%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM181-1 : TPTP v9.2.1. Bugfixed v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:38:33 AM UTC 2026 % Result : Unsatisfiable 42.12s 42.36s % Output : Proof 42.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM181-1 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 10:43:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/15.93 --- Run --no-e-matching --full-saturate-quant at 6... % 21.71/22.00 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.83/28.08 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.93/34.17 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 42.12/42.36 % SZS status Unsatisfiable % 42.12/42.36 % SZS output start Proof % 42.12/42.37 ( % 42.12/42.37 (declare-sort $$unsorted 0) % 42.12/42.37 (declare-const tptp.integer_of (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.union_of_range_map $$unsorted) % 42.12/42.37 (declare-const tptp.rest_of (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.kind_1_ordinals $$unsorted) % 42.12/42.37 (declare-const tptp.section (-> $$unsorted $$unsorted $$unsorted Bool)) % 42.12/42.37 (declare-const tptp.not_well_ordering (-> $$unsorted $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.least (-> $$unsorted $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.asymmetric (-> $$unsorted $$unsorted Bool)) % 42.12/42.37 (declare-const tptp.transitive (-> $$unsorted $$unsorted Bool)) % 42.12/42.37 (declare-const tptp.irreflexive (-> $$unsorted $$unsorted Bool)) % 42.12/42.37 (declare-const tptp.limit_ordinals $$unsorted) % 42.12/42.37 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.ordinal_multiply (-> $$unsorted $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.not_subclass_element (-> $$unsorted $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.ordinal_numbers $$unsorted) % 42.12/42.37 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.identity_relation $$unsorted) % 42.12/42.37 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.composition_function $$unsorted) % 42.12/42.37 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 42.12/42.37 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.compose_class (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.well_ordering (-> $$unsorted $$unsorted Bool)) % 42.12/42.37 (declare-const tptp.domain_relation $$unsorted) % 42.12/42.37 (declare-const tptp.null_class $$unsorted) % 42.12/42.37 (declare-const tptp.rest_relation $$unsorted) % 42.12/42.37 (declare-const tptp.subset_relation $$unsorted) % 42.12/42.37 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.inductive (-> $$unsorted Bool)) % 42.12/42.37 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.connected (-> $$unsorted $$unsorted Bool)) % 42.12/42.37 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 42.12/42.37 (declare-const tptp.omega $$unsorted) % 42.12/42.37 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 42.12/42.37 (declare-const tptp.universal_class $$unsorted) % 42.12/42.37 (declare-const tptp.not_homomorphism1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.choice $$unsorted) % 42.12/42.37 (declare-const tptp.successor_relation $$unsorted) % 42.12/42.37 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.single_valued2 (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.element_relation $$unsorted) % 42.12/42.37 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.single_valued_class (-> $$unsorted Bool)) % 42.12/42.37 (declare-const tptp.single_valued3 (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.function (-> $$unsorted Bool)) % 42.12/42.37 (declare-const tptp.regular (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.recursion_equation_functions (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.segment (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.diagonalise (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.cantor (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.operation (-> $$unsorted Bool)) % 42.12/42.37 (declare-const tptp.recursion (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.compatible (-> $$unsorted $$unsorted $$unsorted Bool)) % 42.12/42.37 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.not_homomorphism2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.single_valued1 (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.symmetrization_of (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.ordinal_add (-> $$unsorted $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.singleton_relation $$unsorted) % 42.12/42.37 (declare-const tptp.add_relation $$unsorted) % 42.12/42.37 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 42.12/42.37 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 42.12/42.37 (declare-const tptp.application_function $$unsorted) % 42.12/42.37 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 42.12/42.37 (define @t1 () (@var "Y" $$unsorted)) % 42.12/42.37 (define @t2 () (@var "U" $$unsorted)) % 42.12/42.37 (define @t3 () (@var "X" $$unsorted)) % 42.12/42.37 (define @t4 () (tptp.member @t2 @t3)) % 42.12/42.37 (define @t5 () (not @t4)) % 42.12/42.37 (define @t6 () (tptp.subclass @t3 @t1)) % 42.12/42.37 (define @t7 () (not @t6)) % 42.12/42.37 (define @t8 () (tptp.not_subclass_element @t3 @t1)) % 42.12/42.37 (define @t9 () (@list @t3 @t1)) % 42.12/42.37 (define @t10 () (@list @t3)) % 42.12/42.37 (define @t11 () (= @t3 @t1)) % 42.12/42.37 (define @t12 () (not @t11)) % 42.12/42.37 (define @t13 () (tptp.subclass @t1 @t3)) % 42.12/42.37 (define @t14 () (tptp.unordered_pair @t3 @t1)) % 42.12/42.37 (define @t15 () (not (tptp.member @t3 tptp.universal_class))) % 42.12/42.37 (define @t16 () (not (tptp.member @t1 tptp.universal_class))) % 42.12/42.37 (define @t17 () (@list @t1 @t3)) % 42.12/42.37 (define @t18 () (tptp.singleton @t3)) % 42.12/42.37 (define @t19 () (forall @t10 (= (tptp.unordered_pair @t3 @t3) @t18))) % 42.12/42.37 (define @t20 () (tptp.ordered_pair @t3 @t1)) % 42.12/42.37 (define @t21 () (tptp.singleton @t1)) % 42.12/42.37 (define @t22 () (tptp.cross_product @t3 @t1)) % 42.12/42.37 (define @t23 () (@var "V" $$unsorted)) % 42.12/42.37 (define @t24 () (tptp.ordered_pair @t2 @t23)) % 42.12/42.37 (define @t25 () (tptp.member @t24 @t22)) % 42.12/42.37 (define @t26 () (not @t25)) % 42.12/42.37 (define @t27 () (@list @t2 @t23 @t3 @t1)) % 42.12/42.37 (define @t28 () (tptp.member @t23 @t1)) % 42.12/42.37 (define @t29 () (@var "Z" $$unsorted)) % 42.12/42.37 (define @t30 () (@list @t29 @t3 @t1)) % 42.12/42.37 (define @t31 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 42.12/42.37 (define @t32 () (tptp.member @t3 @t1)) % 42.12/42.37 (define @t33 () (tptp.member @t20 tptp.element_relation)) % 42.12/42.37 (define @t34 () (not (tptp.member @t20 @t31))) % 42.12/42.37 (define @t35 () (tptp.member @t29 @t3)) % 42.12/42.37 (define @t36 () (tptp.intersection @t3 @t1)) % 42.12/42.37 (define @t37 () (tptp.member @t29 @t36)) % 42.12/42.37 (define @t38 () (not @t37)) % 42.12/42.37 (define @t39 () (tptp.member @t29 @t1)) % 42.12/42.37 (define @t40 () (not @t35)) % 42.12/42.37 (define @t41 () (tptp.complement @t3)) % 42.12/42.37 (define @t42 () (tptp.member @t29 @t41)) % 42.12/42.37 (define @t43 () (@list @t29 @t3)) % 42.12/42.37 (define @t44 () (not (tptp.member @t29 tptp.universal_class))) % 42.12/42.37 (define @t45 () (tptp.complement (tptp.intersection @t41 (tptp.complement @t1)))) % 42.12/42.37 (define @t46 () (@var "Xr" $$unsorted)) % 42.12/42.37 (define @t47 () (tptp.restrict @t46 @t3 @t1)) % 42.12/42.37 (define @t48 () (tptp.domain_of @t3)) % 42.12/42.37 (define @t49 () (tptp.member @t29 @t48)) % 42.12/42.37 (define @t50 () (tptp.singleton @t29)) % 42.12/42.37 (define @t51 () (= (tptp.restrict @t3 @t50 tptp.universal_class) tptp.null_class)) % 42.12/42.37 (define @t52 () (@list @t3 @t29)) % 42.12/42.37 (define @t53 () (tptp.cross_product @t31 tptp.universal_class)) % 42.12/42.37 (define @t54 () (tptp.rotate @t3)) % 42.12/42.37 (define @t55 () (@var "W" $$unsorted)) % 42.12/42.37 (define @t56 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t23 @t55) @t2) @t3)) % 42.12/42.37 (define @t57 () (tptp.ordered_pair @t24 @t55)) % 42.12/42.37 (define @t58 () (tptp.member @t57 @t54)) % 42.12/42.37 (define @t59 () (@list @t2 @t23 @t55 @t3)) % 42.12/42.37 (define @t60 () (not (tptp.member @t57 @t53))) % 42.12/42.37 (define @t61 () (tptp.flip @t3)) % 42.12/42.37 (define @t62 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t23 @t2) @t55) @t3)) % 42.12/42.37 (define @t63 () (tptp.member @t57 @t61)) % 42.12/42.37 (define @t64 () (@list @t1)) % 42.12/42.37 (define @t65 () (tptp.successor @t3)) % 42.12/42.37 (define @t66 () (= @t65 @t1)) % 42.12/42.37 (define @t67 () (tptp.member @t20 tptp.successor_relation)) % 42.12/42.37 (define @t68 () (tptp.member tptp.null_class @t3)) % 42.12/42.37 (define @t69 () (tptp.inductive @t3)) % 42.12/42.37 (define @t70 () (not @t69)) % 42.12/42.37 (define @t71 () (tptp.subclass (tptp.image tptp.successor_relation @t3) @t3)) % 42.12/42.37 (define @t72 () (tptp.inductive tptp.omega)) % 42.12/42.37 (define @t73 () (tptp.sum_class @t3)) % 42.12/42.37 (define @t74 () (@var "Yr" $$unsorted)) % 42.12/42.37 (define @t75 () (tptp.compose @t74 @t46)) % 42.12/42.37 (define @t76 () (tptp.member @t29 (tptp.image @t74 (tptp.image @t46 @t21)))) % 42.12/42.37 (define @t77 () (tptp.ordered_pair @t1 @t29)) % 42.12/42.37 (define @t78 () (tptp.member @t77 @t75)) % 42.12/42.37 (define @t79 () (not (tptp.member @t77 @t31))) % 42.12/42.37 (define @t80 () (tptp.inverse @t3)) % 42.12/42.37 (define @t81 () (tptp.compose @t3 @t80)) % 42.12/42.37 (define @t82 () (tptp.subclass @t81 tptp.identity_relation)) % 42.12/42.37 (define @t83 () (tptp.single_valued_class @t3)) % 42.12/42.37 (define @t84 () (@var "Xf" $$unsorted)) % 42.12/42.37 (define @t85 () (tptp.subclass @t84 @t31)) % 42.12/42.37 (define @t86 () (tptp.function @t84)) % 42.12/42.37 (define @t87 () (not @t86)) % 42.12/42.37 (define @t88 () (@list @t84)) % 42.12/42.37 (define @t89 () (tptp.inverse @t84)) % 42.12/42.37 (define @t90 () (tptp.subclass (tptp.compose @t84 @t89) tptp.identity_relation)) % 42.12/42.37 (define @t91 () (tptp.regular @t3)) % 42.12/42.37 (define @t92 () (= @t3 tptp.null_class)) % 42.12/42.37 (define @t93 () (@list @t84 @t1)) % 42.12/42.37 (define @t94 () (tptp.one_to_one @t84)) % 42.12/42.37 (define @t95 () (not @t94)) % 42.12/42.37 (define @t96 () (tptp.function @t89)) % 42.12/42.37 (define @t97 () (tptp.inverse tptp.element_relation)) % 42.12/42.37 (define @t98 () (tptp.operation @t84)) % 42.12/42.37 (define @t99 () (not @t98)) % 42.12/42.37 (define @t100 () (tptp.domain_of @t84)) % 42.12/42.37 (define @t101 () (tptp.domain_of @t100)) % 42.12/42.37 (define @t102 () (= (tptp.cross_product @t101 @t101) @t100)) % 42.12/42.37 (define @t103 () (tptp.range_of @t84)) % 42.12/42.37 (define @t104 () (tptp.subclass @t103 @t101)) % 42.12/42.37 (define @t105 () (@var "Xh" $$unsorted)) % 42.12/42.37 (define @t106 () (tptp.function @t105)) % 42.12/42.37 (define @t107 () (@var "Xf2" $$unsorted)) % 42.12/42.37 (define @t108 () (@var "Xf1" $$unsorted)) % 42.12/42.37 (define @t109 () (tptp.compatible @t105 @t108 @t107)) % 42.12/42.37 (define @t110 () (not @t109)) % 42.12/42.37 (define @t111 () (@list @t105 @t108 @t107)) % 42.12/42.37 (define @t112 () (tptp.domain_of @t108)) % 42.12/42.37 (define @t113 () (= (tptp.domain_of @t112) (tptp.domain_of @t105))) % 42.12/42.37 (define @t114 () (tptp.subclass (tptp.range_of @t105) (tptp.domain_of (tptp.domain_of @t107)))) % 42.12/42.37 (define @t115 () (tptp.operation @t108)) % 42.12/42.37 (define @t116 () (tptp.homomorphism @t105 @t108 @t107)) % 42.12/42.37 (define @t117 () (not @t116)) % 42.12/42.37 (define @t118 () (tptp.operation @t107)) % 42.12/42.37 (define @t119 () (tptp.not_homomorphism2 @t105 @t108 @t107)) % 42.12/42.37 (define @t120 () (tptp.not_homomorphism1 @t105 @t108 @t107)) % 42.12/42.37 (define @t121 () (tptp.ordered_pair @t120 @t119)) % 42.12/42.37 (define @t122 () (not @t118)) % 42.12/42.37 (define @t123 () (not @t115)) % 42.12/42.37 (define @t124 () (@list @t108 @t107 @t105)) % 42.12/42.37 (define @t125 () (tptp.compose_class @t3)) % 42.12/42.37 (define @t126 () (tptp.compose @t3 @t1)) % 42.12/42.37 (define @t127 () (= @t126 @t29)) % 42.12/42.37 (define @t128 () (tptp.member @t77 @t125)) % 42.12/42.37 (define @t129 () (@list @t1 @t29 @t3)) % 42.12/42.37 (define @t130 () (tptp.cross_product tptp.universal_class @t31)) % 42.12/42.37 (define @t131 () (tptp.ordered_pair @t3 @t77)) % 42.12/42.37 (define @t132 () (@list @t3 @t1 @t29)) % 42.12/42.37 (define @t133 () (tptp.single_valued1 @t3)) % 42.12/42.37 (define @t134 () (tptp.not_subclass_element @t81 tptp.identity_relation)) % 42.12/42.37 (define @t135 () (tptp.single_valued2 @t3)) % 42.12/42.37 (define @t136 () (tptp.complement tptp.identity_relation)) % 42.12/42.37 (define @t137 () (tptp.member @t1 @t48)) % 42.12/42.37 (define @t138 () (not (tptp.member @t131 tptp.application_function))) % 42.12/42.37 (define @t139 () (tptp.apply @t3 @t1)) % 42.12/42.37 (define @t140 () (not (tptp.maps @t84 @t3 @t1))) % 42.12/42.37 (define @t141 () (@list @t84 @t3 @t1)) % 42.12/42.37 (define @t142 () (tptp.subclass @t103 @t1)) % 42.12/42.37 (define @t143 () (tptp.symmetrization_of @t3)) % 42.12/42.37 (define @t144 () (tptp.subclass (tptp.restrict @t3 @t1 @t1) @t136)) % 42.12/42.37 (define @t145 () (tptp.irreflexive @t3 @t1)) % 42.12/42.37 (define @t146 () (tptp.subclass (tptp.cross_product @t1 @t1) (tptp.union tptp.identity_relation @t143))) % 42.12/42.37 (define @t147 () (tptp.connected @t3 @t1)) % 42.12/42.37 (define @t148 () (tptp.restrict @t46 @t1 @t1)) % 42.12/42.37 (define @t149 () (tptp.subclass (tptp.compose @t148 @t148) @t148)) % 42.12/42.37 (define @t150 () (tptp.transitive @t46 @t1)) % 42.12/42.37 (define @t151 () (@list @t46 @t1)) % 42.12/42.37 (define @t152 () (= (tptp.restrict (tptp.intersection @t46 (tptp.inverse @t46)) @t1 @t1) tptp.null_class)) % 42.12/42.37 (define @t153 () (tptp.asymmetric @t46 @t1)) % 42.12/42.37 (define @t154 () (@list @t46 @t1 @t29)) % 42.12/42.37 (define @t155 () (tptp.least @t46 @t2)) % 42.12/42.37 (define @t156 () (tptp.member @t155 @t2)) % 42.12/42.37 (define @t157 () (not (tptp.subclass @t2 @t1))) % 42.12/42.37 (define @t158 () (tptp.well_ordering @t46 @t1)) % 42.12/42.37 (define @t159 () (not @t158)) % 42.12/42.37 (define @t160 () (@list @t46 @t1 @t2)) % 42.12/42.37 (define @t161 () (not (tptp.member @t23 @t2))) % 42.12/42.37 (define @t162 () (@list @t46 @t1 @t2 @t23)) % 42.12/42.37 (define @t163 () (tptp.not_well_ordering @t46 @t1)) % 42.12/42.37 (define @t164 () (not (tptp.connected @t46 @t1))) % 42.12/42.37 (define @t165 () (tptp.subclass @t1 @t29)) % 42.12/42.37 (define @t166 () (tptp.section @t46 @t1 @t29)) % 42.12/42.37 (define @t167 () (not @t166)) % 42.12/42.37 (define @t168 () (tptp.subclass (tptp.domain_of (tptp.restrict @t46 @t29 @t1)) @t1)) % 42.12/42.37 (define @t169 () (tptp.well_ordering tptp.element_relation @t3)) % 42.12/42.37 (define @t170 () (tptp.member @t3 tptp.ordinal_numbers)) % 42.12/42.37 (define @t171 () (not @t170)) % 42.12/42.37 (define @t172 () (tptp.subclass @t73 @t3)) % 42.12/42.37 (define @t173 () (not @t172)) % 42.12/42.37 (define @t174 () (not @t169)) % 42.12/42.37 (define @t175 () (tptp.image tptp.successor_relation tptp.ordinal_numbers)) % 42.12/42.37 (define @t176 () (tptp.singleton tptp.null_class)) % 42.12/42.37 (define @t177 () (tptp.union @t176 @t175)) % 42.12/42.37 (define @t178 () (tptp.complement tptp.kind_1_ordinals)) % 42.12/42.37 (define @t179 () (tptp.intersection @t178 tptp.ordinal_numbers)) % 42.12/42.37 (define @t180 () (tptp.rest_of @t3)) % 42.12/42.37 (define @t181 () (tptp.member @t2 @t48)) % 42.12/42.37 (define @t182 () (tptp.member @t24 @t180)) % 42.12/42.37 (define @t183 () (not @t182)) % 42.12/42.37 (define @t184 () (@list @t2 @t23 @t3)) % 42.12/42.37 (define @t185 () (= (tptp.restrict @t3 @t2 tptp.universal_class) @t23)) % 42.12/42.37 (define @t186 () (tptp.function @t29)) % 42.12/42.37 (define @t187 () (tptp.member @t3 (tptp.recursion_equation_functions @t29))) % 42.12/42.37 (define @t188 () (not @t187)) % 42.12/42.37 (define @t189 () (tptp.function @t3)) % 42.12/42.37 (define @t190 () (tptp.member @t48 tptp.ordinal_numbers)) % 42.12/42.37 (define @t191 () (= (tptp.compose @t29 @t180) @t3)) % 42.12/42.37 (define @t192 () (= (tptp.sum_class (tptp.range_of @t3)) @t1)) % 42.12/42.37 (define @t193 () (tptp.member @t20 tptp.union_of_range_map)) % 42.12/42.37 (define @t194 () (tptp.integer_of @t3)) % 42.12/42.37 (define @t195 () (tptp.member @t3 tptp.omega)) % 42.12/42.37 (define @t196 () (tptp.member tptp.null_class tptp.limit_ordinals)) % 42.12/42.37 (define @t197 () (tptp.complement @t175)) % 42.12/42.37 (define @t198 () (tptp.unordered_pair tptp.null_class tptp.null_class)) % 42.12/42.37 (define @t199 () (tptp.complement @t198)) % 42.12/42.37 (define @t200 () (@list tptp.omega)) % 42.12/42.37 (define @t201 () (tptp.member tptp.null_class tptp.omega)) % 42.12/42.37 (define @t202 () (not @t72)) % 42.12/42.37 (define @t203 () (or @t202 @t201)) % 42.12/42.37 (define @t204 () (@list false false)) % 42.12/42.37 (define @t205 () (tptp.member tptp.null_class tptp.universal_class)) % 42.12/42.37 (define @t206 () (not @t201)) % 42.12/42.37 (define @t207 () (tptp.subclass tptp.omega tptp.universal_class)) % 42.12/42.37 (define @t208 () (not @t207)) % 42.12/42.37 (define @t209 () (or @t208 @t206 @t205)) % 42.12/42.37 (define @t210 () (tptp.member tptp.null_class @t198)) % 42.12/42.37 (define @t211 () (not @t205)) % 42.12/42.37 (define @t212 () (or @t211 @t210)) % 42.12/42.37 (define @t213 () (not @t210)) % 42.12/42.37 (define @t214 () (tptp.member tptp.null_class @t199)) % 42.12/42.37 (define @t215 () (not @t214)) % 42.12/42.37 (define @t216 () (or @t215 @t213)) % 42.12/42.37 (define @t217 () (not (tptp.member tptp.null_class (tptp.intersection @t199 @t197)))) % 42.12/42.37 (define @t218 () (or @t217 @t214)) % 42.12/42.37 (define @t219 () (= @t198 @t176)) % 42.12/42.37 (define @t220 () (tptp.complement @t176)) % 42.12/42.37 (define @t221 () (tptp.intersection @t220 @t197)) % 42.12/42.37 (define @t222 () (tptp.member tptp.null_class @t221)) % 42.12/42.37 (define @t223 () (tptp.complement @t177)) % 42.12/42.37 (define @t224 () (tptp.member tptp.null_class @t223)) % 42.12/42.37 (define @t225 () (tptp.member tptp.null_class (tptp.intersection @t223 tptp.ordinal_numbers))) % 42.12/42.37 (define @t226 () (not @t225)) % 42.12/42.37 (define @t227 () (or @t226 @t224)) % 42.12/42.37 (define @t228 () (not (tptp.member tptp.null_class @t177))) % 42.12/42.37 (define @t229 () (not @t224)) % 42.12/42.37 (define @t230 () (or @t229 @t228)) % 42.12/42.37 (define @t231 () (tptp.member tptp.null_class (tptp.complement @t221))) % 42.12/42.37 (define @t232 () (or @t211 @t231 @t222)) % 42.12/42.37 (assume @p1 (forall (@list @t3 @t1 @t2) (or @t7 @t5 (tptp.member @t2 @t1)))) % 42.12/42.37 (assume @p2 (forall @t9 (or (tptp.member @t8 @t3) @t6))) % 42.12/42.37 (assume @p3 (forall @t9 (or (not (tptp.member @t8 @t1)) @t6))) % 42.12/42.37 (assume @p4 (forall @t10 (tptp.subclass @t3 tptp.universal_class))) % 42.12/42.37 (assume @p5 (forall @t9 (or @t12 @t6))) % 42.12/42.37 (assume @p6 (forall @t9 (or @t12 @t13))) % 42.12/42.37 (assume @p7 (forall @t9 (or @t7 (not @t13) @t11))) % 42.12/42.37 (assume @p8 (forall (@list @t2 @t3 @t1) (or (not (tptp.member @t2 @t14)) (= @t2 @t3) (= @t2 @t1)))) % 42.12/42.37 (assume @p9 (forall @t9 (or @t15 (tptp.member @t3 @t14)))) % 42.12/42.37 (assume @p10 (forall @t17 (or @t16 (tptp.member @t1 @t14)))) % 42.12/42.37 (assume @p11 (forall @t9 (tptp.member @t14 tptp.universal_class))) % 42.12/42.37 (assume @p12 @t19) % 42.12/42.37 (assume @p13 (forall @t9 (= (tptp.unordered_pair @t18 (tptp.unordered_pair @t3 @t21)) @t20))) % 42.12/42.37 (assume @p14 (forall @t27 (or @t26 @t4))) % 42.12/42.37 (assume @p15 (forall @t27 (or @t26 @t28))) % 42.12/42.37 (assume @p16 (forall (@list @t2 @t3 @t23 @t1) (or @t5 (not @t28) @t25))) % 42.12/42.37 (assume @p17 (forall @t30 (or (not (tptp.member @t29 @t22)) (= (tptp.ordered_pair (tptp.first @t29) (tptp.second @t29)) @t29)))) % 42.12/42.37 (assume @p18 (tptp.subclass tptp.element_relation @t31)) % 42.12/42.37 (assume @p19 (forall @t9 (or (not @t33) @t32))) % 42.12/42.37 (assume @p20 (forall @t9 (or @t34 (not @t32) @t33))) % 42.12/42.37 (assume @p21 (forall @t30 (or @t38 @t35))) % 42.12/42.37 (assume @p22 (forall @t30 (or @t38 @t39))) % 42.12/42.37 (assume @p23 (forall @t30 (or @t40 (not @t39) @t37))) % 42.12/42.37 (assume @p24 (forall @t43 (or (not @t42) @t40))) % 42.12/42.37 (assume @p25 (forall @t43 (or @t44 @t42 @t35))) % 42.12/42.37 (assume @p26 (forall @t9 (= @t45 (tptp.union @t3 @t1)))) % 42.12/42.37 (assume @p27 (forall @t9 (= (tptp.intersection (tptp.complement @t36) @t45) (tptp.symmetric_difference @t3 @t1)))) % 42.12/42.37 (assume @p28 (forall (@list @t46 @t3 @t1) (= (tptp.intersection @t46 @t22) @t47))) % 42.12/42.37 (assume @p29 (forall (@list @t3 @t1 @t46) (= (tptp.intersection @t22 @t46) @t47))) % 42.12/42.37 (assume @p30 (forall @t52 (or (not @t51) (not @t49)))) % 42.12/42.37 (assume @p31 (forall @t43 (or @t44 @t51 @t49))) % 42.12/42.37 (assume @p32 (forall @t10 (tptp.subclass @t54 @t53))) % 42.12/42.37 (assume @p33 (forall @t59 (or (not @t58) @t56))) % 42.12/42.37 (assume @p34 (forall (@list @t23 @t55 @t2 @t3) (or (not @t56) @t60 @t58))) % 42.12/42.37 (assume @p35 (forall @t10 (tptp.subclass @t61 @t53))) % 42.12/42.37 (assume @p36 (forall @t59 (or (not @t63) @t62))) % 42.12/42.37 (assume @p37 (forall (@list @t23 @t2 @t55 @t3) (or (not @t62) @t60 @t63))) % 42.12/42.37 (assume @p38 (forall @t64 (= (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class))) (tptp.inverse @t1)))) % 42.12/42.37 (assume @p39 (forall (@list @t29) (= (tptp.domain_of (tptp.inverse @t29)) (tptp.range_of @t29)))) % 42.12/42.37 (assume @p40 (forall @t30 (= (tptp.first (tptp.not_subclass_element (tptp.restrict @t29 @t3 @t21) tptp.null_class)) (tptp.domain @t29 @t3 @t1)))) % 42.12/42.37 (assume @p41 (forall @t30 (= (tptp.second (tptp.not_subclass_element (tptp.restrict @t29 @t18 @t1) tptp.null_class)) (tptp.range @t29 @t3 @t1)))) % 42.12/42.37 (assume @p42 (forall (@list @t46 @t3) (= (tptp.range_of (tptp.restrict @t46 @t3 tptp.universal_class)) (tptp.image @t46 @t3)))) % 42.12/42.37 (assume @p43 (forall @t10 (= (tptp.union @t3 @t18) @t65))) % 42.12/42.37 (assume @p44 (tptp.subclass tptp.successor_relation @t31)) % 42.12/42.37 (assume @p45 (forall @t9 (or (not @t67) @t66))) % 42.12/42.37 (assume @p46 (forall @t9 (or (not @t66) @t34 @t67))) % 42.12/42.37 (assume @p47 (forall @t10 (or @t70 @t68))) % 42.12/42.37 (assume @p48 (forall @t10 (or @t70 @t71))) % 42.12/42.37 (assume @p49 (forall @t10 (or (not @t68) (not @t71) @t69))) % 42.12/42.37 (assume @p50 @t72) % 42.12/42.37 (assume @p51 (forall @t64 (or (not (tptp.inductive @t1)) (tptp.subclass tptp.omega @t1)))) % 42.12/42.37 (assume @p52 (tptp.member tptp.omega tptp.universal_class)) % 42.12/42.37 (assume @p53 (forall @t10 (= (tptp.domain_of (tptp.restrict tptp.element_relation tptp.universal_class @t3)) @t73))) % 42.12/42.37 (assume @p54 (forall @t10 (or @t15 (tptp.member @t73 tptp.universal_class)))) % 42.12/42.37 (assume @p55 (forall @t10 (= (tptp.complement (tptp.image tptp.element_relation @t41)) (tptp.power_class @t3)))) % 42.12/42.37 (assume @p56 (forall (@list @t2) (or (not (tptp.member @t2 tptp.universal_class)) (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 42.12/42.37 (assume @p57 (forall (@list @t74 @t46) (tptp.subclass @t75 @t31))) % 42.12/42.37 (assume @p58 (forall (@list @t1 @t29 @t74 @t46) (or (not @t78) @t76))) % 42.12/42.37 (assume @p59 (forall (@list @t29 @t74 @t46 @t1) (or (not @t76) @t79 @t78))) % 42.12/42.37 (assume @p60 (forall @t10 (or (not @t83) @t82))) % 42.12/42.37 (assume @p61 (forall @t10 (or (not @t82) @t83))) % 42.12/42.37 (assume @p62 (forall @t88 (or @t87 @t85))) % 42.12/42.37 (assume @p63 (forall @t88 (or @t87 @t90))) % 42.12/42.37 (assume @p64 (forall @t88 (or (not @t85) (not @t90) @t86))) % 42.12/42.37 (assume @p65 (forall (@list @t84 @t3) (or @t87 @t15 (tptp.member (tptp.image @t84 @t3) tptp.universal_class)))) % 42.12/42.37 (assume @p66 (forall @t10 (or @t92 (tptp.member @t91 @t3)))) % 42.12/42.37 (assume @p67 (forall @t10 (or @t92 (= (tptp.intersection @t3 @t91) tptp.null_class)))) % 42.12/42.37 (assume @p68 (forall @t93 (= (tptp.sum_class (tptp.image @t84 @t21)) (tptp.apply @t84 @t1)))) % 42.12/42.37 (assume @p69 (tptp.function tptp.choice)) % 42.12/42.37 (assume @p70 (forall @t64 (or @t16 (= @t1 tptp.null_class) (tptp.member (tptp.apply tptp.choice @t1) @t1)))) % 42.12/42.37 (assume @p71 (forall @t88 (or @t95 @t86))) % 42.12/42.37 (assume @p72 (forall @t88 (or @t95 @t96))) % 42.12/42.37 (assume @p73 (forall @t88 (or (not @t96) @t87 @t94))) % 42.12/42.37 (assume @p74 (= (tptp.intersection @t31 (tptp.intersection @t31 (tptp.complement (tptp.compose (tptp.complement tptp.element_relation) @t97)))) tptp.subset_relation)) % 42.12/42.37 (assume @p75 (= (tptp.intersection (tptp.inverse tptp.subset_relation) tptp.subset_relation) tptp.identity_relation)) % 42.12/42.37 (assume @p76 (forall (@list @t46) (= (tptp.complement (tptp.domain_of (tptp.intersection @t46 tptp.identity_relation))) (tptp.diagonalise @t46)))) % 42.12/42.37 (assume @p77 (forall @t10 (= (tptp.intersection @t48 (tptp.diagonalise (tptp.compose @t97 @t3))) (tptp.cantor @t3)))) % 42.12/42.37 (assume @p78 (forall @t88 (or @t99 @t86))) % 42.12/42.37 (assume @p79 (forall @t88 (or @t99 @t102))) % 42.12/42.37 (assume @p80 (forall @t88 (or @t99 @t104))) % 42.12/42.37 (assume @p81 (forall @t88 (or @t87 (not @t102) (not @t104) @t98))) % 42.12/42.37 (assume @p82 (forall @t111 (or @t110 @t106))) % 42.12/42.37 (assume @p83 (forall @t111 (or @t110 @t113))) % 42.12/42.37 (assume @p84 (forall @t111 (or @t110 @t114))) % 42.12/42.37 (assume @p85 (forall @t111 (or (not @t106) (not @t113) (not @t114) @t109))) % 42.12/42.37 (assume @p86 (forall @t111 (or @t117 @t115))) % 42.12/42.37 (assume @p87 (forall @t111 (or @t117 @t118))) % 42.12/42.37 (assume @p88 (forall @t111 (or @t117 @t109))) % 42.12/42.37 (assume @p89 (forall (@list @t105 @t108 @t107 @t3 @t1) (or @t117 (not (tptp.member @t20 @t112)) (= (tptp.apply @t107 (tptp.ordered_pair (tptp.apply @t105 @t3) (tptp.apply @t105 @t1))) (tptp.apply @t105 (tptp.apply @t108 @t20)))))) % 42.12/42.37 (assume @p90 (forall @t124 (or @t123 @t122 @t110 (tptp.member @t121 @t112) @t116))) % 42.12/42.37 (assume @p91 (forall @t124 (or @t123 @t122 @t110 (not (= (tptp.apply @t107 (tptp.ordered_pair (tptp.apply @t105 @t120) (tptp.apply @t105 @t119))) (tptp.apply @t105 (tptp.apply @t108 @t121)))) @t116))) % 42.12/42.37 (assume @p92 (forall @t10 (tptp.subclass @t125 @t31))) % 42.12/42.37 (assume @p93 (forall @t129 (or (not @t128) @t127))) % 42.12/42.37 (assume @p94 (forall @t129 (or @t79 (not @t127) @t128))) % 42.12/42.37 (assume @p95 (tptp.subclass tptp.composition_function @t130)) % 42.12/42.37 (assume @p96 (forall @t132 (or (not (tptp.member @t131 tptp.composition_function)) @t127))) % 42.12/42.37 (assume @p97 (forall @t9 (or @t34 (tptp.member (tptp.ordered_pair @t3 (tptp.ordered_pair @t1 @t126)) tptp.composition_function)))) % 42.12/42.37 (assume @p98 (tptp.subclass tptp.domain_relation @t31)) % 42.12/42.37 (assume @p99 (forall @t9 (or (not (tptp.member @t20 tptp.domain_relation)) (= @t48 @t1)))) % 42.12/42.37 (assume @p100 (forall @t10 (or @t15 (tptp.member (tptp.ordered_pair @t3 @t48) tptp.domain_relation)))) % 42.12/42.37 (assume @p101 (forall @t10 (= (tptp.first @t134) @t133))) % 42.12/42.37 (assume @p102 (forall @t10 (= (tptp.second @t134) @t135))) % 42.12/42.37 (assume @p103 (forall @t10 (= (tptp.domain @t3 (tptp.image @t80 (tptp.singleton @t133)) @t135) (tptp.single_valued3 @t3)))) % 42.12/42.37 (assume @p104 (= (tptp.intersection (tptp.complement (tptp.compose tptp.element_relation @t136)) tptp.element_relation) tptp.singleton_relation)) % 42.12/42.37 (assume @p105 (tptp.subclass tptp.application_function @t130)) % 42.12/42.37 (assume @p106 (forall @t132 (or @t138 @t137))) % 42.12/42.37 (assume @p107 (forall @t132 (or @t138 (= @t139 @t29)))) % 42.12/42.37 (assume @p108 (forall @t132 (or (not (tptp.member @t131 @t130)) (not @t137) (tptp.member (tptp.ordered_pair @t3 (tptp.ordered_pair @t1 @t139)) tptp.application_function)))) % 42.12/42.37 (assume @p109 (forall @t141 (or @t140 @t86))) % 42.12/42.37 (assume @p110 (forall @t141 (or @t140 (= @t100 @t3)))) % 42.12/42.37 (assume @p111 (forall @t141 (or @t140 @t142))) % 42.12/42.37 (assume @p112 (forall @t93 (or @t87 (not @t142) (tptp.maps @t84 @t100 @t1)))) % 42.12/42.37 (assume @p113 (forall @t10 (= (tptp.union @t3 @t80) @t143))) % 42.12/42.37 (assume @p114 (forall @t9 (or (not @t145) @t144))) % 42.12/42.37 (assume @p115 (forall @t9 (or (not @t144) @t145))) % 42.12/42.37 (assume @p116 (forall @t9 (or (not @t147) @t146))) % 42.12/42.37 (assume @p117 (forall @t17 (or (not @t146) @t147))) % 42.12/42.37 (assume @p118 (forall @t151 (or (not @t150) @t149))) % 42.12/42.37 (assume @p119 (forall @t151 (or (not @t149) @t150))) % 42.12/42.37 (assume @p120 (forall @t151 (or (not @t153) @t152))) % 42.12/42.37 (assume @p121 (forall @t151 (or (not @t152) @t153))) % 42.12/42.37 (assume @p122 (forall @t154 (= (tptp.segment @t46 @t1 @t29) (tptp.domain_of (tptp.restrict @t46 @t1 @t50))))) % 42.12/42.37 (assume @p123 (forall @t9 (or (not (tptp.well_ordering @t3 @t1)) @t147))) % 42.12/42.37 (assume @p124 (forall @t160 (or @t159 @t157 (= @t2 tptp.null_class) @t156))) % 42.12/42.37 (assume @p125 (forall @t162 (or @t159 @t157 @t161 @t156))) % 42.12/42.37 (assume @p126 (forall @t160 (or @t159 @t157 (= (tptp.segment @t46 @t2 @t155) tptp.null_class)))) % 42.12/42.37 (assume @p127 (forall @t162 (or @t159 @t157 @t161 (not (tptp.member (tptp.ordered_pair @t23 @t155) @t46))))) % 42.12/42.37 (assume @p128 (forall @t151 (or @t164 (not (= @t163 tptp.null_class)) @t158))) % 42.12/42.37 (assume @p129 (forall @t151 (or @t164 (tptp.subclass @t163 @t1) @t158))) % 42.12/42.37 (assume @p130 (forall (@list @t23 @t46 @t1) (or (not (tptp.member @t23 @t163)) (not (= (tptp.segment @t46 @t163 @t23) tptp.null_class)) @t164 @t158))) % 42.12/42.37 (assume @p131 (forall @t154 (or @t167 @t165))) % 42.12/42.37 (assume @p132 (forall @t154 (or @t167 @t168))) % 42.12/42.37 (assume @p133 (forall (@list @t1 @t29 @t46) (or (not @t165) (not @t168) @t166))) % 42.12/42.37 (assume @p134 (forall @t10 (or @t171 @t169))) % 42.12/42.37 (assume @p135 (forall @t10 (or @t171 @t172))) % 42.12/42.37 (assume @p136 (forall @t10 (or @t174 @t173 @t15 @t170))) % 42.12/42.37 (assume @p137 (forall @t10 (or @t174 @t173 @t170 (= @t3 tptp.ordinal_numbers)))) % 42.12/42.37 (assume @p138 (= @t177 tptp.kind_1_ordinals)) % 42.12/42.37 (assume @p139 (= @t179 tptp.limit_ordinals)) % 42.12/42.37 (assume @p140 (forall @t10 (tptp.subclass @t180 @t31))) % 42.12/42.37 (assume @p141 (forall @t184 (or @t183 @t181))) % 42.12/42.37 (assume @p142 (forall @t184 (or @t183 @t185))) % 42.12/42.37 (assume @p143 (forall (@list @t2 @t3 @t23) (or (not @t181) (not @t185) @t182))) % 42.12/42.37 (assume @p144 (tptp.subclass tptp.rest_relation @t31)) % 42.12/42.37 (assume @p145 (forall @t9 (or (not (tptp.member @t20 tptp.rest_relation)) (= @t180 @t1)))) % 42.12/42.37 (assume @p146 (forall @t10 (or @t15 (tptp.member (tptp.ordered_pair @t3 @t180) tptp.rest_relation)))) % 42.12/42.37 (assume @p147 (forall @t52 (or @t188 @t186))) % 42.12/42.37 (assume @p148 (forall @t52 (or @t188 @t189))) % 42.12/42.37 (assume @p149 (forall @t52 (or @t188 @t190))) % 42.12/42.37 (assume @p150 (forall @t52 (or @t188 @t191))) % 42.12/42.37 (assume @p151 (forall @t43 (or (not @t186) (not @t189) (not @t190) (not @t191) @t187))) % 42.12/42.37 (assume @p152 (tptp.subclass tptp.union_of_range_map @t31)) % 42.12/42.37 (assume @p153 (forall @t9 (or (not @t193) @t192))) % 42.12/42.37 (assume @p154 (forall @t9 (or @t34 (not @t192) @t193))) % 42.12/42.37 (assume @p155 (forall @t9 (= (tptp.apply (tptp.recursion @t3 tptp.successor_relation tptp.union_of_range_map) @t1) (tptp.ordinal_add @t3 @t1)))) % 42.12/42.37 (assume @p156 (forall @t9 (= (tptp.recursion tptp.null_class (tptp.apply tptp.add_relation @t3) tptp.union_of_range_map) (tptp.ordinal_multiply @t3 @t1)))) % 42.12/42.37 (assume @p157 (forall @t10 (or (not @t195) (= @t194 @t3)))) % 42.12/42.37 (assume @p158 (forall @t10 (or @t195 (= @t194 tptp.null_class)))) % 42.12/42.37 (assume @p159 @t196) % 42.12/42.37 (step @p160 :rule evaluate :args ((= true false))) % 42.12/42.37 (step @p161 :rule instantiate :premises (@p21) :args ((@list tptp.null_class @t199 @t197))) % 42.12/42.37 (step @p162 :rule instantiate :premises (@p24) :args ((@list tptp.null_class @t198))) % 42.12/42.37 (step @p163 :rule instantiate :premises (@p9) :args ((@list tptp.null_class tptp.null_class))) % 42.12/42.37 (step @p164 :rule instantiate :premises (@p1) :args ((@list tptp.omega tptp.universal_class tptp.null_class))) % 42.12/42.37 (step @p165 :rule instantiate :premises (@p4) :args (@t200)) % 42.12/42.37 (step @p166 :rule instantiate :premises (@p47) :args (@t200)) % 42.12/42.37 (step @p167 :rule cnf_or_pos :args (@t203)) % 42.12/42.37 (step @p168 :rule reordering :premises (@p167) :args ((or @t202 @t201 (not @t203)))) % 42.12/42.37 (step @p169 :rule chain_m_resolution :premises (@p168 @p50 @p166) :args (@t201 @t204 (@list @t72 @t203))) % 42.12/42.37 (step @p170 :rule cnf_or_pos :args (@t209)) % 42.12/42.37 (step @p171 :rule reordering :premises (@p170) :args ((or @t206 @t205 @t208 (not @t209)))) % 