%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU201+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 : n026.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 08:50:56 AM UTC 2026 % Result : Theorem 132.31s 132.59s % Output : Proof 127.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU201+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 % 0.16/0.34 % Computer : n026.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:38:10 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.53 %----Proving TF0_NAR, FOF, or CNF % 132.31/132.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 132.31/132.59 --- Run --no-e-matching --full-saturate-quant at 6... % 132.31/132.59 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 132.31/132.59 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 132.31/132.59 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 132.31/132.59 --- Run --trigger-sel=max --full-saturate-quant at 15... % 132.31/132.59 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 132.31/132.59 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 132.31/132.59 --- Run --prenex-quant=none --full-saturate-quant at 30... % 132.31/132.59 % SZS status Theorem % 132.31/132.59 % SZS output start Proof % 132.31/132.59 ( % 132.31/132.59 (declare-sort $$unsorted 0) % 132.31/132.59 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 132.31/132.59 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.empty_set $$unsorted) % 132.31/132.59 (declare-const tptp.empty (-> $$unsorted Bool)) % 132.31/132.59 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.relation (-> $$unsorted Bool)) % 132.31/132.59 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 132.31/132.59 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 132.31/132.59 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 132.31/132.59 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 132.31/132.59 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 132.31/132.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 132.31/132.59 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 132.31/132.59 (define @t1 () (@var "A" $$unsorted)) % 132.31/132.59 (define @t2 () (@var "B" $$unsorted)) % 132.31/132.59 (define @t3 () (tptp.in @t2 @t1)) % 132.31/132.59 (define @t4 () (not @t3)) % 132.31/132.59 (define @t5 () (tptp.in @t1 @t2)) % 132.31/132.59 (define @t6 () (@list @t1 @t2)) % 132.31/132.59 (define @t7 () (tptp.proper_subset @t2 @t1)) % 132.31/132.59 (define @t8 () (tptp.proper_subset @t1 @t2)) % 132.31/132.59 (define @t9 () (tptp.relation @t1)) % 132.31/132.59 (define @t10 () (tptp.empty @t1)) % 132.31/132.59 (define @t11 () (@list @t1)) % 132.31/132.59 (define @t12 () (tptp.unordered_pair @t1 @t2)) % 132.31/132.59 (define @t13 () (tptp.set_union2 @t2 @t1)) % 132.31/132.59 (define @t14 () (tptp.set_union2 @t1 @t2)) % 132.31/132.59 (define @t15 () (tptp.set_intersection2 @t1 @t2)) % 132.31/132.59 (define @t16 () (@var "D" $$unsorted)) % 132.31/132.59 (define @t17 () (@var "C" $$unsorted)) % 132.31/132.59 (define @t18 () (tptp.in @t17 @t1)) % 132.31/132.59 (define @t19 () (tptp.ordered_pair @t17 @t16)) % 132.31/132.59 (define @t20 () (tptp.in @t19 @t2)) % 132.31/132.59 (define @t21 () (@list @t17 @t16)) % 132.31/132.59 (define @t22 () (tptp.identity_relation @t1)) % 132.31/132.59 (define @t23 () (tptp.relation @t2)) % 132.31/132.59 (define @t24 () (tptp.subset @t1 @t2)) % 132.31/132.59 (define @t25 () (= @t1 @t2)) % 132.31/132.59 (define @t26 () (@var "E" $$unsorted)) % 132.31/132.59 (define @t27 () (tptp.ordered_pair @t16 @t26)) % 132.31/132.59 (define @t28 () (tptp.in @t16 @t2)) % 132.31/132.59 (define @t29 () (tptp.in @t27 @t17)) % 132.31/132.59 (define @t30 () (@list @t16 @t26)) % 132.31/132.59 (define @t31 () (tptp.relation_dom_restriction @t1 @t2)) % 132.31/132.59 (define @t32 () (tptp.relation @t17)) % 132.31/132.59 (define @t33 () (@list @t2 @t17)) % 132.31/132.59 (define @t34 () (tptp.in @t26 @t1)) % 132.31/132.59 (define @t35 () (tptp.relation_rng_restriction @t1 @t2)) % 132.31/132.59 (define @t36 () (@list @t17)) % 132.31/132.59 (define @t37 () (@list @t2)) % 132.31/132.59 (define @t38 () (= @t2 tptp.empty_set)) % 132.31/132.59 (define @t39 () (= @t2 (tptp.set_meet @t1))) % 132.31/132.59 (define @t40 () (= @t1 tptp.empty_set)) % 132.31/132.59 (define @t41 () (tptp.in @t17 @t16)) % 132.31/132.59 (define @t42 () (tptp.in @t16 @t1)) % 132.31/132.59 (define @t43 () (@list @t16)) % 132.31/132.59 (define @t44 () (tptp.in @t17 @t2)) % 132.31/132.59 (define @t45 () (not @t40)) % 132.31/132.59 (define @t46 () (tptp.singleton @t1)) % 132.31/132.59 (define @t47 () (tptp.powerset @t1)) % 132.31/132.59 (define @t48 () (tptp.in @t19 @t1)) % 132.31/132.59 (define @t49 () (tptp.empty @t2)) % 132.31/132.59 (define @t50 () (tptp.element @t2 @t1)) % 