%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU232+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 : n019.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 08:51:03 AM UTC 2026 % Result : Theorem 281.12s 281.43s % Output : Proof 281.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU232+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n019.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:44:34 EDT 2026 % 0.18/0.35 % CPUTime : % 0.39/0.57 %----Proving TF0_NAR, FOF, or CNF % 281.12/281.43 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 281.12/281.43 --- Run --no-e-matching --full-saturate-quant at 6... % 281.12/281.43 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 281.12/281.43 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 281.12/281.43 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 281.12/281.43 --- Run --trigger-sel=max --full-saturate-quant at 15... % 281.12/281.43 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 281.12/281.43 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 281.12/281.43 --- Run --prenex-quant=none --full-saturate-quant at 30... % 281.12/281.43 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 281.12/281.43 --- Run --relevant-triggers --full-saturate-quant at 30... % 281.12/281.43 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 281.12/281.43 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 281.12/281.43 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 281.12/281.43 --- Run --no-cbqi --full-saturate-quant at 9... % 281.12/281.43 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant at 15... % 281.12/281.43 % SZS status Theorem % 281.12/281.43 % SZS output start Proof % 281.12/281.43 ( % 281.12/281.43 (declare-sort $$unsorted 0) % 281.12/281.43 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 281.12/281.43 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.empty (-> $$unsorted Bool)) % 281.12/281.43 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.relation (-> $$unsorted Bool)) % 281.12/281.43 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 281.12/281.43 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 281.12/281.43 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.empty_set $$unsorted) % 281.12/281.43 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 281.12/281.43 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 281.12/281.43 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 281.12/281.43 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 281.12/281.43 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 281.12/281.43 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 281.12/281.43 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.function (-> $$unsorted Bool)) % 281.12/281.43 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 281.12/281.43 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 281.12/281.43 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 281.12/281.43 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 281.12/281.43 (define @t1 () (@var "A" $$unsorted)) % 281.12/281.43 (define @t2 () (@var "B" $$unsorted)) % 281.12/281.43 (define @t3 () (tptp.in @t2 @t1)) % 281.12/281.43 (define @t4 () (not @t3)) % 281.12/281.43 (define @t5 () (tptp.in @t1 @t2)) % 281.12/281.43 (define @t6 () (@list @t1 @t2)) % 281.12/281.43 (define @t7 () (forall @t6 (=> @t5 @t4))) % 281.12/281.43 (define @t8 () (tptp.proper_subset @t2 @t1)) % 281.12/281.43 (define @t9 () (tptp.proper_subset @t1 @t2)) % 281.12/281.43 (define @t10 () (tptp.function @t1)) % 281.12/281.43 (define @t11 () (tptp.empty @t1)) % 281.12/281.43 (define @t12 () (@list @t1)) % 281.12/281.43 (define @t13 () (tptp.epsilon_connected @t1)) % 281.12/281.43 (define @t14 () (tptp.epsilon_transitive @t1)) % 281.12/281.43 (define @t15 () (and @t14 @t13)) % 281.12/281.43 (define @t16 () (tptp.ordinal @t1)) % 281.12/281.43 (define @t17 () (tptp.relation @t1)) % 281.12/281.43 (define @t18 () (tptp.one_to_one @t1)) % 281.12/281.43 (define @t19 () (and @t17 @t10 @t18)) % 281.12/281.43 (define @t20 () (and @t17 @t11 @t10)) % 281.12/281.43 (define @t21 () (tptp.unordered_pair @t1 @t2)) % 281.12/281.43 (define @t22 () (tptp.set_union2 @t2 @t1)) % 281.12/281.43 (define @t23 () (tptp.set_union2 @t1 @t2)) % 281.12/281.43 (define @t24 () (tptp.set_intersection2 @t1 @t2)) % 281.12/281.43 (define @t25 () (@var "D" $$unsorted)) % 281.12/281.43 (define @t26 () (@var "C" $$unsorted)) % 281.12/281.43 (define @t27 () (tptp.in @t26 @t1)) % 281.12/281.43 (define @t28 () (tptp.ordered_pair @t26 @t25)) % 281.12/281.43 (define @t29 () (tptp.in @t28 @t2)) % 281.12/281.43 (define @t30 () (@list @t26 @t25)) % 281.12/281.43 (define @t31 () (tptp.identity_relation @t1)) % 281.12/281.43 (define @t32 () (= @t2 @t31)) % 281.12/281.43 (define @t33 () (tptp.relation @t2)) % 281.12/281.43 (define @t34 () (tptp.subset @t2 @t1)) % 281.12/281.43 (define @t35 () (tptp.subset @t1 @t2)) % 281.12/281.43 (define @t36 () (= @t1 @t2)) % 281.12/281.43 (define @t37 () (@var "E" $$unsorted)) % 281.12/281.43 (define @t38 () (tptp.ordered_pair @t25 @t37)) % 281.12/281.43 (define @t39 () (tptp.in @t38 @t1)) % 281.12/281.43 (define @t40 () (tptp.in @t25 @t2)) % 281.12/281.43 (define @t41 () (tptp.in @t38 @t26)) % 281.12/281.43 (define @t42 () (@list @t25 @t37)) % 281.12/281.43 (define @t43 () (tptp.relation_dom_restriction @t1 @t2)) % 281.12/281.43 (define @t44 () (tptp.relation @t26)) % 281.12/281.43 (define @t45 () (@list @t2 @t26)) % 281.12/281.43 (define @t46 () (tptp.in @t37 @t2)) % 281.12/281.43 (define @t47 () (tptp.relation_dom @t1)) % 281.12/281.43 (define @t48 () (@list @t37)) % 281.12/281.43 (define @t49 () (tptp.in @t25 @t26)) % 281.12/281.43 (define @t50 () (@list @t25)) % 281.12/281.43 (define @t51 () (= @t26 (tptp.relation_image @t1 @t2))) % 281.12/281.43 (define @t52 () (and @t17 @t10)) % 281.12/281.43 (define @t53 () (tptp.in @t37 @t1)) % 281.12/281.43 (define @t54 () (tptp.relation_rng_restriction @t1 @t2)) % 281.12/281.43 (define @t55 () (@list @t26)) % 281.12/281.43 (define @t56 () (tptp.apply @t1 @t25)) % 281.12/281.43 (define @t57 () (tptp.in @t25 @t47)) % 281.12/281.43 (define @t58 () (= @t26 (tptp.relation_inverse_image @t1 @t2))) % 281.12/281.43 (define @t59 () (tptp.in @t37 @t25)) % 281.12/281.43 (define @t60 () (@list @t1 @t2 @t26 @t25)) % 281.12/281.43 (define @t61 () (tptp.singleton @t1)) % 281.12/281.43 (define @t62 () (tptp.succ @t1)) % 281.12/281.43 (define @t63 () (@list @t2)) % 281.12/281.43 (define @t64 () (= @t2 tptp.empty_set)) % 281.12/281.43 (define @t65 () (= @t2 (tptp.set_meet @t1))) % 281.12/281.43 (define @t66 () (= @t1 tptp.empty_set)) % 281.12/281.43 (define @t67 () (tptp.in @t26 @t25)) % 281.12/281.43 (define @t68 () (tptp.in @t25 @t1)) % 281.12/281.43 (define @t69 () (tptp.in @t26 @t2)) % 281.12/281.43 (define @t70 () (not @t66)) % 281.12/281.43 (define @t71 () (tptp.powerset @t1)) % 281.12/281.43 (define @t72 () (forall @t63 (=> @t3 @t34))) % 281.12/281.43 (define @t73 () (= @t14 @t72)) % 281.12/281.43 (define @t74 () (forall @t12 @t73)) % 281.12/281.43 (define @t75 () (tptp.in @t28 @t1)) % 281.12/281.43 (define @t76 () (tptp.empty @t2)) % 281.12/281.43 (define @t77 () (tptp.element @t2 @t1)) % 281.12/281.43 (define @t78 () (not @t11)) % 281.12/281.43 (define @t79 () (@list @t1 @t2 @t26)) % 281.12/281.43 (define @t80 () (@var "F" $$unsorted)) % 281.12/281.43 (define @t81 () (tptp.cartesian_product2 @t1 @t2)) % 281.12/281.43 (define @t82 () (not @t69)) % 281.12/281.43 (define @t83 () (= @t2 @t26)) % 281.12/281.43 (define @t84 () (not @t83)) % 281.12/281.43 (define @t85 () (tptp.in @t2 @t26)) % 281.12/281.43 (define @t86 () (not @t85)) % 281.12/281.43 (define @t87 () (forall @t45 (not (and @t3 @t27 @t86 @t84 @t82)))) % 281.12/281.43 (define @t88 () (= @t13 @t87)) % 281.12/281.43 (define @t89 () (forall @t12 @t88)) % 281.12/281.43 (define @t90 () (forall @t55 (=> @t27 @t69))) % 281.12/281.43 (define @t91 () (= @t35 @t90)) % 281.12/281.43 (define @t92 () (forall @t6 @t91)) % 281.12/281.43 (define @t93 () (tptp.apply @t1 @t2)) % 281.12/281.43 (define @t94 () (= @t26 @t93)) % 281.12/281.43 (define @t95 () (tptp.in @t2 @t47)) % 281.12/281.43 (define @t96 () (tptp.in (tptp.ordered_pair @t2 @t26) @t1)) % 281.12/281.43 (define @t97 () (= @t16 @t15)) % 281.12/281.43 (define @t98 () (forall @t12 @t97)) % 281.12/281.43 (define @t99 () (tptp.cast_to_subset @t1)) % 281.12/281.43 (define @t100 () (tptp.set_difference @t1 @t2)) % 281.12/281.43 (define @t101 () (and @t57 (= @t26 @t56))) % 281.12/281.43 (define @t102 () (tptp.relation_rng @t1)) % 281.12/281.43 (define @t103 () (= @t2 @t102)) % 281.12/281.43 (define @t104 () (tptp.in (tptp.ordered_pair @t25 @t26) @t1)) % 281.12/281.43 (define @t105 () (tptp.subset_complement @t1 @t2)) % 281.12/281.43 (define @t106 () (tptp.element @t2 @t71)) % 281.12/281.43 (define @t107 () (tptp.ordered_pair @t1 @t2)) % 281.12/281.43 (define @t108 () (tptp.relation_inverse @t1)) % 281.12/281.43 (define @t109 () (tptp.disjoint @t1 @t2)) % 281.12/281.43 (define @t110 () (tptp.relation_composition @t1 @t2)) % 281.12/281.43 (define @t111 () (tptp.complements_of_subsets @t1 @t2)) % 281.12/281.43 (define @t112 () (tptp.powerset @t71)) % 281.12/281.43 (define @t113 () (tptp.element @t2 @t112)) % 281.12/281.43 (define @t114 () (not @t36)) % 281.12/281.43 (define @t115 () (tptp.function_inverse @t1)) % 281.12/281.43 (define @t116 () (tptp.relation @t108)) % 281.12/281.43 (define @t117 () (tptp.relation @t110)) % 281.12/281.43 (define @t118 () (and @t17 @t33)) % 281.12/281.43 (define @t119 () (tptp.union_of_subsets @t1 @t2)) % 281.12/281.43 (define @t120 () (tptp.relation @t31)) % 281.12/281.43 (define @t121 () (tptp.meet_of_subsets @t1 @t2)) % 281.12/281.43 (define @t122 () (tptp.subset_difference @t1 @t2 @t26)) % 281.12/281.43 (define @t123 () (tptp.element @t26 @t71)) % 281.12/281.43 (define @t124 () (and @t106 @t123)) % 281.12/281.43 (define @t125 () (tptp.relation @t43)) % 281.12/281.43 (define @t126 () (tptp.relation_composition @t2 @t1)) % 281.12/281.43 (define @t127 () (and @t11 @t33)) % 281.12/281.43 (define @t128 () (tptp.relation tptp.empty_set)) % 281.12/281.43 (define @t129 () (tptp.empty tptp.empty_set)) % 281.12/281.43 (define @t130 () (tptp.relation_empty_yielding @t1)) % 281.12/281.43 (define @t131 () (and @t17 @t130)) % 281.12/281.43 (define @t132 () (tptp.function @t2)) % 281.12/281.43 (define @t133 () (not @t76)) % 281.12/281.43 (define @t134 () (tptp.empty @t47)) % 281.12/281.43 (define @t135 () (and @t78 @t17)) % 281.12/281.43 (define @t136 () (tptp.empty @t102)) % 281.12/281.43 (define @t137 () (tptp.disjoint @t61 @t2)) % 281.12/281.43 (define @t138 () (not @t5)) % 281.12/281.43 (define @t139 () (tptp.singleton @t2)) % 281.12/281.43 (define @t140 () (tptp.union @t2)) % 281.12/281.43 (define @t141 () (tptp.in @t1 @t26)) % 281.12/281.43 (define @t142 () (tptp.element @t1 (tptp.powerset @t2))) % 281.12/281.43 (define @t143 () (tptp.relation_dom @t26)) % 281.12/281.43 (define @t144 () (tptp.relation_dom_restriction @t26 @t1)) % 281.12/281.43 (define @t145 () (tptp.in @t2 (tptp.relation_dom @t144))) % 281.12/281.43 (define @t146 () (and @t44 (tptp.function @t26))) % 281.12/281.43 (define @t147 () (tptp.set_difference @t2 @t26)) % 281.12/281.43 (define @t148 () (= @t1 @t26)) % 281.12/281.43 (define @t149 () (tptp.relation_rng @t26)) % 281.12/281.43 (define @t150 () (tptp.relation_rng @t54)) % 281.12/281.43 (define @t151 () (tptp.relation_rng @t2)) % 281.12/281.43 (define @t152 () (tptp.cartesian_product2 @t1 @t26)) % 281.12/281.43 (define @t153 () (tptp.subset @t26 @t2)) % 281.12/281.43 (define @t154 () (forall @t55 (not (and @t153 (not (tptp.are_equipotent @t26 @t2)) @t82)))) % 281.12/281.43 (define @t155 () (tptp.powerset @t26)) % 281.12/281.43 (define @t156 () (forall @t30 (=> (and @t69 (tptp.subset @t25 @t26)) @t40))) % 281.12/281.43 (define @t157 () (tptp.relation_dom_restriction @t26 @t2)) % 281.12/281.43 (define @t158 () (tptp.relation_image @t2 @t1)) % 281.12/281.43 (define @t159 () (tptp.relation_inverse_image @t2 @t1)) % 281.12/281.43 (define @t160 () (tptp.relation_image @t2 @t159)) % 281.12/281.43 (define @t161 () (and @t33 @t132)) % 281.12/281.43 (define @t162 () (tptp.relation_dom @t2)) % 281.12/281.43 (define @t163 () (tptp.set_intersection2 @t162 @t1)) % 281.12/281.43 (define @t164 () (tptp.subset @t1 @t151)) % 281.12/281.43 (define @t165 () (tptp.relation_rng @t110)) % 281.12/281.43 (define @t166 () (tptp.relation_inverse_image @t26 @t2)) % 281.12/281.43 (define @t167 () (tptp.set_intersection2 @t2 @t26)) % 281.12/281.43 (define @t168 () (tptp.subset @t1 @t26)) % 281.12/281.43 (define @t169 () (tptp.element @t1 @t2)) % 281.12/281.43 (define @t170 () (tptp.in @t1 @t143)) % 281.12/281.43 (define @t171 () (tptp.in @t107 @t26)) % 281.12/281.43 (define @t172 () (tptp.apply @t26 @t1)) % 281.12/281.43 (define @t173 () (tptp.relation_composition @t26 @t2)) % 281.12/281.43 (define @t174 () (tptp.in @t1 (tptp.relation_dom @t173))) % 281.12/281.43 (define @t175 () (tptp.ordinal @t2)) % 281.12/281.43 (define @t176 () (=> @t5 @t16)) % 281.12/281.43 (define @t177 () (forall @t6 (=> @t175 @t176))) % 281.12/281.43 (define @t178 () (not @t177)) % 281.12/281.43 (define @t179 () (tptp.relation_field @t26)) % 281.12/281.43 (define @t180 () (tptp.apply @t2 @t26)) % 281.12/281.43 (define @t181 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 281.12/281.43 (define @t182 () (forall @t79 (not (and @t5 @t85 @t27)))) % 281.12/281.43 (define @t183 () (and @t27 @t69)) % 281.12/281.43 (define @t184 () (not @t109)) % 281.12/281.43 (define @t185 () (tptp.subset_complement @t1 @t26)) % 281.12/281.43 (define @t186 () (tptp.disjoint @t2 @t26)) % 281.12/281.43 (define @t187 () (tptp.relation_dom @t110)) % 281.12/281.43 (define @t188 () (not @t64)) % 281.12/281.43 (define @t189 () (tptp.element @t2 @t155)) % 281.12/281.43 (define @t190 () (tptp.in @t26 @t24)) % 281.12/281.43 (define @t191 () (and (tptp.in @t26 @t102) (= @t25 @t180))) % 281.12/281.43 (define @t192 () (tptp.function_inverse @t2)) % 281.12/281.43 (define @t193 () (= @t102 tptp.empty_set)) % 281.12/281.43 (define @t194 () (= @t47 tptp.empty_set)) % 281.12/281.43 (define @t195 () (tptp.set_difference @t1 @t139)) % 281.12/281.43 (define @t196 () (= @t195 @t1)) % 281.12/281.43 (define @t197 () (forall @t6 (= @t196 @t4))) % 281.12/281.43 (define @t198 () (tptp.unordered_pair @t1 @t1)) % 281.12/281.43 (define @t199 () (forall @t12 (= @t198 @t61))) % 281.12/281.43 (define @t200 () (= (tptp.apply @t144 @t2) (tptp.apply @t26 @t2))) % 281.12/281.43 (define @t201 () (tptp.relation_dom_restriction @t2 @t1)) % 281.12/281.43 (define @t202 () (= @t61 (tptp.unordered_pair @t2 @t26))) % 281.12/281.43 (define @t203 () (@var "BOUND_VARIABLE_14969" $$unsorted)) % 281.12/281.43 (define @t204 () (tptp.unordered_pair @t203 @t203)) % 281.12/281.43 (define @t205 () (@var "BOUND_VARIABLE_14967" $$unsorted)) % 281.12/281.43 (define @t206 () (not (= @t205 (tptp.set_difference @t205 @t204)))) % 281.12/281.43 (define @t207 () (tptp.unordered_pair @t205 @t205)) % 281.12/281.43 (define @t208 () (not (= @t203 (tptp.set_difference @t203 @t207)))) % 281.12/281.43 (define @t209 () (= @t1 (tptp.set_difference @t1 @t204))) % 281.12/281.43 (define @t210 () (= @t1 (tptp.set_difference @t1 @t207))) % 281.12/281.43 (define @t211 () (@var "BOUND_VARIABLE_14955" $$unsorted)) % 281.12/281.43 (define @t212 () (tptp.unordered_pair @t211 @t211)) % 281.12/281.43 (define @t213 () (@var "BOUND_VARIABLE_14953" $$unsorted)) % 281.12/281.43 (define @t214 () (or (= @t1 (tptp.set_difference @t1 (tptp.unordered_pair @t213 @t213))) (= @t213 (tptp.set_difference @t213 @t212)) (not (= @t1 (tptp.set_difference @t1 @t212))))) % 281.12/281.43 (define @t215 () (= @t2 (tptp.set_difference @t2 @t198))) % 281.12/281.43 (define @t216 () (tptp.unordered_pair @t26 @t26)) % 281.12/281.43 (define @t217 () (@var "BOUND_VARIABLE_14837" $$unsorted)) % 281.12/281.43 (define @t218 () (not (= @t217 (tptp.set_difference @t217 @t216)))) % 281.12/281.43 (define @t219 () (= @t26 @t217)) % 281.12/281.43 (define @t220 () (tptp.unordered_pair @t217 @t217)) % 281.12/281.43 (define @t221 () (not (= @t26 (tptp.set_difference @t26 @t220)))) % 281.12/281.43 (define @t222 () (= @t2 (tptp.set_difference @t2 @t216))) % 281.12/281.43 (define @t223 () (= @t2 (tptp.set_difference @t2 @t220))) % 281.12/281.43 (define @t224 () (@list @t217 @t26)) % 281.12/281.43 (define @t225 () (forall @t224 (or @t223 @t222 @t221 @t219 @t218))) % 281.12/281.43 (define @t226 () (not @t225)) % 281.12/281.43 (define @t227 () (@var "BOUND_VARIABLE_10981" $$unsorted)) % 281.12/281.43 (define @t228 () (tptp.unordered_pair @t227 @t227)) % 281.12/281.43 (define @t229 () (= @t2 (tptp.set_difference @t2 @t228))) % 281.12/281.43 (define @t230 () (@var "BOUND_VARIABLE_14847" $$unsorted)) % 281.12/281.43 (define @t231 () (= @t230 (tptp.set_difference @t230 @t228))) % 281.12/281.43 (define @t232 () (tptp.unordered_pair @t230 @t230)) % 281.12/281.43 (define @t233 () (= @t2 (tptp.set_difference @t2 @t232))) % 281.12/281.43 (define @t234 () (@list @t230 @t227)) % 281.12/281.43 (define @t235 () (forall @t234 (or @t233 @t231 (not @t229)))) % 281.12/281.43 (define @t236 () (not @t235)) % 281.12/281.43 (define @t237 () (@list @t1 @t2 @t213 @t211 @t205 @t203)) % 281.12/281.43 (define @t238 () (forall @t237 (or @t236 @t226 @t215 (and @t214 (or @t210 @t209 @t208 (= @t205 @t203) @t206))))) % 281.12/281.43 (define @t239 () (@quantifiers_skolemize @t238 5)) % 281.12/281.43 (define @t240 () (tptp.unordered_pair @t239 @t239)) % 281.12/281.43 (define @t241 () (@quantifiers_skolemize @t238 4)) % 281.12/281.43 (define @t242 () (= @t241 (tptp.set_difference @t241 @t240))) % 281.12/281.43 (define @t243 () (not @t242)) % 281.12/281.43 (define @t244 () (= @t241 @t239)) % 281.12/281.43 (define @t245 () (tptp.unordered_pair @t241 @t241)) % 281.12/281.43 (define @t246 () (= @t239 (tptp.set_difference @t239 @t245))) % 281.12/281.43 (define @t247 () (not @t246)) % 281.12/281.43 (define @t248 () (@quantifiers_skolemize @t238 0)) % 281.12/281.43 (define @t249 () (= @t248 (tptp.set_difference @t248 @t240))) % 281.12/281.43 (define @t250 () (= @t248 (tptp.set_difference @t248 @t245))) % 281.12/281.43 (define @t251 () (or @t250 @t249 @t247 @t244 @t243)) % 281.12/281.43 (define @t252 () (or @t210 @t209 @t208 (= @t203 @t205) @t206)) % 281.12/281.43 (define @t253 () (and @t214 @t252)) % 281.12/281.43 (define @t254 () (or @t236 @t226 @t215 @t253)) % 281.12/281.43 (define @t255 () (forall @t237 @t254)) % 281.12/281.43 (define @t256 () (@list @t213 @t211 @t205 @t203)) % 281.12/281.43 (define @t257 () (forall @t256 @t254)) % 281.12/281.43 (define @t258 () (forall (@list @t205 @t203) @t252)) % 281.12/281.43 (define @t259 () (@var "BOUND_VARIABLE_14914" $$unsorted)) % 281.12/281.43 (define @t260 () (forall @t256 @t252)) % 281.12/281.43 (define @t261 () (forall (@list @t213 @t211) @t214)) % 281.12/281.43 (define @t262 () (@var "BOUND_VARIABLE_14929" $$unsorted)) % 281.12/281.43 (define @t263 () (forall @t256 @t214)) % 281.12/281.43 (define @t264 () (and @t263 @t260)) % 281.12/281.43 (define @t265 () (forall @t256 @t253)) % 281.12/281.43 (define @t266 () (or @t236 @t226 @t215 @t265)) % 281.12/281.43 (define @t267 () (not (= @t259 (tptp.set_difference @t259 @t216)))) % 281.12/281.43 (define @t268 () (tptp.unordered_pair @t259 @t259)) % 281.12/281.43 (define @t269 () (not (= @t26 (tptp.set_difference @t26 @t268)))) % 281.12/281.43 (define @t270 () (= @t1 (tptp.set_difference @t1 @t216))) % 281.12/281.43 (define @t271 () (= @t1 (tptp.set_difference @t1 @t268))) % 281.12/281.43 (define @t272 () (@list @t259 @t26)) % 281.12/281.43 (define @t273 () (not (= @t1 (tptp.set_difference @t1 @t228)))) % 281.12/281.43 (define @t274 () (forall (@list @t262 @t227) (or (= @t1 (tptp.set_difference @t1 (tptp.unordered_pair @t262 @t262))) (= @t262 (tptp.set_difference @t262 @t228)) @t273))) % 281.12/281.43 (define @t275 () (and @t274 (forall @t272 (or @t271 @t270 @t269 (= @t26 @t259) @t267)))) % 281.12/281.43 (define @t276 () (or @t236 @t226 @t215 @t275)) % 281.12/281.43 (define @t277 () (not (and @t235 @t225))) % 281.12/281.43 (define @t278 () (or @t277 @t215 @t275)) % 281.12/281.43 (define @t279 () (or @t271 @t270 @t269 (= @t259 @t26) @t267)) % 281.12/281.43 (define @t280 () (forall @t272 @t279)) % 281.12/281.43 (define @t281 () (and @t274 @t280)) % 281.12/281.43 (define @t282 () (or @t277 @t215 @t281)) % 281.12/281.43 (define @t283 () (tptp.unordered_pair @t2 @t2)) % 281.12/281.43 (define @t284 () (= @t26 (tptp.set_difference @t26 @t283))) % 281.12/281.43 (define @t285 () (= @t1 (tptp.set_difference @t1 @t283))) % 281.12/281.43 (define @t286 () (forall @t45 (or @t285 @t270 (not @t284) @t83 (not @t222)))) % 281.12/281.43 (define @t287 () (@list @t2)) % 281.12/281.43 (define @t288 () (@list @t2 @t227)) % 281.12/281.43 (define @t289 () (forall @t288 (or @t285 @t229 @t273))) % 281.12/281.43 (define @t290 () (and @t289 @t286)) % 281.12/281.43 (define @t291 () (or @t277 @t215 @t290)) % 281.12/281.43 (define @t292 () (@var "BOUND_VARIABLE_13835" $$unsorted)) % 281.12/281.43 (define @t293 () (lambda (@list @t292) (tptp.unordered_pair @t292 @t292))) % 281.12/281.43 (define @t294 () (_ @t293 @t26)) % 281.12/281.43 (define @t295 () (tptp.set_difference @t2 @t294)) % 281.12/281.43 (define @t296 () (= @t2 @t295)) % 281.12/281.43 (define @t297 () (not @t296)) % 281.12/281.43 (define @t298 () (@var "BOUND_VARIABLE_13723" $$unsorted)) % 281.12/281.43 (define @t299 () (@var "BOUND_VARIABLE_13724" $$unsorted)) % 281.12/281.43 (define @t300 () (@list @t298 @t299)) % 281.12/281.43 (define @t301 () (lambda @t300 (not (= @t299 (tptp.set_difference @t299 (_ @t293 @t298)))))) % 281.12/281.43 (define @t302 () (_ @t301 @t26 @t2)) % 281.12/281.43 (define @t303 () (_ @t293 @t2)) % 281.12/281.43 (define @t304 () (tptp.set_difference @t26 @t303)) % 281.12/281.43 (define @t305 () (= @t26 @t304)) % 281.12/281.43 (define @t306 () (not @t305)) % 281.12/281.43 (define @t307 () (_ @t301 @t2 @t26)) % 281.12/281.43 (define @t308 () (tptp.set_difference @t1 @t294)) % 281.12/281.43 (define @t309 () (= @t1 @t308)) % 281.12/281.43 (define @t310 () (not @t309)) % 281.12/281.43 (define @t311 () (_ @t301 @t26 @t1)) % 281.12/281.43 (define @t312 () (not @t311)) % 281.12/281.44 (define @t313 () (tptp.set_difference @t1 @t303)) % 281.12/281.44 (define @t314 () (= @t1 @t313)) % 281.12/281.44 (define @t315 () (not @t314)) % 281.12/281.44 (define @t316 () (_ @t301 @t2 @t1)) % 281.12/281.44 (define @t317 () (not @t316)) % 281.12/281.44 (define @t318 () (or @t317 @t312 @t307 @t83 @t302)) % 281.12/281.44 (define @t319 () (forall @t45 @t318)) % 281.12/281.44 (define @t320 () (_ @t293 @t227)) % 281.12/281.44 (define @t321 () (tptp.set_difference @t1 @t320)) % 281.12/281.44 (define @t322 () (= @t1 @t321)) % 281.12/281.44 (define @t323 () (not @t322)) % 281.12/281.44 (define @t324 () (_ @t301 @t227 @t1)) % 281.12/281.44 (define @t325 () (tptp.set_difference @t2 @t320)) % 281.12/281.44 (define @t326 () (= @t2 @t325)) % 281.12/281.44 (define @t327 () (not @t326)) % 281.12/281.44 (define @t328 () (_ @t301 @t227 @t2)) % 281.12/281.44 (define @t329 () (not @t328)) % 281.12/281.44 (define @t330 () (or @t317 @t329 @t324)) % 281.12/281.44 (define @t331 () (forall @t288 @t330)) % 281.12/281.44 (define @t332 () (and @t331 @t319)) % 281.12/281.44 (define @t333 () (@var "BOUND_VARIABLE_10995" $$unsorted)) % 281.12/281.44 (define @t334 () (not (_ @t301 @t26 @t333))) % 281.12/281.44 (define @t335 () (not (_ @t301 @t2 @t333))) % 281.12/281.44 (define @t336 () (forall @t45 (or @t335 @t334 @t307 @t83 @t302))) % 281.12/281.44 (define @t337 () (_ @t301 @t227 @t333)) % 281.12/281.44 (define @t338 () (forall @t288 (or @t335 @t329 @t337))) % 281.12/281.44 (define @t339 () (and @t338 @t336)) % 281.12/281.44 (define @t340 () (@list @t333)) % 281.12/281.44 (define @t341 () (lambda @t340 @t339)) % 281.12/281.44 (define @t342 () (_ @t341 @t1)) % 281.12/281.44 (define @t343 () (_ @t293 @t1)) % 281.12/281.44 (define @t344 () (tptp.set_difference @t2 @t343)) % 281.12/281.44 (define @t345 () (= @t2 @t344)) % 281.12/281.44 (define @t346 () (not @t345)) % 281.12/281.44 (define @t347 () (_ @t301 @t1 @t2)) % 281.12/281.44 (define @t348 () (not @t347)) % 281.12/281.44 (define @t349 () (tptp.set_difference @t217 @t294)) % 281.12/281.44 (define @t350 () (= @t217 @t349)) % 281.12/281.44 (define @t351 () (not @t350)) % 281.12/281.44 (define @t352 () (_ @t301 @t26 @t217)) % 281.12/281.44 (define @t353 () (_ @t293 @t217)) % 281.12/281.44 (define @t354 () (tptp.set_difference @t26 @t353)) % 281.12/281.44 (define @t355 () (= @t26 @t354)) % 281.12/281.44 (define @t356 () (not @t355)) % 281.12/281.44 (define @t357 () (_ @t301 @t217 @t26)) % 281.12/281.44 (define @t358 () (not @t302)) % 281.12/281.44 (define @t359 () (tptp.set_difference @t2 @t353)) % 281.12/281.44 (define @t360 () (= @t2 @t359)) % 281.12/281.44 (define @t361 () (not @t360)) % 281.12/281.44 (define @t362 () (_ @t301 @t217 @t2)) % 281.12/281.44 (define @t363 () (not @t362)) % 281.12/281.44 (define @t364 () (= @t217 @t26)) % 281.12/281.44 (define @t365 () (or @t363 @t358 @t357 @t364 @t352)) % 281.12/281.44 (define @t366 () (forall @t224 @t365)) % 281.12/281.44 (define @t367 () (tptp.set_difference @t230 @t320)) % 281.12/281.44 (define @t368 () (= @t230 @t367)) % 281.12/281.44 (define @t369 () (not @t368)) % 281.12/281.44 (define @t370 () (_ @t301 @t227 @t230)) % 281.12/281.44 (define @t371 () (not @t370)) % 281.12/281.44 (define @t372 () (_ @t293 @t230)) % 281.12/281.44 (define @t373 () (tptp.set_difference @t2 @t372)) % 281.12/281.44 (define @t374 () (= @t2 @t373)) % 281.12/281.44 (define @t375 () (not @t374)) % 281.12/281.44 (define @t376 () (_ @t301 @t230 @t2)) % 281.12/281.44 (define @t377 () (not @t376)) % 281.12/281.44 (define @t378 () (or @t377 @t371 @t328)) % 281.12/281.44 (define @t379 () (forall @t234 @t378)) % 281.12/281.44 (define @t380 () (and @t379 @t366)) % 281.12/281.44 (define @t381 () (not (_ @t341 @t2))) % 281.12/281.44 (define @t382 () (or @t381 @t348 @t342)) % 281.12/281.44 (define @t383 () (forall @t6 @t382)) % 281.12/281.44 (define @t384 () (tptp.set_difference @t299 (tptp.singleton @t298))) % 281.12/281.44 (define @t385 () (= @t299 @t384)) % 281.12/281.44 (define @t386 () (not @t385)) % 281.12/281.44 (define @t387 () (lambda @t300 @t386)) % 281.12/281.44 (define @t388 () (not (tptp.in @t26 @t333))) % 281.12/281.44 (define @t389 () (not (tptp.in @t2 @t333))) % 281.12/281.44 (define @t390 () (or @t389 @t388 @t85 @t83 @t69)) % 281.12/281.44 (define @t391 () (forall @t45 @t390)) % 281.12/281.44 (define @t392 () (not (tptp.in @t227 @t2))) % 281.12/281.44 (define @t393 () (or @t389 @t392 (tptp.in @t227 @t333))) % 281.12/281.44 (define @t394 () (forall @t288 @t393)) % 281.12/281.44 (define @t395 () (and @t394 @t391)) % 281.12/281.44 (define @t396 () (lambda @t340 @t395)) % 281.12/281.44 (define @t397 () (not @t27)) % 281.12/281.44 (define @t398 () (forall @t45 (or @t4 @t397 @t85 @t83 @t69))) % 281.12/281.44 (define @t399 () (tptp.in @t227 @t1)) % 281.12/281.44 (define @t400 () (or @t4 @t392 @t399)) % 281.12/281.44 (define @t401 () (@var "BOUND_VARIABLE_10921" $$unsorted)) % 281.12/281.44 (define @t402 () (lambda (@list @t401) (forall @t45 (or (not (tptp.in @t2 @t401)) (not (tptp.in @t26 @t401)) @t85 @t83 @t69)))) % 281.12/281.44 (define @t403 () (_ @t402 @t1)) % 281.12/281.44 (define @t404 () (or @t392 @t399)) % 281.12/281.44 (define @t405 () (or @t4 @t404)) % 281.12/281.44 (define @t406 () (forall @t288 @t405)) % 281.12/281.44 (define @t407 () (@list @t227)) % 281.12/281.44 (define @t408 () (forall @t407 @t405)) % 281.12/281.44 (define @t409 () (forall @t407 @t404)) % 281.12/281.44 (define @t410 () (or @t4 @t409)) % 281.12/281.44 (define @t411 () (forall @t55 (or @t82 @t27))) % 281.12/281.44 (define @t412 () (@var "BOUND_VARIABLE_10947" $$unsorted)) % 281.12/281.44 (define @t413 () (@var "BOUND_VARIABLE_10946" $$unsorted)) % 281.12/281.44 (define @t414 () (lambda (@list @t413 @t412) (forall @t55 (or (not (tptp.in @t26 @t413)) (tptp.in @t26 @t412))))) % 281.12/281.44 (define @t415 () (_ @t414 @t2 @t1)) % 281.12/281.44 (define @t416 () (or @t4 @t415)) % 281.12/281.44 (define @t417 () (forall @t63 @t416)) % 281.12/281.44 (define @t418 () (@var "BOUND_VARIABLE_10894" $$unsorted)) % 281.12/281.44 (define @t419 () (not (tptp.in @t2 @t418))) % 281.12/281.44 (define @t420 () (@list @t418)) % 281.12/281.44 (define @t421 () (_ (lambda @t420 (forall @t63 (or @t419 (_ @t414 @t2 @t418)))) @t1)) % 281.12/281.44 (define @t422 () (and @t421 @t403)) % 281.12/281.44 (define @t423 () (= @t16 @t422)) % 281.12/281.44 (define @t424 () (not @t82)) % 281.12/281.44 (define @t425 () (not @t84)) % 281.12/281.44 (define @t426 () (not @t86)) % 281.12/281.44 (define @t427 () (or @t4 @t397 @t426 @t425 @t424)) % 281.12/281.44 (define @t428 () (or @t419 (tptp.subset @t2 @t418))) % 281.12/281.44 (define @t429 () (forall @t63 @t428)) % 281.12/281.44 (define @t430 () (lambda @t420 @t429)) % 281.12/281.44 (define @t431 () (not @t175)) % 281.12/281.44 (define @t432 () (or @t431 @t138 @t16)) % 281.12/281.44 (define @t433 () (forall @t6 @t432)) % 281.12/281.44 (define @t434 () (@quantifiers_skolemize @t238 3)) % 281.12/281.44 (define @t435 () (tptp.unordered_pair @t434 @t434)) % 281.12/281.44 (define @t436 () (tptp.set_difference @t248 @t435)) % 281.12/281.44 (define @t437 () (= @t248 @t436)) % 281.12/281.44 (define @t438 () (not @t437)) % 281.12/281.44 (define @t439 () (@quantifiers_skolemize @t238 2)) % 281.12/281.44 (define @t440 () (= @t439 (tptp.set_difference @t439 @t435))) % 281.12/281.44 (define @t441 () (tptp.unordered_pair @t439 @t439)) % 281.12/281.44 (define @t442 () (tptp.set_difference @t248 @t441)) % 281.12/281.44 (define @t443 () (= @t248 @t442)) % 281.12/281.44 (define @t444 () (or @t443 @t440 @t438)) % 281.12/281.44 (define @t445 () (and @t444 @t251)) % 281.12/281.44 (define @t446 () (tptp.unordered_pair @t248 @t248)) % 281.12/281.44 (define @t447 () (@quantifiers_skolemize @t238 1)) % 281.12/281.44 (define @t448 () (= @t447 (tptp.set_difference @t447 @t446))) % 281.12/281.44 (define @t449 () (forall @t224 (or (= @t447 (tptp.set_difference @t447 @t220)) (= @t447 (tptp.set_difference @t447 @t216)) @t221 @t219 @t218))) % 281.12/281.44 (define @t450 () (not @t449)) % 281.12/281.44 (define @t451 () (forall @t234 (or (= @t447 (tptp.set_difference @t447 @t232)) @t231 (not (= @t447 (tptp.set_difference @t447 @t228)))))) % 281.12/281.44 (define @t452 () (not @t451)) % 281.12/281.44 (define @t453 () (or @t452 @t450 @t448 @t445)) % 281.12/281.44 (define @t454 () (@list true)) % 281.12/281.44 (define @t455 () (@list @t453)) % 281.12/281.44 (define @t456 () (= @t447 (tptp.set_difference @t447 @t245))) % 281.12/281.44 (define @t457 () (not @t456)) % 281.12/281.44 (define @t458 () (or @t448 @t250 @t457)) % 281.12/281.44 (define @t459 () (= @t447 (tptp.set_difference @t447 @t240))) % 281.12/281.44 (define @t460 () (not @t459)) % 281.12/281.44 (define @t461 () (or @t448 @t249 @t460)) % 281.12/281.44 (define @t462 () (or @t456 @t459 @t247 (= @t239 @t241) @t243)) % 281.12/281.44 (define @t463 () (or @t456 @t459 @t247 @t244 @t243)) % 281.12/281.44 (define @t464 () (@list true false)) % 281.12/281.44 (define @t465 () (not @t443)) % 281.12/281.44 (define @t466 () (@list @t444)) % 281.12/281.44 (define @t467 () (or @t348 @t317)) % 281.12/281.44 (define @t468 () (or @t138 @t4)) % 281.12/281.44 (define @t469 () (tptp.set_difference @t434 @t441)) % 281.12/281.44 (define @t470 () (= @t434 @t469)) % 281.12/281.44 (define @t471 () (or @t440 @t470)) % 281.12/281.44 (define @t472 () (@list @t440 @t471)) % 281.12/281.44 (define @t473 () (= @t447 (tptp.set_difference @t447 @t441))) % 281.12/281.44 (define @t474 () (not @t473)) % 281.12/281.44 (define @t475 () (or @t448 @t443 @t474)) % 281.12/281.44 (define @t476 () (@list true true false)) % 281.12/281.44 (define @t477 () (= @t447 (tptp.set_difference @t447 @t435))) % 281.12/281.44 (define @t478 () (not @t477)) % 281.12/281.44 (define @t479 () (or @t473 @t440 @t478)) % 281.12/281.44 (define @t480 () (not @t307)) % 281.12/281.44 (define @t481 () (or @t348 @t480 @t312)) % 281.12/281.44 (define @t482 () (or @t138 @t86 @t397)) % 281.12/281.44 (define @t483 () (= @t434 (tptp.set_difference @t434 @t446))) % 281.12/281.44 (define @t484 () (or @t440 @t443 @t483)) % 281.12/281.44 (define @t485 () (not @t483)) % 281.12/281.44 (define @t486 () (= @t248 @t434)) % 281.12/281.44 (define @t487 () (or @t477 @t448 @t438 @t486 @t485)) % 281.12/281.44 (define @t488 () (@list true false false true false)) % 281.12/281.44 (define @t489 () (@list @t448 @t437 @t483 @t477 @t487)) % 281.12/281.44 (define @t490 () (not @t486)) % 281.12/281.44 (define @t491 () (not @t470)) % 281.12/281.44 (define @t492 () (tptp.set_difference @t436 @t441)) % 281.12/281.44 (define @t493 () (= @t436 @t492)) % 281.12/281.44 (define @t494 () (not @t493)) % 281.12/281.44 (define @t495 () (and @t494 @t493)) % 281.12/281.44 (assume @p1 @t7) % 281.12/281.44 (assume @p2 (forall @t6 (=> @t9 (not @t8)))) % 281.12/281.44 (assume @p3 (forall @t12 (=> @t11 @t10))) % 281.12/281.44 (assume @p4 (forall @t12 (=> @t16 @t15))) % 281.12/281.44 (assume @p5 (forall @t12 (=> @t11 @t17))) % 281.12/281.44 (assume @p6 (forall @t12 (=> @t20 @t19))) % 281.12/281.44 (assume @p7 (forall @t12 (=> @t15 @t16))) % 281.12/281.44 (assume @p8 (forall @t6 (= @t21 (tptp.unordered_pair @t2 @t1)))) % 281.12/281.44 (assume @p9 (forall @t6 (= @t23 @t22))) % 281.12/281.44 (assume @p10 (forall @t6 (= @t24 (tptp.set_intersection2 @t2 @t1)))) % 281.12/281.44 (assume @p11 (forall @t6 (=> @t33 (= @t32 (forall @t30 (= @t29 (and @t27 (= @t26 @t25)))))))) % 281.12/281.44 (assume @p12 (forall @t6 (= @t36 (and @t35 @t34)))) % 281.12/281.44 (assume @p13 (forall @t12 (=> @t17 (forall @t45 (=> @t44 (= (= @t26 @t43) (forall @t42 (= @t41 (and @t40 @t39))))))))) % 281.12/281.44 (assume @p14 (forall @t12 (=> @t52 (forall @t45 (= @t51 (forall @t50 (= @t49 (exists @t48 (and (tptp.in @t37 @t47) @t46 (= @t25 (tptp.apply @t1 @t37))))))))))) % 281.12/281.44 (assume @p15 (forall @t6 (=> @t33 (forall @t55 (=> @t44 (= (= @t26 @t54) (forall @t42 (= @t41 (and @t53 (tptp.in @t38 @t2)))))))))) % 281.12/281.44 (assume @p16 (forall @t12 (=> @t52 (forall @t45 (= @t58 (forall @t50 (= @t49 (and @t57 (tptp.in @t56 @t2))))))))) % 281.12/281.44 (assume @p17 (forall @t12 (=> @t17 (forall @t45 (= @t51 (forall @t50 (= @t49 (exists @t48 (and (tptp.in (tptp.ordered_pair @t37 @t25) @t1) @t46))))))))) % 281.12/281.44 (assume @p18 (forall @t12 (=> @t17 (forall @t45 (= @t58 (forall @t50 (= @t49 (exists @t48 (and @t39 @t46))))))))) % 281.12/281.44 (assume @p19 (forall @t60 (= (= @t25 (tptp.unordered_triple @t1 @t2 @t26)) (forall @t48 (= @t59 (not (and (not (= @t37 @t1)) (not (= @t37 @t2)) (not (= @t37 @t26))))))))) % 281.12/281.44 (assume @p20 (forall @t12 (= @t62 (tptp.set_union2 @t1 @t61)))) % 281.12/281.44 (assume @p21 (forall @t12 (= @t17 (forall @t63 (not (and @t3 (forall @t30 (not (= @t2 @t28))))))))) % 281.12/281.44 (assume @p22 (forall @t6 (and (=> @t70 (= @t65 (forall @t55 (= @t69 (forall @t50 (=> @t68 @t67)))))) (=> @t66 (= @t65 @t64))))) % 281.12/281.44 (assume @p23 (forall @t6 (= (= @t2 @t61) (forall @t55 (= @t69 (= @t26 @t1)))))) % 281.12/281.44 (assume @p24 (forall @t12 (= @t66 (forall @t63 @t4)))) % 281.12/281.44 (assume @p25 (forall @t6 (= (= @t2 @t71) (forall @t55 (= @t69 (tptp.subset @t26 @t1)))))) % 281.12/281.44 (assume @p26 @t74) % 281.12/281.44 (assume @p27 (forall @t12 (=> @t17 (forall @t63 (=> @t33 (= @t36 (forall @t30 (= @t75 @t29)))))))) % 281.12/281.44 (assume @p28 (forall @t6 (and (=> @t78 (= @t77 @t3)) (=> @t11 (= @t77 @t76))))) % 281.12/281.44 (assume @p29 (forall @t79 (= (= @t26 @t21) (forall @t50 (= @t49 (or (= @t25 @t1) (= @t25 @t2))))))) % 281.12/281.44 (assume @p30 (forall @t79 (= (= @t26 @t23) (forall @t50 (= @t49 (or @t68 @t40)))))) % 281.12/281.44 (assume @p31 (forall @t79 (= (= @t26 @t81) (forall @t50 (= @t49 (exists (@list @t37 @t80) (and @t53 (tptp.in @t80 @t2) (= @t25 (tptp.ordered_pair @t37 @t80))))))))) % 281.12/281.44 (assume @p32 @t89) % 281.12/281.44 (assume @p33 (forall @t12 (=> @t17 (forall @t63 (=> @t33 (= @t35 (forall @t30 (=> @t75 @t29)))))))) % 281.12/281.44 (assume @p34 @t92) % 281.12/281.44 (assume @p35 (forall @t79 (= (= @t26 @t24) (forall @t50 (= @t49 (and @t68 @t40)))))) % 281.12/281.44 (assume @p36 (forall @t12 (=> @t52 (forall @t45 (and (=> @t95 (= @t94 @t96)) (=> (not @t95) (= @t94 (= @t26 tptp.empty_set)))))))) % 281.12/281.44 (assume @p37 @t98) % 281.12/281.44 (assume @p38 (forall @t12 (=> @t17 (forall @t63 (= (= @t2 @t47) (forall @t55 (= @t69 (exists @t50 @t75)))))))) % 281.12/281.44 (assume @p39 (forall @t12 (= @t99 @t1))) % 281.12/281.44 (assume @p40 (forall @t6 (= (= @t2 (tptp.union @t1)) (forall @t55 (= @t69 (exists @t50 (and @t67 @t68))))))) % 281.12/281.44 (assume @p41 (forall @t79 (= (= @t26 @t100) (forall @t50 (= @t49 (and @t68 (not @t40))))))) % 281.12/281.44 (assume @p42 (forall @t12 (=> @t52 (forall @t63 (= @t103 (forall @t55 (= @t69 (exists @t50 @t101)))))))) % 281.12/281.44 (assume @p43 (forall @t12 (=> @t17 (forall @t63 (= @t103 (forall @t55 (= @t69 (exists @t50 @t104)))))))) % 281.12/281.44 (assume @p44 (forall @t6 (=> @t106 (= @t105 @t100)))) % 281.12/281.44 (assume @p45 (forall @t6 (= @t107 (tptp.unordered_pair @t21 @t61)))) % 281.12/281.44 (assume @p46 (forall @t12 (=> @t17 (= (tptp.relation_field @t1) (tptp.set_union2 @t47 @t102))))) % 281.12/281.44 (assume @p47 (forall @t12 (=> @t17 (forall @t63 (=> @t33 (= (= @t2 @t108) (forall @t30 (= @t29 @t104)))))))) % 281.12/281.44 (assume @p48 (forall @t6 (= @t109 (= @t24 tptp.empty_set)))) % 281.12/281.44 (assume @p49 (forall @t12 (=> @t52 (= @t18 (forall @t45 (=> (and @t95 (tptp.in @t26 @t47) (= @t93 (tptp.apply @t1 @t26))) @t83)))))) % 281.12/281.44 (assume @p50 (forall @t12 (=> @t17 (forall @t63 (=> @t33 (forall @t55 (=> @t44 (= (= @t26 @t110) (forall @t42 (= @t41 (exists (@list @t80) (and (tptp.in (tptp.ordered_pair @t25 @t80) @t1) (tptp.in (tptp.ordered_pair @t80 @t37) @t2))))))))))))) % 281.12/281.44 (assume @p51 (forall @t6 (=> @t113 (forall @t55 (=> (tptp.element @t26 @t112) (= (= @t26 @t111) (forall @t50 (=> (tptp.element @t25 @t71) (= @t49 (tptp.in (tptp.subset_complement @t1 @t25) @t2)))))))))) % 281.12/281.44 (assume @p52 (forall @t6 (= @t9 (and @t35 @t114)))) % 281.12/281.44 (assume @p53 (forall @t12 (=> @t52 (=> @t18 (= @t115 @t108))))) % 281.12/281.44 (assume @p54 true) % 281.12/281.44 (assume @p55 (forall @t12 (=> @t52 (and (tptp.relation @t115) (tptp.function @t115))))) % 281.12/281.44 (assume @p56 (forall @t12 (tptp.element @t99 @t71))) % 281.12/281.44 (assume @p57 (forall @t6 (=> @t106 (tptp.element @t105 @t71)))) % 281.12/281.44 (assume @p58 (forall @t12 (=> @t17 @t116))) % 281.12/281.44 (assume @p59 (forall @t6 (=> @t118 @t117))) % 281.12/281.44 (assume @p60 (forall @t6 (=> @t113 (tptp.element @t119 @t71)))) % 281.12/281.44 (assume @p61 (forall @t12 @t120)) % 281.12/281.44 (assume @p62 (forall @t6 (=> @t113 (tptp.element @t121 @t71)))) % 281.12/281.44 (assume @p63 (forall @t79 (=> @t124 (tptp.element @t122 @t71)))) % 281.12/281.44 (assume @p64 (forall @t6 (=> @t17 @t125))) % 281.12/281.44 (assume @p65 (forall @t6 (=> @t113 (tptp.element @t111 @t112)))) % 281.12/281.44 (assume @p66 (forall @t6 (=> @t33 (tptp.relation @t54)))) % 281.12/281.44 (assume @p67 (forall @t12 (exists @t63 @t77))) % 281.12/281.44 (assume @p68 (forall @t6 (=> @t127 (and (tptp.empty @t126) (tptp.relation @t126))))) % 281.12/281.44 (assume @p69 (forall @t12 (=> @t11 (and (tptp.empty @t108) @t116)))) % 281.12/281.44 (assume @p70 (and @t129 @t128 (tptp.relation_empty_yielding tptp.empty_set))) % 281.12/281.44 (assume @p71 (forall @t6 (=> @t131 (and @t125 (tptp.relation_empty_yielding @t43))))) % 281.12/281.44 (assume @p72 (forall @t6 (=> (and @t17 @t10 @t33 @t132) (and @t117 (tptp.function @t110))))) % 281.12/281.44 (assume @p73 (forall @t12 (not (tptp.empty @t62)))) % 281.12/281.44 (assume @p74 (forall @t6 (=> @t118 (tptp.relation @t24)))) % 281.12/281.44 (assume @p75 (forall @t12 (not (tptp.empty @t71)))) % 281.12/281.44 (assume @p76 @t129) % 281.12/281.44 (assume @p77 (forall @t6 (not (tptp.empty @t107)))) % 281.12/281.44 (assume @p78 (forall @t12 (and @t120 (tptp.function @t31)))) % 281.12/281.44 (assume @p79 (forall @t6 (=> @t118 (tptp.relation @t23)))) % 281.12/281.44 (assume @p80 (forall @t12 (not (tptp.empty @t61)))) % 281.12/281.44 (assume @p81 (forall @t6 (=> @t78 (not (tptp.empty @t23))))) % 281.12/281.44 (assume @p82 (forall @t12 (=> @t19 (and @t116 (tptp.function @t108))))) % 281.12/281.44 (assume @p83 (forall @t6 (=> @t118 (tptp.relation @t100)))) % 281.12/281.44 (assume @p84 (forall @t6 (not (tptp.empty @t21)))) % 281.12/281.44 (assume @p85 (forall @t6 (=> @t78 (not (tptp.empty @t22))))) % 281.12/281.44 (assume @p86 (forall @t6 (=> @t52 (and @t125 (tptp.function @t43))))) % 281.12/281.44 (assume @p87 (and @t129 @t128)) % 281.12/281.44 (assume @p88 (forall @t6 (=> (and @t78 @t133) (not (tptp.empty @t81))))) % 281.12/281.44 (assume @p89 (forall @t12 (=> @t135 (not @t134)))) % 281.12/281.44 (assume @p90 (forall @t12 (=> @t135 (not @t136)))) % 281.12/281.44 (assume @p91 (forall @t12 (=> @t11 (and @t134 (tptp.relation @t47))))) % 281.12/281.44 (assume @p92 (forall @t12 (=> @t11 (and @t136 (tptp.relation @t102))))) % 281.12/281.44 (assume @p93 (forall @t6 (=> @t127 (and (tptp.empty @t110) @t117)))) % 281.12/281.44 (assume @p94 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 281.12/281.44 (assume @p95 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 281.12/281.44 (assume @p96 (forall @t6 (=> @t106 (= (tptp.subset_complement @t1 @t105) @t2)))) % 281.12/281.44 (assume @p97 (forall @t12 (=> @t17 (= (tptp.relation_inverse @t108) @t1)))) % 281.12/281.44 (assume @p98 (forall @t6 (=> @t113 (= (tptp.complements_of_subsets @t1 @t111) @t2)))) % 281.12/281.44 (assume @p99 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 281.12/281.44 (assume @p100 (forall @t12 (not (= @t61 tptp.empty_set)))) % 281.12/281.44 (assume @p101 (forall @t6 (=> @t5 (= (tptp.set_union2 @t61 @t2) @t2)))) % 281.12/281.44 (assume @p102 (forall @t6 (not (and @t137 @t5)))) % 281.12/281.44 (assume @p103 (forall @t6 (=> @t138 @t137))) % 281.12/281.44 (assume @p104 (forall @t6 (= (tptp.subset @t61 @t2) @t5))) % 281.12/281.44 (assume @p105 (forall @t6 (= (= @t100 tptp.empty_set) @t35))) % 281.12/281.44 (assume @p106 (forall @t6 (=> @t106 (forall @t55 (=> @t69 @t27))))) % 281.12/281.44 (assume @p107 (forall @t79 (=> @t35 (or @t27 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t26))))))) % 281.12/281.44 (assume @p108 (forall @t6 (= (tptp.subset @t1 @t139) (or @t66 (= @t1 @t139))))) % 281.12/281.44 (assume @p109 (forall @t6 (=> @t5 (tptp.subset @t1 @t140)))) % 281.12/281.44 (assume @p110 (forall @t60 (= (tptp.in @t107 (tptp.cartesian_product2 @t26 @t25)) (and @t141 (tptp.in @t2 @t25))))) % 281.12/281.44 (assume @p111 (forall @t6 (=> @t90 @t142))) % 281.12/281.44 (assume @p112 (forall @t79 (=> @t146 (= @t145 (and (tptp.in @t2 @t143) @t3))))) % 281.12/281.44 (assume @p113 (exists @t12 @t52)) % 281.12/281.44 (assume @p114 (exists @t12 (and @t14 @t13 @t16))) % 281.12/281.44 (assume @p115 (exists @t12 (and @t11 @t17))) % 281.12/281.44 (assume @p116 (forall @t12 (=> @t78 (exists @t63 (and @t106 @t133))))) % 281.12/281.44 (assume @p117 (exists @t12 @t11)) % 281.12/281.44 (assume @p118 (exists @t12 @t20)) % 281.12/281.44 (assume @p119 (exists @t12 @t135)) % 281.12/281.44 (assume @p120 (forall @t12 (exists @t63 (and @t106 @t76)))) % 281.12/281.44 (assume @p121 (exists @t12 @t78)) % 281.12/281.44 (assume @p122 (exists @t12 @t19)) % 281.12/281.44 (assume @p123 (exists @t12 @t131)) % 281.12/281.44 (assume @p124 (exists @t12 (and @t17 @t130 @t10))) % 281.12/281.44 (assume @p125 (forall @t6 (=> @t113 (= @t119 @t140)))) % 281.12/281.44 (assume @p126 (forall @t6 (=> @t113 (= @t121 (tptp.set_meet @t2))))) % 281.12/281.44 (assume @p127 (forall @t79 (=> @t124 (= @t122 @t147)))) % 281.12/281.44 (assume @p128 (forall @t6 (tptp.subset @t1 @t1))) % 281.12/281.44 (assume @p129 (forall @t6 (=> @t109 (tptp.disjoint @t2 @t1)))) % 281.12/281.44 (assume @p130 (forall @t12 (tptp.in @t1 @t62))) % 281.12/281.44 (assume @p131 (forall @t60 (not (and (= @t21 (tptp.unordered_pair @t26 @t25)) (not @t148) (not (= @t1 @t25)))))) % 281.12/281.44 (assume @p132 (forall @t79 (=> @t44 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t26))) (and @t5 (tptp.in @t1 @t149)))))) % 281.12/281.44 (assume @p133 (forall @t6 (=> @t33 (tptp.subset @t150 @t1)))) % 281.12/281.44 (assume @p134 (forall @t6 (=> @t33 (tptp.subset @t54 @t2)))) % 281.12/281.44 (assume @p135 (forall @t6 (=> @t33 (tptp.subset @t150 @t151)))) % 281.12/281.44 (assume @p136 (forall @t79 (=> @t35 (and (tptp.subset @t152 (tptp.cartesian_product2 @t2 @t26)) (tptp.subset (tptp.cartesian_product2 @t26 @t1) (tptp.cartesian_product2 @t26 @t2)))))) % 281.12/281.44 (assume @p137 (forall @t6 (=> @t33 (= @t150 (tptp.set_intersection2 @t151 @t1))))) % 281.12/281.44 (assume @p138 (forall @t60 (=> (and @t35 (tptp.subset @t26 @t25)) (tptp.subset @t152 (tptp.cartesian_product2 @t2 @t25))))) % 281.12/281.44 (assume @p139 (forall @t6 (=> @t35 (= @t23 @t2)))) % 281.12/281.44 (assume @p140 (forall @t12 (exists @t63 (and @t5 @t156 (forall @t55 (=> @t69 (tptp.in @t155 @t2))) @t154)))) % 281.12/281.44 (assume @p141 (forall @t79 (=> @t44 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t26) @t2) (tptp.relation_rng_restriction @t1 @t157))))) % 281.12/281.44 (assume @p142 (forall @t79 (=> @t44 (= (tptp.in @t1 (tptp.relation_image @t26 @t2)) (exists @t50 (and (tptp.in @t25 @t143) (tptp.in (tptp.ordered_pair @t25 @t1) @t26) @t40)))))) % 281.12/281.44 (assume @p143 (forall @t6 (=> @t33 (tptp.subset @t158 @t151)))) % 281.12/281.44 (assume @p144 (forall @t6 (=> @t161 (tptp.subset @t160 @t1)))) % 281.12/281.44 (assume @p145 (forall @t6 (=> @t33 (= @t158 (tptp.relation_image @t2 @t163))))) % 281.12/281.44 (assume @p146 (forall @t6 (=> @t33 (=> (tptp.subset @t1 @t162) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t158)))))) % 281.12/281.44 (assume @p147 (forall @t12 (=> @t17 (= (tptp.relation_image @t1 @t47) @t102)))) % 281.12/281.44 (assume @p148 (forall @t6 (=> @t161 (=> @t164 (= @t160 @t1))))) % 281.12/281.44 (assume @p149 (forall @t12 (=> @t17 (forall @t63 (=> @t33 (= @t165 (tptp.relation_image @t2 @t102))))))) % 281.12/281.44 (assume @p150 (forall @t79 (=> @t44 (= (tptp.in @t1 @t166) (exists @t50 (and (tptp.in @t25 @t149) (tptp.in (tptp.ordered_pair @t1 @t25) @t26) @t40)))))) % 281.12/281.44 (assume @p151 (forall @t6 (=> @t33 (tptp.subset @t159 @t162)))) % 