%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU193+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 : n016.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 33.94s 34.27s % Output : Proof 33.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU193+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 % 0.17/0.34 % Computer : n016.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:36:09 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.53 %----Proving TF0_NAR, FOF, or CNF % 33.94/34.27 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.94/34.27 --- Run --no-e-matching --full-saturate-quant at 6... % 33.94/34.27 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.94/34.27 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.94/34.27 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.94/34.27 % SZS status Theorem % 33.94/34.27 % SZS output start Proof % 33.94/34.27 ( % 33.94/34.27 (declare-sort $$unsorted 0) % 33.94/34.27 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 33.94/34.27 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.94/34.27 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 33.94/34.27 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 33.94/34.27 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 33.94/34.27 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 33.94/34.27 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 33.94/34.27 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 33.94/34.27 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 33.94/34.27 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 33.94/34.27 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 33.94/34.27 (declare-const tptp.empty_set $$unsorted) % 33.94/34.27 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 33.94/34.27 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 33.94/34.27 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 33.94/34.27 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 33.94/34.27 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 33.94/34.27 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 33.94/34.27 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 33.94/34.27 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 33.94/34.27 (declare-const tptp.empty (-> $$unsorted Bool)) % 33.94/34.27 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 33.94/34.27 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 33.94/34.27 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 33.94/34.27 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 33.94/34.27 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 33.94/34.27 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 33.94/34.27 (declare-const tptp.relation (-> $$unsorted Bool)) % 33.94/34.27 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 33.94/34.27 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 33.94/34.27 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 33.94/34.27 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 33.94/34.27 (define @t1 () (@var "A" $$unsorted)) % 33.94/34.27 (define @t2 () (@var "B" $$unsorted)) % 33.94/34.27 (define @t3 () (tptp.in @t2 @t1)) % 33.94/34.27 (define @t4 () (not @t3)) % 33.94/34.27 (define @t5 () (tptp.in @t1 @t2)) % 33.94/34.27 (define @t6 () (@list @t1 @t2)) % 33.94/34.27 (define @t7 () (tptp.proper_subset @t2 @t1)) % 33.94/34.27 (define @t8 () (tptp.proper_subset @t1 @t2)) % 33.94/34.27 (define @t9 () (tptp.relation @t1)) % 33.94/34.27 (define @t10 () (tptp.empty @t1)) % 33.94/34.27 (define @t11 () (@list @t1)) % 33.94/34.27 (define @t12 () (tptp.unordered_pair @t1 @t2)) % 33.94/34.27 (define @t13 () (tptp.set_union2 @t2 @t1)) % 33.94/34.27 (define @t14 () (tptp.set_union2 @t1 @t2)) % 33.94/34.27 (define @t15 () (tptp.set_intersection2 @t1 @t2)) % 33.94/34.27 (define @t16 () (@var "D" $$unsorted)) % 33.94/34.27 (define @t17 () (@var "C" $$unsorted)) % 33.94/34.27 (define @t18 () (tptp.in @t17 @t1)) % 33.94/34.27 (define @t19 () (tptp.ordered_pair @t17 @t16)) % 33.94/34.27 (define @t20 () (tptp.in @t19 @t2)) % 33.94/34.27 (define @t21 () (@list @t17 @t16)) % 33.94/34.27 (define @t22 () (tptp.identity_relation @t1)) % 33.94/34.27 (define @t23 () (tptp.relation @t2)) % 33.94/34.27 (define @t24 () (tptp.subset @t1 @t2)) % 33.94/34.27 (define @t25 () (= @t1 @t2)) % 33.94/34.27 (define @t26 () (@var "E" $$unsorted)) % 33.94/34.27 (define @t27 () (tptp.ordered_pair @t16 @t26)) % 33.94/34.27 (define @t28 () (tptp.in @t27 @t1)) % 33.94/34.27 (define @t29 () (tptp.in @t16 @t2)) % 33.94/34.27 (define @t30 () (tptp.in @t27 @t17)) % 33.94/34.27 (define @t31 () (@list @t16 @t26)) % 33.94/34.27 (define @t32 () (tptp.relation_dom_restriction @t1 @t2)) % 33.94/34.27 (define @t33 () (= (= @t17 @t32) (forall @t31 (= @t30 (and @t29 @t28))))) % 33.94/34.27 (define @t34 () (tptp.relation @t17)) % 33.94/34.27 (define @t35 () (@list @t2 @t17)) % 33.94/34.27 (define @t36 () (forall @t35 (=> @t34 @t33))) % 33.94/34.27 (define @t37 () (=> @t9 @t36)) % 33.94/34.27 (define @t38 () (forall @t11 @t37)) % 33.94/34.27 (define @t39 () (@list @t2)) % 33.94/34.27 (define @t40 () (= @t2 tptp.empty_set)) % 33.94/34.27 (define @t41 () (= @t2 (tptp.set_meet @t1))) % 33.94/34.27 (define @t42 () (= @t1 tptp.empty_set)) % 33.94/34.27 (define @t43 () (tptp.in @t17 @t16)) % 33.94/34.27 (define @t44 () (tptp.in @t16 @t1)) % 33.94/34.27 (define @t45 () (@list @t16)) % 33.94/34.27 (define @t46 () (tptp.in @t17 @t2)) % 33.94/34.27 (define @t47 () (@list @t17)) % 33.94/34.27 (define @t48 () (not @t42)) % 33.94/34.27 (define @t49 () (tptp.singleton @t1)) % 33.94/34.27 (define @t50 () (tptp.powerset @t1)) % 33.94/34.27 (define @t51 () (tptp.empty @t2)) % 33.94/34.27 (define @t52 () (tptp.element @t2 @t1)) % 33.94/34.27 (define @t53 () (not @t10)) % 33.94/34.27 (define @t54 () (tptp.in @t16 @t17)) % 33.94/34.27 (define @t55 () (@list @t1 @t2 @t17)) % 33.94/34.27 (define @t56 () (@var "F" $$unsorted)) % 33.94/34.27 (define @t57 () (tptp.cartesian_product2 @t1 @t2)) % 33.94/34.27 (define @t58 () (tptp.in @t19 @t1)) % 33.94/34.27 (define @t59 () (forall @t21 (=> @t58 @t20))) % 33.94/34.27 (define @t60 () (= @t24 @t59)) % 33.94/34.27 (define @t61 () (=> @t23 @t60)) % 33.94/34.27 (define @t62 () (forall @t39 @t61)) % 33.94/34.27 (define @t63 () (=> @t9 @t62)) % 33.94/34.27 (define @t64 () (forall @t11 @t63)) % 33.94/34.27 (define @t65 () (forall @t47 (=> @t18 @t46))) % 33.94/34.27 (define @t66 () (tptp.relation_dom @t1)) % 33.94/34.27 (define @t67 () (tptp.cast_to_subset @t1)) % 33.94/34.27 (define @t68 () (tptp.set_difference @t1 @t2)) % 33.94/34.27 (define @t69 () (tptp.in (tptp.ordered_pair @t16 @t17) @t1)) % 33.94/34.27 (define @t70 () (tptp.relation_rng @t1)) % 33.94/34.27 (define @t71 () (tptp.subset_complement @t1 @t2)) % 33.94/34.27 (define @t72 () (tptp.element @t2 @t50)) % 33.94/34.27 (define @t73 () (tptp.ordered_pair @t1 @t2)) % 33.94/34.27 (define @t74 () (tptp.relation_inverse @t1)) % 33.94/34.27 (define @t75 () (tptp.disjoint @t1 @t2)) % 33.94/34.27 (define @t76 () (tptp.relation_composition @t1 @t2)) % 33.94/34.27 (define @t77 () (tptp.complements_of_subsets @t1 @t2)) % 33.94/34.27 (define @t78 () (tptp.powerset @t50)) % 33.94/34.27 (define @t79 () (tptp.element @t2 @t78)) % 33.94/34.27 (define @t80 () (not @t25)) % 33.94/34.27 (define @t81 () (tptp.relation @t76)) % 33.94/34.27 (define @t82 () (and @t9 @t23)) % 33.94/34.27 (define @t83 () (tptp.union_of_subsets @t1 @t2)) % 33.94/34.27 (define @t84 () (tptp.meet_of_subsets @t1 @t2)) % 33.94/34.27 (define @t85 () (tptp.subset_difference @t1 @t2 @t17)) % 33.94/34.27 (define @t86 () (tptp.element @t17 @t50)) % 33.94/34.27 (define @t87 () (and @t72 @t86)) % 33.94/34.27 (define @t88 () (tptp.relation @t32)) % 33.94/34.27 (define @t89 () (forall @t6 (=> @t9 @t88))) % 33.94/34.27 (define @t90 () (tptp.relation_composition @t2 @t1)) % 33.94/34.27 (define @t91 () (and @t10 @t23)) % 33.94/34.27 (define @t92 () (tptp.empty tptp.empty_set)) % 33.94/34.27 (define @t93 () (not @t51)) % 33.94/34.27 (define @t94 () (tptp.empty @t66)) % 33.94/34.27 (define @t95 () (and @t53 @t9)) % 33.94/34.27 (define @t96 () (tptp.empty @t70)) % 33.94/34.27 (define @t97 () (tptp.disjoint @t49 @t2)) % 33.94/34.27 (define @t98 () (tptp.singleton @t2)) % 33.94/34.27 (define @t99 () (tptp.union @t2)) % 33.94/34.27 (define @t100 () (tptp.in @t1 @t17)) % 33.94/34.27 (define @t101 () (@list @t1 @t2 @t17 @t16)) % 33.94/34.27 (define @t102 () (tptp.element @t1 (tptp.powerset @t2))) % 33.94/34.27 (define @t103 () (tptp.set_difference @t2 @t17)) % 33.94/34.27 (define @t104 () (= @t1 @t17)) % 33.94/34.27 (define @t105 () (tptp.cartesian_product2 @t1 @t17)) % 33.94/34.27 (define @t106 () (not @t46)) % 33.94/34.27 (define @t107 () (tptp.subset @t17 @t2)) % 33.94/34.27 (define @t108 () (forall @t47 (not (and @t107 (not (tptp.are_equipotent @t17 @t2)) @t106)))) % 33.94/34.27 (define @t109 () (tptp.powerset @t17)) % 33.94/34.27 (define @t110 () (forall @t21 (=> (and @t46 (tptp.subset @t16 @t17)) @t29))) % 33.94/34.27 (define @t111 () (tptp.set_intersection2 @t2 @t17)) % 33.94/34.27 (define @t112 () (tptp.subset @t1 @t17)) % 33.94/34.27 (define @t113 () (tptp.element @t1 @t2)) % 33.94/34.27 (define @t114 () (tptp.in @t1 (tptp.relation_dom @t17))) % 33.94/34.27 (define @t115 () (tptp.in @t73 @t17)) % 33.94/34.27 (define @t116 () (tptp.relation_rng @t2)) % 33.94/34.27 (define @t117 () (tptp.relation_dom @t2)) % 33.94/34.27 (define @t118 () (tptp.relation_field @t17)) % 33.94/34.27 (define @t119 () (tptp.in @t2 @t17)) % 33.94/34.27 (define @t120 