%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM011-1 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:38:21 AM UTC 2026 % Result : Unsatisfiable 279.02s 279.35s % Output : Proof 279.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM011-1 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n019.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 10:18:49 EDT 2026 % 0.19/0.35 % CPUTime : % 0.27/0.55 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.51/15.77 --- Run --no-e-matching --full-saturate-quant at 6... % 21.61/21.84 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.72/27.92 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.73/33.96 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.86/64.07 --- Run --trigger-sel=max --full-saturate-quant at 15... % 78.95/79.16 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 112.01/112.25 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 127.52/127.79 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.67/157.94 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 172.80/173.07 --- Run --relevant-triggers --full-saturate-quant at 30... % 202.94/203.22 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 218.14/218.40 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 233.15/233.47 --- Run --cbqi-vo-exp --full-saturate-quant at 36... % 269.30/269.66 --- Run --no-cbqi --full-saturate-quant at 9... % 278.42/278.75 --- Run --macros-quant --macros-quant-mode=all --full-saturate-quant at 15... % 279.02/279.35 % SZS status Unsatisfiable % 279.02/279.35 % SZS output start Proof % 279.02/279.37 ( % 279.02/279.37 (declare-sort $$unsorted 0) % 279.02/279.37 (declare-const tptp.f59 (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.even_numbers $$unsorted) % 279.02/279.37 (declare-const tptp.twin_prime_numbers $$unsorted) % 279.02/279.37 (declare-const tptp.f56 (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.prime_numbers $$unsorted) % 279.02/279.37 (declare-const tptp.f52 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.times $$unsorted) % 279.02/279.37 (declare-const tptp.f58 (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f50 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f48 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f47 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f45 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.natural_numbers $$unsorted) % 279.02/279.37 (declare-const tptp.f41 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f75 $$unsorted) % 279.02/279.37 (declare-const tptp.inverse (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 279.02/279.37 (declare-const tptp.f43 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f35 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f32 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f31 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f29 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f57 (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.closed (-> $$unsorted $$unsorted Bool)) % 279.02/279.37 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 279.02/279.37 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f28 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f39 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.apply_to_two_arguments (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f7 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 279.02/279.37 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.commutes (-> $$unsorted $$unsorted Bool)) % 279.02/279.37 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f36 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.single_valued_set (-> $$unsorted Bool)) % 279.02/279.37 (declare-const tptp.f51 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f34 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f25 $$unsorted) % 279.02/279.37 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.infinity $$unsorted) % 279.02/279.37 (declare-const tptp.rotate_right (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.finite (-> $$unsorted Bool)) % 279.02/279.37 (declare-const tptp.f24 (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f38 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f2 (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 279.02/279.37 (declare-const tptp.identity (-> $$unsorted $$unsorted $$unsorted Bool)) % 279.02/279.37 (declare-const tptp.f30 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f5 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 279.02/279.37 (declare-const tptp.f42 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.non_ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.associative (-> $$unsorted $$unsorted Bool)) % 279.02/279.37 (declare-const tptp.estin $$unsorted) % 279.02/279.37 (declare-const tptp.f53 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.singleton_set (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f26 (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.flip_range_of (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f44 (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f55 (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f40 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f11 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.plus $$unsorted) % 279.02/279.37 (declare-const tptp.f37 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.little_set (-> $$unsorted Bool)) % 279.02/279.37 (declare-const tptp.f3 (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f12 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.relation (-> $$unsorted Bool)) % 279.02/279.37 (declare-const tptp.ordered_pair_predicate (-> $$unsorted Bool)) % 279.02/279.37 (declare-const tptp.f4 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f20 (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f18 (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f14 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f22 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f46 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.empty_set $$unsorted) % 279.02/279.37 (declare-const tptp.f54 (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.universal_set $$unsorted) % 279.02/279.37 (declare-const tptp.f16 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.sigma (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.one_to_one_function (-> $$unsorted Bool)) % 279.02/279.37 (declare-const tptp.function (-> $$unsorted Bool)) % 279.02/279.37 (declare-const tptp.f49 (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.group (-> $$unsorted $$unsorted Bool)) % 279.02/279.37 (declare-const tptp.f17 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f13 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f33 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 