%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU204+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 0.94s 1.15s % Output : Proof 0.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU204+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n009.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:38:14 EDT 2026 % 0.17/0.35 % CPUTime : % 0.26/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.94/1.15 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.94/1.15 % SZS status Theorem % 0.94/1.15 % SZS output start Proof % 0.94/1.15 ( % 0.94/1.15 (declare-sort $$unsorted 0) % 0.94/1.15 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.empty_set $$unsorted) % 0.94/1.15 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.94/1.15 (define @t1 () (@var "A" $$unsorted)) % 0.94/1.15 (define @t2 () (@var "B" $$unsorted)) % 0.94/1.15 (define @t3 () (tptp.in @t2 @t1)) % 0.94/1.15 (define @t4 () (not @t3)) % 0.94/1.15 (define @t5 () (tptp.in @t1 @t2)) % 0.94/1.15 (define @t6 () (@list @t1 @t2)) % 0.94/1.15 (define @t7 () (tptp.proper_subset @t2 @t1)) % 0.94/1.15 (define @t8 () (tptp.proper_subset @t1 @t2)) % 0.94/1.15 (define @t9 () (tptp.relation @t1)) % 0.94/1.15 (define @t10 () (tptp.empty @t1)) % 0.94/1.15 (define @t11 () (@list @t1)) % 0.94/1.15 (define @t12 () (tptp.unordered_pair @t1 @t2)) % 0.94/1.15 (define @t13 () (tptp.set_union2 @t2 @t1)) % 0.94/1.15 (define @t14 () (tptp.set_union2 @t1 @t2)) % 0.94/1.15 (define @t15 () (tptp.set_intersection2 @t1 @t2)) % 0.94/1.15 (define @t16 () (@var "D" $$unsorted)) % 0.94/1.15 (define @t17 () (@var "C" $$unsorted)) % 0.94/1.15 (define @t18 () (tptp.in @t17 @t1)) % 0.94/1.15 (define @t19 () (tptp.ordered_pair @t17 @t16)) % 0.94/1.15 (define @t20 () (tptp.in @t19 @t2)) % 0.94/1.15 (define @t21 () (@list @t17 @t16)) % 0.94/1.15 (define @t22 () (tptp.identity_relation @t1)) % 0.94/1.15 (define @t23 () (tptp.relation @t2)) % 0.94/1.15 (define @t24 () (tptp.subset @t1 @t2)) % 0.94/1.15 (define @t25 () (= @t1 @t2)) % 0.94/1.15 (define @t26 () (@var "E" $$unsorted)) % 0.94/1.15 (define @t27 () (tptp.ordered_pair @t16 @t26)) % 0.94/1.15 (define @t28 () (tptp.in @t16 @t2)) % 0.94/1.15 (define @t29 () (tptp.in @t27 @t17)) % 0.94/1.15 (define @t30 () (@list @t16 @t26)) % 0.94/1.15 (define @t31 () (tptp.relation_dom_restriction @t1 @t2)) % 0.94/1.15 (define @t32 () (tptp.relation @t17)) % 0.94/1.15 (define @t33 () (@list @t2 @t17)) % 0.94/1.15 (define @t34 () (tptp.in @t26 @t1)) % 0.94/1.15 (define @t35 () (tptp.relation_rng_restriction @t1 @t2)) % 0.94/1.15 (define @t36 () (@list @t17)) % 0.94/1.15 (define @t37 () (@list @t26)) % 0.94/1.15 (define @t38 () (tptp.in @t16 @t17)) % 0.94/1.15 (define @t39 () (@list @t16)) % 0.94/1.15 (define @t40 () (@list @t2)) % 0.94/1.15 (define @t41 () (= @t2 tptp.empty_set)) % 0.94/1.15 (define @t42 () (= @t2 (tptp.set_meet @t1))) % 0.94/1.15 (define @t43 () (= @t1 tptp.empty_set)) % 0.94/1.15 (define @t44 () (tptp.in @t17 @t16)) % 0.94/1.15 (define @t45 () (tptp.in @t16 @t1)) % 0.94/1.15 (define @t46 () (tptp.in @t17 @t2)) % 0.94/1.15 (define @t47 () (not @t43)) % 0.94/1.15 (define @t48 () (tptp.singleton @t1)) % 0.94/1.15 (define @t49 () (tptp.powerset @t1)) % 0.94/1.15 (define @t50 () (tptp.in @t19 @t1)) % 0.94/1.15 (define @t51 () (tptp.empty @t2)) % 0.94/1.15 (define @t52 () (tptp.element @t2 @t1)) % 0.94/1.15 (define @t53 () (not @t10)) % 0.94/1.15 (define @t54 () (@list @t1 @t2 @t17)) % 0.94/1.15 (define @t55 () (@var "F" $$unsorted)) % 0.94/1.15 (define @t56 () (tptp.cartesian_product2 @t1 @t2)) % 0.94/1.15 (define @t57 () (forall @t36 (=> @t18 @t46))) % 0.94/1.15 (define @t58 () (= @t24 @t57)) % 0.94/1.15 (define @t59 () (forall @t6 @t58)) % 0.94/1.15 (define @t60 () (tptp.relation_dom @t1)) % 0.94/1.15 (define @t61 () (tptp.cast_to_subset @t1)) % 0.94/1.15 (define @t62 () (not @t28)) % 0.94/1.15 (define @t63 () (tptp.set_difference @t1 @t2)) % 0.94/1.15 (define @t64 () (tptp.in (tptp.ordered_pair @t16 @t17) @t1)) % 0.94/1.15 (define @t65 () (tptp.relation_rng @t1)) % 0.94/1.15 (define @t66 () (tptp.subset_complement @t1 @t2)) % 0.94/1.15 (define @t67 () (tptp.element @t2 @t49)) % 0.94/1.15 (define @t68 () (tptp.ordered_pair @t1 @t2)) % 0.94/1.15 (define @t69 () (tptp.relation_inverse @t1)) % 0.94/1.15 (define @t70 () (tptp.disjoint @t1 @t2)) % 0.94/1.15 (define @t71 () (tptp.relation_composition @t1 @t2)) % 0.94/1.15 (define @t72 () (tptp.complements_of_subsets @t1 @t2)) % 0.94/1.15 (define @t73 () (tptp.powerset @t49)) % 0.94/1.15 (define @t74 () (tptp.element @t2 @t73)) % 0.94/1.15 (define @t75 () (not @t25)) % 0.94/1.15 (define @t76 () (tptp.relation @t71)) % 0.94/1.15 (define @t77 () (and @t9 @t23)) % 0.94/1.15 (define @t78 () (tptp.union_of_subsets @t1 @t2)) % 0.94/1.15 (define @t79 () (tptp.meet_of_subsets @t1 @t2)) % 0.94/1.15 (define @t80 () (tptp.subset_difference @t1 @t2 @t17)) % 0.94/1.15 (define @t81 () (tptp.element @t17 @t49)) % 0.94/1.15 (define @t82 () (and @t67 @t81)) % 0.94/1.15 (define @t83 () (tptp.relation_composition @t2 @t1)) % 0.94/1.15 (define @t84 () (and @t10 @t23)) % 0.94/1.15 (define @t85 () (tptp.empty tptp.empty_set)) % 0.94/1.15 (define @t86 () (not @t51)) % 0.94/1.15 (define @t87 () (tptp.empty @t60)) % 0.94/1.15 (define @t88 () (and @t53 @t9)) % 0.94/1.15 (define @t89 () (tptp.empty @t65)) % 0.94/1.15 (define @t90 () (tptp.disjoint @t48 @t2)) % 0.94/1.15 (define @t91 () (tptp.singleton @t2)) % 0.94/1.15 (define @t92 () (tptp.union @t2)) % 0.94/1.15 (define @t93 () (tptp.in @t1 @t17)) % 0.94/1.15 (define @t94 () (@list @t1 @t2 @t17 @t16)) % 0.94/1.15 (define @t95 () (tptp.element @t1 (tptp.powerset @t2))) % 0.94/1.15 (define @t96 () (tptp.set_difference @t2 @t17)) % 0.94/1.15 (define @t97 () (= @t1 @t17)) % 0.94/1.15 (define @t98 () (tptp.relation_rng @t17)) % 0.94/1.15 (define @t99 () (tptp.relation_rng @t35)) % 0.94/1.15 (define @t100 () (tptp.relation_rng @t2)) % 0.94/1.15 (define @t101 () (tptp.cartesian_product2 @t1 @t17)) % 0.94/1.15 (define @t102 () (not @t46)) % 0.94/1.15 (define @t103 () (tptp.subset @t17 @t2)) % 0.94/1.15 (define @t104 () (forall @t36 (not (and @t103 (not (tptp.are_equipotent @t17 @t2)) @t102)))) % 0.94/1.15 (define @t105 () (tptp.powerset @t17)) % 0.94/1.15 (define @t106 () (forall @t21 (=> (and @t46 (tptp.subset @t16 @t17)) @t28))) % 0.94/1.15 (define @t107 () (tptp.relation_dom_restriction @t17 @t2)) % 0.94/1.15 (define @t108 () (tptp.in (tptp.ordered_pair @t16 @t1) @t17)) % 0.94/1.15 (define @t109 () (tptp.relation_dom @t17)) % 0.94/1.15 (define @t110 () (tptp.in @t16 @t109)) % 0.94/1.15 (define @t111 () (and @t110 @t108 @t28)) % 0.94/1.15 (define @t112 () (exists @t39 @t111)) % 0.94/1.15 (define @t113 () (tptp.in @t1 (tptp.relation_image @t17 @t2))) % 0.94/1.15 (define @t114 () (= @t113 @t112)) % 0.94/1.15 (define @t115 () (=> @t32 @t114)) % 0.94/1.15 (define @t116 () (forall @t54 @t115)) % 0.94/1.15 (define @t117 () (tptp.subset (tptp.relation_image @t2 @t1) @t100)) % 0.94/1.15 (define @t118 () (forall @t6 (=> @t23 @t117))) % 0.94/1.15 (define @t119 () (not @t118)) % 0.94/1.15 (define @t120 () (tptp.set_intersection2 @t2 @t17)) % 0.94/1.15 (define @t121 () (tptp.subset @t1 @t17)) % 0.94/1.15 (define @t122 () (tptp.element @t1 @t2)) % 0.94/1.15 (define @t123 () (tptp.in @t1 @t109)) % 0.94/1.15 (define @t124 () (and @t123 (tptp.in @t2 @t98))) % 0.94/1.15 (define @t125 () (tptp.in @t68 @t17)) % 0.94/1.15 (define @t126 () (=> @t125 @t124)) % 0.94/1.15 (define @t127 () (forall @t54 (=> @t32 @t126))) % 0.94/1.15 (define @t128 () (tptp.relation_dom @t2)) % 0.94/1.15 (define @t129 () (tptp.relation_field @t17)) % 0.94/1.15 (define @t130 () (tptp.in @t2 @t17)) % 0.94/1.15 (define @t131 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.94/1.15 (define @t132 () (and @t18 @t46)) % 0.94/1.15 (define @t133 () (not @t70)) % 0.94/1.15 (define @t134 () (tptp.subset_complement @t1 @t17)) % 0.94/1.15 (define @t135 () (tptp.disjoint @t2 @t17)) % 0.94/1.15 (define @t136 () (tptp.relation_dom @t71)) % 0.94/1.15 (define @t137 () (not @t41)) % 0.94/1.15 (define @t138 () (tptp.element @t2 @t105)) % 0.94/1.15 (define @t139 () (tptp.in @t17 @t15)) % 0.94/1.15 (define @t140 () (= @t65 tptp.empty_set)) % 0.94/1.15 (define @t141 () (= @t60 