%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM047-1 : TPTP v9.2.1. Bugfixed v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:38:24 AM UTC 2026 % Result : Unsatisfiable 64.15s 64.70s % Output : Proof 64.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM047-1 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n007.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 10:22:41 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/15.91 --- Run --no-e-matching --full-saturate-quant at 6... % 21.72/21.98 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.86/28.04 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.85/34.11 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.10/64.34 --- Run --trigger-sel=max --full-saturate-quant at 15... % 64.15/64.70 % SZS status Unsatisfiable % 64.15/64.70 % SZS output start Proof % 64.15/64.71 ( % 64.15/64.71 (declare-sort $$unsorted 0) % 64.15/64.71 (declare-const tptp.integer_of (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.union_of_range_map $$unsorted) % 64.15/64.71 (declare-const tptp.rest_of (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.kind_1_ordinals $$unsorted) % 64.15/64.71 (declare-const tptp.section (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.15/64.71 (declare-const tptp.not_well_ordering (-> $$unsorted $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.least (-> $$unsorted $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.asymmetric (-> $$unsorted $$unsorted Bool)) % 64.15/64.71 (declare-const tptp.transitive (-> $$unsorted $$unsorted Bool)) % 64.15/64.71 (declare-const tptp.irreflexive (-> $$unsorted $$unsorted Bool)) % 64.15/64.71 (declare-const tptp.limit_ordinals $$unsorted) % 64.15/64.71 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.ordinal_multiply (-> $$unsorted $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.not_subclass_element (-> $$unsorted $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.ordinal_numbers $$unsorted) % 64.15/64.71 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.identity_relation $$unsorted) % 64.15/64.71 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.composition_function $$unsorted) % 64.15/64.71 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.z $$unsorted) % 64.15/64.71 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.15/64.71 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.compose_class (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.well_ordering (-> $$unsorted $$unsorted Bool)) % 64.15/64.71 (declare-const tptp.domain_relation $$unsorted) % 64.15/64.71 (declare-const tptp.null_class $$unsorted) % 64.15/64.71 (declare-const tptp.rest_relation $$unsorted) % 64.15/64.71 (declare-const tptp.subset_relation $$unsorted) % 64.15/64.71 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.inductive (-> $$unsorted Bool)) % 64.15/64.71 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.connected (-> $$unsorted $$unsorted Bool)) % 64.15/64.71 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 64.15/64.71 (declare-const tptp.omega $$unsorted) % 64.15/64.71 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 64.15/64.71 (declare-const tptp.universal_class $$unsorted) % 64.15/64.71 (declare-const tptp.not_homomorphism1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.choice $$unsorted) % 64.15/64.71 (declare-const tptp.successor_relation $$unsorted) % 64.15/64.71 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.y $$unsorted) % 64.15/64.71 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.single_valued2 (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.element_relation $$unsorted) % 64.15/64.71 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.single_valued_class (-> $$unsorted Bool)) % 64.15/64.71 (declare-const tptp.single_valued3 (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.x $$unsorted) % 64.15/64.71 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.function (-> $$unsorted Bool)) % 64.15/64.71 (declare-const tptp.regular (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.recursion_equation_functions (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.segment (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.diagonalise (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.cantor (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.operation (-> $$unsorted Bool)) % 64.15/64.71 (declare-const tptp.recursion (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.compatible (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.15/64.71 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.not_homomorphism2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.single_valued1 (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.symmetrization_of (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.ordinal_add (-> $$unsorted $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.singleton_relation $$unsorted) % 64.15/64.71 (declare-const tptp.add_relation $$unsorted) % 64.15/64.71 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 64.15/64.71 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 