%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU186+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 : n001.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 08:50:53 AM UTC 2026 % Result : Theorem 2.02s 2.29s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU186+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 % 0.16/0.34 % Computer : n001.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 16:35:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.52 %----Proving TF0_NAR, FOF, or CNF % 2.02/2.29 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.02/2.29 % SZS status Theorem % 2.02/2.29 % SZS output start Proof % 2.02/2.29 ( % 2.02/2.29 (declare-sort $$unsorted 0) % 2.02/2.29 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.relation (-> $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.empty_set $$unsorted) % 2.02/2.29 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.empty (-> $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 2.02/2.29 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 2.02/2.29 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 2.02/2.29 (define @t1 () (@var "A" $$unsorted)) % 2.02/2.29 (define @t2 () (@var "B" $$unsorted)) % 2.02/2.29 (define @t3 () (tptp.in @t2 @t1)) % 2.02/2.29 (define @t4 () (not @t3)) % 2.02/2.29 (define @t5 () (tptp.in @t1 @t2)) % 2.02/2.29 (define @t6 () (@list @t1 @t2)) % 2.02/2.29 (define @t7 () (tptp.proper_subset @t2 @t1)) % 2.02/2.29 (define @t8 () (tptp.proper_subset @t1 @t2)) % 2.02/2.29 (define @t9 () (tptp.relation @t1)) % 2.02/2.29 (define @t10 () (tptp.empty @t1)) % 2.02/2.29 (define @t11 () (@list @t1)) % 2.02/2.29 (define @t12 () (tptp.unordered_pair @t1 @t2)) % 2.02/2.29 (define @t13 () (tptp.set_union2 @t2 @t1)) % 2.02/2.29 (define @t14 () (tptp.set_union2 @t1 @t2)) % 2.02/2.29 (define @t15 () (tptp.set_intersection2 @t1 @t2)) % 2.02/2.29 (define @t16 () (tptp.subset @t1 @t2)) % 2.02/2.29 (define @t17 () (= @t1 @t2)) % 2.02/2.29 (define @t18 () (@var "D" $$unsorted)) % 2.02/2.29 (define @t19 () (@var "C" $$unsorted)) % 2.02/2.29 (define @t20 () (tptp.ordered_pair @t19 @t18)) % 2.02/2.29 (define @t21 () (@list @t19 @t18)) % 2.02/2.29 (define @t22 () (@list @t2)) % 2.02/2.29 (define @t23 () (= @t2 tptp.empty_set)) % 2.02/2.29 (define @t24 () (= @t2 (tptp.set_meet @t1))) % 2.02/2.29 (define @t25 () (= @t1 tptp.empty_set)) % 2.02/2.29 (define @t26 () (tptp.in @t19 @t18)) % 2.02/2.29 (define @t27 () (tptp.in @t18 @t1)) % 2.02/2.29 (define @t28 () (@list @t18)) % 2.02/2.29 (define @t29 () (tptp.in @t19 @t2)) % 2.02/2.29 (define @t30 () (@list @t19)) % 2.02/2.29 (define @t31 () (not @t25)) % 2.02/2.29 (define @t32 () (tptp.singleton @t1)) % 2.02/2.29 (define @t33 () (tptp.powerset @t1)) % 2.02/2.29 (define @t34 () (tptp.empty @t2)) % 2.02/2.29 (define @t35 () (tptp.element @t2 @t1)) % 2.02/2.29 (define @t36 () (not @t10)) % 2.02/2.29 (define @t37 () (tptp.in @t18 @t19)) % 2.02/2.29 (define @t38 () (@list @t1 @t2 @t19)) % 2.02/2.29 (define @t39 () (tptp.in @t18 @t2)) % 2.02/2.29 (define @t40 () (@var "F" $$unsorted)) % 2.02/2.29 (define @t41 () (@var "E" $$unsorted)) % 2.02/2.29 (define @t42 () (tptp.cartesian_product2 @t1 @t2)) % 2.02/2.29 (define @t43 () (tptp.in @t19 @t1)) % 2.02/2.29 (define @t44 () (forall @t30 (=> @t43 @t29))) % 2.02/2.29 (define @t45 () (tptp.relation_dom @t1)) % 2.02/2.29 (define @t46 () (tptp.cast_to_subset @t1)) % 2.02/2.29 (define @t47 () (tptp.set_difference @t1 @t2)) % 2.02/2.29 (define @t48 () (tptp.ordered_pair @t18 @t19)) % 2.02/2.29 (define @t49 () (tptp.in @t48 @t1)) % 2.02/2.29 (define @t50 () (tptp.relation_rng @t1)) % 2.02/2.29 (define @t51 () (tptp.subset_complement @t1 @t2)) % 2.02/2.29 (define @t52 () (tptp.element @t2 @t33)) % 2.02/2.29 (define @t53 () (tptp.ordered_pair @t1 @t2)) % 2.02/2.29 (define @t54 () (tptp.in @t20 @t2)) % 2.02/2.29 (define @t55 () (forall @t21 (= @t54 @t49))) % 2.02/2.29 (define @t56 () (tptp.relation_inverse @t1)) % 2.02/2.29 (define @t57 () (= @t2 @t56)) % 2.02/2.29 (define @t58 () (= @t57 @t55)) % 2.02/2.29 (define @t59 () (tptp.relation @t2)) % 2.02/2.29 (define @t60 () (=> @t59 @t58)) % 2.02/2.29 (define @t61 () (forall @t22 @t60)) % 2.02/2.29 (define @t62 () (=> @t9 @t61)) % 2.02/2.29 (define @t63 () (forall @t11 @t62)) % 2.02/2.29 (define @t64 () (tptp.disjoint @t1 @t2)) % 2.02/2.29 (define @t65 () (tptp.relation_composition @t1 @t2)) % 2.02/2.29 (define @t66 () (tptp.relation @t19)) % 2.02/2.29 (define @t67 () (tptp.complements_of_subsets @t1 @t2)) % 2.02/2.29 (define @t68 () (tptp.powerset @t33)) % 2.02/2.29 (define @t69 () (tptp.element @t2 @t68)) % 2.02/2.29 (define @t70 () (not @t17)) % 2.02/2.29 (define @t71 () (and @t9 @t59)) % 2.02/2.29 (define @t72 () (tptp.union_of_subsets @t1 @t2)) % 2.02/2.29 (define @t73 () (tptp.meet_of_subsets @t1 @t2)) % 2.02/2.29 (define @t74 () (tptp.subset_difference @t1 @t2 @t19)) % 2.02/2.29 (define @t75 () (tptp.element @t19 @t33)) % 2.02/2.29 (define @t76 () (and @t52 @t75)) % 2.02/2.29 (define @t77 () (tptp.empty tptp.empty_set)) % 2.02/2.29 (define @t78 () (tptp.relation tptp.empty_set)) % 2.02/2.29 (define @t79 () (not @t34)) % 2.02/2.29 (define @t80 () (tptp.disjoint @t32 @t2)) % 2.02/2.29 (define @t81 () (tptp.singleton @t2)) % 2.02/2.29 (define @t82 () (tptp.union @t2)) % 2.02/2.29 (define @t83 () (tptp.in @t1 @t19)) % 2.02/2.29 (define @t84 () (@list @t1 @t2 @t19 @t18)) % 2.02/2.29 (define @t85 () (tptp.element @t1 (tptp.powerset @t2))) % 2.02/2.29 (define @t86 () (tptp.set_difference @t2 @t19)) % 2.02/2.29 (define @t87 () (= @t1 @t19)) % 2.02/2.29 (define @t88 () (tptp.cartesian_product2 @t1 @t19)) % 2.02/2.29 (define @t89 () (not @t29)) % 2.02/2.29 (define @t90 () (tptp.subset @t19 @t2)) % 2.02/2.29 (define @t91 () (forall @t30 (not (and @t90 (not (tptp.are_equipotent @t19 @t2)) @t89)))) % 2.02/2.29 (define @t92 () (tptp.powerset @t19)) % 2.02/2.29 (define @t93 () (forall @t21 (=> (and @t29 (tptp.subset @t18 @t19)) @t39))) % 2.02/2.29 (define @t94 () (tptp.set_intersection2 @t2 @t19)) % 2.02/2.29 (define @t95 () (tptp.subset @t1 @t19)) % 2.02/2.29 (define @t96 () (tptp.element @t1 @t2)) % 2.02/2.29 (define @t97 () (tptp.in @t53 @t19)) % 2.02/2.29 (define @t98 () (tptp.relation_rng @t2)) % 2.02/2.29 (define @t99 () (tptp.relation_dom @t2)) % 2.02/2.29 (define @t100 () (tptp.relation_field @t19)) % 2.02/2.29 (define @t101 () (tptp.in @t2 @t19)) % 2.02/2.29 (define @t102 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 2.02/2.29 (define @t103 () (and @t43 @t29)) % 2.02/2.29 (define @t104 () (not @t64)) % 2.02/2.29 (define @t105 () (tptp.subset_complement @t1 @t19)) % 2.02/2.29 (define @t106 () (tptp.disjoint @t2 @t19)) % 2.02/2.29 (define @t107 () (tptp.relation_dom @t65)) % 2.02/2.29 (define @t108 () (not @t23)) % 2.02/2.29 (define @t109 () (tptp.element @t2 @t92)) % 2.02/2.29 (define @t110 () (tptp.in @t19 @t15)) % 2.02/2.29 (define @t111 () (tptp.ordered_pair @t2 @t19)) % 2.02/2.29 (define @t112 () (@list @t2 @t19)) % 2.02/2.29 (define @t113 () (forall @t112 (not (tptp.in @t111 @t1)))) % 2.02/2.29 (define @t114 () (=> @t113 @t25)) % 2.02/2.29 (define @t115 () (forall @t11 (=> @t9 @t114))) % 2.02/2.29 (define @t116 () (not @t115)) % 2.02/2.29 (define @t117 () (forall @t6 (not (and @t5 @t34)))) % 2.02/2.29 (define @t118 () (= @t32 (tptp.unordered_pair @t2 @t19))) % 2.02/2.29 (define @t119 () (@var "BOUND_VARIABLE_8436" $$unsorted)) % 2.02/2.29 (define @t120 () (= @t56 @t119)) % 2.02/2.29 (define @t121 () (forall @t21 (= @t49 (tptp.in @t20 @t119)))) % 2.02/2.29 (define @t122 () (= (= @t119 @t56) @t121)) % 2.02/2.29 (define @t123 () (not (tptp.relation @t119))) % 2.02/2.29 (define @t124 () (not @t9)) % 2.02/2.29 (define @t125 () (or @t124 @t123 @t122)) % 2.02/2.29 (define @t126 () (or @t123 @t122)) % 2.02/2.29 (define @t127 () (or @t124 @t126)) % 2.02/2.29 (define @t128 () (@list @t1 @t119)) % 2.02/2.29 (define @t129 () (forall @t128 @t127)) % 2.02/2.29 (define @t130 () (@list @t119)) % 2.02/2.29 (define @t131 () (forall @t130 @t127)) % 2.02/2.29 (define @t132 () (forall @t130 @t126)) % 2.02/2.29 (define @t133 () (or @t124 @t132)) % 2.02/2.29 (define @t134 () (= @t57 (forall @t21 (= @t49 @t54)))) % 2.02/2.29 (define @t135 () (forall @t22 (or (not @t59) @t134))) % 2.02/2.29 (define @t136 () (not @t113)) % 2.02/2.29 (define @t137 () (or @t124 @t136 @t25)) % 2.02/2.29 (define @t138 () (forall @t11 @t137)) % 2.02/2.29 (define @t139 () (@quantifiers_skolemize @t138 0)) % 2.02/2.29 (define @t140 () (tptp.relation_inverse @t139)) % 2.02/2.29 (define @t141 () (tptp.in @t48 @t139)) % 2.02/2.29 (define @t142 () (tptp.in @t20 tptp.empty_set)) % 2.02/2.29 (define @t143 () (forall @t21 (= @t141 @t142))) % 2.02/2.29 (define @t144 () (= @t143 (= @t140 tptp.empty_set))) % 2.02/2.29 (define @t145 () (not @t78)) % 2.02/2.29 (define @t146 () (tptp.relation @t139)) % 2.02/2.29 (define @t147 () (not @t146)) % 2.02/2.29 (define @t148 () (or @t147 @t145 @t144)) % 2.02/2.29 (define @t149 () (forall @t128 (or @t124 @t123 (= @t121 @t120)))) % 2.02/2.29 (define @t150 () (= tptp.empty_set @t140)) % 2.02/2.29 (define @t151 () (forall @t21 (= @t142 @t141))) % 2.02/2.29 (define @t152 () (= @t151 @t150)) % 2.02/2.29 (define @t153 () (or @t147 @t145 @t152)) % 2.02/2.29 (define @t154 () (@list false)) % 2.02/2.29 (define @t155 () (@list @t149)) % 2.02/2.29 (define @t156 () (= tptp.empty_set @t139)) % 2.02/2.29 (define @t157 () (forall @t112 (not (tptp.in @t111 @t139)))) % 2.02/2.29 (define @t158 () (not @t157)) % 2.02/2.29 (define @t159 () (or @t147 @t158 @t156)) % 2.02/2.29 (define @t160 () (not @t159)) % 2.02/2.29 (define @t161 () (not @t138)) % 2.02/2.29 (define @t162 () (or @t147 @t158 (= @t139 tptp.empty_set))) % 2.02/2.29 (define @t163 () (not @t162)) % 2.02/2.29 (define @t164 () (@list true)) % 2.02/2.29 (define @t165 () (@list @t159)) % 2.02/2.29 (define @t166 () (forall @t21 (= @t141 (tptp.in @t20 @t139)))) % 2.02/2.29 (define @t167 () (= @t166 (= @t140 @t139))) % 2.02/2.29 (define @t168 () (or @t147 @t147 @t167)) % 2.02/2.29 (define @t169 () (= @t139 @t140)) % 2.02/2.29 (define @t170 () (= @t166 @t169)) % 2.02/2.29 (define @t171 () (or @t147 @t147 @t170)) % 2.02/2.29 (define @t172 () (@list false false)) % 2.02/2.29 (define @t173 () (@quantifiers_skolemize @t166 1)) % 2.02/2.29 (define @t174 () (@quantifiers_skolemize @t166 0)) % 2.02/2.29 (define @t175 () (tptp.in (tptp.ordered_pair @t174 @t173) @t139)) % 2.02/2.29 (define @t176 () (tptp.in (tptp.ordered_pair @t173 @t174) @t139)) % 2.02/2.29 (define @t177 () (= @t176 @t175)) % 2.02/2.29 (define @t178 () (not @t177)) % 2.02/2.29 (define @t179 () (not @t166)) % 2.02/2.29 (define @t180 () (not @t156)) % 2.02/2.29 (define @t181 () (not @t150)) % 2.02/2.29 (define @t182 () (not @t169)) % 2.02/2.29 (define @t183 () (and @t180 @t169)) % 2.02/2.29 (define @t184 () (@list true false)) % 2.02/2.29 (define @t185 () (not @t151)) % 2.02/2.29 (define @t186 () (@quantifiers_skolemize @t151 0)) % 2.02/2.29 (define @t187 () (@quantifiers_skolemize @t151 1)) % 2.02/2.29 (define @t188 () (tptp.in (tptp.ordered_pair @t187 @t186) @t139)) % 2.02/2.29 (define @t189 () (tptp.ordered_pair @t186 @t187)) % 2.02/2.29 (define @t190 () (tptp.in @t189 tptp.empty_set)) % 2.02/2.29 (define @t191 () (= @t190 @t188)) % 2.02/2.29 (define @t192 () (not @t191)) % 2.02/2.29 (define @t193 () (not @t77)) % 2.02/2.29 (define @t194 () (not @t190)) % 2.02/2.29 (define @t195 () (or @t194 @t193)) % 2.02/2.29 (define @t196 () (tptp.in @t189 @t139)) % 2.02/2.29 (define @t197 () (= @t196 @t188)) % 2.02/2.29 (define @t198 () (= @t188 @t196)) % 2.02/2.29 (define @t199 () (not @t188)) % 2.02/2.29 (assume @p1 (forall @t6 (=> @t5 @t4))) % 2.02/2.29 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 2.02/2.29 (assume @p3 (forall @t11 (=> @t10 @t9))) % 2.02/2.29 (assume @p4 (forall @t6 (= @t12 (tptp.unordered_pair @t2 @t1)))) % 2.02/2.29 (assume @p5 (forall @t6 (= @t14 @t13))) % 2.02/2.29 (assume @p6 (forall @t6 (= @t15 (tptp.set_intersection2 @t2 @t1)))) % 2.02/2.29 (assume @p7 (forall @t6 (= @t17 (and @t16 (tptp.subset @t2 @t1))))) % 2.02/2.29 (assume @p8 (forall @t11 (= @t9 (forall @t22 (not (and @t3 (forall @t21 (not (= @t2 @t20))))))))) % 2.02/2.29 (assume @p9 (forall @t6 (and (=> @t31 (= @t24 (forall @t30 (= @t29 (forall @t28 (=> @t27 @t26)))))) (=> @t25 (= @t24 @t23))))) % 2.02/2.29 (assume @p10 (forall @t6 (= (= @t2 @t32) (forall @t30 (= @t29 (= @t19 @t1)))))) % 2.02/2.29 (assume @p11 (forall @t11 (= @t25 (forall @t22 @t4)))) % 2.02/2.29 (assume @p12 (forall @t6 (= (= @t2 @t33) (forall @t30 (= @t29 (tptp.subset @t19 @t1)))))) % 2.02/2.29 (assume @p13 (forall @t6 (and (=> @t36 (= @t35 @t3)) (=> @t10 (= @t35 @t34))))) % 2.02/2.29 (assume @p14 (forall @t38 (= (= @t19 @t12) (forall @t28 (= @t37 (or (= @t18 @t1) (= @t18 @t2))))))) % 2.02/2.29 (assume @p15 (forall @t38 (= (= @t19 @t14) (forall @t28 (= @t37 (or @t27 @t39)))))) % 2.02/2.29 (assume @p16 (forall @t38 (= (= @t19 @t42) (forall @t28 (= @t37 (exists (@list @t41 @t40) (and (tptp.in @t41 @t1) (tptp.in @t40 @t2) (= @t18 (tptp.ordered_pair @t41 @t40))))))))) % 2.02/2.29 (assume @p17 (forall @t6 (= @t16 @t44))) % 2.02/2.29 (assume @p18 (forall @t38 (= (= @t19 @t15) (forall @t28 (= @t37 (and @t27 @t39)))))) % 2.02/2.29 (assume @p19 (forall @t11 (=> @t9 (forall @t22 (= (= @t2 @t45) (forall @t30 (= @t29 (exists @t28 (tptp.in @t20 @t1))))))))) % 2.02/2.29 (assume @p20 (forall @t11 (= @t46 @t1))) % 2.02/2.29 (assume @p21 (forall @t6 (= (= @t2 (tptp.union @t1)) (forall @t30 (= @t29 (exists @t28 (and @t26 @t27))))))) % 2.02/2.29 (assume @p22 (forall @t38 (= (= @t19 @t47) (forall @t28 (= @t37 (and @t27 (not @t39))))))) % 2.02/2.29 (assume @p23 (forall @t11 (=> @t9 (forall @t22 (= (= @t2 @t50) (forall @t30 (= @t29 (exists @t28 @t49)))))))) % 2.02/2.29 (assume @p24 (forall @t6 (=> @t52 (= @t51 @t47)))) % 2.02/2.29 (assume @p25 (forall @t6 (= @t53 (tptp.unordered_pair @t12 @t32)))) % 2.02/2.29 (assume @p26 (forall @t11 (=> @t9 (= (tptp.relation_field @t1) (tptp.set_union2 @t45 @t50))))) % 2.02/2.29 (assume @p27 @t63) % 2.02/2.29 (assume @p28 (forall @t6 (= @t64 (= @t15 tptp.empty_set)))) % 2.02/2.29 (assume @p29 (forall @t11 (=> @t9 (forall @t22 (=> @t59 (forall @t30 (=> @t66 (= (= @t19 @t65) (forall (@list @t18 @t41) (= (tptp.in (tptp.ordered_pair @t18 @t41) @t19) (exists (@list @t40) (and (tptp.in (tptp.ordered_pair @t18 @t40) @t1) (tptp.in (tptp.ordered_pair @t40 @t41) @t2))))))))))))) % 2.02/2.29 (assume @p30 (forall @t6 (=> @t69 (forall @t30 (=> (tptp.element @t19 @t68) (= (= @t19 @t67) (forall @t28 (=> (tptp.element @t18 @t33) (= @t37 (tptp.in (tptp.subset_complement @t1 @t18) @t2)))))))))) % 2.02/2.29 (assume @p31 (forall @t6 (= @t8 (and @t16 @t70)))) % 2.02/2.29 (assume @p32 true) % 2.02/2.29 (assume @p33 (forall @t11 (tptp.element @t46 @t33))) % 2.02/2.29 (assume @p34 (forall @t6 (=> @t52 (tptp.element @t51 @t33)))) % 2.02/2.29 (assume @p35 (forall @t11 (=> @t9 (tptp.relation @t56)))) % 2.02/2.29 (assume @p36 (forall @t6 (=> @t71 (tptp.relation @t65)))) % 2.02/2.29 (assume @p37 (forall @t6 (=> @t69 (tptp.element @t72 @t33)))) % 2.02/2.29 (assume @p38 (forall @t6 (=> @t69 (tptp.element @t73 @t33)))) % 2.02/2.29 (assume @p39 (forall @t38 (=> @t76 (tptp.element @t74 @t33)))) % 2.02/2.29 (assume @p40 (forall @t6 (=> @t69 (tptp.element @t67 @t68)))) % 2.02/2.29 (assume @p41 (forall @t11 (exists @t22 @t35))) % 2.02/2.29 (assume @p42 (forall @t11 (not (tptp.empty @t33)))) % 2.02/2.29 (assume @p43 @t77) % 2.02/2.29 (assume @p44 (forall @t6 (not (tptp.empty @t53)))) % 2.02/2.29 (assume @p45 (forall @t6 (=> @t71 (tptp.relation @t14)))) % 2.02/2.29 (assume @p46 (forall @t11 (not (tptp.empty @t32)))) % 2.02/2.29 (assume @p47 (forall @t6 (=> @t36 (not (tptp.empty @t14))))) % 2.02/2.29 (assume @p48 (forall @t6 (not (tptp.empty @t12)))) % 2.02/2.29 (assume @p49 (forall @t6 (=> @t36 (not (tptp.empty @t13))))) % 2.02/2.29 (assume @p50 (and @t77 @t78)) % 2.02/2.29 (assume @p51 (forall @t6 (=> (and @t36 @t79) (not (tptp.empty @t42))))) % 2.02/2.29 (assume @p52 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 2.02/2.29 (assume @p53 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 2.02/2.29 (assume @p54 (forall @t6 (=> @t52 (= (tptp.subset_complement @t1 @t51) @t2)))) % 2.02/2.29 (assume @p55 (forall @t11 (=> @t9 (= (tptp.relation_inverse @t56) @t1)))) % 2.02/2.29 (assume @p56 (forall @t6 (=> @t69 (= (tptp.complements_of_subsets @t1 @t67) @t2)))) % 2.02/2.29 (assume @p57 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 2.02/2.29 (assume @p58 (forall @t11 (not (= @t32 tptp.empty_set)))) % 2.02/2.29 (assume @p59 (forall @t6 (=> @t5 (= (tptp.set_union2 @t32 @t2) @t2)))) % 2.02/2.29 (assume @p60 (forall @t6 (not (and @t80 @t5)))) % 2.02/2.29 (assume @p61 (forall @t6 (=> (not @t5) @t80))) % 2.02/2.29 (assume @p62 (forall @t6 (= (tptp.subset @t32 @t2) @t5))) % 2.02/2.29 (assume @p63 (forall @t6 (= (= @t47 tptp.empty_set) @t16))) % 2.02/2.29 (assume @p64 (forall @t6 (=> @t52 (forall @t30 (=> @t29 @t43))))) % 2.02/2.29 (assume @p65 (forall @t38 (=> @t16 (or @t43 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t19))))))) % 2.02/2.29 (assume @p66 (forall @t6 (= (tptp.subset @t1 @t81) (or @t25 (= @t1 @t81))))) % 2.02/2.29 (assume @p67 (forall @t6 (=> @t5 (tptp.subset @t1 @t82)))) % 2.02/2.29 (assume @p68 (forall @t84 (= (tptp.in @t53 (tptp.cartesian_product2 @t19 @t18)) (and @t83 (tptp.in @t2 @t18))))) % 2.02/2.29 (assume @p69 (forall @t6 (=> @t44 @t85))) % 2.02/2.29 (assume @p70 (exists @t11 (and @t10 @t9))) % 2.02/2.29 (assume @p71 (forall @t11 (=> @t36 (exists @t22 (and @t52 @t79))))) % 2.02/2.29 (assume @p72 (exists @t11 @t10)) % 2.02/2.29 (assume @p73 (exists @t11 (and @t36 @t9))) % 2.02/2.29 (assume @p74 (forall @t11 (exists @t22 (and @t52 @t34)))) % 2.02/2.29 (assume @p75 (exists @t11 @t36)) % 2.02/2.29 (assume @p76 (forall @t6 (=> @t69 (= @t72 @t82)))) % 2.02/2.29 (assume @p77 (forall @t6 (=> @t69 (= @t73 (tptp.set_meet @t2))))) % 2.02/2.29 (assume @p78 (forall @t38 (=> @t76 (= @t74 @t86)))) % 2.02/2.29 (assume @p79 (forall @t6 (tptp.subset @t1 @t1))) % 2.02/2.29 (assume @p80 (forall @t6 (=> @t64 (tptp.disjoint @t2 @t1)))) % 2.02/2.29 (assume @p81 (forall @t84 (not (and (= @t12 (tptp.unordered_pair @t19 @t18)) (not @t87) (not (= @t1 @t18)))))) % 2.02/2.29 (assume @p82 (forall @t38 (=> @t16 (and (tptp.subset @t88 (tptp.cartesian_product2 @t2 @t19)) (tptp.subset (tptp.cartesian_product2 @t19 @t1) (tptp.cartesian_product2 @t19 @t2)))))) % 2.02/2.29 (assume @p83 (forall @t84 (=> (and @t16 (tptp.subset @t19 @t18)) (tptp.subset @t88 (tptp.cartesian_product2 @t2 @t18))))) % 2.02/2.29 (assume @p84 (forall @t6 (=> @t16 (= @t14 @t2)))) % 2.02/2.29 (assume @p85 (forall @t11 (exists @t22 (and @t5 @t93 (forall @t30 (=> @t29 (tptp.in @t92 @t2))) @t91)))) % 2.02/2.29 (assume @p86 (forall @t6 (tptp.subset @t15 @t1))) % 2.02/2.29 (assume @p87 (forall @t38 (=> (and @t16 @t95) (tptp.subset @t1 @t94)))) % 2.02/2.29 (assume @p88 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 2.02/2.29 (assume @p89 (forall @t6 (=> @t5 @t96))) % 2.02/2.29 (assume @p90 (forall @t38 (=> (and @t16 (tptp.subset @t2 @t19)) @t95))) % 2.02/2.29 (assume @p91 