%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU236+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 : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:04 AM UTC 2026 % Result : Theorem 34.13s 34.85s % Output : Proof 34.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU236+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n027.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:45:51 EDT 2026 % 0.15/0.34 % CPUTime : % 0.38/0.55 %----Proving TF0_NAR, FOF, or CNF % 34.13/34.85 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.13/34.85 --- Run --no-e-matching --full-saturate-quant at 6... % 34.13/34.85 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.13/34.85 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.13/34.85 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.13/34.85 % SZS status Theorem % 34.13/34.85 % SZS output start Proof % 34.13/34.85 ( % 34.13/34.85 (declare-sort $$unsorted 0) % 34.13/34.85 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.relation (-> $$unsorted Bool)) % 34.13/34.85 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 34.13/34.85 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 34.13/34.85 (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 34.13/34.85 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 34.13/34.85 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 34.13/34.85 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.empty (-> $$unsorted Bool)) % 34.13/34.85 (declare-const tptp.function (-> $$unsorted Bool)) % 34.13/34.85 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 34.13/34.85 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 34.13/34.85 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 34.13/34.85 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 34.13/34.85 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.empty_set $$unsorted) % 34.13/34.85 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.unordered_triple (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 34.13/34.85 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 34.13/34.85 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 34.13/34.85 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 34.13/34.85 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 34.13/34.85 (define @t1 () (@var "A" $$unsorted)) % 34.13/34.85 (define @t2 () (@var "B" $$unsorted)) % 34.13/34.85 (define @t3 () (tptp.in @t2 @t1)) % 34.13/34.85 (define @t4 () (not @t3)) % 34.13/34.85 (define @t5 () (tptp.in @t1 @t2)) % 34.13/34.85 (define @t6 () (@list @t1 @t2)) % 34.13/34.85 (define @t7 () (tptp.proper_subset @t2 @t1)) % 34.13/34.85 (define @t8 () (tptp.proper_subset @t1 @t2)) % 34.13/34.85 (define @t9 () (tptp.function @t1)) % 34.13/34.85 (define @t10 () (tptp.empty @t1)) % 34.13/34.85 (define @t11 () (@list @t1)) % 34.13/34.85 (define @t12 () (tptp.epsilon_connected @t1)) % 34.13/34.85 (define @t13 () (tptp.epsilon_transitive @t1)) % 34.13/34.85 (define @t14 () (and @t13 @t12)) % 34.13/34.85 (define @t15 () (tptp.ordinal @t1)) % 34.13/34.85 (define @t16 () (forall @t11 (=> @t15 @t14))) % 34.13/34.85 (define @t17 () (tptp.relation @t1)) % 34.13/34.85 (define @t18 () (tptp.one_to_one @t1)) % 34.13/34.85 (define @t19 () (and @t17 @t9 @t18)) % 34.13/34.85 (define @t20 () (and @t17 @t10 @t9)) % 34.13/34.85 (define @t21 () (and @t13 @t12 @t15)) % 34.13/34.85 (define @t22 () (tptp.unordered_pair @t1 @t2)) % 34.13/34.85 (define @t23 () (tptp.set_union2 @t2 @t1)) % 34.13/34.85 (define @t24 () (tptp.set_union2 @t1 @t2)) % 34.13/34.85 (define @t25 () (tptp.set_intersection2 @t1 @t2)) % 34.13/34.85 (define @t26 () (tptp.ordinal_subset @t1 @t2)) % 34.13/34.85 (define @t27 () (tptp.ordinal @t2)) % 34.13/34.85 (define @t28 () (and @t15 @t27)) % 34.13/34.85 (define @t29 () (@var "D" $$unsorted)) % 34.13/34.85 (define @t30 () (@var "C" $$unsorted)) % 34.13/34.85 (define @t31 () (tptp.in @t30 @t1)) % 34.13/34.85 (define @t32 () (tptp.ordered_pair @t30 @t29)) % 34.13/34.85 (define @t33 () (tptp.in @t32 @t2)) % 34.13/34.85 (define @t34 () (@list @t30 @t29)) % 34.13/34.85 (define @t35 () (tptp.identity_relation @t1)) % 34.13/34.85 (define @t36 () (= @t2 @t35)) % 34.13/34.85 (define @t37 () (tptp.relation @t2)) % 34.13/34.85 (define @t38 () (tptp.subset @t2 @t1)) % 34.13/34.85 (define @t39 () (tptp.subset @t1 @t2)) % 34.13/34.85 (define @t40 () (= @t1 @t2)) % 34.13/34.85 (define @t41 () (@var "E" $$unsorted)) % 34.13/34.85 (define @t42 () (tptp.ordered_pair @t29 @t41)) % 34.13/34.85 (define @t43 () (tptp.in @t42 @t1)) % 34.13/34.85 (define @t44 () (tptp.in @t29 @t2)) % 34.13/34.85 (define @t45 () (tptp.in @t42 @t30)) % 34.13/34.85 (define @t46 () (@list @t29 @t41)) % 34.13/34.85 (define @t47 () (tptp.relation_dom_restriction @t1 @t2)) % 34.13/34.85 (define @t48 () (tptp.relation @t30)) % 34.13/34.85 (define @t49 () (@list @t2 @t30)) % 34.13/34.85 (define @t50 () (tptp.in @t41 @t2)) % 34.13/34.85 (define @t51 () (tptp.relation_dom @t1)) % 34.13/34.85 (define @t52 () (@list @t41)) % 34.13/34.85 (define @t53 () (tptp.in @t29 @t30)) % 34.13/34.85 (define @t54 () (@list @t29)) % 34.13/34.85 (define @t55 () (= @t30 (tptp.relation_image @t1 @t2))) % 34.13/34.85 (define @t56 () (and @t17 @t9)) % 34.13/34.85 (define @t57 () (tptp.in @t41 @t1)) % 34.13/34.85 (define @t58 () (tptp.relation_rng_restriction @t1 @t2)) % 34.13/34.85 (define @t59 () (@list @t30)) % 34.13/34.85 (define @t60 () (tptp.apply @t1 @t29)) % 34.13/34.85 (define @t61 () (tptp.in @t29 @t51)) % 34.13/34.85 (define @t62 () (= @t30 (tptp.relation_inverse_image @t1 @t2))) % 34.13/34.85 (define @t63 () (tptp.in @t41 @t29)) % 34.13/34.85 (define @t64 () (@list @t1 @t2 @t30 @t29)) % 34.13/34.85 (define @t65 () (tptp.singleton @t1)) % 34.13/34.85 (define @t66 () (tptp.succ @t1)) % 34.13/34.85 (define @t67 () (@list @t2)) % 34.13/34.85 (define @t68 () (= @t2 tptp.empty_set)) % 34.13/34.85 (define @t69 () (= @t2 (tptp.set_meet @t1))) % 34.13/34.85 (define @t70 () (= @t1 tptp.empty_set)) % 34.13/34.85 (define @t71 () (tptp.in @t30 @t29)) % 34.13/34.85 (define @t72 () (tptp.in @t29 @t1)) % 34.13/34.85 (define @t73 () (tptp.in @t30 @t2)) % 34.13/34.85 (define @t74 () (not @t70)) % 34.13/34.85 (define @t75 () (tptp.powerset @t1)) % 34.13/34.85 (define @t76 () (forall @t67 (=> @t3 @t38))) % 34.13/34.85 (define @t77 () (= @t13 @t76)) % 34.13/34.85 (define @t78 () (forall @t11 @t77)) % 34.13/34.85 (define @t79 () (tptp.in @t32 @t1)) % 34.13/34.85 (define @t80 () (tptp.empty @t2)) % 34.13/34.85 (define @t81 () (tptp.element @t2 @t1)) % 34.13/34.85 (define @t82 () (not @t10)) % 34.13/34.85 (define @t83 () (@list @t1 @t2 @t30)) % 34.13/34.85 (define @t84 () (@var "F" $$unsorted)) % 34.13/34.85 (define @t85 () (tptp.cartesian_product2 @t1 @t2)) % 34.13/34.85 (define @t86 () (not @t73)) % 34.13/34.85 (define @t87 () (= @t2 @t30)) % 34.13/34.85 (define @t88 () (tptp.in @t2 @t30)) % 34.13/34.85 (define @t89 () (forall @t59 (=> @t31 @t73))) % 