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 33.94/34.27 (define @t121 () (and @t18 @t46)) % 33.94/34.27 (define @t122 () (not @t75)) % 33.94/34.27 (define @t123 () (tptp.subset_complement @t1 @t17)) % 33.94/34.27 (define @t124 () (tptp.disjoint @t2 @t17)) % 33.94/34.27 (define @t125 () (tptp.relation_dom @t76)) % 33.94/34.27 (define @t126 () (not @t40)) % 33.94/34.27 (define @t127 () (tptp.element @t2 @t109)) % 33.94/34.27 (define @t128 () (tptp.in @t17 @t15)) % 33.94/34.27 (define @t129 () (= @t70 tptp.empty_set)) % 33.94/34.27 (define @t130 () (= @t66 tptp.empty_set)) % 33.94/34.27 (define @t131 () (tptp.subset (tptp.relation_dom_restriction @t2 @t1) @t2)) % 33.94/34.27 (define @t132 () (forall @t6 (=> @t23 @t131))) % 33.94/34.27 (define @t133 () (not @t132)) % 33.94/34.27 (define @t134 () (= @t49 (tptp.unordered_pair @t2 @t17))) % 33.94/34.27 (define @t135 () (@var "BOUND_VARIABLE_8478" $$unsorted)) % 33.94/34.27 (define @t136 () (not @t58)) % 33.94/34.27 (define @t137 () (= (tptp.subset @t1 @t135) (forall @t21 (or @t136 (tptp.in @t19 @t135))))) % 33.94/34.27 (define @t138 () (not (tptp.relation @t135))) % 33.94/34.27 (define @t139 () (not @t9)) % 33.94/34.27 (define @t140 () (or @t138 @t137)) % 33.94/34.27 (define @t141 () (or @t139 @t140)) % 33.94/34.27 (define @t142 () (forall (@list @t1 @t135) @t141)) % 33.94/34.27 (define @t143 () (@list @t135)) % 33.94/34.27 (define @t144 () (forall @t143 @t141)) % 33.94/34.27 (define @t145 () (forall @t143 @t140)) % 33.94/34.27 (define @t146 () (or @t139 @t145)) % 33.94/34.27 (define @t147 () (= @t24 (forall @t21 (or @t136 @t20)))) % 33.94/34.27 (define @t148 () (not @t23)) % 33.94/34.27 (define @t149 () (forall @t39 (or @t148 @t147))) % 33.94/34.27 (define @t150 () (forall @t6 (or @t148 @t131))) % 33.94/34.27 (define @t151 () (@quantifiers_skolemize @t150 1)) % 33.94/34.27 (define @t152 () (@quantifiers_skolemize @t150 0)) % 33.94/34.27 (define @t153 () (tptp.relation_dom_restriction @t151 @t152)) % 33.94/34.27 (define @t154 () (tptp.relation @t151)) % 33.94/34.27 (define @t155 () (tptp.subset @t153 @t151)) % 33.94/34.27 (define @t156 () (not @t154)) % 33.94/34.27 (define @t157 () (or @t156 @t155)) % 33.94/34.27 (define @t158 () (@list true)) % 33.94/34.27 (define @t159 () (@list @t157)) % 33.94/34.27 (define @t160 () (tptp.relation @t153)) % 33.94/34.27 (define @t161 () (or @t156 @t160)) % 33.94/34.27 (define @t162 () (forall @t21 (or (not (tptp.in @t19 @t153)) (tptp.in @t19 @t151)))) % 33.94/34.27 (define @t163 () (= @t155 @t162)) % 33.94/34.27 (define @t164 () (not @t160)) % 33.94/34.27 (define @t165 () (or @t164 @t156 @t163)) % 33.94/34.27 (define @t166 () (@list false false false)) % 33.94/34.27 (define @t167 () (not @t162)) % 33.94/34.27 (define @t168 () (@quantifiers_skolemize @t162 1)) % 33.94/34.27 (define @t169 () (@quantifiers_skolemize @t162 0)) % 33.94/34.27 (define @t170 () (tptp.ordered_pair @t169 @t168)) % 33.94/34.27 (define @t171 () (tptp.in @t170 @t153)) % 33.94/34.27 (define @t172 () (tptp.in @t170 @t151)) % 33.94/34.27 (define @t173 () (not @t171)) % 33.94/34.27 (define @t174 () (or @t173 @t172)) % 33.94/34.27 (define @t175 () (@list @t174)) % 33.94/34.27 (define @t176 () (and (tptp.in @t169 @t152) @t172)) % 33.94/34.27 (define @t177 () (not @t176)) % 33.94/34.27 (define @t178 () (@var "BOUND_VARIABLE_8308" $$unsorted)) % 33.94/34.27 (define @t179 () (@var "BOUND_VARIABLE_8310" $$unsorted)) % 33.94/34.27 (define @t180 () (= (= @t179 (tptp.relation_dom_restriction @t1 @t178)) (forall @t31 (= (tptp.in @t27 @t179) (and (tptp.in @t16 @t178) @t28))))) % 33.94/34.27 (define @t181 () (not (tptp.relation @t179))) % 33.94/34.27 (define @t182 () (or @t139 @t181 @t180)) % 33.94/34.27 (define @t183 () (or @t181 @t180)) % 33.94/34.27 (define @t184 () (or @t139 @t183)) % 33.94/34.27 (define @t185 () (@list @t1 @t178 @t179)) % 33.94/34.27 (define @t186 () (forall @t185 @t184)) % 33.94/34.27 (define @t187 () (@list @t178 @t179)) % 33.94/34.27 (define @t188 () (forall @t187 @t184)) % 33.94/34.27 (define @t189 () (forall @t187 @t183)) % 33.94/34.27 (define @t190 () (or @t139 @t189)) % 33.94/34.27 (define @t191 () (forall @t35 (or (not @t34) @t33))) % 33.94/34.27 (define @t192 () (tptp.in @t27 @t153)) % 33.94/34.27 (define @t193 () (and (tptp.in @t16 @t152) (tptp.in @t27 @t151))) % 33.94/34.27 (define @t194 () (forall @t31 (= @t193 @t192))) % 33.94/34.27 (define @t195 () (forall @t31 (= @t192 @t193))) % 33.94/34.27 (define @t196 () (= (= @t153 @t153) @t195)) % 33.94/34.27 (define @t197 () (or @t156 @t164 @t196)) % 33.94/34.27 (define @t198 () (forall @t185 @t182)) % 33.94/34.27 (define @t199 () (or @t156 @t164 @t194)) % 33.94/34.27 (define @t200 () (@list false)) % 33.94/34.27 (define @t201 () (= @t176 @t171)) % 33.94/34.27 (define @t202 () (= @t171 @t176)) % 