%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU234+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 : n004.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 08:51:04 AM UTC 2026 % Result : Theorem 6.32s 6.50s % Output : Proof 6.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU234+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 % 0.17/0.34 % Computer : n004.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 16:44:22 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.54 %----Proving TF0_NAR, FOF, or CNF % 6.32/6.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 6.32/6.50 % SZS status Theorem % 6.32/6.50 % SZS output start Proof % 6.32/6.50 ( % 6.32/6.50 (declare-sort $$unsorted 0) % 6.32/6.50 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 6.32/6.50 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 6.32/6.50 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 6.32/6.50 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 6.32/6.50 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 6.32/6.50 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 6.32/6.50 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.empty (-> $$unsorted Bool)) % 6.32/6.50 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 6.32/6.50 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 6.32/6.50 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 6.32/6.50 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 6.32/6.50 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.relation (-> $$unsorted Bool)) % 6.32/6.50 (declare-const tptp.empty_set $$unsorted) % 6.32/6.50 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.function (-> $$unsorted Bool)) % 6.32/6.50 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 6.32/6.50 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 6.32/6.50 (define @t1 () (@var "A" $$unsorted)) % 6.32/6.50 (define @t2 () (@var "B" $$unsorted)) % 6.32/6.50 (define @t3 () (tptp.in @t2 @t1)) % 6.32/6.50 (define @t4 () (not @t3)) % 6.32/6.50 (define @t5 () (tptp.in @t1 @t2)) % 6.32/6.50 (define @t6 () (@list @t1 @t2)) % 6.32/6.50 (define @t7 () (tptp.proper_subset @t2 @t1)) % 6.32/6.50 (define @t8 () (tptp.proper_subset @t1 @t2)) % 6.32/6.50 (define @t9 () (tptp.function @t1)) % 6.32/6.50 (define @t10 () (tptp.empty @t1)) % 6.32/6.50 (define @t11 () (@list @t1)) % 6.32/6.50 (define @t12 () (tptp.epsilon_connected @t1)) % 6.32/6.50 (define @t13 () (tptp.epsilon_transitive @t1)) % 6.32/6.50 (define @t14 () (and @t13 @t12)) % 6.32/6.50 (define @t15 () (tptp.ordinal @t1)) % 6.32/6.50 (define @t16 () (tptp.relation @t1)) % 6.32/6.50 (define @t17 () (tptp.one_to_one @t1)) % 6.32/6.50 (define @t18 () (and @t16 @t9 @t17)) % 6.32/6.50 (define @t19 () (and @t16 @t10 @t9)) % 6.32/6.50 (define @t20 () (forall @t11 (=> @t14 @t15))) % 6.32/6.50 (define @t21 () (and @t13 @t12 @t15)) % 6.32/6.50 (define @t22 () (tptp.unordered_pair @t1 @t2)) % 6.32/6.50 (define @t23 () (tptp.set_union2 @t2 @t1)) % 6.32/6.50 (define @t24 () (tptp.set_union2 @t1 @t2)) % 6.32/6.50 (define @t25 () (tptp.set_intersection2 @t1 @t2)) % 6.32/6.50 (define @t26 () (@var "D" $$unsorted)) % 6.32/6.50 (define @t27 () (@var "C" $$unsorted)) % 6.32/6.50 (define @t28 () (tptp.in @t27 @t1)) % 6.32/6.50 (define @t29 () (tptp.ordered_pair @t27 @t26)) % 6.32/6.50 (define @t30 () (tptp.in @t29 @t2)) % 6.32/6.50 (define @t31 () (@list @t27 @t26)) % 6.32/6.50 (define @t32 () (tptp.identity_relation @t1)) % 6.32/6.50 (define @t33 () (= @t2 @t32)) % 6.32/6.50 (define @t34 () (tptp.relation @t2)) % 6.32/6.50 (define @t35 () (tptp.subset @t2 @t1)) % 6.32/6.50 (define @t36 () (tptp.subset @t1 @t2)) % 6.32/6.50 (define @t37 () (= @t1 @t2)) % 6.32/6.50 (define @t38 () (@var "E" $$unsorted)) % 6.32/6.50 (define @t39 () (tptp.ordered_pair @t26 @t38)) % 6.32/6.50 (define @t40 () (tptp.in @t39 @t1)) % 6.32/6.50 (define @t41 () (tptp.in @t26 @t2)) % 6.32/6.50 (define @t42 () (tptp.in @t39 @t27)) % 6.32/6.50 (define @t43 () (@list @t26 @t38)) % 6.32/6.50 (define @t44 () (tptp.relation_dom_restriction @t1 @t2)) % 6.32/6.50 (define @t45 () (tptp.relation @t27)) % 6.32/6.50 (define @t46 () (@list @t2 @t27)) % 6.32/6.50 (define @t47 () (tptp.in @t38 @t2)) % 6.32/6.50 (define @t48 () (tptp.relation_dom @t1)) % 6.32/6.50 (define @t49 () (@list @t38)) % 6.32/6.50 (define @t50 () (tptp.in @t26 @t27)) % 6.32/6.50 (define @t51 () (@list @t26)) % 6.32/6.50 (define @t52 () (= @t27 (tptp.relation_image @t1 @t2))) % 6.32/6.50 (define @t53 () (and @t16 @t9)) % 6.32/6.50 (define @t54 () (tptp.in @t38 @t1)) % 6.32/6.50 (define @t55 () (tptp.relation_rng_restriction @t1 @t2)) % 6.32/6.50 (define @t56 () (@list @t27)) % 6.32/6.50 (define @t57 () (tptp.apply @t1 @t26)) % 6.32/6.50 (define @t58 () (tptp.in @t26 @t48)) % 6.32/6.50 (define @t59 () (= @t27 (tptp.relation_inverse_image @t1 @t2))) % 6.32/6.50 (define @t60 () (tptp.in @t38 @t26)) % 6.32/6.50 (define @t61 () (@list @t1 @t2 @t27 @t26)) % 6.32/6.50 (define @t62 () (tptp.singleton @t1)) % 6.32/6.50 (define @t63 () (tptp.succ @t1)) % 6.32/6.50 (define @t64 () (@list @t2)) % 6.32/6.50 (define @t65 () (= @t2 tptp.empty_set)) % 6.32/6.50 (define @t66 () (= @t2 (tptp.set_meet @t1))) % 6.32/6.50 (define @t67 () (= @t1 tptp.empty_set)) % 6.32/6.50 (define @t68 () (tptp.in @t27 @t26)) % 6.32/6.50 (define @t69 () (tptp.in @t26 @t1)) % 6.32/6.50 (define @t70 () (tptp.in @t27 @t2)) % 6.32/6.50 (define @t71 () (not @t67)) % 6.32/6.50 (define @t72 () (tptp.powerset @t1)) % 6.32/6.50 (define @t73 () (forall @t64 (=> @t3 @t35))) % 6.32/6.50 (define @t74 () (= @t13 @t73)) % 6.32/6.50 (define @t75 () (forall @t11 @t74)) % 6.32/6.50 (define @t76 () (tptp.in @t29 @t1)) % 6.32/6.50 (define @t77 () (tptp.empty @t2)) % 6.32/6.50 (define @t78 () (tptp.element @t2 @t1)) % 6.32/6.50 (define @t79 () (not @t10)) % 6.32/6.50 (define @t80 () (@list @t1 @t2 @t27)) % 6.32/6.50 (define @t81 () (@var "F" $$unsorted)) % 6.32/6.50 (define @t82 () (tptp.cartesian_product2 @t1 @t2)) % 6.32/6.50 (define @t83 () (not @t70)) % 6.32/6.50 (define @t84 () (= @t2 @t27)) % 6.32/6.50 (define @t85 () (not @t84)) % 6.32/6.50 (define @t86 () (tptp.in @t2 @t27)) % 6.32/6.50 (define @t87 () (not @t86)) % 6.32/6.50 (define @t88 () (forall @t46 (not (and @t3 @t28 @t87 @t85 @t83)))) % 6.32/6.50 (define @t89 () (= @t12 @t88)) % 6.32/6.50 (define @t90 () (forall @t11 @t89)) % 6.32/6.50 (define @t91 () (forall @t56 (=> @t28 @t70))) % 6.32/6.50 (define @t92 () (tptp.apply @t1 @t2)) % 6.32/6.50 (define @t93 () (= @t27 @t92)) % 6.32/6.50 (define @t94 () (tptp.in @t2 @t48)) % 6.32/6.50 (define @t95 () (tptp.in (tptp.ordered_pair @t2 @t27) @t1)) % 6.32/6.50 (define @t96 () (tptp.cast_to_subset @t1)) % 6.32/6.50 (define @t97 () (tptp.set_difference @t1 @t2)) % 6.32/6.50 (define @t98 () (and @t58 (= @t27 @t57))) % 6.32/6.50 (define @t99 () (tptp.relation_rng @t1)) % 6.32/6.50 (define @t100 () (= @t2 @t99)) % 6.32/6.50 (define @t101 () (tptp.in (tptp.ordered_pair @t26 @t27) @t1)) % 6.32/6.50 (define @t102 () (tptp.subset_complement @t1 @t2)) % 6.32/6.50 (define @t103 () (tptp.element @t2 @t72)) % 6.32/6.50 (define @t104 () (tptp.ordered_pair @t1 @t2)) % 6.32/6.50 (define @t105 () (tptp.relation_inverse @t1)) % 6.32/6.50 (define @t106 () (tptp.disjoint @t1 @t2)) % 6.32/6.50 (define @t107 () (tptp.relation_composition @t1 @t2)) % 6.32/6.50 (define @t108 () (tptp.complements_of_subsets @t1 @t2)) % 6.32/6.50 (define @t109 () (tptp.powerset @t72)) % 6.32/6.50 (define @t110 () (tptp.element @t2 @t109)) % 6.32/6.50 (define @t111 () (not @t37)) % 6.32/6.50 (define @t112 () (tptp.function_inverse @t1)) % 6.32/6.50 (define @t113 () (tptp.relation @t105)) % 6.32/6.50 (define @t114 () (tptp.relation @t107)) % 6.32/6.50 (define @t115 () (and @t16 @t34)) % 6.32/6.50 (define @t116 () (tptp.union_of_subsets @t1 @t2)) % 6.32/6.50 (define @t117 () (tptp.relation @t32)) % 6.32/6.50 (define @t118 () (tptp.meet_of_subsets @t1 @t2)) % 6.32/6.50 (define @t119 () (tptp.subset_difference @t1 @t2 @t27)) % 6.32/6.50 (define @t120 () (tptp.element @t27 @t72)) % 6.32/6.50 (define @t121 () (and @t103 @t120)) % 6.32/6.50 (define @t122 () (tptp.relation @t44)) % 6.32/6.50 (define @t123 () (tptp.relation_composition @t2 @t1)) % 6.32/6.50 (define @t124 () (and @t10 @t34)) % 6.32/6.50 (define @t125 () (tptp.relation_empty_yielding tptp.empty_set)) % 6.32/6.50 (define @t126 () (tptp.relation tptp.empty_set)) % 6.32/6.50 (define @t127 () (tptp.empty tptp.empty_set)) % 6.32/6.50 (define @t128 () (tptp.relation_empty_yielding @t1)) % 6.32/6.50 (define @t129 () (and @t16 @t128)) % 6.32/6.50 (define @t130 () (tptp.function @t2)) % 6.32/6.50 (define @t131 () (not @t77)) % 6.32/6.50 (define @t132 () (tptp.empty @t48)) % 6.32/6.50 (define @t133 () (and @t79 @t16)) % 6.32/6.50 (define @t134 () (tptp.empty @t99)) % 6.32/6.50 (define @t135 () (tptp.disjoint @t62 @t2)) % 6.32/6.50 (define @t136 () (not @t5)) % 6.32/6.50 (define @t137 () (tptp.singleton @t2)) % 6.32/6.50 (define @t138 () (tptp.union @t2)) % 6.32/6.50 (define @t139 () (tptp.in @t1 @t27)) % 6.32/6.50 (define @t140 () (tptp.element @t1 (tptp.powerset @t2))) % 6.32/6.50 (define @t141 () (tptp.relation_dom @t27)) % 6.32/6.50 (define @t142 () (tptp.relation_dom_restriction @t27 @t1)) % 6.32/6.50 (define @t143 () (tptp.in @t2 (tptp.relation_dom @t142))) % 6.32/6.50 (define @t144 () (and @t45 (tptp.function @t27))) % 6.32/6.50 (define @t145 () (tptp.set_difference @t2 @t27)) % 6.32/6.50 (define @t146 () (= @t1 @t27)) % 6.32/6.50 (define @t147 () (tptp.relation_rng @t27)) % 6.32/6.50 (define @t148 () (tptp.relation_rng @t55)) % 6.32/6.50 (define @t149 () (tptp.relation_rng @t2)) % 6.32/6.50 (define @t150 () (tptp.cartesian_product2 @t1 @t27)) % 6.32/6.50 (define @t151 () (tptp.subset @t27 @t2)) % 6.32/6.50 (define @t152 () (forall @t56 (not (and @t151 (not (tptp.are_equipotent @t27 @t2)) @t83)))) % 6.32/6.50 (define @t153 () (tptp.powerset @t27)) % 6.32/6.50 (define @t154 () (forall @t31 (=> (and @t70 (tptp.subset @t26 @t27)) @t41))) % 6.32/6.50 (define @t155 () (tptp.relation_dom_restriction @t27 @t2)) % 6.32/6.50 (define @t156 () (tptp.relation_image @t2 @t1)) % 6.32/6.50 (define @t157 () (tptp.relation_inverse_image @t2 @t1)) % 6.32/6.50 (define @t158 () (tptp.relation_image @t2 @t157)) % 6.32/6.50 (define @t159 () (and @t34 @t130)) % 6.32/6.50 (define @t160 () (tptp.relation_dom @t2)) % 6.32/6.50 (define @t161 () (tptp.set_intersection2 @t160 @t1)) % 6.32/6.50 (define @t162 () (tptp.subset @t1 @t149)) % 6.32/6.50 (define @t163 () (tptp.relation_rng @t107)) % 6.32/6.50 (define @t164 () (tptp.relation_inverse_image @t27 @t2)) % 6.32/6.50 (define @t165 () (tptp.set_intersection2 @t2 @t27)) % 6.32/6.50 (define @t166 () (tptp.subset @t1 @t27)) % 6.32/6.50 (define @t167 () (tptp.element @t1 @t2)) % 6.32/6.50 (define @t168 () (tptp.in @t1 @t141)) % 6.32/6.50 (define @t169 () (tptp.in @t104 @t27)) % 6.32/6.50 (define @t170 () (tptp.apply @t27 @t1)) % 6.32/6.50 (define @t171 () (tptp.relation_composition @t27 @t2)) % 6.32/6.50 (define @t172 () (tptp.in @t1 (tptp.relation_dom @t171))) % 6.32/6.50 (define @t173 () (tptp.ordinal @t2)) % 6.32/6.50 (define @t174 () (not (and @t136 @t111 @t4))) % 6.32/6.50 (define @t175 () (forall @t64 (=> @t173 @t174))) % 6.32/6.50 (define @t176 () (=> @t15 @t175)) % 6.32/6.50 (define @t177 () (forall @t11 @t176)) % 6.32/6.50 (define @t178 () (tptp.relation_field @t27)) % 6.32/6.50 (define @t179 () (and @t173 @t35)) % 6.32/6.50 (define @t180 () (forall @t64 (=> @t3 @t179))) % 6.32/6.50 (define @t181 () (=> @t180 @t15)) % 6.32/6.50 (define @t182 () (forall @t11 @t181)) % 6.32/6.50 (define @t183 () (not @t182)) % 6.32/6.50 (define @t184 () (tptp.apply @t2 @t27)) % 6.32/6.50 (define @t185 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 6.32/6.50 (define @t186 () (and @t28 @t70)) % 6.32/6.50 (define @t187 () (not @t106)) % 6.32/6.50 (define @t188 () (tptp.subset_complement @t1 @t27)) % 6.32/6.50 (define @t189 () (tptp.disjoint @t2 @t27)) % 6.32/6.50 (define @t190 () (tptp.relation_dom @t107)) % 6.32/6.50 (define @t191 () (not @t65)) % 6.32/6.50 (define @t192 () (tptp.element @t2 @t153)) % 6.32/6.50 (define @t193 () (tptp.in @t27 @t25)) % 6.32/6.50 (define @t194 () (and (tptp.in @t27 @t99) (= @t26 @t184))) % 6.32/6.50 (define @t195 () (tptp.function_inverse @t2)) % 6.32/6.50 (define @t196 () (= @t99 tptp.empty_set)) % 6.32/6.50 (define @t197 () (= @t48 tptp.empty_set)) % 6.32/6.50 (define @t198 () (= (tptp.apply @t142 @t2) (tptp.apply @t27 @t2))) % 6.32/6.50 (define @t199 () (tptp.relation_dom_restriction @t2 @t1)) % 6.32/6.50 (define @t200 () (= @t62 (tptp.unordered_pair @t2 @t27))) % 6.32/6.50 (define @t201 () (forall @t64 (or @t4 @t179))) % 6.32/6.50 (define @t202 () (@quantifiers_skolemize (forall @t11 (or (not @t201) @t15)) 0)) % 6.32/6.50 (define @t203 () (@list @t202)) % 6.32/6.50 (define @t204 () (not @t12)) % 6.32/6.50 (define @t205 () (not @t13)) % 6.32/6.50 (define @t206 () (not @t28)) % 6.32/6.50 (define @t207 () (not @t83)) % 6.32/6.50 (define @t208 () (not @t85)) % 6.32/6.50 (define @t209 () (not @t87)) % 6.32/6.50 (define @t210 () (or @t4 @t206 @t209 @t208 @t207)) % 6.32/6.50 (define @t211 () (not (tptp.in @t2 @t202))) % 6.32/6.50 (define @t212 () (forall @t46 (or @t211 (not (tptp.in @t27 @t202)) @t86 @t84 @t70))) % 6.32/6.50 (define @t213 () (@quantifiers_skolemize @t212 0)) % 6.32/6.50 (define @t214 () (tptp.in @t213 @t202)) % 6.32/6.50 (define @t215 () (@quantifiers_skolemize @t212 1)) % 6.32/6.50 (define @t216 () (tptp.in @t215 @t213)) % 6.32/6.50 (define @t217 () (= @t213 @t215)) % 6.32/6.50 (define @t218 () (tptp.in @t213 @t215)) % 6.32/6.50 (define @t219 () (tptp.in @t215 @t202)) % 6.32/6.50 (define @t220 () (not @t219)) % 6.32/6.50 (define @t221 () (not @t214)) % 6.32/6.50 (define @t222 () (or @t221 @t220 @t218 @t217 @t216)) % 6.32/6.50 (define @t223 () (tptp.subset @t2 @t202)) % 6.32/6.50 (define @t224 () (forall @t64 (or @t211 (and @t173 @t223)))) % 6.32/6.50 (define @t225 () (tptp.ordinal @t202)) % 6.32/6.50 (define @t226 () (not @t224)) % 6.32/6.50 (define @t227 () (or @t226 @t225)) % 6.32/6.50 (define @t228 () (@list true)) % 6.32/6.50 (define @t229 () (@list @t227)) % 6.32/6.50 (define @t230 () (tptp.ordinal @t213)) % 6.32/6.50 (define @t231 () (and @t230 (tptp.subset @t213 @t202))) % 6.32/6.50 (define @t232 () (or @t221 @t231)) % 6.32/6.50 (define @t233 () (tptp.ordinal @t215)) % 6.32/6.50 (define @t234 () (and @t233 (tptp.subset @t215 @t202))) % 6.32/6.50 (define @t235 () (or @t220 @t234)) % 6.32/6.50 (define @t236 () (@var "BOUND_VARIABLE_10178" $$unsorted)) % 6.32/6.50 (define @t237 () (tptp.in @t236 @t1)) % 6.32/6.50 (define @t238 () (= @t1 @t236)) % 6.32/6.50 (define @t239 () (tptp.in @t1 @t236)) % 6.32/6.50 (define @t240 () (not (tptp.ordinal @t236))) % 6.32/6.50 (define @t241 () (not @t15)) % 6.32/6.50 (define @t242 () (or @t240 @t239 @t238 @t237)) % 6.32/6.50 (define @t243 () (or @t241 @t242)) % 6.32/6.50 (define @t244 () (forall (@list @t1 @t236) @t243)) % 6.32/6.50 (define @t245 () (@list @t236)) % 6.32/6.50 (define @t246 () (forall @t245 @t243)) % 6.32/6.50 (define @t247 () (forall @t245 @t242)) % 6.32/6.50 (define @t248 () (or @t241 @t247)) % 6.32/6.50 (define @t249 () (not @t173)) % 6.32/6.50 (define @t250 () (or @t249 @t5 @t37 @t3)) % 6.32/6.50 (define @t251 () (forall @t64 @t250)) % 6.32/6.50 (define @t252 () (not @t4)) % 6.32/6.50 (define @t253 () (not @t111)) % 6.32/6.50 (define @t254 () (not @t136)) % 6.32/6.50 (define @t255 () (or @t254 @t253 @t252)) % 6.32/6.50 (define @t256 () (not @t233)) % 6.32/6.50 (define @t257 () (not @t230)) % 6.32/6.50 (define @t258 () (or @t257 @t256 @t218 @t217 @t216)) % 6.32/6.50 (define @t259 () (not @t222)) % 6.32/6.50 (define @t260 () (not @t212)) % 6.32/6.50 (define @t261 () (tptp.epsilon_connected @t202)) % 6.32/6.50 (define @t262 () (= @t261 @t212)) % 6.32/6.50 (define @t263 () (@list false false)) % 6.32/6.50 (define @t264 () (not @t261)) % 6.32/6.50 (define @t265 () (tptp.epsilon_transitive @t202)) % 6.32/6.50 (define @t266 () (not @t265)) % 6.32/6.50 (define @t267 () (or @t266 @t264 @t225)) % 6.32/6.50 (define @t268 () (forall @t64 (or @t211 @t223))) % 6.32/6.50 (define @t269 () (= @t265 @t268)) % 6.32/6.50 (define @t270 () (not @t268)) % 6.32/6.50 (define @t271 () (@quantifiers_skolemize @t268 0)) % 6.32/6.50 (define @t272 () (tptp.subset @t271 @t202)) % 6.32/6.50 (define @t273 () (tptp.in @t271 @t202)) % 6.32/6.50 (define @t274 () (not @t273)) % 6.32/6.50 (define @t275 () (or @t274 @t272)) % 6.32/6.50 (define @t276 () (not @t275)) % 6.32/6.50 (define @t277 () (@list @t275)) % 6.32/6.50 (define @t278 () (and (tptp.ordinal @t271) @t272)) % 6.32/6.50 (define @t279 () (or @t274 @t278)) % 6.32/6.50 (assume @p1 (forall @t6 (=> @t5 @t4))) % 6.32/6.50 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 6.32/6.50 (assume @p3 (forall @t11 (=> @t10 @t9))) % 6.32/6.50 (assume @p4 (forall @t11 (=> @t15 @t14))) % 6.32/6.50 (assume @p5 (forall @t11 (=> @t10 @t16))) % 6.32/6.50 (assume @p6 (forall @t11 (=> @t19 @t18))) % 6.32/6.50 (assume @p7 @t20) % 6.32/6.50 (assume @p8 (forall @t11 (=> @t10 @t21))) % 6.32/6.50 (assume @p9 (forall @t6 (= @t22 (tptp.unordered_pair @t2 @t1)))) % 6.32/6.50 (assume @p10 (forall @t6 (= @t24 @t23))) % 6.32/6.50 (assume @p11 (forall @t6 (= @t25 (tptp.set_intersection2 @t2 @t1)))) % 6.32/6.50 (assume @p12 (forall @t6 (=> @t34 (= @t33 (forall @t31 (= @t30 (and @t28 (= @t27 @t26)))))))) % 6.32/6.50 (assume @p13 (forall @t6 (= @t37 (and @t36 @t35)))) % 6.32/6.50 (assume @p14 (forall @t11 (=> @t16 (forall @t46 (=> @t45 (= (= @t27 @t44) (forall @t43 (= @t42 (and @t41 @t40))))))))) % 6.32/6.50 (assume @p15 (forall @t11 (=> @t53 (forall @t46 (= @t52 (forall @t51 (= @t50 (exists @t49 (and (tptp.in @t38 @t48) @t47 (= @t26 (tptp.apply @t1 @t38))))))))))) % 6.32/6.50 (assume @p16 (forall @t6 (=> @t34 (forall @t56 (=> @t45 (= (= @t27 @t55) (forall @t43 (= @t42 (and @t54 (tptp.in @t39 @t2)))))))))) % 6.32/6.50 (assume @p17 (forall @t11 (=> @t53 (forall @t46 (= @t59 (forall @t51 (= @t50 (and @t58 (tptp.in @t57 @t2))))))))) % 6.32/6.50 (assume @p18 (forall @t11 (=> @t16 (forall @t46 (= @t52 (forall @t51 (= @t50 (exists @t49 (and (tptp.in (tptp.ordered_pair @t38 @t26) @t1) @t47))))))))) % 6.32/6.50 (assume @p19 (forall @t11 (=> @t16 (forall @t46 (= @t59 (forall @t51 (= @t50 (exists @t49 (and @t40 @t47))))))))) % 6.32/6.50 (assume @p20 (forall @t61 (= (= @t26 (tptp.unordered_triple @t1 @t2 @t27)) (forall @t49 (= @t60 (not (and (not (= @t38 @t1)) (not (= @t38 @t2)) (not (= @t38 @t27))))))))) % 6.32/6.50 (assume @p21 (forall @t11 (= @t63 (tptp.set_union2 @t1 @t62)))) % 6.32/6.50 (assume @p22 (forall @t11 (= @t16 (forall @t64 (not (and @t3 (forall @t31 (not (= @t2 @t29))))))))) % 6.32/6.50 (assume @p23 (forall @t6 (and (=> @t71 (= @t66 (forall @t56 (= @t70 (forall @t51 (=> @t69 @t68)))))) (=> @t67 (= @t66 @t65))))) % 6.32/6.50 (assume @p24 (forall @t6 (= (= @t2 @t62) (forall @t56 (= @t70 (= @t27 @t1)))))) % 6.32/6.50 (assume @p25 (forall @t11 (= @t67 (forall @t64 @t4)))) % 6.32/6.50 (assume @p26 (forall @t6 (= (= @t2 @t72) (forall @t56 (= @t70 (tptp.subset @t27 @t1)))))) % 6.32/6.50 (assume @p27 @t75) % 6.32/6.50 (assume @p28 (forall @t11 (=> @t16 (forall @t64 (=> @t34 (= @t37 (forall @t31 (= @t76 @t30)))))))) % 6.32/6.50 (assume @p29 (forall @t6 (and (=> @t79 (= @t78 @t3)) (=> @t10 (= @t78 @t77))))) % 6.32/6.50 (assume @p30 (forall @t80 (= (= @t27 @t22) (forall @t51 (= @t50 (or (= @t26 @t1) (= @t26 @t2))))))) % 6.32/6.50 (assume @p31 (forall @t80 (= (= @t27 @t24) (forall @t51 (= @t50 (or @t69 @t41)))))) % 6.32/6.50 (assume @p32 (forall @t80 (= (= @t27 @t82) (forall @t51 (= @t50 (exists (@list @t38 @t81) (and @t54 (tptp.in @t81 @t2) (= @t26 (tptp.ordered_pair @t38 @t81))))))))) % 6.32/6.50 (assume @p33 @t90) % 6.32/6.50 (assume @p34 (forall @t11 (=> @t16 (forall @t64 (=> @t34 (= @t36 (forall @t31 (=> @t76 @t30)))))))) % 6.32/6.50 (assume @p35 (forall @t6 (= @t36 @t91))) % 6.32/6.50 (assume @p36 (forall @t80 (= (= @t27 @t25) (forall @t51 (= @t50 (and @t69 @t41)))))) % 6.32/6.50 (assume @p37 (forall @t11 (=> @t53 (forall @t46 (and (=> @t94 (= @t93 @t95)) (=> (not @t94) (= @t93 (= @t27 tptp.empty_set)))))))) % 6.32/6.50 (assume @p38 (forall @t11 (= @t15 @t14))) % 6.32/6.50 (assume @p39 (forall @t11 (=> @t16 (forall @t64 (= (= @t2 @t48) (forall @t56 (= @t70 (exists @t51 @t76)))))))) % 6.32/6.50 (assume @p40 (forall @t11 (= @t96 @t1))) % 6.32/6.50 (assume @p41 (forall @t6 (= (= @t2 (tptp.union @t1)) (forall @t56 (= @t70 (exists @t51 (and @t68 @t69))))))) % 6.32/6.50 (assume @p42 (forall @t80 (= (= @t27 @t97) (forall @t51 (= @t50 (and @t69 (not @t41))))))) % 6.32/6.50 (assume @p43 (forall @t11 (=> @t53 (forall @t64 (= @t100 (forall @t56 (= @t70 (exists @t51 @t98)))))))) % 6.32/6.50 (assume @p44 (forall @t11 (=> @t16 (forall @t64 (= @t100 (forall @t56 (= @t70 (exists @t51 @t101)))))))) % 6.32/6.50 (assume @p45 (forall @t6 (=> @t103 (= @t102 @t97)))) % 6.32/6.50 (assume @p46 (forall @t6 (= @t104 (tptp.unordered_pair @t22 @t62)))) % 6.32/6.50 (assume @p47 (forall @t11 (=> @t16 (= (tptp.relation_field @t1) (tptp.set_union2 @t48 @t99))))) % 6.32/6.50 (assume @p48 (forall @t11 (=> @t16 (forall @t64 (=> @t34 (= (= @t2 @t105) (forall @t31 (= @t30 @t101)))))))) % 6.32/6.50 (assume @p49 (forall @t6 (= @t106 (= @t25 tptp.empty_set)))) % 6.32/6.50 (assume @p50 (forall @t11 (=> @t53 (= @t17 (forall @t46 (=> (and @t94 (tptp.in @t27 @t48) (= @t92 (tptp.apply @t1 @t27))) @t84)))))) % 6.32/6.50 (assume @p51 (forall @t11 (=> @t16 (forall @t64 (=> @t34 (forall @t56 (=> @t45 (= (= @t27 @t107) (forall @t43 (= @t42 (exists (@list @t81) (and (tptp.in (tptp.ordered_pair @t26 @t81) @t1) (tptp.in (tptp.ordered_pair @t81 @t38) @t2))))))))))))) % 6.32/6.50 (assume @p52 (forall @t6 (=> @t110 (forall @t56 (=> (tptp.element @t27 @t109) (= (= @t27 @t108) (forall @t51 (=> (tptp.element @t26 @t72) (= @t50 (tptp.in (tptp.subset_complement @t1 @t26) @t2)))))))))) % 6.32/6.50 (assume @p53 (forall @t6 (= @t8 (and @t36 @t111)))) % 6.32/6.50 (assume @p54 (forall @t11 (=> @t53 (=> @t17 (= @t112 @t105))))) % 6.32/6.50 (assume @p55 true) % 6.32/6.50 (assume @p56 (forall @t11 (=> @t53 (and (tptp.relation @t112) (tptp.function @t112))))) % 6.32/6.50 (assume @p57 (forall @t11 (tptp.element @t96 @t72))) % 6.32/6.50 (assume @p58 (forall @t6 (=> @t103 (tptp.element @t102 @t72)))) % 6.32/6.50 (assume @p59 (forall @t11 (=> @t16 @t113))) % 6.32/6.50 (assume @p60 (forall @t6 (=> @t115 @t114))) % 6.32/6.50 (assume @p61 (forall @t6 (=> @t110 (tptp.element @t116 @t72)))) % 6.32/6.50 (assume @p62 (forall @t11 @t117)) % 6.32/6.50 (assume @p63 (forall @t6 (=> @t110 (tptp.element @t118 @t72)))) % 6.32/6.50 (assume @p64 (forall @t80 (=> @t121 (tptp.element @t119 @t72)))) % 6.32/6.50 (assume @p65 (forall @t6 (=> @t16 @t122))) % 6.32/6.50 (assume @p66 (forall @t6 (=> @t110 (tptp.element @t108 @t109)))) % 6.32/6.50 (assume @p67 (forall @t6 (=> @t34 (tptp.relation @t55)))) % 6.32/6.50 (assume @p68 (forall @t11 (exists @t64 @t78))) % 6.32/6.50 (assume @p69 (forall @t6 (=> @t124 (and (tptp.empty @t123) (tptp.relation @t123))))) % 6.32/6.50 (assume @p70 (forall @t11 (=> @t10 (and (tptp.empty @t105) @t113)))) % 6.32/6.50 (assume @p71 (and @t127 @t126 @t125)) % 6.32/6.50 (assume @p72 (forall @t6 (=> @t129 (and @t122 (tptp.relation_empty_yielding @t44))))) % 6.32/6.50 (assume @p73 (forall @t6 (=> (and @t16 @t9 @t34 @t130) (and @t114 (tptp.function @t107))))) % 6.32/6.50 (assume @p74 (forall @t11 (not (tptp.empty @t63)))) % 6.32/6.50 (assume @p75 (forall @t6 (=> @t115 (tptp.relation @t25)))) % 6.32/6.50 (assume @p76 (forall @t11 (not (tptp.empty @t72)))) % 6.32/6.50 (assume @p77 @t127) % 6.32/6.50 (assume @p78 (forall @t6 (not (tptp.empty @t104)))) % 6.32/6.50 (assume @p79 (forall @t11 (and @t117 (tptp.function @t32)))) % 6.32/6.50 (assume @p80 (and @t126 @t125 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t127 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 6.32/6.50 (assume @p81 (forall @t6 (=> @t115 (tptp.relation @t24)))) % 6.32/6.50 (assume @p82 (forall @t11 (not (tptp.empty @t62)))) % 6.32/6.50 (assume @p83 (forall @t6 (=> @t79 (not (tptp.empty @t24))))) % 6.32/6.50 (assume @p84 (forall @t11 (=> @t18 (and @t113 (tptp.function @t105))))) % 6.32/6.50 (assume @p85 (forall @t6 (=> @t115 (tptp.relation @t97)))) % 6.32/6.50 (assume @p86 (forall @t6 (not (tptp.empty @t22)))) % 6.32/6.50 (assume @p87 (forall @t6 (=> @t79 (not (tptp.empty @t23))))) % 6.32/6.50 (assume @p88 (forall @t6 (=> @t53 (and @t122 (tptp.function @t44))))) % 6.32/6.50 (assume @p89 (and @t127 @t126)) % 6.32/6.50 (assume @p90 (forall @t6 (=> (and @t79 @t131) (not (tptp.empty @t82))))) % 6.32/6.50 (assume @p91 (forall @t11 (=> @t133 (not @t132)))) % 6.32/6.50 (assume @p92 (forall @t11 (=> @t133 (not @t134)))) % 6.32/6.50 (assume @p93 (forall @t11 (=> @t10 (and @t132 (tptp.relation @t48))))) % 6.32/6.50 (assume @p94 (forall @t11 (=> @t10 (and @t134 (tptp.relation @t99))))) % 6.32/6.50 (assume @p95 (forall @t6 (=> @t124 (and (tptp.empty @t107) @t114)))) % 6.32/6.50 (assume @p96 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 6.32/6.50 (assume @p97 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 6.32/6.50 (assume @p98 (forall @t6 (=> @t103 (= (tptp.subset_complement @t1 @t102) @t2)))) % 6.32/6.50 (assume @p99 (forall @t11 (=> @t16 (= (tptp.relation_inverse @t105) @t1)))) % 6.32/6.50 (assume @p100 (forall @t6 (=> @t110 (= (tptp.complements_of_subsets @t1 @t108) @t2)))) % 6.32/6.50 (assume @p101 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 6.32/6.50 (assume @p102 (forall @t11 (not (= @t62 tptp.empty_set)))) % 6.32/6.50 (assume @p103 (forall @t6 (=> @t5 (= (tptp.set_union2 @t62 @t2) @t2)))) % 6.32/6.50 (assume @p104 (forall @t6 (not (and @t135 @t5)))) % 6.32/6.50 (assume @p105 (forall @t6 (=> @t136 @t135))) % 6.32/6.50 (assume @p106 (forall @t6 (= (tptp.subset @t62 @t2) @t5))) % 6.32/6.50 (assume @p107 (forall @t6 (= (= @t97 tptp.empty_set) @t36))) % 6.32/6.50 (assume @p108 (forall @t6 (=> @t103 (forall @t56 (=> @t70 @t28))))) % 6.32/6.50 (assume @p109 (forall @t80 (=> @t36 (or @t28 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t27))))))) % 6.32/6.50 (assume @p110 (forall @t6 (= (tptp.subset @t1 @t137) (or @t67 (= @t1 @t137))))) % 6.32/6.50 (assume @p111 (forall @t6 (=> @t5 (tptp.subset @t1 @t138)))) % 6.32/6.50 (assume @p112 (forall @t61 (= (tptp.in @t104 (tptp.cartesian_product2 @t27 @t26)) (and @t139 (tptp.in @t2 @t26))))) % 6.32/6.50 (assume @p113 (forall @t6 (=> @t91 @t140))) % 6.32/6.50 (assume @p114 (forall @t80 (=> @t144 (= @t143 (and (tptp.in @t2 @t141) @t3))))) % 6.32/6.50 (assume @p115 (exists @t11 @t53)) % 6.32/6.50 (assume @p116 (exists @t11 @t21)) % 6.32/6.50 (assume @p117 (exists @t11 (and @t10 @t16))) % 6.32/6.50 (assume @p118 (forall @t11 (=> @t79 (exists @t64 (and @t103 @t131))))) % 6.32/6.50 (assume @p119 (exists @t11 @t10)) % 6.32/6.50 (assume @p120 (exists @t11 @t19)) % 6.32/6.50 (assume @p121 (exists @t11 (and @t16 @t9 @t17 @t10 @t13 @t12 @t15))) % 6.32/6.50 (assume @p122 (exists @t11 @t133)) % 6.32/6.50 (assume @p123 (forall @t11 (exists @t64 (and @t103 @t77)))) % 6.32/6.50 (assume @p124 (exists @t11 @t79)) % 6.32/6.50 (assume @p125 (exists @t11 @t18)) % 6.32/6.50 (assume @p126 (exists @t11 (and @t79 @t13 @t12 @t15))) % 6.32/6.50 (assume @p127 (exists @t11 @t129)) % 6.32/6.50 (assume @p128 (exists @t11 (and @t16 @t128 @t9))) % 6.32/6.50 (assume @p129 (forall @t6 (=> @t110 (= @t116 @t138)))) % 6.32/6.50 (assume @p130 (forall @t6 (=> @t110 (= @t118 (tptp.set_meet @t2))))) % 6.32/6.50 (assume @p131 (forall @t80 (=> @t121 (= @t119 @t145)))) % 6.32/6.50 (assume @p132 (forall @t6 (tptp.subset @t1 @t1))) % 6.32/6.50 (assume @p133 (forall @t6 (=> @t106 (tptp.disjoint @t2 @t1)))) % 6.32/6.50 (assume @p134 (forall @t11 (tptp.in @t1 @t63))) % 6.32/6.50 (assume @p135 (forall @t61 (not (and (= @t22 (tptp.unordered_pair @t27 @t26)) (not @t146) (not (= @t1 @t26)))))) % 6.32/6.50 (assume @p136 (forall @t80 (=> @t45 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t27))) (and @t5 (tptp.in @t1 @t147)))))) % 6.32/6.50 (assume @p137 (forall @t6 (=> @t34 (tptp.subset @t148 @t1)))) % 6.32/6.50 (assume @p138 (forall @t6 (=> @t34 (tptp.subset @t55 @t2)))) % 6.32/6.50 (assume @p139 (forall @t6 (=> @t34 (tptp.subset @t148 @t149)))) % 6.32/6.50 (assume @p140 (forall @t80 (=> @t36 (and (tptp.subset @t150 (tptp.cartesian_product2 @t2 @t27)) (tptp.subset (tptp.cartesian_product2 @t27 @t1) (tptp.cartesian_product2 @t27 @t2)))))) % 6.32/6.50 (assume @p141 (forall @t6 (=> @t34 (= @t148 (tptp.set_intersection2 @t149 @t1))))) % 6.32/6.50 (assume @p142 (forall @t61 (=> (and @t36 (tptp.subset @t27 @t26)) (tptp.subset @t150 (tptp.cartesian_product2 @t2 @t26))))) % 6.32/6.50 (assume @p143 (forall @t6 (=> @t36 (= @t24 @t2)))) % 6.32/6.50 (assume @p144 (forall @t11 (exists @t64 (and @t5 @t154 (forall @t56 (=> @t70 (tptp.in @t153 @t2))) @t152)))) % 6.32/6.50 (assume @p145 (forall @t80 (=> @t45 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t27) @t2) (tptp.relation_rng_restriction @t1 @t155))))) % 6.32/6.50 (assume @p146 (forall @t80 (=> @t45 (= (tptp.in @t1 (tptp.relation_image @t27 @t2)) (exists @t51 (and (tptp.in @t26 @t141) (tptp.in (tptp.ordered_pair @t26 @t1) @t27) @t41)))))) % 6.32/6.50 (assume @p147 (forall @t6 (=> @t34 (tptp.subset @t156 @t149)))) % 6.32/6.50 (assume @p148 (forall @t6 (=> @t159 (tptp.subset @t158 @t1)))) % 6.32/6.50 (assume @p149 (forall @t6 (=> @t34 (= @t156 (tptp.relation_image @t2 @t161))))) % 6.32/6.50 (assume @p150 (forall @t6 (=> @t34 (=> (tptp.subset @t1 @t160) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t156)))))) % 6.32/6.50 (assume @p151 (forall @t11 (=> @t16 (= (tptp.relation_image @t1 @t48) @t99)))) % 6.32/6.50 (assume @p152 (forall @t6 (=> @t159 (=> @t162 (= @t158 @t1))))) % 6.32/6.50 (assume @p153 (forall @t11 (=> @t16 (forall @t64 (=> @t34 (= @t163 (tptp.relation_image @t2 @t99))))))) % 6.32/6.50 (assume @p154 (forall @t80 (=> @t45 (= (tptp.in @t1 @t164) (exists @t51 (and (tptp.in @t26 @t147) (tptp.in (tptp.ordered_pair @t1 @t26) @t27) @t41)))))) % 6.32/6.50 (assume @p155 (forall @t6 (=> @t34 (tptp.subset @t157 @t160)))) % 6.32/6.50 (assume @p156 (forall @t6 (=> @t34 (not (and @t71 @t162 (= @t157 tptp.empty_set)))))) % 6.32/6.50 (assume @p157 (forall @t80 (=> @t45 (=> @t36 (tptp.subset (tptp.relation_inverse_image @t27 @t1) @t164))))) % 6.32/6.50 (assume @p158 (forall @t6 (tptp.subset @t25 @t1))) % 6.32/6.50 (assume @p159 (forall @t80 (=> (and @t36 @t166) (tptp.subset @t1 @t165)))) % 6.32/6.50 (assume @p160 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 6.32/6.50 (assume @p161 (forall @t6 (=> @t5 @t167))) % 6.32/6.50 (assume @p162 (forall @t80 (=> (and @t36 (tptp.subset @t2 @t27)) @t166))) % 6.32/6.50 (assume @p163 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 6.32/6.50 (assume @p164 (forall @t80 (=> @t45 (=> @t169 (and @t168 (tptp.in @t2 @t147)))))) % 6.32/6.50 (assume @p165 (forall @t6 (=> @t159 (forall @t56 (=> @t144 (= @t172 (and @t168 (tptp.in @t170 @t160)))))))) % 6.32/6.50 (assume @p166 (forall @t11 (=> @t13 (forall @t64 (=> @t173 (=> @t8 @t5)))))) % 6.32/6.50 (assume @p167 (forall @t11 (=> @t16 (tptp.subset @t1 (tptp.cartesian_product2 @t48 @t99))))) % 6.32/6.50 (assume @p168 (forall @t6 (=> @t159 (forall @t56 (=> @t144 (=> @t172 (= (tptp.apply @t171 @t1) (tptp.apply @t2 @t170)))))))) % 6.32/6.50 (assume @p169 (forall @t6 (=> @t159 (forall @t56 (=> @t144 (=> (tptp.in @t1 @t160) (= (tptp.apply (tptp.relation_composition @t2 @t27) @t1) (tptp.apply @t27 (tptp.apply @t2 @t1))))))))) % 6.32/6.50 (assume @p170 (forall @t6 (=> @t173 (=> @t5 @t15)))) % 6.32/6.50 (assume @p171 @t177) % 6.32/6.50 (assume @p172 (forall @t11 (=> @t16 (forall @t64 (=> @t34 (=> @t36 (and (tptp.subset @t48 @t160) (tptp.subset @t99 @t149)))))))) % 6.32/6.50 (assume @p173 (forall @t80 (=> @t36 (tptp.subset (tptp.set_intersection2 @t1 @t27) @t165)))) % 6.32/6.50 (assume @p174 (forall @t6 (=> @t36 (= @t25 @t1)))) % 6.32/6.50 (assume @p175 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 6.32/6.50 (assume @p176 (forall @t6 (=> @t167 (or @t77 @t5)))) % 6.32/6.50 (assume @p177 (forall @t6 (=> (forall @t56 (= @t28 @t70)) @t37))) % 6.32/6.50 (assume @p178 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 6.32/6.50 (assume @p179 (forall @t80 (=> @t45 (=> @t169 (and (tptp.in @t1 @t178) (tptp.in @t2 @t178)))))) % 6.32/6.50 (assume @p180 @t183) % 6.32/6.50 (assume @p181 (forall @t80 (=> @t36 (tptp.subset (tptp.set_difference @t1 @t27) @t145)))) % 