34.13/34.85 (define @t90 () (tptp.apply @t1 @t2)) % 34.13/34.85 (define @t91 () (= @t30 @t90)) % 34.13/34.85 (define @t92 () (tptp.in @t2 @t51)) % 34.13/34.85 (define @t93 () (tptp.in (tptp.ordered_pair @t2 @t30) @t1)) % 34.13/34.85 (define @t94 () (tptp.cast_to_subset @t1)) % 34.13/34.85 (define @t95 () (tptp.set_difference @t1 @t2)) % 34.13/34.85 (define @t96 () (and @t61 (= @t30 @t60))) % 34.13/34.85 (define @t97 () (tptp.relation_rng @t1)) % 34.13/34.85 (define @t98 () (= @t2 @t97)) % 34.13/34.85 (define @t99 () (tptp.in (tptp.ordered_pair @t29 @t30) @t1)) % 34.13/34.85 (define @t100 () (tptp.subset_complement @t1 @t2)) % 34.13/34.85 (define @t101 () (tptp.element @t2 @t75)) % 34.13/34.85 (define @t102 () (tptp.ordered_pair @t1 @t2)) % 34.13/34.85 (define @t103 () (tptp.relation_inverse @t1)) % 34.13/34.85 (define @t104 () (tptp.disjoint @t1 @t2)) % 34.13/34.85 (define @t105 () (tptp.relation_composition @t1 @t2)) % 34.13/34.85 (define @t106 () (tptp.complements_of_subsets @t1 @t2)) % 34.13/34.85 (define @t107 () (tptp.powerset @t75)) % 34.13/34.85 (define @t108 () (tptp.element @t2 @t107)) % 34.13/34.85 (define @t109 () (not @t40)) % 34.13/34.85 (define @t110 () (tptp.function_inverse @t1)) % 34.13/34.85 (define @t111 () (tptp.relation @t103)) % 34.13/34.85 (define @t112 () (tptp.relation @t105)) % 34.13/34.85 (define @t113 () (and @t17 @t37)) % 34.13/34.85 (define @t114 () (tptp.union_of_subsets @t1 @t2)) % 34.13/34.85 (define @t115 () (tptp.relation @t35)) % 34.13/34.85 (define @t116 () (tptp.meet_of_subsets @t1 @t2)) % 34.13/34.85 (define @t117 () (tptp.subset_difference @t1 @t2 @t30)) % 34.13/34.85 (define @t118 () (tptp.element @t30 @t75)) % 34.13/34.85 (define @t119 () (and @t101 @t118)) % 34.13/34.85 (define @t120 () (tptp.relation @t47)) % 34.13/34.85 (define @t121 () (tptp.relation_composition @t2 @t1)) % 34.13/34.85 (define @t122 () (and @t10 @t37)) % 34.13/34.85 (define @t123 () (tptp.relation_empty_yielding tptp.empty_set)) % 34.13/34.85 (define @t124 () (tptp.relation tptp.empty_set)) % 34.13/34.85 (define @t125 () (tptp.empty tptp.empty_set)) % 34.13/34.85 (define @t126 () (tptp.relation_empty_yielding @t1)) % 34.13/34.85 (define @t127 () (and @t17 @t126)) % 34.13/34.85 (define @t128 () (tptp.function @t2)) % 34.13/34.85 (define @t129 () (not (tptp.empty @t66))) % 34.13/34.85 (define @t130 () (and @t129 (tptp.epsilon_transitive @t66) (tptp.epsilon_connected @t66) (tptp.ordinal @t66))) % 34.13/34.85 (define @t131 () (forall @t11 (=> @t15 @t130))) % 34.13/34.85 (define @t132 () (not @t80)) % 34.13/34.85 (define @t133 () (tptp.empty @t51)) % 34.13/34.85 (define @t134 () (and @t82 @t17)) % 34.13/34.85 (define @t135 () (tptp.empty @t97)) % 34.13/34.85 (define @t136 () (tptp.disjoint @t65 @t2)) % 34.13/34.85 (define @t137 () (not @t5)) % 34.13/34.85 (define @t138 () (tptp.subset @t65 @t2)) % 34.13/34.85 (define @t139 () (forall @t6 (= @t138 @t5))) % 34.13/34.85 (define @t140 () (forall @t59 (=> @t73 @t31))) % 34.13/34.85 (define @t141 () (=> @t101 @t140)) % 34.13/34.85 (define @t142 () (forall @t6 @t141)) % 34.13/34.85 (define @t143 () (tptp.singleton @t2)) % 34.13/34.85 (define @t144 () (tptp.union @t2)) % 34.13/34.85 (define @t145 () (tptp.in @t1 @t30)) % 34.13/34.85 (define @t146 () (tptp.element @t1 (tptp.powerset @t2))) % 34.13/34.85 (define @t147 () (tptp.relation_dom @t30)) % 34.13/34.85 (define @t148 () (tptp.relation_dom_restriction @t30 @t1)) % 34.13/34.85 (define @t149 () (tptp.in @t2 (tptp.relation_dom @t148))) % 34.13/34.85 (define @t150 () (and @t48 (tptp.function @t30))) % 34.13/34.85 (define @t151 () (tptp.set_difference @t2 @t30)) % 34.13/34.85 (define @t152 () (= @t26 @t39)) % 34.13/34.85 (define @t153 () (forall @t6 (=> @t28 @t152))) % 34.13/34.85 (define @t154 () (= @t1 @t30)) % 34.13/34.85 (define @t155 () (tptp.relation_rng @t30)) % 34.13/34.85 (define @t156 () (tptp.relation_rng @t58)) % 34.13/34.85 (define @t157 () (tptp.relation_rng @t2)) % 34.13/34.85 (define @t158 () (tptp.cartesian_product2 @t1 @t30)) % 34.13/34.85 (define @t159 () (tptp.subset @t30 @t2)) % 34.13/34.85 (define @t160 () (forall @t59 (not (and @t159 (not (tptp.are_equipotent @t30 @t2)) @t86)))) % 34.13/34.85 (define @t161 () (tptp.powerset @t30)) % 34.13/34.85 (define @t162 () (forall @t34 (=> (and @t73 (tptp.subset @t29 @t30)) @t44))) % 34.13/34.85 (define @t163 () (tptp.relation_dom_restriction @t30 @t2)) % 34.13/34.85 (define @t164 () (tptp.relation_image @t2 @t1)) % 34.13/34.85 (define @t165 () (tptp.relation_inverse_image @t2 @t1)) % 34.13/34.85 (define @t166 () (tptp.relation_image @t2 @t165)) % 34.13/34.85 (define @t167 () (and @t37 @t128)) % 34.13/34.85 (define @t168 () (tptp.relation_dom @t2)) % 34.13/34.85 (define @t169 () (tptp.set_intersection2 @t168 @t1)) % 34.13/34.85 (define @t170 () (tptp.subset @t1 @t157)) % 34.13/34.85 (define @t171 () (tptp.relation_rng @t105)) % 34.13/34.85 (define @t172 () (tptp.relation_inverse_image @t30 @t2)) % 34.13/34.85 (define @t173 () (tptp.set_intersection2 @t2 @t30)) % 34.13/34.85 (define @t174 () (tptp.subset @t1 @t30)) % 34.13/34.85 (define @t175 () (tptp.element @t1 @t2)) % 34.13/34.85 (define @t176 () (tptp.in @t1 @t147)) % 34.13/34.85 (define @t177 () (tptp.in @t102 @t30)) % 34.13/34.85 (define @t178 () (tptp.apply @t30 @t1)) % 34.13/34.85 (define @t179 () (tptp.relation_composition @t30 @t2)) % 34.13/34.85 (define @t180 () (tptp.in @t1 (tptp.relation_dom @t179))) % 34.13/34.85 (define @t181 () (tptp.relation_field @t30)) % 34.13/34.85 (define @t182 () (= @t5 (tptp.ordinal_subset @t66 @t2))) % 34.13/34.85 (define @t183 () (forall @t67 (=> @t27 @t182))) % 34.13/34.85 (define @t184 () (=> @t15 @t183)) % 34.13/34.85 (define @t185 () (forall @t11 @t184)) % 34.13/34.85 (define @t186 () (not @t185)) % 34.13/34.85 (define @t187 () (tptp.apply @t2 @t30)) % 34.13/34.85 (define @t188 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 34.13/34.85 (define @t189 () (forall @t6 (= @t146 @t39))) % 34.13/34.85 (define @t190 () (and @t31 @t73)) % 34.13/34.85 (define @t191 () (not @t104)) % 34.13/34.85 (define @t192 () (tptp.subset_complement @t1 @t30)) % 34.13/34.85 (define @t193 () (tptp.disjoint @t2 @t30)) % 34.13/34.85 (define @t194 () (tptp.relation_dom @t105)) % 34.13/34.85 (define @t195 () (not @t68)) % 34.13/34.85 (define @t196 () (tptp.element @t2 @t161)) % 34.13/34.85 (define @t197 () (tptp.in @t30 @t25)) % 34.13/34.85 (define @t198 () (and (tptp.in @t30 @t97) (= @t29 @t187))) % 34.13/34.85 (define @t199 () (tptp.function_inverse @t2)) % 34.13/34.85 (define @t200 () (= @t97 tptp.empty_set)) % 34.13/34.85 (define @t201 () (= @t51 tptp.empty_set)) % 34.13/34.85 (define @t202 () (= (tptp.apply @t148 @t2) (tptp.apply @t30 @t2))) % 34.13/34.85 (define @t203 () (tptp.relation_dom_restriction @t2 @t1)) % 34.13/34.85 (define @t204 () (tptp.subset (tptp.set_union2 @t1 @t30) @t2)) % 34.13/34.85 (define @t205 () (and @t39 @t159)) % 34.13/34.85 (define @t206 () (forall @t83 (=> @t205 @t204))) % 