33.94/34.27 (assume @p1 (forall @t6 (=> @t5 @t4))) % 33.94/34.27 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 33.94/34.27 (assume @p3 (forall @t11 (=> @t10 @t9))) % 33.94/34.27 (assume @p4 (forall @t6 (= @t12 (tptp.unordered_pair @t2 @t1)))) % 33.94/34.28 (assume @p5 (forall @t6 (= @t14 @t13))) % 33.94/34.28 (assume @p6 (forall @t6 (= @t15 (tptp.set_intersection2 @t2 @t1)))) % 33.94/34.28 (assume @p7 (forall @t6 (=> @t23 (= (= @t2 @t22) (forall @t21 (= @t20 (and @t18 (= @t17 @t16)))))))) % 33.94/34.28 (assume @p8 (forall @t6 (= @t25 (and @t24 (tptp.subset @t2 @t1))))) % 33.94/34.28 (assume @p9 @t38) % 33.94/34.28 (assume @p10 (forall @t11 (= @t9 (forall @t39 (not (and @t3 (forall @t21 (not (= @t2 @t19))))))))) % 33.94/34.28 (assume @p11 (forall @t6 (and (=> @t48 (= @t41 (forall @t47 (= @t46 (forall @t45 (=> @t44 @t43)))))) (=> @t42 (= @t41 @t40))))) % 33.94/34.28 (assume @p12 (forall @t6 (= (= @t2 @t49) (forall @t47 (= @t46 (= @t17 @t1)))))) % 33.94/34.28 (assume @p13 (forall @t11 (= @t42 (forall @t39 @t4)))) % 33.94/34.28 (assume @p14 (forall @t6 (= (= @t2 @t50) (forall @t47 (= @t46 (tptp.subset @t17 @t1)))))) % 33.94/34.28 (assume @p15 (forall @t6 (and (=> @t53 (= @t52 @t3)) (=> @t10 (= @t52 @t51))))) % 33.94/34.28 (assume @p16 (forall @t55 (= (= @t17 @t12) (forall @t45 (= @t54 (or (= @t16 @t1) (= @t16 @t2))))))) % 33.94/34.28 (assume @p17 (forall @t55 (= (= @t17 @t14) (forall @t45 (= @t54 (or @t44 @t29)))))) % 33.94/34.28 (assume @p18 (forall @t55 (= (= @t17 @t57) (forall @t45 (= @t54 (exists (@list @t26 @t56) (and (tptp.in @t26 @t1) (tptp.in @t56 @t2) (= @t16 (tptp.ordered_pair @t26 @t56))))))))) % 33.94/34.28 (assume @p19 @t64) % 33.94/34.28 (assume @p20 (forall @t6 (= @t24 @t65))) % 33.94/34.28 (assume @p21 (forall @t55 (= (= @t17 @t15) (forall @t45 (= @t54 (and @t44 @t29)))))) % 33.94/34.28 (assume @p22 (forall @t11 (=> @t9 (forall @t39 (= (= @t2 @t66) (forall @t47 (= @t46 (exists @t45 @t58)))))))) % 33.94/34.28 (assume @p23 (forall @t11 (= @t67 @t1))) % 33.94/34.28 (assume @p24 (forall @t6 (= (= @t2 (tptp.union @t1)) (forall @t47 (= @t46 (exists @t45 (and @t43 @t44))))))) % 33.94/34.28 (assume @p25 (forall @t55 (= (= @t17 @t68) (forall @t45 (= @t54 (and @t44 (not @t29))))))) % 33.94/34.28 (assume @p26 (forall @t11 (=> @t9 (forall @t39 (= (= @t2 @t70) (forall @t47 (= @t46 (exists @t45 @t69)))))))) % 33.94/34.28 (assume @p27 (forall @t6 (=> @t72 (= @t71 @t68)))) % 33.94/34.28 (assume @p28 (forall @t6 (= @t73 (tptp.unordered_pair @t12 @t49)))) % 33.94/34.28 (assume @p29 (forall @t11 (=> @t9 (= (tptp.relation_field @t1) (tptp.set_union2 @t66 @t70))))) % 33.94/34.28 (assume @p30 (forall @t11 (=> @t9 (forall @t39 (=> @t23 (= (= @t2 @t74) (forall @t21 (= @t20 @t69)))))))) % 33.94/34.28 (assume @p31 (forall @t6 (= @t75 (= @t15 tptp.empty_set)))) % 33.94/34.28 (assume @p32 (forall @t11 (=> @t9 (forall @t39 (=> @t23 (forall @t47 (=> @t34 (= (= @t17 @t76) (forall @t31 (= @t30 (exists (@list @t56) (and (tptp.in (tptp.ordered_pair @t16 @t56) @t1) (tptp.in (tptp.ordered_pair @t56 @t26) @t2))))))))))))) % 33.94/34.28 (assume @p33 (forall @t6 (=> @t79 (forall @t47 (=> (tptp.element @t17 @t78) (= (= @t17 @t77) (forall @t45 (=> (tptp.element @t16 @t50) (= @t54 (tptp.in (tptp.subset_complement @t1 @t16) @t2)))))))))) % 33.94/34.28 (assume @p34 (forall @t6 (= @t8 (and @t24 @t80)))) % 33.94/34.28 (assume @p35 true) % 33.94/34.28 (assume @p36 (forall @t11 (tptp.element @t67 @t50))) % 33.94/34.28 (assume @p37 (forall @t6 (=> @t72 (tptp.element @t71 @t50)))) % 33.94/34.28 (assume @p38 (forall @t11 (=> @t9 (tptp.relation @t74)))) % 33.94/34.28 (assume @p39 (forall @t6 (=> @t82 @t81))) % 33.94/34.28 (assume @p40 (forall @t6 (=> @t79 (tptp.element @t83 @t50)))) % 33.94/34.28 (assume @p41 (forall @t11 (tptp.relation @t22))) % 33.94/34.28 (assume @p42 (forall @t6 (=> @t79 (tptp.element @t84 @t50)))) % 33.94/34.28 (assume @p43 (forall @t55 (=> @t87 (tptp.element @t85 @t50)))) % 33.94/34.28 (assume @p44 @t89) % 33.94/34.28 (assume @p45 (forall @t6 (=> @t79 (tptp.element @t77 @t78)))) % 33.94/34.28 (assume @p46 (forall @t11 (exists @t39 @t52))) % 33.94/34.28 (assume @p47 (forall @t6 (=> @t91 (and (tptp.empty @t90) (tptp.relation @t90))))) % 33.94/34.28 (assume @p48 (forall @t11 (not (tptp.empty @t50)))) % 33.94/34.28 (assume @p49 @t92) % 33.94/34.28 (assume @p50 (forall @t6 (not (tptp.empty @t73)))) % 33.94/34.28 (assume @p51 (forall @t6 (=> @t82 (tptp.relation @t14)))) % 33.94/34.28 (assume @p52 (forall @t11 (not (tptp.empty @t49)))) % 33.94/34.28 (assume @p53 (forall @t6 (=> @t53 (not (tptp.empty @t14))))) % 33.94/34.28 (assume @p54 (forall @t6 (not (tptp.empty @t12)))) % 33.94/34.28 (assume @p55 (forall @t6 (=> @t53 (not (tptp.empty @t13))))) % 33.94/34.28 (assume @p56 (and @t92 (tptp.relation tptp.empty_set))) % 33.94/34.28 (assume @p57 (forall @t6 (=> (and @t53 @t93) (not (tptp.empty @t57))))) % 33.94/34.28 (assume @p58 (forall @t11 (=> @t95 (not @t94)))) % 33.94/34.28 (assume @p59 (forall @t11 (=> @t95 (not @t96)))) % 33.94/34.28 (assume @p60 (forall @t11 (=> @t10 (and @t94 (tptp.relation @t66))))) % 33.94/34.28 (assume @p61 (forall @t11 (=> @t10 (and @t96 (tptp.relation @t70))))) % 33.94/34.28 (assume @p62 (forall @t6 (=> @t91 (and (tptp.empty @t76) @t81)))) % 33.94/34.28 (assume @p63 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 33.94/34.28 (assume @p64 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 33.94/34.28 (assume @p65 (forall @t6 (=> @t72 (= (tptp.subset_complement @t1 @t71) @t2)))) % 33.94/34.28 (assume @p66 (forall @t11 (=> @t9 (= (tptp.relation_inverse @t74) @t1)))) % 33.94/34.28 (assume @p67 (forall @t6 (=> @t79 (= (tptp.complements_of_subsets @t1 @t77) @t2)))) % 33.94/34.28 (assume @p68 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 33.94/34.28 (assume @p69 (forall @t11 (not (= @t49 tptp.empty_set)))) % 33.94/34.28 (assume @p70 (forall @t6 (=> @t5 (= (tptp.set_union2 @t49 @t2) @t2)))) % 33.94/34.28 (assume @p71 (forall @t6 (not (and @t97 @t5)))) % 33.94/34.28 (assume @p72 (forall @t6 (=> (not @t5) @t97))) % 33.94/34.28 (assume @p73 (forall @t6 (= (tptp.subset @t49 @t2) @t5))) % 33.94/34.28 (assume @p74 (forall @t6 (= (= @t68 tptp.empty_set) @t24))) % 33.94/34.28 (assume @p75 (forall @t6 (=> @t72 (forall @t47 (=> @t46 @t18))))) % 33.94/34.28 (assume @p76 (forall @t55 (=> @t24 (or @t18 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t17))))))) % 33.94/34.28 (assume @p77 (forall @t6 (= (tptp.subset @t1 @t98) (or @t42 (= @t1 @t98))))) % 33.94/34.28 (assume @p78 (forall @t6 (=> @t5 (tptp.subset @t1 @t99)))) % 33.94/34.28 (assume @p79 (forall @t101 (= (tptp.in @t73 (tptp.cartesian_product2 @t17 @t16)) (and @t100 (tptp.in @t2 @t16))))) % 33.94/34.28 (assume @p80 (forall @t6 (=> @t65 @t102))) % 33.94/34.28 (assume @p81 (exists @t11 (and @t10 @t9))) % 33.94/34.28 (assume @p82 (forall @t11 (=> @t53 (exists @t39 (and @t72 @t93))))) % 33.94/34.28 (assume @p83 (exists @t11 @t10)) % 33.94/34.28 (assume @p84 (exists @t11 @t95)) % 33.94/34.28 (assume @p85 (forall @t11 (exists @t39 (and @t72 @t51)))) % 33.94/34.28 (assume @p86 (exists @t11 @t53)) % 33.94/34.28 (assume @p87 (forall @t6 (=> @t79 (= @t83 @t99)))) % 33.94/34.28 (assume @p88 (forall @t6 (=> @t79 (= @t84 (tptp.set_meet @t2))))) % 33.94/34.28 (assume @p89 (forall @t55 (=> @t87 (= @t85 @t103)))) % 33.94/34.28 (assume @p90 (forall @t6 (tptp.subset @t1 @t1))) % 33.94/34.28 (assume @p91 (forall @t6 (=> @t75 (tptp.disjoint @t2 @t1)))) % 33.94/34.28 (assume @p92 (forall @t101 (not (and (= @t12 (tptp.unordered_pair @t17 @t16)) (not @t104) (not (= @t1 @t16)))))) % 33.94/34.28 (assume @p93 (forall @t55 (=> @t24 (and (tptp.subset @t105 (tptp.cartesian_product2 @t2 @t17)) (tptp.subset (tptp.cartesian_product2 @t17 @t1) (tptp.cartesian_product2 @t17 @t2)))))) % 33.94/34.28 (assume @p94 (forall @t101 (=> (and @t24 (tptp.subset @t17 @t16)) (tptp.subset @t105 (tptp.cartesian_product2 @t2 @t16))))) % 33.94/34.28 (assume @p95 (forall @t6 (=> @t24 (= @t14 @t2)))) % 33.94/34.28 (assume @p96 (forall @t11 (exists @t39 (and @t5 @t110 (forall @t47 (=> @t46 (tptp.in @t109 @t2))) @t108)))) % 33.94/34.28 (assume @p97 (forall @t6 (tptp.subset @t15 @t1))) % 33.94/34.28 (assume @p98 (forall @t55 (=> (and @t24 @t112) (tptp.subset @t1 @t111)))) % 33.94/34.28 (assume @p99 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 33.94/34.28 (assume @p100 (forall @t6 (=> @t5 @t113))) % 33.94/34.28 (assume @p101 (forall @t55 (=> (and @t24 (tptp.subset @t2 @t17)) @t112))) % 33.94/34.28 (assume @p102 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 33.94/34.28 (assume @p103 (forall @t55 (=> @t34 (=> @t115 (and @t114 (tptp.in @t2 (tptp.relation_rng @t17))))))) % 33.94/34.28 (assume @p104 (forall @t11 (=> @t9 (tptp.subset @t1 (tptp.cartesian_product2 @t66 @t70))))) % 33.94/34.28 (assume @p105 (forall @t11 (=> @t9 (forall @t39 (=> @t23 (=> @t24 (and (tptp.subset @t66 @t117) (tptp.subset @t70 @t116)))))))) % 33.94/34.28 (assume @p106 (forall @t55 (=> @t24 (tptp.subset (tptp.set_intersection2 @t1 @t17) @t111)))) % 33.94/34.28 (assume @p107 (forall @t6 (=> @t24 (= @t15 @t1)))) % 33.94/34.28 (assume @p108 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 33.94/34.28 (assume @p109 (forall @t6 (=> @t113 (or @t51 @t5)))) % 33.94/34.28 (assume @p110 (forall @t6 (=> (forall @t47 (= @t18 @t46)) @t25))) % 33.94/34.28 (assume @p111 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 33.94/34.28 (assume @p112 (forall @t55 (=> @t34 (=> @t115 (and (tptp.in @t1 @t118) (tptp.in @t2 @t118)))))) % 33.94/34.28 (assume @p113 (forall @t55 (=> @t24 (tptp.subset (tptp.set_difference @t1 @t17) @t103)))) % 