42.12/42.37 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p165 @p164) :args (@t205 (@list false false false) (@list @t201 @t207 @t209))) % 42.12/42.37 (step @p173 :rule cnf_or_pos :args (@t212)) % 42.12/42.37 (step @p174 :rule reordering :premises (@p173) :args ((or @t211 @t210 (not @t212)))) % 42.12/42.37 (step @p175 :rule chain_m_resolution :premises (@p174 @p172 @p163) :args (@t210 @t204 (@list @t205 @t212))) % 42.12/42.37 (step @p176 :rule cnf_or_pos :args (@t216)) % 42.12/42.37 (step @p177 :rule reordering :premises (@p176) :args ((or @t213 @t215 (not @t216)))) % 42.12/42.37 (step @p178 :rule chain_m_resolution :premises (@p177 @p175 @p162) :args (@t215 @t204 (@list @t210 @t216))) % 42.12/42.37 (step @p179 :rule cnf_or_pos :args (@t218)) % 42.12/42.37 (step @p180 :rule reordering :premises (@p179) :args ((or @t214 @t217 (not @t218)))) % 42.12/42.37 (step @p181 :rule chain_m_resolution :premises (@p180 @p178 @p161) :args (@t217 (@list true false) (@list @t214 @t218))) % 42.12/42.37 (step @p182 :rule false_intro :premises (@p181)) % 42.12/42.37 (step @p183 :rule refl :args (@t197)) % 42.12/42.37 (step @p184 :rule eq-symm :args (@t198 @t176)) % 42.12/42.37 (step @p185 :rule refl :args (@t19)) % 42.12/42.37 (step @p186 :rule cong :premises (@p185 @p184) :args ((=> @t19 @t219))) % 42.12/42.37 (assume-push @p229 @t19) % 42.12/42.37 (step @p188 :rule instantiate :premises (@p12) :args ((@list tptp.null_class))) % 42.12/42.37 (step-pop @p230 :rule scope :premises (@p188)) % 42.12/42.37 (step @p189 :rule process_scope :premises (@p230) :args (@t219)) % 42.12/42.37 (step @p191 :rule eq_resolve :premises (@p189 @p186)) % 42.12/42.37 (step @p192 :rule implies_elim :premises (@p191)) % 42.12/42.37 (step @p193 :rule chain_m_resolution :premises (@p192 @p12) :args ((= @t176 @t198) (@list false) (@list @t19))) % 42.12/42.37 (step @p194 :rule cong :premises (@p193) :args (@t220)) % 42.12/42.37 (step @p195 :rule cong :premises (@p194 @p183) :args (@t221)) % 42.12/42.37 (step @p196 :rule refl :args (tptp.null_class)) % 42.12/42.37 (step @p197 :rule cong :premises (@p196 @p195) :args (@t222)) % 42.12/42.37 (step @p198 :rule instantiate :premises (@p25) :args ((@list tptp.null_class @t221))) % 42.12/42.37 (step @p199 :rule instantiate :premises (@p24) :args ((@list tptp.null_class @t177))) % 42.12/42.37 (step @p200 :rule instantiate :premises (@p21) :args ((@list tptp.null_class @t223 tptp.ordinal_numbers))) % 42.12/42.37 (step @p201 :rule refl :args (tptp.ordinal_numbers)) % 42.12/42.37 (step @p202 :rule symm :premises (@p138)) % 42.12/42.37 (step @p203 :rule cong :premises (@p202) :args (@t178)) % 42.12/42.37 (step @p204 :rule cong :premises (@p203 @p201) :args (@t179)) % 42.12/42.37 (step @p205 :rule refl :args (tptp.limit_ordinals)) % 42.12/42.37 (step @p206 :rule cong :premises (@p205 @p204) :args ((= tptp.limit_ordinals @t179))) % 42.12/42.37 (step @p207 :rule symm :premises (@p139)) % 42.12/42.37 (step @p208 :rule eq_resolve :premises (@p207 @p206)) % 42.12/42.37 (step @p209 :rule cong :premises (@p196 @p208) :args (@t196)) % 42.12/42.37 (step @p210 :rule eq_resolve :premises (@p159 @p209)) % 42.12/42.37 (step @p211 :rule cnf_or_pos :args (@t227)) % 42.12/42.37 (step @p212 :rule reordering :premises (@p211) :args ((or @t226 @t224 (not @t227)))) % 42.12/42.37 (step @p213 :rule chain_m_resolution :premises (@p212 @p210 @p200) :args (@t224 @t204 (@list @t225 @t227))) % 42.12/42.37 (step @p214 :rule cnf_or_pos :args (@t230)) % 42.12/42.37 (step @p215 :rule reordering :premises (@p214) :args ((or @t229 @t228 (not @t230)))) % 42.12/42.37 (step @p216 :rule chain_m_resolution :premises (@p215 @p213 @p199) :args (@t228 @t204 (@list @t224 @t230))) % 42.12/42.37 (step @p217 :rule false_intro :premises (@p216)) % 42.12/42.37 (step @p218 :rule instantiate :premises (@p26) :args ((@list @t176 @t175))) % 42.12/42.37 (step @p219 :rule cong :premises (@p196 @p218) :args (@t231)) % 42.12/42.37 (step @p220 :rule trans :premises (@p219 @p217)) % 42.12/42.37 (step @p221 :rule false_elim :premises (@p220)) % 42.12/42.37 (step @p222 :rule cnf_or_pos :args (@t232)) % 42.12/42.37 (step @p223 :rule reordering :premises (@p222) :args ((or @t211 @t222 @t231 (not @t232)))) % 42.12/42.37 (step @p224 :rule chain_m_resolution :premises (@p223 @p172 @p221 @p198) :args (@t222 (@list false true false) (@list @t205 @t231 @t232))) % 42.12/42.37 (step @p225 :rule true_intro :premises (@p224)) % 42.12/42.37 (step @p226 :rule symm :premises (@p225)) % 42.12/42.37 (step @p227 :rule trans :premises (@p226 @p197 @p182)) % 42.12/42.37 (step @p228 false :rule eq_resolve :premises (@p227 @p160)) % 42.12/42.37 ) % 42.12/42.38 % SZS output end Proof % 42.12/42.38 % cvc5 exiting %------------------------------------------------------------------------------