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 2.02/2.29 (assume @p92 (forall @t38 (=> @t66 (=> @t97 (and (tptp.in @t1 (tptp.relation_dom @t19)) (tptp.in @t2 (tptp.relation_rng @t19))))))) % 2.02/2.29 (assume @p93 (forall @t11 (=> @t9 (tptp.subset @t1 (tptp.cartesian_product2 @t45 @t50))))) % 2.02/2.29 (assume @p94 (forall @t11 (=> @t9 (forall @t22 (=> @t59 (=> @t16 (and (tptp.subset @t45 @t99) (tptp.subset @t50 @t98)))))))) % 2.02/2.29 (assume @p95 (forall @t38 (=> @t16 (tptp.subset (tptp.set_intersection2 @t1 @t19) @t94)))) % 2.02/2.29 (assume @p96 (forall @t6 (=> @t16 (= @t15 @t1)))) % 2.02/2.29 (assume @p97 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 2.02/2.29 (assume @p98 (forall @t6 (=> @t96 (or @t34 @t5)))) % 2.02/2.29 (assume @p99 (forall @t6 (=> (forall @t30 (= @t43 @t29)) @t17))) % 2.02/2.29 (assume @p100 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 2.02/2.29 (assume @p101 (forall @t38 (=> @t66 (=> @t97 (and (tptp.in @t1 @t100) (tptp.in @t2 @t100)))))) % 2.02/2.29 (assume @p102 (forall @t38 (=> @t16 (tptp.subset (tptp.set_difference @t1 @t19) @t86)))) % 2.02/2.29 (assume @p103 (forall @t84 (=> (= @t53 @t20) (and @t87 (= @t2 @t18))))) % 2.02/2.29 (assume @p104 (forall @t6 (tptp.subset @t47 @t1))) % 2.02/2.29 (assume @p105 (forall @t11 (=> @t9 (and (= @t50 (tptp.relation_dom @t56)) (= @t45 (tptp.relation_rng @t56)))))) % 2.02/2.29 (assume @p106 (forall @t38 (= (tptp.subset @t12 @t19) (and @t83 @t101)))) % 2.02/2.29 (assume @p107 (forall @t6 (= @t102 @t14))) % 2.02/2.29 (assume @p108 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 2.02/2.29 (assume @p109 (forall @t6 (= @t85 @t16))) % 2.02/2.29 (assume @p110 (forall @t6 (and (not (and @t104 (forall @t30 (not @t103)))) (not (and (exists @t30 @t103) @t64))))) % 2.02/2.29 (assume @p111 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t25))) % 2.02/2.29 (assume @p112 (forall @t6 (= (tptp.set_difference @t14 @t2) @t47))) % 2.02/2.29 (assume @p113 (forall @t6 (=> @t52 (forall @t30 (=> @t75 (= @t106 (tptp.subset @t2 @t105))))))) % 2.02/2.29 (assume @p114 (forall @t11 (=> @t9 (forall @t22 (=> @t59 (tptp.subset @t107 @t45)))))) % 2.02/2.29 (assume @p115 (forall @t11 (=> @t9 (forall @t22 (=> @t59 (tptp.subset (tptp.relation_rng @t65) @t98)))))) % 2.02/2.29 (assume @p116 (forall @t6 (=> @t16 (= @t2 @t102)))) % 2.02/2.29 (assume @p117 (forall @t11 (=> @t9 (forall @t22 (=> @t59 (=> (tptp.subset @t50 @t99) (= @t107 @t45))))))) % 2.02/2.29 (assume @p118 (forall @t6 (=> @t69 (not (and @t108 (= @t67 tptp.empty_set)))))) % 2.02/2.29 (assume @p119 (forall @t11 (=> @t9 (forall @t22 (=> @t59 (=> (tptp.subset @t45 @t98) (= (tptp.relation_rng (tptp.relation_composition @t2 @t1)) @t50))))))) % 2.02/2.29 (assume @p120 (forall @t6 (=> @t69 (=> @t108 (= (tptp.subset_difference @t1 @t46 @t72) (tptp.meet_of_subsets @t1 @t67)))))) % 2.02/2.29 (assume @p121 (forall @t6 (=> @t69 (=> @t108 (= (tptp.union_of_subsets @t1 @t67) (tptp.subset_difference @t1 @t46 @t73)))))) % 2.02/2.29 (assume @p122 (forall @t6 (= (tptp.set_difference @t1 @t47) @t15))) % 2.02/2.29 (assume @p123 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 2.02/2.29 (assume @p124 (forall @t38 (=> (and @t5 @t109) (tptp.element @t1 @t19)))) % 2.02/2.29 (assume @p125 (forall @t6 (and (not (and @t104 (forall @t30 (not @t110)))) (not (and (exists @t30 @t110) @t64))))) % 2.02/2.29 (assume @p126 (forall @t11 (=> @t31 (forall @t22 (=> @t52 (forall @t30 (=> (tptp.element @t19 @t1) (=> @t89 (tptp.in @t19 @t51))))))))) % 2.02/2.29 (assume @p127 (forall @t38 (=> @t75 (not (and (tptp.in @t2 @t105) @t101))))) % 2.02/2.29 (assume @p128 @t116) % 2.02/2.29 (assume @p129 (forall @t38 (not (and @t5 @t109 (tptp.empty @t19))))) % 2.02/2.29 (assume @p130 (forall @t6 (not (and @t16 @t7)))) % 2.02/2.29 (assume @p131 (forall @t38 (=> (and @t16 @t106) (tptp.disjoint @t1 @t19)))) % 2.02/2.29 (assume @p132 (forall @t6 (= (= (tptp.set_difference @t1 @t81) @t1) @t4))) % 2.02/2.29 (assume @p133 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t32))) % 2.02/2.29 (assume @p134 (forall @t11 (=> @t10 @t25))) % 2.02/2.29 (assume @p135 (forall @t6 (=> (tptp.subset @t32 @t81) @t17))) % 2.02/2.29 (assume @p136 @t117) % 2.02/2.29 (assume @p137 (forall @t6 (tptp.subset @t1 @t14))) % 2.02/2.29 (assume @p138 (forall @t6 (= @t64 (= @t47 @t1)))) % 2.02/2.29 (assume @p139 (forall @t6 (not (and @t10 @t70 @t34)))) % 2.02/2.29 (assume @p140 (forall @t38 (=> (and @t16 @t90) (tptp.subset (tptp.set_union2 @t1 @t19) @t2)))) % 2.02/2.29 (assume @p141 (forall @t38 (=> @t118 @t17))) % 2.02/2.29 (assume @p142 (forall @t11 (= (tptp.union @t33) @t1))) % 2.02/2.29 (assume @p143 (forall @t11 (exists @t22 (and @t5 @t93 (forall @t30 (not (and @t29 (forall @t28 (not (and @t39 (forall (@list @t41) (=> (tptp.subset @t41 @t19) (tptp.in @t41 @t18))))))))) @t91)))) % 2.02/2.29 (assume @p144 (forall @t38 (=> @t118 (= @t2 @t19)))) % 2.02/2.29 (step @p145 :rule eq-symm :args (@t120 @t121)) % 2.02/2.29 (step @p146 :rule refl :args (@t121)) % 2.02/2.29 (step @p147 :rule eq-symm :args (@t119 @t56)) % 2.02/2.29 (step @p148 :rule cong :premises (@p147 @p146) :args (@t122)) % 2.02/2.29 (step @p149 :rule trans :premises (@p148 @p145)) % 2.02/2.29 (step @p150 :rule refl :args (@t123)) % 2.02/2.29 (step @p151 :rule refl :args (@t124)) % 2.02/2.29 (step @p152 :rule nary_cong :premises (@p151 @p150 @p149) :args (@t125)) % 2.02/2.29 (step @p153 :rule aci_norm :args ((= @t127 @t125))) % 2.02/2.29 (step @p154 :rule trans :premises (@p153 @p152)) % 2.02/2.29 (step @p155 :rule cong :premises (@p154) :args (@t129)) % 2.02/2.29 (step @p156 :rule quant-merge-prenex :args ((= (forall @t11 @t131) @t129))) % 2.02/2.29 (step @p157 :rule alpha_equiv :args (@t132 (@list @t119) (@list @t2))) % 2.02/2.29 (step @p158 :rule refl :args (@t124)) % 2.02/2.29 (step @p159 :rule nary_cong :premises (@p158 @p157) :args (@t133)) % 2.02/2.29 (step @p160 :rule quant-miniscope-or :args ((= @t131 @t133))) % 2.02/2.29 (step @p161 :rule trans :premises (@p160 @p159)) % 2.02/2.29 (step @p162 :rule symm :premises (@p161)) % 2.02/2.29 (step @p163 :rule cong :premises (@p162) :args ((forall @t11 (or @t124 @t135)))) % 2.02/2.29 (step @p164 :rule trans :premises (@p163 @p156)) % 2.02/2.29 (step @p165 :rule trans :premises (@p164 @p155)) % 2.02/2.29 (step @p166 :rule bool-impl-elim :args (@t9 @t135)) % 2.02/2.29 (step @p167 :rule cong :premises (@p166) :args ((forall @t11 (=> @t9 @t135)))) % 2.02/2.29 (step @p168 :rule trans :premises (@p167 @p165)) % 2.02/2.29 (step @p169 :rule bool-impl-elim :args (@t59 @t134)) % 2.02/2.29 (step @p170 :rule cong :premises (@p169) :args ((forall @t22 (=> @t59 @t134)))) % 2.02/2.29 (step @p171 :rule eq-symm :args (@t54 @t49)) % 2.02/2.29 (step @p172 :rule cong :premises (@p171) :args (@t55)) % 2.02/2.29 (step @p173 :rule refl :args (@t57)) % 2.02/2.29 (step @p174 :rule cong :premises (@p173 @p172) :args (@t58)) % 2.02/2.29 (step @p175 :rule refl :args (@t59)) % 2.02/2.29 (step @p176 :rule cong :premises (@p175 @p174) :args (@t60)) % 2.02/2.29 (step @p177 :rule cong :premises (@p176) :args (@t61)) % 2.02/2.29 (step @p178 :rule trans :premises (@p177 @p170)) % 2.02/2.29 (step @p179 :rule refl :args (@t9)) % 2.02/2.29 (step @p180 :rule cong :premises (@p179 @p178) :args (@t62)) % 2.02/2.29 (step @p181 :rule cong :premises (@p180) :args (@t63)) % 2.02/2.29 (step @p182 :rule trans :premises (@p181 @p168)) % 2.02/2.29 (step @p183 :rule eq_resolve :premises (@p27 @p182)) % 2.02/2.29 (step @p184 :rule eq-symm :args (@t140 tptp.empty_set)) % 2.02/2.29 (step @p185 :rule eq-symm :args (@t141 @t142)) % 2.02/2.29 (step @p186 :rule cong :premises (@p185) :args (@t143)) % 2.02/2.29 (step @p187 :rule cong :premises (@p186 @p184) :args (@t144)) % 2.02/2.29 (step @p188 :rule refl :args (@t145)) % 2.02/2.29 (step @p189 :rule refl :args (@t147)) % 2.02/2.29 (step @p190 :rule nary_cong :premises (@p189 @p188 @p187) :args (@t148)) % 2.02/2.29 (step @p191 :rule refl :args (@t149)) % 2.02/2.29 (step @p192 :rule cong :premises (@p191 @p190) :args ((=> @t149 @t148))) % 2.02/2.29 (assume-push @p342 @t149) % 2.02/2.29 (step @p194 :rule instantiate :premises (@p183) :args ((@list @t139 tptp.empty_set))) % 2.02/2.29 (step-pop @p343 :rule scope :premises (@p194)) % 2.02/2.29 (step @p195 :rule process_scope :premises (@p343) :args (@t148)) % 2.02/2.29 (step @p197 :rule eq_resolve :premises (@p195 @p192)) % 2.02/2.29 (step @p198 :rule implies_elim :premises (@p197)) % 2.02/2.29 (step @p199 :rule chain_m_resolution :premises (@p198 @p183) :args (@t153 @t154 @t155)) % 2.02/2.29 (step @p200 :rule aci_norm :args ((= (or @t124 (or @t136 @t25)) @t137))) % 2.02/2.29 (step @p201 :rule bool-impl-elim :args (@t113 @t25)) % 2.02/2.29 (step @p202 :rule nary_cong :premises (@p158 @p201) :args ((or @t124 @t114))) % 2.02/2.29 (step @p203 :rule trans :premises (@p202 @p200)) % 2.02/2.29 (step @p204 :rule bool-impl-elim :args (@t9 @t114)) % 2.02/2.29 (step @p205 :rule trans :premises (@p204 @p203)) % 2.02/2.29 (step @p206 :rule cong :premises (@p205) :args (@t115)) % 2.02/2.29 (step @p207 :rule cong :premises (@p206) :args (@t116)) % 2.02/2.29 (step @p208 :rule eq_resolve :premises (@p128 @p207)) % 2.02/2.29 (step @p209 :rule refl :args (@t160)) % 2.02/2.29 (step @p210 :rule bool-double-not-elim :args (@t138)) % 2.02/2.29 (step @p211 :rule nary_cong :premises (@p210 @p209) :args ((or (not @t161) @t160))) % 2.02/2.29 (step @p212 :rule eq-symm :args (@t139 tptp.empty_set)) % 2.02/2.29 (step @p213 :rule refl :args (@t158)) % 2.02/2.29 (step @p214 :rule nary_cong :premises (@p189 @p213 @p212) :args (@t162)) % 