64.15/64.71 (declare-const tptp.application_function $$unsorted) % 64.15/64.71 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 64.15/64.71 (define @t1 () (@var "Y" $$unsorted)) % 64.15/64.71 (define @t2 () (@var "U" $$unsorted)) % 64.15/64.71 (define @t3 () (@var "X" $$unsorted)) % 64.15/64.71 (define @t4 () (tptp.member @t2 @t3)) % 64.15/64.71 (define @t5 () (not @t4)) % 64.15/64.71 (define @t6 () (tptp.subclass @t3 @t1)) % 64.15/64.71 (define @t7 () (not @t6)) % 64.15/64.71 (define @t8 () (forall (@list @t3 @t1 @t2) (or @t7 @t5 (tptp.member @t2 @t1)))) % 64.15/64.71 (define @t9 () (tptp.not_subclass_element @t3 @t1)) % 64.15/64.71 (define @t10 () (@list @t3 @t1)) % 64.15/64.71 (define @t11 () (@list @t3)) % 64.15/64.71 (define @t12 () (= @t3 @t1)) % 64.15/64.71 (define @t13 () (not @t12)) % 64.15/64.71 (define @t14 () (tptp.subclass @t1 @t3)) % 64.15/64.71 (define @t15 () (tptp.unordered_pair @t3 @t1)) % 64.15/64.71 (define @t16 () (not (tptp.member @t3 tptp.universal_class))) % 64.15/64.71 (define @t17 () (not (tptp.member @t1 tptp.universal_class))) % 64.15/64.71 (define @t18 () (@list @t1 @t3)) % 64.15/64.71 (define @t19 () (tptp.singleton @t3)) % 64.15/64.71 (define @t20 () (tptp.ordered_pair @t3 @t1)) % 64.15/64.71 (define @t21 () (tptp.singleton @t1)) % 64.15/64.71 (define @t22 () (tptp.cross_product @t3 @t1)) % 64.15/64.71 (define @t23 () (@var "V" $$unsorted)) % 64.15/64.71 (define @t24 () (tptp.ordered_pair @t2 @t23)) % 64.15/64.71 (define @t25 () (tptp.member @t24 @t22)) % 64.15/64.71 (define @t26 () (not @t25)) % 64.15/64.71 (define @t27 () (@list @t2 @t23 @t3 @t1)) % 64.15/64.71 (define @t28 () (tptp.member @t23 @t1)) % 64.15/64.71 (define @t29 () (@var "Z" $$unsorted)) % 64.15/64.71 (define @t30 () (tptp.ordered_pair (tptp.first @t29) (tptp.second @t29))) % 64.15/64.71 (define @t31 () (not (tptp.member @t29 @t22))) % 64.15/64.71 (define @t32 () (or @t31 (= @t30 @t29))) % 64.15/64.71 (define @t33 () (@list @t29 @t3 @t1)) % 64.15/64.71 (define @t34 () (forall @t33 @t32)) % 64.15/64.71 (define @t35 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 64.15/64.71 (define @t36 () (tptp.member @t3 @t1)) % 64.15/64.71 (define @t37 () (tptp.member @t20 tptp.element_relation)) % 64.15/64.71 (define @t38 () (not (tptp.member @t20 @t35))) % 64.15/64.71 (define @t39 () (tptp.member @t29 @t3)) % 64.15/64.71 (define @t40 () (tptp.intersection @t3 @t1)) % 64.15/64.71 (define @t41 () (tptp.member @t29 @t40)) % 64.15/64.71 (define @t42 () (not @t41)) % 64.15/64.71 (define @t43 () (tptp.member @t29 @t1)) % 64.15/64.71 (define @t44 () (not @t39)) % 64.15/64.71 (define @t45 () (tptp.complement @t3)) % 64.15/64.71 (define @t46 () (tptp.member @t29 @t45)) % 64.15/64.71 (define @t47 () (@list @t29 @t3)) % 64.15/64.71 (define @t48 () (not (tptp.member @t29 tptp.universal_class))) % 64.15/64.71 (define @t49 () (tptp.complement (tptp.intersection @t45 (tptp.complement @t1)))) % 64.15/64.71 (define @t50 () (@var "Xr" $$unsorted)) % 64.15/64.71 (define @t51 () (tptp.restrict @t50 @t3 @t1)) % 64.15/64.71 (define @t52 () (tptp.domain_of @t3)) % 64.15/64.71 (define @t53 () (tptp.member @t29 @t52)) % 64.15/64.71 (define @t54 () (tptp.singleton @t29)) % 64.15/64.71 (define @t55 () (= (tptp.restrict @t3 @t54 tptp.universal_class) tptp.null_class)) % 64.15/64.71 (define @t56 () (@list @t3 @t29)) % 64.15/64.71 (define @t57 () (tptp.cross_product @t35 tptp.universal_class)) % 64.15/64.71 (define @t58 () (tptp.rotate @t3)) % 64.15/64.71 (define @t59 () (@var "W" $$unsorted)) % 64.15/64.71 (define @t60 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t23 @t59) @t2) @t3)) % 64.15/64.71 (define @t61 () (tptp.ordered_pair @t24 @t59)) % 64.15/64.71 (define @t62 () (tptp.member @t61 @t58)) % 64.15/64.71 (define @t63 () (@list @t2 @t23 @t59 @t3)) % 64.15/64.71 (define @t64 () (not (tptp.member @t61 @t57))) % 64.15/64.71 (define @t65 () (tptp.flip @t3)) % 64.15/64.71 (define @t66 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t23 @t2) @t59) @t3)) % 64.15/64.71 (define @t67 () (tptp.member @t61 @t65)) % 64.15/64.71 (define @t68 () (@list @t1)) % 64.15/64.71 (define @t69 () (tptp.successor @t3)) % 64.15/64.71 (define @t70 () (= @t69 @t1)) % 64.15/64.71 (define @t71 () (tptp.member @t20 tptp.successor_relation)) % 64.15/64.71 (define @t72 () (tptp.member tptp.null_class @t3)) % 64.15/64.71 (define @t73 () (tptp.inductive @t3)) % 64.15/64.71 (define @t74 () (not @t73)) % 64.15/64.71 (define @t75 () (tptp.subclass (tptp.image tptp.successor_relation @t3) @t3)) % 64.15/64.71 (define @t76 () (tptp.sum_class @t3)) % 64.15/64.71 (define @t77 () (@var "Yr" $$unsorted)) % 64.15/64.71 (define @t78 () (tptp.compose @t77 @t50)) % 64.15/64.71 (define @t79 () (tptp.member @t29 (tptp.image @t77 (tptp.image @t50 @t21)))) % 64.15/64.71 (define @t80 () (tptp.ordered_pair @t1 @t29)) % 64.15/64.71 (define @t81 () (tptp.member @t80 @t78)) % 64.15/64.71 (define @t82 () (not (tptp.member @t80 @t35))) % 64.15/64.71 (define @t83 () (tptp.inverse @t3)) % 64.15/64.71 (define @t84 () (tptp.compose @t3 @t83)) % 64.15/64.71 (define @t85 () (tptp.subclass @t84 tptp.identity_relation)) % 64.15/64.71 (define @t86 () (tptp.single_valued_class @t3)) % 64.15/64.71 (define @t87 () (@var "Xf" $$unsorted)) % 64.15/64.71 (define @t88 () (tptp.subclass @t87 @t35)) % 64.15/64.71 (define @t89 () (tptp.function @t87)) % 64.15/64.71 (define @t90 () (not @t89)) % 64.15/64.71 (define @t91 () (@list @t87)) % 64.15/64.71 (define @t92 () (tptp.inverse @t87)) % 64.15/64.71 (define @t93 () (tptp.subclass (tptp.compose @t87 @t92) tptp.identity_relation)) % 64.15/64.71 (define @t94 () (tptp.regular @t3)) % 64.15/64.71 (define @t95 () (= @t3 tptp.null_class)) % 64.15/64.71 (define @t96 () (@list @t87 @t1)) % 64.15/64.71 (define @t97 () (tptp.one_to_one @t87)) % 64.15/64.71 (define @t98 () (not @t97)) % 64.15/64.71 (define @t99 () (tptp.function @t92)) % 64.15/64.71 (define @t100 () (tptp.inverse tptp.element_relation)) % 64.15/64.71 (define @t101 () (tptp.intersection @t35 (tptp.intersection @t35 (tptp.complement (tptp.compose (tptp.complement tptp.element_relation) @t100))))) % 64.15/64.71 (define @t102 () (tptp.inverse tptp.subset_relation)) % 64.15/64.71 (define @t103 () (tptp.intersection @t102 tptp.subset_relation)) % 64.15/64.71 (define @t104 () (tptp.operation @t87)) % 64.15/64.71 (define @t105 () (not @t104)) % 64.15/64.71 (define @t106 () (tptp.domain_of @t87)) % 64.15/64.71 (define @t107 () (tptp.domain_of @t106)) % 64.15/64.71 (define @t108 () (= (tptp.cross_product @t107 @t107) @t106)) % 64.15/64.71 (define @t109 () (tptp.range_of @t87)) % 64.15/64.71 (define @t110 () (tptp.subclass @t109 @t107)) % 64.15/64.71 (define @t111 () (@var "Xh" $$unsorted)) % 64.15/64.71 (define @t112 () (tptp.function @t111)) % 64.15/64.71 (define @t113 () (@var "Xf2" $$unsorted)) % 64.15/64.71 (define @t114 () (@var "Xf1" $$unsorted)) % 64.15/64.71 (define @t115 () (tptp.compatible @t111 @t114 @t113)) % 64.15/64.71 (define @t116 () (not @t115)) % 64.15/64.71 (define @t117 () (@list @t111 @t114 @t113)) % 64.15/64.71 (define @t118 () (tptp.domain_of @t114)) % 64.15/64.71 (define @t119 () (= (tptp.domain_of @t118) (tptp.domain_of @t111))) % 64.15/64.71 (define @t120 () (tptp.subclass (tptp.range_of @t111) (tptp.domain_of (tptp.domain_of @t113)))) % 64.15/64.71 (define @t121 () (tptp.operation @t114)) % 64.15/64.71 (define @t122 () (tptp.homomorphism @t111 @t114 @t113)) % 64.15/64.71 (define @t123 () (not @t122)) % 64.15/64.71 (define @t124 () (tptp.operation @t113)) % 64.15/64.71 (define @t125 () (tptp.not_homomorphism2 @t111 @t114 @t113)) % 64.15/64.71 (define @t126 () (tptp.not_homomorphism1 @t111 @t114 @t113)) % 64.15/64.71 (define @t127 () (tptp.ordered_pair @t126 @t125)) % 64.15/64.71 (define @t128 () (not @t124)) % 64.15/64.71 (define @t129 () (not @t121)) % 64.15/64.71 (define @t130 () (@list @t114 @t113 @t111)) % 64.15/64.71 (define @t131 () (tptp.compose_class @t3)) % 64.15/64.71 (define @t132 () (tptp.compose @t3 @t1)) % 64.15/64.71 (define @t133 () (= @t132 @t29)) % 64.15/64.71 (define @t134 () (tptp.member @t80 @t131)) % 64.15/64.71 (define @t135 () (@list @t1 @t29 @t3)) % 64.15/64.71 (define @t136 () (tptp.cross_product tptp.universal_class @t35)) % 64.15/64.71 (define @t137 () (tptp.ordered_pair @t3 @t80)) % 64.15/64.71 (define @t138 () (@list @t3 @t1 @t29)) % 64.15/64.71 (define @t139 () (tptp.single_valued1 @t3)) % 64.15/64.71 (define @t140 () (tptp.not_subclass_element @t84 tptp.identity_relation)) % 64.15/64.71 (define @t141 () (tptp.single_valued2 @t3)) % 64.15/64.71 (define @t142 () (tptp.complement tptp.identity_relation)) % 64.15/64.71 (define @t143 () (tptp.member @t1 @t52)) % 64.15/64.71 (define @t144 () (not (tptp.member @t137 tptp.application_function))) % 64.15/64.71 (define @t145 () (tptp.apply @t3 @t1)) % 64.15/64.71 (define @t146 () (not (tptp.maps @t87 @t3 @t1))) % 64.15/64.71 (define @t147 () (@list @t87 @t3 @t1)) % 64.15/64.71 (define @t148 () (tptp.subclass @t109 @t1)) % 64.15/64.71 (define @t149 () (tptp.symmetrization_of @t3)) % 64.15/64.71 (define @t150 () (tptp.subclass (tptp.restrict @t3 @t1 @t1) @t142)) % 64.15/64.71 (define @t151 () (tptp.irreflexive @t3 @t1)) % 64.15/64.71 (define @t152 () (tptp.union tptp.identity_relation @t149)) % 64.15/64.71 (define @t153 () (tptp.cross_product @t1 @t1)) % 64.15/64.71 (define @t154 () (tptp.subclass @t153 @t152)) % 64.15/64.71 (define @t155 () (tptp.connected @t3 @t1)) % 64.15/64.71 (define @t156 () (not @t155)) % 64.15/64.71 (define @t157 () (or @t156 @t154)) % 64.15/64.71 (define @t158 () (forall @t10 @t157)) % 64.15/64.71 (define @t159 () (not @t154)) % 64.15/64.71 (define @t160 () (or @t159 @t155)) % 64.15/64.71 (define @t161 () (forall @t18 @t160)) % 64.15/64.71 (define @t162 () (tptp.restrict @t50 @t1 @t1)) % 64.15/64.71 (define @t163 () (tptp.subclass (tptp.compose @t162 @t162) @t162)) % 64.15/64.71 (define @t164 () (tptp.transitive @t50 @t1)) % 64.15/64.71 (define @t165 () (@list @t50 @t1)) % 64.15/64.71 (define @t166 () (= (tptp.restrict (tptp.intersection @t50 (tptp.inverse @t50)) @t1 @t1) tptp.null_class)) % 64.15/64.71 (define @t167 () (tptp.asymmetric @t50 @t1)) % 64.15/64.71 (define @t168 () (@list @t50 @t1 @t29)) % 64.15/64.71 (define @t169 () (tptp.least @t50 @t2)) % 64.15/64.71 (define @t170 () (tptp.member @t169 @t2)) % 64.15/64.71 (define @t171 () (not (tptp.subclass @t2 @t1))) % 64.15/64.71 (define @t172 () (tptp.well_ordering @t50 @t1)) % 64.15/64.71 (define @t173 () (not @t172)) % 64.15/64.71 (define @t174 () (@list @t50 @t1 @t2)) % 64.15/64.71 (define @t175 () (not (tptp.member @t23 @t2))) % 64.15/64.71 (define @t176 () (@list @t50 @t1 @t2 @t23)) % 64.15/64.71 (define @t177 () (tptp.not_well_ordering @t50 @t1)) % 64.15/64.71 (define @t178 () (not (tptp.connected @t50 @t1))) % 64.15/64.71 (define @t179 () (tptp.subclass @t1 @t29)) % 64.15/64.71 (define @t180 () (tptp.section @t50 @t1 @t29)) % 64.15/64.71 (define @t181 () (not @t180)) % 64.15/64.71 (define @t182 () (tptp.subclass (tptp.domain_of (tptp.restrict @t50 @t29 @t1)) @t1)) % 64.15/64.71 (define @t183 () (tptp.well_ordering tptp.element_relation @t3)) % 64.15/64.71 (define @t184 () (tptp.member @t3 tptp.ordinal_numbers)) % 64.15/64.71 (define @t185 () (not @t184)) % 64.15/64.71 (define @t186 () (tptp.subclass @t76 @t3)) % 64.15/64.71 (define @t187 () (not @t186)) % 64.15/64.71 (define @t188 () (not @t183)) % 64.15/64.71 (define @t189 () (tptp.rest_of @t3)) % 64.15/64.71 (define @t190 () (tptp.member @t2 @t52)) % 64.15/64.71 (define @t191 () (tptp.member @t24 @t189)) % 64.15/64.71 (define @t192 () (not @t191)) % 64.15/64.71 (define @t193 () (@list @t2 @t23 @t3)) % 64.15/64.71 (define @t194 () (= (tptp.restrict @t3 @t2 tptp.universal_class) @t23)) % 64.15/64.71 (define @t195 () (tptp.function @t29)) % 64.15/64.71 (define @t196 () (tptp.member @t3 (tptp.recursion_equation_functions @t29))) % 64.15/64.71 (define @t197 () (not @t196)) % 64.15/64.71 (define @t198 () (tptp.function @t3)) % 64.15/64.71 (define @t199 () (tptp.member @t52 tptp.ordinal_numbers)) % 64.15/64.71 (define @t200 () (= (tptp.compose @t29 @t189) @t3)) % 64.15/64.71 (define @t201 () (= (tptp.sum_class (tptp.range_of @t3)) @t1)) % 64.15/64.71 (define @t202 () (tptp.member @t20 tptp.union_of_range_map)) % 64.15/64.71 (define @t203 () (tptp.integer_of @t3)) % 64.15/64.71 (define @t204 () (tptp.member @t3 tptp.omega)) % 64.15/64.71 (define @t205 () (tptp.connected tptp.x tptp.y)) % 64.15/64.71 (define @t206 () (tptp.subclass tptp.z tptp.y)) % 64.15/64.71 (define @t207 () (tptp.connected tptp.x tptp.z)) % 64.15/64.71 (define @t208 () (tptp.union (tptp.intersection (tptp.inverse @t101) @t101) (tptp.symmetrization_of tptp.x))) % 64.15/64.71 (define @t209 () (tptp.cross_product tptp.z tptp.z)) % 64.15/64.71 (define @t210 () (tptp.not_subclass_element @t209 @t208)) % 64.15/64.71 (define @t211 () (tptp.second @t210)) % 64.15/64.71 (define @t212 () (tptp.first @t210)) % 64.15/64.71 (define @t213 () (tptp.cross_product tptp.y tptp.y)) % 64.15/64.71 (define @t214 () (@list @t209 @t208)) % 64.15/64.71 (define @t215 () (tptp.subclass @t209 @t208)) % 64.15/64.71 (define @t216 () (not @t215)) % 64.15/64.71 (define @t217 () (or @t216 @t207)) % 64.15/64.71 (define @t218 () (@list true false)) % 64.15/64.71 (define @t219 () (tptp.member @t210 @t208)) % 64.15/64.71 (define @t220 () (not @t219)) % 64.15/64.71 (define @t221 () (or @t220 @t215)) % 64.15/64.71 (define @t222 () (tptp.subclass @t213 @t208)) % 64.15/64.71 (define @t223 () (not @t205)) % 64.15/64.71 (define @t224 () (or @t223 @t222)) % 64.15/64.71 (define @t225 () (@list false false)) % 64.15/64.71 (define @t226 () (not (tptp.member @t210 @t213))) % 64.15/64.71 (define @t227 () (not @t222)) % 64.15/64.71 (define @t228 () (or @t227 @t226 @t219)) % 64.15/64.71 (define @t229 () (@list false true false)) % 64.15/64.71 (define @t230 () (tptp.member @t210 @t209)) % 64.15/64.71 (define @t231 () (or @t230 @t215)) % 64.15/64.71 (define @t232 () (tptp.ordered_pair @t212 @t211)) % 64.15/64.71 (define @t233 () (= @t210 @t232)) % 64.15/64.71 (define @t234 () (not @t230)) % 64.15/64.71 (define @t235 () (or @t234 @t233)) % 64.15/64.71 (define @t236 () (tptp.member @t232 @t213)) % 64.15/64.71 (define @t237 () (@list @t212 @t211 tptp.z tptp.z)) % 64.15/64.71 (define @t238 () (tptp.member @t232 @t209)) % 64.15/64.71 (define @t239 () (tptp.member @t212 tptp.z)) % 64.15/64.71 (define @t240 () (not @t238)) % 64.15/64.71 (define @t241 () (or @t240 @t239)) % 64.15/64.71 (define @t242 () (tptp.member @t212 tptp.y)) % 64.15/64.71 (define @t243 () (not @t239)) % 64.15/64.71 (define @t244 () (not @t206)) % 64.15/64.71 (define @t245 () (or @t244 @t243 @t242)) % 64.15/64.71 (define @t246 () (tptp.member @t211 tptp.y)) % 64.15/64.71 (define @t247 () (not @t246)) % 64.15/64.71 (define @t248 () (not @t242)) % 64.15/64.71 (define @t249 () (or @t248 @t247 @t236)) % 64.15/64.71 (define @t250 () (tptp.member @t211 tptp.z)) % 64.15/64.71 (define @t251 () (or @t240 @t250)) % 64.15/64.71 (define @t252 () (not @t250)) % 64.15/64.71 (define @t253 () (or @t244 @t252 @t246)) % 64.15/64.71 (define @t254 () (not @t253)) % 64.15/64.71 (assume @p1 @t8) % 64.15/64.71 (assume @p2 (forall @t10 (or (tptp.member @t9 @t3) @t6))) % 64.15/64.71 (assume @p3 (forall @t10 (or (not (tptp.member @t9 @t1)) @t6))) % 64.15/64.71 (assume @p4 (forall @t11 (tptp.subclass @t3 tptp.universal_class))) % 64.15/64.71 (assume @p5 (forall @t10 (or @t13 @t6))) % 64.15/64.71 (assume @p6 (forall @t10 (or @t13 @t14))) % 64.15/64.71 (assume @p7 (forall @t10 (or @t7 (not @t14) @t12))) % 64.15/64.71 (assume @p8 (forall (@list @t2 @t3 @t1) (or (not (tptp.member @t2 @t15)) (= @t2 @t3) (= @t2 @t1)))) % 64.15/64.71 (assume @p9 (forall @t10 (or @t16 (tptp.member @t3 @t15)))) % 64.15/64.71 (assume @p10 (forall @t18 (or @t17 (tptp.member @t1 @t15)))) % 64.15/64.71 (assume @p11 (forall @t10 (tptp.member @t15 tptp.universal_class))) % 64.15/64.71 (assume @p12 (forall @t11 (= (tptp.unordered_pair @t3 @t3) @t19))) % 64.15/64.71 (assume @p13 (forall @t10 (= (tptp.unordered_pair @t19 (tptp.unordered_pair @t3 @t21)) @t20))) % 64.15/64.71 (assume @p14 (forall @t27 (or @t26 @t4))) % 64.15/64.71 (assume @p15 (forall @t27 (or @t26 @t28))) % 64.15/64.71 (assume @p16 (forall (@list @t2 @t3 @t23 @t1) (or @t5 (not @t28) @t25))) % 64.15/64.71 (assume @p17 @t34) % 64.15/64.71 (assume @p18 (tptp.subclass tptp.element_relation @t35)) % 64.15/64.71 (assume @p19 (forall @t10 (or (not @t37) @t36))) % 64.15/64.71 (assume @p20 (forall @t10 (or @t38 (not @t36) @t37))) % 64.15/64.71 (assume @p21 (forall @t33 (or @t42 @t39))) % 64.15/64.71 (assume @p22 (forall @t33 (or @t42 @t43))) % 64.15/64.71 (assume @p23 (forall @t33 (or @t44 (not @t43) @t41))) % 64.15/64.71 (assume @p24 (forall @t47 (or (not @t46) @t44))) % 64.15/64.71 (assume @p25 (forall @t47 (or @t48 @t46 @t39))) % 64.15/64.71 (assume @p26 (forall @t10 (= @t49 (tptp.union @t3 @t1)))) % 64.15/64.71 (assume @p27 (forall @t10 (= (tptp.intersection (tptp.complement @t40) @t49) (tptp.symmetric_difference @t3 @t1)))) % 64.15/64.71 (assume @p28 (forall (@list @t50 @t3 @t1) (= (tptp.intersection @t50 @t22) @t51))) % 64.15/64.71 (assume @p29 (forall (@list @t3 @t1 @t50) (= (tptp.intersection @t22 @t50) @t51))) % 64.15/64.71 (assume @p30 (forall @t56 (or (not @t55) (not @t53)))) % 64.15/64.71 (assume @p31 (forall @t47 (or @t48 @t55 @t53))) % 64.15/64.71 (assume @p32 (forall @t11 (tptp.subclass @t58 @t57))) % 64.15/64.71 (assume @p33 (forall @t63 (or (not @t62) @t60))) % 64.15/64.71 (assume @p34 (forall (@list @t23 @t59 @t2 @t3) (or (not @t60) @t64 @t62))) % 64.15/64.71 (assume @p35 (forall @t11 (tptp.subclass @t65 @t57))) % 64.15/64.71 (assume @p36 (forall @t63 (or (not @t67) @t66))) % 64.15/64.71 (assume @p37 (forall (@list @t23 @t2 @t59 @t3) (or (not @t66) @t64 @t67))) % 64.15/64.71 (assume @p38 (forall @t68 (= (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class))) (tptp.inverse @t1)))) % 64.15/64.71 (assume @p39 (forall (@list @t29) (= (tptp.domain_of (tptp.inverse @t29)) (tptp.range_of @t29)))) % 64.15/64.71 (assume @p40 (forall @t33 (= (tptp.first (tptp.not_subclass_element (tptp.restrict @t29 @t3 @t21) tptp.null_class)) (tptp.domain @t29 @t3 @t1)))) % 64.15/64.71 (assume @p41 (forall @t33 (= (tptp.second (tptp.not_subclass_element (tptp.restrict @t29 @t19 @t1) tptp.null_class)) (tptp.range @t29 @t3 @t1)))) % 64.15/64.71 (assume @p42 (forall (@list @t50 @t3) (= (tptp.range_of (tptp.restrict @t50 @t3 tptp.universal_class)) (tptp.image @t50 @t3)))) % 64.15/64.71 (assume @p43 (forall @t11 (= (tptp.union @t3 @t19) @t69))) % 64.15/64.71 (assume @p44 (tptp.subclass tptp.successor_relation @t35)) % 64.15/64.71 (assume @p45 (forall @t10 (or (not @t71) @t70))) % 64.15/64.71 (assume @p46 (forall @t10 (or (not @t70) @t38 @t71))) % 64.15/64.71 (assume @p47 (forall @t11 (or @t74 @t72))) % 64.15/64.71 (assume @p48 (forall @t11 (or @t74 @t75))) % 64.15/64.71 (assume @p49 (forall @t11 (or (not @t72) (not @t75) @t73))) % 64.15/64.71 (assume @p50 (tptp.inductive tptp.omega)) % 64.15/64.71 (assume @p51 (forall @t68 (or (not (tptp.inductive @t1)) (tptp.subclass tptp.omega @t1)))) % 64.15/64.71 (assume @p52 (tptp.member tptp.omega tptp.universal_class)) % 64.15/64.71 (assume @p53 (forall @t11 (= (tptp.domain_of (tptp.restrict tptp.element_relation tptp.universal_class @t3)) @t76))) % 64.15/64.71 (assume @p54 (forall @t11 (or @t16 (tptp.member @t76 tptp.universal_class)))) % 64.15/64.71 (assume @p55 (forall @t11 (= (tptp.complement (tptp.image tptp.element_relation @t45)) (tptp.power_class @t3)))) % 64.15/64.71 (assume @p56 (forall (@list @t2) (or (not (tptp.member @t2 tptp.universal_class)) (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 64.15/64.71 (assume @p57 (forall (@list @t77 @t50) (tptp.subclass @t78 @t35))) % 64.15/64.71 (assume @p58 (forall (@list @t1 @t29 @t77 @t50) (or (not @t81) @t79))) % 64.15/64.71 (assume @p59 (forall (@list @t29 @t77 @t50 @t1) (or (not @t79) @t82 @t81))) % 64.15/64.71 (assume @p60 (forall @t11 (or (not @t86) @t85))) % 64.15/64.71 (assume @p61 (forall @t11 (or (not @t85) @t86))) % 64.15/64.71 (assume @p62 (forall @t91 (or @t90 @t88))) % 64.15/64.71 (assume @p63 (forall @t91 (or @t90 @t93))) % 64.15/64.71 (assume @p64 (forall @t91 (or (not @t88) (not @t93) @t89))) % 64.15/64.71 (assume @p65 (forall (@list @t87 @t3) (or @t90 @t16 (tptp.member (tptp.image @t87 @t3) tptp.universal_class)))) % 