33.94/34.28 (assume @p114 (forall @t101 (=> (= @t73 @t19) (and @t104 (= @t2 @t16))))) % 33.94/34.28 (assume @p115 (forall @t6 (tptp.subset @t68 @t1))) % 33.94/34.28 (assume @p116 (forall @t11 (=> @t9 (and (= @t70 (tptp.relation_dom @t74)) (= @t66 (tptp.relation_rng @t74)))))) % 33.94/34.28 (assume @p117 (forall @t55 (= (tptp.subset @t12 @t17) (and @t100 @t119)))) % 33.94/34.28 (assume @p118 (forall @t6 (= @t120 @t14))) % 33.94/34.28 (assume @p119 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 33.94/34.28 (assume @p120 (forall @t6 (= @t102 @t24))) % 33.94/34.28 (assume @p121 (forall @t6 (and (not (and @t122 (forall @t47 (not @t121)))) (not (and (exists @t47 @t121) @t75))))) % 33.94/34.28 (assume @p122 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t42))) % 33.94/34.28 (assume @p123 (forall @t6 (= (tptp.set_difference @t14 @t2) @t68))) % 33.94/34.28 (assume @p124 (forall @t6 (=> @t72 (forall @t47 (=> @t86 (= @t124 (tptp.subset @t2 @t123))))))) % 33.94/34.28 (assume @p125 (forall @t11 (=> @t9 (forall @t39 (=> @t23 (tptp.subset @t125 @t66)))))) % 33.94/34.28 (assume @p126 (forall @t11 (=> @t9 (forall @t39 (=> @t23 (tptp.subset (tptp.relation_rng @t76) @t116)))))) % 33.94/34.28 (assume @p127 (forall @t6 (=> @t24 (= @t2 @t120)))) % 33.94/34.28 (assume @p128 (forall @t11 (=> @t9 (forall @t39 (=> @t23 (=> (tptp.subset @t70 @t117) (= @t125 @t66))))))) % 33.94/34.28 (assume @p129 (forall @t6 (=> @t79 (not (and @t126 (= @t77 tptp.empty_set)))))) % 33.94/34.28 (assume @p130 (forall @t11 (=> @t9 (forall @t39 (=> @t23 (=> (tptp.subset @t66 @t116) (= (tptp.relation_rng @t90) @t70))))))) % 33.94/34.28 (assume @p131 (forall @t6 (=> @t79 (=> @t126 (= (tptp.subset_difference @t1 @t67 @t83) (tptp.meet_of_subsets @t1 @t77)))))) % 33.94/34.28 (assume @p132 (forall @t6 (=> @t79 (=> @t126 (= (tptp.union_of_subsets @t1 @t77) (tptp.subset_difference @t1 @t67 @t84)))))) % 33.94/34.28 (assume @p133 (forall @t6 (= (tptp.set_difference @t1 @t68) @t15))) % 33.94/34.28 (assume @p134 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 33.94/34.28 (assume @p135 (forall @t55 (=> (and @t5 @t127) (tptp.element @t1 @t17)))) % 33.94/34.28 (assume @p136 (forall @t6 (and (not (and @t122 (forall @t47 (not @t128)))) (not (and (exists @t47 @t128) @t75))))) % 33.94/34.28 (assume @p137 (forall @t11 (=> @t48 (forall @t39 (=> @t72 (forall @t47 (=> (tptp.element @t17 @t1) (=> @t106 (tptp.in @t17 @t71))))))))) % 33.94/34.28 (assume @p138 (forall @t55 (=> @t86 (not (and (tptp.in @t2 @t123) @t119))))) % 33.94/34.28 (assume @p139 (forall @t11 (=> @t9 (=> (forall @t35 (not (tptp.in (tptp.ordered_pair @t2 @t17) @t1))) @t42)))) % 33.94/34.28 (assume @p140 (forall @t55 (not (and @t5 @t127 (tptp.empty @t17))))) % 33.94/34.28 (assume @p141 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 33.94/34.28 (assume @p142 (forall @t6 (not (and @t24 @t7)))) % 33.94/34.28 (assume @p143 (forall @t55 (=> (and @t24 @t124) (tptp.disjoint @t1 @t17)))) % 33.94/34.28 (assume @p144 (forall @t11 (=> @t9 (=> (or @t130 @t129) @t42)))) % 33.94/34.28 (assume @p145 (forall @t11 (=> @t9 (= @t130 @t129)))) % 33.94/34.28 (assume @p146 (forall @t6 (= (= (tptp.set_difference @t1 @t98) @t1) @t4))) % 33.94/34.28 (assume @p147 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t49))) % 33.94/34.28 (assume @p148 (forall @t11 (=> @t10 @t42))) % 33.94/34.28 (assume @p149 (forall @t6 (=> (tptp.subset @t49 @t98) @t25))) % 33.94/34.28 (assume @p150 (forall @t11 (and (= (tptp.relation_dom @t22) @t1) (= (tptp.relation_rng @t22) @t1)))) % 33.94/34.28 (assume @p151 (forall @t101 (=> (tptp.relation @t16) (= (tptp.in @t73 (tptp.relation_composition (tptp.identity_relation @t17) @t16)) (and @t100 (tptp.in @t73 @t16)))))) % 33.94/34.28 (assume @p152 (forall @t6 (not (and @t5 @t51)))) % 33.94/34.28 (assume @p153 (forall @t6 (tptp.subset @t1 @t14))) % 33.94/34.28 (assume @p154 (forall @t6 (= @t75 (= @t68 @t1)))) % 33.94/34.28 (assume @p155 (forall @t55 (=> @t34 (= (tptp.in @t1 (tptp.relation_dom (tptp.relation_dom_restriction @t17 @t2))) (and @t5 @t114))))) % 33.94/34.28 (assume @p156 @t133) % 33.94/34.28 (assume @p157 (forall @t6 (not (and @t10 @t80 @t51)))) % 33.94/34.28 (assume @p158 (forall @t55 (=> (and @t24 @t107) (tptp.subset (tptp.set_union2 @t1 @t17) @t2)))) % 33.94/34.28 (assume @p159 (forall @t55 (=> @t134 @t25))) % 33.94/34.28 (assume @p160 (forall @t11 (= (tptp.union @t50) @t1))) % 33.94/34.28 (assume @p161 (forall @t11 (exists @t39 (and @t5 @t110 (forall @t47 (not (and @t46 (forall @t45 (not (and @t29 (forall (@list @t26) (=> (tptp.subset @t26 @t17) (tptp.in @t26 @t16))))))))) @t108)))) % 33.94/34.28 (assume @p162 (forall @t55 (=> @t134 (= @t2 @t17)))) % 33.94/34.28 (step @p163 :rule aci_norm :args ((= @t141 (or @t139 @t138 @t137)))) % 33.94/34.28 (step @p164 :rule cong :premises (@p163) :args (@t142)) % 33.94/34.28 (step @p165 :rule quant-merge-prenex :args ((= (forall @t11 @t144) @t142))) % 33.94/34.28 (step @p166 :rule alpha_equiv :args (@t145 (@list @t135) (@list @t2))) % 33.94/34.28 (step @p167 :rule refl :args (@t139)) % 33.94/34.28 (step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t146)) % 33.94/34.28 (step @p169 :rule quant-miniscope-or :args ((= @t144 @t146))) % 33.94/34.28 (step @p170 :rule trans :premises (@p169 @p168)) % 33.94/34.28 (step @p171 :rule symm :premises (@p170)) % 33.94/34.28 (step @p172 :rule cong :premises (@p171) :args ((forall @t11 (or @t139 @t149)))) % 33.94/34.28 (step @p173 :rule trans :premises (@p172 @p165)) % 33.94/34.28 (step @p174 :rule trans :premises (@p173 @p164)) % 33.94/34.28 (step @p175 :rule bool-impl-elim :args (@t9 @t149)) % 33.94/34.28 (step @p176 :rule cong :premises (@p175) :args ((forall @t11 (=> @t9 @t149)))) % 33.94/34.28 (step @p177 :rule trans :premises (@p176 @p174)) % 33.94/34.28 (step @p178 :rule bool-impl-elim :args (@t23 @t147)) % 33.94/34.28 (step @p179 :rule cong :premises (@p178) :args ((forall @t39 (=> @t23 @t147)))) % 33.94/34.28 (step @p180 :rule bool-impl-elim :args (@t58 @t20)) % 33.94/34.28 (step @p181 :rule cong :premises (@p180) :args (@t59)) % 33.94/34.28 (step @p182 :rule refl :args (@t24)) % 33.94/34.28 (step @p183 :rule cong :premises (@p182 @p181) :args (@t60)) % 33.94/34.28 (step @p184 :rule refl :args (@t23)) % 33.94/34.28 (step @p185 :rule cong :premises (@p184 @p183) :args (@t61)) % 33.94/34.28 (step @p186 :rule cong :premises (@p185) :args (@t62)) % 33.94/34.28 (step @p187 :rule trans :premises (@p186 @p179)) % 33.94/34.28 (step @p188 :rule refl :args (@t9)) % 33.94/34.28 (step @p189 :rule cong :premises (@p188 @p187) :args (@t63)) % 33.94/34.28 (step @p190 :rule cong :premises (@p189) :args (@t64)) % 33.94/34.28 (step @p191 :rule trans :premises (@p190 @p177)) % 33.94/34.28 (step @p192 :rule eq_resolve :premises (@p19 @p191)) % 33.94/34.28 (step @p193 :rule instantiate :premises (@p192) :args ((@list @t153 @t151))) % 33.94/34.28 (step @p194 :rule bool-impl-elim :args (@t9 @t88)) % 33.94/34.28 (step @p195 :rule cong :premises (@p194) :args (@t89)) % 33.94/34.28 (step @p196 :rule eq_resolve :premises (@p44 @p195)) % 33.94/34.28 (step @p197 :rule instantiate :premises (@p196) :args ((@list @t151 @t152))) % 33.94/34.28 (step @p198 :rule bool-impl-elim :args (@t23 @t131)) % 33.94/34.28 (step @p199 :rule cong :premises (@p198) :args (@t132)) % 33.94/34.28 (step @p200 :rule cong :premises (@p199) :args (@t133)) % 33.94/34.28 (step @p201 :rule eq_resolve :premises (@p156 @p200)) % 33.94/34.28 (step @p202 :rule skolemize :premises (@p201)) % 33.94/34.28 (step @p203 :rule bool-double-not-elim :args (@t154)) % 33.94/34.28 (step @p204 :rule refl :args (@t157)) % 33.94/34.28 (step @p205 :rule nary_cong :premises (@p204 @p203) :args ((or @t157 (not @t156)))) % 33.94/34.28 (step @p206 :rule cnf_or_neg :args (@t157 0)) % 33.94/34.28 (step @p207 :rule eq_resolve :premises (@p206 @p205)) % 33.94/34.28 (step @p208 :rule reordering :premises (@p207) :args ((or @t154 @t157))) % 33.94/34.28 (step @p209 :rule chain_m_resolution :premises (@p208 @p202) :args (@t154 @t158 @t159)) % 33.94/34.28 (step @p210 :rule cnf_or_pos :args (@t161)) % 33.94/34.28 (step @p211 :rule reordering :premises (@p210) :args ((or @t156 @t160 (not @t161)))) % 33.94/34.28 (step @p212 :rule chain_m_resolution :premises (@p211 @p209 @p197) :args (@t160 (@list false false) (@list @t154 @t161))) % 33.94/34.28 (step @p213 :rule cnf_or_pos :args (@t165)) % 33.94/34.28 (step @p214 :rule reordering :premises (@p213) :args ((or @t156 @t164 @t163 (not @t165)))) % 33.94/34.28 (step @p215 :rule chain_m_resolution :premises (@p214 @p209 @p212 @p193) :args (@t163 @t166 (@list @t154 @t160 @t165))) % 33.94/34.28 (step @p216 :rule cnf_or_neg :args (@t157 1)) % 33.94/34.28 (step @p217 :rule chain_m_resolution :premises (@p216 @p202) :args ((not @t155) @t158 @t159)) % 33.94/34.28 (step @p218 :rule cnf_equiv_pos2 :args (@t163)) % 33.94/34.28 (step @p219 :rule reordering :premises (@p218) :args ((or @t155 @t167 (not @t163)))) % 33.94/34.28 (step @p220 :rule chain_m_resolution :premises (@p219 @p217 @p215) :args (@t167 (@list true false) (@list @t155 @t163))) % 33.94/34.28 (step @p221 :rule skolemize :premises (@p220)) % 33.94/34.28 (step @p222 :rule bool-double-not-elim :args (@t171)) % 33.94/34.28 (step @p223 :rule refl :args (@t174)) % 33.94/34.28 (step @p224 :rule nary_cong :premises (@p223 @p222) :args ((or @t174 (not @t173)))) % 33.94/34.28 (step @p225 :rule cnf_or_neg :args (@t174 0)) % 33.94/34.28 (step @p226 :rule eq_resolve :premises (@p225 @p224)) % 33.94/34.28 (step @p227 :rule reordering :premises (@p226) :args ((or @t171 @t174))) % 33.94/34.28 (step @p228 :rule chain_m_resolution :premises (@p227 @p221) :args (@t171 @t158 @t175)) % 33.94/34.28 (step @p229 :rule cnf_or_neg :args (@t174 1)) % 33.94/34.28 (step @p230 :rule chain_m_resolution :premises (@p229 @p221) :args ((not @t172) @t158 @t175)) % 33.94/34.28 (step @p231 :rule cnf_and_pos :args (@t176 1)) % 33.94/34.28 (step @p232 :rule reordering :premises (@p231) :args ((or @t172 @t177))) % 33.94/34.28 (step @p233 :rule chain_m_resolution :premises (@p232 @p230) :args (@t177 @t158 (@list @t172))) % 33.94/34.28 (step @p234 :rule aci_norm :args ((= @t184 @t182))) % 33.94/34.28 (step @p235 :rule cong :premises (@p234) :args (@t186)) % 33.94/34.28 (step @p236 :rule quant-merge-prenex :args ((= (forall @t11 @t188) @t186))) % 33.94/34.28 (step @p237 :rule alpha_equiv :args (@t189 (@list @t178 @t179) (@list @t2 @t17))) % 33.94/34.28 (step @p238 :rule nary_cong :premises (@p167 @p237) :args (@t190)) % 33.94/34.28 (step @p239 :rule quant-miniscope-or :args ((= @t188 @t190))) % 33.94/34.28 (step @p240 :rule trans :premises (@p239 @p238)) % 33.94/34.28 (step @p241 :rule symm :premises (@p240)) % 33.94/34.28 (step @p242 :rule cong :premises (@p241) :args ((forall @t11 (or @t139 @t191)))) % 33.94/34.28 (step @p243 :rule trans :premises (@p242 @p236)) % 33.94/34.28 (step @p244 :rule trans :premises (@p243 @p235)) % 33.94/34.28 (step @p245 :rule bool-impl-elim :args (@t9 @t191)) % 33.94/34.28 (step @p246 :rule cong :premises (@p245) :args ((forall @t11 (=> @t9 @t191)))) % 33.94/34.28 (step @p247 :rule trans :premises (@p246 @p244)) % 33.94/34.28 (step @p248 :rule bool-impl-elim :args (@t34 @t33)) % 33.94/34.28 (step @p249 :rule cong :premises (@p248) :args (@t36)) % 33.94/34.28 (step @p250 :rule cong :premises (@p188 @p249) :args (@t37)) % 33.94/34.28 (step @p251 :rule cong :premises (@p250) :args (@t38)) % 33.94/34.28 (step @p252 :rule trans :premises (@p251 @p247)) % 33.94/34.28 (step @p253 :rule eq_resolve :premises (@p9 @p252)) % 33.94/34.28 (step @p254 :rule bool-eq-true :args (@t194)) % 33.94/34.28 (step @p255 :rule eq-symm :args (true @t194)) % 33.94/34.28 (step @p256 :rule trans :premises (@p255 @p254)) % 33.94/34.28 (step @p257 :rule eq-symm :args (@t192 @t193)) % 33.94/34.28 (step @p258 :rule cong :premises (@p257) :args (@t195)) % 33.94/34.28 (step @p259 :rule eq-refl :args (@t153)) % 33.94/34.28 (step @p260 :rule cong :premises (@p259 @p258) :args (@t196)) % 33.94/34.28 (step @p261 :rule trans :premises (@p260 @p256)) % 33.94/34.28 (step @p262 :rule refl :args (@t164)) % 33.94/34.28 (step @p263 :rule refl :args (@t156)) % 33.94/34.28 (step @p264 :rule nary_cong :premises (@p263 @p262 @p261) :args (@t197)) % 33.94/34.28 (step @p265 :rule refl :args (@t198)) % 33.94/34.28 (step @p266 :rule cong :premises (@p265 @p264) :args ((=> @t198 @t197))) % 33.94/34.28 (assume-push @p290 @t198) % 33.94/34.28 (step @p268 :rule instantiate :premises (@p253) :args ((@list @t151 @t152 @t153))) % 33.94/34.28 (step-pop @p291 :rule scope :premises (@p268)) % 33.94/34.28 (step @p269 :rule process_scope :premises (@p291) :args (@t197)) % 33.94/34.28 (step @p271 :rule eq_resolve :premises (@p269 @p266)) % 33.94/34.28 (step @p272 :rule implies_elim :premises (@p271)) % 33.94/34.28 (step @p273 :rule chain_m_resolution :premises (@p272 @p253) :args (@t199 @t200 (@list @t198))) % 33.94/34.28 (step @p274 :rule cnf_or_pos :args (@t199)) % 33.94/34.28 (step @p275 :rule reordering :premises (@p274) :args ((or @t156 @t164 @t194 (not @t199)))) % 33.94/34.28 (step @p276 :rule chain_m_resolution :premises (@p275 @p209 @p212 @p273) :args (@t194 @t166 (@list @t154 @t160 @t199))) % 33.94/34.28 (step @p277 :rule eq-symm :args (@t176 @t171)) % 33.94/34.28 (step @p278 :rule refl :args (@t194)) % 33.94/34.28 (step @p279 :rule cong :premises (@p278 @p277) :args ((=> @t194 @t201))) % 33.94/34.28 (assume-push @p292 @t194) % 33.94/34.28 (step @p281 :rule instantiate :premises (@p276) :args ((@list @t169 @t168))) % 33.94/34.28 (step-pop @p293 :rule scope :premises (@p281)) % 33.94/34.28 (step @p282 :rule process_scope :premises (@p293) :args (@t201)) % 33.94/34.28 (step @p284 :rule eq_resolve :premises (@p282 @p279)) % 33.94/34.28 (step @p285 :rule implies_elim :premises (@p284)) % 33.94/34.28 (step @p286 :rule chain_m_resolution :premises (@p285 @p276) :args (@t202 @t200 (@list @t194))) % 33.94/34.28 (step @p287 :rule cnf_equiv_pos1 :args (@t202)) % 33.94/34.28 (step @p288 :rule reordering :premises (@p287) :args ((or @t173 @t176 (not @t202)))) % 33.94/34.28 (step @p289 false :rule chain_m_resolution :premises (@p288 @p286 @p233 @p228) :args (false (@list false true false) (@list @t202 @t176 @t171))) % 33.94/34.28 ) % 33.94/34.28 % SZS output end Proof % 33.94/34.28 % cvc5 exiting %------------------------------------------------------------------------------