%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU195+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 : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:50:54 AM UTC 2026 % Result : Theorem 92.37s 92.59s % Output : Proof 79.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU195+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 : n003.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 16:37:29 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 92.37/92.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 92.37/92.59 --- Run --no-e-matching --full-saturate-quant at 6... % 92.37/92.59 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 92.37/92.59 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 92.37/92.59 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 92.37/92.59 --- Run --trigger-sel=max --full-saturate-quant at 15... % 92.37/92.59 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 92.37/92.59 % SZS status Theorem % 92.37/92.59 % SZS output start Proof % 92.37/92.59 ( % 92.37/92.59 (declare-sort $$unsorted 0) % 92.37/92.59 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 92.37/92.59 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 92.37/92.59 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 92.37/92.59 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 92.37/92.59 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 92.37/92.59 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 92.37/92.59 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 92.37/92.60 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 92.37/92.60 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 92.37/92.60 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 92.37/92.60 (declare-const tptp.empty (-> $$unsorted Bool)) % 92.37/92.60 (declare-const tptp.relation (-> $$unsorted Bool)) % 92.37/92.60 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 92.37/92.60 (declare-const tptp.empty_set $$unsorted) % 92.37/92.60 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 92.37/92.60 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 92.37/92.60 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 92.37/92.60 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 92.37/92.60 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 92.37/92.60 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 92.37/92.60 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 92.37/92.60 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 92.37/92.60 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 92.37/92.60 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 92.37/92.60 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 92.37/92.60 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 92.37/92.60 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 92.37/92.60 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 92.37/92.60 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 92.37/92.60 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 92.37/92.60 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 92.37/92.60 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 92.37/92.60 (define @t1 () (@var "A" $$unsorted)) % 92.37/92.60 (define @t2 () (@var "B" $$unsorted)) % 92.37/92.60 (define @t3 () (tptp.in @t2 @t1)) % 92.37/92.60 (define @t4 () (not @t3)) % 92.37/92.60 (define @t5 () (tptp.in @t1 @t2)) % 92.37/92.60 (define @t6 () (@list @t1 @t2)) % 92.37/92.60 (define @t7 () (tptp.proper_subset @t2 @t1)) % 92.37/92.60 (define @t8 () (tptp.proper_subset @t1 @t2)) % 92.37/92.60 (define @t9 () (tptp.relation @t1)) % 92.37/92.60 (define @t10 () (tptp.empty @t1)) % 92.37/92.60 (define @t11 () (@list @t1)) % 92.37/92.60 (define @t12 () (tptp.unordered_pair @t1 @t2)) % 92.37/92.60 (define @t13 () (tptp.set_union2 @t2 @t1)) % 92.37/92.60 (define @t14 () (tptp.set_union2 @t1 @t2)) % 92.37/92.60 (define @t15 () (tptp.set_intersection2 @t1 @t2)) % 92.37/92.60 (define @t16 () (@var "D" $$unsorted)) % 92.37/92.60 (define @t17 () (@var "C" $$unsorted)) % 92.37/92.60 (define @t18 () (tptp.in @t17 @t1)) % 92.37/92.60 (define @t19 () (tptp.ordered_pair @t17 @t16)) % 92.37/92.60 (define @t20 () (tptp.in @t19 @t2)) % 92.37/92.60 (define @t21 () (@list @t17 @t16)) % 92.37/92.60 (define @t22 () (tptp.identity_relation @t1)) % 92.37/92.60 (define @t23 () (tptp.relation @t2)) % 92.37/92.60 (define @t24 () (tptp.subset @t1 @t2)) % 92.37/92.60 (define @t25 () (= @t1 @t2)) % 92.37/92.60 (define @t26 () (@var "E" $$unsorted)) % 92.37/92.60 (define @t27 () (tptp.ordered_pair @t16 @t26)) % 92.37/92.60 (define @t28 () (tptp.in @t27 @t1)) % 92.37/92.60 (define @t29 () (tptp.in @t16 @t2)) % 92.37/92.60 (define @t30 () (tptp.in @t27 @t17)) % 92.37/92.60 (define @t31 () (@list @t16 @t26)) % 92.37/92.60 (define @t32 () (tptp.relation_dom_restriction @t1 @t2)) % 92.37/92.60 (define @t33 () (= (= @t17 @t32) (forall @t31 (= @t30 (and @t29 @t28))))) % 92.37/92.60 (define @t34 () (tptp.relation @t17)) % 92.37/92.60 (define @t35 () (@list @t2 @t17)) % 92.37/92.60 (define @t36 () (forall @t35 (=> @t34 @t33))) % 92.37/92.60 (define @t37 () (=> @t9 @t36)) % 92.37/92.60 (define @t38 () (forall @t11 @t37)) % 92.37/92.60 (define @t39 () (@list @t2)) % 92.37/92.60 (define @t40 () (= @t2 tptp.empty_set)) % 92.37/92.60 (define @t41 () (= @t2 (tptp.set_meet @t1))) % 92.37/92.60 (define @t42 () (= @t1 tptp.empty_set)) % 92.37/92.60 (define @t43 () (tptp.in @t17 @t16)) % 92.37/92.60 (define @t44 () (tptp.in @t16 @t1)) % 92.37/92.60 (define @t45 () (@list @t16)) % 92.37/92.60 (define @t46 () (tptp.in @t17 @t2)) % 92.37/92.60 (define @t47 () (@list @t17)) % 92.37/92.60 (define @t48 () (not @t42)) % 92.37/92.60 (define @t49 () (tptp.singleton @t1)) % 92.37/92.60 (define @t50 () (tptp.powerset @t1)) % 92.37/92.60 (define @t51 () (tptp.in @t19 @t1)) % 92.37/92.60 (define @t52 () (tptp.empty @t2)) % 92.37/92.60 (define @t53 () (tptp.element @t2 @t1)) % 92.37/92.60 (define @t54 () (not @t10)) % 92.37/92.60 (define @t55 () (tptp.in @t16 @t17)) % 92.37/92.60 (define @t56 () (@list @t1 @t2 @t17)) % 92.37/92.60 (define @t57 () (@var "F" $$unsorted)) % 92.37/92.60 (define @t58 () (tptp.cartesian_product2 @t1 @t2)) % 92.37/92.60 (define @t59 () (forall @t47 (=> @t18 @t46))) % 92.37/92.60 (define @t60 () (tptp.relation_dom @t1)) % 92.37/92.60 (define @t61 () (tptp.cast_to_subset @t1)) % 92.37/92.60 (define @t62 () (tptp.set_difference @t1 @t2)) % 92.37/92.60 (define @t63 () (tptp.in (tptp.ordered_pair @t16 @t17) @t1)) % 92.37/92.60 (define @t64 () (tptp.relation_rng @t1)) % 92.37/92.60 (define @t65 () (tptp.subset_complement @t1 @t2)) % 92.37/92.60 (define @t66 () (tptp.element @t2 @t50)) % 92.37/92.60 (define @t67 () (tptp.ordered_pair @t1 @t2)) % 92.37/92.60 (define @t68 () (tptp.relation_inverse @t1)) % 92.37/92.60 (define @t69 () (tptp.disjoint @t1 @t2)) % 92.37/92.60 (define @t70 () (tptp.relation_composition @t1 @t2)) % 92.37/92.60 (define @t71 () (tptp.complements_of_subsets @t1 @t2)) % 92.37/92.60 (define @t72 () (tptp.powerset @t50)) % 92.37/92.60 (define @t73 () (tptp.element @t2 @t72)) % 92.37/92.60 (define @t74 () (not @t25)) % 92.37/92.60 (define @t75 () (tptp.relation @t70)) % 92.37/92.60 (define @t76 () (and @t9 @t23)) % 92.37/92.60 (define @t77 () (forall @t6 (=> @t76 @t75))) % 92.37/92.60 (define @t78 () (tptp.union_of_subsets @t1 @t2)) % 92.37/92.60 (define @t79 () (tptp.meet_of_subsets @t1 @t2)) % 92.37/92.60 (define @t80 () (tptp.subset_difference @t1 @t2 @t17)) % 92.37/92.60 (define @t81 () (tptp.element @t17 @t50)) % 92.37/92.60 (define @t82 () (and @t66 @t81)) % 92.37/92.60 (define @t83 () (tptp.relation_composition @t2 @t1)) % 92.37/92.60 (define @t84 () (and @t10 @t23)) % 92.37/92.60 (define @t85 () (tptp.empty tptp.empty_set)) % 92.37/92.60 (define @t86 () (not @t52)) % 92.37/92.60 (define @t87 () (tptp.empty @t60)) % 92.37/92.60 (define @t88 () (and @t54 @t9)) % 92.37/92.60 (define @t89 () (tptp.empty @t64)) % 92.37/92.60 (define @t90 () (tptp.disjoint @t49 @t2)) % 92.37/92.60 (define @t91 () (tptp.singleton @t2)) % 92.37/92.60 (define @t92 () (tptp.union @t2)) % 92.37/92.60 (define @t93 () (tptp.in @t1 @t17)) % 92.37/92.60 (define @t94 () (@list @t1 @t2 @t17 @t16)) % 92.37/92.60 (define @t95 () (tptp.element @t1 (tptp.powerset @t2))) % 92.37/92.60 (define @t96 () (tptp.set_difference @t2 @t17)) % 92.37/92.60 (define @t97 () (= @t1 @t17)) % 92.37/92.60 (define @t98 () (tptp.cartesian_product2 @t1 @t17)) % 92.37/92.60 (define @t99 () (not @t46)) % 92.37/92.60 (define @t100 () (tptp.subset @t17 @t2)) % 92.37/92.60 (define @t101 () (forall @t47 (not (and @t100 (not (tptp.are_equipotent @t17 @t2)) @t99)))) % 92.37/92.60 (define @t102 () (tptp.powerset @t17)) % 92.37/92.60 (define @t103 () (forall @t21 (=> (and @t46 (tptp.subset @t16 @t17)) @t29))) % 