64.15/64.71 (assume @p66 (forall @t11 (or @t95 (tptp.member @t94 @t3)))) % 64.15/64.71 (assume @p67 (forall @t11 (or @t95 (= (tptp.intersection @t3 @t94) tptp.null_class)))) % 64.15/64.71 (assume @p68 (forall @t96 (= (tptp.sum_class (tptp.image @t87 @t21)) (tptp.apply @t87 @t1)))) % 64.15/64.71 (assume @p69 (tptp.function tptp.choice)) % 64.15/64.71 (assume @p70 (forall @t68 (or @t17 (= @t1 tptp.null_class) (tptp.member (tptp.apply tptp.choice @t1) @t1)))) % 64.15/64.71 (assume @p71 (forall @t91 (or @t98 @t89))) % 64.15/64.71 (assume @p72 (forall @t91 (or @t98 @t99))) % 64.15/64.71 (assume @p73 (forall @t91 (or (not @t99) @t90 @t97))) % 64.15/64.71 (assume @p74 (= @t101 tptp.subset_relation)) % 64.15/64.71 (assume @p75 (= @t103 tptp.identity_relation)) % 64.15/64.71 (assume @p76 (forall (@list @t50) (= (tptp.complement (tptp.domain_of (tptp.intersection @t50 tptp.identity_relation))) (tptp.diagonalise @t50)))) % 64.15/64.71 (assume @p77 (forall @t11 (= (tptp.intersection @t52 (tptp.diagonalise (tptp.compose @t100 @t3))) (tptp.cantor @t3)))) % 64.15/64.71 (assume @p78 (forall @t91 (or @t105 @t89))) % 64.15/64.71 (assume @p79 (forall @t91 (or @t105 @t108))) % 64.15/64.71 (assume @p80 (forall @t91 (or @t105 @t110))) % 64.15/64.71 (assume @p81 (forall @t91 (or @t90 (not @t108) (not @t110) @t104))) % 64.15/64.71 (assume @p82 (forall @t117 (or @t116 @t112))) % 64.15/64.71 (assume @p83 (forall @t117 (or @t116 @t119))) % 64.15/64.71 (assume @p84 (forall @t117 (or @t116 @t120))) % 64.15/64.71 (assume @p85 (forall @t117 (or (not @t112) (not @t119) (not @t120) @t115))) % 64.15/64.71 (assume @p86 (forall @t117 (or @t123 @t121))) % 64.15/64.71 (assume @p87 (forall @t117 (or @t123 @t124))) % 64.15/64.71 (assume @p88 (forall @t117 (or @t123 @t115))) % 64.15/64.71 (assume @p89 (forall (@list @t111 @t114 @t113 @t3 @t1) (or @t123 (not (tptp.member @t20 @t118)) (= (tptp.apply @t113 (tptp.ordered_pair (tptp.apply @t111 @t3) (tptp.apply @t111 @t1))) (tptp.apply @t111 (tptp.apply @t114 @t20)))))) % 64.15/64.71 (assume @p90 (forall @t130 (or @t129 @t128 @t116 (tptp.member @t127 @t118) @t122))) % 64.15/64.71 (assume @p91 (forall @t130 (or @t129 @t128 @t116 (not (= (tptp.apply @t113 (tptp.ordered_pair (tptp.apply @t111 @t126) (tptp.apply @t111 @t125))) (tptp.apply @t111 (tptp.apply @t114 @t127)))) @t122))) % 64.15/64.71 (assume @p92 (forall @t11 (tptp.subclass @t131 @t35))) % 64.15/64.71 (assume @p93 (forall @t135 (or (not @t134) @t133))) % 64.15/64.71 (assume @p94 (forall @t135 (or @t82 (not @t133) @t134))) % 64.15/64.71 (assume @p95 (tptp.subclass tptp.composition_function @t136)) % 64.15/64.71 (assume @p96 (forall @t138 (or (not (tptp.member @t137 tptp.composition_function)) @t133))) % 64.15/64.71 (assume @p97 (forall @t10 (or @t38 (tptp.member (tptp.ordered_pair @t3 (tptp.ordered_pair @t1 @t132)) tptp.composition_function)))) % 64.15/64.71 (assume @p98 (tptp.subclass tptp.domain_relation @t35)) % 64.15/64.71 (assume @p99 (forall @t10 (or (not (tptp.member @t20 tptp.domain_relation)) (= @t52 @t1)))) % 64.15/64.71 (assume @p100 (forall @t11 (or @t16 (tptp.member (tptp.ordered_pair @t3 @t52) tptp.domain_relation)))) % 64.15/64.71 (assume @p101 (forall @t11 (= (tptp.first @t140) @t139))) % 64.15/64.71 (assume @p102 (forall @t11 (= (tptp.second @t140) @t141))) % 64.15/64.71 (assume @p103 (forall @t11 (= (tptp.domain @t3 (tptp.image @t83 (tptp.singleton @t139)) @t141) (tptp.single_valued3 @t3)))) % 64.15/64.71 (assume @p104 (= (tptp.intersection (tptp.complement (tptp.compose tptp.element_relation @t142)) tptp.element_relation) tptp.singleton_relation)) % 64.15/64.71 (assume @p105 (tptp.subclass tptp.application_function @t136)) % 64.15/64.71 (assume @p106 (forall @t138 (or @t144 @t143))) % 64.15/64.71 (assume @p107 (forall @t138 (or @t144 (= @t145 @t29)))) % 64.15/64.71 (assume @p108 (forall @t138 (or (not (tptp.member @t137 @t136)) (not @t143) (tptp.member (tptp.ordered_pair @t3 (tptp.ordered_pair @t1 @t145)) tptp.application_function)))) % 64.15/64.71 (assume @p109 (forall @t147 (or @t146 @t89))) % 64.15/64.71 (assume @p110 (forall @t147 (or @t146 (= @t106 @t3)))) % 64.15/64.71 (assume @p111 (forall @t147 (or @t146 @t148))) % 64.15/64.71 (assume @p112 (forall @t96 (or @t90 (not @t148) (tptp.maps @t87 @t106 @t1)))) % 64.15/64.71 (assume @p113 (forall @t11 (= (tptp.union @t3 @t83) @t149))) % 64.15/64.71 (assume @p114 (forall @t10 (or (not @t151) @t150))) % 64.15/64.71 (assume @p115 (forall @t10 (or (not @t150) @t151))) % 64.15/64.71 (assume @p116 @t158) % 64.15/64.71 (assume @p117 @t161) % 64.15/64.71 (assume @p118 (forall @t165 (or (not @t164) @t163))) % 64.15/64.71 (assume @p119 (forall @t165 (or (not @t163) @t164))) % 64.15/64.71 (assume @p120 (forall @t165 (or (not @t167) @t166))) % 64.15/64.71 (assume @p121 (forall @t165 (or (not @t166) @t167))) % 64.15/64.71 (assume @p122 (forall @t168 (= (tptp.segment @t50 @t1 @t29) (tptp.domain_of (tptp.restrict @t50 @t1 @t54))))) % 64.15/64.71 (assume @p123 (forall @t10 (or (not (tptp.well_ordering @t3 @t1)) @t155))) % 64.15/64.71 (assume @p124 (forall @t174 (or @t173 @t171 (= @t2 tptp.null_class) @t170))) % 