%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU208+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 : n027.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 08:50:57 AM UTC 2026 % Result : Theorem 158.08s 158.48s % Output : Proof 158.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU208+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n027.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:39:36 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.53 %----Proving TF0_NAR, FOF, or CNF % 158.08/158.48 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 158.08/158.48 --- Run --no-e-matching --full-saturate-quant at 6... % 158.08/158.48 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 158.08/158.48 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 158.08/158.48 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 158.08/158.48 --- Run --trigger-sel=max --full-saturate-quant at 15... % 158.08/158.48 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 158.08/158.48 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 158.08/158.48 --- Run --prenex-quant=none --full-saturate-quant at 30... % 158.08/158.48 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 158.08/158.48 % SZS status Theorem % 158.08/158.48 % SZS output start Proof % 158.08/158.48 ( % 158.08/158.48 (declare-sort $$unsorted 0) % 158.08/158.48 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 158.08/158.48 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 158.08/158.48 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 158.08/158.48 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 158.08/158.48 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.relation (-> $$unsorted Bool)) % 158.08/158.48 (declare-const tptp.empty_set $$unsorted) % 158.08/158.48 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.empty (-> $$unsorted Bool)) % 158.08/158.48 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 158.08/158.48 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 158.08/158.48 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 158.08/158.48 (define @t1 () (@var "A" $$unsorted)) % 158.08/158.48 (define @t2 () (@var "B" $$unsorted)) % 158.08/158.48 (define @t3 () (tptp.in @t2 @t1)) % 158.08/158.48 (define @t4 () (not @t3)) % 158.08/158.48 (define @t5 () (tptp.in @t1 @t2)) % 158.08/158.48 (define @t6 () (@list @t1 @t2)) % 158.08/158.48 (define @t7 () (tptp.proper_subset @t2 @t1)) % 158.08/158.48 (define @t8 () (tptp.proper_subset @t1 @t2)) % 158.08/158.48 (define @t9 () (tptp.relation @t1)) % 158.08/158.48 (define @t10 () (tptp.empty @t1)) % 158.08/158.48 (define @t11 () (@list @t1)) % 158.08/158.48 (define @t12 () (tptp.unordered_pair @t1 @t2)) % 158.08/158.48 (define @t13 () (tptp.set_union2 @t2 @t1)) % 158.08/158.48 (define @t14 () (tptp.set_union2 @t1 @t2)) % 158.08/158.48 (define @t15 () (tptp.set_intersection2 @t1 @t2)) % 158.08/158.48 (define @t16 () (@var "D" $$unsorted)) % 158.08/158.48 (define @t17 () (@var "C" $$unsorted)) % 158.08/158.48 (define @t18 () (tptp.in @t17 @t1)) % 158.08/158.48 (define @t19 () (tptp.ordered_pair @t17 @t16)) % 158.08/158.48 (define @t20 () (tptp.in @t19 @t2)) % 158.08/158.48 (define @t21 () (@list @t17 @t16)) % 158.08/158.48 (define @t22 () (tptp.identity_relation @t1)) % 158.08/158.48 (define @t23 () (tptp.relation @t2)) % 158.08/158.48 (define @t24 () (tptp.subset @t1 @t2)) % 158.08/158.48 (define @t25 () (= @t1 @t2)) % 158.08/158.48 (define @t26 () (@var "E" $$unsorted)) % 158.08/158.48 (define @t27 () (tptp.ordered_pair @t16 @t26)) % 158.08/158.48 (define @t28 () (tptp.in @t27 @t1)) % 158.08/158.48 (define @t29 () (tptp.in @t16 @t2)) % 158.08/158.48 (define @t30 () (tptp.in @t27 @t17)) % 158.08/158.48 (define @t31 () (@list @t16 @t26)) % 158.08/158.48 (define @t32 () (tptp.relation_dom_restriction @t1 @t2)) % 158.08/158.48 (define @t33 () (tptp.relation @t17)) % 158.08/158.48 (define @t34 () (@list @t2 @t17)) % 158.08/158.48 (define @t35 () (tptp.in @t26 @t1)) % 158.08/158.48 (define @t36 () (tptp.relation_rng_restriction @t1 @t2)) % 158.08/158.48 (define @t37 () (@list @t17)) % 158.08/158.48 (define @t38 () (tptp.in @t26 @t2)) % 158.08/158.48 (define @t39 () (@list @t26)) % 158.08/158.48 (define @t40 () (tptp.in @t16 @t17)) % 158.08/158.48 (define @t41 () (@list @t16)) % 158.08/158.48 (define @t42 () (and @t28 @t38)) % 158.08/158.48 (define @t43 () (exists @t39 @t42)) % 158.08/158.48 (define @t44 () (= @t40 @t43)) % 158.08/158.48 (define @t45 () (forall @t41 @t44)) % 158.08/158.48 (define @t46 () (= @t17 (tptp.relation_inverse_image @t1 @t2))) % 158.08/158.48 (define @t47 () (= @t46 @t45)) % 158.08/158.48 (define @t48 () (forall @t34 @t47)) % 158.08/158.48 (define @t49 () (=> @t9 @t48)) % 158.08/158.48 (define @t50 () (forall @t11 @t49)) % 158.08/158.48 (define @t51 () (@list @t2)) % 158.08/158.48 (define @t52 () (= @t2 tptp.empty_set)) % 158.08/158.48 (define @t53 () (= @t2 (tptp.set_meet @t1))) % 158.08/158.48 (define @t54 () (= @t1 tptp.empty_set)) % 158.08/158.48 (define @t55 () (tptp.in @t17 @t16)) % 158.08/158.48 (define @t56 () (tptp.in @t16 @t1)) % 158.08/158.48 (define @t57 () (tptp.in @t17 @t2)) % 158.08/158.48 (define @t58 () (not @t54)) % 158.08/158.48 (define @t59 () (tptp.singleton @t1)) % 158.08/158.48 (define @t60 () (tptp.powerset @t1)) % 158.08/158.48 (define @t61 () (tptp.in @t19 @t1)) % 158.08/158.48 (define @t62 () (tptp.empty @t2)) % 158.08/158.48 (define @t63 () (tptp.element @t2 @t1)) % 158.08/158.48 (define @t64 () (not @t10)) % 158.08/158.48 (define @t65 () (@list @t1 @t2 @t17)) % 158.08/158.48 (define @t66 () (@var "F" $$unsorted)) % 158.08/158.48 (define @t67 () (tptp.cartesian_product2 @t1 @t2)) % 158.08/158.48 (define @t68 () (forall @t37 (=> @t18 @t57))) % 158.08/158.48 (define @t69 () (tptp.relation_dom @t1)) % 158.08/158.48 (define @t70 () (tptp.cast_to_subset @t1)) % 158.08/158.48 (define @t71 () (not @t29)) % 158.08/158.48 (define @t72 () (tptp.set_difference @t1 @t2)) % 158.08/158.48 (define @t73 () (tptp.in (tptp.ordered_pair @t16 @t17) @t1)) % 158.08/158.48 (define @t74 () (tptp.relation_rng @t1)) % 158.08/158.48 (define @t75 () (tptp.subset_complement @t1 @t2)) % 158.08/158.48 (define @t76 () (tptp.element @t2 @t60)) % 158.08/158.48 (define @t77 () (tptp.ordered_pair @t1 @t2)) % 158.08/158.48 (define @t78 () (tptp.relation_inverse @t1)) % 158.08/158.48 (define @t79 () (tptp.disjoint @t1 @t2)) % 158.08/158.48 (define @t80 () (tptp.relation_composition @t1 @t2)) % 158.08/158.48 (define @t81 () (tptp.complements_of_subsets @t1 @t2)) % 158.08/158.48 (define @t82 () (tptp.powerset @t60)) % 158.08/158.48 (define @t83 () (tptp.element @t2 @t82)) % 158.08/158.48 (define @t84 () (not @t25)) % 158.08/158.48 (define @t85 () (tptp.relation @t80)) % 158.08/158.48 (define @t86 () (and @t9 @t23)) % 158.08/158.48 (define @t87 () (tptp.union_of_subsets @t1 @t2)) % 158.08/158.48 (define @t88 () (tptp.meet_of_subsets @t1 @t2)) % 158.08/158.48 (define @t89 () (tptp.subset_difference @t1 @t2 @t17)) % 158.08/158.48 (define @t90 () (tptp.element @t17 @t60)) % 158.08/158.48 (define @t91 () (and @t76 @t90)) % 158.08/158.48 (define @t92 () (tptp.relation_composition @t2 @t1)) % 158.08/158.48 (define @t93 () (and @t10 @t23)) % 158.08/158.48 (define @t94 () (tptp.empty tptp.empty_set)) % 158.08/158.48 (define @t95 () (not @t62)) % 158.08/158.48 (define @t96 () (tptp.empty @t69)) % 158.08/158.48 (define @t97 () (and @t64 @t9)) % 158.08/158.48 (define @t98 () (tptp.empty @t74)) % 158.08/158.48 (define @t99 () (tptp.disjoint @t59 @t2)) % 158.08/158.48 (define @t100 () (tptp.singleton @t2)) % 158.08/158.48 (define @t101 () (tptp.union @t2)) % 158.08/158.48 (define @t102 () (tptp.in @t1 @t17)) % 158.08/158.48 (define @t103 () (@list @t1 @t2 @t17 @t16)) % 158.08/158.48 (define @t104 () (tptp.element @t1 (tptp.powerset @t2))) % 158.08/158.48 (define @t105 () (tptp.set_difference @t2 @t17)) % 158.08/158.48 (define @t106 () (= @t1 @t17)) % 158.08/158.48 (define @t107 () (tptp.relation_rng @t17)) % 158.08/158.48 (define @t108 () (tptp.relation_rng @t36)) % 158.08/158.48 (define @t109 () (tptp.relation_rng @t2)) % 158.08/158.48 (define @t110 () (tptp.cartesian_product2 @t1 @t17)) % 158.08/158.48 (define @t111 () (not @t57)) % 158.08/158.48 (define @t112 () (tptp.subset @t17 @t2)) % 158.08/158.48 (define @t113 () (forall @t37 (not (and @t112 (not (tptp.are_equipotent @t17 @t2)) @t111)))) % 158.08/158.48 (define @t114 () (tptp.powerset @t17)) % 158.08/158.48 (define @t115 () (forall @t21 (=> (and @t57 (tptp.subset @t16 @t17)) @t29))) % 158.08/158.48 (define @t116 () (tptp.relation_dom_restriction @t17 @t2)) % 158.08/158.48 (define @t117 () (tptp.relation_dom @t17)) % 158.08/158.48 (define @t118 () (tptp.relation_image @t2 @t1)) % 158.08/158.48 (define @t119 () (tptp.relation_dom @t2)) % 158.08/158.48 (define @t120 () (tptp.set_intersection2 @t119 @t1)) % 158.08/158.48 (define @t121 () (tptp.relation_rng @t80)) % 158.08/158.48 (define @t122 () (tptp.in (tptp.ordered_pair @t1 @t16) @t17)) % 158.08/158.48 (define @t123 () (tptp.in @t16 @t107)) % 158.08/158.48 (define @t124 () (and @t123 @t122 @t29)) % 158.08/158.48 (define @t125 () (exists @t41 @t124)) % 158.08/158.48 (define @t126 () (tptp.in @t1 (tptp.relation_inverse_image @t17 @t2))) % 158.08/158.48 (define @t127 () (= @t126 @t125)) % 158.08/158.48 (define @t128 () (=> @t33 @t127)) % 158.08/158.48 (define @t129 () (forall @t65 @t128)) % 158.08/158.48 (define @t130 () (not @t129)) % 158.08/158.48 (define @t131 () (tptp.set_intersection2 @t2 @t17)) % 158.08/158.48 (define @t132 () (tptp.subset @t1 @t17)) % 158.08/158.48 (define @t133 () (tptp.element @t1 @t2)) % 158.08/158.48 (define @t134 () (tptp.in @t1 @t117)) % 158.08/158.48 (define @t135 () (and @t134 (tptp.in @t2 @t107))) % 158.08/158.48 (define @t136 () (tptp.in @t77 @t17)) % 158.08/158.48 (define @t137 () (=> @t136 @t135)) % 158.08/158.48 (define @t138 () (forall @t65 (=> @t33 @t137))) % 158.08/158.48 (define @t139 () (tptp.relation_field @t17)) % 158.08/158.48 (define @t140 () (tptp.in @t2 @t17)) % 158.08/158.48 (define @t141 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 158.08/158.48 (define @t142 () (and @t18 @t57)) % 158.08/158.48 (define @t143 () (not @t79)) % 158.08/158.48 (define @t144 () (tptp.subset_complement @t1 @t17)) % 158.08/158.48 (define @t145 () (tptp.disjoint @t2 @t17)) % 158.08/158.48 (define @t146 () (tptp.relation_dom @t80)) % 158.08/158.48 (define @t147 () (not @t52)) % 158.08/158.48 (define @t148 () (tptp.element @t2 @t114)) % 158.08/158.48 (define @t149 () (tptp.in @t17 @t15)) % 158.08/158.48 (define @t150 () (= @t74 tptp.empty_set)) % 158.08/158.48 (define @t151 () (= @t69 tptp.empty_set)) % 158.08/158.48 (define @t152 () (tptp.relation_dom_restriction @t2 @t1)) % 158.08/158.48 (define @t153 () (= @t59 (tptp.unordered_pair @t2 @t17))) % 158.08/158.48 (define @t154 () (@var "BOUND_VARIABLE_8535" $$unsorted)) % 158.08/158.48 (define @t155 () (not @t28)) % 158.08/158.48 (define @t156 () (@var "BOUND_VARIABLE_8537" $$unsorted)) % 158.08/158.48 (define @t157 () (= (= @t156 (tptp.relation_inverse_image @t1 @t154)) (forall @t41 (= (tptp.in @t16 @t156) (not (forall @t39 (or @t155 (not (tptp.in @t26 @t154))))))))) % 158.08/158.48 (define @t158 () (not @t9)) % 158.08/158.48 (define @t159 () (or @t158 @t157)) % 158.08/158.48 (define @t160 () (forall (@list @t1 @t154 @t156) @t159)) % 158.08/158.48 (define @t161 () (@list @t154 @t156)) % 158.08/158.48 (define @t162 () (forall @t161 @t159)) % 158.08/158.48 (define @t163 () (forall @t161 @t157)) % 158.08/158.48 (define @t164 () (or @t158 @t163)) % 158.08/158.48 (define @t165 () (forall @t34 (= @t46 (forall @t41 (= @t40 (not (forall @t39 (or @t155 (not @t38))))))))) % 158.08/158.48 (define @t166 () (forall @t39 (not @t42))) % 158.08/158.48 (define @t167 () (not @t166)) % 158.08/158.48 (define @t168 () (not @t122)) % 158.08/158.48 (define @t169 () (not @t123)) % 158.08/158.48 (define @t170 () (or @t169 @t168 @t71)) % 158.08/158.48 (define @t171 () (= @t126 (not (forall @t41 @t170)))) % 158.08/158.48 (define @t172 () (not @t33)) % 158.08/158.48 (define @t173 () (forall @t65 (or @t172 @t171))) % 158.08/158.48 (define @t174 () (@quantifiers_skolemize @t173 1)) % 158.08/158.48 (define @t175 () (not (tptp.in @t26 @t174))) % 158.08/158.48 (define @t176 () (@quantifiers_skolemize @t173 2)) % 158.08/158.48 (define @t177 () (tptp.relation_inverse_image @t176 @t174)) % 158.08/158.48 (define @t178 () (forall @t41 (= (tptp.in @t16 @t177) (not (forall @t39 (or (not (tptp.in @t27 @t176)) @t175)))))) % 158.08/158.48 (define @t179 () (= (= @t177 @t177) @t178)) % 158.08/158.48 (define @t180 () (tptp.relation @t176)) % 158.08/158.48 (define @t181 () (not @t180)) % 158.08/158.48 (define @t182 () (or @t181 @t179)) % 158.08/158.48 (define @t183 () (or @t181 @t178)) % 158.08/158.48 (define @t184 () (forall @t41 (not @t124))) % 158.08/158.48 (define @t185 () (not @t184)) % 158.08/158.48 (define @t186 () (@quantifiers_skolemize @t173 0)) % 158.08/158.48 (define @t187 () (tptp.relation_rng @t176)) % 158.08/158.48 (define @t188 () (forall @t41 (or (not (tptp.in @t16 @t187)) (not (tptp.in (tptp.ordered_pair @t186 @t16) @t176)) (not (tptp.in @t16 @t174))))) % 158.08/158.48 (define @t189 () (not @t188)) % 158.08/158.48 (define @t190 () (tptp.in @t186 @t177)) % 158.08/158.48 (define @t191 () (= @t190 @t189)) % 158.08/158.48 (define @t192 () (or @t181 @t191)) % 158.08/158.48 (define @t193 () (@list true)) % 158.08/158.48 (define @t194 () (@list @t192)) % 158.08/158.48 (define @t195 () (@list false false)) % 158.08/158.48 (define @t196 () (not @t190)) % 158.08/158.48 (define @t197 () (not @t189)) % 158.08/158.48 (define @t198 () (forall @t39 (or (not (tptp.in (tptp.ordered_pair @t186 @t26) @t176)) @t175))) % 158.08/158.48 (define @t199 () (not @t198)) % 158.08/158.48 (define @t200 () (= @t190 @t199)) % 158.08/158.48 (define @t201 () (not @t200)) % 158.08/158.48 (define @t202 () (@quantifiers_skolemize @t198 0)) % 158.08/158.48 (define @t203 () (tptp.in @t202 @t174)) % 158.08/158.48 (define @t204 () (not @t203)) % 158.08/158.48 (define @t205 () (tptp.in (tptp.ordered_pair @t186 @t202) @t176)) % 158.08/158.48 (define @t206 () (not @t205)) % 158.08/158.48 (define @t207 () (tptp.in @t202 @t187)) % 158.08/158.48 (define @t208 () (not @t207)) % 158.08/158.48 (define @t209 () (or @t208 @t206 @t204)) % 158.08/158.48 (define @t210 () (or @t206 @t204)) % 158.08/158.48 (define @t211 () (not @t210)) % 158.08/158.48 (define @t212 () (not @t199)) % 158.08/158.48 (define @t213 () (not @t136)) % 158.08/158.48 (define @t214 () (and (tptp.in @t186 (tptp.relation_dom @t176)) @t207)) % 158.08/158.48 (define @t215 () (or @t181 @t206 @t214)) % 158.08/158.48 (define @t216 () (@list true false)) % 158.08/158.48 (define @t217 () (@quantifiers_skolemize @t188 0)) % 158.08/158.48 (define @t218 () (tptp.in @t217 @t174)) % 158.08/158.48 (define @t219 () (not @t218)) % 158.08/158.48 (define @t220 () (tptp.in (tptp.ordered_pair @t186 @t217) @t176)) % 158.08/158.48 (define @t221 () (not @t220)) % 158.08/158.48 (define @t222 () (or (not (tptp.in @t217 @t187)) @t221 @t219)) % 158.08/158.48 (define @t223 () (not @t222)) % 158.08/158.48 (define @t224 () (@list @t222)) % 158.08/158.48 (define @t225 () (or @t221 @t219)) % 158.08/158.48 (define @t226 () (not @t225)) % 158.08/158.48 (assume @p1 (forall @t6 (=> @t5 @t4))) % 158.08/158.48 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 158.08/158.48 (assume @p3 (forall @t11 (=> @t10 @t9))) % 158.08/158.48 (assume @p4 (forall @t6 (= @t12 (tptp.unordered_pair @t2 @t1)))) % 158.08/158.48 (assume @p5 (forall @t6 (= @t14 @t13))) % 158.08/158.48 (assume @p6 (forall @t6 (= @t15 (tptp.set_intersection2 @t2 @t1)))) % 158.08/158.48 (assume @p7 (forall @t6 (=> @t23 (= (= @t2 @t22) (forall @t21 (= @t20 (and @t18 (= @t17 @t16)))))))) % 158.08/158.48 (assume @p8 (forall @t6 (= @t25 (and @t24 (tptp.subset @t2 @t1))))) % 158.08/158.48 (assume @p9 (forall @t11 (=> @t9 (forall @t34 (=> @t33 (= (= @t17 @t32) (forall @t31 (= @t30 (and @t29 @t28))))))))) % 158.08/158.48 (assume @p10 (forall @t6 (=> @t23 (forall @t37 (=> @t33 (= (= @t17 @t36) (forall @t31 (= @t30 (and @t35 (tptp.in @t27 @t2)))))))))) % 158.08/158.48 (assume @p11 (forall @t11 (=> @t9 (forall @t34 (= (= @t17 (tptp.relation_image @t1 @t2)) (forall @t41 (= @t40 (exists @t39 (and (tptp.in (tptp.ordered_pair @t26 @t16) @t1) @t38))))))))) % 158.08/158.48 (assume @p12 @t50) % 158.08/158.48 (assume @p13 (forall @t11 (= @t9 (forall @t51 (not (and @t3 (forall @t21 (not (= @t2 @t19))))))))) % 158.08/158.48 (assume @p14 (forall @t6 (and (=> @t58 (= @t53 (forall @t37 (= @t57 (forall @t41 (=> @t56 @t55)))))) (=> @t54 (= @t53 @t52))))) % 158.08/158.48 (assume @p15 (forall @t6 (= (= @t2 @t59) (forall @t37 (= @t57 (= @t17 @t1)))))) % 158.08/158.48 (assume @p16 (forall @t11 (= @t54 (forall @t51 @t4)))) % 158.08/158.48 (assume @p17 (forall @t6 (= (= @t2 @t60) (forall @t37 (= @t57 (tptp.subset @t17 @t1)))))) % 158.08/158.48 (assume @p18 (forall @t11 (=> @t9 (forall @t51 (=> @t23 (= @t25 (forall @t21 (= @t61 @t20)))))))) % 158.08/158.48 (assume @p19 (forall @t6 (and (=> @t64 (= @t63 @t3)) (=> @t10 (= @t63 @t62))))) % 158.08/158.48 (assume @p20 (forall @t65 (= (= @t17 @t12) (forall @t41 (= @t40 (or (= @t16 @t1) (= @t16 @t2))))))) % 158.08/158.48 (assume @p21 (forall @t65 (= (= @t17 @t14) (forall @t41 (= @t40 (or @t56 @t29)))))) % 158.08/158.48 (assume @p22 (forall @t65 (= (= @t17 @t67) (forall @t41 (= @t40 (exists (@list @t26 @t66) (and @t35 (tptp.in @t66 @t2) (= @t16 (tptp.ordered_pair @t26 @t66))))))))) % 158.08/158.48 (assume @p23 (forall @t11 (=> @t9 (forall @t51 (=> @t23 (= @t24 (forall @t21 (=> @t61 @t20)))))))) % 158.08/158.48 (assume @p24 (forall @t6 (= @t24 @t68))) % 158.08/158.48 (assume @p25 (forall @t65 (= (= @t17 @t15) (forall @t41 (= @t40 (and @t56 @t29)))))) % 158.08/158.48 (assume @p26 (forall @t11 (=> @t9 (forall @t51 (= (= @t2 @t69) (forall @t37 (= @t57 (exists @t41 @t61)))))))) % 158.08/158.48 (assume @p27 (forall @t11 (= @t70 @t1))) % 158.08/158.48 (assume @p28 (forall @t6 (= (= @t2 (tptp.union @t1)) (forall @t37 (= @t57 (exists @t41 (and @t55 @t56))))))) % 158.08/158.48 (assume @p29 (forall @t65 (= (= @t17 @t72) (forall @t41 (= @t40 (and @t56 @t71)))))) % 158.08/158.48 (assume @p30 (forall @t11 (=> @t9 (forall @t51 (= (= @t2 @t74) (forall @t37 (= @t57 (exists @t41 @t73)))))))) % 158.08/158.48 (assume @p31 (forall @t6 (=> @t76 (= @t75 @t72)))) % 158.08/158.48 (assume @p32 (forall @t6 (= @t77 (tptp.unordered_pair @t12 @t59)))) % 158.08/158.48 (assume @p33 (forall @t11 (=> @t9 (= (tptp.relation_field @t1) (tptp.set_union2 @t69 @t74))))) % 158.08/158.48 (assume @p34 (forall @t11 (=> @t9 (forall @t51 (=> @t23 (= (= @t2 @t78) (forall @t21 (= @t20 @t73)))))))) % 158.08/158.48 (assume @p35 (forall @t6 (= @t79 (= @t15 tptp.empty_set)))) % 158.08/158.48 (assume @p36 (forall @t11 (=> @t9 (forall @t51 (=> @t23 (forall @t37 (=> @t33 (= (= @t17 @t80) (forall @t31 (= @t30 (exists (@list @t66) (and (tptp.in (tptp.ordered_pair @t16 @t66) @t1) (tptp.in (tptp.ordered_pair @t66 @t26) @t2))))))))))))) % 158.08/158.48 (assume @p37 (forall @t6 (=> @t83 (forall @t37 (=> (tptp.element @t17 @t82) (= (= @t17 @t81) (forall @t41 (=> (tptp.element @t16 @t60) (= @t40 (tptp.in (tptp.subset_complement @t1 @t16) @t2)))))))))) % 158.08/158.48 (assume @p38 (forall @t6 (= @t8 (and @t24 @t84)))) % 158.08/158.48 (assume @p39 true) % 158.08/158.48 (assume @p40 (forall @t11 (tptp.element @t70 @t60))) % 158.08/158.48 (assume @p41 (forall @t6 (=> @t76 (tptp.element @t75 @t60)))) % 158.08/158.48 (assume @p42 (forall @t11 (=> @t9 (tptp.relation @t78)))) % 158.08/158.48 (assume @p43 (forall @t6 (=> @t86 @t85))) % 158.08/158.48 (assume @p44 (forall @t6 (=> @t83 (tptp.element @t87 @t60)))) % 158.08/158.48 (assume @p45 (forall @t11 (tptp.relation @t22))) % 158.08/158.48 (assume @p46 (forall @t6 (=> @t83 (tptp.element @t88 @t60)))) % 158.08/158.48 (assume @p47 (forall @t65 (=> @t91 (tptp.element @t89 @t60)))) % 158.08/158.48 (assume @p48 (forall @t6 (=> @t9 (tptp.relation @t32)))) % 158.08/158.48 (assume @p49 (forall @t6 (=> @t83 (tptp.element @t81 @t82)))) % 158.08/158.48 (assume @p50 (forall @t6 (=> @t23 (tptp.relation @t36)))) % 158.08/158.48 (assume @p51 (forall @t11 (exists @t51 @t63))) % 158.08/158.48 (assume @p52 (forall @t6 (=> @t93 (and (tptp.empty @t92) (tptp.relation @t92))))) % 158.08/158.48 (assume @p53 (forall @t6 (=> @t86 (tptp.relation @t15)))) % 158.08/158.48 (assume @p54 (forall @t11 (not (tptp.empty @t60)))) % 158.08/158.48 (assume @p55 @t94) % 158.08/158.48 (assume @p56 (forall @t6 (not (tptp.empty @t77)))) % 158.08/158.48 (assume @p57 (forall @t6 (=> @t86 (tptp.relation @t14)))) % 158.08/158.48 (assume @p58 (forall @t11 (not (tptp.empty @t59)))) % 158.08/158.48 (assume @p59 (forall @t6 (=> @t64 (not (tptp.empty @t14))))) % 158.08/158.48 (assume @p60 (forall @t6 (not (tptp.empty @t12)))) % 158.08/158.48 (assume @p61 (forall @t6 (=> @t64 (not (tptp.empty @t13))))) % 158.08/158.48 (assume @p62 (and @t94 (tptp.relation tptp.empty_set))) % 158.08/158.48 (assume @p63 (forall @t6 (=> (and @t64 @t95) (not (tptp.empty @t67))))) % 158.08/158.48 (assume @p64 (forall @t11 (=> @t97 (not @t96)))) % 158.08/158.48 (assume @p65 (forall @t11 (=> @t97 (not @t98)))) % 158.08/158.48 (assume @p66 (forall @t11 (=> @t10 (and @t96 (tptp.relation @t69))))) % 158.08/158.48 (assume @p67 (forall @t11 (=> @t10 (and @t98 (tptp.relation @t74))))) % 158.08/158.48 (assume @p68 (forall @t6 (=> @t93 (and (tptp.empty @t80) @t85)))) % 158.08/158.48 (assume @p69 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 158.08/158.48 (assume @p70 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 158.08/158.48 (assume @p71 (forall @t6 (=> @t76 (= (tptp.subset_complement @t1 @t75) @t2)))) % 158.08/158.48 (assume @p72 (forall @t11 (=> @t9 (= (tptp.relation_inverse @t78) @t1)))) % 158.08/158.48 (assume @p73 (forall @t6 (=> @t83 (= (tptp.complements_of_subsets @t1 @t81) @t2)))) % 158.08/158.48 (assume @p74 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 158.08/158.48 (assume @p75 (forall @t11 (not (= @t59 tptp.empty_set)))) % 158.08/158.48 (assume @p76 (forall @t6 (=> @t5 (= (tptp.set_union2 @t59 @t2) @t2)))) % 158.08/158.48 (assume @p77 (forall @t6 (not (and @t99 @t5)))) % 158.08/158.48 (assume @p78 (forall @t6 (=> (not @t5) @t99))) % 158.08/158.48 (assume @p79 (forall @t6 (= (tptp.subset @t59 @t2) @t5))) % 158.08/158.48 (assume @p80 (forall @t6 (= (= @t72 tptp.empty_set) @t24))) % 158.08/158.48 (assume @p81 (forall @t6 (=> @t76 (forall @t37 (=> @t57 @t18))))) % 158.08/158.48 (assume @p82 (forall @t65 (=> @t24 (or @t18 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t17))))))) % 158.08/158.48 (assume @p83 (forall @t6 (= (tptp.subset @t1 @t100) (or @t54 (= @t1 @t100))))) % 158.08/158.48 (assume @p84 (forall @t6 (=> @t5 (tptp.subset @t1 @t101)))) % 158.08/158.48 (assume @p85 (forall @t103 (= (tptp.in @t77 (tptp.cartesian_product2 @t17 @t16)) (and @t102 (tptp.in @t2 @t16))))) % 158.08/158.48 (assume @p86 (forall @t6 (=> @t68 @t104))) % 158.08/158.48 (assume @p87 (exists @t11 (and @t10 @t9))) % 158.08/158.48 (assume @p88 (forall @t11 (=> @t64 (exists @t51 (and @t76 @t95))))) % 158.08/158.48 (assume @p89 (exists @t11 @t10)) % 158.08/158.48 (assume @p90 (exists @t11 @t97)) % 158.08/158.48 (assume @p91 (forall @t11 (exists @t51 (and @t76 @t62)))) % 158.08/158.48 (assume @p92 (exists @t11 @t64)) % 158.08/158.48 (assume @p93 (forall @t6 (=> @t83 (= @t87 @t101)))) % 158.08/158.48 (assume @p94 (forall @t6 (=> @t83 (= @t88 (tptp.set_meet @t2))))) % 158.08/158.48 (assume @p95 (forall @t65 (=> @t91 (= @t89 @t105)))) % 158.08/158.48 (assume @p96 (forall @t6 (tptp.subset @t1 @t1))) % 158.08/158.48 (assume @p97 (forall @t6 (=> @t79 (tptp.disjoint @t2 @t1)))) % 158.08/158.48 (assume @p98 (forall @t103 (not (and (= @t12 (tptp.unordered_pair @t17 @t16)) (not @t106) (not (= @t1 @t16)))))) % 158.08/158.48 (assume @p99 (forall @t65 (=> @t33 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t17))) (and @t5 (tptp.in @t1 @t107)))))) % 158.08/158.48 (assume @p100 (forall @t6 (=> @t23 (tptp.subset @t108 @t1)))) % 158.08/158.48 (assume @p101 (forall @t6 (=> @t23 (tptp.subset @t36 @t2)))) % 158.08/158.48 (assume @p102 (forall @t6 (=> @t23 (tptp.subset @t108 @t109)))) % 158.08/158.48 (assume @p103 (forall @t65 (=> @t24 (and (tptp.subset @t110 (tptp.cartesian_product2 @t2 @t17)) (tptp.subset (tptp.cartesian_product2 @t17 @t1) (tptp.cartesian_product2 @t17 @t2)))))) % 158.08/158.48 (assume @p104 (forall @t6 (=> @t23 (= @t108 (tptp.set_intersection2 @t109 @t1))))) % 158.08/158.48 (assume @p105 (forall @t103 (=> (and @t24 (tptp.subset @t17 @t16)) (tptp.subset @t110 (tptp.cartesian_product2 @t2 @t16))))) % 158.08/158.48 (assume @p106 (forall @t6 (=> @t24 (= @t14 @t2)))) % 158.08/158.48 (assume @p107 (forall @t11 (exists @t51 (and @t5 @t115 (forall @t37 (=> @t57 (tptp.in @t114 @t2))) @t113)))) % 158.08/158.48 (assume @p108 (forall @t65 (=> @t33 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t17) @t2) (tptp.relation_rng_restriction @t1 @t116))))) % 158.08/158.48 (assume @p109 (forall @t65 (=> @t33 (= (tptp.in @t1 (tptp.relation_image @t17 @t2)) (exists @t41 (and (tptp.in @t16 @t117) (tptp.in (tptp.ordered_pair @t16 @t1) @t17) @t29)))))) % 158.08/158.48 (assume @p110 (forall @t6 (=> @t23 (tptp.subset @t118 @t109)))) % 158.08/158.48 (assume @p111 (forall @t6 (=> @t23 (= @t118 (tptp.relation_image @t2 @t120))))) % 158.08/158.48 (assume @p112 (forall @t11 (=> @t9 (= (tptp.relation_image @t1 @t69) @t74)))) % 158.08/158.48 (assume @p113 (forall @t11 (=> @t9 (forall @t51 (=> @t23 (= @t121 (tptp.relation_image @t2 @t74))))))) % 158.08/158.48 (assume @p114 @t130) % 158.08/158.48 (assume @p115 (forall @t6 (tptp.subset @t15 @t1))) % 158.08/158.48 (assume @p116 (forall @t65 (=> (and @t24 @t132) (tptp.subset @t1 @t131)))) % 158.08/158.48 (assume @p117 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 158.08/158.48 (assume @p118 (forall @t6 (=> @t5 @t133))) % 158.08/158.48 (assume @p119 (forall @t65 (=> (and @t24 (tptp.subset @t2 @t17)) @t132))) % 158.08/158.48 (assume @p120 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 158.08/158.48 (assume @p121 @t138) % 158.08/158.48 (assume @p122 (forall @t11 (=> @t9 (tptp.subset @t1 (tptp.cartesian_product2 @t69 @t74))))) % 158.08/158.48 (assume @p123 (forall @t11 (=> @t9 (forall @t51 (=> @t23 (=> @t24 (and (tptp.subset @t69 @t119) (tptp.subset @t74 @t109)))))))) % 158.08/158.48 (assume @p124 (forall @t65 (=> @t24 (tptp.subset (tptp.set_intersection2 @t1 @t17) @t131)))) % 158.08/158.48 (assume @p125 (forall @t6 (=> @t24 (= @t15 @t1)))) % 158.08/158.48 (assume @p126 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 158.08/158.48 (assume @p127 (forall @t6 (=> @t133 (or @t62 @t5)))) % 158.08/158.48 (assume @p128 (forall @t6 (=> (forall @t37 (= @t18 @t57)) @t25))) % 158.08/158.48 (assume @p129 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 158.08/158.48 (assume @p130 (forall @t65 (=> @t33 (=> @t136 (and (tptp.in @t1 @t139) (tptp.in @t2 @t139)))))) % 158.08/158.48 (assume @p131 (forall @t65 (=> @t24 (tptp.subset (tptp.set_difference @t1 @t17) @t105)))) % 158.08/158.48 (assume @p132 (forall @t103 (=> (= @t77 @t19) (and @t106 (= @t2 @t16))))) % 158.08/158.48 (assume @p133 (forall @t6 (tptp.subset @t72 @t1))) % 158.08/158.48 (assume @p134 (forall @t11 (=> @t9 (and (= @t74 (tptp.relation_dom @t78)) (= @t69 (tptp.relation_rng @t78)))))) % 158.08/158.48 (assume @p135 (forall @t65 (= (tptp.subset @t12 @t17) (and @t102 @t140)))) % 158.08/158.48 (assume @p136 (forall @t6 (= @t141 @t14))) % 158.08/158.48 (assume @p137 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 158.08/158.48 (assume @p138 (forall @t6 (= @t104 @t24))) % 158.08/158.48 (assume @p139 (forall @t6 (and (not (and @t143 (forall @t37 (not @t142)))) (not (and (exists @t37 @t142) @t79))))) % 158.08/158.48 (assume @p140 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t54))) % 158.08/158.48 (assume @p141 (forall @t6 (= (tptp.set_difference @t14 @t2) @t72))) % 158.08/158.48 (assume @p142 (forall @t6 (=> @t76 (forall @t37 (=> @t90 (= @t145 (tptp.subset @t2 @t144))))))) % 158.08/158.48 (assume @p143 (forall @t11 (=> @t9 (forall @t51 (=> @t23 (tptp.subset @t146 @t69)))))) % 158.08/158.48 (assume @p144 (forall @t11 (=> @t9 (forall @t51 (=> @t23 (tptp.subset @t121 @t109)))))) % 158.08/158.48 (assume @p145 (forall @t6 (=> @t24 (= @t2 @t141)))) % 158.08/158.48 (assume @p146 (forall @t11 (=> @t9 (forall @t51 (=> @t23 (=> (tptp.subset @t74 @t119) (= @t146 @t69))))))) % 158.08/158.48 (assume @p147 (forall @t6 (=> @t83 (not (and @t147 (= @t81 tptp.empty_set)))))) % 158.08/158.48 (assume @p148 (forall @t11 (=> @t9 (forall @t51 (=> @t23 (=> (tptp.subset @t69 @t109) (= (tptp.relation_rng @t92) @t74))))))) % 158.08/158.48 (assume @p149 (forall @t6 (=> @t83 (=> @t147 (= (tptp.subset_difference @t1 @t70 @t87) (tptp.meet_of_subsets @t1 @t81)))))) % 158.08/158.48 (assume @p150 (forall @t6 (=> @t83 (=> @t147 (= (tptp.union_of_subsets @t1 @t81) (tptp.subset_difference @t1 @t70 @t88)))))) % 158.08/158.48 (assume @p151 (forall @t6 (= (tptp.set_difference @t1 @t72) @t15))) % 158.08/158.48 (assume @p152 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 158.08/158.48 (assume @p153 (forall @t65 (=> (and @t5 @t148) (tptp.element @t1 @t17)))) % 158.08/158.48 (assume @p154 (forall @t6 (and (not (and @t143 (forall @t37 (not @t149)))) (not (and (exists @t37 @t149) @t79))))) % 158.08/158.48 (assume @p155 (forall @t11 (=> @t58 (forall @t51 (=> @t76 (forall @t37 (=> (tptp.element @t17 @t1) (=> @t111 (tptp.in @t17 @t75))))))))) % 158.08/158.48 (assume @p156 (forall @t65 (=> @t90 (not (and (tptp.in @t2 @t144) @t140))))) % 158.08/158.48 (assume @p157 (forall @t11 (=> @t9 (=> (forall @t34 (not (tptp.in (tptp.ordered_pair @t2 @t17) @t1))) @t54)))) % 158.08/158.48 (assume @p158 (forall @t65 (not (and @t5 @t148 (tptp.empty @t17))))) % 158.08/158.48 (assume @p159 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 158.08/158.48 (assume @p160 (forall @t6 (not (and @t24 @t7)))) % 158.08/158.48 (assume @p161 (forall @t65 (=> (and @t24 @t145) (tptp.disjoint @t1 @t17)))) % 158.08/158.48 (assume @p162 (forall @t11 (=> @t9 (=> (or @t151 @t150) @t54)))) % 158.08/158.48 (assume @p163 (forall @t11 (=> @t9 (= @t151 @t150)))) % 158.08/158.48 (assume @p164 (forall @t6 (= (= (tptp.set_difference @t1 @t100) @t1) @t4))) % 158.08/158.48 (assume @p165 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t59))) % 158.08/158.48 (assume @p166 (forall @t11 (=> @t10 @t54))) % 158.08/158.48 (assume @p167 (forall @t6 (=> (tptp.subset @t59 @t100) @t25))) % 158.08/158.48 (assume @p168 (forall @t11 (and (= (tptp.relation_dom @t22) @t1) (= (tptp.relation_rng @t22) @t1)))) % 158.08/158.48 (assume @p169 (forall @t103 (=> (tptp.relation @t16) (= (tptp.in @t77 (tptp.relation_composition (tptp.identity_relation @t17) @t16)) (and @t102 (tptp.in @t77 @t16)))))) % 158.08/158.48 (assume @p170 (forall @t6 (not (and @t5 @t62)))) % 158.08/158.48 (assume @p171 (forall @t6 (tptp.subset @t1 @t14))) % 158.08/158.48 (assume @p172 (forall @t6 (= @t79 (= @t72 @t1)))) % 158.08/158.48 (assume @p173 (forall @t65 (=> @t33 (= (tptp.in @t1 (tptp.relation_dom @t116)) (and @t5 @t134))))) % 158.08/158.48 (assume @p174 (forall @t6 (=> @t23 (tptp.subset @t152 @t2)))) % 158.08/158.48 (assume @p175 (forall @t6 (not (and @t10 @t84 @t62)))) % 158.08/158.48 (assume @p176 (forall @t65 (=> (and @t24 @t112) (tptp.subset (tptp.set_union2 @t1 @t17) @t2)))) % 158.08/158.48 (assume @p177 (forall @t65 (=> @t153 @t25))) % 158.08/158.48 (assume @p178 (forall @t6 (=> @t23 (= (tptp.relation_dom @t152) @t120)))) % 158.08/158.48 (assume @p179 (forall @t6 (=> @t23 (= @t152 (tptp.relation_composition @t22 @t2))))) % 158.08/158.48 (assume @p180 (forall @t6 (=> @t23 (tptp.subset (tptp.relation_rng @t152) @t109)))) % 158.08/158.48 (assume @p181 (forall @t11 (= (tptp.union @t60) @t1))) % 158.08/158.48 (assume @p182 (forall @t11 (exists @t51 (and @t5 @t115 (forall @t37 (not (and @t57 (forall @t41 (not (and @t29 (forall @t39 (=> (tptp.subset @t26 @t17) (tptp.in @t26 @t16))))))))) @t113)))) % 158.08/158.48 (assume @p183 (forall @t65 (=> @t153 (= @t2 @t17)))) % 158.08/158.48 (step @p184 :rule quant-merge-prenex :args ((= (forall @t11 @t162) @t160))) % 158.08/158.48 (step @p185 :rule alpha_equiv :args (@t163 (@list @t154 @t156) (@list @t2 @t17))) % 158.08/158.48 (step @p186 :rule refl :args (@t158)) % 158.08/158.48 (step @p187 :rule nary_cong :premises (@p186 @p185) :args (@t164)) % 158.08/158.48 (step @p188 :rule quant-miniscope-or :args ((= @t162 @t164))) % 158.08/158.48 (step @p189 :rule trans :premises (@p188 @p187)) % 158.08/158.48 (step @p190 :rule symm :premises (@p189)) % 158.08/158.48 (step @p191 :rule cong :premises (@p190) :args ((forall @t11 (or @t158 @t165)))) % 158.08/158.48 (step @p192 :rule trans :premises (@p191 @p184)) % 158.08/158.48 (step @p193 :rule bool-impl-elim :args (@t9 @t165)) % 158.08/158.48 (step @p194 :rule cong :premises (@p193) :args ((forall @t11 (=> @t9 @t165)))) % 158.08/158.48 (step @p195 :rule trans :premises (@p194 @p192)) % 158.08/158.48 (step @p196 :rule bool-and-de-morgan :args (@t28 @t38 true)) % 158.08/158.48 (step @p197 :rule cong :premises (@p196) :args (@t166)) % 158.08/158.48 (step @p198 :rule cong :premises (@p197) :args (@t167)) % 158.08/158.48 (step @p199 :rule exists-elim :args ((= @t43 @t167))) % 158.08/158.48 (step @p200 :rule trans :premises (@p199 @p198)) % 158.08/158.48 (step @p201 :rule refl :args (@t40)) % 158.08/158.48 (step @p202 :rule cong :premises (@p201 @p200) :args (@t44)) % 158.08/158.48 (step @p203 :rule cong :premises (@p202) :args (@t45)) % 158.08/158.48 (step @p204 :rule refl :args (@t46)) % 158.08/158.48 (step @p205 :rule cong :premises (@p204 @p203) :args (@t47)) % 158.08/158.48 (step @p206 :rule cong :premises (@p205) :args (@t48)) % 158.08/158.48 (step @p207 :rule refl :args (@t9)) % 158.08/158.48 (step @p208 :rule cong :premises (@p207 @p206) :args (@t49)) % 158.08/158.48 (step @p209 :rule cong :premises (@p208) :args (@t50)) % 158.08/158.48 (step @p210 :rule trans :premises (@p209 @p195)) % 158.08/158.48 (step @p211 :rule eq_resolve :premises (@p12 @p210)) % 158.08/158.48 (step @p212 :rule bool-eq-true :args (@t178)) % 158.08/158.48 (step @p213 :rule eq-symm :args (true @t178)) % 158.08/158.48 (step @p214 :rule trans :premises (@p213 @p212)) % 158.08/158.48 (step @p215 :rule refl :args (@t178)) % 158.08/158.48 (step @p216 :rule eq-refl :args (@t177)) % 158.08/158.48 (step @p217 :rule cong :premises (@p216 @p215) :args (@t179)) % 158.08/158.48 (step @p218 :rule trans :premises (@p217 @p214)) % 158.08/158.48 (step @p219 :rule refl :args (@t181)) % 158.08/158.48 (step @p220 :rule nary_cong :premises (@p219 @p218) :args (@t182)) % 158.08/158.48 (step @p221 :rule refl :args (@t160)) % 158.08/158.48 (step @p222 :rule cong :premises (@p221 @p220) :args ((=> @t160 @t182))) % 158.08/158.48 (assume-push @p357 @t160) % 158.08/158.48 (step @p224 :rule instantiate :premises (@p211) :args ((@list @t176 @t174 @t177))) % 158.08/158.48 (step-pop @p358 :rule scope :premises (@p224)) % 158.08/158.48 (step @p225 :rule process_scope :premises (@p358) :args (@t182)) % 158.08/158.48 (step @p227 :rule eq_resolve :premises (@p225 @p222)) % 158.08/158.48 (step @p228 :rule implies_elim :premises (@p227)) % 158.08/158.48 (step @p229 :rule chain_m_resolution :premises (@p228 @p211) :args (@t183 (@list false) (@list @t160))) % 158.08/158.48 (step @p230 :rule bool-impl-elim :args (@t33 @t171)) % 158.08/158.48 (step @p231 :rule cong :premises (@p230) :args ((forall @t65 (=> @t33 @t171)))) % 158.08/158.48 (step @p232 :rule aci_norm :args ((= (or @t169 (or @t168 @t71)) @t170))) % 158.08/158.48 (step @p233 :rule bool-and-de-morgan :args (@t122 @t29 true)) % 158.08/158.48 (step @p234 :rule refl :args (@t169)) % 158.08/158.48 (step @p235 :rule nary_cong :premises (@p234 @p233) :args ((or @t169 (not (and @t122 @t29))))) % 158.08/158.48 (step @p236 :rule bool-and-de-morgan :args (@t123 @t122 (and @t29))) % 158.08/158.48 (step @p237 :rule trans :premises (@p236 @p235)) % 158.08/158.48 (step @p238 :rule trans :premises (@p237 @p232)) % 158.08/158.48 (step @p239 :rule cong :premises (@p238) :args (@t184)) % 158.08/158.48 (step @p240 :rule cong :premises (@p239) :args (@t185)) % 158.08/158.48 (step @p241 :rule exists-elim :args ((= @t125 @t185))) % 158.08/158.48 (step @p242 :rule trans :premises (@p241 @p240)) % 158.08/158.48 (step @p243 :rule refl :args (@t126)) % 158.08/158.48 (step @p244 :rule cong :premises (@p243 @p242) :args (@t127)) % 158.08/158.48 (step @p245 :rule refl :args (@t33)) % 158.08/158.48 (step @p246 :rule cong :premises (@p245 @p244) :args (@t128)) % 158.08/158.48 (step @p247 :rule cong :premises (@p246) :args (@t129)) % 158.08/158.48 (step @p248 :rule trans :premises (@p247 @p231)) % 158.08/158.48 (step @p249 :rule cong :premises (@p248) :args (@t130)) % 158.08/158.48 (step @p250 :rule eq_resolve :premises (@p114 @p249)) % 158.08/158.48 (step @p251 :rule skolemize :premises (@p250)) % 158.08/158.48 (step @p252 :rule bool-double-not-elim :args (@t180)) % 158.08/158.48 (step @p253 :rule refl :args (@t192)) % 158.08/158.48 (step @p254 :rule nary_cong :premises (@p253 @p252) :args ((or @t192 (not @t181)))) % 158.08/158.48 (step @p255 :rule cnf_or_neg :args (@t192 0)) % 158.08/158.48 (step @p256 :rule eq_resolve :premises (@p255 @p254)) % 158.08/158.48 (step @p257 :rule reordering :premises (@p256) :args ((or @t180 @t192))) % 158.08/158.48 (step @p258 :rule chain_m_resolution :premises (@p257 @p251) :args (@t180 @t193 @t194)) % 158.08/158.48 (step @p259 :rule cnf_or_pos :args (@t183)) % 158.08/158.48 (step @p260 :rule reordering :premises (@p259) :args ((or @t181 @t178 (not @t183)))) % 158.08/158.48 (step @p261 :rule chain_m_resolution :premises (@p260 @p258 @p229) :args (@t178 @t195 (@list @t180 @t183))) % 158.08/158.48 (step @p262 :rule instantiate :premises (@p261) :args ((@list @t186))) % 158.08/158.48 (step @p263 :rule cnf_or_neg :args (@t192 1)) % 158.08/158.48 (step @p264 :rule chain_m_resolution :premises (@p263 @p251) :args ((not @t191) @t193 @t194)) % 158.08/158.48 (step @p265 :rule bool-double-not-elim :args (@t188)) % 158.08/158.48 (step @p266 :rule refl :args (@t196)) % 158.08/158.48 (step @p267 :rule refl :args (@t191)) % 158.08/158.48 (step @p268 :rule nary_cong :premises (@p267 @p266 @p265) :args ((or @t191 @t196 @t197))) % 158.08/158.48 (step @p269 :rule cnf_equiv_neg2 :args (@t191)) % 158.08/158.48 (step @p270 :rule eq_resolve :premises (@p269 @p268)) % 158.08/158.48 (step @p271 :rule reordering :premises (@p270) :args ((or @t188 @t191 @t196))) % 158.08/158.48 (step @p272 :rule cnf_equiv_pos1 :args (@t200)) % 158.08/158.48 (step @p273 :rule reordering :premises (@p272) :args ((or @t196 @t199 @t201))) % 158.08/158.48 (assume-push @p359 @t188) % 158.08/158.48 (step @p275 :rule instantiate :premises (@p359) :args ((@list @t202))) % 158.08/158.48 (step-pop @p360 :rule scope :premises (@p275)) % 158.08/158.48 (step @p276 :rule process_scope :premises (@p360) :args (@t209)) % 158.08/158.48 (step @p278 :rule implies_elim :premises (@p276)) % 158.08/158.48 (step @p279 :rule refl :args (@t211)) % 158.08/158.48 (step @p280 :rule bool-double-not-elim :args (@t198)) % 158.08/158.48 (step @p281 :rule nary_cong :premises (@p280 @p279) :args ((or @t212 @t211))) % 158.08/158.48 (assume-push @p361 @t199) % 158.08/158.48 (step @p283 :rule skolemize :premises (@p361)) % 158.08/158.48 (step-pop @p362 :rule scope :premises (@p283)) % 158.08/158.48 (step @p284 :rule process_scope :premises (@p362) :args (@t211)) % 158.08/158.48 (step @p286 :rule implies_elim :premises (@p284)) % 158.08/158.48 (step @p287 :rule eq_resolve :premises (@p286 @p281)) % 158.08/158.48 (step @p288 :rule bool-double-not-elim :args (@t205)) % 158.08/158.48 (step @p289 :rule refl :args (@t210)) % 158.08/158.48 (step @p290 :rule