132.31/132.59 (define @t51 () (not @t10)) % 132.31/132.59 (define @t52 () (tptp.in @t16 @t17)) % 132.31/132.59 (define @t53 () (@list @t1 @t2 @t17)) % 132.31/132.59 (define @t54 () (@var "F" $$unsorted)) % 132.31/132.59 (define @t55 () (tptp.cartesian_product2 @t1 @t2)) % 132.31/132.59 (define @t56 () (forall @t36 (=> @t18 @t44))) % 132.31/132.59 (define @t57 () (= @t24 @t56)) % 132.31/132.59 (define @t58 () (forall @t6 @t57)) % 132.31/132.59 (define @t59 () (tptp.relation_dom @t1)) % 132.31/132.59 (define @t60 () (tptp.cast_to_subset @t1)) % 132.31/132.59 (define @t61 () (tptp.set_difference @t1 @t2)) % 132.31/132.59 (define @t62 () (tptp.in (tptp.ordered_pair @t16 @t17) @t1)) % 132.31/132.59 (define @t63 () (tptp.relation_rng @t1)) % 132.31/132.59 (define @t64 () (tptp.subset_complement @t1 @t2)) % 132.31/132.59 (define @t65 () (tptp.element @t2 @t47)) % 132.31/132.59 (define @t66 () (tptp.ordered_pair @t1 @t2)) % 132.31/132.59 (define @t67 () (tptp.relation_inverse @t1)) % 132.31/132.59 (define @t68 () (tptp.disjoint @t1 @t2)) % 132.31/132.59 (define @t69 () (tptp.relation_composition @t1 @t2)) % 132.31/132.59 (define @t70 () (tptp.complements_of_subsets @t1 @t2)) % 132.31/132.59 (define @t71 () (tptp.powerset @t47)) % 132.31/132.59 (define @t72 () (tptp.element @t2 @t71)) % 132.31/132.59 (define @t73 () (not @t25)) % 132.31/132.59 (define @t74 () (tptp.relation @t69)) % 132.31/132.59 (define @t75 () (and @t9 @t23)) % 132.31/132.59 (define @t76 () (tptp.union_of_subsets @t1 @t2)) % 132.31/132.59 (define @t77 () (tptp.meet_of_subsets @t1 @t2)) % 132.31/132.59 (define @t78 () (tptp.subset_difference @t1 @t2 @t17)) % 132.31/132.59 (define @t79 () (tptp.element @t17 @t47)) % 132.31/132.59 (define @t80 () (and @t65 @t79)) % 132.31/132.59 (define @t81 () (tptp.relation_composition @t2 @t1)) % 132.31/132.59 (define @t82 () (and @t10 @t23)) % 132.31/132.59 (define @t83 () (tptp.empty tptp.empty_set)) % 132.31/132.59 (define @t84 () (not @t49)) % 132.31/132.59 (define @t85 () (tptp.empty @t59)) % 132.31/132.59 (define @t86 () (and @t51 @t9)) % 132.31/132.59 (define @t87 () (tptp.empty @t63)) % 132.31/132.59 (define @t88 () (tptp.disjoint @t46 @t2)) % 132.31/132.59 (define @t89 () (tptp.singleton @t2)) % 132.31/132.59 (define @t90 () (tptp.union @t2)) % 132.31/132.59 (define @t91 () (tptp.in @t1 @t17)) % 132.31/132.59 (define @t92 () (@list @t1 @t2 @t17 @t16)) % 132.31/132.59 (define @t93 () (tptp.element @t1 (tptp.powerset @t2))) % 132.31/132.59 (define @t94 () (tptp.set_difference @t2 @t17)) % 132.31/132.59 (define @t95 () (= @t1 @t17)) % 132.31/132.59 (define @t96 () (tptp.relation_rng @t17)) % 132.31/132.59 (define @t97 () (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t17))) (and @t5 (tptp.in @t1 @t96)))) % 132.31/132.59 (define @t98 () (forall @t53 (=> @t32 @t97))) % 132.31/132.59 (define @t99 () (tptp.relation_rng @t35)) % 132.31/132.59 (define @t100 () (tptp.subset @t99 @t1)) % 132.31/132.59 (define @t101 () (forall @t6 (=> @t23 @t100))) % 132.31/132.59 (define @t102 () (tptp.relation_rng @t2)) % 132.31/132.59 (define @t103 () (tptp.subset @t99 @t102)) % 132.31/132.59 (define @t104 () (forall @t6 (=> @t23 @t103))) % 132.31/132.59 (define @t105 () (tptp.cartesian_product2 @t1 @t17)) % 132.31/132.59 (define @t106 () (= @t99 (tptp.set_intersection2 @t102 @t1))) % 132.31/132.59 (define @t107 () (forall @t6 (=> @t23 @t106))) % 132.31/132.59 (define @t108 () (not @t107)) % 132.31/132.59 (define @t109 () (not @t44)) % 132.31/132.59 (define @t110 () (tptp.subset @t17 @t2)) % 132.31/132.59 (define @t111 () (forall @t36 (not (and @t110 (not (tptp.are_equipotent @t17 @t2)) @t109)))) % 132.31/132.59 (define @t112 () (tptp.powerset @t17)) % 132.31/132.59 (define @t113 () (forall @t21 (=> (and @t44 (tptp.subset @t16 @t17)) @t28))) % 132.31/132.59 (define @t114 () (tptp.set_intersection2 @t2 @t17)) % 132.31/132.59 (define @t115 () (tptp.subset @t1 @t114)) % 132.31/132.59 (define @t116 () (tptp.subset @t1 @t17)) % 132.31/132.59 (define @t117 () (and @t24 @t116)) % 132.31/132.59 (define @t118 () (forall @t53 (=> @t117 @t115))) % 132.31/132.59 (define @t119 () (tptp.element @t1 @t2)) % 132.31/132.59 (define @t120 () (tptp.in @t1 (tptp.relation_dom @t17))) % 132.31/132.59 (define @t121 () (tptp.in @t66 @t17)) % 132.31/132.59 (define @t122 () (tptp.relation_dom @t2)) % 132.31/132.59 (define @t123 () (tptp.relation_field @t17)) % 132.31/132.59 (define @t124 () (tptp.in @t2 @t17)) % 132.31/132.59 (define @t125 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 132.31/132.59 (define @t126 () (and @t18 @t44)) % 132.31/132.59 (define @t127 () (not @t68)) % 132.31/132.59 (define @t128 () (tptp.subset_complement @t1 @t17)) % 132.31/132.59 (define @t129 () (tptp.disjoint @t2 @t17)) % 132.31/132.59 (define @t130 () (tptp.relation_dom @t69)) % 132.31/132.59 (define @t131 () (not @t38)) % 132.31/132.59 (define @t132 () (tptp.element @t2 @t112)) % 132.31/132.59 (define @t133 () (tptp.in @t17 @t15)) % 132.31/132.59 (define @t134 () (= @t63 tptp.empty_set)) % 132.31/132.59 (define @t135 () (= @t59 tptp.empty_set)) % 132.31/132.59 (define @t136 () (tptp.relation_dom_restriction @t2 @t1)) % 132.31/132.59 (define @t137 () (= @t46 (tptp.unordered_pair @t2 @t17))) % 132.31/132.59 (define @t138 () (forall @t6 (or (not @t23) @t106))) % 132.31/132.59 (define @t139 () (@quantifiers_skolemize @t138 1)) % 132.31/132.59 (define @t140 () (tptp.relation_rng @t139)) % 132.31/132.59 (define @t141 () (@quantifiers_skolemize @t138 0)) % 132.31/132.59 (define @t142 () (tptp.set_intersection2 @t140 @t141)) % 132.31/132.59 (define @t143 () (@list @t140 @t141)) % 132.31/132.59 (define @t144 () (forall @t36 (or (not (tptp.in @t17 @t142)) (tptp.in @t17 @t140)))) % 132.31/132.59 (define @t145 () (tptp.subset @t142 @t140)) % 132.31/132.59 (define @t146 () (= @t145 @t144)) % 132.31/132.59 (define @t147 () (@list false false)) % 132.31/132.59 (define @t148 () (tptp.relation_rng (tptp.relation_rng_restriction @t141 @t139))) % 132.31/132.59 (define @t149 () (tptp.set_intersection2 @t141 @t140)) % 132.31/132.59 (define @t150 () (not (tptp.in @t17 @t149))) % 132.31/132.59 (define @t151 () (forall @t36 (or @t150 (tptp.in @t17 @t148)))) % 132.31/132.59 (define @t152 () (@quantifiers_skolemize @t151 0)) % 132.31/132.59 (define @t153 () (@list @t152)) % 132.31/132.59 (define @t154 () (forall @t36 (or @t150 (tptp.in @t17 @t141)))) % 132.31/132.59 (define @t155 () (tptp.subset @t149 @t141)) % 132.31/132.59 (define @t156 () (= @t155 @t154)) % 132.31/132.59 (define @t157 () (= @t148 @t142)) % 132.31/132.59 (define @t158 () (tptp.relation @t139)) % 132.31/132.59 (define @t159 () (not @t158)) % 132.31/132.59 (define @t160 () (or @t159 @t157)) % 132.31/132.59 (define @t161 () (@list true)) % 132.31/132.59 (define @t162 () (@list @t160)) % 132.31/132.59 (define @t163 () (= @t148 @t149)) % 132.31/132.59 (define @t164 () (tptp.subset @t149 @t148)) % 132.31/132.59 (define @t165 () (tptp.subset @t148 @t149)) % 132.31/132.59 (define @t166 () (and @t165 @t164)) % 132.31/132.59 (define @t167 () (= @t163 @t166)) % 132.31/132.59 (define @t168 () (not @t166)) % 132.31/132.59 (define @t169 () (@list true false)) % 132.31/132.59 (define @t170 () (not @t116)) % 132.31/132.59 (define @t171 () (not @t24)) % 132.31/132.59 (define @t172 () (@list @t141 @t139)) % 132.31/132.59 (define @t173 () (tptp.subset @t148 @t140)) % 132.31/132.59 (define @t174 () (or @t159 @t173)) % 132.31/132.59 (define @t175 () (tptp.subset @t148 @t141)) % 132.31/132.59 (define @t176 () (or @t159 @t175)) % 132.31/132.59 (define @t177 () (not @t173)) % 132.31/132.59 (define @t178 () (not @t175)) % 132.31/132.59 (define @t179 () (or @t178 @t177 @t165)) % 132.31/132.59 (define @t180 () (not @t164)) % 132.31/132.59 (define @t181 () (= @t164 @t151)) % 132.31/132.59 (define @t182 () (not @t151)) % 132.31/132.59 (define @t183 () (tptp.in @t152 @t149)) % 132.31/132.59 (define @t184 () (tptp.in @t152 @t148)) % 132.31/132.59 (define @t185 () (not @t183)) % 132.31/132.59 (define @t186 () (or @t185 @t184)) % 132.31/132.59 (define @t187 () (@list @t186)) % 132.31/132.59 (define @t188 () (tptp.in @t152 @t141)) % 132.31/132.59 (define @t189 () (or @t185 @t188)) % 132.31/132.59 (define @t190 () (tptp.in @t152 @t140)) % 132.31/132.59 (define @t191 () (and @t188 @t190)) % 132.31/132.59 (define @t192 () (= @t184 @t191)) % 132.31/132.59 (define @t193 () (or @t159 @t192)) % 132.31/132.59 (define @t194 () (not @t191)) % 132.31/132.59 (define @t195 () (not (tptp.in @t152 @t142))) % 132.31/132.59 (define @t196 () (or @t195 @t190)) % 132.31/132.59 (assume @p1 (forall @t6 (=> @t5 @t4))) % 132.31/132.59 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 132.31/132.59 (assume @p3 (forall @t11 (=> @t10 @t9))) % 132.31/132.59 (assume @p4 (forall @t6 (= @t12 (tptp.unordered_pair @t2 @t1)))) % 132.31/132.59 (assume @p5 (forall @t6 (= @t14 @t13))) % 132.31/132.59 (assume @p6 (forall @t6 (= @t15 (tptp.set_intersection2 @t2 @t1)))) % 132.31/132.59 (assume @p7 (forall @t6 (=> @t23 (= (= @t2 @t22) (forall @t21 (= @t20 (and @t18 (= @t17 @t16)))))))) % 132.31/132.59 (assume @p8 (forall @t6 (= @t25 (and @t24 (tptp.subset @t2 @t1))))) % 132.31/132.59 (assume @p9 (forall @t11 (=> @t9 (forall @t33 (=> @t32 (= (= @t17 @t31) (forall @t30 (= @t29 (and @t28 (tptp.in @t27 @t1)))))))))) % 132.31/132.59 (assume @p10 (forall @t6 (=> @t23 (forall @t36 (=> @t32 (= (= @t17 @t35) (forall @t30 (= @t29 (and @t34 (tptp.in @t27 @t2)))))))))) % 132.31/132.59 (assume @p11 (forall @t11 (= @t9 (forall @t37 (not (and @t3 (forall @t21 (not (= @t2 @t19))))))))) % 132.31/132.59 (assume @p12 (forall @t6 (and (=> @t45 (= @t39 (forall @t36 (= @t44 (forall @t43 (=> @t42 @t41)))))) (=> @t40 (= @t39 @t38))))) % 132.31/132.59 (assume @p13 (forall @t6 (= (= @t2 @t46) (forall @t36 (= @t44 (= @t17 @t1)))))) % 132.31/132.59 (assume @p14 (forall @t11 (= @t40 (forall @t37 @t4)))) % 132.31/132.59 (assume @p15 (forall @t6 (= (= @t2 @t47) (forall @t36 (= @t44 (tptp.subset @t17 @t1)))))) % 132.31/132.59 (assume @p16 (forall @t11 (=> @t9 (forall @t37 (=> @t23 (= @t25 (forall @t21 (= @t48 @t20)))))))) % 132.31/132.59 (assume @p17 (forall @t6 (and (=> @t51 (= @t50 @t3)) (=> @t10 (= @t50 @t49))))) % 132.31/132.59 (assume @p18 (forall @t53 (= (= @t17 @t12) (forall @t43 (= @t52 (or (= @t16 @t1) (= @t16 @t2))))))) % 132.31/132.59 (assume @p19 (forall @t53 (= (= @t17 @t14) (forall @t43 (= @t52 (or @t42 @t28)))))) % 132.31/132.59 (assume @p20 (forall @t53 (= (= @t17 @t55) (forall @t43 (= @t52 (exists (@list @t26 @t54) (and @t34 (tptp.in @t54 @t2) (= @t16 (tptp.ordered_pair @t26 @t54))))))))) % 132.31/132.59 (assume @p21 (forall @t11 (=> @t9 (forall @t37 (=> @t23 (= @t24 (forall @t21 (=> @t48 @t20)))))))) % 132.31/132.59 (assume @p22 @t58) % 132.31/132.59 (assume @p23 (forall @t53 (= (= @t17 @t15) (forall @t43 (= @t52 (and @t42 @t28)))))) % 132.31/132.59 (assume @p24 (forall @t11 (=> @t9 (forall @t37 (= (= @t2 @t59) (forall @t36 (= @t44 (exists @t43 @t48)))))))) % 132.31/132.59 (assume @p25 (forall @t11 (= @t60 @t1))) % 132.31/132.59 (assume @p26 (forall @t6 (= (= @t2 (tptp.union @t1)) (forall @t36 (= @t44 (exists @t43 (and @t41 @t42))))))) % 132.31/132.59 (assume @p27 (forall @t53 (= (= @t17 @t61) (forall @t43 (= @t52 (and @t42 (not @t28))))))) % 132.31/132.59 (assume @p28 (forall @t11 (=> @t9 (forall @t37 (= (= @t2 @t63) (forall @t36 (= @t44 (exists @t43 @t62)))))))) % 132.31/132.59 (assume @p29 (forall @t6 (=> @t65 (= @t64 @t61)))) % 132.31/132.59 (assume @p30 (forall @t6 (= @t66 (tptp.unordered_pair @t12 @t46)))) % 132.31/132.59 (assume @p31 (forall @t11 (=> @t9 (= (tptp.relation_field @t1) (tptp.set_union2 @t59 @t63))))) % 132.31/132.59 (assume @p32 (forall @t11 (=> @t9 (forall @t37 (=> @t23 (= (= @t2 @t67) (forall @t21 (= @t20 @t62)))))))) % 132.31/132.59 (assume @p33 (forall @t6 (= @t68 (= @t15 tptp.empty_set)))) % 132.31/132.59 (assume @p34 (forall @t11 (=> @t9 (forall @t37 (=> @t23 (forall @t36 (=> @t32 (= (= @t17 @t69) (forall @t30 (= @t29 (exists (@list @t54) (and (tptp.in (tptp.ordered_pair @t16 @t54) @t1) (tptp.in (tptp.ordered_pair @t54 @t26) @t2))))))))))))) % 132.31/132.59 (assume @p35 (forall @t6 (=> @t72 (forall @t36 (=> (tptp.element @t17 @t71) (= (= @t17 @t70) (forall @t43 (=> (tptp.element @t16 @t47) (= @t52 (tptp.in (tptp.subset_complement @t1 @t16) @t2)))))))))) % 132.31/132.59 (assume @p36 (forall @t6 (= @t8 (and @t24 @t73)))) % 132.31/132.59 (assume @p37 true) % 132.31/132.59 (assume @p38 (forall @t11 (tptp.element @t60 @t47))) % 132.31/132.59 (assume @p39 (forall @t6 (=> @t65 (tptp.element @t64 @t47)))) % 132.31/132.59 (assume @p40 (forall @t11 (=> @t9 (tptp.relation @t67)))) % 132.31/132.59 (assume @p41 (forall @t6 (=> @t75 @t74))) % 132.31/132.59 (assume @p42 (forall @t6 (=> @t72 (tptp.element @t76 @t47)))) % 132.31/132.59 (assume @p43 (forall @t11 (tptp.relation @t22))) % 132.31/132.59 (assume @p44 (forall @t6 (=> @t72 (tptp.element @t77 @t47)))) % 132.31/132.59 (assume @p45 (forall @t53 (=> @t80 (tptp.element @t78 @t47)))) % 132.31/132.59 (assume @p46 (forall @t6 (=> @t9 (tptp.relation @t31)))) % 132.31/132.59 (assume @p47 (forall @t6 (=> @t72 (tptp.element @t70 @t71)))) % 132.31/132.59 (assume @p48 (forall @t6 (=> @t23 (tptp.relation @t35)))) % 132.31/132.59 (assume @p49 (forall @t11 (exists @t37 @t50))) % 132.31/132.59 (assume @p50 (forall @t6 (=> @t82 (and (tptp.empty @t81) (tptp.relation @t81))))) % 132.31/132.59 (assume @p51 (forall @t6 (=> @t75 (tptp.relation @t15)))) % 132.31/132.59 (assume @p52 (forall @t11 (not (tptp.empty @t47)))) % 132.31/132.59 (assume @p53 @t83) % 132.31/132.59 (assume @p54 (forall @t6 (not (tptp.empty @t66)))) % 132.31/132.59 (assume @p55 (forall @t6 (=> @t75 (tptp.relation @t14)))) % 132.31/132.59 (assume @p56 (forall @t11 (not (tptp.empty @t46)))) % 132.31/132.59 (assume @p57 (forall @t6 (=> @t51 (not (tptp.empty @t14))))) % 132.31/132.59 (assume @p58 (forall @t6 (not (tptp.empty @t12)))) % 132.31/132.59 (assume @p59 (forall @t6 (=> @t51 (not (tptp.empty @t13))))) % 132.31/132.59 (assume @p60 (and @t83 (tptp.relation tptp.empty_set))) % 132.31/132.59 (assume @p61 (forall @t6 (=> (and @t51 @t84) (not (tptp.empty @t55))))) % 132.31/132.59 (assume @p62 (forall @t11 (=> @t86 (not @t85)))) % 132.31/132.59 (assume @p63 (forall @t11 (=> @t86 (not @t87)))) % 132.31/132.59 (assume @p64 (forall @t11 (=> @t10 (and @t85 (tptp.relation @t59))))) % 132.31/132.59 (assume @p65 (forall @t11 (=> @t10 (and @t87 (tptp.relation @t63))))) % 