64.15/64.71 (assume @p125 (forall @t176 (or @t173 @t171 @t175 @t170))) % 64.15/64.71 (assume @p126 (forall @t174 (or @t173 @t171 (= (tptp.segment @t50 @t2 @t169) tptp.null_class)))) % 64.15/64.71 (assume @p127 (forall @t176 (or @t173 @t171 @t175 (not (tptp.member (tptp.ordered_pair @t23 @t169) @t50))))) % 64.15/64.71 (assume @p128 (forall @t165 (or @t178 (not (= @t177 tptp.null_class)) @t172))) % 64.15/64.71 (assume @p129 (forall @t165 (or @t178 (tptp.subclass @t177 @t1) @t172))) % 64.15/64.71 (assume @p130 (forall (@list @t23 @t50 @t1) (or (not (tptp.member @t23 @t177)) (not (= (tptp.segment @t50 @t177 @t23) tptp.null_class)) @t178 @t172))) % 64.15/64.71 (assume @p131 (forall @t168 (or @t181 @t179))) % 64.15/64.71 (assume @p132 (forall @t168 (or @t181 @t182))) % 64.15/64.71 (assume @p133 (forall (@list @t1 @t29 @t50) (or (not @t179) (not @t182) @t180))) % 64.15/64.71 (assume @p134 (forall @t11 (or @t185 @t183))) % 64.15/64.71 (assume @p135 (forall @t11 (or @t185 @t186))) % 64.15/64.71 (assume @p136 (forall @t11 (or @t188 @t187 @t16 @t184))) % 64.15/64.71 (assume @p137 (forall @t11 (or @t188 @t187 @t184 (= @t3 tptp.ordinal_numbers)))) % 64.15/64.71 (assume @p138 (= (tptp.union (tptp.singleton tptp.null_class) (tptp.image tptp.successor_relation tptp.ordinal_numbers)) tptp.kind_1_ordinals)) % 64.15/64.71 (assume @p139 (= (tptp.intersection (tptp.complement tptp.kind_1_ordinals) tptp.ordinal_numbers) tptp.limit_ordinals)) % 64.15/64.71 (assume @p140 (forall @t11 (tptp.subclass @t189 @t35))) % 64.15/64.71 (assume @p141 (forall @t193 (or @t192 @t190))) % 64.15/64.71 (assume @p142 (forall @t193 (or @t192 @t194))) % 64.15/64.71 (assume @p143 (forall (@list @t2 @t3 @t23) (or (not @t190) (not @t194) @t191))) % 64.15/64.71 (assume @p144 (tptp.subclass tptp.rest_relation @t35)) % 64.15/64.71 (assume @p145 (forall @t10 (or (not (tptp.member @t20 tptp.rest_relation)) (= @t189 @t1)))) % 64.15/64.71 (assume @p146 (forall @t11 (or @t16 (tptp.member (tptp.ordered_pair @t3 @t189) tptp.rest_relation)))) % 64.15/64.71 (assume @p147 (forall @t56 (or @t197 @t195))) % 64.15/64.71 (assume @p148 (forall @t56 (or @t197 @t198))) % 64.15/64.71 (assume @p149 (forall @t56 (or @t197 @t199))) % 64.15/64.71 (assume @p150 (forall @t56 (or @t197 @t200))) % 64.15/64.71 (assume @p151 (forall @t47 (or (not @t195) (not @t198) (not @t199) (not @t200) @t196))) % 64.15/64.71 (assume @p152 (tptp.subclass tptp.union_of_range_map @t35)) % 64.15/64.71 (assume @p153 (forall @t10 (or (not @t202) @t201))) % 64.15/64.71 (assume @p154 (forall @t10 (or @t38 (not @t201) @t202))) % 64.15/64.71 (assume @p155 (forall @t10 (= (tptp.apply (tptp.recursion @t3 tptp.successor_relation tptp.union_of_range_map) @t1) (tptp.ordinal_add @t3 @t1)))) % 64.15/64.71 (assume @p156 (forall @t10 (= (tptp.recursion tptp.null_class (tptp.apply tptp.add_relation @t3) tptp.union_of_range_map) (tptp.ordinal_multiply @t3 @t1)))) % 64.15/64.71 (assume @p157 (forall @t11 (or (not @t204) (= @t203 @t3)))) % 64.15/64.71 (assume @p158 (forall @t11 (or @t204 (= @t203 tptp.null_class)))) % 64.15/64.71 (assume @p159 @t205) % 64.15/64.71 (assume @p160 @t206) % 64.15/64.71 (assume @p161 (not @t207)) % 64.15/64.71 (step @p162 :rule instantiate :premises (@p16) :args ((@list @t212 tptp.y @t211 tptp.y))) % 64.15/64.71 (step @p163 :rule instantiate :premises (@p1) :args ((@list @t213 @t208 @t210))) % 64.15/64.71 (step @p164 :rule instantiate :premises (@p3) :args (@t214)) % 64.15/64.71 (step @p165 :rule refl :args (@t155)) % 64.15/64.71 (step @p166 :rule refl :args (@t149)) % 64.15/64.71 (step @p167 :rule symm :premises (@p74)) % 64.15/64.71 (step @p168 :rule cong :premises (@p167) :args (@t102)) % 64.15/64.71 (step @p169 :rule cong :premises (@p168 @p167) :args (@t103)) % 64.15/64.71 (step @p170 :rule refl :args (tptp.identity_relation)) % 64.15/64.71 (step @p171 :rule cong :premises (@p170 @p169) :args ((= tptp.identity_relation @t103))) % 64.15/64.71 (step @p172 :rule symm :premises (@p75)) % 64.15/64.71 (step @p173 :rule eq_resolve :premises (@p172 @p171)) % 64.15/64.71 (step @p174 :rule cong :premises (@p173 @p166) :args (@t152)) % 64.15/64.71 (step @p175 :rule refl :args (@t153)) % 64.15/64.71 (step @p176 :rule cong :premises (@p175 @p174) :args (@t154)) % 64.15/64.71 (step @p177 :rule cong :premises (@p176) :args (@t159)) % 64.15/64.71 (step @p178 :rule nary_cong :premises (@p177 @p165) :args (@t160)) % 64.15/64.71 (step @p179 :rule cong :premises (@p178) :args (@t161)) % 64.15/64.71 (step @p180 :rule eq_resolve :premises (@p117 @p179)) % 64.15/64.71 (step @p181 :rule instantiate :premises (@p180) :args ((@list tptp.z tptp.x))) % 64.15/64.71 (step @p182 :rule cnf_or_pos :args (@t217)) % 64.15/64.71 (step @p183 :rule reordering :premises (@p182) :args ((or @t207 @t216 (not @t217)))) % 64.15/64.71 (step @p184 :rule chain_m_resolution :premises (@p183 @p161 @p181) :args (@t216 @t218 (@list @t207 @t217))) % 64.15/64.71 (step @p185 :rule cnf_or_pos :args (@t221)) % 64.15/64.71 (step @p186 :rule reordering :premises (@p185) :args ((or @t215 @t220 (not @t221)))) % 64.15/64.71 (step @p187 :rule