tptp.empty_set)) % 0.94/1.15 (define @t142 () (tptp.relation_dom_restriction @t2 @t1)) % 0.94/1.15 (define @t143 () (= @t48 (tptp.unordered_pair @t2 @t17))) % 0.94/1.15 (define @t144 () (forall @t6 (or (not @t23) @t117))) % 0.94/1.15 (define @t145 () (@quantifiers_skolemize @t144 1)) % 0.94/1.15 (define @t146 () (tptp.relation @t145)) % 0.94/1.15 (define @t147 () (tptp.relation_rng @t145)) % 0.94/1.15 (define @t148 () (@quantifiers_skolemize @t144 0)) % 0.94/1.15 (define @t149 () (tptp.relation_image @t145 @t148)) % 0.94/1.15 (define @t150 () (tptp.subset @t149 @t147)) % 0.94/1.15 (define @t151 () (not @t146)) % 0.94/1.15 (define @t152 () (or @t151 @t150)) % 0.94/1.15 (define @t153 () (@list true)) % 0.94/1.15 (define @t154 () (@list @t152)) % 0.94/1.15 (define @t155 () (not @t108)) % 0.94/1.15 (define @t156 () (not @t110)) % 0.94/1.15 (define @t157 () (or @t156 @t155 @t62)) % 0.94/1.15 (define @t158 () (= @t113 (not (forall @t39 @t157)))) % 0.94/1.15 (define @t159 () (forall @t39 (not @t111))) % 0.94/1.15 (define @t160 () (not @t159)) % 0.94/1.15 (define @t161 () (forall @t36 (or (not (tptp.in @t17 @t149)) (tptp.in @t17 @t147)))) % 0.94/1.15 (define @t162 () (@quantifiers_skolemize @t161 0)) % 0.94/1.15 (define @t163 () (tptp.relation_dom @t145)) % 0.94/1.15 (define @t164 () (forall @t39 (or (not (tptp.in @t16 @t163)) (not (tptp.in (tptp.ordered_pair @t16 @t162) @t145)) (not (tptp.in @t16 @t148))))) % 0.94/1.15 (define @t165 () (not @t164)) % 0.94/1.15 (define @t166 () (tptp.in @t162 @t149)) % 0.94/1.15 (define @t167 () (= @t166 @t165)) % 0.94/1.15 (define @t168 () (or @t151 @t167)) % 0.94/1.15 (define @t169 () (@list false false)) % 0.94/1.15 (define @t170 () (= @t150 @t161)) % 0.94/1.15 (define @t171 () (not @t161)) % 0.94/1.15 (define @t172 () (tptp.in @t162 @t147)) % 0.94/1.15 (define @t173 () (not @t166)) % 0.94/1.15 (define @t174 () (or @t173 @t172)) % 0.94/1.15 (define @t175 () (@list @t174)) % 0.94/1.15 (define @t176 () (@quantifiers_skolemize @t164 0)) % 0.94/1.15 (define @t177 () (tptp.in (tptp.ordered_pair @t176 @t162) @t145)) % 0.94/1.15 (define @t178 () (not @t177)) % 0.94/1.15 (define @t179 () (tptp.in @t176 @t163)) % 0.94/1.15 (define @t180 () (or (not @t179) @t178 (not (tptp.in @t176 @t148)))) % 0.94/1.15 (define @t181 () (and @t179 @t172)) % 0.94/1.15 (define @t182 () (not @t181)) % 0.94/1.15 (define @t183 () (not @t125)) % 0.94/1.15 (define @t184 () (not @t32)) % 0.94/1.15 (define @t185 () (or @t151 @t178 @t181)) % 0.94/1.15 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.94/1.15 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 0.94/1.15 (assume @p3 (forall @t11 (=> @t10 @t9))) % 0.94/1.15 (assume @p4 (forall @t6 (= @t12 (tptp.unordered_pair @t2 @t1)))) % 0.94/1.15 (assume @p5 (forall @t6 (= @t14 @t13))) % 0.94/1.15 (assume @p6 (forall @t6 (= @t15 (tptp.set_intersection2 @t2 @t1)))) % 0.94/1.15 (assume @p7 (forall @t6 (=> @t23 (= (= @t2 @t22) (forall @t21 (= @t20 (and @t18 (= @t17 @t16)))))))) % 0.94/1.15 (assume @p8 (forall @t6 (= @t25 (and @t24 (tptp.subset @t2 @t1))))) % 0.94/1.15 (assume @p9 (forall @t11 (=> @t9 (forall @t33 (=> @t32 (= (= @t17 @t31) (forall @t30 (= @t29 (and @t28 (tptp.in @t27 @t1)))))))))) % 0.94/1.15 (assume @p10 (forall @t6 (=> @t23 (forall @t36 (=> @t32 (= (= @t17 @t35) (forall @t30 (= @t29 (and @t34 (tptp.in @t27 @t2)))))))))) % 0.94/1.15 (assume @p11 (forall @t11 (=> @t9 (forall @t33 (= (= @t17 (tptp.relation_image @t1 @t2)) (forall @t39 (= @t38 (exists @t37 (and (tptp.in (tptp.ordered_pair @t26 @t16) @t1) (tptp.in @t26 @t2)))))))))) % 0.94/1.15 (assume @p12 (forall @t11 (= @t9 (forall @t40 (not (and @t3 (forall @t21 (not (= @t2 @t19))))))))) % 0.94/1.15 (assume @p13 (forall @t6 (and (=> @t47 (= @t42 (forall @t36 (= @t46 (forall @t39 (=> @t45 @t44)))))) (=> @t43 (= @t42 @t41))))) % 0.94/1.15 (assume @p14 (forall @t6 (= (= @t2 @t48) (forall @t36 (= @t46 (= @t17 @t1)))))) % 0.94/1.15 (assume @p15 (forall @t11 (= @t43 (forall @t40 @t4)))) % 0.94/1.15 (assume @p16 (forall @t6 (= (= @t2 @t49) (forall @t36 (= @t46 (tptp.subset @t17 @t1)))))) % 0.94/1.15 (assume @p17 (forall @t11 (=> @t9 (forall @t40 (=> @t23 (= @t25 (forall @t21 (= @t50 @t20)))))))) % 0.94/1.15 (assume @p18 (forall @t6 (and (=> @t53 (= @t52 @t3)) (=> @t10 (= @t52 @t51))))) % 0.94/1.15 (assume @p19 (forall @t54 (= (= @t17 @t12) (forall @t39 (= @t38 (or (= @t16 @t1) (= @t16 @t2))))))) % 0.94/1.15 (assume @p20 (forall @t54 (= (= @t17 @t14) (forall @t39 (= @t38 (or @t45 @t28)))))) % 0.94/1.15 (assume @p21 (forall @t54 (= (= @t17 @t56) (forall @t39 (= @t38 (exists (@list @t26 @t55) (and @t34 (tptp.in @t55 @t2) (= @t16 (tptp.ordered_pair @t26 @t55))))))))) % 0.94/1.15 (assume @p22 (forall @t11 (=> @t9 (forall @t40 (=> @t23 (= @t24 (forall @t21 (=> @t50 @t20)))))))) % 0.94/1.15 (assume @p23 @t59) % 0.94/1.15 (assume @p24 (forall @t54 (= (= @t17 @t15) (forall @t39 (= @t38 (and @t45 @t28)))))) % 0.94/1.15 (assume @p25 (forall @t11 (=> @t9 (forall @t40 (= (= @t2 @t60) (forall @t36 (= @t46 (exists @t39 @t50)))))))) % 0.94/1.15 (assume @p26 (forall @t11 (= @t61 @t1))) % 0.94/1.15 (assume @p27 (forall @t6 (= (= @t2 (tptp.union @t1)) (forall @t36 (= @t46 (exists @t39 (and @t44 @t45))))))) % 0.94/1.15 (assume @p28 (forall @t54 (= (= @t17 @t63) (forall @t39 (= @t38 (and @t45 @t62)))))) % 0.94/1.15 (assume @p29 (forall @t11 (=> @t9 (forall @t40 (= (= @t2 @t65) (forall @t36 (= @t46 (exists @t39 @t64)))))))) % 0.94/1.15 (assume @p30 (forall @t6 (=> @t67 (= @t66 @t63)))) % 0.94/1.15 (assume @p31 (forall @t6 (= @t68 (tptp.unordered_pair @t12 @t48)))) % 0.94/1.15 (assume @p32 (forall @t11 (=> @t9 (= (tptp.relation_field @t1) (tptp.set_union2 @t60 @t65))))) % 0.94/1.15 (assume @p33 (forall @t11 (=> @t9 (forall @t40 (=> @t23 (= (= @t2 @t69) (forall @t21 (= @t20 @t64)))))))) % 0.94/1.15 (assume @p34 (forall @t6 (= @t70 (= @t15 tptp.empty_set)))) % 0.94/1.15 (assume @p35 (forall @t11 (=> @t9 (forall @t40 (=> @t23 (forall @t36 (=> @t32 (= (= @t17 @t71) (forall @t30 (= @t29 (exists (@list @t55) (and (tptp.in (tptp.ordered_pair @t16 @t55) @t1) (tptp.in (tptp.ordered_pair @t55 @t26) @t2))))))))))))) % 0.94/1.15 (assume @p36 (forall @t6 (=> @t74 (forall @t36 (=> (tptp.element @t17 @t73) (= (= @t17 @t72) (forall @t39 (=> (tptp.element @t16 @t49) (= @t38 (tptp.in (tptp.subset_complement @t1 @t16) @t2)))))))))) % 0.94/1.15 (assume @p37 (forall @t6 (= @t8 (and @t24 @t75)))) % 0.94/1.15 (assume @p38 true) % 0.94/1.15 (assume @p39 (forall @t11 (tptp.element @t61 @t49))) % 0.94/1.15 (assume @p40 (forall @t6 (=> @t67 (tptp.element @t66 @t49)))) % 0.94/1.15 (assume @p41 (forall @t11 (=> @t9 (tptp.relation @t69)))) % 0.94/1.15 (assume @p42 (forall @t6 (=> @t77 @t76))) % 0.94/1.15 (assume @p43 (forall @t6 (=> @t74 (tptp.element @t78 @t49)))) % 0.94/1.15 (assume @p44 (forall @t11 (tptp.relation @t22))) % 0.94/1.15 (assume @p45 (forall @t6 (=> @t74 (tptp.element @t79 @t49)))) % 0.94/1.15 (assume @p46 (forall @t54 (=> @t82 (tptp.element @t80 @t49)))) % 0.94/1.15 (assume @p47 (forall @t6 (=> @t9 (tptp.relation @t31)))) % 0.94/1.15 (assume @p48 (forall @t6 (=> @t74 (tptp.element @t72 @t73)))) % 0.94/1.15 (assume @p49 (forall @t6 (=> @t23 (tptp.relation @t35)))) % 0.94/1.15 (assume @p50 (forall @t11 (exists @t40 @t52))) % 0.94/1.15 (assume @p51 (forall @t6 (=> @t84 (and (tptp.empty @t83) (tptp.relation @t83))))) % 0.94/1.15 (assume @p52 (forall @t6 (=> @t77 (tptp.relation @t15)))) % 0.94/1.15 (assume @p53 (forall @t11 (not (tptp.empty @t49)))) % 0.94/1.15 (assume @p54 @t85) % 0.94/1.15 (assume @p55 (forall @t6 (not (tptp.empty @t68)))) % 0.94/1.15 (assume @p56 (forall @t6 (=> @t77 (tptp.relation @t14)))) % 0.94/1.15 (assume @p57 (forall @t11 (not (tptp.empty @t48)))) % 0.94/1.15 (assume @p58 (forall @t6 (=> @t53 (not (tptp.empty @t14))))) % 0.94/1.15 (assume @p59 (forall @t6 (not (tptp.empty @t12)))) % 0.94/1.15 (assume @p60 (forall @t6 (=> @t53 (not (tptp.empty @t13))))) % 0.94/1.15 (assume @p61 (and @t85 (tptp.relation tptp.empty_set))) % 0.94/1.15 (assume @p62 (forall @t6 (=> (and @t53 @t86) (not (tptp.empty @t56))))) % 0.94/1.15 (assume @p63 (forall @t11 (=> @t88 (not @t87)))) % 0.94/1.15 (assume @p64 (forall @t11 (=> @t88 (not @t89)))) % 0.94/1.15 (assume @p65 (forall @t11 (=> @t10 (and @t87 (tptp.relation @t60))))) % 0.94/1.15 (assume @p66 (forall @t11 (=> @t10 (and @t89 (tptp.relation @t65))))) % 0.94/1.15 (assume @p67 (forall @t6 (=> @t84 (and (tptp.empty @t71) @t76)))) % 0.94/1.15 (assume @p68 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.94/1.15 (assume @p69 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.94/1.15 (assume @p70 (forall @t6 (=> @t67 (= (tptp.subset_complement @t1 @t66) @t2)))) % 0.94/1.15 (assume @p71 (forall @t11 (=> @t9 (= (tptp.relation_inverse @t69) @t1)))) % 0.94/1.15 (assume @p72 (forall @t6 (=> @t74 (= (tptp.complements_of_subsets @t1 @t72) @t2)))) % 0.94/1.15 (assume @p73 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 0.94/1.15 (assume @p74 (forall @t11 (not (= @t48 tptp.empty_set)))) % 0.94/1.15 (assume @p75 (forall @t6 (=> @t5 (= (tptp.set_union2 @t48 @t2) @t2)))) % 0.94/1.15 (assume @p76 (forall @t6 (not (and @t90 @t5)))) % 0.94/1.15 (assume @p77 (forall @t6 (=> (not @t5) @t90))) % 0.94/1.15 (assume @p78 (forall @t6 (= (tptp.subset @t48 @t2) @t5))) % 0.94/1.15 (assume @p79 (forall @t6 (= (= @t63 tptp.empty_set) @t24))) % 0.94/1.15 (assume @p80 (forall @t6 (=> @t67 (forall @t36 (=> @t46 @t18))))) % 0.94/1.15 (assume @p81 (forall @t54 (=> @t24 (or @t18 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t17))))))) % 0.94/1.15 (assume @p82 (forall @t6 (= (tptp.subset @t1 @t91) (or @t43 (= @t1 @t91))))) % 0.94/1.15 (assume @p83 (forall @t6 (=> @t5 (tptp.subset @t1 @t92)))) % 0.94/1.15 (assume @p84 (forall @t94 (= (tptp.in @t68 (tptp.cartesian_product2 @t17 @t16)) (and @t93 (tptp.in @t2 @t16))))) % 0.94/1.15 (assume @p85 (forall @t6 (=> @t57 @t95))) % 0.94/1.15 (assume @p86 (exists @t11 (and @t10 @t9))) % 0.94/1.15 (assume @p87 (forall @t11 (=> @t53 (exists @t40 (and @t67 @t86))))) % 0.94/1.15 (assume @p88 (exists @t11 @t10)) % 0.94/1.15 (assume @p89 (exists @t11 @t88)) % 0.94/1.15 (assume @p90 (forall @t11 (exists @t40 (and @t67 @t51)))) % 0.94/1.15 (assume @p91 (exists @t11 @t53)) % 0.94/1.15 (assume @p92 (forall @t6 (=> @t74 (= @t78 @t92)))) % 0.94/1.15 (assume @p93 (forall @t6 (=> @t74 (= @t79 (tptp.set_meet @t2))))) % 0.94/1.15 (assume @p94 (forall @t54 (=> @t82 (= @t80 @t96)))) % 0.94/1.15 (assume @p95 (forall @t6 (tptp.subset @t1 @t1))) % 0.94/1.15 (assume @p96 (forall @t6 (=> @t70 (tptp.disjoint @t2 @t1)))) % 0.94/1.15 (assume @p97 (forall @t94 (not (and (= @t12 (tptp.unordered_pair @t17 @t16)) (not @t97) (not (= @t1 @t16)))))) % 0.94/1.15 (assume @p98 (forall @t54 (=> @t32 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t17))) (and @t5 (tptp.in @t1 @t98)))))) % 0.94/1.15 (assume @p99 (forall @t6 (=> @t23 (tptp.subset @t99 @t1)))) % 0.94/1.15 (assume @p100 (forall @t6 (=> @t23 (tptp.subset @t35 @t2)))) % 0.94/1.15 (assume @p101 (forall @t6 (=> @t23 (tptp.subset @t99 @t100)))) % 0.94/1.15 (assume @p102 (forall @t54 (=> @t24 (and (tptp.subset @t101 (tptp.cartesian_product2 @t2 @t17)) (tptp.subset (tptp.cartesian_product2 @t17 @t1) (tptp.cartesian_product2 @t17 @t2)))))) % 0.94/1.15 (assume @p103 (forall @t6 (=> @t23 (= @t99 (tptp.set_intersection2 @t100 @t1))))) % 0.94/1.15 (assume @p104 (forall @t94 (=> (and @t24 (tptp.subset @t17 @t16)) (tptp.subset @t101 (tptp.cartesian_product2 @t2 @t16))))) % 0.94/1.15 (assume @p105 (forall @t6 (=> @t24 (= @t14 @t2)))) % 0.94/1.15 (assume @p106 (forall @t11 (exists @t40 (and @t5 @t106 (forall @t36 (=> @t46 (tptp.in @t105 @t2))) @t104)))) % 0.94/1.15 (assume @p107 (forall @t54 (=> @t32 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t17) @t2) (tptp.relation_rng_restriction @t1 @t107))))) % 0.94/1.15 (assume @p108 @t116) % 0.94/1.15 (assume @p109 @t119) % 0.94/1.15 (assume @p110 (forall @t6 (tptp.subset @t15 @t1))) % 0.94/1.15 (assume @p111 (forall @t54 (=> (and @t24 @t121) (tptp.subset @t1 @t120)))) % 0.94/1.15 (assume @p112 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.94/1.15 (assume @p113 (forall @t6 (=> @t5 @t122))) % 0.94/1.15 (assume @p114 (forall @t54 (=> (and @t24 (tptp.subset @t2 @t17)) @t121))) % 0.94/1.15 (assume @p115 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 0.94/1.15 (assume @p116 @t127) % 0.94/1.15 (assume @p117 (forall @t11 (=> @t9 (tptp.subset @t1 (tptp.cartesian_product2 @t60 @t65))))) % 0.94/1.15 (assume @p118 (forall @t11 (=> @t9 (forall @t40 (=> @t23 (=> @t24 (and (tptp.subset @t60 @t128) (tptp.subset @t65 @t100)))))))) % 0.94/1.15 (assume @p119 (forall @t54 (=> @t24 (tptp.subset (tptp.set_intersection2 @t1 @t17) @t120)))) % 0.94/1.15 (assume @p120 (forall @t6 (=> @t24 (= @t15 @t1)))) % 0.94/1.15 (assume @p121 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.94/1.15 (assume @p122 (forall @t6 (=> @t122 (or @t51 @t5)))) % 0.94/1.15 (assume @p123 (forall @t6 (=> (forall @t36 (= @t18 @t46)) @t25))) % 0.94/1.15 (assume @p124 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 0.94/1.15 (assume @p125 (forall @t54 (=> @t32 (=> @t125 (and (tptp.in @t1 @t129) (tptp.in @t2 @t129)))))) % 0.94/1.15 (assume @p126 (forall @t54 (=> @t24 (tptp.subset (tptp.set_difference @t1 @t17) @t96)))) % 0.94/1.15 (assume @p127 (forall @t94 (=> (= @t68 @t19) (and @t97 (= @t2 @t16))))) % 0.94/1.15 (assume @p128 (forall @t6 (tptp.subset @t63 @t1))) % 0.94/1.15 (assume @p129 (forall @t11 (=> @t9 (and (= @t65 (tptp.relation_dom @t69)) (= @t60 (tptp.relation_rng @t69)))))) % 0.94/1.15 (assume @p130 (forall @t54 (= (tptp.subset @t12 @t17) (and @t93 @t130)))) % 0.94/1.15 (assume @p131 (forall @t6 (= @t131 @t14))) % 0.94/1.15 (assume @p132 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.94/1.15 (assume @p133 (forall @t6 (= @t95 @t24))) % 0.94/1.15 (assume @p134 (forall @t6 (and (not (and @t133 (forall @t36 (not @t132)))) (not (and (exists @t36 @t132) @t70))))) % 0.94/1.15 (assume @p135 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t43))) % 0.94/1.15 (assume @p136 (forall @t6 (= (tptp.set_difference @t14 @t2) @t63))) % 0.94/1.15 (assume @p137 (forall @t6 (=> @t67 (forall @t36 (=> @t81 (= @t135 (tptp.subset @t2 @t134))))))) % 0.94/1.15 (assume @p138 (forall @t11 (=> @t9 (forall @t40 (=> @t23 (tptp.subset @t136 @t60)))))) % 0.94/1.15 (assume @p139 (forall @t11 (=> @t9 (forall @t40 (=> @t23 (tptp.subset (tptp.relation_rng @t71) @t100)))))) % 0.94/1.15 (assume @p140 (forall @t6 (=> @t24 (= @t2 @t131)))) % 0.94/1.15 (assume @p141 (forall @t11 (=> @t9 (forall @t40 (=> @t23 (=> (tptp.subset @t65 @t128) (= @t136 @t60))))))) % 0.94/1.15 (assume @p142 (forall @t6 (=> @t74 (not (and @t137 (= @t72 tptp.empty_set)))))) % 0.94/1.15 (assume @p143 (forall @t11 (=> @t9 (forall @t40 (=> @t23 (=> (tptp.subset @t60 @t100) (= (tptp.relation_rng @t83) @t65))))))) % 0.94/1.15 (assume @p144 (forall @t6 (=> @t74 (=> @t137 (= (tptp.subset_difference @t1 @t61 @t78) (tptp.meet_of_subsets @t1 @t72)))))) % 0.94/1.15 (assume @p145 (forall @t6 (=> @t74 (=> @t137 (= (tptp.union_of_subsets @t1 @t72) (tptp.subset_difference @t1 @t61 @t79)))))) % 0.94/1.15 (assume @p146 (forall @t6 (= (tptp.set_difference @t1 @t63) @t15))) % 0.94/1.15 (assume @p147 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.94/1.15 (assume @p148 (forall @t54 (=> (and @t5 @t138) (tptp.element @t1 @t17)))) % 0.94/1.15 (assume @p149 (forall @t6 (and (not (and @t133 (forall @t36 (not @t139)))) (not (and (exists @t36 @t139) @t70))))) % 0.94/1.15 (assume @p150 (forall @t11 (=> @t47 (forall @t40 (=> @t67 (forall @t36 (=> (tptp.element @t17 @t1) (=> @t102 (tptp.in @t17 @t66))))))))) % 0.94/1.15 (assume @p151 (forall @t54 (=> @t81 (not (and (tptp.in @t2 @t134) @t130))))) % 0.94/1.15 (assume @p152 (forall @t11 (=> @t9 (=> (forall @t33 (not (tptp.in (tptp.ordered_pair @t2 @t17) @t1))) @t43)))) % 0.94/1.15 (assume @p153 (forall @t54 (not (and @t5 @t138 (tptp.empty @t17))))) % 0.94/1.15 (assume @p154 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 0.94/1.15 (assume @p155 (forall @t6 (not (and @t24 @t7)))) % 0.94/1.15 (assume @p156 (forall @t54 (=> (and @t24 @t135) (tptp.disjoint @t1 @t17)))) % 0.94/1.15 (assume @p157 (forall @t11 (=> @t9 (=> (or @t141 @t140) @t43)))) % 0.94/1.15 (assume @p158 (forall @t11 (=> @t9 (= @t141 @t140)))) % 0.94/1.15 (assume @p159 (forall @t6 (= (= (tptp.set_difference @t1 @t91) @t1) @t4))) % 0.94/1.15 (assume @p160 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t48))) % 0.94/1.15 (assume @p161 (forall @t11 (=> @t10 @t43))) % 0.94/1.15 (assume @p162 (forall @t6 (=> (tptp.subset @t48 @t91) @t25))) % 0.94/1.15 (assume @p163 (forall @t11 (and (= (tptp.relation_dom @t22) @t1) (= (tptp.relation_rng @t22) @t1)))) % 0.94/1.15 (assume @p164 (forall @t94 (=> (tptp.relation @t16) (= (tptp.in @t68 (tptp.relation_composition (tptp.identity_relation @t17) @t16)) (and @t93 (tptp.in @t68 @t16)))))) % 0.94/1.15 (assume @p165 (forall @t6 (not (and @t5 @t51)))) % 0.94/1.15 (assume @p166 (forall @t6 (tptp.subset @t1 @t14))) % 0.94/1.15 (assume @p167 (forall @t6 (= @t70 (= @t63 @t1)))) % 0.94/1.15 (assume @p168 (forall @t54 (=> @t32 (= (tptp.in @t1 (tptp.relation_dom @t107)) (and @t5 @t123))))) % 0.94/1.15 (assume @p169 (forall @t6 (=> @t23 (tptp.subset @t142 @t2)))) % 0.94/1.15 (assume @p170 (forall @t6 (not (and @t10 @t75 @t51)))) % 0.94/1.15 (assume @p171 (forall @t54 (=> (and @t24 @t103) (tptp.subset (tptp.set_union2 @t1 @t17) @t2)))) % 0.94/1.15 (assume @p172 (forall @t54 (=> @t143 @t25))) % 0.94/1.15 (assume @p173 (forall @t6 (=> @t23 (= (tptp.relation_dom @t142) (tptp.set_intersection2 @t128 @t1))))) % 0.94/1.15 (assume @p174 (forall @t6 (=> @t23 (= @t142 (tptp.relation_composition @t22 @t2))))) % 0.94/1.15 (assume @p175 (forall @t6 (=> @t23 (tptp.subset (tptp.relation_rng @t142) @t100)))) % 0.94/1.15 (assume @p176 (forall @t11 (= (tptp.union @t49) @t1))) % 0.94/1.15 (assume @p177 (forall @t11 (exists @t40 (and @t5 @t106 (forall @t36 (not (and @t46 (forall @t39 (not (and @t28 (forall @t37 (=> (tptp.subset @t26 @t17) (tptp.in @t26 @t16))))))))) @t104)))) % 0.94/1.15 (assume @p178 (forall @t54 (=> @t143 (= @t2 @t17)))) % 0.94/1.15 (step @p179 :rule bool-impl-elim :args (@t23 @t117)) % 0.94/1.15 (step @p180 :rule cong :premises (@p179) :args (@t118)) % 0.94/1.15 (step @p181 :rule cong :premises (@p180) :args (@t119)) % 0.94/1.15 (step @p182 :rule eq_resolve :premises (@p109 @p181)) % 0.94/1.15 (step @p183 :rule skolemize :premises (@p182)) % 0.94/1.15 (step @p184 :rule bool-double-not-elim :args (@t146)) % 0.94/1.15 (step @p185 :rule refl :args (@t152)) % 0.94/1.15 (step @p186 :rule nary_cong :premises (@p185 @p184) :args ((or @t152 (not @t151)))) % 0.94/1.15 (step @p187 :rule cnf_or_neg :args (@t152 0)) % 0.94/1.15 (step @p188 :rule eq_resolve :premises (@p187 @p186)) % 0.94/1.15 (step @p189 :rule reordering :premises (@p188) :args ((or @t146 @t152))) % 0.94/1.15 (step @p190 :rule chain_m_resolution :premises (@p189 @p183) :args (@t146 @t153 @t154)) % 0.94/1.15 (step @p191 :rule bool-impl-elim :args (@t32 @t158)) % 0.94/1.15 (step @p192 :rule cong :premises (@p191) :args ((forall @t54 (=> @t32 @t158)))) % 0.94/1.15 (step @p193 :rule aci_norm :args ((= (or @t156 (or @t155 @t62)) @t157))) % 0.94/1.15 (step @p194 :rule bool-and-de-morgan :args (@t108 @t28 true)) % 0.94/1.15 (step @p195 :rule refl :args (@t156)) % 0.94/1.15 (step @p196 :rule nary_cong :premises (@p195 @p194) :args ((or @t156 (not (and @t108 @t28))))) % 0.94/1.15 (step @p197 :rule bool-and-de-morgan :args (@t110 @t108 (and @t28))) % 0.94/1.15 (step @p198 :rule trans :premises (@p197 @p196)) % 0.94/1.15 (step @p199 :rule trans :premises (@p198 @p193)) % 0.94/1.15 (step @p200 :rule cong :premises (@p199) :args (@t159)) % 0.94/1.15 (step @p201 :rule cong :premises (@p200) :args (@t160)) % 0.94/1.15 (step @p202 :rule exists-elim :args ((= @t112 @t160))) % 0.94/1.15 (step @p203 :rule trans :premises (@p202 @p201)) % 0.94/1.15 (step @p204 :rule refl :args (@t113)) % 0.94/1.15 (step @p205 :rule cong :premises (@p204 @p203) :args (@t114)) % 0.94/1.15 (step @p206 :rule refl :args (@t32)) % 0.94/1.15 (step @p207 :rule cong :premises (@p206 @p205) :args (@t115)) % 0.94/1.15 (step @p208 :rule cong :premises (@p207) :args (@t116)) % 0.94/1.15 (step @p209 :rule trans :premises (@p208 @p192)) % 0.94/1.15 (step @p210 :rule eq_resolve :premises (@p108 @p209)) % 0.94/1.15 (step @p211 :rule instantiate :premises (@p210) :args ((@list @t162 @t148 @t145))) % 0.94/1.15 (step @p212 :rule cnf_or_pos :args (@t168)) % 0.94/1.15 (step @p213 :rule reordering :premises (@p212) :args ((or @t151 @t167 (not @t168)))) % 