281.12/281.44 (assume @p152 (forall @t6 (=> @t33 (not (and @t70 @t164 (= @t159 tptp.empty_set)))))) % 281.12/281.44 (assume @p153 (forall @t79 (=> @t44 (=> @t35 (tptp.subset (tptp.relation_inverse_image @t26 @t1) @t166))))) % 281.12/281.44 (assume @p154 (forall @t6 (tptp.subset @t24 @t1))) % 281.12/281.44 (assume @p155 (forall @t79 (=> (and @t35 @t168) (tptp.subset @t1 @t167)))) % 281.12/281.44 (assume @p156 (forall @t12 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 281.12/281.44 (assume @p157 (forall @t6 (=> @t5 @t169))) % 281.12/281.44 (assume @p158 (forall @t79 (=> (and @t35 (tptp.subset @t2 @t26)) @t168))) % 281.12/281.44 (assume @p159 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 281.12/281.44 (assume @p160 (forall @t79 (=> @t44 (=> @t171 (and @t170 (tptp.in @t2 @t149)))))) % 281.12/281.44 (assume @p161 (forall @t6 (=> @t161 (forall @t55 (=> @t146 (= @t174 (and @t170 (tptp.in @t172 @t162)))))))) % 281.12/281.44 (assume @p162 (forall @t12 (=> @t14 (forall @t63 (=> @t175 (=> @t9 @t5)))))) % 281.12/281.44 (assume @p163 (forall @t12 (=> @t17 (tptp.subset @t1 (tptp.cartesian_product2 @t47 @t102))))) % 281.12/281.44 (assume @p164 (forall @t6 (=> @t161 (forall @t55 (=> @t146 (=> @t174 (= (tptp.apply @t173 @t1) (tptp.apply @t2 @t172)))))))) % 281.12/281.44 (assume @p165 (forall @t6 (=> @t161 (forall @t55 (=> @t146 (=> (tptp.in @t1 @t162) (= (tptp.apply (tptp.relation_composition @t2 @t26) @t1) (tptp.apply @t26 (tptp.apply @t2 @t1))))))))) % 281.12/281.44 (assume @p166 @t178) % 281.12/281.44 (assume @p167 (forall @t12 (=> @t17 (forall @t63 (=> @t33 (=> @t35 (and (tptp.subset @t47 @t162) (tptp.subset @t102 @t151)))))))) % 281.12/281.44 (assume @p168 (forall @t79 (=> @t35 (tptp.subset (tptp.set_intersection2 @t1 @t26) @t167)))) % 281.12/281.44 (assume @p169 (forall @t6 (=> @t35 (= @t24 @t1)))) % 281.12/281.44 (assume @p170 (forall @t12 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 281.12/281.44 (assume @p171 (forall @t6 (=> @t169 (or @t76 @t5)))) % 281.12/281.44 (assume @p172 (forall @t6 (=> (forall @t55 (= @t27 @t69)) @t36))) % 281.12/281.44 (assume @p173 (forall @t12 (tptp.subset tptp.empty_set @t1))) % 281.12/281.44 (assume @p174 (forall @t79 (=> @t44 (=> @t171 (and (tptp.in @t1 @t179) (tptp.in @t2 @t179)))))) % 281.12/281.44 (assume @p175 (forall @t79 (=> @t35 (tptp.subset (tptp.set_difference @t1 @t26) @t147)))) % 281.12/281.44 (assume @p176 (forall @t60 (=> (= @t107 @t28) (and @t148 (= @t2 @t25))))) % 281.12/281.44 (assume @p177 (forall @t6 (=> @t161 (= @t32 (and (= @t162 @t1) (forall @t55 (=> @t27 (= @t180 @t26)))))))) % 281.12/281.44 (assume @p178 (forall @t6 (=> @t3 (= (tptp.apply @t31 @t2) @t2)))) % 281.12/281.44 (assume @p179 (forall @t6 (tptp.subset @t100 @t1))) % 281.12/281.44 (assume @p180 (forall @t12 (=> @t17 (and (= @t102 (tptp.relation_dom @t108)) (= @t47 (tptp.relation_rng @t108)))))) % 281.12/281.44 (assume @p181 (forall @t79 (= (tptp.subset @t21 @t26) (and @t141 @t85)))) % 281.12/281.44 (assume @p182 (forall @t6 (= @t181 @t23))) % 281.12/281.44 (assume @p183 (forall @t12 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 281.12/281.44 (assume @p184 @t182) % 281.12/281.44 (assume @p185 (forall @t6 (= @t142 @t35))) % 281.12/281.44 (assume @p186 (forall @t6 (and (not (and @t184 (forall @t55 (not @t183)))) (not (and (exists @t55 @t183) @t109))))) % 281.12/281.44 (assume @p187 (forall @t12 (=> (tptp.subset @t1 tptp.empty_set) @t66))) % 281.12/281.44 (assume @p188 (forall @t6 (= (tptp.set_difference @t23 @t2) @t100))) % 281.12/281.44 (assume @p189 (forall @t6 (=> @t106 (forall @t55 (=> @t123 (= @t186 (tptp.subset @t2 @t185))))))) % 281.12/281.44 (assume @p190 (forall @t12 (=> @t17 (forall @t63 (=> @t33 (tptp.subset @t187 @t47)))))) % 281.12/281.44 (assume @p191 (forall @t12 (=> @t17 (forall @t63 (=> @t33 (tptp.subset @t165 @t151)))))) % 281.12/281.44 (assume @p192 (forall @t6 (=> @t35 (= @t2 @t181)))) % 281.12/281.44 (assume @p193 (forall @t12 (=> @t17 (forall @t63 (=> @t33 (=> (tptp.subset @t102 @t162) (= @t187 @t47))))))) % 281.12/281.44 (assume @p194 (forall @t6 (=> @t113 (not (and @t188 (= @t111 tptp.empty_set)))))) % 281.12/281.44 (assume @p195 (forall @t12 (=> @t17 (forall @t63 (=> @t33 (=> (tptp.subset @t47 @t151) (= (tptp.relation_rng @t126) @t102))))))) % 281.12/281.44 (assume @p196 (forall @t6 (=> @t113 (=> @t188 (= (tptp.subset_difference @t1 @t99 @t119) (tptp.meet_of_subsets @t1 @t111)))))) % 281.12/281.44 (assume @p197 (forall @t6 (=> @t113 (=> @t188 (= (tptp.union_of_subsets @t1 @t111) (tptp.subset_difference @t1 @t99 @t121)))))) % 281.12/281.44 (assume @p198 (forall @t6 (= (tptp.set_difference @t1 @t100) @t24))) % 281.12/281.44 (assume @p199 (forall @t12 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 281.12/281.44 (assume @p200 (forall @t79 (=> (and @t5 @t189) (tptp.element @t1 @t26)))) % 281.12/281.44 (assume @p201 (forall @t6 (and (not (and @t184 (forall @t55 (not @t190)))) (not (and (exists @t55 @t190) @t109))))) % 281.12/281.44 (assume @p202 (forall @t12 (=> @t70 (forall @t63 (=> @t106 (forall @t55 (=> (tptp.element @t26 @t1) (=> @t82 (tptp.in @t26 @t105))))))))) % 281.12/281.44 (assume @p203 (forall @t12 (=> @t52 (=> @t18 (forall @t63 (=> @t161 (= (= @t2 @t115) (and (= @t162 @t102) (forall @t30 (and (=> @t191 @t101) (=> @t101 @t191))))))))))) % 281.12/281.44 (assume @p204 (forall @t79 (=> @t123 (not (and (tptp.in @t2 @t185) @t85))))) % 281.12/281.44 (assume @p205 (forall @t12 (=> @t52 (=> @t18 (and (= @t102 (tptp.relation_dom @t115)) (= @t47 (tptp.relation_rng @t115))))))) % 281.12/281.44 (assume @p206 (forall @t12 (=> @t17 (=> (forall @t45 (not @t96)) @t66)))) % 281.12/281.44 (assume @p207 (forall @t6 (=> @t161 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t151)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t192 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t192 @t2) @t1))))))) % 281.12/281.44 (assume @p208 (forall @t79 (not (and @t5 @t189 (tptp.empty @t26))))) % 281.12/281.44 (assume @p209 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 281.12/281.44 (assume @p210 (forall @t6 (not (and @t35 @t8)))) % 281.12/281.44 (assume @p211 (forall @t12 (=> @t52 (=> @t18 (tptp.one_to_one @t115))))) % 281.12/281.44 (assume @p212 (forall @t79 (=> (and @t35 @t186) (tptp.disjoint @t1 @t26)))) % 281.12/281.44 (assume @p213 (forall @t12 (=> @t17 (=> (or @t194 @t193) @t66)))) % 281.12/281.44 (assume @p214 (forall @t12 (=> @t17 (= @t194 @t193)))) % 281.12/281.44 (assume @p215 @t197) % 281.12/281.44 (assume @p216 (forall @t6 (=> @t161 (forall @t55 (=> @t146 (= (= @t2 @t144) (and (= @t162 (tptp.set_intersection2 @t143 @t1)) (forall @t50 (=> (tptp.in @t25 @t162) (= (tptp.apply @t2 @t25) (tptp.apply @t26 @t25))))))))))) % 281.12/281.44 (assume @p217 @t199) % 281.12/281.44 (assume @p218 (forall @t12 (=> @t11 @t66))) % 281.12/281.44 (assume @p219 (forall @t6 (=> (tptp.subset @t61 @t139) @t36))) % 281.12/281.44 (assume @p220 (forall @t79 (=> @t146 (=> @t145 @t200)))) % 281.12/281.44 (assume @p221 (forall @t12 (and (= (tptp.relation_dom @t31) @t1) (= (tptp.relation_rng @t31) @t1)))) % 281.12/281.44 (assume @p222 (forall @t79 (=> @t146 (=> @t3 @t200)))) % 281.12/281.44 (assume @p223 (forall @t60 (=> (tptp.relation @t25) (= (tptp.in @t107 (tptp.relation_composition (tptp.identity_relation @t26) @t25)) (and @t141 (tptp.in @t107 @t25)))))) % 281.12/281.44 (assume @p224 (forall @t6 (not (and @t5 @t76)))) % 281.12/281.44 (assume @p225 (forall @t6 (not (and @t5 (forall @t55 (not (and @t69 (forall @t50 (not (and @t40 @t49)))))))))) % 281.12/281.44 (assume @p226 (forall @t6 (tptp.subset @t1 @t23))) % 281.12/281.44 (assume @p227 (forall @t6 (= @t109 (= @t100 @t1)))) % 281.12/281.44 (assume @p228 (forall @t79 (=> @t44 (= (tptp.in @t1 (tptp.relation_dom @t157)) (and @t5 @t170))))) % 281.12/281.44 (assume @p229 (forall @t6 (=> @t33 (tptp.subset @t201 @t2)))) % 281.12/281.44 (assume @p230 (forall @t6 (not (and @t11 @t114 @t76)))) % 281.12/281.44 (assume @p231 (forall @t79 (=> @t146 (= @t171 (and @t170 (= @t2 @t172)))))) % 281.12/281.44 (assume @p232 (forall @t79 (=> (and @t35 @t153) (tptp.subset (tptp.set_union2 @t1 @t26) @t2)))) % 281.12/281.44 (assume @p233 (forall @t79 (=> @t202 @t36))) % 281.12/281.44 (assume @p234 (forall @t6 (=> @t33 (= (tptp.relation_dom @t201) @t163)))) % 281.12/281.44 (assume @p235 (forall @t6 (=> @t33 (= @t201 (tptp.relation_composition @t31 @t2))))) % 281.12/281.44 (assume @p236 (forall @t6 (=> @t33 (tptp.subset (tptp.relation_rng @t201) @t151)))) % 281.12/281.44 (assume @p237 (forall @t12 (= (tptp.union @t71) @t1))) % 281.12/281.44 (assume @p238 (forall @t12 (exists @t63 (and @t5 @t156 (forall @t55 (not (and @t69 (forall @t50 (not (and @t40 (forall @t48 (=> (tptp.subset @t37 @t26) @t59)))))))) @t154)))) % 281.12/281.44 (assume @p239 (forall @t79 (=> @t202 @t83))) % 281.12/281.44 (step @p240 :rule cnf_or_neg :args (@t251 0)) % 281.12/281.44 (step @p241 :rule cnf_or_neg :args (@t251 1)) % 281.12/281.44 (step @p242 :rule bool-double-not-elim :args (@t246)) % 281.12/281.44 (step @p243 :rule refl :args (@t251)) % 281.12/281.44 (step @p244 :rule nary_cong :premises (@p243 @p242) :args ((or @t251 (not @t247)))) % 281.12/281.44 (step @p245 :rule cnf_or_neg :args (@t251 2)) % 281.12/281.44 (step @p246 :rule eq_resolve :premises (@p245 @p244)) % 281.12/281.44 (step @p247 :rule reordering :premises (@p246) :args ((or @t246 @t251))) % 281.12/281.44 (step @p248 :rule cnf_or_neg :args (@t251 3)) % 281.12/281.44 (step @p249 :rule bool-double-not-elim :args (@t242)) % 281.12/281.44 (step @p250 :rule nary_cong :premises (@p243 @p249) :args ((or @t251 (not @t243)))) % 281.12/281.44 (step @p251 :rule cnf_or_neg :args (@t251 4)) % 281.12/281.44 (step @p252 :rule eq_resolve :premises (@p251 @p250)) % 281.12/281.44 (step @p253 :rule reordering :premises (@p252) :args ((or @t242 @t251))) % 281.12/281.44 (step @p254 :rule refl :args (@t206)) % 281.12/281.44 (step @p255 :rule eq-symm :args (@t203 @t205)) % 281.12/281.44 (step @p256 :rule refl :args (@t208)) % 281.12/281.44 (step @p257 :rule refl :args (@t209)) % 281.12/281.44 (step @p258 :rule refl :args (@t210)) % 281.12/281.44 (step @p259 :rule nary_cong :premises (@p258 @p257 @p256 @p255 @p254) :args (@t252)) % 281.12/281.44 (step @p260 :rule refl :args (@t214)) % 281.12/281.44 (step @p261 :rule nary_cong :premises (@p260 @p259) :args (@t253)) % 281.12/281.44 (step @p262 :rule refl :args (@t215)) % 281.12/281.44 (step @p263 :rule refl :args (@t226)) % 281.12/281.44 (step @p264 :rule refl :args (@t236)) % 281.12/281.44 (step @p265 :rule nary_cong :premises (@p264 @p263 @p262 @p261) :args (@t254)) % 281.12/281.44 (step @p266 :rule cong :premises (@p265) :args (@t255)) % 281.12/281.44 (step @p267 :rule quant-merge-prenex :args ((= (forall @t6 @t257) @t255))) % 281.12/281.44 (step @p268 :rule alpha_equiv :args (@t258 (@list @t205 @t203) (@list @t259 @t26))) % 281.12/281.44 (step @p269 :rule quant-unused-vars :args ((= @t260 @t258))) % 281.12/281.44 (step @p270 :rule trans :premises (@p269 @p268)) % 281.12/281.44 (step @p271 :rule alpha_equiv :args (@t261 (@list @t213 @t211) (@list @t262 @t227))) % 281.12/281.44 (step @p272 :rule quant-unused-vars :args ((= @t263 @t261))) % 281.12/281.44 (step @p273 :rule trans :premises (@p272 @p271)) % 281.12/281.44 (step @p274 :rule nary_cong :premises (@p273 @p270) :args (@t264)) % 281.12/281.44 (step @p275 :rule quant-miniscope-and :args ((= @t265 @t264))) % 281.12/281.44 (step @p276 :rule trans :premises (@p275 @p274)) % 281.12/281.44 (step @p277 :rule refl :args (@t215)) % 281.12/281.44 (step @p278 :rule refl :args (@t226)) % 281.12/281.44 (step @p279 :rule refl :args (@t236)) % 281.12/281.44 (step @p280 :rule nary_cong :premises (@p279 @p278 @p277 @p276) :args (@t266)) % 281.12/281.44 (step @p281 :rule quant-miniscope-or :args ((= @t257 @t266))) % 281.12/281.44 (step @p282 :rule trans :premises (@p281 @p280)) % 281.12/281.44 (step @p283 :rule symm :premises (@p282)) % 281.12/281.44 (step @p284 :rule cong :premises (@p283) :args ((forall @t6 @t276))) % 281.12/281.44 (step @p285 :rule trans :premises (@p284 @p267)) % 281.12/281.44 (step @p286 :rule trans :premises (@p285 @p266)) % 281.12/281.44 (step @p287 :rule aci_norm :args ((= (or (or @t236 @t226) @t215 @t275) @t276))) % 281.12/281.44 (step @p288 :rule refl :args (@t275)) % 281.12/281.44 (step @p289 :rule bool-and-de-morgan :args (@t235 @t225 true)) % 281.12/281.44 (step @p290 :rule nary_cong :premises (@p289 @p277 @p288) :args (@t278)) % 281.12/281.44 (step @p291 :rule trans :premises (@p290 @p287)) % 281.12/281.44 (step @p292 :rule cong :premises (@p291) :args ((forall @t6 @t278))) % 281.12/281.44 (step @p293 :rule trans :premises (@p292 @p286)) % 281.12/281.44 (step @p294 :rule refl :args (@t267)) % 281.12/281.44 (step @p295 :rule eq-symm :args (@t259 @t26)) % 281.12/281.44 (step @p296 :rule refl :args (@t269)) % 281.12/281.44 (step @p297 :rule refl :args (@t270)) % 281.12/281.44 (step @p298 :rule refl :args (@t271)) % 281.12/281.44 (step @p299 :rule nary_cong :premises (@p298 @p297 @p296 @p295 @p294) :args (@t279)) % 281.12/281.44 (step @p300 :rule cong :premises (@p299) :args (@t280)) % 281.12/281.44 (step @p301 :rule refl :args (@t274)) % 281.12/281.44 (step @p302 :rule nary_cong :premises (@p301 @p300) :args (@t281)) % 281.12/281.44 (step @p303 :rule refl :args (@t277)) % 281.12/281.44 (step @p304 :rule nary_cong :premises (@p303 @p262 @p302) :args (@t282)) % 281.12/281.44 (step @p305 :rule cong :premises (@p304) :args ((forall @t6 @t282))) % 281.12/281.44 (step @p306 :rule trans :premises (@p305 @p293)) % 281.12/281.44 (step @p307 :rule alpha_equiv :args (@t286 @t287 (@list @t259))) % 281.12/281.44 (step @p308 :rule alpha_equiv :args (@t289 @t287 (@list @t262))) % 281.12/281.44 (step @p309 :rule nary_cong :premises (@p308 @p307) :args (@t290)) % 281.12/281.44 (step @p310 :rule refl :args (@t277)) % 281.12/281.44 (step @p311 :rule nary_cong :premises (@p310 @p277 @p309) :args (@t291)) % 281.12/281.44 (step @p312 :rule cong :premises (@p311) :args ((forall @t6 @t291))) % 281.12/281.44 (step @p313 :rule trans :premises (@p312 @p306)) % 281.12/281.44 (step @p314 :rule beta-reduce :args ((= @t294 @t216))) % 281.12/281.44 (step @p315 :rule refl :args (@t2)) % 281.12/281.44 (step @p316 :rule cong :premises (@p315 @p314) :args (@t295)) % 281.12/281.44 (step @p317 :rule cong :premises (@p315 @p316) :args (@t296)) % 281.12/281.44 (step @p318 :rule cong :premises (@p317) :args (@t297)) % 281.12/281.44 (step @p319 :rule beta-reduce :args ((= @t302 @t297))) % 281.12/281.44 (step @p320 :rule trans :premises (@p319 @p318)) % 281.12/281.44 (step @p321 :rule refl :args (@t83)) % 281.12/281.44 (step @p322 :rule beta-reduce :args ((= @t303 @t283))) % 281.12/281.44 (step @p323 :rule refl :args (@t26)) % 281.12/281.44 (step @p324 :rule cong :premises (@p323 @p322) :args (@t304)) % 281.12/281.44 (step @p325 :rule cong :premises (@p323 @p324) :args (@t305)) % 281.12/281.44 (step @p326 :rule cong :premises (@p325) :args (@t306)) % 281.12/281.44 (step @p327 :rule beta-reduce :args ((= @t307 @t306))) % 281.12/281.44 (step @p328 :rule trans :premises (@p327 @p326)) % 281.12/281.44 (step @p329 :rule bool-double-not-elim :args (@t270)) % 281.12/281.44 (step @p330 :rule refl :args (@t1)) % 281.12/281.44 (step @p331 :rule cong :premises (@p330 @p314) :args (@t308)) % 281.12/281.44 (step @p332 :rule cong :premises (@p330 @p331) :args (@t309)) % 281.12/281.44 (step @p333 :rule cong :premises (@p332) :args (@t310)) % 281.12/281.44 (step @p334 :rule beta-reduce :args ((= @t311 @t310))) % 281.12/281.44 (step @p335 :rule trans :premises (@p334 @p333)) % 281.12/281.44 (step @p336 :rule cong :premises (@p335) :args (@t312)) % 281.12/281.44 (step @p337 :rule trans :premises (@p336 @p329)) % 281.12/281.44 (step @p338 :rule bool-double-not-elim :args (@t285)) % 281.12/281.44 (step @p339 :rule cong :premises (@p330 @p322) :args (@t313)) % 281.12/281.44 (step @p340 :rule cong :premises (@p330 @p339) :args (@t314)) % 281.12/281.44 (step @p341 :rule cong :premises (@p340) :args (@t315)) % 281.12/281.44 (step @p342 :rule beta-reduce :args ((= @t316 @t315))) % 281.12/281.44 (step @p343 :rule trans :premises (@p342 @p341)) % 281.12/281.44 (step @p344 :rule cong :premises (@p343) :args (@t317)) % 281.12/281.44 (step @p345 :rule trans :premises (@p344 @p338)) % 281.12/281.44 (step @p346 :rule nary_cong :premises (@p345 @p337 @p328 @p321 @p320) :args (@t318)) % 281.12/281.44 (step @p347 :rule cong :premises (@p346) :args (@t319)) % 281.12/281.44 (step @p348 :rule beta-reduce :args ((= @t320 @t228))) % 281.12/281.44 (step @p349 :rule cong :premises (@p330 @p348) :args (@t321)) % 281.12/281.44 (step @p350 :rule cong :premises (@p330 @p349) :args (@t322)) % 281.12/281.44 (step @p351 :rule cong :premises (@p350) :args (@t323)) % 281.12/281.44 (step @p352 :rule beta-reduce :args ((= @t324 @t323))) % 281.12/281.44 (step @p353 :rule trans :premises (@p352 @p351)) % 281.12/281.44 (step @p354 :rule bool-double-not-elim :args (@t229)) % 281.12/281.44 (step @p355 :rule cong :premises (@p315 @p348) :args (@t325)) % 281.12/281.44 (step @p356 :rule cong :premises (@p315 @p355) :args (@t326)) % 281.12/281.44 (step @p357 :rule cong :premises (@p356) :args (@t327)) % 281.12/281.44 (step @p358 :rule beta-reduce :args ((= @t328 @t327))) % 281.12/281.44 (step @p359 :rule trans :premises (@p358 @p357)) % 281.12/281.44 (step @p360 :rule cong :premises (@p359) :args (@t329)) % 281.12/281.44 (step @p361 :rule trans :premises (@p360 @p354)) % 281.12/281.44 (step @p362 :rule nary_cong :premises (@p345 @p361 @p353) :args (@t330)) % 281.12/281.44 (step @p363 :rule cong :premises (@p362) :args (@t331)) % 281.12/281.44 (step @p364 :rule nary_cong :premises (@p363 @p347) :args (@t332)) % 281.12/281.44 (step @p365 :rule beta-reduce :args ((= @t342 @t332))) % 281.12/281.44 (step @p366 :rule trans :premises (@p365 @p364)) % 281.12/281.44 (step @p367 :rule bool-double-not-elim :args (@t215)) % 281.12/281.44 (step @p368 :rule beta-reduce :args ((= @t343 @t198))) % 281.12/281.44 (step @p369 :rule cong :premises (@p315 @p368) :args (@t344)) % 281.12/281.44 (step @p370 :rule cong :premises (@p315 @p369) :args (@t345)) % 281.12/281.44 (step @p371 :rule cong :premises (@p370) :args (@t346)) % 281.12/281.44 (step @p372 :rule beta-reduce :args ((= @t347 @t346))) % 281.12/281.44 (step @p373 :rule trans :premises (@p372 @p371)) % 281.12/281.44 (step @p374 :rule cong :premises (@p373) :args (@t348)) % 281.12/281.44 (step @p375 :rule trans :premises (@p374 @p367)) % 281.12/281.44 (step @p376 :rule refl :args (@t217)) % 281.12/281.44 (step @p377 :rule cong :premises (@p376 @p314) :args (@t349)) % 281.12/281.44 (step @p378 :rule cong :premises (@p376 @p377) :args (@t350)) % 281.12/281.44 (step @p379 :rule cong :premises (@p378) :args (@t351)) % 281.12/281.44 (step @p380 :rule beta-reduce :args ((= @t352 @t351))) % 281.12/281.44 (step @p381 :rule trans :premises (@p380 @p379)) % 281.12/281.44 (step @p382 :rule eq-symm :args (@t217 @t26)) % 281.12/281.44 (step @p383 :rule beta-reduce :args ((= @t353 @t220))) % 281.12/281.44 (step @p384 :rule cong :premises (@p323 @p383) :args (@t354)) % 281.12/281.44 (step @p385 :rule cong :premises (@p323 @p384) :args (@t355)) % 281.12/281.44 (step @p386 :rule cong :premises (@p385) :args (@t356)) % 281.12/281.44 (step @p387 :rule beta-reduce :args ((= @t357 @t356))) % 281.12/281.44 (step @p388 :rule trans :premises (@p387 @p386)) % 281.12/281.44 (step @p389 :rule bool-double-not-elim :args (@t222)) % 281.12/281.44 (step @p390 :rule cong :premises (@p320) :args (@t358)) % 281.12/281.44 (step @p391 :rule trans :premises (@p390 @p389)) % 281.12/281.44 (step @p392 :rule bool-double-not-elim :args (@t223)) % 281.12/281.44 (step @p393 :rule cong :premises (@p315 @p383) :args (@t359)) % 281.12/281.44 (step @p394 :rule cong :premises (@p315 @p393) :args (@t360)) % 281.12/281.44 (step @p395 :rule cong :premises (@p394) :args (@t361)) % 281.12/281.44 (step @p396 :rule beta-reduce :args ((= @t362 @t361))) % 281.12/281.44 (step @p397 :rule trans :premises (@p396 @p395)) % 281.12/281.44 (step @p398 :rule cong :premises (@p397) :args (@t363)) % 281.12/281.44 (step @p399 :rule trans :premises (@p398 @p392)) % 281.12/281.44 (step @p400 :rule nary_cong :premises (@p399 @p391 @p388 @p382 @p381) :args (@t365)) % 281.12/281.44 (step @p401 :rule cong :premises (@p400) :args (@t366)) % 281.12/281.44 (step @p402 :rule bool-double-not-elim :args (@t231)) % 281.12/281.44 (step @p403 :rule refl :args (@t230)) % 281.12/281.44 (step @p404 :rule cong :premises (@p403 @p348) :args (@t367)) % 281.12/281.44 (step @p405 :rule cong :premises (@p403 @p404) :args (@t368)) % 281.12/281.44 (step @p406 :rule cong :premises (@p405) :args (@t369)) % 281.12/281.44 (step @p407 :rule beta-reduce :args ((= @t370 @t369))) % 281.12/281.44 (step @p408 :rule trans :premises (@p407 @p406)) % 281.12/281.44 (step @p409 :rule cong :premises (@p408) :args (@t371)) % 281.12/281.44 (step @p410 :rule trans :premises (@p409 @p402)) % 281.12/281.44 (step @p411 :rule bool-double-not-elim :args (@t233)) % 281.12/281.44 (step @p412 :rule beta-reduce :args ((= @t372 @t232))) % 281.12/281.44 (step @p413 :rule cong :premises (@p315 @p412) :args (@t373)) % 281.12/281.44 (step @p414 :rule cong :premises (@p315 @p413) :args (@t374)) % 281.12/281.44 (step @p415 :rule cong :premises (@p414) :args (@t375)) % 281.12/281.44 (step @p416 :rule beta-reduce :args ((= @t376 @t375))) % 281.12/281.44 (step @p417 :rule trans :premises (@p416 @p415)) % 281.12/281.44 (step @p418 :rule cong :premises (@p417) :args (@t377)) % 281.12/281.44 (step @p419 :rule trans :premises (@p418 @p411)) % 281.12/281.44 (step @p420 :rule nary_cong :premises (@p419 @p410 @p359) :args (@t378)) % 281.12/281.44 (step @p421 :rule cong :premises (@p420) :args (@t379)) % 281.12/281.44 (step @p422 :rule nary_cong :premises (@p421 @p401) :args (@t380)) % 281.12/281.44 (step @p423 :rule beta-reduce :args ((= (_ (lambda @t340 (and (forall @t234 (or (not (_ @t301 @t230 @t333)) @t371 @t337)) (forall @t224 (or (not (_ @t301 @t217 @t333)) @t334 @t357 @t364 @t352)))) @t2) @t380))) % 281.12/281.44 (step @p424 :rule trans :premises (@p423 @p422)) % 281.12/281.44 (step @p425 :rule refl :args (@t2)) % 281.12/281.44 (step @p426 :rule alpha_equiv :args (@t336 @t287 (@list @t217))) % 281.12/281.44 (step @p427 :rule alpha_equiv :args (@t338 @t287 (@list @t230))) % 281.12/281.44 (step @p428 :rule nary_cong :premises (@p427 @p426) :args (@t339)) % 281.12/281.44 (step @p429 :rule cong :premises (@p428) :args (@t341)) % 281.12/281.44 (step @p430 :rule ho_cong :premises (@p429 @p425)) % 281.12/281.44 (step @p431 :rule trans :premises (@p430 @p424)) % 281.12/281.44 (step @p432 :rule cong :premises (@p431) :args (@t381)) % 281.12/281.44 (step @p433 :rule nary_cong :premises (@p432 @p375 @p366) :args (@t382)) % 281.12/281.44 (step @p434 :rule cong :premises (@p433) :args (@t383)) % 281.12/281.44 (step @p435 :rule trans :premises (@p434 @p313)) % 281.12/281.44 (step @p436 :rule cong :premises (@p435) :args ((not @t383))) % 281.12/281.44 (step @p437 :rule refl :args (@t298)) % 281.12/281.44 ; WARNING: add trust step for TRUST % 281.12/281.44 ; trust TRUST SUBS_EQ % 281.12/281.44 (step @p438 :rule trust :premises () :args ((= (forall @t12 (= @t61 @t198)) (= tptp.singleton @t293)))) % 281.12/281.44 (step @p439 :rule eq-symm :args (@t198 @t61)) % 