92.37/92.60 (define @t104 () (tptp.set_intersection2 @t2 @t17)) % 92.37/92.60 (define @t105 () (tptp.subset @t1 @t17)) % 92.37/92.60 (define @t106 () (tptp.element @t1 @t2)) % 92.37/92.60 (define @t107 () (tptp.in @t1 (tptp.relation_dom @t17))) % 92.37/92.60 (define @t108 () (tptp.in @t67 @t17)) % 92.37/92.60 (define @t109 () (tptp.relation_rng @t2)) % 92.37/92.60 (define @t110 () (tptp.relation_dom @t2)) % 92.37/92.60 (define @t111 () (tptp.relation_field @t17)) % 92.37/92.60 (define @t112 () (tptp.in @t2 @t17)) % 92.37/92.60 (define @t113 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 92.37/92.60 (define @t114 () (and @t18 @t46)) % 92.37/92.60 (define @t115 () (not @t69)) % 92.37/92.60 (define @t116 () (tptp.subset_complement @t1 @t17)) % 92.37/92.60 (define @t117 () (tptp.disjoint @t2 @t17)) % 92.37/92.60 (define @t118 () (tptp.relation_dom @t70)) % 92.37/92.60 (define @t119 () (not @t40)) % 92.37/92.60 (define @t120 () (tptp.element @t2 @t102)) % 92.37/92.60 (define @t121 () (tptp.in @t17 @t15)) % 92.37/92.60 (define @t122 () (= @t64 tptp.empty_set)) % 92.37/92.60 (define @t123 () (= @t60 tptp.empty_set)) % 92.37/92.60 (define @t124 () (= (tptp.in @t67 (tptp.relation_composition (tptp.identity_relation @t17) @t16)) (and @t93 (tptp.in @t67 @t16)))) % 92.37/92.60 (define @t125 () (tptp.relation @t16)) % 92.37/92.60 (define @t126 () (forall @t94 (=> @t125 @t124))) % 92.37/92.60 (define @t127 () (tptp.relation_dom_restriction @t2 @t1)) % 92.37/92.60 (define @t128 () (= @t49 (tptp.unordered_pair @t2 @t17))) % 92.37/92.60 (define @t129 () (= @t127 (tptp.relation_composition @t22 @t2))) % 92.37/92.60 (define @t130 () (forall @t6 (=> @t23 @t129))) % 92.37/92.60 (define @t131 () (not @t130)) % 92.37/92.60 (define @t132 () (@var "BOUND_VARIABLE_8327" $$unsorted)) % 92.37/92.60 (define @t133 () (@var "BOUND_VARIABLE_8329" $$unsorted)) % 92.37/92.60 (define @t134 () (= (= @t133 (tptp.relation_dom_restriction @t1 @t132)) (forall @t31 (= (tptp.in @t27 @t133) (and (tptp.in @t16 @t132) @t28))))) % 92.37/92.60 (define @t135 () (not (tptp.relation @t133))) % 92.37/92.60 (define @t136 () (not @t9)) % 92.37/92.60 (define @t137 () (or @t136 @t135 @t134)) % 92.37/92.60 (define @t138 () (or @t135 @t134)) % 92.37/92.60 (define @t139 () (or @t136 @t138)) % 92.37/92.60 (define @t140 () (@list @t1 @t132 @t133)) % 92.37/92.60 (define @t141 () (forall @t140 @t139)) % 92.37/92.60 (define @t142 () (@list @t132 @t133)) % 92.37/92.60 (define @t143 () (forall @t142 @t139)) % 92.37/92.60 (define @t144 () (forall @t142 @t138)) % 92.37/92.60 (define @t145 () (or @t136 @t144)) % 92.37/92.60 (define @t146 () (forall @t35 (or (not @t34) @t33))) % 92.37/92.60 (define @t147 () (not @t23)) % 92.37/92.60 (define @t148 () (forall @t6 (or @t147 @t129))) % 92.37/92.60 (define @t149 () (@quantifiers_skolemize @t148 1)) % 92.37/92.60 (define @t150 () (@quantifiers_skolemize @t148 0)) % 92.37/92.60 (define @t151 () (tptp.identity_relation @t150)) % 92.37/92.60 (define @t152 () (tptp.relation_composition @t151 @t149)) % 92.37/92.60 (define @t153 () (tptp.in @t27 @t152)) % 92.37/92.60 (define @t154 () (and (tptp.in @t16 @t150) (tptp.in @t27 @t149))) % 92.37/92.60 (define @t155 () (forall @t31 (= @t153 @t154))) % 92.37/92.60 (define @t156 () (tptp.relation_dom_restriction @t149 @t150)) % 92.37/92.60 (define @t157 () (= (= @t152 @t156) @t155)) % 92.37/92.60 (define @t158 () (tptp.relation @t152)) % 92.37/92.60 (define @t159 () (not @t158)) % 92.37/92.60 (define @t160 () (tptp.relation @t149)) % 92.37/92.60 (define @t161 () (not @t160)) % 92.37/92.60 (define @t162 () (or @t161 @t159 @t157)) % 92.37/92.60 (define @t163 () (forall @t140 @t137)) % 92.37/92.60 (define @t164 () (forall @t31 (= @t154 @t153))) % 92.37/92.60 (define @t165 () (= @t156 @t152)) % 92.37/92.60 (define @t166 () (= @t165 @t164)) % 92.37/92.60 (define @t167 () (or @t161 @t159 @t166)) % 92.37/92.60 (define @t168 () (or @t161 @t165)) % 92.37/92.60 (define @t169 () (@list true)) % 92.37/92.60 (define @t170 () (@list @t168)) % 92.37/92.60 (define @t171 () (tptp.relation @t151)) % 92.37/92.60 (define @t172 () (not @t171)) % 92.37/92.60 (define @t173 () (or @t172 @t161 @t158)) % 92.37/92.60 (define @t174 () (@list false false false)) % 92.37/92.60 (define @t175 () (not @t164)) % 92.37/92.60 (define @t176 () (@list true false)) % 92.37/92.60 (define @t177 () (@quantifiers_skolemize @t164 1)) % 92.37/92.60 (define @t178 () (@quantifiers_skolemize @t164 0)) % 92.37/92.60 (define @t179 () (tptp.ordered_pair @t178 @t177)) % 92.37/92.60 (define @t180 () (tptp.in @t179 @t152)) % 92.37/92.60 (define @t181 () (and (tptp.in @t178 @t150) (tptp.in @t179 @t149))) % 92.37/92.60 (define @t182 () (= @t181 @t180)) % 92.37/92.60 (define @t183 () (or @t161 @t182)) % 92.37/92.60 (define @t184 () (not @t183)) % 92.37/92.60 (define @t185 () (or @t161 (= @t180 @t181))) % 92.37/92.60 (define @t186 () (forall @t94 (or (not @t125) @t124))) % 92.37/92.60 (assume @p1 (forall @t6 (=> @t5 @t4))) % 92.37/92.60 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 92.37/92.60 (assume @p3 (forall @t11 (=> @t10 @t9))) % 92.37/92.60 (assume @p4 (forall @t6 (= @t12 (tptp.unordered_pair @t2 @t1)))) % 92.37/92.60 (assume @p5 (forall @t6 (= @t14 @t13))) % 92.37/92.60 (assume @p6 (forall @t6 (= @t15 (tptp.set_intersection2 @t2 @t1)))) % 92.37/92.60 (assume @p7 (forall @t6 (=> @t23 (= (= @t2 @t22) (forall @t21 (= @t20 (and @t18 (= @t17 @t16)))))))) % 92.37/92.60 (assume @p8 (forall @t6 (= @t25 (and @t24 (tptp.subset @t2 @t1))))) % 92.37/92.60 (assume @p9 @t38) % 92.37/92.60 (assume @p10 (forall @t11 (= @t9 (forall @t39 (not (and @t3 (forall @t21 (not (= @t2 @t19))))))))) % 92.37/92.60 (assume @p11 (forall @t6 (and (=> @t48 (= @t41 (forall @t47 (= @t46 (forall @t45 (=> @t44 @t43)))))) (=> @t42 (= @t41 @t40))))) % 92.37/92.60 (assume @p12 (forall @t6 (= (= @t2 @t49) (forall @t47 (= @t46 (= @t17 @t1)))))) % 92.37/92.60 (assume @p13 (forall @t11 (= @t42 (forall @t39 @t4)))) % 92.37/92.60 (assume @p14 (forall @t6 (= (= @t2 @t50) (forall @t47 (= @t46 (tptp.subset @t17 @t1)))))) % 92.37/92.60 (assume @p15 (forall @t11 (=> @t9 (forall @t39 (=> @t23 (= @t25 (forall @t21 (= @t51 @t20)))))))) % 92.37/92.60 (assume @p16 (forall @t6 (and (=> @t54 (= @t53 @t3)) (=> @t10 (= @t53 @t52))))) % 92.37/92.60 (assume @p17 (forall @t56 (= (= @t17 @t12) (forall @t45 (= @t55 (or (= @t16 @t1) (= @t16 @t2))))))) % 92.37/92.60 (assume @p18 (forall @t56 (= (= @t17 @t14) (forall @t45 (= @t55 (or @t44 @t29)))))) % 92.37/92.60 (assume @p19 (forall @t56 (= (= @t17 @t58) (forall @t45 (= @t55 (exists (@list @t26 @t57) (and (tptp.in @t26 @t1) (tptp.in @t57 @t2) (= @t16 (tptp.ordered_pair @t26 @t57))))))))) % 92.37/92.60 (assume @p20 (forall @t11 (=> @t9 (forall @t39 (=> @t23 (= @t24 (forall @t21 (=> @t51 @t20)))))))) % 92.37/92.60 (assume @p21 (forall @t6 (= @t24 @t59))) % 92.37/92.60 (assume @p22 (forall @t56 (= (= @t17 @t15) (forall @t45 (= @t55 (and @t44 @t29)))))) % 92.37/92.60 (assume @p23 (forall @t11 (=> @t9 (forall @t39 (= (= @t2 @t60) (forall @t47 (= @t46 (exists @t45 @t51)))))))) % 92.37/92.60 (assume @p24 (forall @t11 (= @t61 @t1))) % 92.37/92.60 (assume @p25 (forall @t6 (= (= @t2 (tptp.union @t1)) (forall @t47 (= @t46 (exists @t45 (and @t43 @t44))))))) % 92.37/92.60 (assume @p26 (forall @t56 (= (= @t17 @t62) (forall @t45 (= @t55 (and @t44 (not @t29))))))) % 92.37/92.60 (assume @p27 (forall @t11 (=> @t9 (forall @t39 (= (= @t2 @t64) (forall @t47 (= @t46 (exists @t45 @t63)))))))) % 92.37/92.60 (assume @p28 (forall @t6 (=> @t66 (= @t65 @t62)))) % 92.37/92.60 (assume @p29 (forall @t6 (= @t67 (tptp.unordered_pair @t12 @t49)))) % 92.37/92.60 (assume @p30 (forall @t11 (=> @t9 (= (tptp.relation_field @t1) (tptp.set_union2 @t60 @t64))))) % 92.37/92.60 (assume @p31 (forall @t11 (=> @t9 (forall @t39 (=> @t23 (= (= @t2 @t68) (forall @t21 (= @t20 @t63)))))))) % 92.37/92.60 (assume @p32 (forall @t6 (= @t69 (= @t15 tptp.empty_set)))) % 92.37/92.60 (assume @p33 (forall @t11 (=> @t9 (forall @t39 (=> @t23 (forall @t47 (=> @t34 (= (= @t17 @t70) (forall @t31 (= @t30 (exists (@list @t57) (and (tptp.in (tptp.ordered_pair @t16 @t57) @t1) (tptp.in (tptp.ordered_pair @t57 @t26) @t2))))))))))))) % 92.37/92.60 (assume @p34 (forall @t6 (=> @t73 (forall @t47 (=> (tptp.element @t17 @t72) (= (= @t17 @t71) (forall @t45 (=> (tptp.element @t16 @t50) (= @t55 (tptp.in (tptp.subset_complement @t1 @t16) @t2)))))))))) % 92.37/92.60 (assume @p35 (forall @t6 (= @t8 (and @t24 @t74)))) % 92.37/92.60 (assume @p36 true) % 92.37/92.60 (assume @p37 (forall @t11 (tptp.element @t61 @t50))) % 92.37/92.60 (assume @p38 (forall @t6 (=> @t66 (tptp.element @t65 @t50)))) % 92.37/92.60 (assume @p39 (forall @t11 (=> @t9 (tptp.relation @t68)))) % 92.37/92.60 (assume @p40 @t77) % 92.37/92.60 (assume @p41 (forall @t6 (=> @t73 (tptp.element @t78 @t50)))) % 92.37/92.60 (assume @p42 (forall @t11 (tptp.relation @t22))) % 92.37/92.60 (assume @p43 (forall @t6 (=> @t73 (tptp.element @t79 @t50)))) % 92.37/92.60 (assume @p44 (forall @t56 (=> @t82 (tptp.element @t80 @t50)))) % 92.37/92.60 (assume @p45 (forall @t6 (=> @t9 (tptp.relation @t32)))) % 92.37/92.60 (assume @p46 (forall @t6 (=> @t73 (tptp.element @t71 @t72)))) % 92.37/92.60 (assume @p47 (forall @t11 (exists @t39 @t53))) % 92.37/92.60 (assume @p48 (forall @t6 (=> @t84 (and (tptp.empty @t83) (tptp.relation @t83))))) % 92.37/92.60 (assume @p49 (forall @t6 (=> @t76 (tptp.relation @t15)))) % 92.37/92.60 (assume @p50 (forall @t11 (not (tptp.empty @t50)))) % 92.37/92.60 (assume @p51 @t85) % 92.37/92.60 (assume @p52 (forall @t6 (not (tptp.empty @t67)))) % 92.37/92.60 (assume @p53 (forall @t6 (=> @t76 (tptp.relation @t14)))) % 92.37/92.60 (assume @p54 (forall @t11 (not (tptp.empty @t49)))) % 92.37/92.60 (assume @p55 (forall @t6 (=> @t54 (not (tptp.empty @t14))))) % 92.37/92.60 (assume @p56 (forall @t6 (not (tptp.empty @t12)))) % 92.37/92.60 (assume @p57 (forall @t6 (=> @t54 (not (tptp.empty @t13))))) % 92.37/92.60 (assume @p58 (and @t85 (tptp.relation tptp.empty_set))) % 92.37/92.60 (assume @p59 (forall @t6 (=> (and @t54 @t86) (not (tptp.empty @t58))))) % 92.37/92.60 (assume @p60 (forall @t11 (=> @t88 (not @t87)))) % 92.37/92.60 (assume @p61 (forall @t11 (=> @t88 (not @t89)))) % 92.37/92.60 (assume @p62 (forall @t11 (=> @t10 (and @t87 (tptp.relation @t60))))) % 92.37/92.60 (assume @p63 (forall @t11 (=> @t10 (and @t89 (tptp.relation @t64))))) % 92.37/92.60 (assume @p64 (forall @t6 (=> @t84 (and (tptp.empty @t70) @t75)))) % 92.37/92.60 (assume @p65 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 92.37/92.60 (assume @p66 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 92.37/92.60 (assume @p67 (forall @t6 (=> @t66 (= (tptp.subset_complement @t1 @t65) @t2)))) % 92.37/92.60 (assume @p68 (forall @t11 (=> @t9 (= (tptp.relation_inverse @t68) @t1)))) % 92.37/92.60 (assume @p69 (forall @t6 (=> @t73 (= (tptp.complements_of_subsets @t1 @t71) @t2)))) % 92.37/92.60 (assume @p70 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 92.37/92.60 (assume @p71 (forall @t11 (not (= @t49 tptp.empty_set)))) % 92.37/92.60 (assume @p72 (forall @t6 (=> @t5 (= (tptp.set_union2 @t49 @t2) @t2)))) % 92.37/92.60 (assume @p73 (forall @t6 (not (and @t90 @t5)))) % 92.37/92.60 (assume @p74 (forall @t6 (=> (not @t5) @t90))) % 92.37/92.60 (assume @p75 (forall @t6 (= (tptp.subset @t49 @t2) @t5))) % 92.37/92.60 (assume @p76 (forall @t6 (= (= @t62 tptp.empty_set) @t24))) % 92.37/92.60 (assume @p77 (forall @t6 (=> @t66 (forall @t47 (=> @t46 @t18))))) % 92.37/92.60 (assume @p78 (forall @t56 (=> @t24 (or @t18 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t17))))))) % 92.37/92.60 (assume @p79 (forall @t6 (= (tptp.subset @t1 @t91) (or @t42 (= @t1 @t91))))) % 92.37/92.60 (assume @p80 (forall @t6 (=> @t5 (tptp.subset @t1 @t92)))) % 92.37/92.60 (assume @p81 (forall @t94 (= (tptp.in @t67 (tptp.cartesian_product2 @t17 @t16)) (and @t93 (tptp.in @t2 @t16))))) % 92.37/92.60 (assume @p82 (forall @t6 (=> @t59 @t95))) % 92.37/92.60 (assume @p83 (exists @t11 (and @t10 @t9))) % 92.37/92.60 (assume @p84 (forall @t11 (=> @t54 (exists @t39 (and @t66 @t86))))) % 92.37/92.60 (assume @p85 (exists @t11 @t10)) % 92.37/92.60 (assume @p86 (exists @t11 @t88)) % 92.37/92.60 (assume @p87 (forall @t11 (exists @t39 (and @t66 @t52)))) % 92.37/92.60 (assume @p88 (exists @t11 @t54)) % 92.37/92.60 (assume @p89 (forall @t6 (=> @t73 (= @t78 @t92)))) % 92.37/92.60 (assume @p90 (forall @t6 (=> @t73 (= @t79 (tptp.set_meet @t2))))) % 92.37/92.60 (assume @p91 (forall @t56 (=> @t82 (= @t80 @t96)))) % 92.37/92.60 (assume @p92 (forall @t6 (tptp.subset @t1 @t1))) % 92.37/92.60 (assume @p93 (forall @t6 (=> @t69 (tptp.disjoint @t2 @t1)))) % 92.37/92.60 (assume @p94 (forall @t94 (not (and (= @t12 (tptp.unordered_pair @t17 @t16)) (not @t97) (not (= @t1 @t16)))))) % 92.37/92.60 (assume @p95 (forall @t56 (=> @t24 (and (tptp.subset @t98 (tptp.cartesian_product2 @t2 @t17)) (tptp.subset (tptp.cartesian_product2 @t17 @t1) (tptp.cartesian_product2 @t17 @t2)))))) % 92.37/92.60 (assume @p96 (forall @t94 (=> (and @t24 (tptp.subset @t17 @t16)) (tptp.subset @t98 (tptp.cartesian_product2 @t2 @t16))))) % 92.37/92.60 (assume @p97 (forall @t6 (=> @t24 (= @t14 @t2)))) % 92.37/92.60 (assume @p98 (forall @t11 (exists @t39 (and @t5 @t103 (forall @t47 (=> @t46 (tptp.in @t102 @t2))) @t101)))) % 92.37/92.60 (assume @p99 (forall @t6 (tptp.subset @t15 @t1))) % 92.37/92.60 (assume @p100 (forall @t56 (=> (and @t24 @t105) (tptp.subset @t1 @t104)))) % 92.37/92.60 (assume @p101 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 92.37/92.60 (assume @p102 (forall @t6 (=> @t5 @t106))) % 92.37/92.60 (assume @p103 (forall @t56 (=> (and @t24 (tptp.subset @t2 @t17)) @t105))) % 92.37/92.60 (assume @p104 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 92.37/92.60 (assume @p105 (forall @t56 (=> @t34 (=> @t108 (and @t107 (tptp.in @t2 (tptp.relation_rng @t17))))))) % 92.37/92.60 (assume @p106 (forall @t11 (=> @t9 (tptp.subset @t1 (tptp.cartesian_product2 @t60 @t64))))) % 92.37/92.60 (assume @p107 (forall @t11 (=> @t9 (forall @t39 (=> @t23 (=> @t24 (and (tptp.subset @t60 @t110) (tptp.subset @t64 @t109)))))))) % 92.37/92.60 (assume @p108 (forall @t56 (=> @t24 (tptp.subset (tptp.set_intersection2 @t1 @t17) @t104)))) % 92.37/92.60 (assume @p109 (forall @t6 (=> @t24 (= @t15 @t1)))) % 92.37/92.60 (assume @p110 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 92.37/92.60 (assume @p111 (forall @t6 (=> @t106 (or @t52 @t5)))) % 92.37/92.60 (assume @p112 (forall @t6 (=> (forall @t47 (= @t18 @t46)) @t25))) % 92.37/92.60 (assume @p113 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 92.37/92.60 (assume @p114 (forall @t56 (=> @t34 (=> @t108 (and (tptp.in @t1 @t111) (tptp.in @t2 @t111)))))) % 92.37/92.60 (assume @p115 (forall @t56 (=> @t24 (tptp.subset (tptp.set_difference @t1 @t17) @t96)))) % 92.37/92.60 (assume @p116 (forall @t94 (=> (= @t67 @t19) (and @t97 (= @t2 @t16))))) % 92.37/92.60 (assume @p117 (forall @t6 (tptp.subset @t62 @t1))) % 92.37/92.60 (assume @p118 (forall @t11 (=> @t9 (and (= @t64 (tptp.relation_dom @t68)) (= @t60 (tptp.relation_rng @t68)))))) % 92.37/92.60 (assume @p119 (forall @t56 (= (tptp.subset @t12 @t17) (and @t93 @t112)))) % 92.37/92.60 (assume @p120 (forall @t6 (= @t113 @t14))) % 92.37/92.60 (assume @p121 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 92.37/92.60 (assume @p122 (forall @t6 (= @t95 @t24))) % 92.37/92.60 (assume @p123 (forall @t6 (and (not (and @t115 (forall @t47 (not @t114)))) (not (and (exists @t47 @t114) @t69))))) % 92.37/92.60 (assume @p124 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t42))) % 92.37/92.60 (assume @p125 (forall @t6 (= (tptp.set_difference @t14 @t2) @t62))) % 92.37/92.60 (assume @p126 (forall @t6 (=> @t66 (forall @t47 (=> @t81 (= @t117 (tptp.subset @t2 @t116))))))) % 92.37/92.60 (assume @p127 (forall @t11 (=> @t9 (forall @t39 (=> @t23 (tptp.subset @t118 @t60)))))) % 92.37/92.60 (assume @p128 (forall @t11 (=> @t9 (forall @t39 (=> @t23 (tptp.subset (tptp.relation_rng @t70) @t109)))))) % 92.37/92.60 (assume @p129 (forall @t6 (=> @t24 (= @t2 @t113)))) % 92.37/92.60 (assume @p130 (forall @t11 (=> @t9 (forall @t39 (=> @t23 (=> (tptp.subset @t64 @t110) (= @t118 @t60))))))) % 92.37/92.60 (assume @p131 (forall @t6 (=> @t73 (not (and @t119 (= @t71 tptp.empty_set)))))) % 92.37/92.60 (assume @p132 (forall @t11 (=> @t9 (forall @t39 (=> @t23 (=> (tptp.subset @t60 @t109) (= (tptp.relation_rng @t83) @t64))))))) % 92.37/92.60 (assume @p133 (forall @t6 (=> @t73 (=> @t119 (= (tptp.subset_difference @t1 @t61 @t78) (tptp.meet_of_subsets @t1 @t71)))))) % 92.37/92.60 (assume @p134 (forall @t6 (=> @t73 (=> @t119 (= (tptp.union_of_subsets @t1 @t71) (tptp.subset_difference @t1 @t61 @t79)))))) % 92.37/92.60 (assume @p135 (forall @t6 (= (tptp.set_difference @t1 @t62) @t15))) % 92.37/92.60 (assume @p136 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 92.37/92.60 (assume @p137 (forall @t56 (=> (and @t5 @t120) (tptp.element @t1 @t17)))) % 92.37/92.60 (assume @p138 (forall @t6 (and (not (and @t115 (forall @t47 (not @t121)))) (not (and (exists @t47 @t121) @t69))))) % 92.37/92.60 (assume @p139 (forall @t11 (=> @t48 (forall @t39 (=> @t66 (forall @t47 (=> (tptp.element @t17 @t1) (=> @t99 (tptp.in @t17 @t65))))))))) % 92.37/92.60 (assume @p140 (forall @t56 (=> @t81 (not (and (tptp.in @t2 @t116) @t112))))) % 92.37/92.60 (assume @p141 (forall @t11 (=> @t9 (=> (forall @t35 (not (tptp.in (tptp.ordered_pair @t2 @t17) @t1))) @t42)))) % 92.37/92.60 (assume @p142 (forall @t56 (not (and @t5 @t120 (tptp.empty @t17))))) % 92.37/92.60 (assume @p143 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 92.37/92.60 (assume @p144 (forall @t6 (not (and @t24 @t7)))) % 92.37/92.60 (assume @p145 (forall @t56 (=> (and @t24 @t117) (tptp.disjoint @t1 @t17)))) % 92.37/92.60 (assume @p146 (forall @t11 (=> @t9 (=> (or @t123 @t122) @t42)))) % 92.37/92.60 (assume @p147 (forall @t11 (=> @t9 (= @t123 @t122)))) % 92.37/92.60 (assume @p148 (forall @t6 (= (= (tptp.set_difference @t1 @t91) @t1) @t4))) % 92.37/92.60 (assume @p149 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t49))) % 92.37/92.60 (assume @p150 (forall @t11 (=> @t10 @t42))) % 92.37/92.60 (assume @p151 (forall @t6 (=> (tptp.subset @t49 @t91) @t25))) % 92.37/92.60 (assume @p152 (forall @t11 (and (= (tptp.relation_dom @t22) @t1) (= (tptp.relation_rng @t22) @t1)))) % 92.37/92.60 (assume @p153 @t126) % 92.37/92.60 (assume @p154 (forall @t6 (not (and @t5 @t52)))) % 92.37/92.60 (assume @p155 (forall @t6 (tptp.subset @t1 @t14))) % 92.37/92.60 (assume @p156 (forall @t6 (= @t69 (= @t62 @t1)))) % 92.37/92.60 (assume @p157 (forall @t56 (=> @t34 (= (tptp.in @t1 (tptp.relation_dom (tptp.relation_dom_restriction @t17 @t2))) (and @t5 @t107))))) % 92.37/92.60 (assume @p158 (forall @t6 (=> @t23 (tptp.subset @t127 @t2)))) % 92.37/92.60 (assume @p159 (forall @t6 (not (and @t10 @t74 @t52)))) % 92.37/92.60 (assume @p160 (forall @t56 (=> (and @t24 @t100) (tptp.subset (tptp.set_union2 @t1 @t17) @t2)))) % 92.37/92.60 (assume @p161 (forall @t56 (=> @t128 @t25))) % 92.37/92.60 (assume @p162 (forall @t6 (=> @t23 (= (tptp.relation_dom @t127) (tptp.set_intersection2 @t110 @t1))))) % 92.37/92.60 (assume @p163 @t131) % 92.37/92.60 (assume @p164 (forall @t11 (= (tptp.union @t50) @t1))) % 92.37/92.60 (assume @p165 (forall @t11 (exists @t39 (and @t5 @t103 (forall @t47 (not (and @t46 (forall @t45 (not (and @t29 (forall (@list @t26) (=> (tptp.subset @t26 @t17) (tptp.in @t26 @t16))))))))) @t101)))) % 92.37/92.60 (assume @p166 (forall @t56 (=> @t128 (= @t2 @t17)))) % 92.37/92.60 (step @p167 :rule bool-impl-elim :args (@t125 @t124)) % 92.37/92.60 (step @p168 :rule cong :premises (@p167) :args (@t126)) % 92.37/92.60 (step @p169 :rule eq_resolve :premises (@p153 @p168)) % 92.37/92.60 (step @p170 :rule aci_norm :args ((= @t139 @t137))) % 92.37/92.60 (step @p171 :rule cong :premises (@p170) :args (@t141)) % 92.37/92.60 (step @p172 :rule quant-merge-prenex :args ((= (forall @t11 @t143) @t141))) % 92.37/92.60 (step @p173 :rule alpha_equiv :args (@t144 (@list @t132 @t133) (@list @t2 @t17))) % 92.37/92.60 (step @p174 :rule refl :args (@t136)) % 92.37/92.60 (step @p175 :rule nary_cong :premises (@p174 @p173) :args (@t145)) % 92.37/92.60 (step @p176 :rule quant-miniscope-or :args ((= @t143 @t145))) % 92.37/92.60 (step @p177 :rule trans :premises (@p176 @p175)) % 92.37/92.60 (step @p178 :rule symm :premises (@p177)) % 92.37/92.60 (step @p179 :rule cong :premises (@p178) :args ((forall @t11 (or @t136 @t146)))) % 92.37/92.60 (step @p180 :rule trans :premises (@p179 @p172)) % 92.37/92.60 (step @p181 :rule trans :premises (@p180 @p171)) % 92.37/92.60 (step @p182 :rule bool-impl-elim :args (@t9 @t146)) % 92.37/92.60 (step @p183 :rule cong :premises (@p182) :args ((forall @t11 (=> @t9 @t146)))) % 92.37/92.60 (step @p184 :rule trans :premises (@p183 @p181)) % 92.37/92.60 (step @p185 :rule bool-impl-elim :args (@t34 @t33)) % 92.37/92.60 (step @p186 :rule cong :premises (@p185) :args (@t36)) % 92.37/92.60 (step @p187 :rule refl :args (@t9)) % 92.37/92.60 (step @p188 :rule cong :premises (@p187 @p186) :args (@t37)) % 92.37/92.60 (step @p189 :rule cong :premises (@p188) :args (@t38)) % 92.37/92.60 (step @p190 :rule trans :premises (@p189 @p184)) % 92.37/92.60 (step @p191 :rule eq_resolve :premises (@p9 @p190)) % 92.37/92.60 (step @p192 :rule eq-symm :args (@t153 @t154)) % 92.37/92.60 (step @p193 :rule cong :premises (@p192) :args (@t155)) % 79.42/92.61 (step @p194 :rule eq-symm :args (@t152 @t156)) % 79.42/92.61 (step @p195 :rule cong :premises (@p194 @p193) :args (@t157)) % 79.42/92.61 (step @p196 :rule refl :args (@t159)) % 79.42/92.61 (step @p197 :rule refl :args (@t161)) % 79.42/92.61 (step @p198 :rule nary_cong :premises (@p197 @p196 @p195) :args (@t162)) % 79.42/92.61 (step @p199 :rule refl :args (@t163)) % 79.42/92.61 (step @p200 :rule cong :premises (@p199 @p198) :args ((=> @t163 @t162))) % 79.42/92.61 (assume-push @p257 @t163) % 79.42/92.61 (step @p202 :rule instantiate :premises (@p191) :args ((@list @t149 @t150 @t152))) % 79.42/92.61 (step-pop @p258 :rule scope :premises (@p202)) % 79.42/92.61 (step @p203 :rule process_scope :premises (@p258) :args (@t162)) % 79.42/92.61 (step @p205 :rule eq_resolve :premises (@p203 @p200)) % 79.42/92.61 (step @p206 :rule implies_elim :premises (@p205)) % 79.42/92.61 (step @p207 :rule chain_m_resolution :premises (@p206 @p191) :args (@t167 (@list false) (@list @t163))) % 79.42/92.61 (step @p208 :rule aci_norm :args ((= (or (or @t136 @t147) @t75) (or @t136 @t147 @t75)))) % 79.42/92.61 (step @p209 :rule refl :args (@t75)) % 79.42/92.61 (step @p210 :rule bool-and-de-morgan :args (@t9 @t23 true)) % 79.42/92.61 (step @p211 :rule nary_cong :premises (@p210 @p209) :args ((or (not @t76) @t75))) % 79.42/92.61 (step @p212 :rule trans :premises (@p211 @p208)) % 79.42/92.61 (step @p213 :rule bool-impl-elim :args (@t76 @t75)) % 79.42/92.61 (step @p214 :rule trans :premises (@p213 @p212)) % 79.42/92.61 (step @p215 :rule cong :premises (@p214) :args (@t77)) % 79.42/92.61 (step @p216 :rule eq_resolve :premises (@p40 @p215)) % 79.42/92.61 (step @p217 :rule instantiate :premises (@p216) :args ((@list @t151 @t149))) % 79.42/92.61 (step @p218 :rule instantiate :premises (@p42) :args ((@list @t150))) % 79.42/92.61 (step @p219 :rule bool-impl-elim :args (@t23 @t129)) % 79.42/92.61 (step @p220 :rule cong :premises (@p219) :args (@t130)) % 79.42/92.61 (step @p221 :rule cong :premises (@p220) :args (@t131)) % 79.42/92.61 (step @p222 :rule eq_resolve :premises (@p163 @p221)) % 79.42/92.61 (step @p223 :rule skolemize :premises (@p222)) % 79.42/92.61 (step @p224 :rule bool-double-not-elim :args (@t160)) % 79.42/92.61 (step @p225 :rule refl :args (@t168)) % 79.42/92.61 (step @p226 :rule nary_cong :premises (@p225 @p224) :args ((or @t168 (not @t161)))) % 79.42/92.61 (step @p227 :rule cnf_or_neg :args (@t168 0)) % 79.42/92.61 (step @p228 :rule eq_resolve :premises (@p227 @p226)) % 79.42/92.61 (step @p229 :rule reordering :premises (@p228) :args ((or @t160 @t168))) % 79.42/92.61 (step @p230 :rule chain_m_resolution :premises (@p229 @p223) :args (@t160 @t169 @t170)) % 79.42/92.61 (step @p231 :rule cnf_or_pos :args (@t173)) % 79.42/92.61 (step @p232 :rule reordering :premises (@p231) :args ((or @t161 @t172 @t158 (not @t173)))) % 79.42/92.61 (step @p233 :rule chain_m_resolution :premises (@p232 @p230 @p218 @p217) :args (@t158 @t174 (@list @t160 @t171 @t173))) % 79.42/92.61 (step @p234 :rule cnf_or_pos :args (@t167)) % 79.42/92.61 (step @p235 :rule reordering :premises (@p234) :args ((or @t161 @t159 @t166 (not @t167)))) % 79.42/92.61 (step @p236 :rule chain_m_resolution :premises (@p235 @p230 @p233 @p207) :args (@t166 @t174 (@list @t160 @t158 @t167))) % 79.42/92.61 (step @p237 :rule cnf_or_neg :args (@t168 1)) % 79.42/92.61 (step @p238 :rule chain_m_resolution :premises (@p237 @p223) :args ((not @t165) @t169 @t170)) % 79.42/92.61 (step @p239 :rule cnf_equiv_pos2 :args (@t166)) % 79.42/92.61 (step @p240 :rule reordering :premises (@p239) :args ((or @t165 @t175 (not @t166)))) % 79.42/92.61 (step @p241 :rule chain_m_resolution :premises (@p240 @p238 @p236) :args (@t175 @t176 (@list @t165 @t166))) % 79.42/92.61 (step @p242 :rule skolemize :premises (@p241)) % 79.42/92.61 (step @p243 :rule cnf_or_pos :args (@t183)) % 79.42/92.61 (step @p244 :rule reordering :premises (@p243) :args ((or @t161 @t182 @t184))) % 79.42/92.61 (step @p245 :rule chain_m_resolution :premises (@p244 @p230 @p242) :args (@t184 (@list false true) (@list @t160 @t182))) % 79.42/92.61 (step @p246 :rule eq-symm :args (@t180 @t181)) % 79.42/92.61 (step @p247 :rule nary_cong :premises (@p197 @p246) :args (@t185)) % 79.42/92.61 (step @p248 :rule refl :args (@t186)) % 79.42/92.61 (step @p249 :rule cong :premises (@p248 @p247) :args ((=> @t186 @t185))) % 79.42/92.61 (assume-push @p259 @t186) % 79.42/92.61 (step @p251 :rule instantiate :premises (@p169) :args ((@list @t178 @t177 @t150 @t149))) % 79.42/92.61 (step-pop @p260 :rule scope :premises (@p251)) % 79.42/92.61 (step @p252 :rule process_scope :premises (@p260) :args (@t185)) % 79.42/92.61 (step @p254 :rule eq_resolve :premises (@p252 @p249)) % 79.42/92.61 (step @p255 :rule implies_elim :premises (@p254)) % 79.42/92.61 (step @p256 false :rule chain_m_resolution :premises (@p255 @p245 @p169) :args (false @t176 (@list @t183 @t186))) % 79.42/92.61 ) % 79.42/92.61 % SZS output end Proof % 79.42/92.61 % cvc5 exiting %------------------------------------------------------------------------------