34.13/34.85 (define @t207 () (= @t65 (tptp.unordered_pair @t2 @t30))) % 34.13/34.85 (define @t208 () (@var "BOUND_VARIABLE_9792" $$unsorted)) % 34.13/34.85 (define @t209 () (tptp.in @t208 @t1)) % 34.13/34.85 (define @t210 () (not (tptp.in @t208 @t2))) % 34.13/34.85 (define @t211 () (not @t101)) % 34.13/34.85 (define @t212 () (or @t211 @t210 @t209)) % 34.13/34.85 (define @t213 () (or @t210 @t209)) % 34.13/34.85 (define @t214 () (or @t211 @t213)) % 34.13/34.85 (define @t215 () (@list @t1 @t2 @t208)) % 34.13/34.85 (define @t216 () (forall @t215 @t214)) % 34.13/34.85 (define @t217 () (@list @t208)) % 34.13/34.85 (define @t218 () (forall @t217 @t214)) % 34.13/34.85 (define @t219 () (forall @t217 @t213)) % 34.13/34.85 (define @t220 () (or @t211 @t219)) % 34.13/34.85 (define @t221 () (forall @t59 (or @t86 @t31))) % 34.13/34.85 (define @t222 () (@var "BOUND_VARIABLE_10334" $$unsorted)) % 34.13/34.85 (define @t223 () (= (tptp.in @t1 @t222) (tptp.ordinal_subset @t66 @t222))) % 34.13/34.85 (define @t224 () (not (tptp.ordinal @t222))) % 34.13/34.85 (define @t225 () (not @t15)) % 34.13/34.85 (define @t226 () (or @t225 @t224 @t223)) % 34.13/34.85 (define @t227 () (@list @t1 @t222)) % 34.13/34.85 (define @t228 () (forall @t227 @t226)) % 34.13/34.85 (define @t229 () (@quantifiers_skolemize @t228 1)) % 34.13/34.85 (define @t230 () (@quantifiers_skolemize @t228 0)) % 34.13/34.85 (define @t231 () (tptp.succ @t230)) % 34.13/34.85 (define @t232 () (@list @t231 @t229)) % 34.13/34.85 (define @t233 () (not @t27)) % 34.13/34.85 (define @t234 () (@list @t230)) % 34.13/34.85 (define @t235 () (or @t224 @t223)) % 34.13/34.85 (define @t236 () (or @t225 @t235)) % 34.13/34.85 (define @t237 () (forall @t227 @t236)) % 34.13/34.85 (define @t238 () (@list @t222)) % 34.13/34.85 (define @t239 () (forall @t238 @t236)) % 34.13/34.85 (define @t240 () (forall @t238 @t235)) % 34.13/34.85 (define @t241 () (or @t225 @t240)) % 34.13/34.85 (define @t242 () (forall @t67 (or @t233 @t182))) % 34.13/34.85 (define @t243 () (tptp.ordinal @t230)) % 34.13/34.85 (define @t244 () (tptp.ordinal_subset @t231 @t229)) % 34.13/34.85 (define @t245 () (tptp.in @t230 @t229)) % 34.13/34.85 (define @t246 () (= @t245 @t244)) % 34.13/34.85 (define @t247 () (tptp.ordinal @t229)) % 34.13/34.85 (define @t248 () (not @t247)) % 34.13/34.85 (define @t249 () (not @t243)) % 34.13/34.85 (define @t250 () (or @t249 @t248 @t246)) % 34.13/34.85 (define @t251 () (@list true)) % 34.13/34.85 (define @t252 () (@list @t250)) % 34.13/34.85 (define @t253 () (tptp.ordinal @t231)) % 34.13/34.85 (define @t254 () (and (not (tptp.empty @t231)) (tptp.epsilon_transitive @t231) (tptp.epsilon_connected @t231) @t253)) % 34.13/34.85 (define @t255 () (or @t249 @t254)) % 34.13/34.85 (define @t256 () (@list false false)) % 34.13/34.85 (define @t257 () (@list false)) % 34.13/34.85 (define @t258 () (tptp.subset @t231 @t229)) % 34.13/34.85 (define @t259 () (= @t244 @t258)) % 34.13/34.85 (define @t260 () (not @t253)) % 34.13/34.85 (define @t261 () (or @t260 @t248 @t259)) % 34.13/34.85 (define @t262 () (tptp.singleton @t230)) % 34.13/34.85 (define @t263 () (tptp.subset @t262 @t229)) % 34.13/34.85 (define @t264 () (= @t245 @t263)) % 34.13/34.85 (define @t265 () (not @t245)) % 34.13/34.85 (define @t266 () (@list @t229)) % 34.13/34.85 (define @t267 () (tptp.epsilon_transitive @t229)) % 34.13/34.85 (define @t268 () (and @t267 (tptp.epsilon_connected @t229))) % 34.13/34.85 (define @t269 () (or @t248 @t268)) % 34.13/34.85 (define @t270 () (forall @t67 (or (not (tptp.in @t2 @t229)) (tptp.subset @t2 @t229)))) % 34.13/34.85 (define @t271 () (= @t267 @t270)) % 34.13/34.85 (define @t272 () (tptp.subset @t230 @t229)) % 34.13/34.85 (define @t273 () (or @t265 @t272)) % 34.13/34.85 (define @t274 () (not @t259)) % 34.13/34.85 (define @t275 () (not @t258)) % 34.13/34.85 (define @t276 () (not @t159)) % 34.13/34.85 (define @t277 () (not @t39)) % 34.13/34.85 (define @t278 () (tptp.set_union2 @t230 @t262)) % 34.13/34.85 (define @t279 () (tptp.subset @t278 @t229)) % 34.13/34.85 (define @t280 () (not @t263)) % 34.13/34.85 (define @t281 () (not @t272)) % 34.13/34.85 (define @t282 () (or @t281 @t280 @t279)) % 34.13/34.85 (define @t283 () (not @t279)) % 34.13/34.85 (define @t284 () (= @t231 @t278)) % 34.13/34.85 (define @t285 () (not @t284)) % 34.13/34.85 (define @t286 () (and @t284 @t275)) % 34.13/34.85 (define @t287 () (tptp.element @t231 (tptp.powerset @t229))) % 34.13/34.85 (define @t288 () (= @t258 @t287)) % 34.13/34.85 (define @t289 () (tptp.in @t230 @t231)) % 34.13/34.85 (define @t290 () (not @t289)) % 34.13/34.85 (define @t291 () (not @t287)) % 34.13/34.85 (define @t292 () (or @t291 @t290 @t245)) % 34.13/34.85 (define @t293 () (not @t292)) % 34.13/34.85 (define @t294 () (forall @t215 @t212)) % 34.13/34.85 (assume @p1 (forall @t6 (=> @t5 @t4))) % 34.13/34.85 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 34.13/34.85 (assume @p3 (forall @t11 (=> @t10 @t9))) % 34.13/34.85 (assume @p4 @t16) % 34.13/34.85 (assume @p5 (forall @t11 (=> @t10 @t17))) % 34.13/34.85 (assume @p6 (forall @t11 (=> @t20 @t19))) % 34.13/34.85 (assume @p7 (forall @t11 (=> @t14 @t15))) % 34.13/34.85 (assume @p8 (forall @t11 (=> @t10 @t21))) % 34.13/34.85 (assume @p9 (forall @t6 (= @t22 (tptp.unordered_pair @t2 @t1)))) % 34.13/34.85 (assume @p10 (forall @t6 (= @t24 @t23))) % 34.13/34.85 (assume @p11 (forall @t6 (= @t25 (tptp.set_intersection2 @t2 @t1)))) % 34.13/34.85 (assume @p12 (forall @t6 (=> @t28 (or @t26 (tptp.ordinal_subset @t2 @t1))))) % 34.13/34.85 (assume @p13 (forall @t6 (=> @t37 (= @t36 (forall @t34 (= @t33 (and @t31 (= @t30 @t29)))))))) % 34.13/34.85 (assume @p14 (forall @t6 (= @t40 (and @t39 @t38)))) % 34.13/34.85 (assume @p15 (forall @t11 (=> @t17 (forall @t49 (=> @t48 (= (= @t30 @t47) (forall @t46 (= @t45 (and @t44 @t43))))))))) % 34.13/34.85 (assume @p16 (forall @t11 (=> @t56 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in @t41 @t51) @t50 (= @t29 (tptp.apply @t1 @t41))))))))))) % 34.13/34.85 (assume @p17 (forall @t6 (=> @t37 (forall @t59 (=> @t48 (= (= @t30 @t58) (forall @t46 (= @t45 (and @t57 (tptp.in @t42 @t2)))))))))) % 34.13/34.85 (assume @p18 (forall @t11 (=> @t56 (forall @t49 (= @t62 (forall @t54 (= @t53 (and @t61 (tptp.in @t60 @t2))))))))) % 34.13/34.85 (assume @p19 (forall @t11 (=> @t17 (forall @t49 (= @t55 (forall @t54 (= @t53 (exists @t52 (and (tptp.in (tptp.ordered_pair @t41 @t29) @t1) @t50))))))))) % 34.13/34.85 (assume @p20 (forall @t11 (=> @t17 (forall @t49 (= @t62 (forall @t54 (= @t53 (exists @t52 (and @t43 @t50))))))))) % 34.13/34.85 (assume @p21 (forall @t64 (= (= @t29 (tptp.unordered_triple @t1 @t2 @t30)) (forall @t52 (= @t63 (not (and (not (= @t41 @t1)) (not (= @t41 @t2)) (not (= @t41 @t30))))))))) % 34.13/34.85 (assume @p22 (forall @t11 (= @t66 (tptp.set_union2 @t1 @t65)))) % 34.13/34.85 (assume @p23 (forall @t11 (= @t17 (forall @t67 (not (and @t3 (forall @t34 (not (= @t2 @t32))))))))) % 34.13/34.85 (assume @p24 (forall @t6 (and (=> @t74 (= @t69 (forall @t59 (= @t73 (forall @t54 (=> @t72 @t71)))))) (=> @t70 (= @t69 @t68))))) % 34.13/34.85 (assume @p25 (forall @t6 (= (= @t2 @t65) (forall @t59 (= @t73 (= @t30 @t1)))))) % 34.13/34.85 (assume @p26 (forall @t11 (= @t70 (forall @t67 @t4)))) % 34.13/34.85 (assume @p27 (forall @t6 (= (= @t2 @t75) (forall @t59 (= @t73 (tptp.subset @t30 @t1)))))) % 34.13/34.85 (assume @p28 @t78) % 34.13/34.85 (assume @p29 (forall @t11 (=> @t17 (forall @t67 (=> @t37 (= @t40 (forall @t34 (= @t79 @t33)))))))) % 34.13/34.85 (assume @p30 (forall @t6 (and (=> @t82 (= @t81 @t3)) (=> @t10 (= @t81 @t80))))) % 34.13/34.85 (assume @p31 (forall @t83 (= (= @t30 @t22) (forall @t54 (= @t53 (or (= @t29 @t1) (= @t29 @t2))))))) % 34.13/34.85 (assume @p32 (forall @t83 (= (= @t30 @t24) (forall @t54 (= @t53 (or @t72 @t44)))))) % 34.13/34.85 (assume @p33 (forall @t83 (= (= @t30 @t85) (forall @t54 (= @t53 (exists (@list @t41 @t84) (and @t57 (tptp.in @t84 @t2) (= @t29 (tptp.ordered_pair @t41 @t84))))))))) % 34.13/34.85 (assume @p34 (forall @t11 (= @t12 (forall @t49 (not (and @t3 @t31 (not @t88) (not @t87) @t86)))))) % 34.13/34.85 (assume @p35 (forall @t11 (=> @t17 (forall @t67 (=> @t37 (= @t39 (forall @t34 (=> @t79 @t33)))))))) % 34.13/34.85 (assume @p36 (forall @t6 (= @t39 @t89))) % 34.13/34.85 (assume @p37 (forall @t83 (= (= @t30 @t25) (forall @t54 (= @t53 (and @t72 @t44)))))) % 34.13/34.85 (assume @p38 (forall @t11 (=> @t56 (forall @t49 (and (=> @t92 (= @t91 @t93)) (=> (not @t92) (= @t91 (= @t30 tptp.empty_set)))))))) % 34.13/34.85 (assume @p39 (forall @t11 (= @t15 @t14))) % 34.13/34.85 (assume @p40 (forall @t11 (=> @t17 (forall @t67 (= (= @t2 @t51) (forall @t59 (= @t73 (exists @t54 @t79)))))))) % 34.13/34.85 (assume @p41 (forall @t11 (= @t94 @t1))) % 34.13/34.85 (assume @p42 (forall @t6 (= (= @t2 (tptp.union @t1)) (forall @t59 (= @t73 (exists @t54 (and @t71 @t72))))))) % 34.13/34.85 (assume @p43 (forall @t83 (= (= @t30 @t95) (forall @t54 (= @t53 (and @t72 (not @t44))))))) % 34.13/34.85 (assume @p44 (forall @t11 (=> @t56 (forall @t67 (= @t98 (forall @t59 (= @t73 (exists @t54 @t96)))))))) % 34.13/34.85 (assume @p45 (forall @t11 (=> @t17 (forall @t67 (= @t98 (forall @t59 (= @t73 (exists @t54 @t99)))))))) % 34.13/34.85 (assume @p46 (forall @t6 (=> @t101 (= @t100 @t95)))) % 34.13/34.85 (assume @p47 (forall @t6 (= @t102 (tptp.unordered_pair @t22 @t65)))) % 34.13/34.85 (assume @p48 (forall @t11 (=> @t17 (= (tptp.relation_field @t1) (tptp.set_union2 @t51 @t97))))) % 34.13/34.85 (assume @p49 (forall @t11 (=> @t17 (forall @t67 (=> @t37 (= (= @t2 @t103) (forall @t34 (= @t33 @t99)))))))) % 34.13/34.85 (assume @p50 (forall @t6 (= @t104 (= @t25 tptp.empty_set)))) % 34.13/34.85 (assume @p51 (forall @t11 (=> @t56 (= @t18 (forall @t49 (=> (and @t92 (tptp.in @t30 @t51) (= @t90 (tptp.apply @t1 @t30))) @t87)))))) % 34.13/34.85 (assume @p52 (forall @t11 (=> @t17 (forall @t67 (=> @t37 (forall @t59 (=> @t48 (= (= @t30 @t105) (forall @t46 (= @t45 (exists (@list @t84) (and (tptp.in (tptp.ordered_pair @t29 @t84) @t1) (tptp.in (tptp.ordered_pair @t84 @t41) @t2))))))))))))) % 34.13/34.85 (assume @p53 (forall @t6 (=> @t108 (forall @t59 (=> (tptp.element @t30 @t107) (= (= @t30 @t106) (forall @t54 (=> (tptp.element @t29 @t75) (= @t53 (tptp.in (tptp.subset_complement @t1 @t29) @t2)))))))))) % 34.13/34.85 (assume @p54 (forall @t6 (= @t8 (and @t39 @t109)))) % 34.13/34.85 (assume @p55 (forall @t11 (=> @t56 (=> @t18 (= @t110 @t103))))) % 34.13/34.85 (assume @p56 true) % 34.13/34.85 (assume @p57 (forall @t11 (=> @t56 (and (tptp.relation @t110) (tptp.function @t110))))) % 34.13/34.85 (assume @p58 (forall @t11 (tptp.element @t94 @t75))) % 34.13/34.85 (assume @p59 (forall @t6 (=> @t101 (tptp.element @t100 @t75)))) % 34.13/34.85 (assume @p60 (forall @t11 (=> @t17 @t111))) % 34.13/34.85 (assume @p61 (forall @t6 (=> @t113 @t112))) % 34.13/34.85 (assume @p62 (forall @t6 (=> @t108 (tptp.element @t114 @t75)))) % 34.13/34.85 (assume @p63 (forall @t11 @t115)) % 34.13/34.85 (assume @p64 (forall @t6 (=> @t108 (tptp.element @t116 @t75)))) % 34.13/34.85 (assume @p65 (forall @t83 (=> @t119 (tptp.element @t117 @t75)))) % 34.13/34.85 (assume @p66 (forall @t6 (=> @t17 @t120))) % 34.13/34.85 (assume @p67 (forall @t6 (=> @t108 (tptp.element @t106 @t107)))) % 34.13/34.85 (assume @p68 (forall @t6 (=> @t37 (tptp.relation @t58)))) % 34.13/34.85 (assume @p69 (forall @t11 (exists @t67 @t81))) % 34.13/34.85 (assume @p70 (forall @t6 (=> @t122 (and (tptp.empty @t121) (tptp.relation @t121))))) % 34.13/34.85 (assume @p71 (forall @t11 (=> @t10 (and (tptp.empty @t103) @t111)))) % 34.13/34.85 (assume @p72 (and @t125 @t124 @t123)) % 34.13/34.85 (assume @p73 (forall @t6 (=> @t127 (and @t120 (tptp.relation_empty_yielding @t47))))) % 34.13/34.85 (assume @p74 (forall @t6 (=> (and @t17 @t9 @t37 @t128) (and @t112 (tptp.function @t105))))) % 34.13/34.85 (assume @p75 (forall @t11 @t129)) % 34.13/34.85 (assume @p76 (forall @t6 (=> @t113 (tptp.relation @t25)))) % 34.13/34.85 (assume @p77 (forall @t11 (not (tptp.empty @t75)))) % 34.13/34.85 (assume @p78 @t125) % 34.13/34.85 (assume @p79 (forall @t6 (not (tptp.empty @t102)))) % 34.13/34.85 (assume @p80 (forall @t11 (and @t115 (tptp.function @t35)))) % 34.13/34.85 (assume @p81 (and @t124 @t123 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t125 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 34.13/34.85 (assume @p82 (forall @t6 (=> @t113 (tptp.relation @t24)))) % 34.13/34.85 (assume @p83 (forall @t11 (not (tptp.empty @t65)))) % 34.13/34.85 (assume @p84 (forall @t6 (=> @t82 (not (tptp.empty @t24))))) % 34.13/34.85 (assume @p85 (forall @t11 (=> @t19 (and @t111 (tptp.function @t103))))) % 34.13/34.85 (assume @p86 @t131) % 34.13/34.85 (assume @p87 (forall @t6 (=> @t113 (tptp.relation @t95)))) % 34.13/34.85 (assume @p88 (forall @t6 (not (tptp.empty @t22)))) % 34.13/34.85 (assume @p89 (forall @t6 (=> @t82 (not (tptp.empty @t23))))) % 34.13/34.85 (assume @p90 (forall @t6 (=> @t56 (and @t120 (tptp.function @t47))))) % 34.13/34.85 (assume @p91 (and @t125 @t124)) % 34.13/34.85 (assume @p92 (forall @t6 (=> (and @t82 @t132) (not (tptp.empty @t85))))) % 34.13/34.85 (assume @p93 (forall @t11 (=> @t134 (not @t133)))) % 34.13/34.85 (assume @p94 (forall @t11 (=> @t134 (not @t135)))) % 34.13/34.85 (assume @p95 (forall @t11 (=> @t10 (and @t133 (tptp.relation @t51))))) % 34.13/34.85 (assume @p96 (forall @t11 (=> @t10 (and @t135 (tptp.relation @t97))))) % 34.13/34.85 (assume @p97 (forall @t6 (=> @t122 (and (tptp.empty @t105) @t112)))) % 34.13/34.85 (assume @p98 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 34.13/34.85 (assume @p99 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 34.13/34.85 (assume @p100 (forall @t6 (=> @t101 (= (tptp.subset_complement @t1 @t100) @t2)))) % 34.13/34.85 (assume @p101 (forall @t11 (=> @t17 (= (tptp.relation_inverse @t103) @t1)))) % 34.13/34.85 (assume @p102 (forall @t6 (=> @t108 (= (tptp.complements_of_subsets @t1 @t106) @t2)))) % 34.13/34.85 (assume @p103 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 34.13/34.85 (assume @p104 (forall @t11 (not (= @t65 tptp.empty_set)))) % 34.13/34.85 (assume @p105 (forall @t6 (=> @t5 (= (tptp.set_union2 @t65 @t2) @t2)))) % 34.13/34.85 (assume @p106 (forall @t6 (not (and @t136 @t5)))) % 34.13/34.85 (assume @p107 (forall @t6 (=> @t137 @t136))) % 34.13/34.85 (assume @p108 @t139) % 34.13/34.85 (assume @p109 (forall @t6 (= (= @t95 tptp.empty_set) @t39))) % 34.13/34.85 (assume @p110 @t142) % 34.13/34.85 (assume @p111 (forall @t83 (=> @t39 (or @t31 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t30))))))) % 34.13/34.85 (assume @p112 (forall @t6 (= (tptp.subset @t1 @t143) (or @t70 (= @t1 @t143))))) % 34.13/34.85 (assume @p113 (forall @t6 (=> @t5 (tptp.subset @t1 @t144)))) % 34.13/34.85 (assume @p114 (forall @t64 (= (tptp.in @t102 (tptp.cartesian_product2 @t30 @t29)) (and @t145 (tptp.in @t2 @t29))))) % 34.13/34.85 (assume @p115 (forall @t6 (=> @t89 @t146))) % 34.13/34.85 (assume @p116 (forall @t83 (=> @t150 (= @t149 (and (tptp.in @t2 @t147) @t3))))) % 34.13/34.85 (assume @p117 (exists @t11 @t56)) % 34.13/34.85 (assume @p118 (exists @t11 @t21)) % 34.13/34.85 (assume @p119 (exists @t11 (and @t10 @t17))) % 34.13/34.85 (assume @p120 (forall @t11 (=> @t82 (exists @t67 (and @t101 @t132))))) % 34.13/34.85 (assume @p121 (exists @t11 @t10)) % 34.13/34.85 (assume @p122 (exists @t11 @t20)) % 34.13/34.85 (assume @p123 (exists @t11 (and @t17 @t9 @t18 @t10 @t13 @t12 @t15))) % 34.13/34.85 (assume @p124 (exists @t11 @t134)) % 34.13/34.85 (assume @p125 (forall @t11 (exists @t67 (and @t101 @t80)))) % 34.13/34.85 (assume @p126 (exists @t11 @t82)) % 34.13/34.85 (assume @p127 (exists @t11 @t19)) % 34.13/34.85 (assume @p128 (exists @t11 (and @t82 @t13 @t12 @t15))) % 34.13/34.85 (assume @p129 (exists @t11 @t127)) % 34.13/34.85 (assume @p130 (exists @t11 (and @t17 @t126 @t9))) % 34.13/34.85 (assume @p131 (forall @t6 (=> @t108 (= @t114 @t144)))) % 34.13/34.85 (assume @p132 (forall @t6 (=> @t108 (= @t116 (tptp.set_meet @t2))))) % 34.13/34.85 (assume @p133 (forall @t83 (=> @t119 (= @t117 @t151)))) % 34.13/34.85 (assume @p134 @t153) % 34.13/34.85 (assume @p135 (forall @t6 (=> @t28 (tptp.ordinal_subset @t1 @t1)))) % 34.13/34.85 (assume @p136 (forall @t6 (tptp.subset @t1 @t1))) % 34.13/34.85 (assume @p137 (forall @t6 (=> @t104 (tptp.disjoint @t2 @t1)))) % 34.13/34.85 (assume @p138 (forall @t11 (tptp.in @t1 @t66))) % 34.13/34.85 (assume @p139 (forall @t64 (not (and (= @t22 (tptp.unordered_pair @t30 @t29)) (not @t154) (not (= @t1 @t29)))))) % 34.13/34.85 (assume @p140 (forall @t83 (=> @t48 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t30))) (and @t5 (tptp.in @t1 @t155)))))) % 34.13/34.85 (assume @p141 (forall @t6 (=> @t37 (tptp.subset @t156 @t1)))) % 34.13/34.85 (assume @p142 (forall @t6 (=> @t37 (tptp.subset @t58 @t2)))) % 34.13/34.85 (assume @p143 (forall @t6 (=> @t37 (tptp.subset @t156 @t157)))) % 34.13/34.85 (assume @p144 (forall @t83 (=> @t39 (and (tptp.subset @t158 (tptp.cartesian_product2 @t2 @t30)) (tptp.subset (tptp.cartesian_product2 @t30 @t1) (tptp.cartesian_product2 @t30 @t2)))))) % 34.13/34.85 (assume @p145 (forall @t6 (=> @t37 (= @t156 (tptp.set_intersection2 @t157 @t1))))) % 34.13/34.85 (assume @p146 (forall @t64 (=> (and @t39 (tptp.subset @t30 @t29)) (tptp.subset @t158 (tptp.cartesian_product2 @t2 @t29))))) % 34.13/34.85 (assume @p147 (forall @t6 (=> @t39 (= @t24 @t2)))) % 34.13/34.85 (assume @p148 (forall @t11 (exists @t67 (and @t5 @t162 (forall @t59 (=> @t73 (tptp.in @t161 @t2))) @t160)))) % 34.13/34.85 (assume @p149 (forall @t83 (=> @t48 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t30) @t2) (tptp.relation_rng_restriction @t1 @t163))))) % 34.13/34.85 (assume @p150 (forall @t83 (=> @t48 (= (tptp.in @t1 (tptp.relation_image @t30 @t2)) (exists @t54 (and (tptp.in @t29 @t147) (tptp.in (tptp.ordered_pair @t29 @t1) @t30) @t44)))))) % 34.13/34.85 (assume @p151 (forall @t6 (=> @t37 (tptp.subset @t164 @t157)))) % 34.13/34.85 (assume @p152 (forall @t6 (=> @t167 (tptp.subset @t166 @t1)))) % 34.13/34.85 (assume @p153 (forall @t6 (=> @t37 (= @t164 (tptp.relation_image @t2 @t169))))) % 34.13/34.85 (assume @p154 (forall @t6 (=> @t37 (=> (tptp.subset @t1 @t168) (tptp.subset @t1 (tptp.relation_inverse_image @t2 @t164)))))) % 34.13/34.85 (assume @p155 (forall @t11 (=> @t17 (= (tptp.relation_image @t1 @t51) @t97)))) % 34.13/34.85 (assume @p156 (forall @t6 (=> @t167 (=> @t170 (= @t166 @t1))))) % 34.13/34.85 (assume @p157 (forall @t11 (=> @t17 (forall @t67 (=> @t37 (= @t171 (tptp.relation_image @t2 @t97))))))) % 34.13/34.85 (assume @p158 (forall @t83 (=> @t48 (= (tptp.in @t1 @t172) (exists @t54 (and (tptp.in @t29 @t155) (tptp.in (tptp.ordered_pair @t1 @t29) @t30) @t44)))))) % 34.13/34.85 (assume @p159 (forall @t6 (=> @t37 (tptp.subset @t165 @t168)))) % 34.13/34.85 (assume @p160 (forall @t6 (=> @t37 (not (and @t74 @t170 (= @t165 tptp.empty_set)))))) % 34.13/34.85 (assume @p161 (forall @t83 (=> @t48 (=> @t39 (tptp.subset (tptp.relation_inverse_image @t30 @t1) @t172))))) % 34.13/34.85 (assume @p162 (forall @t6 (tptp.subset @t25 @t1))) % 34.13/34.85 (assume @p163 (forall @t83 (=> (and @t39 @t174) (tptp.subset @t1 @t173)))) % 34.13/34.85 (assume @p164 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 34.13/34.85 (assume @p165 (forall @t6 (=> @t5 @t175))) % 34.13/34.85 (assume @p166 (forall @t83 (=> (and @t39 (tptp.subset @t2 @t30)) @t174))) % 34.13/34.85 (assume @p167 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 34.13/34.85 (assume @p168 (forall @t83 (=> @t48 (=> @t177 (and @t176 (tptp.in @t2 @t155)))))) % 34.13/34.85 (assume @p169 (forall @t6 (=> @t167 (forall @t59 (=> @t150 (= @t180 (and @t176 (tptp.in @t178 @t168)))))))) % 34.13/34.85 (assume @p170 (forall @t11 (=> @t13 (forall @t67 (=> @t27 (=> @t8 @t5)))))) % 34.13/34.85 (assume @p171 (forall @t11 (=> @t17 (tptp.subset @t1 (tptp.cartesian_product2 @t51 @t97))))) % 34.13/34.85 (assume @p172 (forall @t6 (=> @t167 (forall @t59 (=> @t150 (=> @t180 (= (tptp.apply @t179 @t1) (tptp.apply @t2 @t178)))))))) % 34.13/34.85 (assume @p173 (forall @t6 (=> @t167 (forall @t59 (=> @t150 (=> (tptp.in @t1 @t168) (= (tptp.apply (tptp.relation_composition @t2 @t30) @t1) (tptp.apply @t30 (tptp.apply @t2 @t1))))))))) % 34.13/34.85 (assume @p174 (forall @t6 (=> @t27 (=> @t5 @t15)))) % 34.13/34.85 (assume @p175 (forall @t11 (=> @t15 (forall @t67 (=> @t27 (not (and @t137 @t109 @t4))))))) % 34.13/34.85 (assume @p176 (forall @t11 (=> @t17 (forall @t67 (=> @t37 (=> @t39 (and (tptp.subset @t51 @t168) (tptp.subset @t97 @t157)))))))) % 34.13/34.85 (assume @p177 (forall @t83 (=> @t39 (tptp.subset (tptp.set_intersection2 @t1 @t30) @t173)))) % 34.13/34.85 (assume @p178 (forall @t6 (=> @t39 (= @t25 @t1)))) % 34.13/34.85 (assume @p179 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 34.13/34.85 (assume @p180 (forall @t6 (=> @t175 (or @t80 @t5)))) % 34.13/34.85 (assume @p181 (forall @t6 (=> (forall @t59 (= @t31 @t73)) @t40))) % 