chain_m_resolution :premises (@p186 @p184 @p164) :args (@t220 @t218 (@list @t215 @t221))) % 64.15/64.71 (step @p188 :rule refl :args (@t156)) % 64.15/64.71 (step @p189 :rule nary_cong :premises (@p188 @p176) :args (@t157)) % 64.15/64.71 (step @p190 :rule cong :premises (@p189) :args (@t158)) % 64.15/64.71 (step @p191 :rule eq_resolve :premises (@p116 @p190)) % 64.15/64.71 (step @p192 :rule instantiate :premises (@p191) :args ((@list tptp.x tptp.y))) % 64.15/64.71 (step @p193 :rule cnf_or_pos :args (@t224)) % 64.15/64.71 (step @p194 :rule reordering :premises (@p193) :args ((or @t223 @t222 (not @t224)))) % 64.15/64.71 (step @p195 :rule chain_m_resolution :premises (@p194 @p159 @p192) :args (@t222 @t225 (@list @t205 @t224))) % 64.15/64.71 (step @p196 :rule cnf_or_pos :args (@t228)) % 64.15/64.71 (step @p197 :rule reordering :premises (@p196) :args ((or @t227 @t219 @t226 (not @t228)))) % 64.15/64.71 (step @p198 :rule chain_m_resolution :premises (@p197 @p195 @p187 @p163) :args (@t226 @t229 (@list @t222 @t219 @t228))) % 64.15/64.71 (step @p199 :rule false_intro :premises (@p198)) % 64.15/64.71 (step @p200 :rule refl :args (@t213)) % 64.15/64.71 (step @p201 :rule eq-symm :args (@t30 @t29)) % 64.15/64.71 (step @p202 :rule refl :args (@t31)) % 64.15/64.71 (step @p203 :rule nary_cong :premises (@p202 @p201) :args (@t32)) % 64.15/64.71 (step @p204 :rule cong :premises (@p203) :args (@t34)) % 64.15/64.71 (step @p205 :rule eq_resolve :premises (@p17 @p204)) % 64.15/64.71 (step @p206 :rule instantiate :premises (@p205) :args ((@list @t210 tptp.z tptp.z))) % 64.15/64.71 (step @p207 :rule instantiate :premises (@p2) :args (@t214)) % 64.15/64.71 (step @p208 :rule cnf_or_pos :args (@t231)) % 64.15/64.71 (step @p209 :rule reordering :premises (@p208) :args ((or @t215 @t230 (not @t231)))) % 64.15/64.71 (step @p210 :rule chain_m_resolution :premises (@p209 @p184 @p207) :args (@t230 @t218 (@list @t215 @t231))) % 64.15/64.71 (step @p211 :rule cnf_or_pos :args (@t235)) % 64.15/64.71 (step @p212 :rule reordering :premises (@p211) :args ((or @t234 @t233 (not @t235)))) % 64.15/64.71 (step @p213 :rule chain_m_resolution :premises (@p212 @p210 @p206) :args (@t233 @t225 (@list @t230 @t235))) % 64.15/64.71 (step @p214 :rule symm :premises (@p213)) % 64.15/64.71 (step @p215 :rule cong :premises (@p214 @p200) :args (@t236)) % 64.15/64.71 (step @p216 :rule trans :premises (@p215 @p199)) % 64.15/64.71 (step @p217 :rule false_elim :premises (@p216)) % 64.15/64.71 (step @p218 :rule instantiate :premises (@p1) :args ((@list tptp.z tptp.y @t212))) % 64.15/64.71 (step @p219 :rule instantiate :premises (@p14) :args (@t237)) % 64.15/64.71 (step @p220 :rule true_intro :premises (@p210)) % 64.15/64.71 (step @p221 :rule refl :args (@t209)) % 64.15/64.71 (step @p222 :rule cong :premises (@p214 @p221) :args (@t238)) % 64.15/64.71 (step @p223 :rule trans :premises (@p222 @p220)) % 64.15/64.71 (step @p224 :rule true_elim :premises (@p223)) % 64.15/64.71 (step @p225 :rule cnf_or_pos :args (@t241)) % 64.15/64.71 (step @p226 :rule reordering :premises (@p225) :args ((or @t240 @t239 (not @t241)))) % 64.15/64.71 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p219) :args (@t239 @t225 (@list @t238 @t241))) % 64.15/64.71 (step @p228 :rule cnf_or_pos :args (@t245)) % 64.15/64.71 (step @p229 :rule reordering :premises (@p228) :args ((or @t244 @t243 @t242 (not @t245)))) % 64.15/64.71 (step @p230 :rule chain_m_resolution :premises (@p229 @p160 @p227 @p218) :args (@t242 (@list false false false) (@list @t206 @t239 @t245))) % 64.15/64.71 (step @p231 :rule cnf_or_pos :args (@t249)) % 64.15/64.71 (step @p232 :rule reordering :premises (@p231) :args ((or @t248 @t247 @t236 (not @t249)))) % 64.15/64.71 (step @p233 :rule chain_m_resolution :premises (@p232 @p230 @p217 @p162) :args (@t247 @t229 (@list @t242 @t236 @t249))) % 64.15/64.71 (step @p234 :rule instantiate :premises (@p15) :args (@t237)) % 64.15/64.71 (step @p235 :rule cnf_or_pos :args (@t251)) % 64.15/64.71 (step @p236 :rule reordering :premises (@p235) :args ((or @t240 @t250 (not @t251)))) % 64.15/64.71 (step @p237 :rule chain_m_resolution :premises (@p236 @p224 @p234) :args (@t250 @t225 (@list @t238 @t251))) % 64.15/64.71 (step @p238 :rule cnf_or_pos :args (@t253)) % 64.15/64.71 (step @p239 :rule reordering :premises (@p238) :args ((or @t244 @t252 @t246 @t254))) % 64.15/64.71 (step @p240 :rule chain_m_resolution :premises (@p239 @p160 @p237 @p233) :args (@t254 (@list false false true) (@list @t206 @t250 @t246))) % 64.15/64.71 (assume-push @p247 @t8) % 64.15/64.71 (step @p242 :rule instantiate :premises (@p1) :args ((@list tptp.z tptp.y @t211))) % 64.15/64.71 (step-pop @p248 :rule scope :premises (@p242)) % 64.15/64.71 (step @p243 :rule process_scope :premises (@p248) :args (@t253)) % 64.15/64.71 (step @p245 :rule implies_elim :premises (@p243)) % 64.15/64.71 (step @p246 false :rule chain_m_resolution :premises (@p245 @p240 @p1) :args (false @t218 (@list @t253 @t8))) % 64.15/64.71 ) % 64.15/64.71 % SZS output end Proof % 64.15/64.71 % cvc5 exiting %------------------------------------------------------------------------------