2.02/2.29 (step @p215 :rule cong :premises (@p214) :args (@t163)) % 2.02/2.29 (step @p216 :rule refl :args (@t161)) % 2.02/2.29 (step @p217 :rule cong :premises (@p216 @p215) :args ((=> @t161 @t163))) % 2.02/2.29 (assume-push @p344 @t161) % 2.02/2.29 (step @p219 :rule skolemize :premises (@p208)) % 2.02/2.29 (step-pop @p345 :rule scope :premises (@p219)) % 2.02/2.29 (step @p220 :rule process_scope :premises (@p345) :args (@t163)) % 2.02/2.29 (step @p222 :rule eq_resolve :premises (@p220 @p217)) % 2.02/2.29 (step @p223 :rule implies_elim :premises (@p222)) % 2.02/2.29 (step @p224 :rule eq_resolve :premises (@p223 @p211)) % 2.02/2.29 (step @p225 :rule chain_m_resolution :premises (@p224 @p208) :args (@t160 @t164 (@list @t138))) % 2.02/2.29 (step @p226 :rule bool-double-not-elim :args (@t146)) % 2.02/2.29 (step @p227 :rule refl :args (@t159)) % 2.02/2.29 (step @p228 :rule nary_cong :premises (@p227 @p226) :args ((or @t159 (not @t147)))) % 2.02/2.29 (step @p229 :rule cnf_or_neg :args (@t159 0)) % 2.02/2.29 (step @p230 :rule eq_resolve :premises (@p229 @p228)) % 2.02/2.29 (step @p231 :rule reordering :premises (@p230) :args ((or @t146 @t159))) % 2.02/2.29 (step @p232 :rule chain_m_resolution :premises (@p231 @p225) :args (@t146 @t164 @t165)) % 2.02/2.29 (step @p233 :rule and_elim :premises (@p50) :args (1)) % 2.02/2.29 (step @p234 :rule cnf_or_pos :args (@t153)) % 2.02/2.29 (step @p235 :rule reordering :premises (@p234) :args ((or @t145 @t147 @t152 (not @t153)))) % 2.02/2.29 (step @p236 :rule chain_m_resolution :premises (@p235 @p233 @p232 @p199) :args (@t152 (@list false false false) (@list @t78 @t146 @t153))) % 2.02/2.29 (step @p237 :rule eq-symm :args (@t140 @t139)) % 2.02/2.29 (step @p238 :rule refl :args (@t166)) % 2.02/2.29 (step @p239 :rule cong :premises (@p238 @p237) :args (@t167)) % 2.02/2.29 (step @p240 :rule nary_cong :premises (@p189 @p189 @p239) :args (@t168)) % 2.02/2.29 (step @p241 :rule cong :premises (@p191 @p240) :args ((=> @t149 @t168))) % 2.02/2.29 (assume-push @p346 @t149) % 2.02/2.29 (step @p243 :rule instantiate :premises (@p183) :args ((@list @t139 @t139))) % 2.02/2.29 (step-pop @p347 :rule scope :premises (@p243)) % 2.02/2.29 (step @p244 :rule process_scope :premises (@p347) :args (@t168)) % 2.02/2.29 (step @p246 :rule eq_resolve :premises (@p244 @p241)) % 2.02/2.29 (step @p247 :rule implies_elim :premises (@p246)) % 2.02/2.29 (step @p248 :rule chain_m_resolution :premises (@p247 @p183) :args (@t171 @t154 @t155)) % 2.02/2.29 (step @p249 :rule cnf_or_pos :args (@t171)) % 2.02/2.29 (step @p250 :rule factoring :premises (@p249)) % 2.02/2.29 (step @p251 :rule reordering :premises (@p250) :args ((or @t147 @t170 (not @t171)))) % 2.02/2.29 (step @p252 :rule chain_m_resolution :premises (@p251 @p232 @p248) :args (@t170 @t172 (@list @t146 @t171))) % 2.02/2.29 (step @p253 :rule bool-double-not-elim :args (@t157)) % 2.02/2.29 (step @p254 :rule nary_cong :premises (@p227 @p253) :args ((or @t159 (not @t158)))) % 2.02/2.29 (step @p255 :rule cnf_or_neg :args (@t159 1)) % 2.02/2.29 (step @p256 :rule eq_resolve :premises (@p255 @p254)) % 2.02/2.29 (step @p257 :rule reordering :premises (@p256) :args ((or @t157 @t159))) % 2.02/2.29 (step @p258 :rule chain_m_resolution :premises (@p257 @p225) :args (@t157 @t164 @t165)) % 2.02/2.29 (step @p259 :rule instantiate :premises (@p258) :args ((@list @t174 @t173))) % 2.02/2.29 (step @p260 :rule instantiate :premises (@p258) :args ((@list @t173 @t174))) % 2.02/2.29 (step @p261 :rule cnf_equiv_neg1 :args (@t177)) % 2.02/2.29 (step @p262 :rule reordering :premises (@p261) :args ((or @t176 @t175 @t177))) % 2.02/2.29 (step @p263 :rule chain_m_resolution :premises (@p262 @p260 @p259) :args (@t177 (@list true true) (@list @t176 @t175))) % 2.02/2.29 (step @p264 :rule refl :args (@t178)) % 2.02/2.29 (step @p265 :rule bool-double-not-elim :args (@t166)) % 2.02/2.29 (step @p266 :rule nary_cong :premises (@p265 @p264) :args ((or (not @t179) @t178))) % 2.02/2.29 (assume-push @p348 @t179) % 2.02/2.29 (step @p268 :rule skolemize :premises (@p348)) % 2.02/2.29 (step-pop @p349 :rule scope :premises (@p268)) % 2.02/2.29 (step @p269 :rule process_scope :premises (@p349) :args (@t178)) % 2.02/2.29 (step @p271 :rule implies_elim :premises (@p269)) % 2.02/2.29 (step @p272 :rule eq_resolve :premises (@p271 @p266)) % 2.02/2.29 (step @p273 :rule chain_m_resolution :premises (@p272 @p263) :args (@t166 @t154 (@list @t177))) % 2.02/2.29 (step @p274 :rule cnf_equiv_pos1 :args (@t170)) % 2.02/2.29 (step @p275 :rule reordering :premises (@p274) :args ((or @t169 @t179 (not @t170)))) % 2.02/2.29 (step @p276 :rule chain_m_resolution :premises (@p275 @p273 @p252) :args (@t169 @t172 (@list @t166 @t170))) % 2.02/2.29 (step @p277 :rule cnf_or_neg :args (@t159 2)) % 2.02/2.29 (step @p278 :rule chain_m_resolution :premises (@p277 @p225) :args (@t180 @t164 @t165)) % 2.02/2.29 (step @p279 :rule refl :args (@t181)) % 2.02/2.29 (step @p280 :rule refl :args (@t182)) % 2.02/2.29 (step @p281 :rule bool-double-not-elim :args (@t156)) % 2.02/2.29 (step @p282 :rule nary_cong :premises (@p281 @p280 @p279) :args ((or (not @t180) @t182 @t181))) % 2.02/2.29 (assume-push @p350 @t180) % 2.02/2.29 (assume-push @p351 @t169) % 2.02/2.29 (assume-push @p352 @t180) % 2.02/2.29 (assume-push @p353 @t169) % 2.02/2.29 (step @p287 :rule false_intro :premises (@p278)) % 2.02/2.29 (step @p288 :rule symm :premises (@p351)) % 2.02/2.29 (step @p289 :rule refl :args (tptp.empty_set)) % 2.02/2.29 (step @p290 :rule cong :premises (@p289 @p288) :args (@t150)) % 2.02/2.29 (step @p291 :rule trans :premises (@p290 @p287)) % 2.02/2.29 (step @p292 :rule false_elim :premises (@p291)) % 2.02/2.29 (step-pop @p354 :rule scope :premises (@p292)) % 2.02/2.29 (step-pop @p355 :rule scope :premises (@p354)) % 2.02/2.29 (step @p293 :rule process_scope :premises (@p355) :args (@t181)) % 2.02/2.29 (step @p296 :rule and_intro :premises (@p278 @p351)) % 2.02/2.29 (step @p297 :rule modus_ponens :premises (@p296 @p293)) % 2.02/2.29 (step-pop @p356 :rule scope :premises (@p297)) % 2.02/2.29 (step-pop @p357 :rule scope :premises (@p356)) % 2.02/2.29 (step @p298 :rule process_scope :premises (@p357) :args (@t181)) % 2.02/2.29 (step @p301 :rule implies_elim :premises (@p298)) % 2.02/2.29 (step @p302 :rule cnf_and_neg :args (@t183)) % 2.02/2.29 (step @p303 :rule resolution :premises (@p302 @p301) :args (true @t183)) % 2.02/2.29 (step @p304 :rule eq_resolve :premises (@p303 @p282)) % 2.02/2.29 (step @p305 :rule chain_m_resolution :premises (@p304 @p278 @p276) :args (@t181 @t184 (@list @t156 @t169))) % 2.02/2.29 (step @p306 :rule cnf_equiv_pos1 :args (@t152)) % 2.02/2.29 (step @p307 :rule reordering :premises (@p306) :args ((or @t150 @t185 (not @t152)))) % 2.02/2.29 (step @p308 :rule chain_m_resolution :premises (@p307 @p305 @p236) :args (@t185 @t184 (@list @t150 @t152))) % 2.02/2.29 (step @p309 :rule refl :args (@t192)) % 2.02/2.29 (step @p310 :rule bool-double-not-elim :args (@t151)) % 2.02/2.29 (step @p311 :rule nary_cong :premises (@p310 @p309) :args ((or (not @t185) @t192))) % 2.02/2.29 (assume-push @p358 @t185) % 2.02/2.29 (step @p313 :rule skolemize :premises (@p358)) % 2.02/2.29 (step-pop @p359 :rule scope :premises (@p313)) % 2.02/2.29 (step @p314 :rule process_scope :premises (@p359) :args (@t192)) % 2.02/2.29 (step @p316 :rule implies_elim :premises (@p314)) % 2.02/2.29 (step @p317 :rule eq_resolve :premises (@p316 @p311)) % 2.02/2.29 (step @p318 :rule chain_m_resolution :premises (@p317 @p308) :args (@t192 @t164 (@list @t151))) % 2.02/2.29 (step @p319 :rule bool-and-de-morgan :args (@t5 @t34 true)) % 2.02/2.29 (step @p320 :rule cong :premises (@p319) :args (@t117)) % 2.02/2.29 (step @p321 :rule eq_resolve :premises (@p136 @p320)) % 2.02/2.29 (step @p322 :rule instantiate :premises (@p321) :args ((@list @t189 tptp.empty_set))) % 2.02/2.29 (step @p323 :rule cnf_or_pos :args (@t195)) % 2.02/2.29 (step @p324 :rule reordering :premises (@p323) :args ((or @t193 @t194 (not @t195)))) % 2.02/2.29 (step @p325 :rule chain_m_resolution :premises (@p324 @p43 @p322) :args (@t194 @t172 (@list @t77 @t195))) % 2.02/2.29 (step @p326 :rule eq-symm :args (@t196 @t188)) % 2.02/2.29 (step @p327 :rule cong :premises (@p238 @p326) :args ((=> @t166 @t197))) % 2.02/2.29 (assume-push @p360 @t166) % 2.02/2.29 (step @p329 :rule instantiate :premises (@p360) :args ((@list @t187 @t186))) % 2.02/2.29 (step-pop @p361 :rule scope :premises (@p329)) % 2.02/2.29 (step @p330 :rule process_scope :premises (@p361) :args (@t197)) % 2.02/2.29 (step @p332 :rule eq_resolve :premises (@p330 @p327)) % 2.02/2.29 (step @p333 :rule implies_elim :premises (@p332)) % 2.02/2.29 (step @p334 :rule chain_m_resolution :premises (@p333 @p273) :args (@t198 @t154 (@list @t166))) % 2.02/2.29 (step @p335 :rule instantiate :premises (@p258) :args ((@list @t186 @t187))) % 2.02/2.29 (step @p336 :rule cnf_equiv_pos1 :args (@t198)) % 2.02/2.29 (step @p337 :rule reordering :premises (@p336) :args ((or @t199 @t196 (not @t198)))) % 2.02/2.29 (step @p338 :rule chain_m_resolution :premises (@p337 @p335 @p334) :args (@t199 @t184 (@list @t196 @t198))) % 2.02/2.29 (step @p339 :rule cnf_equiv_neg1 :args (@t191)) % 2.02/2.29 (step @p340 :rule reordering :premises (@p339) :args ((or @t190 @t188 @t191))) % 2.02/2.29 (step @p341 false :rule chain_m_resolution :premises (@p340 @p338 @p325 @p318) :args (false (@list true true true) (@list @t188 @t190 @t191))) % 0.36/2.30 ) % 0.36/2.30 % SZS output end Proof % 0.36/2.30 % cvc5 exiting %------------------------------------------------------------------------------