nary_cong :premises (@p289 @p288) :args ((or @t210 (not @t206)))) % 158.08/158.48 (step @p291 :rule cnf_or_neg :args (@t210 0)) % 158.08/158.48 (step @p292 :rule eq_resolve :premises (@p291 @p290)) % 158.08/158.48 (step @p293 :rule reordering :premises (@p292) :args ((or @t205 @t210))) % 158.08/158.48 (step @p294 :rule bool-double-not-elim :args (@t203)) % 158.08/158.48 (step @p295 :rule nary_cong :premises (@p289 @p294) :args ((or @t210 (not @t204)))) % 158.08/158.48 (step @p296 :rule cnf_or_neg :args (@t210 1)) % 158.08/158.48 (step @p297 :rule eq_resolve :premises (@p296 @p295)) % 158.08/158.48 (step @p298 :rule reordering :premises (@p297) :args ((or @t203 @t210))) % 158.08/158.48 (step @p299 :rule aci_norm :args ((= (or @t172 (or @t213 @t135)) (or @t172 @t213 @t135)))) % 158.08/158.48 (step @p300 :rule bool-impl-elim :args (@t136 @t135)) % 158.08/158.48 (step @p301 :rule refl :args (@t172)) % 158.08/158.48 (step @p302 :rule nary_cong :premises (@p301 @p300) :args ((or @t172 @t137))) % 158.08/158.48 (step @p303 :rule trans :premises (@p302 @p299)) % 158.08/158.48 (step @p304 :rule bool-impl-elim :args (@t33 @t137)) % 158.08/158.48 (step @p305 :rule trans :premises (@p304 @p303)) % 158.08/158.48 (step @p306 :rule cong :premises (@p305) :args (@t138)) % 158.08/158.48 (step @p307 :rule eq_resolve :premises (@p121 @p306)) % 158.08/158.48 (step @p308 :rule instantiate :premises (@p307) :args ((@list @t186 @t202 @t176))) % 158.08/158.48 (step @p309 :rule cnf_or_pos :args (@t215)) % 158.08/158.48 (step @p310 :rule reordering :premises (@p309) :args ((or @t181 @t206 @t214 (not @t215)))) % 158.08/158.48 (step @p311 :rule cnf_or_pos :args (@t209)) % 158.08/158.48 (step @p312 :rule reordering :premises (@p311) :args ((or @t206 @t204 @t208 (not @t209)))) % 158.08/158.48 (step @p313 :rule cnf_and_pos :args (@t214 1)) % 158.08/158.48 (step @p314 :rule reordering :premises (@p313) :args ((or @t207 (not @t214)))) % 158.08/158.48 (step @p315 :rule chain_m_resolution :premises (@p314 @p312 @p310 @p308 @p258 @p298 @p293 @p287 @p278 @p273 @p262 @p271 @p264) :args (@t196 (@list true false false false false false true false true false false true) (@list @t207 @t214 @t215 @t180 @t203 @t205 @t210 @t209 @t198 @t200 @t188 @t191))) % 158.08/158.48 (step @p316 :rule refl :args (@t190)) % 158.08/158.48 (step @p317 :rule refl :args (@t201)) % 158.08/158.48 (step @p318 :rule nary_cong :premises (@p317 @p316 @p280) :args ((or @t201 @t190 @t212))) % 158.08/158.48 (step @p319 :rule cnf_equiv_pos2 :args (@t200)) % 158.08/158.48 (step @p320 :rule eq_resolve :premises (@p319 @p318)) % 158.08/158.48 (step @p321 :rule reordering :premises (@p320) :args ((or @t190 @t198 @t201))) % 158.08/158.48 (step @p322 :rule chain_m_resolution :premises (@p321 @p315 @p262) :args (@t198 @t216 (@list @t190 @t200))) % 158.08/158.48 (step @p323 :rule cnf_equiv_neg1 :args (@t191)) % 158.08/158.48 (step @p324 :rule reordering :premises (@p323) :args ((or @t190 @t189 @t191))) % 158.08/158.48 (step @p325 :rule chain_m_resolution :premises (@p324 @p315 @p264) :args (@t189 (@list true true) (@list @t190 @t191))) % 158.08/158.48 (step @p326 :rule refl :args (@t223)) % 158.08/158.48 (step @p327 :rule nary_cong :premises (@p265 @p326) :args ((or @t197 @t223))) % 158.08/158.48 (assume-push @p363 @t189) % 158.08/158.48 (step @p329 :rule skolemize :premises (@p363)) % 158.08/158.48 (step-pop @p364 :rule scope :premises (@p329)) % 158.08/158.48 (step @p330 :rule process_scope :premises (@p364) :args (@t223)) % 158.08/158.48 (step @p332 :rule implies_elim :premises (@p330)) % 158.08/158.48 (step @p333 :rule eq_resolve :premises (@p332 @p327)) % 158.08/158.48 (step @p334 :rule chain_m_resolution :premises (@p333 @p325) :args (@t223 @t193 (@list @t188))) % 158.08/158.48 (step @p335 :rule bool-double-not-elim :args (@t218)) % 158.08/158.48 (step @p336 :rule refl :args (@t222)) % 158.08/158.48 (step @p337 :rule nary_cong :premises (@p336 @p335) :args ((or @t222 (not @t219)))) % 158.08/158.48 (step @p338 :rule cnf_or_neg :args (@t222 2)) % 158.08/158.48 (step @p339 :rule eq_resolve :premises (@p338 @p337)) % 158.08/158.48 (step @p340 :rule reordering :premises (@p339) :args ((or @t218 @t222))) % 158.08/158.48 (step @p341 :rule chain_m_resolution :premises (@p340 @p334) :args (@t218 @t193 @t224)) % 158.08/158.48 (step @p342 :rule bool-double-not-elim :args (@t220)) % 158.08/158.48 (step @p343 :rule nary_cong :premises (@p336 @p342) :args ((or @t222 (not @t221)))) % 158.08/158.48 (step @p344 :rule cnf_or_neg :args (@t222 1)) % 158.08/158.48 (step @p345 :rule eq_resolve :premises (@p344 @p343)) % 158.08/158.48 (step @p346 :rule reordering :premises (@p345) :args ((or @t220 @t222))) % 158.08/158.48 (step @p347 :rule chain_m_resolution :premises (@p346 @p334) :args (@t220 @t193 @t224)) % 158.08/158.48 (step @p348 :rule cnf_or_pos :args (@t225)) % 158.08/158.48 (step @p349 :rule reordering :premises (@p348) :args ((or @t221 @t219 @t226))) % 158.08/158.48 (step @p350 :rule chain_m_resolution :premises (@p349 @p347 @p341) :args (@t226 @t195 (@list @t220 @t218))) % 158.08/158.48 (assume-push @p365 @t198) % 158.08/158.48 (step @p352 :rule instantiate :premises (@p365) :args ((@list @t217))) % 158.08/158.48 (step-pop @p366 :rule scope :premises (@p352)) % 158.08/158.48 (step @p353 :rule process_scope :premises (@p366) :args (@t225)) % 158.08/158.48 (step @p355 :rule implies_elim :premises (@p353)) % 158.08/158.48 (step @p356 false :rule chain_m_resolution :premises (@p355 @p350 @p322) :args (false @t216 (@list @t225 @t198))) % 158.08/158.48 ) % 158.08/158.48 % SZS output end Proof % 158.08/158.48 % cvc5 exiting %------------------------------------------------------------------------------