132.31/132.59 (assume @p66 (forall @t6 (=> @t82 (and (tptp.empty @t69) @t74)))) % 132.31/132.59 (assume @p67 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 132.31/132.59 (assume @p68 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 132.31/132.59 (assume @p69 (forall @t6 (=> @t65 (= (tptp.subset_complement @t1 @t64) @t2)))) % 132.31/132.59 (assume @p70 (forall @t11 (=> @t9 (= (tptp.relation_inverse @t67) @t1)))) % 132.31/132.59 (assume @p71 (forall @t6 (=> @t72 (= (tptp.complements_of_subsets @t1 @t70) @t2)))) % 132.31/132.59 (assume @p72 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 132.31/132.59 (assume @p73 (forall @t11 (not (= @t46 tptp.empty_set)))) % 132.31/132.59 (assume @p74 (forall @t6 (=> @t5 (= (tptp.set_union2 @t46 @t2) @t2)))) % 132.31/132.59 (assume @p75 (forall @t6 (not (and @t88 @t5)))) % 132.31/132.59 (assume @p76 (forall @t6 (=> (not @t5) @t88))) % 132.31/132.59 (assume @p77 (forall @t6 (= (tptp.subset @t46 @t2) @t5))) % 132.31/132.59 (assume @p78 (forall @t6 (= (= @t61 tptp.empty_set) @t24))) % 132.31/132.59 (assume @p79 (forall @t6 (=> @t65 (forall @t36 (=> @t44 @t18))))) % 132.31/132.59 (assume @p80 (forall @t53 (=> @t24 (or @t18 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t17))))))) % 132.31/132.59 (assume @p81 (forall @t6 (= (tptp.subset @t1 @t89) (or @t40 (= @t1 @t89))))) % 132.31/132.59 (assume @p82 (forall @t6 (=> @t5 (tptp.subset @t1 @t90)))) % 132.31/132.59 (assume @p83 (forall @t92 (= (tptp.in @t66 (tptp.cartesian_product2 @t17 @t16)) (and @t91 (tptp.in @t2 @t16))))) % 132.31/132.59 (assume @p84 (forall @t6 (=> @t56 @t93))) % 132.31/132.59 (assume @p85 (exists @t11 (and @t10 @t9))) % 132.31/132.59 (assume @p86 (forall @t11 (=> @t51 (exists @t37 (and @t65 @t84))))) % 132.31/132.59 (assume @p87 (exists @t11 @t10)) % 132.31/132.59 (assume @p88 (exists @t11 @t86)) % 132.31/132.59 (assume @p89 (forall @t11 (exists @t37 (and @t65 @t49)))) % 132.31/132.59 (assume @p90 (exists @t11 @t51)) % 132.31/132.59 (assume @p91 (forall @t6 (=> @t72 (= @t76 @t90)))) % 132.31/132.59 (assume @p92 (forall @t6 (=> @t72 (= @t77 (tptp.set_meet @t2))))) % 132.31/132.59 (assume @p93 (forall @t53 (=> @t80 (= @t78 @t94)))) % 132.31/132.59 (assume @p94 (forall @t6 (tptp.subset @t1 @t1))) % 132.31/132.59 (assume @p95 (forall @t6 (=> @t68 (tptp.disjoint @t2 @t1)))) % 132.31/132.59 (assume @p96 (forall @t92 (not (and (= @t12 (tptp.unordered_pair @t17 @t16)) (not @t95) (not (= @t1 @t16)))))) % 132.31/132.59 (assume @p97 @t98) % 132.31/132.59 (assume @p98 @t101) % 132.31/132.59 (assume @p99 (forall @t6 (=> @t23 (tptp.subset @t35 @t2)))) % 132.31/132.59 (assume @p100 @t104) % 132.31/132.59 (assume @p101 (forall @t53 (=> @t24 (and (tptp.subset @t105 (tptp.cartesian_product2 @t2 @t17)) (tptp.subset (tptp.cartesian_product2 @t17 @t1) (tptp.cartesian_product2 @t17 @t2)))))) % 132.31/132.59 (assume @p102 @t108) % 132.31/132.59 (assume @p103 (forall @t92 (=> (and @t24 (tptp.subset @t17 @t16)) (tptp.subset @t105 (tptp.cartesian_product2 @t2 @t16))))) % 132.31/132.59 (assume @p104 (forall @t6 (=> @t24 (= @t14 @t2)))) % 132.31/132.59 (assume @p105 (forall @t11 (exists @t37 (and @t5 @t113 (forall @t36 (=> @t44 (tptp.in @t112 @t2))) @t111)))) % 132.31/132.59 (assume @p106 (forall @t6 (tptp.subset @t15 @t1))) % 132.31/132.59 (assume @p107 @t118) % 132.31/132.59 (assume @p108 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 132.31/132.59 (assume @p109 (forall @t6 (=> @t5 @t119))) % 132.31/132.59 (assume @p110 (forall @t53 (=> (and @t24 (tptp.subset @t2 @t17)) @t116))) % 132.31/132.59 (assume @p111 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 132.31/132.59 (assume @p112 (forall @t53 (=> @t32 (=> @t121 (and @t120 (tptp.in @t2 @t96)))))) % 132.31/132.59 (assume @p113 (forall @t11 (=> @t9 (tptp.subset @t1 (tptp.cartesian_product2 @t59 @t63))))) % 132.31/132.59 (assume @p114 (forall @t11 (=> @t9 (forall @t37 (=> @t23 (=> @t24 (and (tptp.subset @t59 @t122) (tptp.subset @t63 @t102)))))))) % 132.31/132.59 (assume @p115 (forall @t53 (=> @t24 (tptp.subset (tptp.set_intersection2 @t1 @t17) @t114)))) % 132.31/132.59 (assume @p116 (forall @t6 (=> @t24 (= @t15 @t1)))) % 132.31/132.59 (assume @p117 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 132.31/132.59 (assume @p118 (forall @t6 (=> @t119 (or @t49 @t5)))) % 132.31/132.59 (assume @p119 (forall @t6 (=> (forall @t36 (= @t18 @t44)) @t25))) % 132.31/132.59 (assume @p120 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 132.31/132.59 (assume @p121 (forall @t53 (=> @t32 (=> @t121 (and (tptp.in @t1 @t123) (tptp.in @t2 @t123)))))) % 132.31/132.59 (assume @p122 (forall @t53 (=> @t24 (tptp.subset (tptp.set_difference @t1 @t17) @t94)))) % 132.31/132.59 (assume @p123 (forall @t92 (=> (= @t66 @t19) (and @t95 (= @t2 @t16))))) % 132.31/132.59 (assume @p124 (forall @t6 (tptp.subset @t61 @t1))) % 132.31/132.59 (assume @p125 (forall @t11 (=> @t9 (and (= @t63 (tptp.relation_dom @t67)) (= @t59 (tptp.relation_rng @t67)))))) % 132.31/132.59 (assume @p126 (forall @t53 (= (tptp.subset @t12 @t17) (and @t91 @t124)))) % 132.31/132.59 (assume @p127 (forall @t6 (= @t125 @t14))) % 132.31/132.59 (assume @p128 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 132.31/132.59 (assume @p129 (forall @t6 (= @t93 @t24))) % 132.31/132.59 (assume @p130 (forall @t6 (and (not (and @t127 (forall @t36 (not @t126)))) (not (and (exists @t36 @t126) @t68))))) % 132.31/132.59 (assume @p131 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t40))) % 132.31/132.59 (assume @p132 (forall @t6 (= (tptp.set_difference @t14 @t2) @t61))) % 132.31/132.59 (assume @p133 (forall @t6 (=> @t65 (forall @t36 (=> @t79 (= @t129 (tptp.subset @t2 @t128))))))) % 132.31/132.59 (assume @p134 (forall @t11 (=> @t9 (forall @t37 (=> @t23 (tptp.subset @t130 @t59)))))) % 132.31/132.59 (assume @p135 (forall @t11 (=> @t9 (forall @t37 (=> @t23 (tptp.subset (tptp.relation_rng @t69) @t102)))))) % 132.31/132.59 (assume @p136 (forall @t6 (=> @t24 (= @t2 @t125)))) % 132.31/132.59 (assume @p137 (forall @t11 (=> @t9 (forall @t37 (=> @t23 (=> (tptp.subset @t63 @t122) (= @t130 @t59))))))) % 132.31/132.59 (assume @p138 (forall @t6 (=> @t72 (not (and @t131 (= @t70 tptp.empty_set)))))) % 132.31/132.59 (assume @p139 (forall @t11 (=> @t9 (forall @t37 (=> @t23 (=> (tptp.subset @t59 @t102) (= (tptp.relation_rng @t81) @t63))))))) % 132.31/132.59 (assume @p140 (forall @t6 (=> @t72 (=> @t131 (= (tptp.subset_difference @t1 @t60 @t76) (tptp.meet_of_subsets @t1 @t70)))))) % 132.31/132.59 (assume @p141 (forall @t6 (=> @t72 (=> @t131 (= (tptp.union_of_subsets @t1 @t70) (tptp.subset_difference @t1 @t60 @t77)))))) % 132.31/132.59 (assume @p142 (forall @t6 (= (tptp.set_difference @t1 @t61) @t15))) % 132.31/132.59 (assume @p143 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 132.31/132.59 (assume @p144 (forall @t53 (=> (and @t5 @t132) (tptp.element @t1 @t17)))) % 132.31/132.59 (assume @p145 (forall @t6 (and (not (and @t127 (forall @t36 (not @t133)))) (not (and (exists @t36 @t133) @t68))))) % 132.31/132.59 (assume @p146 (forall @t11 (=> @t45 (forall @t37 (=> @t65 (forall @t36 (=> (tptp.element @t17 @t1) (=> @t109 (tptp.in @t17 @t64))))))))) % 132.31/132.59 (assume @p147 (forall @t53 (=> @t79 (not (and (tptp.in @t2 @t128) @t124))))) % 132.31/132.59 (assume @p148 (forall @t11 (=> @t9 (=> (forall @t33 (not (tptp.in (tptp.ordered_pair @t2 @t17) @t1))) @t40)))) % 132.31/132.59 (assume @p149 (forall @t53 (not (and @t5 @t132 (tptp.empty @t17))))) % 132.31/132.59 (assume @p150 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 132.31/132.59 (assume @p151 (forall @t6 (not (and @t24 @t7)))) % 132.31/132.59 (assume @p152 (forall @t53 (=> (and @t24 @t129) (tptp.disjoint @t1 @t17)))) % 132.31/132.59 (assume @p153 (forall @t11 (=> @t9 (=> (or @t135 @t134) @t40)))) % 132.31/132.59 (assume @p154 (forall @t11 (=> @t9 (= @t135 @t134)))) % 132.31/132.59 (assume @p155 (forall @t6 (= (= (tptp.set_difference @t1 @t89) @t1) @t4))) % 132.31/132.59 (assume @p156 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t46))) % 132.31/132.59 (assume @p157 (forall @t11 (=> @t10 @t40))) % 132.31/132.59 (assume @p158 (forall @t6 (=> (tptp.subset @t46 @t89) @t25))) % 132.31/132.59 (assume @p159 (forall @t11 (and (= (tptp.relation_dom @t22) @t1) (= (tptp.relation_rng @t22) @t1)))) % 132.31/132.59 (assume @p160 (forall @t92 (=> (tptp.relation @t16) (= (tptp.in @t66 (tptp.relation_composition (tptp.identity_relation @t17) @t16)) (and @t91 (tptp.in @t66 @t16)))))) % 132.31/132.59 (assume @p161 (forall @t6 (not (and @t5 @t49)))) % 132.31/132.59 (assume @p162 (forall @t6 (tptp.subset @t1 @t14))) % 132.31/132.59 (assume @p163 (forall @t6 (= @t68 (= @t61 @t1)))) % 132.31/132.59 (assume @p164 (forall @t53 (=> @t32 (= (tptp.in @t1 (tptp.relation_dom (tptp.relation_dom_restriction @t17 @t2))) (and @t5 @t120))))) % 132.31/132.59 (assume @p165 (forall @t6 (=> @t23 (tptp.subset @t136 @t2)))) % 132.31/132.59 (assume @p166 (forall @t6 (not (and @t10 @t73 @t49)))) % 132.31/132.59 (assume @p167 (forall @t53 (=> (and @t24 @t110) (tptp.subset (tptp.set_union2 @t1 @t17) @t2)))) % 132.31/132.59 (assume @p168 (forall @t53 (=> @t137 @t25))) % 132.31/132.59 (assume @p169 (forall @t6 (=> @t23 (= (tptp.relation_dom @t136) (tptp.set_intersection2 @t122 @t1))))) % 132.31/132.59 (assume @p170 (forall @t6 (=> @t23 (= @t136 (tptp.relation_composition @t22 @t2))))) % 132.31/132.59 (assume @p171 (forall @t6 (=> @t23 (tptp.subset (tptp.relation_rng @t136) @t102)))) % 132.31/132.59 (assume @p172 (forall @t11 (= (tptp.union @t47) @t1))) % 132.31/132.59 (assume @p173 (forall @t11 (exists @t37 (and @t5 @t113 (forall @t36 (not (and @t44 (forall @t43 (not (and @t28 (forall (@list @t26) (=> (tptp.subset @t26 @t17) (tptp.in @t26 @t16))))))))) @t111)))) % 132.31/132.59 (assume @p174 (forall @t53 (=> @t137 (= @t2 @t17)))) % 132.31/132.59 (step @p175 :rule evaluate :args ((= true false))) % 132.31/132.59 (step @p176 :rule bool-impl-elim :args (@t18 @t44)) % 132.31/132.59 (step @p177 :rule cong :premises (@p176) :args (@t56)) % 132.31/132.59 (step @p178 :rule refl :args (@t24)) % 132.31/132.59 (step @p179 :rule cong :premises (@p178 @p177) :args (@t57)) % 132.31/132.59 (step @p180 :rule cong :premises (@p179) :args (@t58)) % 132.31/132.59 (step @p181 :rule eq_resolve :premises (@p22 @p180)) % 132.31/132.59 (step @p182 :rule instantiate :premises (@p181) :args ((@list @t142 @t140))) % 132.31/132.59 (step @p183 :rule instantiate :premises (@p106) :args (@t143)) % 132.31/132.59 (step @p184 :rule cnf_equiv_pos1 :args (@t146)) % 132.31/132.59 (step @p185 :rule reordering :premises (@p184) :args ((or (not @t145) @t144 (not @t146)))) % 132.31/132.59 (step @p186 :rule chain_m_resolution :premises (@p185 @p183 @p182) :args (@t144 @t147 (@list @t145 @t146))) % 132.31/132.59 (step @p187 :rule instantiate :premises (@p186) :args (@t153)) % 132.31/132.59 (step @p188 :rule instantiate :premises (@p181) :args ((@list @t149 @t141))) % 132.31/132.59 (step @p189 :rule instantiate :premises (@p106) :args ((@list @t141 @t140))) % 132.31/132.59 (step @p190 :rule cnf_equiv_pos1 :args (@t156)) % 132.31/132.59 (step @p191 :rule reordering :premises (@p190) :args ((or (not @t155) @t154 (not @t156)))) % 132.31/132.59 (step @p192 :rule chain_m_resolution :premises (@p191 @p189 @p188) :args (@t154 @t147 (@list @t155 @t156))) % 132.31/132.59 (step @p193 :rule instantiate :premises (@p192) :args (@t153)) % 132.31/132.59 (step @p194 :rule instantiate :premises (@p181) :args ((@list @t149 @t148))) % 132.31/132.59 (step @p195 :rule instantiate :premises (@p8) :args ((@list @t148 @t149))) % 132.31/132.59 (step @p196 :rule bool-impl-elim :args (@t23 @t106)) % 132.31/132.59 (step @p197 :rule cong :premises (@p196) :args (@t107)) % 132.31/132.59 (step @p198 :rule cong :premises (@p197) :args (@t108)) % 132.31/132.59 (step @p199 :rule eq_resolve :premises (@p102 @p198)) % 132.31/132.59 (step @p200 :rule skolemize :premises (@p199)) % 132.31/132.59 (step @p201 :rule cnf_or_neg :args (@t160 1)) % 132.31/132.59 (step @p202 :rule chain_m_resolution :premises (@p201 @p200) :args ((not @t157) @t161 @t162)) % 132.31/132.59 (step @p203 :rule false_intro :premises (@p202)) % 132.31/132.59 (step @p204 :rule instantiate :premises (@p6) :args (@t143)) % 132.31/132.59 (step @p205 :rule symm :premises (@p204)) % 132.31/132.59 (step @p206 :rule refl :args (@t148)) % 132.31/132.59 (step @p207 :rule cong :premises (@p206 @p205) :args (@t163)) % 132.31/132.59 (step @p208 :rule trans :premises (@p207 @p203)) % 132.31/132.59 (step @p209 :rule false_elim :premises (@p208)) % 132.31/132.59 (step @p210 :rule cnf_equiv_pos2 :args (@t167)) % 132.31/132.59 (step @p211 :rule reordering :premises (@p210) :args ((or @t163 @t168 (not @t167)))) % 132.31/132.59 (step @p212 :rule chain_m_resolution :premises (@p211 @p209 @p195) :args (@t168 @t169 (@list @t163 @t167))) % 132.31/132.59 (step @p213 :rule aci_norm :args ((= (or (or @t171 @t170) @t115) (or @t171 @t170 @t115)))) % 132.31/132.59 (step @p214 :rule refl :args (@t115)) % 132.31/132.59 (step @p215 :rule bool-and-de-morgan :args (@t24 @t116 true)) % 132.31/132.59 (step @p216 :rule nary_cong :premises (@p215 @p214) :args ((or (not @t117) @t115))) % 132.31/132.59 (step @p217 :rule trans :premises (@p216 @p213)) % 132.31/132.59 (step @p218 :rule bool-impl-elim :args (@t117 @t115)) % 132.31/132.59 (step @p219 :rule trans :premises (@p218 @p217)) % 132.31/132.59 (step @p220 :rule cong :premises (@p219) :args (@t118)) % 132.31/132.59 (step @p221 :rule eq_resolve :premises (@p107 @p220)) % 132.31/132.59 (step @p222 :rule instantiate :premises (@p221) :args ((@list @t148 @t141 @t140))) % 132.31/132.59 (step @p223 :rule bool-impl-elim :args (@t23 @t103)) % 132.31/132.59 (step @p224 :rule cong :premises (@p223) :args (@t104)) % 132.31/132.59 (step @p225 :rule eq_resolve :premises (@p100 @p224)) % 132.31/132.59 (step @p226 :rule instantiate :premises (@p225) :args (@t172)) % 132.31/132.59 (step @p227 :rule bool-double-not-elim :args (@t158)) % 132.31/132.59 (step @p228 :rule refl :args (@t160)) % 132.31/132.59 (step @p229 :rule nary_cong :premises (@p228 @p227) :args ((or @t160 (not @t159)))) % 132.31/132.59 (step @p230 :rule cnf_or_neg :args (@t160 0)) % 132.31/132.59 (step @p231 :rule eq_resolve :premises (@p230 @p229)) % 132.31/132.59 (step @p232 :rule reordering :premises (@p231) :args ((or @t158 @t160))) % 132.31/132.59 (step @p233 :rule chain_m_resolution :premises (@p232 @p200) :args (@t158 @t161 @t162)) % 