0.94/1.15 (step @p214 :rule chain_m_resolution :premises (@p213 @p190 @p211) :args (@t167 @t169 (@list @t146 @t168))) % 0.94/1.15 (step @p215 :rule bool-impl-elim :args (@t18 @t46)) % 0.94/1.15 (step @p216 :rule cong :premises (@p215) :args (@t57)) % 0.94/1.15 (step @p217 :rule refl :args (@t24)) % 0.94/1.15 (step @p218 :rule cong :premises (@p217 @p216) :args (@t58)) % 0.94/1.15 (step @p219 :rule cong :premises (@p218) :args (@t59)) % 0.94/1.15 (step @p220 :rule eq_resolve :premises (@p23 @p219)) % 0.94/1.15 (step @p221 :rule instantiate :premises (@p220) :args ((@list @t149 @t147))) % 0.94/1.15 (step @p222 :rule cnf_or_neg :args (@t152 1)) % 0.94/1.15 (step @p223 :rule chain_m_resolution :premises (@p222 @p183) :args ((not @t150) @t153 @t154)) % 0.94/1.15 (step @p224 :rule cnf_equiv_pos2 :args (@t170)) % 0.94/1.15 (step @p225 :rule reordering :premises (@p224) :args ((or @t150 @t171 (not @t170)))) % 0.94/1.15 (step @p226 :rule chain_m_resolution :premises (@p225 @p223 @p221) :args (@t171 (@list true false) (@list @t150 @t170))) % 0.94/1.15 (step @p227 :rule skolemize :premises (@p226)) % 0.94/1.15 (step @p228 :rule bool-double-not-elim :args (@t166)) % 0.94/1.15 (step @p229 :rule refl :args (@t174)) % 0.94/1.15 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or @t174 (not @t173)))) % 0.94/1.15 (step @p231 :rule cnf_or_neg :args (@t174 0)) % 0.94/1.15 (step @p232 :rule eq_resolve :premises (@p231 @p230)) % 0.94/1.15 (step @p233 :rule reordering :premises (@p232) :args ((or @t166 @t174))) % 0.94/1.15 (step @p234 :rule chain_m_resolution :premises (@p233 @p227) :args (@t166 @t153 @t175)) % 0.94/1.15 (step @p235 :rule cnf_equiv_pos1 :args (@t167)) % 0.94/1.15 (step @p236 :rule reordering :premises (@p235) :args ((or @t173 @t165 (not @t167)))) % 0.94/1.15 (step @p237 :rule chain_m_resolution :premises (@p236 @p234 @p214) :args (@t165 @t169 (@list @t166 @t167))) % 0.94/1.15 (step @p238 :rule skolemize :premises (@p237)) % 0.94/1.15 (step @p239 :rule bool-double-not-elim :args (@t177)) % 0.94/1.15 (step @p240 :rule refl :args (@t180)) % 0.94/1.15 (step @p241 :rule nary_cong :premises (@p240 @p239) :args ((or @t180 (not @t178)))) % 0.94/1.15 (step @p242 :rule cnf_or_neg :args (@t180 1)) % 0.94/1.15 (step @p243 :rule eq_resolve :premises (@p242 @p241)) % 0.94/1.15 (step @p244 :rule reordering :premises (@p243) :args ((or @t177 @t180))) % 0.94/1.15 (step @p245 :rule chain_m_resolution :premises (@p244 @p238) :args (@t177 @t153 (@list @t180))) % 0.94/1.15 (step @p246 :rule cnf_or_neg :args (@t174 1)) % 0.94/1.15 (step @p247 :rule chain_m_resolution :premises (@p246 @p227) :args ((not @t172) @t153 @t175)) % 0.94/1.15 (step @p248 :rule cnf_and_pos :args (@t181 1)) % 0.94/1.15 (step @p249 :rule reordering :premises (@p248) :args ((or @t172 @t182))) % 0.94/1.15 (step @p250 :rule chain_m_resolution :premises (@p249 @p247) :args (@t182 @t153 (@list @t172))) % 0.94/1.15 (step @p251 :rule aci_norm :args ((= (or @t184 (or @t183 @t124)) (or @t184 @t183 @t124)))) % 0.94/1.15 (step @p252 :rule bool-impl-elim :args (@t125 @t124)) % 0.94/1.15 (step @p253 :rule refl :args (@t184)) % 0.94/1.15 (step @p254 :rule nary_cong :premises (@p253 @p252) :args ((or @t184 @t126))) % 0.94/1.15 (step @p255 :rule trans :premises (@p254 @p251)) % 0.94/1.15 (step @p256 :rule bool-impl-elim :args (@t32 @t126)) % 0.94/1.15 (step @p257 :rule trans :premises (@p256 @p255)) % 0.94/1.15 (step @p258 :rule cong :premises (@p257) :args (@t127)) % 0.94/1.15 (step @p259 :rule eq_resolve :premises (@p116 @p258)) % 0.94/1.15 (step @p260 :rule instantiate :premises (@p259) :args ((@list @t176 @t162 @t145))) % 0.94/1.15 (step @p261 :rule cnf_or_pos :args (@t185)) % 0.94/1.15 (step @p262 :rule reordering :premises (@p261) :args ((or @t151 @t178 @t181 (not @t185)))) % 0.94/1.15 (step @p263 false :rule chain_m_resolution :premises (@p262 @p260 @p250 @p245 @p190) :args (false (@list false true false false) (@list @t185 @t181 @t177 @t146))) % 0.94/1.15 ) % 0.94/1.15 % SZS output end Proof % 0.94/1.15 % cvc5 exiting %------------------------------------------------------------------------------