279.02/279.37 (declare-const tptp.f19 (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.identity_relation $$unsorted) % 279.02/279.37 (declare-const tptp.f21 (-> $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 279.02/279.37 (declare-const tptp.f23 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (declare-const tptp.f27 (-> $$unsorted $$unsorted $$unsorted)) % 279.02/279.37 (define @t1 () (@var "X" $$unsorted)) % 279.02/279.37 (define @t2 () (tptp.little_set @t1)) % 279.02/279.37 (define @t3 () (@var "Y" $$unsorted)) % 279.02/279.37 (define @t4 () (@list @t1 @t3)) % 279.02/279.37 (define @t5 () (= @t1 @t3)) % 279.02/279.37 (define @t6 () (tptp.f1 @t1 @t3)) % 279.02/279.37 (define @t7 () (tptp.member @t6 @t3)) % 279.02/279.37 (define @t8 () (tptp.member @t6 @t1)) % 279.02/279.37 (define @t9 () (@var "U" $$unsorted)) % 279.02/279.37 (define @t10 () (= @t9 @t3)) % 279.02/279.37 (define @t11 () (= @t9 @t1)) % 279.02/279.37 (define @t12 () (tptp.non_ordered_pair @t1 @t3)) % 279.02/279.37 (define @t13 () (tptp.member @t9 @t12)) % 279.02/279.37 (define @t14 () (@list @t9 @t1 @t3)) % 279.02/279.37 (define @t15 () (not @t11)) % 279.02/279.37 (define @t16 () (not (tptp.little_set @t9))) % 279.02/279.37 (define @t17 () (or @t13 @t16 @t15)) % 279.02/279.37 (define @t18 () (forall @t14 @t17)) % 279.02/279.37 (define @t19 () (tptp.non_ordered_pair @t1 @t1)) % 279.02/279.37 (define @t20 () (tptp.singleton_set @t1)) % 279.02/279.37 (define @t21 () (@list @t1)) % 279.02/279.37 (define @t22 () (forall @t21 (= @t20 @t19))) % 279.02/279.37 (define @t23 () (tptp.ordered_pair @t1 @t3)) % 279.02/279.37 (define @t24 () (tptp.f2 @t1)) % 279.02/279.37 (define @t25 () (tptp.ordered_pair_predicate @t1)) % 279.02/279.37 (define @t26 () (not @t25)) % 279.02/279.37 (define @t27 () (tptp.f3 @t1)) % 279.02/279.37 (define @t28 () (@var "Z" $$unsorted)) % 279.02/279.37 (define @t29 () (not (tptp.little_set @t28))) % 279.02/279.37 (define @t30 () (not (tptp.little_set @t3))) % 279.02/279.37 (define @t31 () (tptp.f4 @t28 @t1)) % 279.02/279.37 (define @t32 () (tptp.member @t28 (tptp.first @t1))) % 279.02/279.37 (define @t33 () (not @t32)) % 279.02/279.37 (define @t34 () (@list @t28 @t1)) % 279.02/279.37 (define @t35 () (tptp.f5 @t28 @t1)) % 279.02/279.37 (define @t36 () (@var "V" $$unsorted)) % 279.02/279.37 (define @t37 () (tptp.ordered_pair @t9 @t36)) % 279.02/279.37 (define @t38 () (not (= @t1 @t37))) % 279.02/279.37 (define @t39 () (not (tptp.little_set @t36))) % 279.02/279.37 (define @t40 () (@list @t28 @t1 @t9 @t36)) % 279.02/279.37 (define @t41 () (tptp.f6 @t28 @t1)) % 279.02/279.37 (define @t42 () (tptp.member @t28 (tptp.second @t1))) % 279.02/279.37 (define @t43 () (not @t42)) % 279.02/279.37 (define @t44 () (tptp.f7 @t28 @t1)) % 279.02/279.37 (define @t45 () (tptp.ordered_pair_predicate @t28)) % 279.02/279.37 (define @t46 () (tptp.member @t28 tptp.estin)) % 279.02/279.37 (define @t47 () (not @t46)) % 279.02/279.37 (define @t48 () (@list @t28)) % 279.02/279.37 (define @t49 () (tptp.second @t28)) % 279.02/279.37 (define @t50 () (tptp.first @t28)) % 279.02/279.37 (define @t51 () (tptp.member @t50 @t49)) % 279.02/279.37 (define @t52 () (not @t45)) % 279.02/279.37 (define @t53 () (tptp.member @t28 @t1)) % 279.02/279.37 (define @t54 () (tptp.member @t28 (tptp.intersection @t1 @t3))) % 279.02/279.37 (define @t55 () (not @t54)) % 279.02/279.37 (define @t56 () (@list @t28 @t1 @t3)) % 279.02/279.37 (define @t57 () (tptp.member @t28 @t3)) % 279.02/279.37 (define @t58 () (forall @t56 (or @t55 @t57))) % 279.02/279.37 (define @t59 () (not @t57)) % 279.02/279.37 (define @t60 () (not @t53)) % 279.02/279.37 (define @t61 () (tptp.complement @t1)) % 279.02/279.37 (define @t62 () (tptp.member @t28 @t61)) % 279.02/279.37 (define @t63 () (forall @t4 (= (tptp.union @t1 @t3) (tptp.complement (tptp.intersection @t61 (tptp.complement @t3)))))) % 279.02/279.37 (define @t64 () (tptp.f8 @t28 @t1)) % 279.02/279.37 (define @t65 () (tptp.member @t28 (tptp.domain_of @t1))) % 279.02/279.37 (define @t66 () (not @t65)) % 279.02/279.37 (define @t67 () (@var "Xp" $$unsorted)) % 279.02/279.37 (define @t68 () (not (tptp.member @t67 @t1))) % 279.02/279.37 (define @t69 () (not (tptp.ordered_pair_predicate @t67))) % 279.02/279.37 (define @t70 () (@list @t28 @t1 @t67)) % 279.02/279.37 (define @t71 () (tptp.member @t28 (tptp.cross_product @t1 @t3))) % 279.02/279.37 (define @t72 () (not @t71)) % 279.02/279.37 (define @t73 () (tptp.member @t50 @t1)) % 279.02/279.37 (define @t74 () (tptp.member @t49 @t3)) % 279.02/279.37 (define @t75 () (tptp.member @t28 (tptp.converse @t1))) % 279.02/279.37 (define @t76 () (not @t75)) % 279.02/279.37 (define @t77 () (tptp.member (tptp.ordered_pair @t49 @t50) @t1)) % 279.02/279.37 (define @t78 () (tptp.f9 @t28 @t1)) % 279.02/279.37 (define @t79 () (tptp.member @t28 (tptp.rotate_right @t1))) % 279.02/279.37 (define @t80 () (not @t79)) % 279.02/279.37 (define @t81 () (tptp.f10 @t28 @t1)) % 279.02/279.37 (define @t82 () (tptp.f11 @t28 @t1)) % 279.02/279.37 (define @t83 () (@var "W" $$unsorted)) % 279.02/279.37 (define @t84 () (not (= @t28 (tptp.ordered_pair @t9 (tptp.ordered_pair @t36 @t83))))) % 279.02/279.37 (define @t85 () (not (tptp.little_set @t83))) % 279.02/279.37 (define @t86 () (@list @t28 @t1 @t9 @t36 @t83)) % 279.02/279.37 (define @t87 () (tptp.f12 @t28 @t1)) % 279.02/279.37 (define @t88 () (tptp.member @t28 (tptp.flip_range_of @t1))) % 279.02/279.37 (define @t89 () (not @t88)) % 279.02/279.37 (define @t90 () (tptp.f13 @t28 @t1)) % 279.02/279.37 (define @t91 () (tptp.f14 @t28 @t1)) % 279.02/279.37 (define @t92 () (tptp.successor @t1)) % 279.02/279.37 (define @t93 () (= @t92 (tptp.union @t1 @t20))) % 279.02/279.37 (define @t94 () (forall @t21 @t93)) % 279.02/279.37 (define @t95 () (tptp.member @t28 tptp.empty_set)) % 279.02/279.37 (define @t96 () (not @t95)) % 279.02/279.37 (define @t97 () (forall @t48 @t96)) % 279.02/279.37 (define @t98 () (tptp.f16 @t28 @t1)) % 279.02/279.37 (define @t99 () (tptp.member @t28 (tptp.sigma @t1))) % 279.02/279.37 (define @t100 () (not @t99)) % 279.02/279.37 (define @t101 () (@list @t9)) % 279.02/279.37 (define @t102 () (tptp.member @t9 @t3)) % 279.02/279.37 (define @t103 () (not (tptp.member @t9 @t1))) % 279.02/279.37 (define @t104 () (tptp.subset @t1 @t3)) % 279.02/279.37 (define @t105 () (not @t104)) % 279.02/279.37 (define @t106 () (@list @t1 @t3 @t9)) % 279.02/279.37 (define @t107 () (tptp.f17 @t1 @t3)) % 279.02/279.37 (define @t108 () (tptp.proper_subset @t1 @t3)) % 279.02/279.37 (define @t109 () (not @t108)) % 279.02/279.37 (define @t110 () (tptp.subset @t28 @t1)) % 279.02/279.37 (define @t111 () (tptp.member @t28 (tptp.powerset @t1))) % 279.02/279.37 (define @t112 () (tptp.relation @t28)) % 279.02/279.37 (define @t113 () (tptp.f18 @t28)) % 279.02/279.37 (define @t114 () (tptp.single_valued_set @t1)) % 279.02/279.37 (define @t115 () (tptp.f19 @t1)) % 279.02/279.37 (define @t116 () (tptp.f20 @t1)) % 279.02/279.37 (define @t117 () (tptp.f21 @t1)) % 279.02/279.37 (define @t118 () (@var "Xf" $$unsorted)) % 279.02/279.37 (define @t119 () (tptp.relation @t118)) % 279.02/279.37 (define @t120 () (tptp.function @t118)) % 279.02/279.37 (define @t121 () (not @t120)) % 279.02/279.37 (define @t122 () (@list @t118)) % 279.02/279.37 (define @t123 () (tptp.single_valued_set @t118)) % 279.02/279.37 (define @t124 () (tptp.f22 @t28 @t1 @t118)) % 279.02/279.37 (define @t125 () (tptp.image @t1 @t118)) % 279.02/279.37 (define @t126 () (tptp.member @t28 @t125)) % 279.02/279.37 (define @t127 () (not @t126)) % 279.02/279.37 (define @t128 () (@list @t28 @t1 @t118)) % 279.02/279.37 (define @t129 () (not @t2)) % 279.02/279.37 (define @t130 () (tptp.disjoint @t1 @t3)) % 279.02/279.37 (define @t131 () (tptp.f23 @t1 @t3)) % 279.02/279.37 (define @t132 () (tptp.f24 @t1)) % 279.02/279.37 (define @t133 () (= @t1 tptp.empty_set)) % 279.02/279.37 (define @t134 () (tptp.f26 @t1)) % 279.02/279.37 (define @t135 () (tptp.f27 @t28 @t1)) % 279.02/279.37 (define @t136 () (tptp.member @t28 (tptp.range_of @t1))) % 279.02/279.37 (define @t137 () (not @t136)) % 279.02/279.37 (define @t138 () (tptp.member @t28 tptp.identity_relation)) % 279.02/279.37 (define @t139 () (not @t138)) % 279.02/279.37 (define @t140 () (= @t50 @t49)) % 279.02/279.37 (define @t141 () (tptp.one_to_one_function @t118)) % 279.02/279.37 (define @t142 () (not @t141)) % 279.02/279.37 (define @t143 () (tptp.function (tptp.converse @t118))) % 279.02/279.37 (define @t144 () (tptp.f28 @t28 @t118 @t3)) % 279.02/279.37 (define @t145 () (tptp.member @t28 (tptp.apply @t118 @t3))) % 279.02/279.37 (define @t146 () (not @t145)) % 279.02/279.37 (define @t147 () (@list @t28 @t118 @t3)) % 279.02/279.37 (define @t148 () (tptp.apply_to_two_arguments @t118 @t1 @t3)) % 279.02/279.37 (define @t149 () (@list @t118 @t1 @t3)) % 279.02/279.37 (define @t150 () (tptp.maps @t118 @t1 @t3)) % 279.02/279.37 (define @t151 () (not @t150)) % 279.02/279.37 (define @t152 () (= (tptp.domain_of @t118) @t1)) % 279.02/279.37 (define @t153 () (tptp.range_of @t118)) % 279.02/279.37 (define @t154 () (tptp.subset @t153 @t3)) % 279.02/279.37 (define @t155 () (@var "Xs" $$unsorted)) % 279.02/279.37 (define @t156 () (tptp.little_set @t155)) % 279.02/279.37 (define @t157 () (tptp.closed @t155 @t118)) % 279.02/279.37 (define @t158 () (not @t157)) % 279.02/279.37 (define @t159 () (@list @t155 @t118)) % 279.02/279.37 (define @t160 () (tptp.little_set @t118)) % 279.02/279.37 (define @t161 () (tptp.maps @t118 (tptp.cross_product @t155 @t155) @t155)) % 279.02/279.37 (define @t162 () (not @t156)) % 279.02/279.37 (define @t163 () (@var "Xg" $$unsorted)) % 279.02/279.37 (define @t164 () (tptp.f29 @t28 @t118 @t163)) % 279.02/279.37 (define @t165 () (tptp.member @t28 (tptp.compose @t118 @t163))) % 279.02/279.37 (define @t166 () (not @t165)) % 279.02/279.37 (define @t167 () (@list @t28 @t118 @t163)) % 279.02/279.37 (define @t168 () (tptp.f30 @t28 @t118 @t163)) % 279.02/279.37 (define @t169 () (tptp.f31 @t28 @t118 @t163)) % 279.02/279.37 (define @t170 () (@var "Xf1" $$unsorted)) % 279.02/279.37 (define @t171 () (@var "Xs1" $$unsorted)) % 279.02/279.37 (define @t172 () (tptp.closed @t171 @t170)) % 279.02/279.37 (define @t173 () (@var "Xf2" $$unsorted)) % 279.02/279.37 (define @t174 () (@var "Xs2" $$unsorted)) % 279.02/279.37 (define @t175 () (@var "Xh" $$unsorted)) % 279.02/279.37 (define @t176 () (tptp.homomorphism @t175 @t171 @t170 @t174 @t173)) % 279.02/279.37 (define @t177 () (not @t176)) % 279.02/279.37 (define @t178 () (@list @t175 @t171 @t170 @t174 @t173)) % 279.02/279.37 (define @t179 () (tptp.closed @t174 @t173)) % 279.02/279.37 (define @t180 () (tptp.maps @t175 @t171 @t174)) % 279.02/279.37 (define @t181 () (tptp.f32 @t175 @t171 @t170 @t174 @t173)) % 279.02/279.37 (define @t182 () (not @t180)) % 279.02/279.37 (define @t183 () (not @t179)) % 279.02/279.37 (define @t184 () (not @t172)) % 279.02/279.37 (define @t185 () (tptp.f33 @t175 @t171 @t170 @t174 @t173)) % 279.02/279.37 (define @t186 () (tptp.member @t28 @t155)) % 279.02/279.37 (define @t187 () (not (tptp.member @t3 @t155))) % 279.02/279.37 (define @t188 () (not (tptp.member @t1 @t155))) % 279.02/279.37 (define @t189 () (tptp.associative @t155 @t118)) % 279.02/279.37 (define @t190 () (not @t189)) % 279.02/279.37 (define @t191 () (tptp.f34 @t155 @t118)) % 279.02/279.37 (define @t192 () (tptp.f35 @t155 @t118)) % 279.02/279.37 (define @t193 () (tptp.f36 @t155 @t118)) % 279.02/279.37 (define @t194 () (@var "Xe" $$unsorted)) % 279.02/279.37 (define @t195 () (tptp.member @t194 @t155)) % 279.02/279.37 (define @t196 () (tptp.identity @t155 @t118 @t194)) % 279.02/279.37 (define @t197 () (not @t196)) % 279.02/279.37 (define @t198 () (@list @t155 @t118 @t194)) % 279.02/279.37 (define @t199 () (@list @t155 @t118 @t194 @t1)) % 279.02/279.37 (define @t200 () (tptp.f37 @t155 @t118 @t194)) % 279.02/279.37 (define @t201 () (not @t195)) % 279.02/279.37 (define @t202 () (tptp.maps @t163 @t155 @t155)) % 279.02/279.37 (define @t203 () (tptp.inverse @t155 @t118 @t194 @t163)) % 279.02/279.37 (define @t204 () (not @t203)) % 279.02/279.37 (define @t205 () (@list @t155 @t118 @t194 @t163)) % 279.02/279.37 (define @t206 () (tptp.apply @t163 @t1)) % 279.02/279.37 (define @t207 () (@list @t155 @t118 @t194 @t163 @t1)) % 279.02/279.37 (define @t208 () (tptp.f38 @t155 @t118 @t194 @t163)) % 279.02/279.37 (define @t209 () (not @t202)) % 279.02/279.37 (define @t210 () (tptp.apply @t163 @t208)) % 279.02/279.37 (define @t211 () (tptp.group @t155 @t118)) % 279.02/279.37 (define @t212 () (not @t211)) % 279.02/279.37 (define @t213 () (tptp.f39 @t155 @t118)) % 279.02/279.37 (define @t214 () (tptp.commutes @t155 @t118)) % 279.02/279.37 (define @t215 () (tptp.f41 @t155 @t118)) % 279.02/279.37 (define @t216 () (tptp.f42 @t155 @t118)) % 279.02/279.37 (define @t217 () (tptp.f43 @t28 @t155)) % 279.02/279.37 (define @t218 () (not (tptp.member tptp.empty_set @t155))) % 279.02/279.37 (define @t219 () (tptp.member @t28 tptp.natural_numbers)) % 279.02/279.37 (define @t220 () (not @t219)) % 279.02/279.37 (define @t221 () (@list @t28 @t155)) % 279.02/279.37 (define @t222 () (tptp.f44 @t28)) % 279.02/279.37 (define @t223 () (@var "Xk" $$unsorted)) % 279.02/279.37 (define @t224 () (tptp.successor @t223)) % 279.02/279.37 (define @t225 () (tptp.f46 @t28 @t155)) % 279.02/279.37 (define @t226 () (tptp.member @t225 tptp.natural_numbers)) % 279.02/279.37 (define @t227 () (tptp.f45 @t28 @t155)) % 279.02/279.37 (define @t228 () (tptp.member @t227 tptp.natural_numbers)) % 279.02/279.37 (define @t229 () (tptp.member @t28 tptp.plus)) % 279.02/279.37 (define @t230 () (not @t229)) % 279.02/279.37 (define @t231 () (tptp.f47 @t28 @t155)) % 279.02/279.37 (define @t232 () (tptp.member @t231 tptp.natural_numbers)) % 279.02/279.37 (define @t233 () (tptp.f48 @t28 @t155)) % 279.02/279.37 (define @t234 () (tptp.member @t233 tptp.natural_numbers)) % 279.02/279.37 (define @t235 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t225 @t231) @t233) @t155)) % 279.02/279.37 (define @t236 () (not (tptp.member (tptp.ordered_pair (tptp.ordered_pair (tptp.successor @t225) @t231) (tptp.successor @t233)) @t155))) % 279.02/279.37 (define @t237 () (not (tptp.member (tptp.ordered_pair (tptp.ordered_pair tptp.empty_set @t227) @t227) @t155))) % 279.02/279.37 (define @t238 () (tptp.f49 @t28)) % 279.02/279.37 (define @t239 () (@var "Xi" $$unsorted)) % 279.02/279.37 (define @t240 () (tptp.ordered_pair tptp.empty_set @t239)) % 279.02/279.37 (define @t241 () (not (tptp.member @t239 tptp.natural_numbers))) % 279.02/279.37 (define @t242 () (@list @t28 @t239)) % 279.02/279.37 (define @t243 () (@var "Xj" $$unsorted)) % 279.02/279.37 (define @t244 () (@var "Uu1" $$unsorted)) % 279.02/279.37 (define @t245 () (not (tptp.member @t223 tptp.natural_numbers))) % 279.02/279.37 (define @t246 () (not (tptp.member @t243 tptp.natural_numbers))) % 279.02/279.37 (define @t247 () (tptp.f51 @t28 @t155)) % 279.02/279.37 (define @t248 () (tptp.member @t247 tptp.natural_numbers)) % 279.02/279.37 (define @t249 () (tptp.f50 @t28 @t155)) % 279.02/279.37 (define @t250 () (tptp.member @t249 tptp.natural_numbers)) % 279.02/279.37 (define @t251 () (tptp.member @t28 tptp.times)) % 279.02/279.37 (define @t252 () (not @t251)) % 279.02/279.37 (define @t253 () (tptp.f52 @t28 @t155)) % 279.02/279.37 (define @t254 () (tptp.member @t253 tptp.natural_numbers)) % 279.02/279.37 (define @t255 () (tptp.f53 @t28 @t155)) % 279.02/279.37 (define @t256 () (tptp.member @t255 tptp.natural_numbers)) % 279.02/279.37 (define @t257 () (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t247 @t253) @t255) @t155)) % 279.02/279.37 (define @t258 () (not (tptp.member (tptp.ordered_pair (tptp.ordered_pair (tptp.successor @t247) @t253) (tptp.apply_to_two_arguments tptp.plus @t255 @t253)) @t155))) % 279.02/279.37 (define @t259 () (not (tptp.member (tptp.ordered_pair (tptp.ordered_pair tptp.empty_set @t249) tptp.empty_set) @t155))) % 279.02/279.37 (define @t260 () (tptp.f54 @t28)) % 279.02/279.37 (define @t261 () (@var "Uu2" $$unsorted)) % 279.02/279.37 (define @t262 () (tptp.member @t28 tptp.prime_numbers)) % 279.02/279.37 (define @t263 () (not @t262)) % 279.02/279.37 (define @t264 () (= @t28 tptp.empty_set)) % 279.02/279.37 (define @t265 () (tptp.successor tptp.empty_set)) % 279.02/279.37 (define @t266 () (= @t28 @t265)) % 279.02/279.37 (define @t267 () (tptp.non_ordered_pair @t265 @t28)) % 279.02/279.37 (define @t268 () (tptp.f55 @t28)) % 279.02/279.37 (define @t269 () (tptp.f56 @t28)) % 279.02/279.37 (define @t270 () (tptp.f57 @t1)) % 279.02/279.37 (define @t271 () (tptp.finite @t1)) % 279.02/279.37 (define @t272 () (not @t271)) % 279.02/279.37 (define @t273 () (tptp.f58 @t1)) % 279.02/279.37 (define @t274 () (@var "Xn" $$unsorted)) % 279.02/279.37 (define @t275 () (tptp.member @t28 tptp.twin_prime_numbers)) % 279.02/279.37 (define @t276 () (not @t275)) % 279.02/279.37 (define @t277 () (tptp.member (tptp.successor (tptp.successor @t28)) tptp.prime_numbers)) % 279.02/279.37 (define @t278 () (tptp.member @t28 tptp.even_numbers)) % 279.02/279.37 (define @t279 () (not @t278)) % 279.02/279.37 (define @t280 () (tptp.f59 @t28)) % 279.02/279.37 (define @t281 () (tptp.member tptp.f75 tptp.natural_numbers)) % 279.02/279.37 (define @t282 () (= tptp.empty_set (tptp.successor tptp.f75))) % 279.02/279.37 (define @t283 () (tptp.non_ordered_pair tptp.f75 tptp.f75)) % 279.02/279.37 (define @t284 () (tptp.complement @t283)) % 279.02/279.37 (define @t285 () (tptp.complement tptp.f75)) % 279.02/279.37 (define @t286 () (tptp.intersection @t285 @t284)) % 279.02/279.37 (define @t287 () (tptp.complement @t286)) % 279.02/279.37 (define @t288 () (@var "BOUND_VARIABLE_9178" $$unsorted)) % 279.02/279.37 (define @t289 () (lambda (@list @t288) (tptp.complement (tptp.intersection (tptp.complement @t288) (tptp.complement (tptp.non_ordered_pair @t288 @t288)))))) % 279.02/279.37 (define @t290 () (_ @t289 tptp.f75)) % 279.02/279.37 (define @t291 () (tptp.complement (tptp.intersection @t61 (tptp.complement @t19)))) % 279.02/279.37 (define @t292 () (@var "BOUND_VARIABLE_9026" $$unsorted)) % 279.02/279.37 (define @t293 () (@var "BOUND_VARIABLE_9025" $$unsorted)) % 279.02/279.37 (define @t294 () (lambda (@list @t293 @t292) (tptp.complement (tptp.intersection (tptp.complement @t293) (tptp.complement @t292))))) % 279.02/279.37 (define @t295 () (@var "BOUND_VARIABLE_8928" $$unsorted)) % 279.02/279.37 (define @t296 () (lambda (@list @t295) (tptp.non_ordered_pair @t295 @t295))) % 279.02/279.37 (define @t297 () (_ @t296 @t1)) % 279.02/279.37 (define @t298 () (_ @t294 @t1 @t297)) % 279.02/279.37 (define @t299 () (= @t92 @t298)) % 279.02/279.37 (define @t300 () (tptp.little_set tptp.f75)) % 279.02/279.37 (define @t301 () (not @t281)) % 279.02/279.37 (define @t302 () (or @t301 @t300)) % 279.02/279.37 (define @t303 () (@list false false)) % 279.02/279.37 (define @t304 () (tptp.member tptp.f75 @t286)) % 279.02/279.37 (define @t305 () (not @t300)) % 279.02/279.37 (define @t306 () (tptp.member tptp.f75 @t287)) % 279.02/279.37 (define @t307 () (or @t306 @t305 @t304)) % 279.02/279.37 (define @t308 () (tptp.member @t9 (tptp.non_ordered_pair @t9 @t3))) % 279.02/279.37 (define @t309 () (not (= @t9 @t9))) % 279.02/279.37 (define @t310 () (or @t308 @t16 @t309)) % 279.02/279.37 (define @t311 () (@list @t9 @t3)) % 279.02/279.37 (define @t312 () (not (= @t1 @t9))) % 279.02/279.37 (define @t313 () (or @t312 @t13 @t16 @t312)) % 279.02/279.37 (define @t314 () (or @t13 @t16 @t312)) % 279.02/279.37 (define @t315 () (forall @t21 @t314)) % 279.02/279.37 (define @t316 () (forall @t311 @t315)) % 279.02/279.37 (define @t317 () (forall (@list @t9 @t3 @t1) @t314)) % 279.02/279.37 (define @t318 () (tptp.member tptp.f75 @t283)) % 279.02/279.37 (define @t319 () (or @t318 @t305)) % 279.02/279.37 (define @t320 () (not @t318)) % 279.02/279.37 (define @t321 () (tptp.member tptp.f75 @t284)) % 279.02/279.37 (define @t322 () (not @t321)) % 279.02/279.37 (define @t323 () (or @t322 @t320)) % 279.02/279.37 (define @t324 () (not @t304)) % 279.02/279.37 (define @t325 () (or @t324 @t321)) % 279.02/279.37 (define @t326 () (not @t325)) % 279.02/279.37 (define @t327 () (@list true false)) % 279.02/279.37 (assume @p1 (forall @t4 (or (not (tptp.member @t1 @t3)) @t2))) % 279.02/279.37 (assume @p2 (forall @t4 (or (tptp.little_set @t6) @t5))) % 279.02/279.37 (assume @p3 (forall @t4 (or @t8 @t7 @t5))) % 279.02/279.37 (assume @p4 (forall @t4 (or (not @t8) (not @t7) @t5))) % 279.02/279.37 (assume @p5 (forall @t14 (or (not @t13) @t11 @t10))) % 279.02/279.37 (assume @p6 @t18) % 