281.12/281.44 (step @p440 :rule cong :premises (@p439) :args (@t199)) % 281.12/281.44 (step @p441 :rule eq_resolve :premises (@p217 @p440)) % 281.12/281.44 (step @p442 :rule eq_resolve :premises (@p441 @p438)) % 281.12/281.44 (step @p443 :rule ho_cong :premises (@p442 @p437)) % 281.12/281.44 (step @p444 :rule refl :args (@t299)) % 281.12/281.44 (step @p445 :rule cong :premises (@p444 @p443) :args (@t384)) % 281.12/281.44 (step @p446 :rule cong :premises (@p444 @p445) :args (@t385)) % 281.12/281.44 (step @p447 :rule cong :premises (@p446) :args (@t386)) % 281.12/281.44 (step @p448 :rule cong :premises (@p447) :args (@t387)) % 281.12/281.44 ; trust TRUST SUBS_EQ % 281.12/281.44 (step @p449 :rule trust :premises () :args ((= (forall @t6 (= @t4 (= @t1 @t195))) (= tptp.in @t387)))) % 281.12/281.44 (step @p450 :rule eq-symm :args (@t195 @t1)) % 281.12/281.44 (step @p451 :rule refl :args (@t4)) % 281.12/281.44 (step @p452 :rule cong :premises (@p451 @p450) :args ((= @t4 @t196))) % 281.12/281.44 (step @p453 :rule eq-symm :args (@t196 @t4)) % 281.12/281.44 (step @p454 :rule trans :premises (@p453 @p452)) % 281.12/281.44 (step @p455 :rule cong :premises (@p454) :args (@t197)) % 281.12/281.44 (step @p456 :rule eq_resolve :premises (@p215 @p455)) % 281.12/281.44 (step @p457 :rule eq_resolve :premises (@p456 @p449)) % 281.12/281.44 (step @p458 :rule trans :premises (@p457 @p448)) % 281.12/281.44 (step @p459 :rule ho_cong :premises (@p458 @p323 @p315)) % 281.12/281.44 (step @p460 :rule ho_cong :premises (@p458 @p315 @p323)) % 281.12/281.44 (step @p461 :rule refl :args (@t333)) % 281.12/281.44 (step @p462 :rule ho_cong :premises (@p458 @p323 @p461)) % 281.12/281.44 (step @p463 :rule cong :premises (@p462) :args (@t388)) % 281.12/281.44 (step @p464 :rule ho_cong :premises (@p458 @p315 @p461)) % 281.12/281.44 (step @p465 :rule cong :premises (@p464) :args (@t389)) % 281.12/281.44 (step @p466 :rule nary_cong :premises (@p465 @p463 @p460 @p321 @p459) :args (@t390)) % 281.12/281.44 (step @p467 :rule cong :premises (@p466) :args (@t391)) % 281.12/281.44 (step @p468 :rule refl :args (@t227)) % 281.12/281.44 (step @p469 :rule ho_cong :premises (@p458 @p468 @p461)) % 281.12/281.44 (step @p470 :rule ho_cong :premises (@p458 @p468 @p315)) % 281.12/281.44 (step @p471 :rule cong :premises (@p470) :args (@t392)) % 281.12/281.44 (step @p472 :rule nary_cong :premises (@p465 @p471 @p469) :args (@t393)) % 281.12/281.44 (step @p473 :rule cong :premises (@p472) :args (@t394)) % 281.12/281.44 (step @p474 :rule nary_cong :premises (@p473 @p467) :args (@t395)) % 281.12/281.44 (step @p475 :rule cong :premises (@p474) :args (@t396)) % 281.12/281.44 ; trust TRUST SUBS_EQ % 281.12/281.44 (step @p476 :rule trust :premises () :args ((= (forall @t12 (= @t16 (and (forall @t288 @t400) @t398))) (= tptp.ordinal @t396)))) % 281.12/281.44 (step @p477 :rule beta-reduce :args ((= @t403 @t398))) % 281.12/281.44 (step @p478 :rule aci_norm :args ((= @t405 @t400))) % 281.12/281.44 (step @p479 :rule cong :premises (@p478) :args (@t406)) % 281.12/281.44 (step @p480 :rule quant-merge-prenex :args ((= (forall @t63 @t408) @t406))) % 281.12/281.44 (step @p481 :rule alpha_equiv :args (@t409 (@list @t227) (@list @t26))) % 281.12/281.44 (step @p482 :rule refl :args (@t4)) % 281.12/281.44 (step @p483 :rule nary_cong :premises (@p482 @p481) :args (@t410)) % 281.12/281.44 (step @p484 :rule quant-miniscope-or :args ((= @t408 @t410))) % 281.12/281.44 (step @p485 :rule trans :premises (@p484 @p483)) % 281.12/281.44 (step @p486 :rule symm :premises (@p485)) % 281.12/281.44 (step @p487 :rule cong :premises (@p486) :args ((forall @t63 (or @t4 @t411)))) % 281.12/281.44 (step @p488 :rule trans :premises (@p487 @p480)) % 281.12/281.44 (step @p489 :rule trans :premises (@p488 @p479)) % 281.12/281.44 (step @p490 :rule beta-reduce :args ((= @t415 @t411))) % 281.12/281.44 (step @p491 :rule nary_cong :premises (@p451 @p490) :args (@t416)) % 281.12/281.44 (step @p492 :rule cong :premises (@p491) :args (@t417)) % 281.12/281.44 (step @p493 :rule trans :premises (@p492 @p489)) % 281.12/281.44 (step @p494 :rule beta-reduce :args ((= @t421 @t417))) % 281.12/281.44 (step @p495 :rule trans :premises (@p494 @p493)) % 281.12/281.44 (step @p496 :rule nary_cong :premises (@p495 @p477) :args (@t422)) % 281.12/281.44 (step @p497 :rule refl :args (@t16)) % 281.12/281.44 (step @p498 :rule cong :premises (@p497 @p496) :args (@t423)) % 281.12/281.44 (step @p499 :rule cong :premises (@p498) :args ((forall @t12 @t423))) % 281.12/281.44 ; trust TRUST SUBS_EQ % 281.12/281.44 (step @p500 :rule trust :premises () :args ((= (forall @t12 (= @t13 @t398)) (= tptp.epsilon_connected @t402)))) % 281.12/281.44 (step @p501 :rule bool-double-not-elim :args (@t69)) % 281.12/281.44 (step @p502 :rule bool-double-not-elim :args (@t83)) % 281.12/281.44 (step @p503 :rule bool-double-not-elim :args (@t85)) % 281.12/281.44 (step @p504 :rule refl :args (@t397)) % 281.12/281.44 (step @p505 :rule nary_cong :premises (@p482 @p504 @p503 @p502 @p501) :args (@t427)) % 281.12/281.44 (step @p506 :rule aci_norm :args ((= (or @t4 (or @t397 (or @t426 (or @t425 @t424)))) @t427))) % 281.12/281.44 (step @p507 :rule trans :premises (@p506 @p505)) % 281.12/281.44 (step @p508 :rule bool-and-de-morgan :args (@t84 @t82 true)) % 281.12/281.44 (step @p509 :rule refl :args (@t426)) % 281.12/281.44 (step @p510 :rule nary_cong :premises (@p509 @p508) :args ((or @t426 (not (and @t84 @t82))))) % 281.12/281.44 (step @p511 :rule bool-and-de-morgan :args (@t86 @t84 (and @t82))) % 281.12/281.44 (step @p512 :rule trans :premises (@p511 @p510)) % 281.12/281.44 (step @p513 :rule nary_cong :premises (@p504 @p512) :args ((or @t397 (not (and @t86 @t84 @t82))))) % 281.12/281.44 (step @p514 :rule bool-and-de-morgan :args (@t27 @t86 (and @t84 @t82))) % 281.12/281.44 (step @p515 :rule trans :premises (@p514 @p513)) % 281.12/281.44 (step @p516 :rule nary_cong :premises (@p482 @p515) :args ((or @t4 (not (and @t27 @t86 @t84 @t82))))) % 281.12/281.44 (step @p517 :rule bool-and-de-morgan :args (@t3 @t27 (and @t86 @t84 @t82))) % 281.12/281.44 (step @p518 :rule trans :premises (@p517 @p516)) % 281.12/281.44 (step @p519 :rule trans :premises (@p518 @p507)) % 281.12/281.44 (step @p520 :rule cong :premises (@p519) :args (@t87)) % 281.12/281.44 (step @p521 :rule refl :args (@t13)) % 281.12/281.44 (step @p522 :rule cong :premises (@p521 @p520) :args (@t88)) % 281.12/281.44 (step @p523 :rule cong :premises (@p522) :args (@t89)) % 281.12/281.44 (step @p524 :rule eq_resolve :premises (@p32 @p523)) % 281.12/281.44 (step @p525 :rule eq_resolve :premises (@p524 @p500)) % 281.12/281.44 (step @p526 :rule ho_cong :premises (@p525 @p330)) % 281.12/281.44 (step @p527 :rule refl :args (@t418)) % 281.12/281.44 ; trust TRUST SUBS_EQ % 281.12/281.44 (step @p528 :rule trust :premises () :args ((= (forall @t6 (= @t35 (forall @t55 (or @t397 @t69)))) (= tptp.subset @t414)))) % 281.12/281.44 (step @p529 :rule bool-impl-elim :args (@t27 @t69)) % 281.12/281.44 (step @p530 :rule cong :premises (@p529) :args (@t90)) % 281.12/281.44 (step @p531 :rule refl :args (@t35)) % 281.12/281.44 (step @p532 :rule cong :premises (@p531 @p530) :args (@t91)) % 281.12/281.44 (step @p533 :rule cong :premises (@p532) :args (@t92)) % 281.12/281.44 (step @p534 :rule eq_resolve :premises (@p34 @p533)) % 281.12/281.44 (step @p535 :rule eq_resolve :premises (@p534 @p528)) % 281.12/281.44 (step @p536 :rule ho_cong :premises (@p535 @p315 @p527)) % 281.12/281.44 (step @p537 :rule refl :args (@t419)) % 281.12/281.44 (step @p538 :rule nary_cong :premises (@p537 @p536) :args (@t428)) % 281.12/281.44 (step @p539 :rule cong :premises (@p538) :args (@t429)) % 281.12/281.44 (step @p540 :rule cong :premises (@p539) :args (@t430)) % 281.12/281.44 ; trust TRUST SUBS_EQ % 281.12/281.44 (step @p541 :rule trust :premises () :args ((= (forall @t12 (= @t14 (forall @t63 (or @t4 @t34)))) (= tptp.epsilon_transitive @t430)))) % 281.12/281.44 (step @p542 :rule bool-impl-elim :args (@t3 @t34)) % 281.12/281.44 (step @p543 :rule cong :premises (@p542) :args (@t72)) % 281.12/281.44 (step @p544 :rule refl :args (@t14)) % 281.12/281.44 (step @p545 :rule cong :premises (@p544 @p543) :args (@t73)) % 281.12/281.44 (step @p546 :rule cong :premises (@p545) :args (@t74)) % 281.12/281.44 (step @p547 :rule eq_resolve :premises (@p26 @p546)) % 281.12/281.44 (step @p548 :rule eq_resolve :premises (@p547 @p541)) % 281.12/281.44 (step @p549 :rule trans :premises (@p548 @p540)) % 281.12/281.44 (step @p550 :rule ho_cong :premises (@p549 @p330)) % 281.12/281.44 (step @p551 :rule nary_cong :premises (@p550 @p526) :args (@t15)) % 281.12/281.44 (step @p552 :rule cong :premises (@p497 @p551) :args (@t97)) % 281.12/281.44 (step @p553 :rule cong :premises (@p552) :args (@t98)) % 281.12/281.44 (step @p554 :rule trans :premises (@p553 @p499)) % 281.12/281.44 (step @p555 :rule eq_resolve :premises (@p37 @p554)) % 281.12/281.44 (step @p556 :rule eq_resolve :premises (@p555 @p476)) % 281.12/281.44 (step @p557 :rule trans :premises (@p556 @p475)) % 281.12/281.44 (step @p558 :rule ho_cong :premises (@p557 @p330)) % 281.12/281.44 (step @p559 :rule ho_cong :premises (@p458 @p330 @p315)) % 281.12/281.44 (step @p560 :rule cong :premises (@p559) :args (@t138)) % 281.12/281.44 (step @p561 :rule ho_cong :premises (@p557 @p315)) % 281.12/281.44 (step @p562 :rule cong :premises (@p561) :args (@t431)) % 281.12/281.44 (step @p563 :rule nary_cong :premises (@p562 @p560 @p558) :args (@t432)) % 281.12/281.44 (step @p564 :rule cong :premises (@p563) :args (@t433)) % 281.12/281.44 (step @p565 :rule cong :premises (@p564) :args ((not @t433))) % 281.12/281.44 (step @p566 :rule trans :premises (@p565 @p436)) % 281.12/281.44 (step @p567 :rule aci_norm :args ((= (or @t431 (or @t138 @t16)) @t432))) % 281.12/281.44 (step @p568 :rule bool-impl-elim :args (@t5 @t16)) % 281.12/281.44 (step @p569 :rule refl :args (@t431)) % 281.12/281.44 (step @p570 :rule nary_cong :premises (@p569 @p568) :args ((or @t431 @t176))) % 281.12/281.44 (step @p571 :rule trans :premises (@p570 @p567)) % 281.12/281.44 (step @p572 :rule bool-impl-elim :args (@t175 @t176)) % 281.12/281.44 (step @p573 :rule trans :premises (@p572 @p571)) % 281.12/281.44 (step @p574 :rule cong :premises (@p573) :args (@t177)) % 281.12/281.44 (step @p575 :rule cong :premises (@p574) :args (@t178)) % 281.12/281.44 (step @p576 :rule trans :premises (@p575 @p566)) % 281.12/281.44 (step @p577 :rule eq_resolve :premises (@p166 @p576)) % 281.12/281.44 (step @p578 :rule skolemize :premises (@p577)) % 281.12/281.44 (step @p579 :rule cnf_or_neg :args (@t453 2)) % 281.12/281.44 (step @p580 :rule chain_m_resolution :premises (@p579 @p578) :args ((not @t448) @t454 @t455)) % 281.12/281.44 (step @p581 :rule bool-double-not-elim :args (@t451)) % 281.12/281.44 (step @p582 :rule refl :args (@t453)) % 281.12/281.44 (step @p583 :rule nary_cong :premises (@p582 @p581) :args ((or @t453 (not @t452)))) % 281.12/281.44 (step @p584 :rule cnf_or_neg :args (@t453 0)) % 281.12/281.44 (step @p585 :rule eq_resolve :premises (@p584 @p583)) % 281.12/281.44 (step @p586 :rule reordering :premises (@p585) :args ((or @t451 @t453))) % 281.12/281.44 (step @p587 :rule chain_m_resolution :premises (@p586 @p578) :args (@t451 @t454 @t455)) % 281.12/281.44 (step @p588 :rule instantiate :premises (@p587) :args ((@list @t248 @t241))) % 281.12/281.44 (step @p589 :rule cnf_or_pos :args (@t458)) % 281.12/281.44 (step @p590 :rule reordering :premises (@p589) :args ((or @t448 @t250 @t457 (not @t458)))) % 281.12/281.44 (step @p591 :rule instantiate :premises (@p587) :args ((@list @t248 @t239))) % 281.12/281.44 (step @p592 :rule cnf_or_pos :args (@t461)) % 281.12/281.44 (step @p593 :rule reordering :premises (@p592) :args ((or @t448 @t249 @t460 (not @t461)))) % 281.12/281.44 (step @p594 :rule bool-double-not-elim :args (@t449)) % 281.12/281.44 (step @p595 :rule nary_cong :premises (@p582 @p594) :args ((or @t453 (not @t450)))) % 281.12/281.44 (step @p596 :rule cnf_or_neg :args (@t453 1)) % 281.12/281.44 (step @p597 :rule eq_resolve :premises (@p596 @p595)) % 281.12/281.44 (step @p598 :rule reordering :premises (@p597) :args ((or @t449 @t453))) % 281.12/281.44 (step @p599 :rule chain_m_resolution :premises (@p598 @p578) :args (@t449 @t454 @t455)) % 281.12/281.44 (step @p600 :rule refl :args (@t243)) % 281.12/281.44 (step @p601 :rule eq-symm :args (@t239 @t241)) % 281.12/281.44 (step @p602 :rule refl :args (@t247)) % 281.12/281.44 (step @p603 :rule refl :args (@t459)) % 281.12/281.44 (step @p604 :rule refl :args (@t456)) % 281.12/281.44 (step @p605 :rule nary_cong :premises (@p604 @p603 @p602 @p601 @p600) :args (@t462)) % 281.12/281.44 (step @p606 :rule refl :args (@t449)) % 281.12/281.44 (step @p607 :rule cong :premises (@p606 @p605) :args ((=> @t449 @t462))) % 281.12/281.44 (assume-push @p731 @t449) % 281.12/281.44 (step @p609 :rule instantiate :premises (@p599) :args ((@list @t241 @t239))) % 281.12/281.44 (step-pop @p732 :rule scope :premises (@p609)) % 281.12/281.44 (step @p610 :rule process_scope :premises (@p732) :args (@t462)) % 281.12/281.44 (step @p612 :rule eq_resolve :premises (@p610 @p607)) % 281.12/281.44 (step @p613 :rule implies_elim :premises (@p612)) % 281.12/281.44 (step @p614 :rule chain_m_resolution :premises (@p613 @p599) :args (@t463 (@list false) (@list @t449))) % 281.12/281.44 (step @p615 :rule cnf_or_pos :args (@t463)) % 281.12/281.44 (step @p616 :rule reordering :premises (@p615) :args ((or @t247 @t244 @t243 @t456 @t459 (not @t463)))) % 281.12/281.44 (step @p617 :rule chain_m_resolution :premises (@p616 @p614 @p593 @p591 @p580 @p590 @p588 @p580 @p253 @p248 @p247 @p241 @p240) :args (@t251 (@list false true false true true false true false true false true true) (@list @t463 @t459 @t461 @t448 @t456 @t458 @t448 @t242 @t244 @t246 @t249 @t250))) % 281.12/281.44 (step @p618 :rule cnf_or_neg :args (@t453 3)) % 281.12/281.44 (step @p619 :rule chain_m_resolution :premises (@p618 @p578) :args ((not @t445) @t454 @t455)) % 281.12/281.44 (step @p620 :rule cnf_and_neg :args (@t445)) % 281.12/281.44 (step @p621 :rule chain_m_resolution :premises (@p620 @p619 @p617) :args ((not @t444) @t464 (@list @t445 @t251))) % 281.12/281.44 (step @p622 :rule cnf_or_neg :args (@t444 0)) % 281.12/281.44 (step @p623 :rule chain_m_resolution :premises (@p622 @p621) :args (@t465 @t454 @t466)) % 281.12/281.44 (step @p624 :rule nary_cong :premises (@p375 @p345) :args (@t467)) % 281.12/281.44 (step @p625 :rule cong :premises (@p624) :args ((forall @t6 @t467))) % 281.12/281.44 (step @p626 :rule ho_cong :premises (@p458 @p315 @p330)) % 281.12/281.44 (step @p627 :rule cong :premises (@p626) :args (@t4)) % 281.12/281.44 (step @p628 :rule nary_cong :premises (@p560 @p627) :args (@t468)) % 281.12/281.44 (step @p629 :rule cong :premises (@p628) :args ((forall @t6 @t468))) % 281.12/281.44 (step @p630 :rule trans :premises (@p629 @p625)) % 281.12/281.44 (step @p631 :rule bool-impl-elim :args (@t5 @t4)) % 281.12/281.44 (step @p632 :rule cong :premises (@p631) :args (@t7)) % 281.12/281.44 (step @p633 :rule trans :premises (@p632 @p630)) % 281.12/281.44 (step @p634 :rule eq_resolve :premises (@p1 @p633)) % 281.12/281.44 (step @p635 :rule instantiate :premises (@p634) :args ((@list @t434 @t439))) % 281.12/281.44 (step @p636 :rule cnf_or_neg :args (@t444 1)) % 281.12/281.44 (step @p637 :rule chain_m_resolution :premises (@p636 @p621) :args ((not @t440) @t454 @t466)) % 281.12/281.44 (step @p638 :rule cnf_or_pos :args (@t471)) % 281.12/281.44 (step @p639 :rule reordering :premises (@p638) :args ((or @t440 @t470 (not @t471)))) % 281.12/281.44 (step @p640 :rule chain_m_resolution :premises (@p639 @p637 @p635) :args (@t470 @t464 @t472)) % 281.12/281.44 (step @p641 :rule bool-double-not-elim :args (@t437)) % 281.12/281.44 (step @p642 :rule refl :args (@t444)) % 281.12/281.44 (step @p643 :rule nary_cong :premises (@p642 @p641) :args ((or @t444 (not @t438)))) % 281.12/281.44 (step @p644 :rule cnf_or_neg :args (@t444 2)) % 281.12/281.44 (step @p645 :rule eq_resolve :premises (@p644 @p643)) % 281.12/281.44 (step @p646 :rule reordering :premises (@p645) :args ((or @t437 @t444))) % 281.12/281.44 (step @p647 :rule chain_m_resolution :premises (@p646 @p621) :args (@t437 @t454 @t466)) % 281.12/281.44 (step @p648 :rule instantiate :premises (@p599) :args ((@list @t434 @t248))) % 281.12/281.44 (step @p649 :rule instantiate :premises (@p587) :args ((@list @t439 @t434))) % 281.12/281.44 (step @p650 :rule instantiate :premises (@p587) :args ((@list @t248 @t439))) % 281.12/281.44 (step @p651 :rule cnf_or_pos :args (@t475)) % 281.12/281.44 (step @p652 :rule reordering :premises (@p651) :args ((or @t448 @t443 @t474 (not @t475)))) % 281.12/281.44 (step @p653 :rule chain_m_resolution :premises (@p652 @p580 @p623 @p650) :args (@t474 @t476 (@list @t448 @t443 @t475))) % 281.12/281.44 (step @p654 :rule cnf_or_pos :args (@t479)) % 281.12/281.44 (step @p655 :rule reordering :premises (@p654) :args ((or @t440 @t473 @t478 (not @t479)))) % 281.12/281.44 (step @p656 :rule chain_m_resolution :premises (@p655 @p637 @p653 @p649) :args (@t478 @t476 (@list @t440 @t473 @t479))) % 281.12/281.44 (step @p657 :rule bool-double-not-elim :args (@t284)) % 281.12/281.44 (step @p658 :rule cong :premises (@p328) :args (@t480)) % 281.12/281.44 (step @p659 :rule trans :premises (@p658 @p657)) % 281.12/281.44 (step @p660 :rule nary_cong :premises (@p375 @p659 @p337) :args (@t481)) % 281.12/281.44 (step @p661 :rule cong :premises (@p660) :args ((forall @t79 @t481))) % 281.12/281.44 (step @p662 :rule ho_cong :premises (@p458 @p323 @p330)) % 281.12/281.44 (step @p663 :rule cong :premises (@p662) :args (@t397)) % 281.12/281.44 (step @p664 :rule cong :premises (@p460) :args (@t86)) % 281.12/281.44 (step @p665 :rule nary_cong :premises (@p560 @p664 @p663) :args (@t482)) % 281.12/281.44 (step @p666 :rule cong :premises (@p665) :args ((forall @t79 @t482))) % 281.12/281.44 (step @p667 :rule trans :premises (@p666 @p661)) % 281.12/281.44 (step @p668 :rule aci_norm :args ((= (or @t138 (or @t86 @t397)) @t482))) % 281.12/281.44 (step @p669 :rule bool-and-de-morgan :args (@t85 @t27 true)) % 281.12/281.44 (step @p670 :rule refl :args (@t138)) % 281.12/281.44 (step @p671 :rule nary_cong :premises (@p670 @p669) :args ((or @t138 (not (and @t85 @t27))))) % 281.12/281.44 (step @p672 :rule bool-and-de-morgan :args (@t5 @t85 (and @t27))) % 281.12/281.44 (step @p673 :rule trans :premises (@p672 @p671)) % 281.12/281.44 (step @p674 :rule trans :premises (@p673 @p668)) % 281.12/281.44 (step @p675 :rule cong :premises (@p674) :args (@t182)) % 281.12/281.44 (step @p676 :rule trans :premises (@p675 @p667)) % 281.12/281.44 (step @p677 :rule eq_resolve :premises (@p184 @p676)) % 281.12/281.44 (step @p678 :rule instantiate :premises (@p677) :args ((@list @t434 @t439 @t248))) % 281.12/281.44 (step @p679 :rule cnf_or_pos :args (@t484)) % 281.12/281.44 (step @p680 :rule reordering :premises (@p679) :args ((or @t443 @t440 @t483 (not @t484)))) % 281.12/281.44 (step @p681 :rule chain_m_resolution :premises (@p680 @p623 @p637 @p678) :args (@t483 @t476 (@list @t443 @t440 @t484))) % 281.12/281.44 (step @p682 :rule cnf_or_pos :args (@t487)) % 281.12/281.44 (step @p683 :rule reordering :premises (@p682) :args ((or @t448 @t438 @t486 @t485 @t477 (not @t487)))) % 281.12/281.44 (step @p684 :rule chain_m_resolution :premises (@p683 @p580 @p647 @p681 @p656 @p648) :args (@t486 @t488 @t489)) % 281.12/281.44 (step @p685 :rule refl :args (@t490)) % 281.12/281.44 (step @p686 :rule refl :args (@t491)) % 281.12/281.44 (step @p687 :rule bool-double-not-elim :args (@t443)) % 281.12/281.44 (step @p688 :rule refl :args (@t438)) % 281.12/281.44 (step @p689 :rule nary_cong :premises (@p688 @p687 @p686 @p685) :args ((or @t438 (not @t465) @t491 @t490))) % 281.12/281.44 (assume-push @p733 @t494) % 281.12/281.44 (assume-push @p734 @t493) % 281.12/281.44 (step @p692 :rule evaluate :args ((= false true))) % 281.12/281.44 (step @p693 :rule refl :args (@t441)) % 281.12/281.44 (step @p694 :rule cong :premises (@p647 @p693) :args (@t442)) % 281.12/281.44 (step @p695 :rule symm :premises (@p684)) % 281.12/281.44 (step @p696 :rule cong :premises (@p695 @p693) :args (@t469)) % 281.12/281.44 (step @p697 :rule chain_m_resolution :premises (@p639 @p637 @p635) :args (@t470 @t464 @t472)) % 281.12/281.44 (step @p698 :rule chain_m_resolution :premises (@p683 @p580 @p647 @p681 @p656 @p648) :args (@t486 @t488 @t489)) % 281.12/281.44 (step @p699 :rule symm :premises (@p647)) % 281.12/281.44 (step @p700 :rule trans :premises (@p699 @p698 @p697 @p696 @p694)) % 281.12/281.44 (step @p701 :rule true_intro :premises (@p700)) % 281.12/281.44 (step @p702 :rule false_intro :premises (@p623)) % 281.12/281.44 (step @p703 :rule cong :premises (@p699 @p693) :args (@t492)) % 281.12/281.44 (step @p704 :rule cong :premises (@p699 @p703) :args (@t493)) % 281.12/281.44 (step @p705 :rule trans :premises (@p704 @p702)) % 281.12/281.44 (step @p706 :rule symm :premises (@p705)) % 281.12/281.44 (step @p707 :rule trans :premises (@p706 @p701)) % 281.12/281.44 (step @p708 false :rule eq_resolve :premises (@p707 @p692)) % 281.12/281.44 (step-pop @p735 :rule scope :premises (@p708)) % 281.12/281.44 (step-pop @p736 :rule scope :premises (@p735)) % 281.12/281.44 (step @p709 :rule process_scope :premises (@p736) :args (false)) % 281.12/281.44 (assume-push @p737 @t437) % 281.12/281.44 (assume-push @p738 @t465) % 281.12/281.44 (assume-push @p739 @t470) % 281.12/281.44 (assume-push @p740 @t486) % 281.12/281.44 (step @p693 :rule refl :args (@t441)) % 281.12/281.44 (step @p694 :rule cong :premises (@p647 @p693) :args (@t442)) % 281.12/281.44 (step @p695 :rule symm :premises (@p684)) % 281.12/281.44 (step @p696 :rule cong :premises (@p695 @p693) :args (@t469)) % 281.12/281.44 (step @p699 :rule symm :premises (@p647)) % 281.12/281.44 (step @p716 :rule trans :premises (@p699 @p684 @p640 @p696 @p694)) % 281.12/281.44 (step @p702 :rule false_intro :premises (@p623)) % 281.12/281.44 (step @p703 :rule cong :premises (@p699 @p693) :args (@t492)) % 281.12/281.44 (step @p704 :rule cong :premises (@p699 @p703) :args (@t493)) % 281.12/281.44 (step @p717 :rule trans :premises (@p704 @p702)) % 281.12/281.44 (step @p718 :rule false_elim :premises (@p717)) % 281.12/281.44 (step @p719 :rule and_intro :premises (@p718 @p716)) % 281.12/281.44 (step-pop @p741 :rule scope :premises (@p719)) % 281.12/281.44 (step-pop @p742 :rule scope :premises (@p741)) % 281.12/281.44 (step-pop @p743 :rule scope :premises (@p742)) % 281.12/281.44 (step-pop @p744 :rule scope :premises (@p743)) % 281.12/281.44 (step @p720 :rule process_scope :premises (@p744) :args (@t495)) % 281.12/281.44 (step @p725 :rule implies_elim :premises (@p720)) % 281.12/281.44 (step @p726 :rule resolution :premises (@p725 @p709) :args (true @t495)) % 281.12/281.44 (step @p727 :rule not_and :premises (@p726)) % 281.12/281.44 (step @p728 :rule eq_resolve :premises (@p727 @p689)) % 281.12/281.44 (step @p729 :rule reordering :premises (@p728) :args ((or @t443 @t438 @t491 @t490))) % 281.12/281.44 (step @p730 false :rule chain_m_resolution :premises (@p729 @p684 @p647 @p640 @p623) :args (false (@list false false false true) (@list @t486 @t437 @t470 @t443))) % 281.12/281.44 ) % 281.12/281.44 % SZS output end Proof % 281.12/281.44 % cvc5 exiting %------------------------------------------------------------------------------