671)) % 58.01/58.29 (step @p561 :rule modus_ponens :premises (@p560 @p557)) % 58.01/58.29 (step-pop @p676 :rule scope :premises (@p561)) % 58.01/58.29 (step-pop @p677 :rule scope :premises (@p676)) % 58.01/58.29 (step @p562 :rule process_scope :premises (@p677) :args (@t361)) % 58.01/58.29 (step @p565 :rule implies_elim :premises (@p562)) % 58.01/58.29 (step @p566 :rule cnf_and_neg :args (@t367)) % 58.01/58.29 (step @p567 :rule resolution :premises (@p566 @p565) :args (true @t367)) % 58.01/58.29 (step @p568 :rule chain_m_resolution :premises (@p567 @p519 @p547) :args (@t361 @t289 (@list @t237 @t365))) % 58.01/58.29 (step @p569 :rule cnf_equiv_pos1 :args (@t362)) % 58.01/58.29 (step @p570 :rule reordering :premises (@p569) :args ((or @t360 (not @t361) (not @t362)))) % 58.01/58.29 (step @p571 :rule chain_m_resolution :premises (@p570 @p568 @p543) :args (@t360 @t289 (@list @t361 @t362))) % 58.01/58.29 (assume-push @p678 @t360) % 58.01/58.29 (step @p573 :rule instantiate :premises (@p678) :args (@t368)) % 58.01/58.29 (step-pop @p679 :rule scope :premises (@p573)) % 58.01/58.29 (step @p574 :rule process_scope :premises (@p679) :args (@t372)) % 58.01/58.29 (step @p576 :rule implies_elim :premises (@p574)) % 58.01/58.29 (step @p577 :rule chain_m_resolution :premises (@p576 @p571) :args (@t372 @t353 (@list @t360))) % 58.01/58.29 (step @p578 :rule bool-impl-elim :args (@t5 @t4)) % 58.01/58.29 (step @p579 :rule cong :premises (@p578) :args (@t7)) % 58.01/58.29 (step @p580 :rule eq_resolve :premises (@p1 @p579)) % 58.01/58.29 (step @p581 :rule aci_norm :args ((= @t375 @t374))) % 58.01/58.29 (step @p582 :rule refl :args (@t376)) % 58.01/58.29 (step @p583 :rule cong :premises (@p582 @p581) :args ((=> @t376 @t375))) % 58.01/58.29 (assume-push @p680 @t376) % 58.01/58.29 (step @p585 :rule instantiate :premises (@p580) :args ((@list @t236 @t236))) % 58.01/58.29 (step-pop @p681 :rule scope :premises (@p585)) % 58.01/58.29 (step @p586 :rule process_scope :premises (@p681) :args (@t375)) % 58.01/58.29 (step @p588 :rule eq_resolve :premises (@p586 @p583)) % 58.01/58.29 (step @p589 :rule implies_elim :premises (@p588)) % 58.01/58.29 (step @p590 :rule chain_m_resolution :premises (@p589 @p580) :args (@t374 @t353 (@list @t376))) % 58.01/58.29 (step @p591 :rule bool-double-not-elim :args (@t240)) % 58.01/58.29 (step @p592 :rule nary_cong :premises (@p257 @p591) :args ((or @t245 (not @t241)))) % 58.01/58.29 (step @p593 :rule cnf_or_neg :args (@t245 2)) % 58.01/58.29 (step @p594 :rule eq_resolve :premises (@p593 @p592)) % 58.01/58.29 (step @p595 :rule reordering :premises (@p594) :args ((or @t240 @t245))) % 58.01/58.29 (step @p596 :rule chain_m_resolution :premises (@p595 @p523) :args (@t240 @t284 @t355)) % 58.01/58.29 (step @p597 :rule refl :args (@t377)) % 58.01/58.29 (step @p598 :rule bool-double-not-elim :args (@t373)) % 58.01/58.29 (step @p599 :rule refl :args (@t378)) % 58.01/58.29 (step @p600 :rule refl :args (@t241)) % 58.01/58.29 (step @p601 :rule nary_cong :premises (@p600 @p599 @p598 @p597) :args ((or @t241 @t378 (not @t374) @t377))) % 58.01/58.29 (assume-push @p682 @t240) % 58.01/58.29 (assume-push @p683 @t365) % 58.01/58.29 (assume-push @p684 @t374) % 58.01/58.29 (assume-push @p685 @t374) % 58.01/58.29 (assume-push @p686 @t240) % 58.01/58.29 (assume-push @p687 @t365) % 58.01/58.29 (step @p608 :rule false_intro :premises (@p590)) % 58.01/58.29 (step @p609 :rule symm :premises (@p683)) % 58.01/58.29 (step @p610 :rule symm :premises (@p682)) % 58.01/58.29 (step @p611 :rule cong :premises (@p610 @p609) :args (@t369)) % 58.01/58.29 (step @p612 :rule trans :premises (@p611 @p608)) % 58.01/58.29 (step @p613 :rule false_elim :premises (@p612)) % 58.01/58.29 (step-pop @p688 :rule scope :premises (@p613)) % 58.01/58.29 (step-pop @p689 :rule scope :premises (@p688)) % 58.01/58.29 (step-pop @p690 :rule scope :premises (@p689)) % 58.01/58.29 (step @p614 :rule process_scope :premises (@p690) :args (@t377)) % 58.01/58.29 (step @p618 :rule and_intro :premises (@p590 @p682 @p683)) % 58.01/58.29 (step @p619 :rule modus_ponens :premises (@p618 @p614)) % 58.01/58.29 (step-pop @p691 :rule scope :premises (@p619)) % 58.01/58.29 (step-pop @p692 :rule scope :premises (@p691)) % 58.01/58.29 (step-pop @p693 :rule scope :premises (@p692)) % 58.01/58.29 (step @p620 :rule process_scope :premises (@p693) :args (@t377)) % 58.01/58.29 (step @p624 :rule implies_elim :premises (@p620)) % 58.01/58.29 (step @p625 :rule cnf_and_neg :args (@t379)) % 58.01/58.29 (step @p626 :rule resolution :premises (@p625 @p624) :args (true @t379)) % 58.01/58.29 (step @p627 :rule eq_resolve :premises (@p626 @p601)) % 58.01/58.29 (step @p628 :rule reordering :premises (@p627) :args ((or @t241 @t373 @t378 @t377))) % 34.18/58.31 (step @p629 :rule chain_m_resolution :premises (@p628 @p596 @p590 @p547) :args (@t377 (@list false true false) (@list @t240 @t373 @t365))) % 34.18/58.31 (step @p630 :rule instantiate :premises (@p140) :args (@t368)) % 34.18/58.31 (assume-push @p694 @t240) % 34.18/58.31 (assume-push @p695 @t365) % 34.18/58.31 (assume-push @p696 @t380) % 34.18/58.31 (assume-push @p697 @t380) % 34.18/58.31 (assume-push @p698 @t240) % 34.18/58.31 (assume-push @p699 @t365) % 34.18/58.31 (step @p637 :rule true_intro :premises (@p630)) % 34.18/58.31 (step @p638 :rule symm :premises (@p695)) % 34.18/58.31 (step @p639 :rule trans :premises (@p638 @p694)) % 34.18/58.31 (step @p640 :rule refl :args (@t238)) % 34.18/58.31 (step @p641 :rule cong :premises (@p640 @p639) :args (@t370)) % 34.18/58.31 (step @p642 :rule trans :premises (@p641 @p637)) % 34.18/58.31 (step @p643 :rule true_elim :premises (@p642)) % 34.18/58.31 (step-pop @p700 :rule scope :premises (@p643)) % 34.18/58.31 (step-pop @p701 :rule scope :premises (@p700)) % 34.18/58.31 (step-pop @p702 :rule scope :premises (@p701)) % 34.18/58.31 (step @p644 :rule process_scope :premises (@p702) :args (@t370)) % 34.18/58.31 (step @p648 :rule and_intro :premises (@p630 @p694 @p695)) % 34.18/58.31 (step @p649 :rule modus_ponens :premises (@p648 @p644)) % 34.18/58.31 (step-pop @p703 :rule scope :premises (@p649)) % 34.18/58.31 (step-pop @p704 :rule scope :premises (@p703)) % 34.18/58.31 (step-pop @p705 :rule scope :premises (@p704)) % 34.18/58.31 (step @p650 :rule process_scope :premises (@p705) :args (@t370)) % 34.18/58.31 (step @p654 :rule implies_elim :premises (@p650)) % 34.18/58.31 (step @p655 :rule cnf_and_neg :args (@t381)) % 34.18/58.31 (step @p656 :rule resolution :premises (@p655 @p654) :args (true @t381)) % 34.18/58.31 (step @p657 :rule reordering :premises (@p656) :args ((or @t241 @t378 @t370 (not @t380)))) % 34.18/58.31 (step @p658 :rule chain_m_resolution :premises (@p657 @p596 @p547 @p630) :args (@t370 (@list false false false) (@list @t240 @t365 @t380))) % 34.18/58.31 (step @p659 :rule cnf_or_pos :args (@t372)) % 34.18/58.31 (step @p660 :rule reordering :premises (@p659) :args ((or @t243 @t371 @t369 (not @t372)))) % 34.18/58.31 (step @p661 false :rule chain_m_resolution :premises (@p660 @p658 @p629 @p577 @p529) :args (false (@list false true false false) (@list @t370 @t369 @t372 @t242))) % 34.18/58.31 ) % 34.18/58.31 % SZS output end Proof % 34.18/58.31 % cvc5 exiting %------------------------------------------------------------------------------