34.13/34.85 (assume @p182 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 34.13/34.85 (assume @p183 (forall @t83 (=> @t48 (=> @t177 (and (tptp.in @t1 @t181) (tptp.in @t2 @t181)))))) % 34.13/34.85 (assume @p184 (forall @t11 (=> (forall @t67 (=> @t3 (and @t27 @t38))) @t15))) % 34.13/34.85 (assume @p185 (forall @t6 (=> @t27 (not (and @t39 @t74 (forall @t59 (=> (tptp.ordinal @t30) (not (and @t31 (forall @t54 (=> (tptp.ordinal @t29) (=> @t72 (tptp.ordinal_subset @t30 @t29))))))))))))) % 34.13/34.85 (assume @p186 @t186) % 34.13/34.85 (assume @p187 (forall @t83 (=> @t39 (tptp.subset (tptp.set_difference @t1 @t30) @t151)))) % 34.13/34.85 (assume @p188 (forall @t64 (=> (= @t102 @t32) (and @t154 (= @t2 @t29))))) % 34.13/34.85 (assume @p189 (forall @t6 (=> @t167 (= @t36 (and (= @t168 @t1) (forall @t59 (=> @t31 (= @t187 @t30)))))))) % 34.13/34.85 (assume @p190 (forall @t6 (=> @t3 (= (tptp.apply @t35 @t2) @t2)))) % 34.13/34.85 (assume @p191 (forall @t6 (tptp.subset @t95 @t1))) % 34.13/34.85 (assume @p192 (forall @t11 (=> @t17 (and (= @t97 (tptp.relation_dom @t103)) (= @t51 (tptp.relation_rng @t103)))))) % 34.13/34.85 (assume @p193 (forall @t83 (= (tptp.subset @t22 @t30) (and @t145 @t88)))) % 34.13/34.85 (assume @p194 (forall @t6 (= @t188 @t24))) % 34.13/34.85 (assume @p195 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 34.13/34.85 (assume @p196 (forall @t83 (not (and @t5 @t88 @t31)))) % 34.13/34.85 (assume @p197 @t189) % 34.13/34.85 (assume @p198 (forall @t6 (and (not (and @t191 (forall @t59 (not @t190)))) (not (and (exists @t59 @t190) @t104))))) % 34.13/34.85 (assume @p199 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t70))) % 34.13/34.85 (assume @p200 (forall @t6 (= (tptp.set_difference @t24 @t2) @t95))) % 34.13/34.85 (assume @p201 (forall @t6 (=> @t101 (forall @t59 (=> @t118 (= @t193 (tptp.subset @t2 @t192))))))) % 34.13/34.85 (assume @p202 (forall @t11 (=> @t17 (forall @t67 (=> @t37 (tptp.subset @t194 @t51)))))) % 34.13/34.85 (assume @p203 (forall @t11 (=> @t17 (forall @t67 (=> @t37 (tptp.subset @t171 @t157)))))) % 34.13/34.85 (assume @p204 (forall @t6 (=> @t39 (= @t2 @t188)))) % 34.13/34.85 (assume @p205 (forall @t11 (=> @t17 (forall @t67 (=> @t37 (=> (tptp.subset @t97 @t168) (= @t194 @t51))))))) % 34.13/34.85 (assume @p206 (forall @t6 (=> @t108 (not (and @t195 (= @t106 tptp.empty_set)))))) % 34.13/34.85 (assume @p207 (forall @t11 (=> @t17 (forall @t67 (=> @t37 (=> (tptp.subset @t51 @t157) (= (tptp.relation_rng @t121) @t97))))))) % 34.13/34.85 (assume @p208 (forall @t6 (=> @t108 (=> @t195 (= (tptp.subset_difference @t1 @t94 @t114) (tptp.meet_of_subsets @t1 @t106)))))) % 34.13/34.85 (assume @p209 (forall @t6 (=> @t108 (=> @t195 (= (tptp.union_of_subsets @t1 @t106) (tptp.subset_difference @t1 @t94 @t116)))))) % 34.13/34.85 (assume @p210 (forall @t6 (= (tptp.set_difference @t1 @t95) @t25))) % 34.13/34.85 (assume @p211 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 34.13/34.85 (assume @p212 (forall @t83 (=> (and @t5 @t196) (tptp.element @t1 @t30)))) % 34.13/34.85 (assume @p213 (forall @t6 (and (not (and @t191 (forall @t59 (not @t197)))) (not (and (exists @t59 @t197) @t104))))) % 34.13/34.85 (assume @p214 (forall @t11 (=> @t74 (forall @t67 (=> @t101 (forall @t59 (=> (tptp.element @t30 @t1) (=> @t86 (tptp.in @t30 @t100))))))))) % 34.13/34.85 (assume @p215 (forall @t11 (=> @t56 (=> @t18 (forall @t67 (=> @t167 (= (= @t2 @t110) (and (= @t168 @t97) (forall @t34 (and (=> @t198 @t96) (=> @t96 @t198))))))))))) % 34.13/34.85 (assume @p216 (forall @t83 (=> @t118 (not (and (tptp.in @t2 @t192) @t88))))) % 34.13/34.85 (assume @p217 (forall @t11 (=> @t56 (=> @t18 (and (= @t97 (tptp.relation_dom @t110)) (= @t51 (tptp.relation_rng @t110))))))) % 34.13/34.85 (assume @p218 (forall @t11 (=> @t17 (=> (forall @t49 (not @t93)) @t70)))) % 34.13/34.85 (assume @p219 (forall @t6 (=> @t167 (=> (and (tptp.one_to_one @t2) (tptp.in @t1 @t157)) (and (= @t1 (tptp.apply @t2 (tptp.apply @t199 @t1))) (= @t1 (tptp.apply (tptp.relation_composition @t199 @t2) @t1))))))) % 34.13/34.85 (assume @p220 (forall @t83 (not (and @t5 @t196 (tptp.empty @t30))))) % 34.13/34.85 (assume @p221 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 34.13/34.85 (assume @p222 (forall @t6 (not (and @t39 @t7)))) % 34.13/34.85 (assume @p223 (forall @t11 (=> @t56 (=> @t18 (tptp.one_to_one @t110))))) % 34.13/34.85 (assume @p224 (forall @t83 (=> (and @t39 @t193) (tptp.disjoint @t1 @t30)))) % 34.13/34.85 (assume @p225 (forall @t11 (=> @t17 (=> (or @t201 @t200) @t70)))) % 34.13/34.85 (assume @p226 (forall @t11 (=> @t17 (= @t201 @t200)))) % 34.13/34.85 (assume @p227 (forall @t6 (= (= (tptp.set_difference @t1 @t143) @t1) @t4))) % 34.13/34.85 (assume @p228 (forall @t6 (=> @t167 (forall @t59 (=> @t150 (= (= @t2 @t148) (and (= @t168 (tptp.set_intersection2 @t147 @t1)) (forall @t54 (=> (tptp.in @t29 @t168) (= (tptp.apply @t2 @t29) (tptp.apply @t30 @t29))))))))))) % 34.13/34.85 (assume @p229 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t65))) % 34.13/34.85 (assume @p230 (forall @t11 (=> @t10 @t70))) % 34.13/34.85 (assume @p231 (forall @t6 (=> (tptp.subset @t65 @t143) @t40))) % 34.13/34.85 (assume @p232 (forall @t83 (=> @t150 (=> @t149 @t202)))) % 34.13/34.85 (assume @p233 (forall @t11 (and (= (tptp.relation_dom @t35) @t1) (= (tptp.relation_rng @t35) @t1)))) % 34.13/34.85 (assume @p234 (forall @t83 (=> @t150 (=> @t3 @t202)))) % 34.13/34.85 (assume @p235 (forall @t64 (=> (tptp.relation @t29) (= (tptp.in @t102 (tptp.relation_composition (tptp.identity_relation @t30) @t29)) (and @t145 (tptp.in @t102 @t29)))))) % 34.13/34.85 (assume @p236 (forall @t6 (not (and @t5 @t80)))) % 34.13/34.85 (assume @p237 (forall @t6 (not (and @t5 (forall @t59 (not (and @t73 (forall @t54 (not (and @t44 @t53)))))))))) % 34.13/34.85 (assume @p238 (forall @t6 (tptp.subset @t1 @t24))) % 34.13/34.85 (assume @p239 (forall @t6 (= @t104 (= @t95 @t1)))) % 34.13/34.85 (assume @p240 (forall @t83 (=> @t48 (= (tptp.in @t1 (tptp.relation_dom @t163)) (and @t5 @t176))))) % 34.13/34.85 (assume @p241 (forall @t6 (=> @t37 (tptp.subset @t203 @t2)))) % 34.13/34.85 (assume @p242 (forall @t6 (not (and @t10 @t109 @t80)))) % 34.13/34.85 (assume @p243 (forall @t83 (=> @t150 (= @t177 (and @t176 (= @t2 @t178)))))) % 34.13/34.85 (assume @p244 @t206) % 34.13/34.85 (assume @p245 (forall @t83 (=> @t207 @t40))) % 34.13/34.85 (assume @p246 (forall @t6 (=> @t37 (= (tptp.relation_dom @t203) @t169)))) % 34.13/34.85 (assume @p247 (forall @t6 (=> @t37 (= @t203 (tptp.relation_composition @t35 @t2))))) % 34.13/34.85 (assume @p248 (forall @t6 (=> @t37 (tptp.subset (tptp.relation_rng @t203) @t157)))) % 34.13/34.85 (assume @p249 (forall @t11 (= (tptp.union @t75) @t1))) % 34.13/34.85 (assume @p250 (forall @t11 (exists @t67 (and @t5 @t162 (forall @t59 (not (and @t73 (forall @t54 (not (and @t44 (forall @t52 (=> (tptp.subset @t41 @t30) @t63)))))))) @t160)))) % 34.13/34.85 (assume @p251 (forall @t83 (=> @t207 @t87))) % 34.13/34.85 (step @p252 :rule