279.02/279.37 (assume @p7 (forall @t14 (or @t13 @t16 (not @t10)))) % 279.02/279.37 (assume @p8 (forall @t4 (tptp.little_set @t12))) % 279.02/279.37 (assume @p9 @t22) % 279.02/279.37 (assume @p10 (forall @t4 (= @t23 (tptp.non_ordered_pair @t20 @t12)))) % 279.02/279.37 (assume @p11 (forall @t21 (or @t26 (tptp.little_set @t24)))) % 279.02/279.37 (assume @p12 (forall @t21 (or @t26 (tptp.little_set @t27)))) % 279.02/279.37 (assume @p13 (forall @t21 (or @t26 (= @t1 (tptp.ordered_pair @t24 @t27))))) % 279.02/279.37 (assume @p14 (forall (@list @t1 @t3 @t28) (or @t25 @t30 @t29 (not (= @t1 (tptp.ordered_pair @t3 @t28)))))) % 279.02/279.37 (assume @p15 (forall @t34 (or @t33 (tptp.little_set @t31)))) % 279.02/279.37 (assume @p16 (forall @t34 (or @t33 (tptp.little_set @t35)))) % 279.02/279.37 (assume @p17 (forall @t34 (or @t33 (= @t1 (tptp.ordered_pair @t31 @t35))))) % 279.02/279.37 (assume @p18 (forall @t34 (or @t33 (tptp.member @t28 @t31)))) % 279.02/279.37 (assume @p19 (forall @t40 (or @t32 @t16 @t39 @t38 (not (tptp.member @t28 @t9))))) % 279.02/279.37 (assume @p20 (forall @t34 (or @t43 (tptp.little_set @t41)))) % 279.02/279.37 (assume @p21 (forall @t34 (or @t43 (tptp.little_set @t44)))) % 279.02/279.37 (assume @p22 (forall @t34 (or @t43 (= @t1 (tptp.ordered_pair @t41 @t44))))) % 279.02/279.37 (assume @p23 (forall @t34 (or @t43 (tptp.member @t28 @t44)))) % 279.02/279.37 (assume @p24 (forall @t40 (or @t42 @t16 @t39 @t38 (not (tptp.member @t28 @t36))))) % 279.02/279.37 (assume @p25 (forall @t48 (or @t47 @t45))) % 279.02/279.37 (assume @p26 (forall @t48 (or @t47 @t51))) % 279.02/279.37 (assume @p27 (forall @t48 (or @t46 @t29 @t52 (not @t51)))) % 279.02/279.37 (assume @p28 (forall @t56 (or @t55 @t53))) % 279.02/279.37 (assume @p29 @t58) % 279.02/279.37 (assume @p30 (forall @t56 (or @t54 @t60 @t59))) % 279.02/279.37 (assume @p31 (forall @t34 (or (not @t62) @t60))) % 279.02/279.37 (assume @p32 (forall @t34 (or @t62 @t29 @t53))) % 279.02/279.37 (assume @p33 @t63) % 279.02/279.37 (assume @p34 (forall @t34 (or @t66 (tptp.ordered_pair_predicate @t64)))) % 279.02/279.37 (assume @p35 (forall @t34 (or @t66 (tptp.member @t64 @t1)))) % 279.02/279.37 (assume @p36 (forall @t34 (or @t66 (= @t28 (tptp.first @t64))))) % 279.02/279.37 (assume @p37 (forall @t70 (or @t65 @t29 @t69 @t68 (not (= @t28 (tptp.first @t67)))))) % 279.02/279.37 (assume @p38 (forall @t56 (or @t72 @t45))) % 279.02/279.37 (assume @p39 (forall @t56 (or @t72 @t73))) % 279.02/279.37 (assume @p40 (forall @t56 (or @t72 @t74))) % 279.02/279.37 (assume @p41 (forall @t56 (or @t71 @t29 @t52 (not @t73) (not @t74)))) % 279.02/279.37 (assume @p42 (forall @t34 (or @t76 @t45))) % 279.02/279.37 (assume @p43 (forall @t34 (or @t76 @t77))) % 279.02/279.37 (assume @p44 (forall @t34 (or @t75 @t29 @t52 (not @t77)))) % 279.02/279.37 (assume @p45 (forall @t34 (or @t80 (tptp.little_set @t78)))) % 279.02/279.37 (assume @p46 (forall @t34 (or @t80 (tptp.little_set @t81)))) % 279.02/279.37 (assume @p47 (forall @t34 (or @t80 (tptp.little_set @t82)))) % 279.02/279.37 (assume @p48 (forall @t34 (or @t80 (= @t28 (tptp.ordered_pair @t78 (tptp.ordered_pair @t81 @t82)))))) % 279.02/279.37 (assume @p49 (forall @t34 (or @t80 (tptp.member (tptp.ordered_pair @t81 (tptp.ordered_pair @t82 @t78)) @t1)))) % 279.02/279.37 (assume @p50 (forall @t86 (or @t79 @t29 @t16 @t39 @t85 @t84 (not (tptp.member (tptp.ordered_pair @t36 (tptp.ordered_pair @t83 @t9)) @t1))))) % 279.02/279.37 (assume @p51 (forall @t34 (or @t89 (tptp.little_set @t87)))) % 279.02/279.37 (assume @p52 (forall @t34 (or @t89 (tptp.little_set @t90)))) % 279.02/279.37 (assume @p53 (forall @t34 (or @t89 (tptp.little_set @t91)))) % 279.02/279.37 (assume @p54 (forall @t34 (or @t89 (= @t28 (tptp.ordered_pair @t87 (tptp.ordered_pair @t90 @t91)))))) % 279.02/279.37 (assume @p55 (forall @t34 (or @t89 (tptp.member (tptp.ordered_pair @t87 (tptp.ordered_pair @t91 @t90)) @t1)))) % 279.02/279.37 (assume @p56 (forall @t86 (or @t88 @t29 @t16 @t39 @t85 @t84 (not (tptp.member (tptp.ordered_pair @t9 (tptp.ordered_pair @t83 @t36)) @t1))))) % 279.02/279.37 (assume @p57 @t94) % 279.02/279.37 (assume @p58 @t97) % 279.02/279.37 (assume @p59 (forall @t48 (or (tptp.member @t28 tptp.universal_set) @t29))) % 279.02/279.37 (assume @p60 (tptp.little_set tptp.infinity)) % 279.02/279.37 (assume @p61 (tptp.member tptp.empty_set tptp.infinity)) % 279.02/279.37 (assume @p62 (forall @t21 (or (not (tptp.member @t1 tptp.infinity)) (tptp.member @t92 tptp.infinity)))) % 279.02/279.37 (assume @p63 (forall @t34 (or @t100 (tptp.member @t98 @t1)))) % 279.02/279.37 (assume @p64 (forall @t34 (or @t100 (tptp.member @t28 @t98)))) % 279.02/279.37 (assume @p65 (forall @t56 (or @t99 (not (tptp.member @t3 @t1)) @t59))) % 279.02/279.37 (assume @p66 (forall @t101 (or @t16 (tptp.little_set (tptp.sigma @t9))))) % 279.02/279.37 (assume @p67 (forall @t106 (or @t105 @t103 @t102))) % 279.02/279.37 (assume @p68 (forall @t4 (or @t104 (tptp.member @t107 @t1)))) % 279.02/279.37 (assume @p69 (forall @t4 (or @t104 (not (tptp.member @t107 @t3))))) % 279.02/279.37 (assume @p70 (forall @t4 (or @t109 @t104))) % 279.02/279.37 (assume @p71 (forall @t4 (or @t109 (not @t5)))) % 279.02/279.37 (assume @p72 (forall @t4 (or @t108 @t105 @t5))) % 279.02/279.37 (assume @p73 (forall @t34 (or (not @t111) @t110))) % 279.02/279.37 (assume @p74 (forall @t34 (or @t111 @t29 (not @t110)))) % 279.02/279.37 (assume @p75 (forall @t101 (or @t16 (tptp.little_set (tptp.powerset @t9))))) % 279.02/279.37 (assume @p76 (forall @t34 (or (not @t112) (not (tptp.member @t1 @t28)) @t25))) % 279.02/279.37 (assume @p77 (forall @t48 (or @t112 (tptp.member @t113 @t28)))) % 279.02/279.37 (assume @p78 (forall @t48 (or @t112 (not (tptp.ordered_pair_predicate @t113))))) % 279.02/279.37 (assume @p79 (forall (@list @t1 @t9 @t36 @t83) (or (not @t114) @t16 @t39 @t85 (not (tptp.member @t37 @t1)) (not (tptp.member (tptp.ordered_pair @t9 @t83) @t1)) (= @t36 @t83)))) % 279.02/279.37 (assume @p80 (forall @t21 (or @t114 (tptp.little_set @t115)))) % 279.02/279.37 (assume @p81 (forall @t21 (or @t114 (tptp.little_set @t116)))) % 279.02/279.37 (assume @p82 (forall @t21 (or @t114 (tptp.little_set @t117)))) % 279.02/279.37 (assume @p83 (forall @t21 (or @t114 (tptp.member (tptp.ordered_pair @t115 @t116) @t1)))) % 279.02/279.37 (assume @p84 (forall @t21 (or @t114 (tptp.member (tptp.ordered_pair @t115 @t117) @t1)))) % 279.02/279.37 (assume @p85 (forall @t21 (or @t114 (not (= @t116 @t117))))) % 279.02/279.37 (assume @p86 (forall @t122 (or @t121 @t119))) % 279.02/279.37 (assume @p87 (forall @t122 (or @t121 @t123))) % 279.02/279.37 (assume @p88 (forall @t122 (or @t120 (not @t119) (not @t123)))) % 279.02/279.37 (assume @p89 (forall @t128 (or @t127 (tptp.ordered_pair_predicate @t124)))) % 279.02/279.37 (assume @p90 (forall @t128 (or @t127 (tptp.member @t124 @t118)))) % 279.02/279.37 (assume @p91 (forall @t128 (or @t127 (tptp.member (tptp.first @t124) @t1)))) % 279.02/279.37 (assume @p92 (forall @t128 (or @t127 (= (tptp.second @t124) @t28)))) % 279.02/279.37 (assume @p93 (forall (@list @t28 @t1 @t118 @t3) (or @t126 @t29 (not (tptp.ordered_pair_predicate @t3)) (not (tptp.member @t3 @t118)) (not (tptp.member (tptp.first @t3) @t1)) (not (= (tptp.second @t3) @t28))))) % 279.02/279.37 (assume @p94 (forall (@list @t1 @t118) (or @t129 @t121 (tptp.little_set @t125)))) % 279.02/279.37 (assume @p95 (forall @t106 (or (not @t130) @t103 (not @t102)))) % 279.02/279.37 (assume @p96 (forall @t4 (or @t130 (tptp.member @t131 @t1)))) % 279.02/279.37 (assume @p97 (forall @t4 (or @t130 (tptp.member @t131 @t3)))) % 279.02/279.37 (assume @p98 (forall @t21 (or @t133 (tptp.member @t132 @t1)))) % 279.02/279.37 (assume @p99 (forall @t21 (or @t133 (tptp.disjoint @t132 @t1)))) % 279.02/279.37 (assume @p100 (tptp.function tptp.f25)) % 279.02/279.37 (assume @p101 (forall @t21 (or @t129 @t133 (tptp.member @t134 @t1)))) % 279.02/279.37 (assume @p102 (forall @t21 (or @t129 @t133 (tptp.member (tptp.ordered_pair @t1 @t134) tptp.f25)))) % 279.02/279.37 (assume @p103 (forall @t34 (or @t137 (tptp.ordered_pair_predicate @t135)))) % 279.02/279.37 (assume @p104 (forall @t34 (or @t137 (tptp.member @t135 @t1)))) % 279.02/279.37 (assume @p105 (forall @t34 (or @t137 (= @t28 (tptp.second @t135))))) % 279.02/279.37 (assume @p106 (forall @t70 (or @t136 @t29 @t69 @t68 (not (= @t28 (tptp.second @t67)))))) % 279.02/279.37 (assume @p107 (forall @t48 (or @t139 @t45))) % 279.02/279.37 (assume @p108 (forall @t48 (or @t139 @t140))) % 279.02/279.37 (assume @p109 (forall @t48 (or @t138 @t29 @t52 (not @t140)))) % 279.02/279.37 (assume @p110 (forall @t4 (= (tptp.restrict @t1 @t3) (tptp.intersection @t1 (tptp.cross_product @t3 tptp.universal_set))))) % 279.02/279.37 (assume @p111 (forall @t122 (or @t142 @t120))) % 279.02/279.37 (assume @p112 (forall @t122 (or @t142 @t143))) % 279.02/279.37 (assume @p113 (forall @t122 (or @t141 @t121 (not @t143)))) % 279.02/279.37 (assume @p114 (forall @t147 (or @t146 (tptp.ordered_pair_predicate @t144)))) % 279.02/279.37 (assume @p115 (forall @t147 (or @t146 (tptp.member @t144 @t118)))) % 279.02/279.37 (assume @p116 (forall @t147 (or @t146 (= (tptp.first @t144) @t3)))) % 279.02/279.37 (assume @p117 (forall @t147 (or @t146 (tptp.member @t28 (tptp.second @t144))))) % 279.02/279.37 (assume @p118 (forall (@list @t28 @t118 @t3 @t83) (or @t145 (not (tptp.ordered_pair_predicate @t83)) (not (tptp.member @t83 @t118)) (not (= (tptp.first @t83) @t3)) (not (tptp.member @t28 (tptp.second @t83)))))) % 279.02/279.37 (assume @p119 (forall @t149 (= @t148 (tptp.apply @t118 @t23)))) % 279.02/279.37 (assume @p120 (forall @t149 (or @t151 @t120))) % 279.02/279.37 (assume @p121 (forall @t149 (or @t151 @t152))) % 279.02/279.37 (assume @p122 (forall @t149 (or @t151 @t154))) % 279.02/279.37 (assume @p123 (forall @t149 (or @t150 @t121 (not @t152) (not @t154)))) % 279.02/279.37 (assume @p124 (forall @t159 (or @t158 @t156))) % 279.02/279.37 (assume @p125 (forall @t159 (or @t158 @t160))) % 279.02/279.37 (assume @p126 (forall @t159 (or @t158 @t161))) % 279.02/279.37 (assume @p127 (forall @t159 (or @t157 @t162 (not @t160) (not @t161)))) % 279.02/279.37 (assume @p128 (forall @t167 (or @t166 (tptp.little_set @t164)))) % 279.02/279.37 (assume @p129 (forall @t167 (or @t166 (tptp.little_set @t168)))) % 279.02/279.37 (assume @p130 (forall @t167 (or @t166 (tptp.little_set @t169)))) % 279.02/279.37 (assume @p131 (forall @t167 (or @t166 (= @t28 (tptp.ordered_pair @t164 @t168))))) % 279.02/279.37 (assume @p132 (forall @t167 (or @t166 (tptp.member (tptp.ordered_pair @t164 @t169) @t118)))) % 279.02/279.37 (assume @p133 (forall @t167 (or @t166 (tptp.member (tptp.ordered_pair @t169 @t168) @t163)))) % 279.02/279.37 (assume @p134 (forall (@list @t28 @t118 @t163 @t1 @t3 @t83) (or @t165 @t29 @t129 @t30 @t85 (not (= @t28 @t23)) (not (tptp.member (tptp.ordered_pair @t1 @t83) @t118)) (not (tptp.member (tptp.ordered_pair @t83 @t3) @t163))))) % 279.02/279.37 (assume @p135 (forall @t178 (or @t177 @t172))) % 279.02/279.37 (assume @p136 (forall @t178 (or @t177 @t179))) % 279.02/279.37 (assume @p137 (forall @t178 (or @t177 @t180))) % 279.02/279.37 (assume @p138 (forall (@list @t175 @t171 @t170 @t174 @t173 @t1 @t3) (or @t177 (not (tptp.member @t1 @t171)) (not (tptp.member @t3 @t171)) (= (tptp.apply @t175 (tptp.apply_to_two_arguments @t170 @t1 @t3)) (tptp.apply_to_two_arguments @t173 (tptp.apply @t175 @t1) (tptp.apply @t175 @t3)))))) % 279.02/279.37 (assume @p139 (forall @t178 (or @t176 @t184 @t183 @t182 (tptp.member @t181 @t171)))) % 279.02/279.37 (assume @p140 (forall @t178 (or @t176 @t184 @t183 @t182 (tptp.member @t185 @t171)))) % 279.02/279.37 (assume @p141 (forall @t178 (or @t176 @t184 @t183 @t182 (not (= (tptp.apply @t175 (tptp.apply_to_two_arguments @t170 @t181 @t185)) (tptp.apply_to_two_arguments @t173 (tptp.apply @t175 @t181) (tptp.apply @t175 @t185))))))) % 279.02/279.37 (assume @p142 (forall (@list @t155 @t118 @t1 @t3 @t28) (or @t190 @t188 @t187 (not @t186) (= (tptp.apply_to_two_arguments @t118 @t148 @t28) (tptp.apply_to_two_arguments @t118 @t1 (tptp.apply_to_two_arguments @t118 @t3 @t28)))))) % 279.02/279.37 (assume @p143 (forall @t159 (or @t189 (tptp.member @t191 @t155)))) % 279.02/279.37 (assume @p144 (forall @t159 (or @t189 (tptp.member @t192 @t155)))) % 279.02/279.37 (assume @p145 (forall @t159 (or @t189 (tptp.member @t193 @t155)))) % 279.02/279.37 (assume @p146 (forall @t159 (or @t189 (not (= (tptp.apply_to_two_arguments @t118 (tptp.apply_to_two_arguments @t118 @t191 @t192) @t193) (tptp.apply_to_two_arguments @t118 @t191 (tptp.apply_to_two_arguments @t118 @t192 @t193))))))) % 279.02/279.37 (assume @p147 (forall @t198 (or @t197 @t195))) % 279.02/279.37 (assume @p148 (forall @t199 (or @t197 @t188 (= (tptp.apply_to_two_arguments @t118 @t194 @t1) @t1)))) % 279.02/279.37 (assume @p149 (forall @t199 (or @t197 @t188 (= (tptp.apply_to_two_arguments @t118 @t1 @t194) @t1)))) % 279.02/279.37 (assume @p150 (forall @t198 (or @t196 @t201 (tptp.member @t200 @t155)))) % 279.02/279.37 (assume @p151 (forall @t198 (or @t196 @t201 (not (= (tptp.apply_to_two_arguments @t118 @t194 @t200) @t200)) (not (= (tptp.apply_to_two_arguments @t118 @t200 @t194) @t200))))) % 279.02/279.37 (assume @p152 (forall @t205 (or @t204 @t202))) % 279.02/279.37 (assume @p153 (forall @t207 (or @t204 @t188 (= (tptp.apply_to_two_arguments @t118 @t206 @t1) @t194)))) % 279.02/279.37 (assume @p154 (forall @t207 (or @t204 @t188 (= (tptp.apply_to_two_arguments @t118 @t1 @t206) @t194)))) % 279.02/279.37 (assume @p155 (forall @t205 (or @t203 @t209 (tptp.member @t208 @t155)))) % 279.02/279.37 (assume @p156 (forall @t205 (or @t203 @t209 (not (= (tptp.apply_to_two_arguments @t118 @t210 @t208) @t194)) (not (= (tptp.apply_to_two_arguments @t118 @t208 @t210) @t194))))) % 279.02/279.37 (assume @p157 (forall @t159 (or @t212 @t157))) % 279.02/279.37 (assume @p158 (forall @t159 (or @t212 @t189))) % 279.02/279.37 (assume @p159 (forall @t159 (or @t212 (tptp.identity @t155 @t118 @t213)))) % 279.02/279.37 (assume @p160 (forall @t159 (or @t212 (tptp.inverse @t155 @t118 @t213 (tptp.f40 @t155 @t118))))) % 279.02/279.37 (assume @p161 (forall @t205 (or @t211 @t158 @t190 @t197 @t204))) % 279.02/279.37 (assume @p162 (forall (@list @t155 @t118 @t1 @t3) (or (not @t214) @t188 @t187 (= @t148 (tptp.apply_to_two_arguments @t118 @t3 @t1))))) % 279.02/279.37 (assume @p163 (forall @t159 (or @t214 (tptp.member @t215 @t155)))) % 279.02/279.37 (assume @p164 (forall @t159 (or @t214 (tptp.member @t216 @t155)))) % 279.02/279.37 (assume @p165 (forall @t159 (or @t214 (not (= (tptp.apply_to_two_arguments @t118 @t215 @t216) (tptp.apply_to_two_arguments @t118 @t216 @t215)))))) % 279.02/279.37 (assume @p166 (forall @t221 (or @t220 @t162 @t218 (tptp.member @t217 @t155) @t186))) % 279.02/279.37 (assume @p167 (forall @t221 (or @t220 @t162 @t218 (not (tptp.member (tptp.successor @t217) @t155)) @t186))) % 279.02/279.37 (assume @p168 (forall @t48 (or @t219 @t29 (tptp.little_set @t222)))) % 279.02/279.37 (assume @p169 (forall @t48 (or @t219 @t29 (tptp.member tptp.empty_set @t222)))) % 279.02/279.37 (assume @p170 (forall (@list @t28 @t223) (or @t219 @t29 (not (tptp.member @t223 @t222)) (tptp.member @t224 @t222)))) % 279.02/279.37 (assume @p171 (forall @t48 (or @t219 (not (tptp.member @t28 @t222))))) % 279.02/279.37 (assume @p172 (forall @t221 (or @t230 @t162 @t228 @t226 @t186))) % 279.02/279.37 (assume @p173 (forall @t221 (or @t230 @t162 @t228 @t232 @t186))) % 279.02/279.37 (assume @p174 (forall @t221 (or @t230 @t162 @t228 @t234 @t186))) % 279.02/279.37 (assume @p175 (forall @t221 (or @t230 @t162 @t228 @t235 @t186))) % 279.02/279.37 (assume @p176 (forall @t221 (or @t230 @t162 @t228 @t236 @t186))) % 279.02/279.37 (assume @p177 (forall @t221 (or @t230 @t162 @t237 @t226 @t186))) % 279.02/279.37 (assume @p178 (forall @t221 (or @t230 @t162 @t237 @t232 @t186))) % 279.02/279.37 (assume @p179 (forall @t221 (or @t230 @t162 @t237 @t234 @t186))) % 279.02/279.37 (assume @p180 (forall @t221 (or @t230 @t162 @t237 @t235 @t186))) % 279.02/279.37 (assume @p181 (forall @t221 (or @t230 @t162 @t237 @t236 @t186))) % 279.02/279.37 (assume @p182 (forall @t48 (or @t229 @t29 (tptp.little_set @t238)))) % 279.02/279.37 (assume @p183 (forall @t242 (or @t229 @t29 @t241 (tptp.member (tptp.ordered_pair @t240 @t239) @t238)))) % 279.02/279.37 (assume @p184 (forall (@list @t28 @t244 @t243 @t223) (or @t229 @t29 (not (tptp.member @t244 tptp.natural_numbers)) @t246 @t245 (not (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t244 @t243) @t223) @t238)) (tptp.member (tptp.ordered_pair (tptp.ordered_pair (tptp.successor @t244) @t243) @t224) @t238)))) % 279.02/279.37 (assume @p185 (forall @t48 (or @t229 (not (tptp.member @t28 @t238))))) % 279.02/279.37 (assume @p186 (forall @t221 (or @t252 @t162 @t250 @t248 @t186))) % 279.02/279.37 (assume @p187 (forall @t221 (or @t252 @t162 @t250 @t254 @t186))) % 279.02/279.37 (assume @p188 (forall @t221 (or @t252 @t162 @t250 @t256 @t186))) % 279.02/279.37 (assume @p189 (forall @t221 (or @t252 @t162 @t250 @t257 @t186))) % 279.02/279.37 (assume @p190 (forall @t221 (or @t252 @t162 @t250 @t258 @t186))) % 279.02/279.37 (assume @p191 (forall @t221 (or @t252 @t162 @t259 @t248 @t186))) % 279.02/279.37 (assume @p192 (forall @t221 (or @t252 @t162 @t259 @t254 @t186))) % 279.02/279.37 (assume @p193 (forall @t221 (or @t252 @t162 @t259 @t256 @t186))) % 279.02/279.37 (assume @p194 (forall @t221 (or @t252 @t162 @t259 @t257 @t186))) % 279.02/279.37 (assume @p195 (forall @t221 (or @t252 @t162 @t259 @t258 @t186))) % 279.02/279.37 (assume @p196 (forall @t48 (or @t251 @t29 (tptp.little_set @t260)))) % 279.02/279.37 (assume @p197 (forall @t242 (or @t251 @t29 @t241 (tptp.member (tptp.ordered_pair @t240 tptp.empty_set) @t260)))) % 279.02/279.37 (assume @p198 (forall (@list @t28 @t261 @t243 @t223) (or @t251 @t29 (not (tptp.member @t261 tptp.natural_numbers)) @t246 @t245 (not (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t261 @t243) @t223) @t260)) (tptp.member (tptp.ordered_pair (tptp.ordered_pair (tptp.successor @t261) @t243) (tptp.apply_to_two_arguments tptp.plus @t223 @t243)) @t260)))) % 279.02/279.37 (assume @p199 (forall @t48 (or @t251 (not (tptp.member @t28 @t260))))) % 279.02/279.37 (assume @p200 (forall @t48 (or @t263 @t219))) % 279.02/279.37 (assume @p201 (forall @t48 (or @t263 (not @t264)))) % 279.02/279.37 (assume @p202 (forall @t48 (or @t263 (not @t266)))) % 279.02/279.37 (assume @p203 (forall (@list @t28 @t9 @t36) (or @t263 (not (tptp.member @t9 tptp.natural_numbers)) (not (tptp.member @t36 tptp.natural_numbers)) (not (= (tptp.apply_to_two_arguments tptp.times @t9 @t36) @t28)) (tptp.member @t9 @t267)))) % 279.02/279.37 (assume @p204 (forall @t48 (or @t262 @t220 @t264 @t266 (tptp.member @t268 tptp.natural_numbers)))) % 279.02/279.37 (assume @p205 (forall @t48 (or @t262 @t220 @t264 @t266 (tptp.member @t269 tptp.natural_numbers)))) % 279.02/279.37 (assume @p206 (forall @t48 (or @t262 @t220 @t264 @t266 (= (tptp.apply_to_two_arguments tptp.times @t268 @t269) @t28)))) % 279.02/279.37 (assume @p207 (forall @t48 (or @t262 @t220 @t264 @t266 (not (tptp.member @t268 @t267))))) % 279.02/279.37 (assume @p208 (forall @t21 (or @t272 (tptp.member @t270 tptp.natural_numbers)))) % 279.02/279.37 (assume @p209 (forall @t21 (or @t272 (tptp.maps @t273 @t270 @t1)))) % 279.02/279.37 (assume @p210 (forall @t21 (or @t272 (= (tptp.range_of @t273) @t1)))) % 279.02/279.37 (assume @p211 (forall @t21 (or @t272 (tptp.one_to_one_function @t273)))) % 279.02/279.37 (assume @p212 (forall (@list @t1 @t274 @t118) (or @t271 (not (tptp.member @t274 tptp.natural_numbers)) (not (tptp.maps @t118 @t274 @t1)) (not (= @t153 @t1)) @t142))) % 279.02/279.37 (assume @p213 (forall @t48 (or @t276 @t262))) % 279.02/279.37 (assume @p214 (forall @t48 (or @t276 @t277))) % 279.02/279.37 (assume @p215 (forall @t48 (or @t275 @t263 (not @t277)))) % 279.02/279.37 (assume @p216 (forall @t48 (or @t279 @t219))) % 279.02/279.37 (assume @p217 (forall @t48 (or @t279 (tptp.member @t280 tptp.natural_numbers)))) % 279.02/279.37 (assume @p218 (forall @t48 (or @t279 (= (tptp.apply_to_two_arguments tptp.plus @t280 @t280) @t28)))) % 279.02/279.37 (assume @p219 (forall @t34 (or @t278 @t220 (not (tptp.member @t1 tptp.natural_numbers)) (not (= (tptp.apply_to_two_arguments tptp.plus @t1 @t1) @t28))))) % 279.02/279.37 (assume @p220 @t281) % 279.02/279.37 (assume @p221 @t282) % 279.02/279.37 (step @p222 :rule instantiate :premises (@p32) :args ((@list tptp.f75 @t286))) % 279.02/279.37 (step @p223 :rule beta-reduce :args ((= @t290 @t287))) % 279.02/279.37 (step @p224 :rule refl :args (tptp.empty_set)) % 