132.31/132.59 (step @p234 :rule cnf_or_pos :args (@t174)) % 132.31/132.59 (step @p235 :rule reordering :premises (@p234) :args ((or @t159 @t173 (not @t174)))) % 132.31/132.59 (step @p236 :rule chain_m_resolution :premises (@p235 @p233 @p226) :args (@t173 @t147 (@list @t158 @t174))) % 132.31/132.59 (step @p237 :rule bool-impl-elim :args (@t23 @t100)) % 132.31/132.59 (step @p238 :rule cong :premises (@p237) :args (@t101)) % 132.31/132.59 (step @p239 :rule eq_resolve :premises (@p98 @p238)) % 132.31/132.59 (step @p240 :rule instantiate :premises (@p239) :args (@t172)) % 132.31/132.59 (step @p241 :rule cnf_or_pos :args (@t176)) % 132.31/132.59 (step @p242 :rule reordering :premises (@p241) :args ((or @t159 @t175 (not @t176)))) % 132.31/132.59 (step @p243 :rule chain_m_resolution :premises (@p242 @p233 @p240) :args (@t175 @t147 (@list @t158 @t176))) % 132.31/132.59 (step @p244 :rule cnf_or_pos :args (@t179)) % 132.31/132.59 (step @p245 :rule reordering :premises (@p244) :args ((or @t178 @t177 @t165 (not @t179)))) % 132.31/132.59 (step @p246 :rule chain_m_resolution :premises (@p245 @p243 @p236 @p222) :args (@t165 (@list false false false) (@list @t175 @t173 @t179))) % 127.86/132.60 (step @p247 :rule cnf_and_neg :args (@t166)) % 127.86/132.60 (step @p248 :rule reordering :premises (@p247) :args ((or (not @t165) @t166 @t180))) % 127.86/132.60 (step @p249 :rule chain_m_resolution :premises (@p248 @p246 @p212) :args (@t180 (@list false true) (@list @t165 @t166))) % 127.86/132.60 (step @p250 :rule cnf_equiv_pos2 :args (@t181)) % 127.86/132.60 (step @p251 :rule reordering :premises (@p250) :args ((or @t164 @t182 (not @t181)))) % 127.86/132.60 (step @p252 :rule chain_m_resolution :premises (@p251 @p249 @p194) :args (@t182 @t169 (@list @t164 @t181))) % 127.86/132.60 (step @p253 :rule skolemize :premises (@p252)) % 127.86/132.60 (step @p254 :rule bool-double-not-elim :args (@t183)) % 127.86/132.60 (step @p255 :rule refl :args (@t186)) % 127.86/132.60 (step @p256 :rule nary_cong :premises (@p255 @p254) :args ((or @t186 (not @t185)))) % 127.86/132.60 (step @p257 :rule cnf_or_neg :args (@t186 0)) % 127.86/132.60 (step @p258 :rule eq_resolve :premises (@p257 @p256)) % 127.86/132.60 (step @p259 :rule reordering :premises (@p258) :args ((or @t183 @t186))) % 127.86/132.60 (step @p260 :rule chain_m_resolution :premises (@p259 @p253) :args (@t183 @t161 @t187)) % 127.86/132.60 (step @p261 :rule cnf_or_pos :args (@t189)) % 127.86/132.60 (step @p262 :rule reordering :premises (@p261) :args ((or @t185 @t188 (not @t189)))) % 127.86/132.60 (step @p263 :rule chain_m_resolution :premises (@p262 @p260 @p193) :args (@t188 @t147 (@list @t183 @t189))) % 127.86/132.60 (step @p264 :rule bool-impl-elim :args (@t32 @t97)) % 127.86/132.60 (step @p265 :rule cong :premises (@p264) :args (@t98)) % 127.86/132.60 (step @p266 :rule eq_resolve :premises (@p97 @p265)) % 127.86/132.60 (step @p267 :rule instantiate :premises (@p266) :args ((@list @t152 @t141 @t139))) % 127.86/132.60 (step @p268 :rule cnf_or_pos :args (@t193)) % 127.86/132.60 (step @p269 :rule reordering :premises (@p268) :args ((or @t159 @t192 (not @t193)))) % 127.86/132.60 (step @p270 :rule chain_m_resolution :premises (@p269 @p233 @p267) :args (@t192 @t147 (@list @t158 @t193))) % 127.86/132.60 (step @p271 :rule cnf_or_neg :args (@t186 1)) % 127.86/132.60 (step @p272 :rule chain_m_resolution :premises (@p271 @p253) :args ((not @t184) @t161 @t187)) % 127.86/132.60 (step @p273 :rule cnf_equiv_pos2 :args (@t192)) % 127.86/132.60 (step @p274 :rule reordering :premises (@p273) :args ((or @t184 @t194 (not @t192)))) % 127.86/132.60 (step @p275 :rule chain_m_resolution :premises (@p274 @p272 @p270) :args (@t194 @t169 (@list @t184 @t192))) % 127.86/132.60 (step @p276 :rule cnf_and_neg :args (@t191)) % 127.86/132.60 (step @p277 :rule chain_m_resolution :premises (@p276 @p275 @p263) :args ((not @t190) @t169 (@list @t191 @t188))) % 127.86/132.60 (step @p278 :rule cnf_or_pos :args (@t196)) % 127.86/132.60 (step @p279 :rule reordering :premises (@p278) :args ((or @t190 @t195 (not @t196)))) % 127.86/132.60 (step @p280 :rule chain_m_resolution :premises (@p279 @p277 @p187) :args (@t195 @t169 (@list @t190 @t196))) % 127.86/132.60 (step @p281 :rule false_intro :premises (@p280)) % 127.86/132.60 (step @p282 :rule refl :args (@t152)) % 127.86/132.60 (step @p283 :rule cong :premises (@p282 @p205) :args (@t183)) % 127.86/132.60 (step @p284 :rule true_intro :premises (@p260)) % 127.86/132.60 (step @p285 :rule symm :premises (@p284)) % 127.86/132.60 (step @p286 :rule trans :premises (@p285 @p283 @p281)) % 127.86/132.60 (step @p287 false :rule eq_resolve :premises (@p286 @p175)) % 127.86/132.60 ) % 127.86/132.60 % SZS output end Proof % 127.86/132.60 % cvc5 exiting %------------------------------------------------------------------------------