aci_norm :args ((= @t214 @t212))) % 34.13/34.85 (step @p253 :rule cong :premises (@p252) :args (@t216)) % 34.13/34.85 (step @p254 :rule quant-merge-prenex :args ((= (forall @t6 @t218) @t216))) % 34.13/34.85 (step @p255 :rule alpha_equiv :args (@t219 (@list @t208) (@list @t30))) % 34.13/34.85 (step @p256 :rule refl :args (@t211)) % 34.13/34.85 (step @p257 :rule nary_cong :premises (@p256 @p255) :args (@t220)) % 34.13/34.85 (step @p258 :rule quant-miniscope-or :args ((= @t218 @t220))) % 34.13/34.85 (step @p259 :rule trans :premises (@p258 @p257)) % 34.13/34.85 (step @p260 :rule symm :premises (@p259)) % 34.13/34.85 (step @p261 :rule cong :premises (@p260) :args ((forall @t6 (or @t211 @t221)))) % 34.13/34.85 (step @p262 :rule trans :premises (@p261 @p254)) % 34.13/34.85 (step @p263 :rule trans :premises (@p262 @p253)) % 34.13/34.85 (step @p264 :rule bool-impl-elim :args (@t101 @t221)) % 34.13/34.85 (step @p265 :rule cong :premises (@p264) :args ((forall @t6 (=> @t101 @t221)))) % 34.13/34.85 (step @p266 :rule trans :premises (@p265 @p263)) % 34.13/34.85 (step @p267 :rule bool-impl-elim :args (@t73 @t31)) % 34.13/34.85 (step @p268 :rule cong :premises (@p267) :args (@t140)) % 34.13/34.85 (step @p269 :rule refl :args (@t101)) % 34.13/34.85 (step @p270 :rule cong :premises (@p269 @p268) :args (@t141)) % 34.13/34.85 (step @p271 :rule cong :premises (@p270) :args (@t142)) % 34.13/34.85 (step @p272 :rule trans :premises (@p271 @p266)) % 34.13/34.85 (step @p273 :rule eq_resolve :premises (@p110 @p272)) % 34.13/34.85 (step @p274 :rule eq-symm :args (@t146 @t39)) % 34.13/34.85 (step @p275 :rule cong :premises (@p274) :args (@t189)) % 34.13/34.85 (step @p276 :rule eq_resolve :premises (@p197 @p275)) % 34.13/34.85 (step @p277 :rule instantiate :premises (@p276) :args (@t232)) % 34.13/34.85 (step @p278 :rule aci_norm :args ((= (or (or @t225 @t233) @t152) (or @t225 @t233 @t152)))) % 34.13/34.85 (step @p279 :rule refl :args (@t152)) % 34.13/34.85 (step @p280 :rule bool-and-de-morgan :args (@t15 @t27 true)) % 34.13/34.85 (step @p281 :rule nary_cong :premises (@p280 @p279) :args ((or (not @t28) @t152))) % 34.13/34.85 (step @p282 :rule trans :premises (@p281 @p278)) % 34.13/34.85 (step @p283 :rule bool-impl-elim :args (@t28 @t152)) % 34.13/34.85 (step @p284 :rule trans :premises (@p283 @p282)) % 34.13/34.85 (step @p285 :rule cong :premises (@p284) :args (@t153)) % 34.13/34.85 (step @p286 :rule eq_resolve :premises (@p134 @p285)) % 34.13/34.85 (step @p287 :rule instantiate :premises (@p286) :args (@t232)) % 34.13/34.85 (step @p288 :rule bool-impl-elim :args (@t15 @t130)) % 34.13/34.85 (step @p289 :rule cong :premises (@p288) :args (@t131)) % 34.13/34.85 (step @p290 :rule eq_resolve :premises (@p86 @p289)) % 34.13/34.85 (step @p291 :rule instantiate :premises (@p290) :args (@t234)) % 34.13/34.85 (step @p292 :rule aci_norm :args ((= @t236 @t226))) % 34.13/34.85 (step @p293 :rule cong :premises (@p292) :args (@t237)) % 34.13/34.85 (step @p294 :rule quant-merge-prenex :args ((= (forall @t11 @t239) @t237))) % 34.13/34.85 (step @p295 :rule alpha_equiv :args (@t240 (@list @t222) (@list @t2))) % 34.13/34.85 (step @p296 :rule refl :args (@t225)) % 34.13/34.85 (step @p297 :rule nary_cong :premises (@p296 @p295) :args (@t241)) % 34.13/34.85 (step @p298 :rule quant-miniscope-or :args ((= @t239 @t241))) % 34.13/34.85 (step @p299 :rule trans :premises (@p298 @p297)) % 34.13/34.85 (step @p300 :rule symm :premises (@p299)) % 34.13/34.85 (step @p301 :rule cong :premises (@p300) :args ((forall @t11 (or @t225 @t242)))) % 34.13/34.85 (step @p302 :rule trans :premises (@p301 @p294)) % 34.13/34.85 (step @p303 :rule trans :premises (@p302 @p293)) % 34.13/34.85 (step @p304 :rule bool-impl-elim :args (@t15 @t242)) % 34.13/34.85 (step @p305 :rule cong :premises (@p304) :args ((forall @t11 (=> @t15 @t242)))) % 34.13/34.85 (step @p306 :rule trans :premises (@p305 @p303)) % 34.13/34.85 (step @p307 :rule bool-impl-elim :args (@t27 @t182)) % 34.13/34.85 (step @p308 :rule cong :premises (@p307) :args (@t183)) % 34.13/34.85 (step @p309 :rule refl :args (@t15)) % 34.13/34.85 (step @p310 :rule cong :premises (@p309 @p308) :args (@t184)) % 34.13/34.85 (step @p311 :rule cong :premises (@p310) :args (@t185)) % 34.13/34.85 (step @p312 :rule trans :premises (@p311 @p306)) % 34.13/34.85 (step @p313 :rule cong :premises (@p312) :args (@t186)) % 34.13/34.85 (step @p314 :rule eq_resolve :premises (@p186 @p313)) % 34.13/34.85 (step @p315 :rule skolemize :premises (@p314)) % 34.13/34.85 (step @p316 :rule bool-double-not-elim :args (@t243)) % 34.13/34.85 (step @p317 :rule refl :args (@t250)) % 34.13/34.85 (step @p318 :rule nary_cong :premises (@p317 @p316) :args ((or @t250 (not @t249)))) % 34.13/34.85 (step @p319 :rule cnf_or_neg :args (@t250 0)) % 34.13/34.85 (step @p320 :rule eq_resolve :premises (@p319 @p318)) % 34.13/34.85 (step @p321 :rule reordering :premises (@p320) :args ((or @t243 @t250))) % 34.13/34.85 (step @p322 :rule chain_m_resolution :premises (@p321 @p315) :args (@t243 @t251 @t252)) % 34.13/34.85 (step @p323 :rule cnf_or_pos :args (@t255)) % 34.13/34.85 (step @p324 :rule reordering :premises (@p323) :args ((or @t249 @t254 (not @t255)))) % 34.13/34.85 (step @p325 :rule chain_m_resolution :premises (@p324 @p322 @p291) :args (@t254 @t256 (@list @t243 @t255))) % 34.13/34.85 (step @p326 :rule cnf_and_pos :args (@t254 3)) % 34.13/34.85 (step @p327 :rule reordering :premises (@p326) :args ((or @t253 (not @t254)))) % 34.13/34.85 (step @p328 :rule chain_m_resolution :premises (@p327 @p325) :args (@t253 @t257 (@list @t254))) % 34.13/34.85 (step @p329 :rule bool-double-not-elim :args (@t247)) % 34.13/34.85 (step @p330 :rule nary_cong :premises (@p317 @p329) :args ((or @t250 (not @t248)))) % 34.13/34.85 (step @p331 :rule cnf_or_neg :args (@t250 1)) % 34.13/34.85 (step @p332 :rule eq_resolve :premises (@p331 @p330)) % 34.13/34.85 (step @p333 :rule reordering :premises (@p332) :args ((or @t247 @t250))) % 34.13/34.85 (step @p334 :rule chain_m_resolution :premises (@p333 @p315) :args (@t247 @t251 @t252)) % 34.13/34.85 (step @p335 :rule cnf_or_pos :args (@t261)) % 34.13/34.85 (step @p336 :rule reordering :premises (@p335) :args ((or @t248 @t260 @t259 (not @t261)))) % 34.13/34.85 (step @p337 :rule chain_m_resolution :premises (@p336 @p334 @p328 @p287) :args (@t259 (@list false false false) (@list @t247 @t253 @t261))) % 34.13/34.85 (step @p338 :rule cnf_or_neg :args (@t250 2)) % 34.13/34.85 (step @p339 :rule chain_m_resolution :premises (@p338 @p315) :args ((not @t246) @t251 @t252)) % 34.13/34.85 (step @p340 :rule cnf_equiv_neg2 :args (@t246)) % 34.13/34.85 (step @p341 :rule eq-symm :args (@t138 @t5)) % 34.13/34.85 (step @p342 :rule cong :premises (@p341) :args (@t139)) % 34.13/34.85 (step @p343 :rule eq_resolve :premises (@p108 @p342)) % 34.13/34.85 (step @p344 :rule instantiate :premises (@p343) :args ((@list @t230 @t229))) % 34.13/34.85 (step @p345 :rule cnf_equiv_pos1 :args (@t264)) % 34.13/34.85 (step @p346 :rule reordering :premises (@p345) :args ((or @t265 @t263 (not @t264)))) % 34.13/34.85 (step @p347 :rule bool-impl-elim :args (@t3 @t38)) % 34.13/34.85 (step @p348 :rule cong :premises (@p347) :args (@t76)) % 34.13/34.85 (step @p349 :rule refl :args (@t13)) % 34.13/34.85 (step @p350 :rule cong :premises (@p349 @p348) :args (@t77)) % 34.13/34.85 (step @p351 :rule cong :premises (@p350) :args (@t78)) % 34.13/34.85 (step @p352 :rule eq_resolve :premises (@p28 @p351)) % 34.13/34.85 (step @p353 :rule instantiate :premises (@p352) :args (@t266)) % 34.13/34.85 (step @p354 :rule bool-impl-elim :args (@t15 @t14)) % 34.13/34.85 (step @p355 :rule cong :premises (@p354) :args (@t16)) % 34.13/34.85 (step @p356 :rule eq_resolve :premises (@p4 @p355)) % 34.13/34.85 (step @p357 :rule instantiate :premises (@p356) :args (@t266)) % 34.13/34.85 (step @p358 :rule cnf_or_pos :args (@t269)) % 34.13/34.85 (step @p359 :rule reordering :premises (@p358) :args ((or @t248 @t268 (not @t269)))) % 34.13/34.85 (step @p360 :rule chain_m_resolution :premises (@p359 @p334 @p357) :args (@t268 @t256 (@list @t247 @t269))) % 34.13/34.85 (step @p361 :rule cnf_and_pos :args (@t268 0)) % 34.13/34.85 (step @p362 :rule reordering :premises (@p361) :args ((or @t267 (not @t268)))) % 34.13/34.85 (step @p363 :rule chain_m_resolution :premises (@p362 @p360) :args (@t267 @t257 (@list @t268))) % 34.13/34.85 (step @p364 :rule cnf_equiv_pos1 :args (@t271)) % 34.13/34.85 (step @p365 :rule reordering :premises (@p364) :args ((or (not @t267) @t270 (not @t271)))) % 34.13/34.85 (step @p366 :rule chain_m_resolution :premises (@p365 @p363 @p353) :args (@t270 @t256 (@list @t267 @t271))) % 34.13/34.85 (step @p367 :rule instantiate :premises (@p366) :args (@t234)) % 34.13/34.85 (step @p368 :rule cnf_or_pos :args (@t273)) % 34.13/34.85 (step @p369 :rule reordering :premises (@p368) :args ((or @t265 @t272 (not @t273)))) % 34.13/34.85 (step @p370 :rule cnf_equiv_pos2 :args (@t259)) % 34.13/34.85 (step @p371 :rule reordering :premises (@p370) :args ((or @t244 @t275 @t274))) % 34.13/34.85 (step @p372 :rule aci_norm :args ((= (or (or @t277 @t276) @t204) (or @t277 @t276 @t204)))) % 34.13/34.85 (step @p373 :rule refl :args (@t204)) % 34.13/34.85 (step @p374 :rule bool-and-de-morgan :args (@t39 @t159 true)) % 34.13/34.85 (step @p375 :rule nary_cong :premises (@p374 @p373) :args ((or (not @t205) @t204))) % 34.13/34.85 (step @p376 :rule trans :premises (@p375 @p372)) % 34.13/34.85 (step @p377 :rule bool-impl-elim :args (@t205 @t204)) % 34.13/34.85 (step @p378 :rule trans :premises (@p377 @p376)) % 34.13/34.85 (step @p379 :rule cong :premises (@p378) :args (@t206)) % 34.13/34.85 (step @p380 :rule eq_resolve :premises (@p244 @p379)) % 34.13/34.85 (step @p381 :rule instantiate :premises (@p380) :args ((@list @t230 @t229 @t262))) % 34.13/34.85 (step @p382 :rule cnf_or_pos :args (@t282)) % 34.13/34.85 (step @p383 :rule reordering :premises (@p382) :args ((or @t280 @t281 @t279 (not @t282)))) % 34.13/34.85 (step @p384 :rule instantiate :premises (@p22) :args (@t234)) % 34.13/34.85 (step @p385 :rule refl :args (@t283)) % 34.13/34.85 (step @p386 :rule bool-double-not-elim :args (@t258)) % 34.13/34.85 (step @p387 :rule refl :args (@t285)) % 34.13/34.85 (step @p388 :rule nary_cong :premises (@p387 @p386 @p385) :args ((or @t285 (not @t275) @t283))) % 34.13/34.85 (assume-push @p432 @t284) % 34.13/34.85 (assume-push @p433 @t275) % 34.13/34.85 (assume-push @p434 @t275) % 34.13/34.85 (assume-push @p435 @t284) % 34.13/34.85 (step @p393 :rule false_intro :premises (@p433)) % 34.13/34.85 (step @p394 :rule refl :args (@t229)) % 34.13/34.85 (step @p395 :rule symm :premises (@p384)) % 34.13/34.85 (step @p396 :rule cong :premises (@p395 @p394) :args (@t279)) % 34.13/34.85 (step @p397 :rule trans :premises (@p396 @p393)) % 34.13/34.85 (step @p398 :rule false_elim :premises (@p397)) % 34.13/34.85 (step-pop @p436 :rule scope :premises (@p398)) % 34.13/34.85 (step-pop @p437 :rule scope :premises (@p436)) % 34.13/34.85 (step @p399 :rule process_scope :premises (@p437) :args (@t283)) % 34.13/34.85 (step @p402 :rule and_intro :premises (@p433 @p384)) % 34.13/34.85 (step @p403 :rule modus_ponens :premises (@p402 @p399)) % 34.13/34.85 (step-pop @p438 :rule scope :premises (@p403)) % 34.13/34.85 (step-pop @p439 :rule scope :premises (@p438)) % 34.13/34.85 (step @p404 :rule process_scope :premises (@p439) :args (@t283)) % 34.13/34.85 (step @p407 :rule implies_elim :premises (@p404)) % 34.13/34.85 (step @p408 :rule cnf_and_neg :args (@t286)) % 34.13/34.85 (step @p409 :rule resolution :premises (@p408 @p407) :args (true @t286)) % 34.13/34.85 (step @p410 :rule eq_resolve :premises (@p409 @p388)) % 34.13/34.85 (step @p411 :rule reordering :premises (@p410) :args ((or @t258 @t285 @t283))) % 34.13/34.86 (step @p412 :rule chain_m_resolution :premises (@p411 @p384 @p383 @p381 @p371 @p337 @p369 @p367 @p346 @p344 @p340 @p339) :args (@t265 (@list false false false true false false false false false true true) (@list @t284 @t279 @t282 @t258 @t259 @t272 @t273 @t263 @t264 @t244 @t246))) % 34.13/34.86 (step @p413 :rule cnf_equiv_neg1 :args (@t246)) % 34.13/34.86 (step @p414 :rule reordering :premises (@p413) :args ((or @t245 @t244 @t246))) % 34.13/34.86 (step @p415 :rule chain_m_resolution :premises (@p414 @p412 @p339) :args (@t244 (@list true true) (@list @t245 @t246))) % 34.13/34.86 (step @p416 :rule cnf_equiv_pos1 :args (@t259)) % 34.13/34.86 (step @p417 :rule reordering :premises (@p416) :args ((or (not @t244) @t258 @t274))) % 34.13/34.86 (step @p418 :rule chain_m_resolution :premises (@p417 @p415 @p337) :args (@t258 @t256 (@list @t244 @t259))) % 34.13/34.86 (step @p419 :rule cnf_equiv_pos1 :args (@t288)) % 34.13/34.86 (step @p420 :rule reordering :premises (@p419) :args ((or @t275 @t287 (not @t288)))) % 34.13/34.86 (step @p421 :rule chain_m_resolution :premises (@p420 @p418 @p277) :args (@t287 @t256 (@list @t258 @t288))) % 34.13/34.86 (step @p422 :rule instantiate :premises (@p138) :args (@t234)) % 34.13/34.86 (step @p423 :rule cnf_or_pos :args (@t292)) % 34.13/34.86 (step @p424 :rule reordering :premises (@p423) :args ((or @t245 @t290 @t291 @t293))) % 34.13/34.86 (step @p425 :rule chain_m_resolution :premises (@p424 @p412 @p422 @p421) :args (@t293 (@list true false false) (@list @t245 @t289 @t287))) % 34.13/34.86 (assume-push @p440 @t294) % 34.13/34.86 (step @p427 :rule instantiate :premises (@p273) :args ((@list @t229 @t231 @t230))) % 34.13/34.86 (step-pop @p441 :rule scope :premises (@p427)) % 34.13/34.86 (step @p428 :rule process_scope :premises (@p441) :args (@t292)) % 34.13/34.86 (step @p430 :rule implies_elim :premises (@p428)) % 34.13/34.86 (step @p431 false :rule chain_m_resolution :premises (@p430 @p425 @p273) :args (false (@list true false) (@list @t292 @t294))) % 34.13/34.86 ) % 34.13/34.86 % SZS output end Proof % 34.13/34.86 % cvc5 exiting %------------------------------------------------------------------------------