6.32/6.50 (assume @p182 (forall @t61 (=> (= @t104 @t29) (and @t146 (= @t2 @t26))))) % 6.32/6.50 (assume @p183 (forall @t6 (=> @t159 (= @t33 (and (= @t160 @t1) (forall @t56 (=> @t28 (= @t184 @t27)))))))) % 6.32/6.50 (assume @p184 (forall @t6 (=> @t3 (= (tptp.apply @t32 @t2) @t2)))) % 6.32/6.50 (assume @p185 (forall @t6 (tptp.subset @t97 @t1))) % 6.32/6.50 (assume @p186 (forall @t11 (=> @t16 (and (= @t99 (tptp.relation_dom @t105)) (= @t48 (tptp.relation_rng @t105)))))) % 6.32/6.50 (assume @p187 (forall @t80 (= (tptp.subset @t22 @t27) (and @t139 @t86)))) % 6.32/6.50 (assume @p188 (forall @t6 (= @t185 @t24))) % 6.32/6.50 (assume @p189 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 6.32/6.50 (assume @p190 (forall @t80 (not (and @t5 @t86 @t28)))) % 6.32/6.50 (assume @p191 (forall @t6 (= @t140 @t36))) % 6.32/6.50 (assume @p192 (forall @t6 (and (not (and @t187 (forall @t56 (not @t186)))) (not (and (exists @t56 @t186) @t106))))) % 6.32/6.50 (assume @p193 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t67))) % 6.32/6.50 (assume @p194 (forall @t6 (= (tptp.set_difference @t24 @t2) @t97))) % 6.32/6.50 (assume @p195 (forall @t6 (=> @t103 (forall @t56 (=> @t120 (= @t189 (tptp.subset @t2 @t188))))))) % 6.32/6.50 (assume @p196 (forall @t11 (=> @t16 (forall @t64 (=> @t34 (tptp.subset @t190 @t48)))))) % 6.32/6.50 (assume @p197 (forall @t11 (=> @t16 (forall @t64 (=> @t34 (tptp.subset @t163 @t149)))))) % 6.32/6.50 (assume @p198 (forall @t6 (=> @t36 (= @t2 @t185)))) % 6.32/6.50 (assume @p199 (forall @t11 (=> @t16 (forall @t64 (=> @t34 (=> (tptp.subset @t99 @t160) (= @t190 @t48))))))) % 6.32/6.50 (assume @p200 (forall @t6 (=> @t110 (not (and @t191 (= @t108 tptp.empty_set)))))) % 6.32/6.50 (assume @p201 (forall @t11 (=> @t16 (forall @t64 (=> @t34 (=> (tptp.subset @t48 @t149) (= (tptp.relation_rng @t123) @t99))))))) % 6.32/6.50 (assume @p202 (forall @t6 (=> @t110 (=> @t191 (= (tptp.subset_difference @t1 @t96 @t116) (tptp.meet_of_subsets @t1 @t108)))))) % 6.32/6.50 (assume @p203 (forall @t6 (=> @t110 (=> @t191 (= (tptp.union_of_subsets @t1 @t108) (tptp.subset_difference @t1 @t96 @t118)))))) % 6.32/6.50 (assume @p204 (forall @t6 (= (tptp.set_difference @t1 @t97) @t25))) % 6.32/6.50 (assume @p205 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 6.32/6.50 (assume @p206 (forall @t80 (=> (and @t5 @t192) (tptp.element @t1 @t27)))) % 6.32/6.50 (assume @p207 (forall @t6 (and (not (and @t187 (forall @t56 (not @t193)))) (not (and (exists @t56 @t193) @t106))))) % 6.32/6.50 (assume @p208 (forall @t11 (=> @t71 (forall @t64 (=> @t103 (forall @t56 (=> (tptp.element @t27 @t1) (=> @t83 (tptp.in @t27 @t102))))))))) % 6.32/6.50 (assume @p209 (forall @t11 (=> @t53 (=> @t17 (forall @t64 (=> @t159 (= (= @t2 @t112) (and (= @t160 @t99) (forall @t31 (and (=> @t194 @t98) (=> @t98 @t194))))))))))) % 6.32/6.50 (assume @p210 (forall @t80 (=> @t120 (not (and (tptp.in @t2 @t188) @t86))))) % 6.32/6.50 (assume @p211 (forall @t11 (=> @t53 (=> @t17 (and (= @t99 (tptp.relation_dom @t112)) (= @t48 (tptp.relation_rng @t112))))))) % 6.32/6.50 (assume @p212 (forall @t11 (=> @t16 (=> (forall @t46 (not @t95)) @t67)))) % 6.32/6.50 (assume @p213 (forall @t6 (=> @t159 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t149)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t195 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t195 @t2) @t1))))))) % 6.32/6.50 (assume @p214 (forall @t80 (not (and @t5 @t192 (tptp.empty @t27))))) % 6.32/6.50 (assume @p215 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 6.32/6.50 (assume @p216 (forall @t6 (not (and @t36 @t7)))) % 6.32/6.50 (assume @p217 (forall @t11 (=> @t53 (=> @t17 (tptp.one_to_one @t112))))) % 6.32/6.50 (assume @p218 (forall @t80 (=> (and @t36 @t189) (tptp.disjoint @t1 @t27)))) % 6.32/6.50 (assume @p219 (forall @t11 (=> @t16 (=> (or @t197 @t196) @t67)))) % 6.32/6.50 (assume @p220 (forall @t11 (=> @t16 (= @t197 @t196)))) % 6.32/6.50 (assume @p221 (forall @t6 (= (= (tptp.set_difference @t1 @t137) @t1) @t4))) % 6.32/6.50 (assume @p222 (forall @t6 (=> @t159 (forall @t56 (=> @t144 (= (= @t2 @t142) (and (= @t160 (tptp.set_intersection2 @t141 @t1)) (forall @t51 (=> (tptp.in @t26 @t160) (= (tptp.apply @t2 @t26) (tptp.apply @t27 @t26))))))))))) % 6.32/6.50 (assume @p223 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t62))) % 6.32/6.50 (assume @p224 (forall @t11 (=> @t10 @t67))) % 6.32/6.50 (assume @p225 (forall @t6 (=> (tptp.subset @t62 @t137) @t37))) % 6.32/6.50 (assume @p226 (forall @t80 (=> @t144 (=> @t143 @t198)))) % 6.32/6.50 (assume @p227 (forall @t11 (and (= (tptp.relation_dom @t32) @t1) (= (tptp.relation_rng @t32) @t1)))) % 6.32/6.50 (assume @p228 (forall @t80 (=> @t144 (=> @t3 @t198)))) % 6.32/6.50 (assume @p229 (forall @t61 (=> (tptp.relation @t26) (= (tptp.in @t104 (tptp.relation_composition (tptp.identity_relation @t27) @t26)) (and @t139 (tptp.in @t104 @t26)))))) % 6.32/6.50 (assume @p230 (forall @t6 (not (and @t5 @t77)))) % 6.32/6.50 (assume @p231 (forall @t6 (not (and @t5 (forall @t56 (not (and @t70 (forall @t51 (not (and @t41 @t50)))))))))) % 6.32/6.50 (assume @p232 (forall @t6 (tptp.subset @t1 @t24))) % 6.32/6.50 (assume @p233 (forall @t6 (= @t106 (= @t97 @t1)))) % 6.32/6.50 (assume @p234 (forall @t80 (=> @t45 (= (tptp.in @t1 (tptp.relation_dom @t155)) (and @t5 @t168))))) % 6.32/6.50 (assume @p235 (forall @t6 (=> @t34 (tptp.subset @t199 @t2)))) % 6.32/6.50 (assume @p236 (forall @t6 (not (and @t10 @t111 @t77)))) % 6.32/6.50 (assume @p237 (forall @t80 (=> @t144 (= @t169 (and @t168 (= @t2 @t170)))))) % 6.32/6.50 (assume @p238 (forall @t80 (=> (and @t36 @t151) (tptp.subset (tptp.set_union2 @t1 @t27) @t2)))) % 6.32/6.50 (assume @p239 (forall @t80 (=> @t200 @t37))) % 6.32/6.50 (assume @p240 (forall @t6 (=> @t34 (= (tptp.relation_dom @t199) @t161)))) % 6.32/6.50 (assume @p241 (forall @t6 (=> @t34 (= @t199 (tptp.relation_composition @t32 @t2))))) % 6.32/6.50 (assume @p242 (forall @t6 (=> @t34 (tptp.subset (tptp.relation_rng @t199) @t149)))) % 6.32/6.50 (assume @p243 (forall @t11 (= (tptp.union @t72) @t1))) % 6.32/6.50 (assume @p244 (forall @t11 (exists @t64 (and @t5 @t154 (forall @t56 (not (and @t70 (forall @t51 (not (and @t41 (forall @t49 (=> (tptp.subset @t38 @t27) @t60)))))))) @t152)))) % 6.32/6.50 (assume @p245 (forall @t80 (=> @t200 @t84))) % 6.32/6.50 (step @p246 :rule bool-impl-elim :args (@t3 @t35)) % 6.32/6.50 (step @p247 :rule cong :premises (@p246) :args (@t73)) % 6.32/6.50 (step @p248 :rule refl :args (@t13)) % 6.32/6.50 (step @p249 :rule cong :premises (@p248 @p247) :args (@t74)) % 6.32/6.50 (step @p250 :rule cong :premises (@p249) :args (@t75)) % 6.32/6.50 (step @p251 :rule eq_resolve :premises (@p27 @p250)) % 6.32/6.50 (step @p252 :rule instantiate :premises (@p251) :args (@t203)) % 6.32/6.50 (step @p253 :rule aci_norm :args ((= (or (or @t205 @t204) @t15) (or @t205 @t204 @t15)))) % 6.32/6.50 (step @p254 :rule refl :args (@t15)) % 6.32/6.50 (step @p255 :rule bool-and-de-morgan :args (@t13 @t12 true)) % 6.32/6.50 (step @p256 :rule nary_cong :premises (@p255 @p254) :args ((or (not @t14) @t15))) % 6.32/6.50 (step @p257 :rule trans :premises (@p256 @p253)) % 6.32/6.50 (step @p258 :rule bool-impl-elim :args (@t14 @t15)) % 6.32/6.50 (step @p259 :rule trans :premises (@p258 @p257)) % 6.32/6.50 (step @p260 :rule cong :premises (@p259) :args (@t20)) % 6.32/6.50 (step @p261 :rule eq_resolve :premises (@p7 @p260)) % 6.32/6.50 (step @p262 :rule instantiate :premises (@p261) :args (@t203)) % 6.32/6.50 (step @p263 :rule bool-double-not-elim :args (@t70)) % 6.32/6.50 (step @p264 :rule bool-double-not-elim :args (@t84)) % 6.32/6.50 (step @p265 :rule bool-double-not-elim :args (@t86)) % 6.32/6.50 (step @p266 :rule refl :args (@t206)) % 6.32/6.50 (step @p267 :rule refl :args (@t4)) % 6.32/6.50 (step @p268 :rule nary_cong :premises (@p267 @p266 @p265 @p264 @p263) :args (@t210)) % 6.32/6.50 (step @p269 :rule aci_norm :args ((= (or @t4 (or @t206 (or @t209 (or @t208 @t207)))) @t210))) % 6.32/6.50 (step @p270 :rule trans :premises (@p269 @p268)) % 6.32/6.50 (step @p271 :rule bool-and-de-morgan :args (@t85 @t83 true)) % 6.32/6.50 (step @p272 :rule refl :args (@t209)) % 6.32/6.50 (step @p273 :rule nary_cong :premises (@p272 @p271) :args ((or @t209 (not (and @t85 @t83))))) % 6.32/6.50 (step @p274 :rule bool-and-de-morgan :args (@t87 @t85 (and @t83))) % 6.32/6.50 (step @p275 :rule trans :premises (@p274 @p273)) % 6.32/6.50 (step @p276 :rule nary_cong :premises (@p266 @p275) :args ((or @t206 (not (and @t87 @t85 @t83))))) % 6.32/6.50 (step @p277 :rule bool-and-de-morgan :args (@t28 @t87 (and @t85 @t83))) % 6.32/6.50 (step @p278 :rule trans :premises (@p277 @p276)) % 6.32/6.50 (step @p279 :rule nary_cong :premises (@p267 @p278) :args ((or @t4 (not (and @t28 @t87 @t85 @t83))))) % 6.32/6.50 (step @p280 :rule bool-and-de-morgan :args (@t3 @t28 (and @t87 @t85 @t83))) % 6.32/6.50 (step @p281 :rule trans :premises (@p280 @p279)) % 6.32/6.50 (step @p282 :rule trans :premises (@p281 @p270)) % 6.32/6.50 (step @p283 :rule cong :premises (@p282) :args (@t88)) % 6.32/6.50 (step @p284 :rule refl :args (@t12)) % 6.32/6.50 (step @p285 :rule cong :premises (@p284 @p283) :args (@t89)) % 6.32/6.50 (step @p286 :rule cong :premises (@p285) :args (@t90)) % 6.32/6.50 (step @p287 :rule eq_resolve :premises (@p33 @p286)) % 6.32/6.50 (step @p288 :rule instantiate :premises (@p287) :args (@t203)) % 6.32/6.50 (step @p289 :rule bool-double-not-elim :args (@t214)) % 6.32/6.50 (step @p290 :rule refl :args (@t222)) % 6.32/6.50 (step @p291 :rule nary_cong :premises (@p290 @p289) :args ((or @t222 (not @t221)))) % 6.32/6.50 (step @p292 :rule cnf_or_neg :args (@t222 0)) % 6.32/6.50 (step @p293 :rule eq_resolve :premises (@p292 @p291)) % 6.32/6.50 (step @p294 :rule reordering :premises (@p293) :args ((or @t214 @t222))) % 6.32/6.50 (step @p295 :rule bool-double-not-elim :args (@t219)) % 6.32/6.50 (step @p296 :rule nary_cong :premises (@p290 @p295) :args ((or @t222 (not @t220)))) % 6.32/6.50 (step @p297 :rule cnf_or_neg :args (@t222 1)) % 6.32/6.50 (step @p298 :rule eq_resolve :premises (@p297 @p296)) % 6.32/6.50 (step @p299 :rule reordering :premises (@p298) :args ((or @t219 @t222))) % 6.32/6.50 (step @p300 :rule cnf_or_neg :args (@t222 2)) % 6.32/6.50 (step @p301 :rule cnf_or_neg :args (@t222 3)) % 6.32/6.50 (step @p302 :rule cnf_or_neg :args (@t222 4)) % 6.32/6.50 (step @p303 :rule bool-impl-elim :args (@t201 @t15)) % 6.32/6.50 (step @p304 :rule cong :premises (@p303) :args ((forall @t11 (=> @t201 @t15)))) % 6.32/6.50 (step @p305 :rule refl :args (@t15)) % 6.32/6.50 (step @p306 :rule bool-impl-elim :args (@t3 @t179)) % 6.32/6.50 (step @p307 :rule cong :premises (@p306) :args (@t180)) % 6.32/6.50 (step @p308 :rule cong :premises (@p307 @p305) :args (@t181)) % 6.32/6.50 (step @p309 :rule cong :premises (@p308) :args (@t182)) % 6.32/6.50 (step @p310 :rule trans :premises (@p309 @p304)) % 6.32/6.50 (step @p311 :rule cong :premises (@p310) :args (@t183)) % 6.32/6.50 (step @p312 :rule eq_resolve :premises (@p180 @p311)) % 6.32/6.50 (step @p313 :rule skolemize :premises (@p312)) % 6.32/6.50 (step @p314 :rule bool-double-not-elim :args (@t224)) % 6.32/6.50 (step @p315 :rule refl :args (@t227)) % 6.32/6.50 (step @p316 :rule nary_cong :premises (@p315 @p314) :args ((or @t227 (not @t226)))) % 6.32/6.50 (step @p317 :rule cnf_or_neg :args (@t227 0)) % 6.32/6.50 (step @p318 :rule eq_resolve :premises (@p317 @p316)) % 6.32/6.50 (step @p319 :rule reordering :premises (@p318) :args ((or @t224 @t227))) % 6.32/6.50 (step @p320 :rule chain_m_resolution :premises (@p319 @p313) :args (@t224 @t228 @t229)) % 6.32/6.50 (step @p321 :rule instantiate :premises (@p320) :args ((@list @t213))) % 6.32/6.50 (step @p322 :rule cnf_or_pos :args (@t232)) % 6.32/6.50 (step @p323 :rule reordering :premises (@p322) :args ((or @t221 @t231 (not @t232)))) % 6.32/6.50 (step @p324 :rule instantiate :premises (@p320) :args ((@list @t215))) % 6.32/6.50 (step @p325 :rule cnf_or_pos :args (@t235)) % 6.32/6.50 (step @p326 :rule reordering :premises (@p325) :args ((or @t220 @t234 (not @t235)))) % 6.32/6.50 (step @p327 :rule cnf_and_pos :args (@t231 0)) % 6.32/6.50 (step @p328 :rule reordering :premises (@p327) :args ((or @t230 (not @t231)))) % 6.32/6.50 (step @p329 :rule cnf_and_pos :args (@t234 0)) % 6.32/6.50 (step @p330 :rule reordering :premises (@p329) :args ((or @t233 (not @t234)))) % 6.32/6.50 (step @p331 :rule aci_norm :args ((= @t243 (or @t241 @t240 @t239 @t238 @t237)))) % 6.32/6.50 (step @p332 :rule cong :premises (@p331) :args (@t244)) % 6.32/6.50 (step @p333 :rule quant-merge-prenex :args ((= (forall @t11 @t246) @t244))) % 6.32/6.50 (step @p334 :rule alpha_equiv :args (@t247 (@list @t236) (@list @t2))) % 6.32/6.50 (step @p335 :rule refl :args (@t241)) % 6.32/6.50 (step @p336 :rule nary_cong :premises (@p335 @p334) :args (@t248)) % 6.32/6.50 (step @p337 :rule quant-miniscope-or :args ((= @t246 @t248))) % 6.32/6.50 (step @p338 :rule trans :premises (@p337 @p336)) % 6.32/6.50 (step @p339 :rule symm :premises (@p338)) % 6.32/6.50 (step @p340 :rule cong :premises (@p339) :args ((forall @t11 (or @t241 @t251)))) % 6.32/6.50 (step @p341 :rule trans :premises (@p340 @p333)) % 6.32/6.50 (step @p342 :rule trans :premises (@p341 @p332)) % 6.32/6.50 (step @p343 :rule bool-impl-elim :args (@t15 @t251)) % 6.32/6.50 (step @p344 :rule cong :premises (@p343) :args ((forall @t11 (=> @t15 @t251)))) % 6.32/6.50 (step @p345 :rule trans :premises (@p344 @p342)) % 6.32/6.50 (step @p346 :rule aci_norm :args ((= (or @t249 (or @t5 @t37 @t3)) @t250))) % 6.32/6.50 (step @p347 :rule bool-double-not-elim :args (@t3)) % 6.32/6.50 (step @p348 :rule bool-double-not-elim :args (@t37)) % 6.32/6.50 (step @p349 :rule bool-double-not-elim :args (@t5)) % 6.32/6.50 (step @p350 :rule nary_cong :premises (@p349 @p348 @p347) :args (@t255)) % 6.32/6.50 (step @p351 :rule aci_norm :args ((= (or @t254 (or @t253 @t252)) @t255))) % 6.32/6.50 (step @p352 :rule trans :premises (@p351 @p350)) % 6.32/6.50 (step @p353 :rule bool-and-de-morgan :args (@t111 @t4 true)) % 6.32/6.50 (step @p354 :rule refl :args (@t254)) % 6.32/6.50 (step @p355 :rule nary_cong :premises (@p354 @p353) :args ((or @t254 (not (and @t111 @t4))))) % 6.32/6.50 (step @p356 :rule bool-and-de-morgan :args (@t136 @t111 (and @t4))) % 6.32/6.50 (step @p357 :rule trans :premises (@p356 @p355)) % 6.32/6.50 (step @p358 :rule trans :premises (@p357 @p352)) % 6.32/6.50 (step @p359 :rule refl :args (@t249)) % 6.32/6.50 (step @p360 :rule nary_cong :premises (@p359 @p358) :args ((or @t249 @t174))) % 6.32/6.50 (step @p361 :rule trans :premises (@p360 @p346)) % 6.32/6.50 (step @p362 :rule bool-impl-elim :args (@t173 @t174)) % 6.32/6.54 (step @p363 :rule trans :premises (@p362 @p361)) % 6.32/6.54 (step @p364 :rule cong :premises (@p363) :args (@t175)) % 6.32/6.54 (step @p365 :rule cong :premises (@p305 @p364) :args (@t176)) % 6.32/6.54 (step @p366 :rule cong :premises (@p365) :args (@t177)) % 6.32/6.54 (step @p367 :rule trans :premises (@p366 @p345)) % 6.32/6.54 (step @p368 :rule eq_resolve :premises (@p171 @p367)) % 6.32/6.54 (step @p369 :rule instantiate :premises (@p368) :args ((@list @t213 @t215))) % 6.32/6.54 (step @p370 :rule cnf_or_pos :args (@t258)) % 6.32/6.54 (step @p371 :rule reordering :premises (@p370) :args ((or @t218 @t217 @t216 @t256 @t257 (not @t258)))) % 6.32/6.54 (step @p372 :rule chain_m_resolution :premises (@p371 @p369 @p330 @p328 @p326 @p324 @p323 @p321 @p302 @p301 @p300 @p299 @p294) :args (@t222 (@list false false false false false false false true true true false false) (@list @t258 @t233 @t230 @t234 @t235 @t231 @t232 @t216 @t217 @t218 @t219 @t214))) % 6.32/6.54 (step @p373 :rule refl :args (@t259)) % 6.32/6.54 (step @p374 :rule bool-double-not-elim :args (@t212)) % 6.32/6.54 (step @p375 :rule nary_cong :premises (@p374 @p373) :args ((or (not @t260) @t259))) % 6.32/6.54 (assume-push @p420 @t260) % 6.32/6.54 (step @p377 :rule skolemize :premises (@p420)) % 6.32/6.54 (step-pop @p421 :rule scope :premises (@p377)) % 6.32/6.54 (step @p378 :rule process_scope :premises (@p421) :args (@t259)) % 6.32/6.54 (step @p380 :rule implies_elim :premises (@p378)) % 6.32/6.54 (step @p381 :rule eq_resolve :premises (@p380 @p375)) % 6.32/6.54 (step @p382 :rule chain_m_resolution :premises (@p381 @p372) :args (@t212 (@list false) (@list @t222))) % 6.32/6.54 (step @p383 :rule cnf_equiv_pos2 :args (@t262)) % 6.32/6.54 (step @p384 :rule reordering :premises (@p383) :args ((or @t261 @t260 (not @t262)))) % 6.32/6.54 (step @p385 :rule chain_m_resolution :premises (@p384 @p382 @p288) :args (@t261 @t263 (@list @t212 @t262))) % 6.32/6.54 (step @p386 :rule cnf_or_neg :args (@t227 1)) % 6.32/6.54 (step @p387 :rule chain_m_resolution :premises (@p386 @p313) :args ((not @t225) @t228 @t229)) % 6.32/6.54 (step @p388 :rule cnf_or_pos :args (@t267)) % 6.32/6.54 (step @p389 :rule reordering :premises (@p388) :args ((or @t225 @t266 @t264 (not @t267)))) % 6.32/6.54 (step @p390 :rule chain_m_resolution :premises (@p389 @p387 @p385 @p262) :args (@t266 (@list true false false) (@list @t225 @t261 @t267))) % 6.32/6.54 (step @p391 :rule cnf_equiv_pos2 :args (@t269)) % 6.32/6.54 (step @p392 :rule reordering :premises (@p391) :args ((or @t265 @t270 (not @t269)))) % 6.32/6.54 (step @p393 :rule chain_m_resolution :premises (@p392 @p390 @p252) :args (@t270 (@list true false) (@list @t265 @t269))) % 6.32/6.54 (step @p394 :rule refl :args (@t276)) % 6.32/6.54 (step @p395 :rule bool-double-not-elim :args (@t268)) % 6.32/6.54 (step @p396 :rule nary_cong :premises (@p395 @p394) :args ((or (not @t270) @t276))) % 6.32/6.54 (assume-push @p422 @t270) % 6.32/6.54 (step @p398 :rule skolemize :premises (@p422)) % 6.32/6.54 (step-pop @p423 :rule scope :premises (@p398)) % 6.32/6.54 (step @p399 :rule process_scope :premises (@p423) :args (@t276)) % 6.32/6.54 (step @p401 :rule implies_elim :premises (@p399)) % 6.32/6.54 (step @p402 :rule eq_resolve :premises (@p401 @p396)) % 6.32/6.54 (step @p403 :rule chain_m_resolution :premises (@p402 @p393) :args (@t276 @t228 (@list @t268))) % 6.32/6.54 (step @p404 :rule cnf_or_neg :args (@t275 1)) % 6.32/6.54 (step @p405 :rule chain_m_resolution :premises (@p404 @p403) :args ((not @t272) @t228 @t277)) % 6.32/6.54 (step @p406 :rule instantiate :premises (@p320) :args ((@list @t271))) % 6.32/6.54 (step @p407 :rule bool-double-not-elim :args (@t273)) % 6.32/6.54 (step @p408 :rule refl :args (@t275)) % 6.32/6.54 (step @p409 :rule nary_cong :premises (@p408 @p407) :args ((or @t275 (not @t274)))) % 6.32/6.54 (step @p410 :rule cnf_or_neg :args (@t275 0)) % 6.32/6.54 (step @p411 :rule eq_resolve :premises (@p410 @p409)) % 6.32/6.54 (step @p412 :rule reordering :premises (@p411) :args ((or @t273 @t275))) % 6.32/6.54 (step @p413 :rule chain_m_resolution :premises (@p412 @p403) :args (@t273 @t228 @t277)) % 6.32/6.54 (step @p414 :rule cnf_or_pos :args (@t279)) % 6.32/6.54 (step @p415 :rule reordering :premises (@p414) :args ((or @t274 @t278 (not @t279)))) % 6.32/6.54 (step @p416 :rule chain_m_resolution :premises (@p415 @p413 @p406) :args (@t278 @t263 (@list @t273 @t279))) % 6.32/6.54 (step @p417 :rule cnf_and_pos :args (@t278 1)) % 6.32/6.54 (step @p418 :rule reordering :premises (@p417) :args ((or @t272 (not @t278)))) % 6.32/6.54 (step @p419 false :rule chain_m_resolution :premises (@p418 @p416 @p405) :args (false (@list false true) (@list @t278 @t272))) % 6.32/6.54 ) % 6.32/6.54 % SZS output end Proof % 6.32/6.54 % cvc5 exiting %------------------------------------------------------------------------------