%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM156-1 : 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 : n016.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 08:38:31 AM UTC 2026 % Result : Unsatisfiable 49.85s 50.19s % Output : Proof 49.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM156-1 : TPTP v9.2.1. Bugfixed v2.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n016.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 10:40:09 EDT 2026 % 0.18/0.35 % CPUTime : % 0.30/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.62/15.88 --- Run --no-e-matching --full-saturate-quant at 6... % 21.74/21.95 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.74/28.01 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.87/34.06 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 49.85/50.19 % SZS status Unsatisfiable % 49.85/50.19 % SZS output start Proof % 49.92/50.20 ( % 49.92/50.20 (declare-sort $$unsorted 0) % 49.92/50.20 (declare-const tptp.integer_of (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.union_of_range_map $$unsorted) % 49.92/50.20 (declare-const tptp.rest_of (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.kind_1_ordinals $$unsorted) % 49.92/50.20 (declare-const tptp.section (-> $$unsorted $$unsorted $$unsorted Bool)) % 49.92/50.20 (declare-const tptp.not_well_ordering (-> $$unsorted $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.least (-> $$unsorted $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.asymmetric (-> $$unsorted $$unsorted Bool)) % 49.92/50.20 (declare-const tptp.transitive (-> $$unsorted $$unsorted Bool)) % 49.92/50.20 (declare-const tptp.irreflexive (-> $$unsorted $$unsorted Bool)) % 49.92/50.20 (declare-const tptp.limit_ordinals $$unsorted) % 49.92/50.20 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.ordinal_multiply (-> $$unsorted $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.not_subclass_element (-> $$unsorted $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.ordinal_numbers $$unsorted) % 49.92/50.20 (declare-const tptp.domain (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.identity_relation $$unsorted) % 49.92/50.20 (declare-const tptp.range (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.composition_function $$unsorted) % 49.92/50.20 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted Bool)) % 49.92/50.20 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.compose_class (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.well_ordering (-> $$unsorted $$unsorted Bool)) % 49.92/50.20 (declare-const tptp.domain_relation $$unsorted) % 49.92/50.20 (declare-const tptp.null_class $$unsorted) % 49.92/50.20 (declare-const tptp.rest_relation $$unsorted) % 49.92/50.20 (declare-const tptp.subset_relation $$unsorted) % 49.92/50.20 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.inductive (-> $$unsorted Bool)) % 49.92/50.20 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.connected (-> $$unsorted $$unsorted Bool)) % 49.92/50.20 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 49.92/50.20 (declare-const tptp.omega $$unsorted) % 49.92/50.20 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 49.92/50.20 (declare-const tptp.universal_class $$unsorted) % 49.92/50.20 (declare-const tptp.not_homomorphism1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.choice $$unsorted) % 49.92/50.20 (declare-const tptp.successor_relation $$unsorted) % 49.92/50.20 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.single_valued2 (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.element_relation $$unsorted) % 49.92/50.20 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.single_valued_class (-> $$unsorted Bool)) % 49.92/50.20 (declare-const tptp.single_valued3 (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.function (-> $$unsorted Bool)) % 49.92/50.20 (declare-const tptp.regular (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.recursion_equation_functions (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.segment (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.diagonalise (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.cantor (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.operation (-> $$unsorted Bool)) % 49.92/50.20 (declare-const tptp.recursion (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.compatible (-> $$unsorted $$unsorted $$unsorted Bool)) % 49.92/50.20 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.not_homomorphism2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.single_valued1 (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.symmetrization_of (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.ordinal_add (-> $$unsorted $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.singleton_relation $$unsorted) % 49.92/50.20 (declare-const tptp.add_relation $$unsorted) % 49.92/50.20 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 49.92/50.20 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 49.92/50.20 (declare-const tptp.application_function $$unsorted) % 49.92/50.20 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 49.92/50.20 (define @t1 () (@var "Y" $$unsorted)) % 49.92/50.20 (define @t2 () (@var "U" $$unsorted)) % 49.92/50.20 (define @t3 () (@var "X" $$unsorted)) % 49.92/50.20 (define @t4 () (tptp.member @t2 @t3)) % 49.92/50.20 (define @t5 () (not @t4)) % 49.92/50.20 (define @t6 () (tptp.subclass @t3 @t1)) % 49.92/50.20 (define @t7 () (not @t6)) % 49.92/50.20 (define @t8 () (tptp.not_subclass_element @t3 @t1)) % 49.92/50.20 (define @t9 () (@list @t3 @t1)) % 49.92/50.20 (define @t10 () (@list @t3)) % 49.92/50.20 (define @t11 () (= @t3 @t1)) % 49.92/50.20 (define @t12 () (not @t11)) % 49.92/50.20 (define @t13 () (tptp.subclass @t1 @t3)) % 49.92/50.20 (define @t14 () (tptp.unordered_pair @t3 @t1)) % 49.92/50.20 (define @t15 () (not (tptp.member @t2 @t14))) % 49.92/50.20 (define @t16 () (or @t15 (= @t2 @t3) (= @t2 @t1))) % 49.92/50.20 (define @t17 () (forall (@list @t2 @t3 @t1) @t16)) % 49.92/50.20 (define @t18 () (not (tptp.member @t3 tptp.universal_class))) % 49.92/50.20 (define @t19 () (not (tptp.member @t1 tptp.universal_class))) % 49.92/50.20 (define @t20 () (@list @t1 @t3)) % 49.92/50.20 (define @t21 () (tptp.singleton @t3)) % 49.92/50.20 (define @t22 () (forall @t10 (= (tptp.unordered_pair @t3 @t3) @t21))) % 49.92/50.20 (define @t23 () (tptp.ordered_pair @t3 @t1)) % 49.92/50.20 (define @t24 () (tptp.singleton @t1)) % 49.92/50.20 (define @t25 () (tptp.cross_product @t3 @t1)) % 49.92/50.20 (define @t26 () (@var "V" $$unsorted)) % 49.92/50.20 (define @t27 () (tptp.ordered_pair @t2 @t26)) % 49.92/50.20 (define @t28 () (tptp.member @t27 @t25)) % 49.92/50.20 (define @t29 () (not @t28)) % 49.92/50.20 (define @t30 () (@list @t2 @t26 @t3 @t1)) % 49.92/50.20 (define @t31 () (tptp.member @t26 @t1)) % 49.92/50.20 (define @t32 () (@var "Z" $$unsorted)) % 49.92/50.20 (define @t33 () (@list @t32 @t3 @t1)) % 49.92/50.20 (define @t34 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 49.92/50.20 (define @t35 () (tptp.member @t3 @t1)) % 49.92/50.20 (define @t36 () (tptp.member @t23 tptp.element_relation)) % 49.92/50.20 (define @t37 () (not (tptp.member @t23 @t34))) % 49.92/50.20 (define @t38 () (tptp.member @t32 @t3)) % 49.92/50.20 (define @t39 () (tptp.intersection @t3 @t1)) % 49.92/50.20 (define @t40 () (tptp.member @t32 @t39)) % 49.92/50.20 (define @t41 () (not @t40)) % 49.92/50.20 (define @t42 () (tptp.member @t32 @t1)) % 49.92/50.20 (define @t43 () (not @t38)) % 49.92/50.20 (define @t44 () (tptp.complement @t3)) % 49.92/50.20 (define @t45 () (tptp.member @t32 @t44)) % 49.92/50.20 (define @t46 () (@list @t32 @t3)) % 49.92/50.20 (define @t47 () (not (tptp.member @t32 tptp.universal_class))) % 49.92/50.20 (define @t48 () (tptp.complement (tptp.intersection @t44 (tptp.complement @t1)))) % 49.92/50.20 (define @t49 () (@var "Xr" $$unsorted)) % 49.92/50.20 (define @t50 () (tptp.restrict @t49 @t3 @t1)) % 49.92/50.20 (define @t51 () (tptp.domain_of @t3)) % 49.92/50.20 (define @t52 () (tptp.member @t32 @t51)) % 49.92/50.20 (define @t53 () (tptp.singleton @t32)) % 49.92/50.20 (define @t54 () (= (tptp.restrict @t3 @t53 tptp.universal_class) tptp.null_class)) % 49.92/50.20 (define @t55 () (@list @t3 @t32)) % 49.92/50.20 (define @t56 () (tptp.cross_product @t34 tptp.universal_class)) % 49.92/50.20 (define @t57 () (tptp.rotate @t3)) % 49.92/50.20 (define @t58 () (@var "W" $$unsorted)) % 49.92/50.20 (define @t59 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t26 @t58) @t2) @t3)) % 49.92/50.20 (define @t60 () (tptp.ordered_pair @t27 @t58)) % 49.92/50.20 (define @t61 () (tptp.member @t60 @t57)) % 49.92/50.20 (define @t62 () (@list @t2 @t26 @t58 @t3)) % 49.92/50.20 (define @t63 () (not (tptp.member @t60 @t56))) % 49.92/50.20 (define @t64 () (tptp.flip @t3)) % 49.92/50.20 (define @t65 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t26 @t2) @t58) @t3)) % 49.92/50.20 (define @t66 () (tptp.member @t60 @t64)) % 49.92/50.20 (define @t67 () (@list @t1)) % 49.92/50.20 (define @t68 () (tptp.successor @t3)) % 49.92/50.20 (define @t69 () (= @t68 @t1)) % 49.92/50.20 (define @t70 () (tptp.member @t23 tptp.successor_relation)) % 49.92/50.20 (define @t71 () (tptp.member tptp.null_class @t3)) % 49.92/50.20 (define @t72 () (tptp.inductive @t3)) % 49.92/50.20 (define @t73 () (not @t72)) % 49.92/50.20 (define @t74 () (tptp.subclass (tptp.image tptp.successor_relation @t3) @t3)) % 49.92/50.20 (define @t75 () (tptp.sum_class @t3)) % 49.92/50.20 (define @t76 () (@var "Yr" $$unsorted)) % 49.92/50.20 (define @t77 () (tptp.compose @t76 @t49)) % 49.92/50.20 (define @t78 () (tptp.member @t32 (tptp.image @t76 (tptp.image @t49 @t24)))) % 49.92/50.20 (define @t79 () (tptp.ordered_pair @t1 @t32)) % 49.92/50.20 (define @t80 () (tptp.member @t79 @t77)) % 49.92/50.20 (define @t81 () (not (tptp.member @t79 @t34))) % 49.92/50.20 (define @t82 () (tptp.inverse @t3)) % 49.92/50.20 (define @t83 () (tptp.compose @t3 @t82)) % 49.92/50.20 (define @t84 () (tptp.subclass @t83 tptp.identity_relation)) % 49.92/50.20 (define @t85 () (tptp.single_valued_class @t3)) % 49.92/50.20 (define @t86 () (@var "Xf" $$unsorted)) % 49.92/50.20 (define @t87 () (tptp.subclass @t86 @t34)) % 49.92/50.20 (define @t88 () (tptp.function @t86)) % 49.92/50.20 (define @t89 () (not @t88)) % 49.92/50.20 (define @t90 () (@list @t86)) % 49.92/50.20 (define @t91 () (tptp.inverse @t86)) % 49.92/50.20 (define @t92 () (tptp.subclass (tptp.compose @t86 @t91) tptp.identity_relation)) % 49.92/50.20 (define @t93 () (tptp.regular @t3)) % 49.92/50.20 (define @t94 () (= @t3 tptp.null_class)) % 49.92/50.20 (define @t95 () (@list @t86 @t1)) % 49.92/50.20 (define @t96 () (forall @t95 (= (tptp.sum_class (tptp.image @t86 @t24)) (tptp.apply @t86 @t1)))) % 49.92/50.20 (define @t97 () (tptp.function tptp.choice)) % 49.92/50.20 (define @t98 () (forall @t67 (or @t19 (= @t1 tptp.null_class) (tptp.member (tptp.apply tptp.choice @t1) @t1)))) % 49.92/50.20 (define @t99 () (tptp.one_to_one @t86)) % 49.92/50.20 (define @t100 () (not @t99)) % 49.92/50.20 (define @t101 () (tptp.function @t91)) % 49.92/50.20 (define @t102 () (tptp.inverse tptp.element_relation)) % 49.92/50.20 (define @t103 () (tptp.operation @t86)) % 49.92/50.20 (define @t104 () (not @t103)) % 49.92/50.20 (define @t105 () (tptp.domain_of @t86)) % 49.92/50.20 (define @t106 () (tptp.domain_of @t105)) % 49.92/50.20 (define @t107 () (= (tptp.cross_product @t106 @t106) @t105)) % 49.92/50.20 (define @t108 () (tptp.range_of @t86)) % 49.92/50.20 (define @t109 () (tptp.subclass @t108 @t106)) % 49.92/50.20 (define @t110 () (@var "Xh" $$unsorted)) % 49.92/50.20 (define @t111 () (tptp.function @t110)) % 49.92/50.20 (define @t112 () (@var "Xf2" $$unsorted)) % 49.92/50.20 (define @t113 () (@var "Xf1" $$unsorted)) % 49.92/50.20 (define @t114 () (tptp.compatible @t110 @t113 @t112)) % 49.92/50.20 (define @t115 () (not @t114)) % 49.92/50.20 (define @t116 () (@list @t110 @t113 @t112)) % 49.92/50.20 (define @t117 () (tptp.domain_of @t113)) % 49.92/50.20 (define @t118 () (= (tptp.domain_of @t117) (tptp.domain_of @t110))) % 49.92/50.20 (define @t119 () (tptp.subclass (tptp.range_of @t110) (tptp.domain_of (tptp.domain_of @t112)))) % 49.92/50.20 (define @t120 () (tptp.operation @t113)) % 49.92/50.20 (define @t121 () (tptp.homomorphism @t110 @t113 @t112)) % 49.92/50.20 (define @t122 () (not @t121)) % 49.92/50.20 (define @t123 () (tptp.operation @t112)) % 49.92/50.20 (define @t124 () (tptp.not_homomorphism2 @t110 @t113 @t112)) % 49.92/50.20 (define @t125 () (tptp.not_homomorphism1 @t110 @t113 @t112)) % 49.92/50.20 (define @t126 () (tptp.ordered_pair @t125 @t124)) % 49.92/50.20 (define @t127 () (not @t123)) % 49.92/50.20 (define @t128 () (not @t120)) % 49.92/50.20 (define @t129 () (@list @t113 @t112 @t110)) % 49.92/50.20 (define @t130 () (tptp.compose_class @t3)) % 49.92/50.20 (define @t131 () (tptp.compose @t3 @t1)) % 49.92/50.20 (define @t132 () (= @t131 @t32)) % 49.92/50.20 (define @t133 () (tptp.member @t79 @t130)) % 49.92/50.20 (define @t134 () (@list @t1 @t32 @t3)) % 49.92/50.20 (define @t135 () (tptp.cross_product tptp.universal_class @t34)) % 49.92/50.20 (define @t136 () (tptp.ordered_pair @t3 @t79)) % 49.92/50.20 (define @t137 () (@list @t3 @t1 @t32)) % 49.92/50.20 (define @t138 () (tptp.single_valued1 @t3)) % 49.92/50.20 (define @t139 () (tptp.not_subclass_element @t83 tptp.identity_relation)) % 49.92/50.20 (define @t140 () (tptp.single_valued2 @t3)) % 49.92/50.20 (define @t141 () (tptp.complement tptp.identity_relation)) % 49.92/50.20 (define @t142 () (tptp.member @t1 @t51)) % 49.92/50.20 (define @t143 () (not (tptp.member @t136 tptp.application_function))) % 49.92/50.20 (define @t144 () (tptp.apply @t3 @t1)) % 49.92/50.20 (define @t145 () (not (tptp.maps @t86 @t3 @t1))) % 49.92/50.20 (define @t146 () (@list @t86 @t3 @t1)) % 49.92/50.20 (define @t147 () (tptp.subclass @t108 @t1)) % 49.92/50.20 (define @t148 () (tptp.symmetrization_of @t3)) % 49.92/50.20 (define @t149 () (tptp.subclass (tptp.restrict @t3 @t1 @t1) @t141)) % 49.92/50.20 (define @t150 () (tptp.irreflexive @t3 @t1)) % 49.92/50.20 (define @t151 () (tptp.subclass (tptp.cross_product @t1 @t1) (tptp.union tptp.identity_relation @t148))) % 49.92/50.20 (define @t152 () (tptp.connected @t3 @t1)) % 49.92/50.20 (define @t153 () (tptp.restrict @t49 @t1 @t1)) % 49.92/50.20 (define @t154 () (tptp.subclass (tptp.compose @t153 @t153) @t153)) % 49.92/50.20 (define @t155 () (tptp.transitive @t49 @t1)) % 49.92/50.20 (define @t156 () (@list @t49 @t1)) % 49.92/50.20 (define @t157 () (= (tptp.restrict (tptp.intersection @t49 (tptp.inverse @t49)) @t1 @t1) tptp.null_class)) % 49.92/50.20 (define @t158 () (tptp.asymmetric @t49 @t1)) % 49.92/50.20 (define @t159 () (@list @t49 @t1 @t32)) % 49.92/50.20 (define @t160 () (tptp.least @t49 @t2)) % 49.92/50.20 (define @t161 () (tptp.member @t160 @t2)) % 49.92/50.20 (define @t162 () (not (tptp.subclass @t2 @t1))) % 49.92/50.20 (define @t163 () (tptp.well_ordering @t49 @t1)) % 49.92/50.20 (define @t164 () (not @t163)) % 49.92/50.20 (define @t165 () (@list @t49 @t1 @t2)) % 49.92/50.20 (define @t166 () (not (tptp.member @t26 @t2))) % 49.92/50.20 (define @t167 () (@list @t49 @t1 @t2 @t26)) % 49.92/50.20 (define @t168 () (tptp.not_well_ordering @t49 @t1)) % 49.92/50.20 (define @t169 () (not (tptp.connected @t49 @t1))) % 49.92/50.20 (define @t170 () (tptp.subclass @t1 @t32)) % 49.92/50.20 (define @t171 () (tptp.section @t49 @t1 @t32)) % 49.92/50.20 (define @t172 () (not @t171)) % 49.92/50.20 (define @t173 () (tptp.subclass (tptp.domain_of (tptp.restrict @t49 @t32 @t1)) @t1)) % 49.92/50.20 (define @t174 () (tptp.well_ordering tptp.element_relation @t3)) % 49.92/50.20 (define @t175 () (tptp.member @t3 tptp.ordinal_numbers)) % 49.92/50.20 (define @t176 () (not @t175)) % 49.92/50.20 (define @t177 () (tptp.subclass @t75 @t3)) % 49.92/50.20 (define @t178 () (not @t177)) % 49.92/50.20 (define @t179 () (not @t174)) % 49.92/50.20 (define @t180 () (tptp.image tptp.successor_relation tptp.ordinal_numbers)) % 49.92/50.20 (define @t181 () (tptp.singleton tptp.null_class)) % 49.92/50.20 (define @t182 () (tptp.rest_of @t3)) % 49.92/50.20 (define @t183 () (tptp.member @t2 @t51)) % 49.92/50.20 (define @t184 () (tptp.member @t27 @t182)) % 49.92/50.20 (define @t185 () (not @t184)) % 49.92/50.20 (define @t186 () (@list @t2 @t26 @t3)) % 49.92/50.20 (define @t187 () (= (tptp.restrict @t3 @t2 tptp.universal_class) @t26)) % 49.92/50.20 (define @t188 () (tptp.function @t32)) % 49.92/50.20 (define @t189 () (tptp.member @t3 (tptp.recursion_equation_functions @t32))) % 49.92/50.20 (define @t190 () (not @t189)) % 49.92/50.20 (define @t191 () (tptp.function @t3)) % 49.92/50.20 (define @t192 () (tptp.member @t51 tptp.ordinal_numbers)) % 49.92/50.20 (define @t193 () (= (tptp.compose @t32 @t182) @t3)) % 49.92/50.20 (define @t194 () (= (tptp.sum_class (tptp.range_of @t3)) @t1)) % 49.92/50.20 (define @t195 () (tptp.member @t23 tptp.union_of_range_map)) % 49.92/50.20 (define @t196 () (tptp.integer_of @t3)) % 49.92/50.20 (define @t197 () (tptp.member @t3 tptp.omega)) % 49.92/50.20 (define @t198 () (tptp.member tptp.null_class tptp.kind_1_ordinals)) % 49.92/50.20 (define @t199 () (not @t198)) % 49.92/50.20 (define @t200 () (tptp.unordered_pair tptp.null_class tptp.null_class)) % 49.92/50.20 (define @t201 () (= @t200 @t181)) % 49.92/50.20 (define @t202 () (@list tptp.null_class)) % 49.92/50.20 (define @t203 () (= @t181 @t200)) % 49.92/50.20 (define @t204 () (@list false)) % 49.92/50.20 (define @t205 () (@list @t22)) % 49.92/50.20 (define @t206 () (@list tptp.null_class tptp.null_class)) % 49.92/50.20 (define @t207 () (tptp.member tptp.null_class @t200)) % 49.92/50.20 (define @t208 () (tptp.member tptp.null_class tptp.universal_class)) % 49.92/50.20 (define @t209 () (not @t208)) % 49.92/50.20 (define @t210 () (or @t209 @t207)) % 49.92/50.20 (define @t211 () (tptp.complement @t180)) % 49.92/50.20 (define @t212 () (tptp.complement @t181)) % 49.92/50.20 (define @t213 () (tptp.intersection @t212 @t211)) % 49.92/50.20 (define @t214 () (tptp.member tptp.null_class (tptp.complement @t213))) % 49.92/50.20 (define @t215 () (tptp.member tptp.null_class @t213)) % 49.92/50.20 (define @t216 () (or @t209 @t214 @t215)) % 49.92/50.20 (define @t217 () (not @t207)) % 49.92/50.20 (define @t218 () (tptp.member tptp.null_class (tptp.complement @t200))) % 49.92/50.20 (define @t219 () (not @t218)) % 49.92/50.20 (define @t220 () (or @t219 @t217)) % 49.92/50.20 (define @t221 () (tptp.member tptp.null_class @t212)) % 49.92/50.20 (define @t222 () (not @t215)) % 49.92/50.20 (define @t223 () (or @t222 @t221)) % 49.92/50.20 (define @t224 () (not @t221)) % 49.92/50.20 (define @t225 () (not @t203)) % 49.92/50.20 (define @t226 () (and @t203 @t219)) % 49.92/50.20 (define @t227 () (tptp.apply tptp.choice @t200)) % 49.92/50.20 (define @t228 () (tptp.member @t227 @t200)) % 49.92/50.20 (define @t229 () (tptp.member @t200 tptp.universal_class)) % 49.92/50.20 (define @t230 () (not @t229)) % 49.92/50.20 (define @t231 () (or @t230 (= @t200 tptp.null_class) @t228)) % 49.92/50.20 (define @t232 () (@list @t200)) % 49.92/50.20 (define @t233 () (= tptp.null_class @t200)) % 49.92/50.20 (define @t234 () (or @t230 @t233 @t228)) % 49.92/50.20 (define @t235 () (tptp.singleton @t200)) % 49.92/50.20 (define @t236 () (tptp.image tptp.choice @t235)) % 49.92/50.20 (define @t237 () (tptp.unordered_pair @t200 @t200)) % 49.92/50.20 (define @t238 () (= @t237 @t235)) % 49.92/50.20 (define @t239 () (tptp.member @t235 tptp.universal_class)) % 49.92/50.20 (define @t240 () (tptp.member @t236 tptp.universal_class)) % 49.92/50.20 (define @t241 () (not @t239)) % 49.92/50.20 (define @t242 () (not @t97)) % 49.92/50.20 (define @t243 () (or @t242 @t241 @t240)) % 49.92/50.20 (define @t244 () (tptp.sum_class @t236)) % 49.92/50.20 (define @t245 () (tptp.member @t244 tptp.universal_class)) % 49.92/50.20 (define @t246 () (not @t240)) % 49.92/50.20 (define @t247 () (or @t246 @t245)) % 49.92/50.20 (define @t248 () (= @t244 @t227)) % 49.92/50.20 (define @t249 () (@list tptp.choice @t200)) % 49.92/50.20 (define @t250 () (= @t227 @t244)) % 49.92/50.20 (define @t251 () (not @t245)) % 49.92/50.20 (define @t252 () (not @t250)) % 49.92/50.20 (define @t253 () (= tptp.null_class @t227)) % 49.92/50.20 (define @t254 () (not @t253)) % 49.92/50.20 (define @t255 () (not @t209)) % 49.92/50.20 (define @t256 () (= true false)) % 49.92/50.20 (define @t257 () (not @t228)) % 49.92/50.20 (define @t258 () (or @t257 @t253 @t253)) % 49.92/50.20 (define @t259 () (not @t233)) % 49.92/50.20 (define @t260 () (and @t209 @t233 @t203 @t229)) % 49.92/50.20 (assume @p1 (forall (@list @t3 @t1 @t2) (or @t7 @t5 (tptp.member @t2 @t1)))) % 49.92/50.20 (assume @p2 (forall @t9 (or (tptp.member @t8 @t3) @t6))) % 49.92/50.20 (assume @p3 (forall @t9 (or (not (tptp.member @t8 @t1)) @t6))) % 49.92/50.20 (assume @p4 (forall @t10 (tptp.subclass @t3 tptp.universal_class))) % 49.92/50.20 (assume @p5 (forall @t9 (or @t12 @t6))) % 49.92/50.20 (assume @p6 (forall @t9 (or @t12 @t13))) % 49.92/50.20 (assume @p7 (forall @t9 (or @t7 (not @t13) @t11))) % 49.92/50.20 (assume @p8 @t17) % 49.92/50.20 (assume @p9 (forall @t9 (or @t18 (tptp.member @t3 @t14)))) % 49.92/50.20 (assume @p10 (forall @t20 (or @t19 (tptp.member @t1 @t14)))) % 49.92/50.20 (assume @p11 (forall @t9 (tptp.member @t14 tptp.universal_class))) % 49.92/50.20 (assume @p12 @t22) % 49.92/50.20 (assume @p13 (forall @t9 (= (tptp.unordered_pair @t21 (tptp.unordered_pair @t3 @t24)) @t23))) % 49.92/50.20 (assume @p14 (forall @t30 (or @t29 @t4))) % 49.92/50.20 (assume @p15 (forall @t30 (or @t29 @t31))) % 49.92/50.20 (assume @p16 (forall (@list @t2 @t3 @t26 @t1) (or @t5 (not @t31) @t28))) % 49.92/50.20 (assume @p17 (forall @t33 (or (not (tptp.member @t32 @t25)) (= (tptp.ordered_pair (tptp.first @t32) (tptp.second @t32)) @t32)))) % 49.92/50.20 (assume @p18 (tptp.subclass tptp.element_relation @t34)) % 49.92/50.20 (assume @p19 (forall @t9 (or (not @t36) @t35))) % 49.92/50.20 (assume @p20 (forall @t9 (or @t37 (not @t35) @t36))) % 49.92/50.20 (assume @p21 (forall @t33 (or @t41 @t38))) % 49.92/50.20 (assume @p22 (forall @t33 (or @t41 @t42))) % 49.92/50.20 (assume @p23 (forall @t33 (or @t43 (not @t42) @t40))) % 49.92/50.20 (assume @p24 (forall @t46 (or (not @t45) @t43))) % 49.92/50.20 (assume @p25 (forall @t46 (or @t47 @t45 @t38))) % 49.92/50.20 (assume @p26 (forall @t9 (= @t48 (tptp.union @t3 @t1)))) % 49.92/50.20 (assume @p27 (forall @t9 (= (tptp.intersection (tptp.complement @t39) @t48) (tptp.symmetric_difference @t3 @t1)))) % 49.92/50.20 (assume @p28 (forall (@list @t49 @t3 @t1) (= (tptp.intersection @t49 @t25) @t50))) % 49.92/50.20 (assume @p29 (forall (@list @t3 @t1 @t49) (= (tptp.intersection @t25 @t49) @t50))) % 49.92/50.20 (assume @p30 (forall @t55 (or (not @t54) (not @t52)))) % 49.92/50.20 (assume @p31 (forall @t46 (or @t47 @t54 @t52))) % 49.92/50.20 (assume @p32 (forall @t10 (tptp.subclass @t57 @t56))) % 49.92/50.20 (assume @p33 (forall @t62 (or (not @t61) @t59))) % 49.92/50.20 (assume @p34 (forall (@list @t26 @t58 @t2 @t3) (or (not @t59) @t63 @t61))) % 49.92/50.20 (assume @p35 (forall @t10 (tptp.subclass @t64 @t56))) % 49.92/50.20 (assume @p36 (forall @t62 (or (not @t66) @t65))) % 49.92/50.20 (assume @p37 (forall (@list @t26 @t2 @t58 @t3) (or (not @t65) @t63 @t66))) % 49.92/50.20 (assume @p38 (forall @t67 (= (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class))) (tptp.inverse @t1)))) % 49.92/50.20 (assume @p39 (forall (@list @t32) (= (tptp.domain_of (tptp.inverse @t32)) (tptp.range_of @t32)))) % 49.92/50.20 (assume @p40 (forall @t33 (= (tptp.first (tptp.not_subclass_element (tptp.restrict @t32 @t3 @t24) tptp.null_class)) (tptp.domain @t32 @t3 @t1)))) % 49.92/50.20 (assume @p41 (forall @t33 (= (tptp.second (tptp.not_subclass_element (tptp.restrict @t32 @t21 @t1) tptp.null_class)) (tptp.range @t32 @t3 @t1)))) % 49.92/50.20 (assume @p42 (forall (@list @t49 @t3) (= (tptp.range_of (tptp.restrict @t49 @t3 tptp.universal_class)) (tptp.image @t49 @t3)))) % 49.92/50.20 (assume @p43 (forall @t10 (= (tptp.union @t3 @t21) @t68))) % 49.92/50.20 (assume @p44 (tptp.subclass tptp.successor_relation @t34)) % 49.92/50.20 (assume @p45 (forall @t9 (or (not @t70) @t69))) % 49.92/50.20 (assume @p46 (forall @t9 (or (not @t69) @t37 @t70))) % 49.92/50.20 (assume @p47 (forall @t10 (or @t73 @t71))) % 49.92/50.20 (assume @p48 (forall @t10 (or @t73 @t74))) % 49.92/50.20 (assume @p49 (forall @t10 (or (not @t71) (not @t74) @t72))) % 49.92/50.20 (assume @p50 (tptp.inductive tptp.omega)) % 49.92/50.20 (assume @p51 (forall @t67 (or (not (tptp.inductive @t1)) (tptp.subclass tptp.omega @t1)))) % 49.92/50.20 (assume @p52 (tptp.member tptp.omega tptp.universal_class)) % 49.92/50.20 (assume @p53 (forall @t10 (= (tptp.domain_of (tptp.restrict tptp.element_relation tptp.universal_class @t3)) @t75))) % 49.92/50.20 (assume @p54 (forall @t10 (or @t18 (tptp.member @t75 tptp.universal_class)))) % 49.92/50.20 (assume @p55 (forall @t10 (= (tptp.complement (tptp.image tptp.element_relation @t44)) (tptp.power_class @t3)))) % 49.92/50.20 (assume @p56 (forall (@list @t2) (or (not (tptp.member @t2 tptp.universal_class)) (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 49.92/50.20 (assume @p57 (forall (@list @t76 @t49) (tptp.subclass @t77 @t34))) % 49.92/50.20 (assume @p58 (forall (@list @t1 @t32 @t76 @t49) (or (not @t80) @t78))) % 49.92/50.20 (assume @p59 (forall (@list @t32 @t76 @t49 @t1) (or (not @t78) @t81 @t80))) % 49.92/50.20 (assume @p60 (forall @t10 (or (not @t85) @t84))) % 49.92/50.20 (assume @p61 (forall @t10 (or (not @t84) @t85))) % 49.92/50.20 (assume @p62 (forall @t90 (or @t89 @t87))) % 49.92/50.20 (assume @p63 (forall @t90 (or @t89 @t92))) % 49.92/50.20 (assume @p64 (forall @t90 (or (not @t87) (not @t92) @t88))) % 49.92/50.20 (assume @p65 (forall (@list @t86 @t3) (or @t89 @t18 (tptp.member (tptp.image @t86 @t3) tptp.universal_class)))) % 49.92/50.20 (assume @p66 (forall @t10 (or @t94 (tptp.member @t93 @t3)))) % 49.92/50.20 (assume @p67 (forall @t10 (or @t94 (= (tptp.intersection @t3 @t93) tptp.null_class)))) % 49.92/50.20 (assume @p68 @t96) % 49.92/50.20 (assume @p69 @t97) % 49.92/50.20 (assume @p70 @t98) % 49.92/50.20 (assume @p71 (forall @t90 (or @t100 @t88))) % 49.92/50.20 (assume @p72 (forall @t90 (or @t100 @t101))) % 49.92/50.20 (assume @p73 (forall @t90 (or (not @t101) @t89 @t99))) % 49.92/50.20 (assume @p74 (= (tptp.intersection @t34 (tptp.intersection @t34 (tptp.complement (tptp.compose (tptp.complement tptp.element_relation) @t102)))) tptp.subset_relation)) % 49.92/50.20 (assume @p75 (= (tptp.intersection (tptp.inverse tptp.subset_relation) tptp.subset_relation) tptp.identity_relation)) % 49.92/50.20 (assume @p76 (forall (@list @t49) (= (tptp.complement (tptp.domain_of (tptp.intersection @t49 tptp.identity_relation))) (tptp.diagonalise @t49)))) % 49.92/50.20 (assume @p77 (forall @t10 (= (tptp.intersection @t51 (tptp.diagonalise (tptp.compose @t102 @t3))) (tptp.cantor @t3)))) % 49.92/50.20 (assume @p78 (forall @t90 (or @t104 @t88))) % 49.92/50.20 (assume @p79 (forall @t90 (or @t104 @t107))) % 49.92/50.20 (assume @p80 (forall @t90 (or @t104 @t109))) % 49.92/50.20 (assume @p81 (forall @t90 (or @t89 (not @t107) (not @t109) @t103))) % 49.92/50.20 (assume @p82 (forall @t116 (or @t115 @t111))) % 49.92/50.20 (assume @p83 (forall @t116 (or @t115 @t118))) % 49.92/50.20 (assume @p84 (forall @t116 (or @t115 @t119))) % 49.92/50.20 (assume @p85 (forall @t116 (or (not @t111) (not @t118) (not @t119) @t114))) % 49.92/50.20 (assume @p86 (forall @t116 (or @t122 @t120))) % 49.92/50.20 (assume @p87 (forall @t116 (or @t122 @t123))) % 49.92/50.20 (assume @p88 (forall @t116 (or @t122 @t114))) % 49.92/50.20 (assume @p89 (forall (@list @t110 @t113 @t112 @t3 @t1) (or @t122 (not (tptp.member @t23 @t117)) (= (tptp.apply @t112 (tptp.ordered_pair (tptp.apply @t110 @t3) (tptp.apply @t110 @t1))) (tptp.apply @t110 (tptp.apply @t113 @t23)))))) % 49.92/50.20 (assume @p90 (forall @t129 (or @t128 @t127 @t115 (tptp.member @t126 @t117) @t121))) % 49.92/50.20 (assume @p91 (forall @t129 (or @t128 @t127 @t115 (not (= (tptp.apply @t112 (tptp.ordered_pair (tptp.apply @t110 @t125) (tptp.apply @t110 @t124))) (tptp.apply @t110 (tptp.apply @t113 @t126)))) @t121))) % 49.92/50.20 (assume @p92 (forall @t10 (tptp.subclass @t130 @t34))) % 49.92/50.20 (assume @p93 (forall @t134 (or (not @t133) @t132))) % 49.92/50.20 (assume @p94 (forall @t134 (or @t81 (not @t132) @t133))) % 49.92/50.20 (assume @p95 (tptp.subclass tptp.composition_function @t135)) % 49.92/50.20 (assume @p96 (forall @t137 (or (not (tptp.member @t136 tptp.composition_function)) @t132))) % 49.92/50.20 (assume @p97 (forall @t9 (or @t37 (tptp.member (tptp.ordered_pair @t3 (tptp.ordered_pair @t1 @t131)) tptp.composition_function)))) % 49.92/50.20 (assume @p98 (tptp.subclass tptp.domain_relation @t34)) % 49.92/50.20 (assume @p99 (forall @t9 (or (not (tptp.member @t23 tptp.domain_relation)) (= @t51 @t1)))) % 49.92/50.20 (assume @p100 (forall @t10 (or @t18 (tptp.member (tptp.ordered_pair @t3 @t51) tptp.domain_relation)))) % 49.92/50.20 (assume @p101 (forall @t10 (= (tptp.first @t139) @t138))) % 49.92/50.20 (assume @p102 (forall @t10 (= (tptp.second @t139) @t140))) % 49.92/50.20 (assume @p103 (forall @t10 (= (tptp.domain @t3 (tptp.image @t82 (tptp.singleton @t138)) @t140) (tptp.single_valued3 @t3)))) % 49.92/50.20 (assume @p104 (= (tptp.intersection (tptp.complement (tptp.compose tptp.element_relation @t141)) tptp.element_relation) tptp.singleton_relation)) % 49.92/50.20 (assume @p105 (tptp.subclass tptp.application_function @t135)) % 49.92/50.20 (assume @p106 (forall @t137 (or @t143 @t142))) % 49.92/50.20 (assume @p107 (forall @t137 (or @t143 (= @t144 @t32)))) % 49.92/50.20 (assume @p108 (forall @t137 (or (not (tptp.member @t136 @t135)) (not @t142) (tptp.member (tptp.ordered_pair @t3 (tptp.ordered_pair @t1 @t144)) tptp.application_function)))) % 49.92/50.20 (assume @p109 (forall @t146 (or @t145 @t88))) % 49.92/50.20 (assume @p110 (forall @t146 (or @t145 (= @t105 @t3)))) % 49.92/50.20 (assume @p111 (forall @t146 (or @t145 @t147))) % 49.92/50.20 (assume @p112 (forall @t95 (or @t89 (not @t147) (tptp.maps @t86 @t105 @t1)))) % 49.92/50.20 (assume @p113 (forall @t10 (= (tptp.union @t3 @t82) @t148))) % 49.92/50.20 (assume @p114 (forall @t9 (or (not @t150) @t149))) % 49.92/50.20 (assume @p115 (forall @t9 (or (not @t149) @t150))) % 49.92/50.20 (assume @p116 (forall @t9 (or (not @t152) @t151))) % 49.92/50.20 (assume @p117 (forall @t20 (or (not @t151) @t152))) % 49.92/50.20 (assume @p118 (forall @t156 (or (not @t155) @t154))) % 49.92/50.20 (assume @p119 (forall @t156 (or (not @t154) @t155))) % 49.92/50.20 (assume @p120 (forall @t156 (or (not @t158) @t157))) % 49.92/50.20 (assume @p121 (forall @t156 (or (not @t157) @t158))) % 49.92/50.20 (assume @p122 (forall @t159 (= (tptp.segment @t49 @t1 @t32) (tptp.domain_of (tptp.restrict @t49 @t1 @t53))))) % 49.92/50.20 (assume @p123 (forall @t9 (or (not (tptp.well_ordering @t3 @t1)) @t152))) % 49.92/50.20 (assume @p124 (forall @t165 (or @t164 @t162 (= @t2 tptp.null_class) @t161))) % 49.92/50.20 (assume @p125 (forall @t167 (or @t164 @t162 @t166 @t161))) % 49.92/50.20 (assume @p126 (forall @t165 (or @t164 @t162 (= (tptp.segment @t49 @t2 @t160) tptp.null_class)))) % 49.92/50.20 (assume @p127 (forall @t167 (or @t164 @t162 @t166 (not (tptp.member (tptp.ordered_pair @t26 @t160) @t49))))) % 49.92/50.20 (assume @p128 (forall @t156 (or @t169 (not (= @t168 tptp.null_class)) @t163))) % 49.92/50.20 (assume @p129 (forall @t156 (or @t169 (tptp.subclass @t168 @t1) @t163))) % 49.92/50.20 (assume @p130 (forall (@list @t26 @t49 @t1) (or (not (tptp.member @t26 @t168)) (not (= (tptp.segment @t49 @t168 @t26) tptp.null_class)) @t169 @t163))) % 49.92/50.20 (assume @p131 (forall @t159 (or @t172 @t170))) % 49.92/50.20 (assume @p132 (forall @t159 (or @t172 @t173))) % 49.92/50.20 (assume @p133 (forall (@list @t1 @t32 @t49) (or (not @t170) (not @t173) @t171))) % 49.92/50.20 (assume @p134 (forall @t10 (or @t176 @t174))) % 49.92/50.20 (assume @p135 (forall @t10 (or @t176 @t177))) % 49.92/50.20 (assume @p136 (forall @t10 (or @t179 @t178 @t18 @t175))) % 49.92/50.20 (assume @p137 (forall @t10 (or @t179 @t178 @t175 (= @t3 tptp.ordinal_numbers)))) % 49.92/50.20 (assume @p138 (= (tptp.union @t181 @t180) tptp.kind_1_ordinals)) % 49.92/50.20 (assume @p139 (= (tptp.intersection (tptp.complement tptp.kind_1_ordinals) tptp.ordinal_numbers) tptp.limit_ordinals)) % 49.92/50.20 (assume @p140 (forall @t10 (tptp.subclass @t182 @t34))) % 49.92/50.20 (assume @p141 (forall @t186 (or @t185 @t183))) % 49.92/50.20 (assume @p142 (forall @t186 (or @t185 @t187))) % 49.92/50.20 (assume @p143 (forall (@list @t2 @t3 @t26) (or (not @t183) (not @t187) @t184))) % 49.92/50.20 (assume @p144 (tptp.subclass tptp.rest_relation @t34)) % 49.92/50.20 (assume @p145 (forall @t9 (or (not (tptp.member @t23 tptp.rest_relation)) (= @t182 @t1)))) % 49.92/50.20 (assume @p146 (forall @t10 (or @t18 (tptp.member (tptp.ordered_pair @t3 @t182) tptp.rest_relation)))) % 49.92/50.20 (assume @p147 (forall @t55 (or @t190 @t188))) % 49.92/50.20 (assume @p148 (forall @t55 (or @t190 @t191))) % 49.92/50.20 (assume @p149 (forall @t55 (or @t190 @t192))) % 49.92/50.20 (assume @p150 (forall @t55 (or @t190 @t193))) % 49.92/50.20 (assume @p151 (forall @t46 (or (not @t188) (not @t191) (not @t192) (not @t193) @t189))) % 49.92/50.20 (assume @p152 (tptp.subclass tptp.union_of_range_map @t34)) % 49.92/50.20 (assume @p153 (forall @t9 (or (not @t195) @t194))) % 49.92/50.20 (assume @p154 (forall @t9 (or @t37 (not @t194) @t195))) % 49.92/50.20 (assume @p155 (forall @t9 (= (tptp.apply (tptp.recursion @t3 tptp.successor_relation tptp.union_of_range_map) @t1) (tptp.ordinal_add @t3 @t1)))) % 49.92/50.20 (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)))) % 49.92/50.20 (assume @p157 (forall @t10 (or (not @t197) (= @t196 @t3)))) % 49.92/50.20 (assume @p158 (forall @t10 (or @t197 (= @t196 tptp.null_class)))) % 49.92/50.20 (assume @p159 @t199) % 49.92/50.20 (step @p160 :rule eq-symm :args (@t200 @t181)) % 49.92/50.20 (step @p161 :rule refl :args (@t22)) % 49.92/50.20 (step @p162 :rule cong :premises (@p161 @p160) :args ((=> @t22 @t201))) % 49.92/50.20 (assume-push @p341 @t22) % 49.92/50.20 (step @p164 :rule instantiate :premises (@p12) :args (@t202)) % 49.92/50.20 (step-pop @p342 :rule scope :premises (@p164)) % 49.92/50.20 (step @p165 :rule process_scope :premises (@p342) :args (@t201)) % 49.92/50.20 (step @p167 :rule eq_resolve :premises (@p165 @p162)) % 49.92/50.20 (step @p168 :rule implies_elim :premises (@p167)) % 49.92/50.20 (step @p169 :rule chain_m_resolution :premises (@p168 @p12) :args (@t203 @t204 @t205)) % 49.92/50.20 (step @p170 :rule instantiate :premises (@p11) :args (@t206)) % 49.92/50.20 (step @p171 :rule instantiate :premises (@p9) :args (@t206)) % 49.92/50.20 (step @p172 :rule cnf_or_pos :args (@t210)) % 49.92/50.20 (step @p173 :rule reordering :premises (@p172) :args ((or @t209 @t207 (not @t210)))) % 49.92/50.20 (step @p174 :rule symm :premises (@p138)) % 49.92/50.20 (step @p175 :rule refl :args (tptp.null_class)) % 49.92/50.20 (step @p176 :rule cong :premises (@p175 @p174) :args (@t198)) % 49.92/50.20 (step @p177 :rule cong :premises (@p176) :args (@t199)) % 49.92/50.20 (step @p178 :rule eq_resolve :premises (@p159 @p177)) % 49.92/50.20 (step @p179 :rule false_intro :premises (@p178)) % 49.92/50.20 (step @p180 :rule instantiate :premises (@p26) :args ((@list @t181 @t180))) % 49.92/50.20 (step @p181 :rule cong :premises (@p175 @p180) :args (@t214)) % 49.92/50.20 (step @p182 :rule trans :premises (@p181 @p179)) % 49.92/50.20 (step @p183 :rule false_elim :premises (@p182)) % 49.92/50.20 (step @p184 :rule instantiate :premises (@p25) :args ((@list tptp.null_class @t213))) % 49.92/50.20 (step @p185 :rule cnf_or_pos :args (@t216)) % 49.92/50.20 (step @p186 :rule reordering :premises (@p185) :args ((or @t209 @t214 @t215 (not @t216)))) % 49.92/50.20 (step @p187 :rule instantiate :premises (@p24) :args ((@list tptp.null_class @t200))) % 49.92/50.20 (step @p188 :rule cnf_or_pos :args (@t220)) % 49.92/50.20 (step @p189 :rule reordering :premises (@p188) :args ((or @t217 @t219 (not @t220)))) % 49.92/50.20 (step @p190 :rule instantiate :premises (@p21) :args ((@list tptp.null_class @t212 @t211))) % 49.92/50.20 (step @p191 :rule cnf_or_pos :args (@t223)) % 49.92/50.20 (step @p192 :rule reordering :premises (@p191) :args ((or @t222 @t221 (not @t223)))) % 49.92/50.20 (step @p193 :rule refl :args (@t224)) % 49.92/50.20 (step @p194 :rule bool-double-not-elim :args (@t218)) % 49.92/50.20 (step @p195 :rule refl :args (@t225)) % 49.92/50.20 (step @p196 :rule nary_cong :premises (@p195 @p194 @p193) :args ((or @t225 (not @t219) @t224))) % 49.92/50.20 (assume-push @p343 @t203) % 49.92/50.20 (assume-push @p344 @t219) % 49.92/50.20 (assume-push @p345 @t219) % 49.92/50.20 (assume-push @p346 @t203) % 49.92/50.20 (step @p201 :rule false_intro :premises (@p344)) % 49.92/50.20 (step @p202 :rule cong :premises (@p169) :args (@t212)) % 49.92/50.20 (step @p203 :rule cong :premises (@p175 @p202) :args (@t221)) % 49.92/50.20 (step @p204 :rule trans :premises (@p203 @p201)) % 49.92/50.20 (step @p205 :rule false_elim :premises (@p204)) % 49.92/50.20 (step-pop @p347 :rule scope :premises (@p205)) % 49.92/50.20 (step-pop @p348 :rule scope :premises (@p347)) % 49.92/50.20 (step @p206 :rule process_scope :premises (@p348) :args (@t224)) % 49.92/50.20 (step @p209 :rule and_intro :premises (@p344 @p169)) % 49.92/50.20 (step @p210 :rule modus_ponens :premises (@p209 @p206)) % 49.92/50.20 (step-pop @p349 :rule scope :premises (@p210)) % 49.92/50.20 (step-pop @p350 :rule scope :premises (@p349)) % 49.92/50.20 (step @p211 :rule process_scope :premises (@p350) :args (@t224)) % 49.92/50.20 (step @p214 :rule implies_elim :premises (@p211)) % 49.92/50.20 (step @p215 :rule cnf_and_neg :args (@t226)) % 49.92/50.20 (step @p216 :rule resolution :premises (@p215 @p214) :args (true @t226)) % 49.92/50.20 (step @p217 :rule eq_resolve :premises (@p216 @p196)) % 49.92/50.20 (step @p218 :rule reordering :premises (@p217) :args ((or @t225 @t224 @t218))) % 49.92/50.20 (step @p219 :rule chain_m_resolution :premises (@p218 @p169 @p192 @p190 @p189 @p187 @p186 @p184 @p183 @p173 @p171) :args (@t209 (@list false false false true false false false true false false) (@list @t203 @t221 @t223 @t218 @t220 @t215 @t216 @t214 @t207 @t210))) % 49.92/50.20 (step @p220 :rule refl :args (@t228)) % 49.92/50.20 (step @p221 :rule eq-symm :args (@t200 tptp.null_class)) % 49.92/50.20 (step @p222 :rule refl :args (@t230)) % 49.92/50.20 (step @p223 :rule nary_cong :premises (@p222 @p221 @p220) :args (@t231)) % 49.92/50.20 (step @p224 :rule refl :args (@t98)) % 49.92/50.20 (step @p225 :rule cong :premises (@p224 @p223) :args ((=> @t98 @t231))) % 49.92/50.20 (assume-push @p351 @t98) % 49.92/50.20 (step @p227 :rule instantiate :premises (@p70) :args (@t232)) % 49.92/50.20 (step-pop @p352 :rule scope :premises (@p227)) % 49.92/50.20 (step @p228 :rule process_scope :premises (@p352) :args (@t231)) % 49.92/50.20 (step @p230 :rule eq_resolve :premises (@p228 @p225)) % 49.92/50.20 (step @p231 :rule implies_elim :premises (@p230)) % 49.92/50.20 (step @p232 :rule chain_m_resolution :premises (@p231 @p70) :args (@t234 @t204 (@list @t98))) % 49.92/50.20 (step @p233 :rule eq-symm :args (@t2 @t1)) % 49.92/50.20 (step @p234 :rule eq-symm :args (@t2 @t3)) % 49.92/50.20 (step @p235 :rule refl :args (@t15)) % 49.92/50.20 (step @p236 :rule nary_cong :premises (@p235 @p234 @p233) :args (@t16)) % 49.92/50.20 (step @p237 :rule cong :premises (@p236) :args (@t17)) % 49.92/50.20 (step @p238 :rule eq_resolve :premises (@p8 @p237)) % 49.92/50.20 (step @p239 :rule instantiate :premises (@p238) :args ((@list @t227 tptp.null_class tptp.null_class))) % 49.92/50.20 (step @p240 :rule instantiate :premises (@p54) :args ((@list @t236))) % 49.92/50.20 (step @p241 :rule instantiate :premises (@p65) :args ((@list tptp.choice @t235))) % 49.92/50.20 (step @p242 :rule instantiate :premises (@p11) :args ((@list @t200 @t200))) % 49.92/50.20 (step @p243 :rule true_intro :premises (@p242)) % 49.92/50.20 (step @p244 :rule refl :args (tptp.universal_class)) % 49.92/50.20 (step @p245 :rule eq-symm :args (@t237 @t235)) % 49.92/50.20 (step @p246 :rule cong :premises (@p161 @p245) :args ((=> @t22 @t238))) % 49.92/50.20 (assume-push @p353 @t22) % 49.92/50.20 (step @p248 :rule instantiate :premises (@p12) :args (@t232)) % 49.92/50.20 (step-pop @p354 :rule scope :premises (@p248)) % 49.92/50.20 (step @p249 :rule process_scope :premises (@p354) :args (@t238)) % 49.92/50.20 (step @p251 :rule eq_resolve :premises (@p249 @p246)) % 49.92/50.20 (step @p252 :rule implies_elim :premises (@p251)) % 49.92/50.20 (step @p253 :rule chain_m_resolution :premises (@p252 @p12) :args ((= @t235 @t237) @t204 @t205)) % 49.92/50.20 (step @p254 :rule cong :premises (@p253 @p244) :args (@t239)) % 49.92/50.20 (step @p255 :rule trans :premises (@p254 @p243)) % 49.92/50.20 (step @p256 :rule true_elim :premises (@p255)) % 49.92/50.20 (step @p257 :rule cnf_or_pos :args (@t243)) % 49.92/50.20 (step @p258 :rule reordering :premises (@p257) :args ((or @t242 @t241 @t240 (not @t243)))) % 49.92/50.20 (step @p259 :rule chain_m_resolution :premises (@p258 @p69 @p256 @p241) :args (@t240 (@list false false false) (@list @t97 @t239 @t243))) % 49.92/50.20 (step @p260 :rule cnf_or_pos :args (@t247)) % 49.92/50.20 (step @p261 :rule reordering :premises (@p260) :args ((or @t246 @t245 (not @t247)))) % 49.92/50.20 (step @p262 :rule chain_m_resolution :premises (@p261 @p259 @p240) :args (@t245 (@list false false) (@list @t240 @t247))) % 49.92/50.20 (step @p263 :rule eq-symm :args (@t244 @t227)) % 49.92/50.20 (step @p264 :rule refl :args (@t96)) % 49.92/50.20 (step @p265 :rule cong :premises (@p264 @p263) :args ((=> @t96 @t248))) % 49.92/50.20 (assume-push @p355 @t96) % 49.92/50.20 (step @p267 :rule instantiate :premises (@p68) :args (@t249)) % 49.92/50.20 (step-pop @p356 :rule scope :premises (@p267)) % 49.92/50.20 (step @p268 :rule process_scope :premises (@p356) :args (@t248)) % 49.92/50.20 (step @p270 :rule eq_resolve :premises (@p268 @p265)) % 49.92/50.20 (step @p271 :rule implies_elim :premises (@p270)) % 49.92/50.20 (step @p272 :rule chain_m_resolution :premises (@p271 @p68) :args (@t250 @t204 (@list @t96))) % 49.92/50.20 (step @p273 :rule refl :args (@t251)) % 49.92/50.20 (step @p274 :rule refl :args (@t252)) % 49.92/50.20 (step @p275 :rule refl :args (@t254)) % 49.92/50.20 (step @p276 :rule bool-double-not-elim :args (@t208)) % 49.92/50.20 (step @p277 :rule nary_cong :premises (@p276 @p275 @p274 @p273) :args ((or @t255 @t254 @t252 @t251))) % 49.92/50.20 (assume-push @p357 @t209) % 49.92/50.20 (assume-push @p358 @t253) % 49.92/50.20 (assume-push @p359 @t250) % 49.92/50.20 (assume-push @p360 @t245) % 49.92/50.20 (step @p282 :rule evaluate :args (@t256)) % 49.92/50.20 (step @p283 :rule false_intro :premises (@p357)) % 49.92/50.20 (step @p284 :rule symm :premises (@p358)) % 49.92/50.20 (step @p267 :rule instantiate :premises (@p68) :args (@t249)) % 49.92/50.20 (step @p285 :rule trans :premises (@p267 @p284)) % 49.92/50.20 (step @p286 :rule cong :premises (@p285 @p244) :args (@t245)) % 49.92/50.20 (step @p287 :rule true_intro :premises (@p262)) % 49.92/50.20 (step @p288 :rule symm :premises (@p287)) % 49.92/50.20 (step @p289 :rule trans :premises (@p288 @p286 @p283)) % 49.92/50.20 (step @p290 false :rule eq_resolve :premises (@p289 @p282)) % 49.92/50.20 (step-pop @p361 :rule scope :premises (@p290)) % 49.92/50.20 (step-pop @p362 :rule scope :premises (@p361)) % 49.92/50.20 (step-pop @p363 :rule scope :premises (@p362)) % 49.92/50.20 (step-pop @p364 :rule scope :premises (@p363)) % 49.92/50.20 (step @p291 :rule process_scope :premises (@p364) :args (false)) % 49.92/50.20 (step @p296 :rule not_and :premises (@p291)) % 49.92/50.20 (step @p297 :rule eq_resolve :premises (@p296 @p277)) % 49.92/50.20 (step @p298 :rule chain_m_resolution :premises (@p297 @p219 @p272 @p262) :args (@t254 (@list true false false) (@list @t208 @t250 @t245))) % 49.92/50.20 (step @p299 :rule cnf_or_pos :args (@t258)) % 49.92/50.20 (step @p300 :rule factoring :premises (@p299)) % 49.92/50.20 (step @p301 :rule reordering :premises (@p300) :args ((or @t257 @t253 (not @t258)))) % 49.92/50.20 (step @p302 :rule chain_m_resolution :premises (@p301 @p298 @p239) :args (@t257 (@list true false) (@list @t253 @t258))) % 49.92/50.20 (step @p303 :rule cnf_or_pos :args (@t234)) % 49.92/50.20 (step @p304 :rule reordering :premises (@p303) :args ((or @t230 @t228 @t233 (not @t234)))) % 49.92/50.20 (step @p305 :rule chain_m_resolution :premises (@p304 @p170 @p302 @p232) :args (@t233 (@list false true false) (@list @t229 @t228 @t234))) % 49.92/50.20 (step @p306 :rule refl :args (@t259)) % 49.92/50.20 (step @p307 :rule nary_cong :premises (@p195 @p276 @p222 @p306) :args ((or @t225 @t255 @t230 @t259))) % 49.92/50.20 (assume-push @p365 @t209) % 49.92/50.20 (assume-push @p366 @t233) % 49.92/50.20 (assume-push @p367 @t203) % 49.92/50.20 (assume-push @p368 @t229) % 49.92/50.20 (step @p282 :rule evaluate :args (@t256)) % 49.92/50.20 (step @p312 :rule false_intro :premises (@p365)) % 49.92/50.20 (step @p313 :rule symm :premises (@p366)) % 49.92/50.20 (step @p314 :rule trans :premises (@p169 @p313)) % 49.92/50.20 (step @p315 :rule cong :premises (@p314 @p244) :args ((tptp.member @t181 tptp.universal_class))) % 49.92/50.20 (step @p164 :rule instantiate :premises (@p12) :args (@t202)) % 49.92/50.20 (step @p316 :rule cong :premises (@p164 @p244) :args (@t229)) % 49.92/50.20 (step @p317 :rule true_intro :premises (@p170)) % 49.92/50.20 (step @p318 :rule symm :premises (@p317)) % 49.92/50.20 (step @p319 :rule trans :premises (@p318 @p316 @p315 @p312)) % 49.92/50.20 (step @p320 false :rule eq_resolve :premises (@p319 @p282)) % 49.92/50.20 (step-pop @p369 :rule scope :premises (@p320)) % 49.92/50.20 (step-pop @p370 :rule scope :premises (@p369)) % 49.92/50.20 (step-pop @p371 :rule scope :premises (@p370)) % 49.92/50.20 (step-pop @p372 :rule scope :premises (@p371)) % 49.92/50.20 (step @p321 :rule process_scope :premises (@p372) :args (false)) % 49.92/50.20 (assume-push @p373 @t203) % 49.92/50.20 (assume-push @p374 @t209) % 49.92/50.20 (assume-push @p375 @t229) % 49.92/50.20 (assume-push @p376 @t233) % 49.92/50.20 (step @p330 :rule and_intro :premises (@p374 @p376 @p169 @p170)) % 49.92/50.20 (step-pop @p377 :rule scope :premises (@p330)) % 49.92/50.20 (step-pop @p378 :rule scope :premises (@p377)) % 49.92/50.20 (step-pop @p379 :rule scope :premises (@p378)) % 49.92/50.20 (step-pop @p380 :rule scope :premises (@p379)) % 49.92/50.20 (step @p331 :rule process_scope :premises (@p380) :args (@t260)) % 49.92/50.20 (step @p336 :rule implies_elim :premises (@p331)) % 49.92/50.20 (step @p337 :rule resolution :premises (@p336 @p321) :args (true @t260)) % 49.92/50.20 (step @p338 :rule not_and :premises (@p337)) % 49.92/50.20 (step @p339 :rule eq_resolve :premises (@p338 @p307)) % 49.92/50.20 (step @p340 false :rule chain_m_resolution :premises (@p339 @p305 @p219 @p170 @p169) :args (false (@list false true false false) (@list @t233 @t208 @t229 @t203))) % 49.92/50.20 ) % 49.92/50.22 % SZS output end Proof % 49.92/50.22 % cvc5 exiting %------------------------------------------------------------------------------