279.02/279.37 (step @p225 :rule cong :premises (@p224 @p223) :args ((= tptp.empty_set @t290))) % 279.02/279.37 (step @p226 :rule refl :args (tptp.f75)) % 279.02/279.37 ; WARNING: add trust step for TRUST % 279.02/279.37 ; trust TRUST SUBS_EQ % 279.02/279.37 (step @p227 :rule trust :premises () :args ((= (forall @t21 (= @t92 @t291)) (= tptp.successor @t289)))) % 279.02/279.37 (step @p228 :rule beta-reduce :args ((= (_ @t294 @t1 @t19) @t291))) % 279.02/279.37 (step @p229 :rule beta-reduce :args ((= @t297 @t19))) % 279.02/279.37 (step @p230 :rule refl :args (@t1)) % 279.02/279.37 (step @p231 :rule cong :premises (@p230 @p229) :args (@t298)) % 279.02/279.37 (step @p232 :rule trans :premises (@p231 @p228)) % 279.02/279.37 (step @p233 :rule refl :args (@t92)) % 279.02/279.37 (step @p234 :rule cong :premises (@p233 @p232) :args (@t299)) % 279.02/279.37 (step @p235 :rule cong :premises (@p234) :args ((forall @t21 @t299))) % 279.02/279.37 ; trust TRUST SUBS_EQ % 279.02/279.37 (step @p236 :rule trust :premises () :args ((= @t22 (= tptp.singleton_set @t296)))) % 279.02/279.37 (step @p237 :rule eq_resolve :premises (@p9 @p236)) % 279.02/279.37 (step @p238 :rule ho_cong :premises (@p237 @p230)) % 279.02/279.37 ; trust TRUST SUBS_EQ % 279.02/279.37 (step @p239 :rule trust :premises () :args ((= @t63 (= tptp.union @t294)))) % 279.02/279.37 (step @p240 :rule eq_resolve :premises (@p33 @p239)) % 279.02/279.37 (step @p241 :rule ho_cong :premises (@p240 @p230 @p238)) % 279.02/279.37 (step @p242 :rule cong :premises (@p233 @p241) :args (@t93)) % 279.02/279.37 (step @p243 :rule cong :premises (@p242) :args (@t94)) % 279.02/279.37 (step @p244 :rule trans :premises (@p243 @p235)) % 279.02/279.37 (step @p245 :rule eq_resolve :premises (@p57 @p244)) % 279.02/279.37 (step @p246 :rule eq_resolve :premises (@p245 @p227)) % 279.02/279.37 (step @p247 :rule ho_cong :premises (@p246 @p226)) % 279.02/279.37 (step @p248 :rule cong :premises (@p224 @p247) :args (@t282)) % 279.02/279.37 (step @p249 :rule trans :premises (@p248 @p225)) % 279.02/279.37 (step @p250 :rule eq_resolve :premises (@p221 @p249)) % 279.02/279.37 (step @p251 :rule refl :args (@t28)) % 279.02/279.37 (step @p252 :rule cong :premises (@p251 @p250) :args (@t95)) % 279.02/279.37 (step @p253 :rule cong :premises (@p252) :args (@t96)) % 279.02/279.37 (step @p254 :rule cong :premises (@p253) :args (@t97)) % 279.02/279.37 (step @p255 :rule eq_resolve :premises (@p58 @p254)) % 279.02/279.37 (step @p256 :rule instantiate :premises (@p255) :args ((@list tptp.f75))) % 279.02/279.37 (step @p257 :rule instantiate :premises (@p1) :args ((@list tptp.f75 tptp.natural_numbers))) % 279.02/279.37 (step @p258 :rule cnf_or_pos :args (@t302)) % 279.02/279.37 (step @p259 :rule reordering :premises (@p258) :args ((or @t301 @t300 (not @t302)))) % 279.02/279.37 (step @p260 :rule chain_m_resolution :premises (@p259 @p220 @p257) :args (@t300 @t303 (@list @t281 @t302))) % 279.02/279.37 (step @p261 :rule cnf_or_pos :args (@t307)) % 279.02/279.37 (step @p262 :rule reordering :premises (@p261) :args ((or @t305 @t306 @t304 (not @t307)))) % 279.02/279.37 (step @p263 :rule chain_m_resolution :premises (@p262 @p260 @p256 @p222) :args (@t304 (@list false true false) (@list @t300 @t306 @t307))) % 279.02/279.37 (step @p264 :rule instantiate :premises (@p31) :args ((@list tptp.f75 @t283))) % 279.02/279.37 (step @p265 :rule aci_norm :args ((= (or @t308 @t16 false) (or @t308 @t16)))) % 279.02/279.37 (step @p266 :rule evaluate :args ((not true))) % 279.02/279.37 (step @p267 :rule eq-refl :args (@t9)) % 279.02/279.37 (step @p268 :rule cong :premises (@p267) :args (@t309)) % 279.02/279.37 (step @p269 :rule trans :premises (@p268 @p266)) % 279.02/279.37 (step @p270 :rule refl :args (@t16)) % 279.02/279.37 (step @p271 :rule refl :args (@t308)) % 279.02/279.37 (step @p272 :rule nary_cong :premises (@p271 @p270 @p269) :args (@t310)) % 279.02/279.37 (step @p273 :rule trans :premises (@p272 @p265)) % 279.02/279.37 (step @p274 :rule cong :premises (@p273) :args ((forall @t311 @t310))) % 279.02/279.37 (step @p275 :rule quant-var-elim-eq :args ((= (forall @t21 @t313) @t310))) % 279.02/279.37 (step @p276 :rule aci_norm :args ((= @t314 @t313))) % 279.02/279.37 (step @p277 :rule cong :premises (@p276) :args (@t315)) % 279.02/279.37 (step @p278 :rule trans :premises (@p277 @p275)) % 279.02/279.37 (step @p279 :rule cong :premises (@p278) :args (@t316)) % 279.02/279.37 (step @p280 :rule quant-merge-prenex :args ((= @t316 @t317))) % 279.02/279.37 (step @p281 :rule symm :premises (@p280)) % 279.02/279.37 (step @p282 :rule quant_var_reordering :args ((= (forall @t14 @t314) @t317))) % 279.02/279.37 (step @p283 :rule trans :premises (@p282 @p281 @p279)) % 279.02/279.37 (step @p284 :rule trans :premises (@p283 @p274)) % 279.02/279.37 (step @p285 :rule eq-symm :args (@t9 @t1)) % 279.02/279.37 (step @p286 :rule cong :premises (@p285) :args (@t15)) % 279.02/279.37 (step @p287 :rule refl :args (@t13)) % 279.02/279.37 (step @p288 :rule nary_cong :premises (@p287 @p270 @p286) :args (@t17)) % 279.02/279.37 (step @p289 :rule cong :premises (@p288) :args (@t18)) % 279.02/279.37 (step @p290 :rule trans :premises (@p289 @p284)) % 279.02/279.37 (step @p291 :rule eq_resolve :premises (@p6 @p290)) % 279.02/279.37 (step @p292 :rule instantiate :premises (@p291) :args ((@list tptp.f75 tptp.f75))) % 279.02/279.37 (step @p293 :rule cnf_or_pos :args (@t319)) % 279.02/279.37 (step @p294 :rule reordering :premises (@p293) :args ((or @t318 @t305 (not @t319)))) % 279.02/279.37 (step @p295 :rule chain_m_resolution :premises (@p294 @p260 @p292) :args (@t318 @t303 (@list @t300 @t319))) % 279.02/279.37 (step @p296 :rule cnf_or_pos :args (@t323)) % 279.02/279.37 (step @p297 :rule reordering :premises (@p296) :args ((or @t320 @t322 (not @t323)))) % 279.02/279.37 (step @p298 :rule chain_m_resolution :premises (@p297 @p295 @p264) :args (@t322 @t303 (@list @t318 @t323))) % 279.02/279.37 (step @p299 :rule cnf_or_pos :args (@t325)) % 279.02/279.37 (step @p300 :rule reordering :premises (@p299) :args ((or @t321 @t324 @t326))) % 279.02/279.37 (step @p301 :rule chain_m_resolution :premises (@p300 @p298 @p263) :args (@t326 @t327 (@list @t321 @t304))) % 279.02/279.37 (assume-push @p308 @t58) % 279.02/279.37 (step @p303 :rule instantiate :premises (@p29) :args ((@list tptp.f75 @t285 @t284))) % 279.02/279.37 (step-pop @p309 :rule scope :premises (@p303)) % 279.02/279.37 (step @p304 :rule process_scope :premises (@p309) :args (@t325)) % 279.02/279.37 (step @p306 :rule implies_elim :premises (@p304)) % 279.02/279.37 (step @p307 false :rule chain_m_resolution :premises (@p306 @p301 @p29) :args (false @t327 (@list @t325 @t58))) % 279.02/279.37 ) % 279.02/279.37 % SZS output end Proof % 279.02/279.37 % cvc5 exiting %------------------------------------------------------------------------------