%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET030-3 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:47:03 AM UTC 2026 % Result : Unsatisfiable 1.03s 1.27s % Output : Proof 1.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET030-3 : TPTP v9.2.1. Released v1.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 14:42:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.03/1.27 % SZS status Unsatisfiable % 1.03/1.27 % SZS output start Proof % 1.03/1.28 ( % 1.03/1.28 (declare-sort $$unsorted 0) % 1.03/1.28 (declare-const tptp.b $$unsorted) % 1.03/1.28 (declare-const tptp.a_function $$unsorted) % 1.03/1.28 (declare-const tptp.f32 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.f31 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.f29 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.closed (-> $$unsorted $$unsorted Bool)) % 1.03/1.28 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.03/1.28 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.f28 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.apply_to_two_arguments (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.f7 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.03/1.28 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.single_valued_set (-> $$unsorted Bool)) % 1.03/1.28 (declare-const tptp.f25 $$unsorted) % 1.03/1.28 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.infinity $$unsorted) % 1.03/1.28 (declare-const tptp.rotate_right (-> $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.f24 (-> $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.f2 (-> $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 1.03/1.28 (declare-const tptp.f30 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.f5 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.03/1.28 (declare-const tptp.non_ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.estin $$unsorted) % 1.03/1.28 (declare-const tptp.singleton_set (-> $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.f26 (-> $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.flip_range_of (-> $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.f11 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.little_set (-> $$unsorted Bool)) % 1.03/1.28 (declare-const tptp.f3 (-> $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.f12 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.relation (-> $$unsorted Bool)) % 1.03/1.28 (declare-const tptp.ordered_pair_predicate (-> $$unsorted Bool)) % 1.03/1.28 (declare-const tptp.f4 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.f20 (-> $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.f18 (-> $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.f14 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.f22 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.empty_set $$unsorted) % 1.03/1.28 (declare-const tptp.universal_set $$unsorted) % 1.03/1.28 (declare-const tptp.f16 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.sigma (-> $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.one_to_one_function (-> $$unsorted Bool)) % 1.03/1.28 (declare-const tptp.function (-> $$unsorted Bool)) % 1.03/1.28 (declare-const tptp.f17 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.f13 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.f33 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 1.03/1.28 (declare-const tptp.f19 (-> $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.identity_relation $$unsorted) % 1.03/1.28 (declare-const tptp.f21 (-> $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 1.03/1.28 (declare-const tptp.f23 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (declare-const tptp.f27 (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.28 (define @t1 () (@var "X" $$unsorted)) % 1.03/1.28 (define @t2 () (tptp.little_set @t1)) % 1.03/1.28 (define @t3 () (@var "Y" $$unsorted)) % 1.03/1.28 (define @t4 () (@list @t1 @t3)) % 1.03/1.28 (define @t5 () (= @t1 @t3)) % 1.03/1.28 (define @t6 () (tptp.f1 @t1 @t3)) % 1.03/1.28 (define @t7 () (tptp.member @t6 @t3)) % 1.03/1.28 (define @t8 () (tptp.member @t6 @t1)) % 1.03/1.28 (define @t9 () (@var "U" $$unsorted)) % 1.03/1.28 (define @t10 () (= @t9 @t3)) % 1.03/1.28 (define @t11 () (= @t9 @t1)) % 1.03/1.28 (define @t12 () (tptp.non_ordered_pair @t1 @t3)) % 1.03/1.28 (define @t13 () (tptp.member @t9 @t12)) % 1.03/1.28 (define @t14 () (not @t13)) % 1.03/1.28 (define @t15 () (or @t14 @t11 @t10)) % 1.03/1.28 (define @t16 () (@list @t9 @t1 @t3)) % 1.03/1.29 (define @t17 () (forall @t16 @t15)) % 1.03/1.29 (define @t18 () (not (tptp.little_set @t9))) % 1.03/1.29 (define @t19 () (tptp.singleton_set @t1)) % 1.03/1.29 (define @t20 () (@list @t1)) % 1.03/1.29 (define @t21 () (tptp.ordered_pair @t1 @t3)) % 1.03/1.29 (define @t22 () (tptp.f2 @t1)) % 1.03/1.29 (define @t23 () (tptp.ordered_pair_predicate @t1)) % 1.03/1.29 (define @t24 () (not @t23)) % 1.03/1.29 (define @t25 () (tptp.f3 @t1)) % 1.03/1.29 (define @t26 () (@var "Z" $$unsorted)) % 1.03/1.29 (define @t27 () (not (tptp.little_set @t26))) % 1.03/1.29 (define @t28 () (not (tptp.little_set @t3))) % 1.03/1.29 (define @t29 () (@list @t1 @t3 @t26)) % 1.03/1.29 (define @t30 () (tptp.f4 @t26 @t1)) % 1.03/1.29 (define @t31 () (tptp.first @t1)) % 1.03/1.29 (define @t32 () (tptp.member @t26 @t31)) % 1.03/1.29 (define @t33 () (not @t32)) % 1.03/1.29 (define @t34 () (@list @t26 @t1)) % 1.03/1.29 (define @t35 () (tptp.f5 @t26 @t1)) % 1.03/1.29 (define @t36 () (@var "V" $$unsorted)) % 1.03/1.29 (define @t37 () (tptp.ordered_pair @t9 @t36)) % 1.03/1.29 (define @t38 () (not (= @t1 @t37))) % 1.03/1.29 (define @t39 () (not (tptp.little_set @t36))) % 1.03/1.29 (define @t40 () (@list @t26 @t1 @t9 @t36)) % 1.03/1.29 (define @t41 () (tptp.f6 @t26 @t1)) % 1.03/1.29 (define @t42 () (tptp.second @t1)) % 1.03/1.29 (define @t43 () (tptp.member @t26 @t42)) % 1.03/1.29 (define @t44 () (not @t43)) % 1.03/1.29 (define @t45 () (tptp.f7 @t26 @t1)) % 1.03/1.29 (define @t46 () (tptp.ordered_pair_predicate @t26)) % 1.03/1.29 (define @t47 () (tptp.member @t26 tptp.estin)) % 1.03/1.29 (define @t48 () (not @t47)) % 1.03/1.29 (define @t49 () (@list @t26)) % 1.03/1.29 (define @t50 () (tptp.second @t26)) % 1.03/1.29 (define @t51 () (tptp.first @t26)) % 1.03/1.29 (define @t52 () (tptp.member @t51 @t50)) % 1.03/1.29 (define @t53 () (not @t46)) % 1.03/1.29 (define @t54 () (tptp.member @t26 @t1)) % 1.03/1.29 (define @t55 () (tptp.member @t26 (tptp.intersection @t1 @t3))) % 1.03/1.29 (define @t56 () (not @t55)) % 1.03/1.29 (define @t57 () (@list @t26 @t1 @t3)) % 1.03/1.29 (define @t58 () (tptp.member @t26 @t3)) % 1.03/1.29 (define @t59 () (not @t58)) % 1.03/1.29 (define @t60 () (not @t54)) % 1.03/1.29 (define @t61 () (tptp.complement @t1)) % 1.03/1.29 (define @t62 () (tptp.member @t26 @t61)) % 1.03/1.29 (define @t63 () (tptp.f8 @t26 @t1)) % 1.03/1.29 (define @t64 () (tptp.member @t26 (tptp.domain_of @t1))) % 1.03/1.29 (define @t65 () (not @t64)) % 1.03/1.29 (define @t66 () (@var "Xp" $$unsorted)) % 1.03/1.29 (define @t67 () (not (tptp.member @t66 @t1))) % 1.03/1.29 (define @t68 () (not (tptp.ordered_pair_predicate @t66))) % 1.03/1.29 (define @t69 () (@list @t26 @t1 @t66)) % 1.03/1.29 (define @t70 () (tptp.member @t26 (tptp.cross_product @t1 @t3))) % 1.03/1.29 (define @t71 () (not @t70)) % 1.03/1.29 (define @t72 () (tptp.member @t51 @t1)) % 1.03/1.29 (define @t73 () (tptp.member @t50 @t3)) % 1.03/1.29 (define @t74 () (tptp.member @t26 (tptp.converse @t1))) % 1.03/1.29 (define @t75 () (not @t74)) % 1.03/1.29 (define @t76 () (tptp.member (tptp.ordered_pair @t50 @t51) @t1)) % 1.03/1.29 (define @t77 () (tptp.f9 @t26 @t1)) % 1.03/1.29 (define @t78 () (tptp.member @t26 (tptp.rotate_right @t1))) % 1.03/1.29 (define @t79 () (not @t78)) % 1.03/1.29 (define @t80 () (tptp.f10 @t26 @t1)) % 1.03/1.29 (define @t81 () (tptp.f11 @t26 @t1)) % 1.03/1.29 (define @t82 () (@var "W" $$unsorted)) % 1.03/1.29 (define @t83 () (not (= @t26 (tptp.ordered_pair @t9 (tptp.ordered_pair @t36 @t82))))) % 1.03/1.29 (define @t84 () (not (tptp.little_set @t82))) % 1.03/1.29 (define @t85 () (@list @t26 @t1 @t9 @t36 @t82)) % 1.03/1.29 (define @t86 () (tptp.f12 @t26 @t1)) % 1.03/1.29 (define @t87 () (tptp.member @t26 (tptp.flip_range_of @t1))) % 1.03/1.29 (define @t88 () (not @t87)) % 1.03/1.29 (define @t89 () (tptp.f13 @t26 @t1)) % 1.03/1.29 (define @t90 () (tptp.f14 @t26 @t1)) % 1.03/1.29 (define @t91 () (tptp.successor @t1)) % 1.03/1.29 (define @t92 () (tptp.f16 @t26 @t1)) % 1.03/1.29 (define @t93 () (tptp.member @t26 (tptp.sigma @t1))) % 1.03/1.29 (define @t94 () (not @t93)) % 1.03/1.29 (define @t95 () (@list @t9)) % 1.03/1.29 (define @t96 () (tptp.member @t9 @t3)) % 1.03/1.29 (define @t97 () (not (tptp.member @t9 @t1))) % 1.03/1.29 (define @t98 () (tptp.subset @t1 @t3)) % 1.03/1.29 (define @t99 () (not @t98)) % 1.03/1.29 (define @t100 () (@list @t1 @t3 @t9)) % 1.03/1.29 (define @t101 () (tptp.f17 @t1 @t3)) % 1.03/1.29 (define @t102 () (tptp.proper_subset @t1 @t3)) % 1.03/1.29 (define @t103 () (not @t102)) % 1.03/1.29 (define @t104 () (tptp.subset @t26 @t1)) % 1.03/1.29 (define @t105 () (tptp.member @t26 (tptp.powerset @t1))) % 1.03/1.29 (define @t106 () (tptp.relation @t26)) % 1.03/1.29 (define @t107 () (tptp.f18 @t26)) % 1.03/1.29 (define @t108 () (tptp.single_valued_set @t1)) % 1.03/1.29 (define @t109 () (tptp.f19 @t1)) % 1.03/1.29 (define @t110 () (tptp.f20 @t1)) % 1.03/1.29 (define @t111 () (tptp.f21 @t1)) % 1.03/1.29 (define @t112 () (@var "Xf" $$unsorted)) % 1.03/1.29 (define @t113 () (tptp.relation @t112)) % 1.03/1.29 (define @t114 () (tptp.function @t112)) % 1.03/1.29 (define @t115 () (not @t114)) % 1.03/1.29 (define @t116 () (@list @t112)) % 1.03/1.29 (define @t117 () (tptp.single_valued_set @t112)) % 1.03/1.29 (define @t118 () (tptp.f22 @t26 @t1 @t112)) % 1.03/1.29 (define @t119 () (tptp.image @t1 @t112)) % 1.03/1.29 (define @t120 () (tptp.member @t26 @t119)) % 1.03/1.29 (define @t121 () (not @t120)) % 1.03/1.29 (define @t122 () (@list @t26 @t1 @t112)) % 1.03/1.29 (define @t123 () (tptp.second @t118)) % 1.03/1.29 (define @t124 () (or @t121 (= @t123 @t26))) % 1.03/1.29 (define @t125 () (forall @t122 @t124)) % 1.03/1.29 (define @t126 () (not @t2)) % 1.03/1.29 (define @t127 () (tptp.disjoint @t1 @t3)) % 1.03/1.29 (define @t128 () (tptp.f23 @t1 @t3)) % 1.03/1.29 (define @t129 () (tptp.f24 @t1)) % 1.03/1.29 (define @t130 () (= @t1 tptp.empty_set)) % 1.03/1.29 (define @t131 () (tptp.f26 @t1)) % 1.03/1.29 (define @t132 () (tptp.f27 @t26 @t1)) % 1.03/1.29 (define @t133 () (tptp.member @t26 (tptp.range_of @t1))) % 1.03/1.29 (define @t134 () (not @t133)) % 1.03/1.29 (define @t135 () (tptp.member @t26 tptp.identity_relation)) % 1.03/1.29 (define @t136 () (not @t135)) % 1.03/1.29 (define @t137 () (= @t51 @t50)) % 1.03/1.29 (define @t138 () (tptp.one_to_one_function @t112)) % 1.03/1.29 (define @t139 () (not @t138)) % 1.03/1.29 (define @t140 () (tptp.function (tptp.converse @t112))) % 1.03/1.29 (define @t141 () (tptp.f28 @t26 @t112 @t3)) % 1.03/1.29 (define @t142 () (tptp.apply @t112 @t3)) % 1.03/1.29 (define @t143 () (tptp.member @t26 @t142)) % 1.03/1.29 (define @t144 () (not @t143)) % 1.03/1.29 (define @t145 () (@list @t26 @t112 @t3)) % 1.03/1.29 (define @t146 () (tptp.first @t141)) % 1.03/1.29 (define @t147 () (or @t144 (= @t146 @t3))) % 1.03/1.29 (define @t148 () (forall @t145 @t147)) % 1.03/1.29 (define @t149 () (not (tptp.member @t26 (tptp.second @t82)))) % 1.03/1.29 (define @t150 () (tptp.first @t82)) % 1.03/1.29 (define @t151 () (not (= @t150 @t3))) % 1.03/1.29 (define @t152 () (not (tptp.member @t82 @t112))) % 1.03/1.29 (define @t153 () (not (tptp.ordered_pair_predicate @t82))) % 1.03/1.29 (define @t154 () (or @t143 @t153 @t152 @t151 @t149)) % 1.03/1.29 (define @t155 () (@list @t26 @t112 @t3 @t82)) % 1.03/1.29 (define @t156 () (forall @t155 @t154)) % 1.03/1.29 (define @t157 () (@list @t112 @t1 @t3)) % 1.03/1.29 (define @t158 () (tptp.maps @t112 @t1 @t3)) % 1.03/1.29 (define @t159 () (not @t158)) % 1.03/1.29 (define @t160 () (= (tptp.domain_of @t112) @t1)) % 1.03/1.29 (define @t161 () (tptp.subset (tptp.range_of @t112) @t3)) % 1.03/1.29 (define @t162 () (@var "Xs" $$unsorted)) % 1.03/1.29 (define @t163 () (tptp.little_set @t162)) % 1.03/1.29 (define @t164 () (tptp.closed @t162 @t112)) % 1.03/1.29 (define @t165 () (not @t164)) % 1.03/1.29 (define @t166 () (@list @t162 @t112)) % 1.03/1.29 (define @t167 () (tptp.little_set @t112)) % 1.03/1.29 (define @t168 () (tptp.maps @t112 (tptp.cross_product @t162 @t162) @t162)) % 1.03/1.29 (define @t169 () (@var "Xg" $$unsorted)) % 1.03/1.29 (define @t170 () (tptp.f29 @t26 @t112 @t169)) % 1.03/1.29 (define @t171 () (tptp.member @t26 (tptp.compose @t112 @t169))) % 1.03/1.29 (define @t172 () (not @t171)) % 1.03/1.29 (define @t173 () (@list @t26 @t112 @t169)) % 1.03/1.29 (define @t174 () (tptp.f30 @t26 @t112 @t169)) % 1.03/1.29 (define @t175 () (tptp.f31 @t26 @t112 @t169)) % 1.03/1.29 (define @t176 () (@var "Xf1" $$unsorted)) % 1.03/1.29 (define @t177 () (@var "Xs1" $$unsorted)) % 1.03/1.29 (define @t178 () (tptp.closed @t177 @t176)) % 1.03/1.29 (define @t179 () (@var "Xf2" $$unsorted)) % 1.03/1.29 (define @t180 () (@var "Xs2" $$unsorted)) % 1.03/1.29 (define @t181 () (@var "Xh" $$unsorted)) % 1.03/1.29 (define @t182 () (tptp.homomorphism @t181 @t177 @t176 @t180 @t179)) % 1.03/1.29 (define @t183 () (not @t182)) % 1.03/1.29 (define @t184 () (@list @t181 @t177 @t176 @t180 @t179)) % 1.03/1.29 (define @t185 () (tptp.closed @t180 @t179)) % 1.03/1.29 (define @t186 () (tptp.maps @t181 @t177 @t180)) % 1.03/1.29 (define @t187 () (tptp.f32 @t181 @t177 @t176 @t180 @t179)) % 1.03/1.29 (define @t188 () (not @t186)) % 1.03/1.29 (define @t189 () (not @t185)) % 1.03/1.29 (define @t190 () (not @t178)) % 1.03/1.29 (define @t191 () (tptp.f33 @t181 @t177 @t176 @t180 @t179)) % 1.03/1.29 (define @t192 () (not (= @t21 @t37))) % 1.03/1.29 (define @t193 () (forall @t4 (or @t99 (not (tptp.subset @t3 @t1)) @t5))) % 1.03/1.29 (define @t194 () (tptp.image (tptp.singleton_set @t3) @t112)) % 1.03/1.29 (define @t195 () (tptp.function tptp.a_function)) % 1.03/1.29 (define @t196 () (tptp.apply tptp.a_function tptp.b)) % 1.03/1.29 (define @t197 () (tptp.little_set @t196)) % 1.03/1.29 (define @t198 () (not @t197)) % 1.03/1.29 (define @t199 () (tptp.singleton_set tptp.b)) % 1.03/1.29 (define @t200 () (tptp.image @t199 tptp.a_function)) % 1.03/1.29 (define @t201 () (tptp.sigma @t200)) % 1.03/1.29 (define @t202 () (@list @t201 @t196)) % 1.03/1.29 (define @t203 () (tptp.little_set @t199)) % 1.03/1.29 (define @t204 () (tptp.little_set @t200)) % 1.03/1.29 (define @t205 () (not @t195)) % 1.03/1.29 (define @t206 () (not @t203)) % 1.03/1.29 (define @t207 () (or @t206 @t205 @t204)) % 1.03/1.29 (define @t208 () (tptp.little_set @t201)) % 1.03/1.29 (define @t209 () (not @t204)) % 1.03/1.29 (define @t210 () (or @t209 @t208)) % 1.03/1.29 (define @t211 () (@list false false)) % 1.03/1.29 (define @t212 () (= @t196 @t201)) % 1.03/1.29 (define @t213 () (not @t212)) % 1.03/1.29 (define @t214 () (not @t208)) % 1.03/1.29 (define @t215 () (not @t198)) % 1.03/1.29 (define @t216 () (= true false)) % 1.03/1.29 (define @t217 () (and @t198 @t212 @t208)) % 1.03/1.29 (define @t218 () (@list true false)) % 1.03/1.29 (define @t219 () (tptp.subset @t201 @t196)) % 1.03/1.29 (define @t220 () (not @t219)) % 1.03/1.29 (define @t221 () (tptp.subset @t196 @t201)) % 1.03/1.29 (define @t222 () (not @t221)) % 1.03/1.29 (define @t223 () (or @t222 @t220 @t212)) % 1.03/1.29 (define @t224 () (@list false true false)) % 1.03/1.29 (define @t225 () (tptp.f17 @t201 @t196)) % 1.03/1.29 (define @t226 () (tptp.member @t225 @t196)) % 1.03/1.29 (define @t227 () (not @t226)) % 1.03/1.29 (define @t228 () (or @t219 @t227)) % 1.03/1.29 (define @t229 () (tptp.f17 @t196 @t200)) % 1.03/1.29 (define @t230 () (tptp.subset @t196 @t200)) % 1.03/1.29 (define @t231 () (not @t230)) % 1.03/1.29 (define @t232 () (tptp.subset @t200 @t196)) % 1.03/1.29 (define @t233 () (not @t232)) % 1.03/1.29 (define @t234 () (or @t233 @t231 (= @t200 @t196))) % 1.03/1.29 (define @t235 () (= @t196 @t200)) % 1.03/1.29 (define @t236 () (or @t233 @t231 @t235)) % 1.03/1.29 (define @t237 () (not @t235)) % 1.03/1.29 (define @t238 () (and @t198 @t235 @t204)) % 1.03/1.29 (define @t239 () (tptp.member @t229 @t196)) % 1.03/1.29 (define @t240 () (or @t230 @t239)) % 1.03/1.29 (define @t241 () (tptp.first (tptp.f28 @t229 tptp.a_function tptp.b))) % 1.03/1.29 (define @t242 () (= tptp.b @t241)) % 1.03/1.29 (define @t243 () (not @t239)) % 1.03/1.29 (define @t244 () (or @t243 @t242)) % 1.03/1.29 (define @t245 () (tptp.member @t26 (tptp.apply @t112 @t150))) % 1.03/1.29 (define @t246 () (not (= @t150 @t150))) % 1.03/1.29 (define @t247 () (or @t245 @t153 @t152 @t246 @t149)) % 1.03/1.29 (define @t248 () (@list @t26 @t112 @t82)) % 1.03/1.29 (define @t249 () (not (= @t3 @t150))) % 1.03/1.29 (define @t250 () (or @t249 @t143 @t153 @t152 @t249 @t149)) % 1.03/1.29 (define @t251 () (@list @t3)) % 1.03/1.29 (define @t252 () (or @t143 @t153 @t152 @t249 @t149)) % 1.03/1.29 (define @t253 () (forall @t251 @t252)) % 1.03/1.29 (define @t254 () (forall @t248 @t253)) % 1.03/1.29 (define @t255 () (forall (@list @t26 @t112 @t82 @t3) @t252)) % 1.03/1.29 (define @t256 () (tptp.f16 @t225 @t200)) % 1.03/1.29 (define @t257 () (tptp.f22 @t256 @t199 tptp.a_function)) % 1.03/1.29 (define @t258 () (@list @t256 @t199 tptp.a_function)) % 1.03/1.29 (define @t259 () (@list @t225 @t200)) % 1.03/1.29 (define @t260 () (tptp.member @t225 @t201)) % 1.03/1.29 (define @t261 () (or @t219 @t260)) % 1.03/1.29 (define @t262 () (tptp.member @t256 @t200)) % 1.03/1.29 (define @t263 () (not @t260)) % 1.03/1.29 (define @t264 () (or @t263 @t262)) % 1.03/1.29 (define @t265 () (tptp.second @t257)) % 1.03/1.29 (define @t266 () (= @t256 @t265)) % 1.03/1.29 (define @t267 () (not @t262)) % 1.03/1.29 (define @t268 () (or @t267 @t266)) % 1.03/1.29 (define @t269 () (tptp.member @t225 @t256)) % 1.03/1.29 (define @t270 () (or @t263 @t269)) % 1.03/1.29 (define @t271 () (tptp.member @t225 @t265)) % 1.03/1.29 (define @t272 () (and @t269 @t266)) % 1.03/1.29 (define @t273 () (tptp.member @t257 tptp.a_function)) % 1.03/1.29 (define @t274 () (or @t267 @t273)) % 1.03/1.29 (define @t275 () (tptp.ordered_pair_predicate @t257)) % 1.03/1.29 (define @t276 () (or @t267 @t275)) % 1.03/1.29 (define @t277 () (not @t271)) % 1.03/1.29 (define @t278 () (not @t273)) % 1.03/1.29 (define @t279 () (not @t275)) % 1.03/1.29 (define @t280 () (tptp.first @t257)) % 1.03/1.29 (define @t281 () (tptp.apply tptp.a_function @t280)) % 1.03/1.29 (define @t282 () (tptp.member @t225 @t281)) % 1.03/1.29 (define @t283 () (or @t282 @t279 @t278 @t277)) % 1.03/1.29 (define @t284 () (tptp.member @t280 @t199)) % 1.03/1.29 (define @t285 () (or @t267 @t284)) % 1.03/1.29 (define @t286 () (tptp.non_ordered_pair tptp.b tptp.b)) % 1.03/1.29 (define @t287 () (= @t199 @t286)) % 1.03/1.29 (define @t288 () (tptp.member @t280 @t286)) % 1.03/1.29 (define @t289 () (and @t287 @t284)) % 1.03/1.29 (define @t290 () (= tptp.b @t280)) % 1.03/1.29 (define @t291 () (not @t288)) % 1.03/1.29 (define @t292 () (or @t291 @t290 @t290)) % 1.03/1.29 (define @t293 () (not @t282)) % 1.03/1.29 (define @t294 () (not @t290)) % 1.03/1.29 (define @t295 () (not @t242)) % 1.03/1.29 (assume @p1 (forall @t4 (or (not (tptp.member @t1 @t3)) @t2))) % 1.03/1.29 (assume @p2 (forall @t4 (or (tptp.little_set @t6) @t5))) % 1.03/1.29 (assume @p3 (forall @t4 (or @t8 @t7 @t5))) % 1.03/1.29 (assume @p4 (forall @t4 (or (not @t8) (not @t7) @t5))) % 1.03/1.29 (assume @p5 @t17) % 1.03/1.29 (assume @p6 (forall @t16 (or @t13 @t18 (not @t11)))) % 1.03/1.29 (assume @p7 (forall @t16 (or @t13 @t18 (not @t10)))) % 1.03/1.29 (assume @p8 (forall @t4 (tptp.little_set @t12))) % 1.03/1.29 (assume @p9 (forall @t20 (= @t19 (tptp.non_ordered_pair @t1 @t1)))) % 1.03/1.29 (assume @p10 (forall @t4 (= @t21 (tptp.non_ordered_pair @t19 @t12)))) % 1.03/1.29 (assume @p11 (forall @t20 (or @t24 (tptp.little_set @t22)))) % 1.03/1.29 (assume @p12 (forall @t20 (or @t24 (tptp.little_set @t25)))) % 1.03/1.29 (assume @p13 (forall @t20 (or @t24 (= @t1 (tptp.ordered_pair @t22 @t25))))) % 1.03/1.29 (assume @p14 (forall @t29 (or @t23 @t28 @t27 (not (= @t1 (tptp.ordered_pair @t3 @t26)))))) % 1.03/1.29 (assume @p15 (forall @t34 (or @t33 (tptp.little_set @t30)))) % 1.03/1.29 (assume @p16 (forall @t34 (or @t33 (tptp.little_set @t35)))) % 1.03/1.29 (assume @p17 (forall @t34 (or @t33 (= @t1 (tptp.ordered_pair @t30 @t35))))) % 1.03/1.29 (assume @p18 (forall @t34 (or @t33 (tptp.member @t26 @t30)))) % 1.03/1.29 (assume @p19 (forall @t40 (or @t32 @t18 @t39 @t38 (not (tptp.member @t26 @t9))))) % 1.03/1.29 (assume @p20 (forall @t34 (or @t44 (tptp.little_set @t41)))) % 1.03/1.29 (assume @p21 (forall @t34 (or @t44 (tptp.little_set @t45)))) % 1.03/1.29 (assume @p22 (forall @t34 (or @t44 (= @t1 (tptp.ordered_pair @t41 @t45))))) % 1.03/1.29 (assume @p23 (forall @t34 (or @t44 (tptp.member @t26 @t45)))) % 1.03/1.29 (assume @p24 (forall @t40 (or @t43 @t18 @t39 @t38 (not (tptp.member @t26 @t36))))) % 1.03/1.29 (assume @p25 (forall @t49 (or @t48 @t46))) % 1.03/1.29 (assume @p26 (forall @t49 (or @t48 @t52))) % 1.03/1.29 (assume @p27 (forall @t49 (or @t47 @t27 @t53 (not @t52)))) % 1.03/1.29 (assume @p28 (forall @t57 (or @t56 @t54))) % 1.03/1.29 (assume @p29 (forall @t57 (or @t56 @t58))) % 1.03/1.29 (assume @p30 (forall @t57 (or @t55 @t60 @t59))) % 1.03/1.29 (assume @p31 (forall @t34 (or (not @t62) @t60))) % 1.03/1.29 (assume @p32 (forall @t34 (or @t62 @t27 @t54))) % 1.03/1.29 (assume @p33 (forall @t4 (= (tptp.union @t1 @t3) (tptp.complement (tptp.intersection @t61 (tptp.complement @t3)))))) % 1.03/1.29 (assume @p34 (forall @t34 (or @t65 (tptp.ordered_pair_predicate @t63)))) % 1.03/1.29 (assume @p35 (forall @t34 (or @t65 (tptp.member @t63 @t1)))) % 1.03/1.29 (assume @p36 (forall @t34 (or @t65 (= @t26 (tptp.first @t63))))) % 1.03/1.29 (assume @p37 (forall @t69 (or @t64 @t27 @t68 @t67 (not (= @t26 (tptp.first @t66)))))) % 1.03/1.29 (assume @p38 (forall @t57 (or @t71 @t46))) % 1.03/1.29 (assume @p39 (forall @t57 (or @t71 @t72))) % 1.03/1.29 (assume @p40 (forall @t57 (or @t71 @t73))) % 1.03/1.29 (assume @p41 (forall @t57 (or @t70 @t27 @t53 (not @t72) (not @t73)))) % 1.03/1.29 (assume @p42 (forall @t34 (or @t75 @t46))) % 1.03/1.29 (assume @p43 (forall @t34 (or @t75 @t76))) % 1.03/1.29 (assume @p44 (forall @t34 (or @t74 @t27 @t53 (not @t76)))) % 1.03/1.29 (assume @p45 (forall @t34 (or @t79 (tptp.little_set @t77)))) % 1.03/1.29 (assume @p46 (forall @t34 (or @t79 (tptp.little_set @t80)))) % 1.03/1.29 (assume @p47 (forall @t34 (or @t79 (tptp.little_set @t81)))) % 1.03/1.29 (assume @p48 (forall @t34 (or @t79 (= @t26 (tptp.ordered_pair @t77 (tptp.ordered_pair @t80 @t81)))))) % 1.03/1.29 (assume @p49 (forall @t34 (or @t79 (tptp.member (tptp.ordered_pair @t80 (tptp.ordered_pair @t81 @t77)) @t1)))) % 1.03/1.29 (assume @p50 (forall @t85 (or @t78 @t27 @t18 @t39 @t84 @t83 (not (tptp.member (tptp.ordered_pair @t36 (tptp.ordered_pair @t82 @t9)) @t1))))) % 1.03/1.29 (assume @p51 (forall @t34 (or @t88 (tptp.little_set @t86)))) % 1.03/1.29 (assume @p52 (forall @t34 (or @t88 (tptp.little_set @t89)))) % 1.03/1.29 (assume @p53 (forall @t34 (or @t88 (tptp.little_set @t90)))) % 1.03/1.29 (assume @p54 (forall @t34 (or @t88 (= @t26 (tptp.ordered_pair @t86 (tptp.ordered_pair @t89 @t90)))))) % 1.03/1.29 (assume @p55 (forall @t34 (or @t88 (tptp.member (tptp.ordered_pair @t86 (tptp.ordered_pair @t90 @t89)) @t1)))) % 1.03/1.29 (assume @p56 (forall @t85 (or @t87 @t27 @t18 @t39 @t84 @t83 (not (tptp.member (tptp.ordered_pair @t9 (tptp.ordered_pair @t82 @t36)) @t1))))) % 1.03/1.29 (assume @p57 (forall @t20 (= @t91 (tptp.union @t1 @t19)))) % 1.03/1.29 (assume @p58 (forall @t49 (not (tptp.member @t26 tptp.empty_set)))) % 1.03/1.29 (assume @p59 (forall @t49 (or (tptp.member @t26 tptp.universal_set) @t27))) % 1.03/1.29 (assume @p60 (tptp.little_set tptp.infinity)) % 1.03/1.29 (assume @p61 (tptp.member tptp.empty_set tptp.infinity)) % 1.03/1.29 (assume @p62 (forall @t20 (or (not (tptp.member @t1 tptp.infinity)) (tptp.member @t91 tptp.infinity)))) % 1.03/1.29 (assume @p63 (forall @t34 (or @t94 (tptp.member @t92 @t1)))) % 1.03/1.29 (assume @p64 (forall @t34 (or @t94 (tptp.member @t26 @t92)))) % 1.03/1.29 (assume @p65 (forall @t57 (or @t93 (not (tptp.member @t3 @t1)) @t59))) % 1.03/1.29 (assume @p66 (forall @t95 (or @t18 (tptp.little_set (tptp.sigma @t9))))) % 1.03/1.29 (assume @p67 (forall @t100 (or @t99 @t97 @t96))) % 1.03/1.29 (assume @p68 (forall @t4 (or @t98 (tptp.member @t101 @t1)))) % 1.03/1.29 (assume @p69 (forall @t4 (or @t98 (not (tptp.member @t101 @t3))))) % 1.03/1.29 (assume @p70 (forall @t4 (or @t103 @t98))) % 1.03/1.29 (assume @p71 (forall @t4 (or @t103 (not @t5)))) % 1.03/1.29 (assume @p72 (forall @t4 (or @t102 @t99 @t5))) % 1.03/1.29 (assume @p73 (forall @t34 (or (not @t105) @t104))) % 1.03/1.29 (assume @p74 (forall @t34 (or @t105 @t27 (not @t104)))) % 1.03/1.29 (assume @p75 (forall @t95 (or @t18 (tptp.little_set (tptp.powerset @t9))))) % 1.03/1.29 (assume @p76 (forall @t34 (or (not @t106) (not (tptp.member @t1 @t26)) @t23))) % 1.03/1.29 (assume @p77 (forall @t49 (or @t106 (tptp.member @t107 @t26)))) % 1.03/1.29 (assume @p78 (forall @t49 (or @t106 (not (tptp.ordered_pair_predicate @t107))))) % 1.03/1.29 (assume @p79 (forall (@list @t1 @t9 @t36 @t82) (or (not @t108) @t18 @t39 @t84 (not (tptp.member @t37 @t1)) (not (tptp.member (tptp.ordered_pair @t9 @t82) @t1)) (= @t36 @t82)))) % 1.03/1.29 (assume @p80 (forall @t20 (or @t108 (tptp.little_set @t109)))) % 1.03/1.29 (assume @p81 (forall @t20 (or @t108 (tptp.little_set @t110)))) % 1.03/1.29 (assume @p82 (forall @t20 (or @t108 (tptp.little_set @t111)))) % 1.03/1.29 (assume @p83 (forall @t20 (or @t108 (tptp.member (tptp.ordered_pair @t109 @t110) @t1)))) % 1.03/1.29 (assume @p84 (forall @t20 (or @t108 (tptp.member (tptp.ordered_pair @t109 @t111) @t1)))) % 1.03/1.29 (assume @p85 (forall @t20 (or @t108 (not (= @t110 @t111))))) % 1.03/1.29 (assume @p86 (forall @t116 (or @t115 @t113))) % 1.03/1.29 (assume @p87 (forall @t116 (or @t115 @t117))) % 1.03/1.29 (assume @p88 (forall @t116 (or @t114 (not @t113) (not @t117)))) % 1.03/1.29 (assume @p89 (forall @t122 (or @t121 (tptp.ordered_pair_predicate @t118)))) % 1.03/1.29 (assume @p90 (forall @t122 (or @t121 (tptp.member @t118 @t112)))) % 1.03/1.29 (assume @p91 (forall @t122 (or @t121 (tptp.member (tptp.first @t118) @t1)))) % 1.03/1.29 (assume @p92 @t125) % 1.03/1.29 (assume @p93 (forall (@list @t26 @t1 @t112 @t3) (or @t120 @t27 (not (tptp.ordered_pair_predicate @t3)) (not (tptp.member @t3 @t112)) (not (tptp.member (tptp.first @t3) @t1)) (not (= (tptp.second @t3) @t26))))) % 1.03/1.29 (assume @p94 (forall (@list @t1 @t112) (or @t126 @t115 (tptp.little_set @t119)))) % 1.03/1.29 (assume @p95 (forall @t100 (or (not @t127) @t97 (not @t96)))) % 1.03/1.29 (assume @p96 (forall @t4 (or @t127 (tptp.member @t128 @t1)))) % 1.03/1.29 (assume @p97 (forall @t4 (or @t127 (tptp.member @t128 @t3)))) % 1.03/1.29 (assume @p98 (forall @t20 (or @t130 (tptp.member @t129 @t1)))) % 1.03/1.29 (assume @p99 (forall @t20 (or @t130 (tptp.disjoint @t129 @t1)))) % 1.03/1.29 (assume @p100 (tptp.function tptp.f25)) % 1.03/1.29 (assume @p101 (forall @t20 (or @t126 @t130 (tptp.member @t131 @t1)))) % 1.03/1.29 (assume @p102 (forall @t20 (or @t126 @t130 (tptp.member (tptp.ordered_pair @t1 @t131) tptp.f25)))) % 1.03/1.29 (assume @p103 (forall @t34 (or @t134 (tptp.ordered_pair_predicate @t132)))) % 1.03/1.29 (assume @p104 (forall @t34 (or @t134 (tptp.member @t132 @t1)))) % 1.03/1.29 (assume @p105 (forall @t34 (or @t134 (= @t26 (tptp.second @t132))))) % 1.03/1.29 (assume @p106 (forall @t69 (or @t133 @t27 @t68 @t67 (not (= @t26 (tptp.second @t66)))))) % 1.03/1.29 (assume @p107 (forall @t49 (or @t136 @t46))) % 1.03/1.29 (assume @p108 (forall @t49 (or @t136 @t137))) % 1.03/1.29 (assume @p109 (forall @t49 (or @t135 @t27 @t53 (not @t137)))) % 1.03/1.29 (assume @p110 (forall @t4 (= (tptp.restrict @t1 @t3) (tptp.intersection @t1 (tptp.cross_product @t3 tptp.universal_set))))) % 1.03/1.29 (assume @p111 (forall @t116 (or @t139 @t114))) % 1.03/1.29 (assume @p112 (forall @t116 (or @t139 @t140))) % 1.03/1.29 (assume @p113 (forall @t116 (or @t138 @t115 (not @t140)))) % 1.03/1.29 (assume @p114 (forall @t145 (or @t144 (tptp.ordered_pair_predicate @t141)))) % 1.03/1.29 (assume @p115 (forall @t145 (or @t144 (tptp.member @t141 @t112)))) % 1.03/1.29 (assume @p116 @t148) % 1.03/1.29 (assume @p117 (forall @t145 (or @t144 (tptp.member @t26 (tptp.second @t141))))) % 1.03/1.29 (assume @p118 @t156) % 1.03/1.29 (assume @p119 (forall @t157 (= (tptp.apply_to_two_arguments @t112 @t1 @t3) (tptp.apply @t112 @t21)))) % 1.03/1.29 (assume @p120 (forall @t157 (or @t159 @t114))) % 1.03/1.29 (assume @p121 (forall @t157 (or @t159 @t160))) % 1.03/1.29 (assume @p122 (forall @t157 (or @t159 @t161))) % 1.03/1.29 (assume @p123 (forall @t157 (or @t158 @t115 (not @t160) (not @t161)))) % 1.03/1.29 (assume @p124 (forall @t166 (or @t165 @t163))) % 1.03/1.29 (assume @p125 (forall @t166 (or @t165 @t167))) % 1.03/1.29 (assume @p126 (forall @t166 (or @t165 @t168))) % 1.03/1.29 (assume @p127 (forall @t166 (or @t164 (not @t163) (not @t167) (not @t168)))) % 1.03/1.29 (assume @p128 (forall @t173 (or @t172 (tptp.little_set @t170)))) % 1.03/1.29 (assume @p129 (forall @t173 (or @t172 (tptp.little_set @t174)))) % 1.03/1.29 (assume @p130 (forall @t173 (or @t172 (tptp.little_set @t175)))) % 1.03/1.29 (assume @p131 (forall @t173 (or @t172 (= @t26 (tptp.ordered_pair @t170 @t174))))) % 1.03/1.29 (assume @p132 (forall @t173 (or @t172 (tptp.member (tptp.ordered_pair @t170 @t175) @t112)))) % 1.03/1.29 (assume @p133 (forall @t173 (or @t172 (tptp.member (tptp.ordered_pair @t175 @t174) @t169)))) % 1.03/1.29 (assume @p134 (forall (@list @t26 @t112 @t169 @t1 @t3 @t82) (or @t171 @t27 @t126 @t28 @t84 (not (= @t26 @t21)) (not (tptp.member (tptp.ordered_pair @t1 @t82) @t112)) (not (tptp.member (tptp.ordered_pair @t82 @t3) @t169))))) % 1.03/1.29 (assume @p135 (forall @t184 (or @t183 @t178))) % 1.03/1.29 (assume @p136 (forall @t184 (or @t183 @t185))) % 1.03/1.29 (assume @p137 (forall @t184 (or @t183 @t186))) % 1.03/1.29 (assume @p138 (forall (@list @t181 @t177 @t176 @t180 @t179 @t1 @t3) (or @t183 (not (tptp.member @t1 @t177)) (not (tptp.member @t3 @t177)) (= (tptp.apply @t181 (tptp.apply_to_two_arguments @t176 @t1 @t3)) (tptp.apply_to_two_arguments @t179 (tptp.apply @t181 @t1) (tptp.apply @t181 @t3)))))) % 1.03/1.29 (assume @p139 (forall @t184 (or @t182 @t190 @t189 @t188 (tptp.member @t187 @t177)))) % 1.03/1.29 (assume @p140 (forall @t184 (or @t182 @t190 @t189 @t188 (tptp.member @t191 @t177)))) % 1.03/1.29 (assume @p141 (forall @t184 (or @t182 @t190 @t189 @t188 (not (= (tptp.apply @t181 (tptp.apply_to_two_arguments @t176 @t187 @t191)) (tptp.apply_to_two_arguments @t179 (tptp.apply @t181 @t187) (tptp.apply @t181 @t191))))))) % 1.03/1.29 (assume @p142 (forall (@list @t1 @t9 @t3 @t36) (or @t126 @t18 @t192 (= @t1 @t9)))) % 1.03/1.29 (assume @p143 (forall @t29 (or @t126 @t28 (not (= (tptp.non_ordered_pair @t26 @t1) (tptp.non_ordered_pair @t26 @t3))) @t5))) % 1.03/1.29 (assume @p144 (forall (@list @t1 @t3 @t9 @t36) (or @t126 @t28 @t18 @t39 @t192 (= @t3 @t36)))) % 1.03/1.29 (assume @p145 @t193) % 1.03/1.29 (assume @p146 (forall @t4 (or @t126 @t28 (= (tptp.first @t21) @t1)))) % 1.03/1.29 (assume @p147 (forall @t4 (or @t126 @t28 (= (tptp.second @t21) @t3)))) % 1.03/1.29 (assume @p148 (forall @t20 (or @t24 (tptp.little_set @t31)))) % 1.03/1.29 (assume @p149 (forall @t20 (or @t24 (tptp.little_set @t42)))) % 1.03/1.29 (assume @p150 (forall @t20 (or @t126 (tptp.member @t1 @t19)))) % 1.03/1.29 (assume @p151 (forall @t4 (tptp.little_set @t21))) % 1.03/1.29 (assume @p152 (forall @t20 (or @t24 @t2))) % 1.03/1.29 (assume @p153 (forall @t29 (or @t99 (not (tptp.subset @t3 @t26)) (tptp.subset @t1 @t26)))) % 1.03/1.29 (assume @p154 (forall (@list @t112 @t3) (tptp.subset @t142 (tptp.sigma @t194)))) % 1.03/1.29 (assume @p155 (forall (@list @t3 @t112) (tptp.subset @t194 @t142))) % 1.03/1.29 (assume @p156 @t195) % 1.03/1.29 (assume @p157 @t198) % 1.03/1.29 (step @p158 :rule instantiate :premises (@p69) :args (@t202)) % 1.03/1.29 (step @p159 :rule instantiate :premises (@p145) :args ((@list @t196 @t201))) % 1.03/1.29 (step @p160 :rule instantiate :premises (@p66) :args ((@list @t200))) % 1.03/1.29 (step @p161 :rule instantiate :premises (@p94) :args ((@list @t199 tptp.a_function))) % 1.03/1.29 (step @p162 :rule instantiate :premises (@p8) :args ((@list tptp.b tptp.b))) % 1.03/1.29 (step @p163 :rule true_intro :premises (@p162)) % 1.03/1.29 (step @p164 :rule instantiate :premises (@p9) :args ((@list tptp.b))) % 1.03/1.29 (step @p165 :rule cong :premises (@p164) :args (@t203)) % 1.03/1.29 (step @p166 :rule trans :premises (@p165 @p163)) % 1.03/1.29 (step @p167 :rule true_elim :premises (@p166)) % 1.03/1.29 (step @p168 :rule cnf_or_pos :args (@t207)) % 1.03/1.29 (step @p169 :rule reordering :premises (@p168) :args ((or @t205 @t204 @t206 (not @t207)))) % 1.03/1.29 (step @p170 :rule chain_m_resolution :premises (@p169 @p156 @p167 @p161) :args (@t204 (@list false false false) (@list @t195 @t203 @t207))) % 1.03/1.29 (step @p171 :rule cnf_or_pos :args (@t210)) % 1.03/1.29 (step @p172 :rule reordering :premises (@p171) :args ((or @t209 @t208 (not @t210)))) % 1.03/1.29 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p160) :args (@t208 @t211 (@list @t204 @t210))) % 1.03/1.29 (step @p174 :rule refl :args (@t213)) % 1.03/1.29 (step @p175 :rule refl :args (@t214)) % 1.03/1.29 (step @p176 :rule bool-double-not-elim :args (@t197)) % 1.03/1.29 (step @p177 :rule nary_cong :premises (@p176 @p175 @p174) :args ((or @t215 @t214 @t213))) % 1.03/1.29 (assume-push @p423 @t198) % 1.03/1.29 (assume-push @p424 @t212) % 1.03/1.29 (assume-push @p425 @t208) % 1.03/1.29 (step @p181 :rule evaluate :args (@t216)) % 1.03/1.29 (step @p182 :rule false_intro :premises (@p157)) % 1.03/1.29 (step @p183 :rule symm :premises (@p424)) % 1.03/1.29 (step @p184 :rule cong :premises (@p183) :args (@t208)) % 1.03/1.29 (step @p185 :rule true_intro :premises (@p173)) % 1.03/1.29 (step @p186 :rule symm :premises (@p185)) % 1.03/1.29 (step @p187 :rule trans :premises (@p186 @p184 @p182)) % 1.03/1.29 (step @p188 false :rule eq_resolve :premises (@p187 @p181)) % 1.03/1.29 (step-pop @p426 :rule scope :premises (@p188)) % 1.03/1.29 (step-pop @p427 :rule scope :premises (@p426)) % 1.03/1.29 (step-pop @p428 :rule scope :premises (@p427)) % 1.03/1.29 (step @p189 :rule process_scope :premises (@p428) :args (false)) % 1.03/1.29 (assume-push @p429 @t198) % 1.03/1.29 (assume-push @p430 @t208) % 1.03/1.29 (assume-push @p431 @t212) % 1.03/1.29 (step @p196 :rule and_intro :premises (@p157 @p431 @p173)) % 1.03/1.29 (step-pop @p432 :rule scope :premises (@p196)) % 1.03/1.29 (step-pop @p433 :rule scope :premises (@p432)) % 1.03/1.29 (step-pop @p434 :rule scope :premises (@p433)) % 1.03/1.29 (step @p197 :rule process_scope :premises (@p434) :args (@t217)) % 1.03/1.29 (step @p201 :rule implies_elim :premises (@p197)) % 1.03/1.29 (step @p202 :rule resolution :premises (@p201 @p189) :args (true @t217)) % 1.03/1.29 (step @p203 :rule not_and :premises (@p202)) % 1.03/1.29 (step @p204 :rule eq_resolve :premises (@p203 @p177)) % 1.03/1.29 (step @p205 :rule chain_m_resolution :premises (@p204 @p157 @p173) :args (@t213 @t218 (@list @t197 @t208))) % 1.03/1.29 (step @p206 :rule instantiate :premises (@p154) :args ((@list tptp.a_function tptp.b))) % 1.03/1.29 (step @p207 :rule cnf_or_pos :args (@t223)) % 1.03/1.29 (step @p208 :rule reordering :premises (@p207) :args ((or @t222 @t212 @t220 (not @t223)))) % 1.03/1.29 (step @p209 :rule chain_m_resolution :premises (@p208 @p206 @p205 @p159) :args (@t220 @t224 (@list @t221 @t212 @t223))) % 1.03/1.29 (step @p210 :rule cnf_or_pos :args (@t228)) % 1.03/1.29 (step @p211 :rule reordering :premises (@p210) :args ((or @t219 @t227 (not @t228)))) % 1.03/1.29 (step @p212 :rule chain_m_resolution :premises (@p211 @p209 @p158) :args (@t227 @t218 (@list @t219 @t228))) % 1.03/1.29 (step @p213 :rule eq-symm :args (@t146 @t3)) % 1.03/1.29 (step @p214 :rule refl :args (@t144)) % 1.03/1.29 (step @p215 :rule nary_cong :premises (@p214 @p213) :args (@t147)) % 1.03/1.29 (step @p216 :rule cong :premises (@p215) :args (@t148)) % 1.03/1.29 (step @p217 :rule eq_resolve :premises (@p116 @p216)) % 1.03/1.29 (step @p218 :rule instantiate :premises (@p217) :args ((@list @t229 tptp.a_function tptp.b))) % 1.03/1.29 (step @p219 :rule instantiate :premises (@p68) :args ((@list @t196 @t200))) % 1.03/1.29 (step @p220 :rule eq-symm :args (@t200 @t196)) % 1.03/1.29 (step @p221 :rule refl :args (@t231)) % 1.03/1.29 (step @p222 :rule refl :args (@t233)) % 1.03/1.29 (step @p223 :rule nary_cong :premises (@p222 @p221 @p220) :args (@t234)) % 1.03/1.29 (step @p224 :rule refl :args (@t193)) % 1.03/1.29 (step @p225 :rule cong :premises (@p224 @p223) :args ((=> @t193 @t234))) % 1.03/1.29 (assume-push @p435 @t193) % 1.03/1.29 (step @p227 :rule instantiate :premises (@p145) :args ((@list @t200 @t196))) % 1.03/1.29 (step-pop @p436 :rule scope :premises (@p227)) % 1.03/1.29 (step @p228 :rule process_scope :premises (@p436) :args (@t234)) % 1.03/1.29 (step @p230 :rule eq_resolve :premises (@p228 @p225)) % 1.03/1.29 (step @p231 :rule implies_elim :premises (@p230)) % 1.03/1.29 (step @p232 :rule chain_m_resolution :premises (@p231 @p145) :args (@t236 (@list false) (@list @t193))) % 1.03/1.29 (step @p233 :rule refl :args (@t237)) % 1.03/1.29 (step @p234 :rule refl :args (@t209)) % 1.03/1.29 (step @p235 :rule nary_cong :premises (@p176 @p234 @p233) :args ((or @t215 @t209 @t237))) % 1.03/1.29 (assume-push @p437 @t198) % 1.03/1.29 (assume-push @p438 @t235) % 1.03/1.29 (assume-push @p439 @t204) % 1.03/1.29 (step @p181 :rule evaluate :args (@t216)) % 1.03/1.29 (step @p182 :rule false_intro :premises (@p157)) % 1.03/1.29 (step @p239 :rule symm :premises (@p438)) % 1.03/1.29 (step @p240 :rule cong :premises (@p239) :args (@t204)) % 1.03/1.29 (step @p241 :rule true_intro :premises (@p170)) % 1.03/1.29 (step @p242 :rule symm :premises (@p241)) % 1.03/1.29 (step @p243 :rule trans :premises (@p242 @p240 @p182)) % 1.03/1.29 (step @p244 false :rule eq_resolve :premises (@p243 @p181)) % 1.03/1.29 (step-pop @p440 :rule scope :premises (@p244)) % 1.03/1.29 (step-pop @p441 :rule scope :premises (@p440)) % 1.03/1.29 (step-pop @p442 :rule scope :premises (@p441)) % 1.03/1.29 (step @p245 :rule process_scope :premises (@p442) :args (false)) % 1.03/1.29 (assume-push @p443 @t198) % 1.03/1.29 (assume-push @p444 @t204) % 1.03/1.29 (assume-push @p445 @t235) % 1.03/1.29 (step @p252 :rule and_intro :premises (@p157 @p445 @p170)) % 1.03/1.29 (step-pop @p446 :rule scope :premises (@p252)) % 1.03/1.29 (step-pop @p447 :rule scope :premises (@p446)) % 1.03/1.29 (step-pop @p448 :rule scope :premises (@p447)) % 1.03/1.29 (step @p253 :rule process_scope :premises (@p448) :args (@t238)) % 1.03/1.29 (step @p257 :rule implies_elim :premises (@p253)) % 1.03/1.29 (step @p258 :rule resolution :premises (@p257 @p245) :args (true @t238)) % 1.03/1.29 (step @p259 :rule not_and :premises (@p258)) % 1.03/1.29 (step @p260 :rule eq_resolve :premises (@p259 @p235)) % 1.03/1.29 (step @p261 :rule chain_m_resolution :premises (@p260 @p157 @p170) :args (@t237 @t218 (@list @t197 @t204))) % 1.03/1.29 (step @p262 :rule instantiate :premises (@p155) :args ((@list tptp.b tptp.a_function))) % 1.03/1.29 (step @p263 :rule cnf_or_pos :args (@t236)) % 1.03/1.29 (step @p264 :rule reordering :premises (@p263) :args ((or @t233 @t235 @t231 (not @t236)))) % 1.03/1.29 (step @p265 :rule chain_m_resolution :premises (@p264 @p262 @p261 @p232) :args (@t231 @t224 (@list @t232 @t235 @t236))) % 1.03/1.29 (step @p266 :rule cnf_or_pos :args (@t240)) % 1.03/1.29 (step @p267 :rule reordering :premises (@p266) :args ((or @t230 @t239 (not @t240)))) % 1.03/1.29 (step @p268 :rule chain_m_resolution :premises (@p267 @p265 @p219) :args (@t239 @t218 (@list @t230 @t240))) % 1.03/1.29 (step @p269 :rule cnf_or_pos :args (@t244)) % 1.03/1.29 (step @p270 :rule reordering :premises (@p269) :args ((or @t243 @t242 (not @t244)))) % 1.03/1.29 (step @p271 :rule chain_m_resolution :premises (@p270 @p268 @p218) :args (@t242 @t211 (@list @t239 @t244))) % 1.03/1.29 (step @p272 :rule aci_norm :args ((= (or @t245 @t153 @t152 false @t149) (or @t245 @t153 @t152 @t149)))) % 1.03/1.29 (step @p273 :rule refl :args (@t149)) % 1.03/1.29 (step @p274 :rule evaluate :args ((not true))) % 1.03/1.29 (step @p275 :rule eq-refl :args (@t150)) % 1.03/1.29 (step @p276 :rule cong :premises (@p275) :args (@t246)) % 1.03/1.29 (step @p277 :rule trans :premises (@p276 @p274)) % 1.03/1.29 (step @p278 :rule refl :args (@t152)) % 1.03/1.29 (step @p279 :rule refl :args (@t153)) % 1.03/1.29 (step @p280 :rule refl :args (@t245)) % 1.03/1.29 (step @p281 :rule nary_cong :premises (@p280 @p279 @p278 @p277 @p273) :args (@t247)) % 1.03/1.29 (step @p282 :rule trans :premises (@p281 @p272)) % 1.03/1.29 (step @p283 :rule cong :premises (@p282) :args ((forall @t248 @t247))) % 1.03/1.29 (step @p284 :rule quant-var-elim-eq :args ((= (forall @t251 @t250) @t247))) % 1.03/1.29 (step @p285 :rule aci_norm :args ((= @t252 @t250))) % 1.03/1.29 (step @p286 :rule cong :premises (@p285) :args (@t253)) % 1.03/1.29 (step @p287 :rule trans :premises (@p286 @p284)) % 1.03/1.29 (step @p288 :rule cong :premises (@p287) :args (@t254)) % 1.03/1.29 (step @p289 :rule quant-merge-prenex :args ((= @t254 @t255))) % 1.03/1.29 (step @p290 :rule symm :premises (@p289)) % 1.03/1.29 (step @p291 :rule quant_var_reordering :args ((= (forall @t155 @t252) @t255))) % 1.03/1.29 (step @p292 :rule trans :premises (@p291 @p290 @p288)) % 1.03/1.29 (step @p293 :rule trans :premises (@p292 @p283)) % 1.03/1.29 (step @p294 :rule eq-symm :args (@t150 @t3)) % 1.03/1.29 (step @p295 :rule cong :premises (@p294) :args (@t151)) % 1.03/1.29 (step @p296 :rule refl :args (@t143)) % 1.03/1.29 (step @p297 :rule nary_cong :premises (@p296 @p279 @p278 @p295 @p273) :args (@t154)) % 1.03/1.29 (step @p298 :rule cong :premises (@p297) :args (@t156)) % 1.03/1.29 (step @p299 :rule trans :premises (@p298 @p293)) % 1.03/1.29 (step @p300 :rule eq_resolve :premises (@p118 @p299)) % 1.03/1.29 (step @p301 :rule instantiate :premises (@p300) :args ((@list @t225 tptp.a_function @t257))) % 1.03/1.29 (step @p302 :rule eq-symm :args (@t123 @t26)) % 1.03/1.29 (step @p303 :rule refl :args (@t121)) % 1.03/1.29 (step @p304 :rule nary_cong :premises (@p303 @p302) :args (@t124)) % 1.03/1.29 (step @p305 :rule cong :premises (@p304) :args (@t125)) % 1.03/1.29 (step @p306 :rule eq_resolve :premises (@p92 @p305)) % 1.03/1.29 (step @p307 :rule instantiate :premises (@p306) :args (@t258)) % 1.03/1.29 (step @p308 :rule instantiate :premises (@p63) :args (@t259)) % 1.03/1.29 (step @p309 :rule instantiate :premises (@p68) :args (@t202)) % 1.03/1.29 (step @p310 :rule cnf_or_pos :args (@t261)) % 1.03/1.29 (step @p311 :rule reordering :premises (@p310) :args ((or @t219 @t260 (not @t261)))) % 1.03/1.29 (step @p312 :rule chain_m_resolution :premises (@p311 @p209 @p309) :args (@t260 @t218 (@list @t219 @t261))) % 1.03/1.29 (step @p313 :rule cnf_or_pos :args (@t264)) % 1.03/1.29 (step @p314 :rule reordering :premises (@p313) :args ((or @t263 @t262 (not @t264)))) % 1.03/1.29 (step @p315 :rule chain_m_resolution :premises (@p314 @p312 @p308) :args (@t262 @t211 (@list @t260 @t264))) % 1.03/1.29 (step @p316 :rule cnf_or_pos :args (@t268)) % 1.03/1.29 (step @p317 :rule reordering :premises (@p316) :args ((or @t267 @t266 (not @t268)))) % 1.03/1.29 (step @p318 :rule chain_m_resolution :premises (@p317 @p315 @p307) :args (@t266 @t211 (@list @t262 @t268))) % 1.03/1.29 (step @p319 :rule instantiate :premises (@p64) :args (@t259)) % 1.03/1.29 (step @p320 :rule cnf_or_pos :args (@t270)) % 1.03/1.29 (step @p321 :rule reordering :premises (@p320) :args ((or @t263 @t269 (not @t270)))) % 1.03/1.29 (step @p322 :rule chain_m_resolution :premises (@p321 @p312 @p319) :args (@t269 @t211 (@list @t260 @t270))) % 1.03/1.29 (assume-push @p449 @t269) % 1.03/1.29 (assume-push @p450 @t266) % 1.03/1.29 (assume-push @p451 @t269) % 1.03/1.29 (assume-push @p452 @t266) % 1.03/1.29 (step @p327 :rule true_intro :premises (@p449)) % 1.03/1.29 (step @p328 :rule symm :premises (@p450)) % 1.03/1.29 (step @p329 :rule refl :args (@t225)) % 1.03/1.29 (step @p330 :rule cong :premises (@p329 @p328) :args (@t271)) % 1.03/1.29 (step @p331 :rule trans :premises (@p330 @p327)) % 1.03/1.29 (step @p332 :rule true_elim :premises (@p331)) % 1.03/1.29 (step-pop @p453 :rule scope :premises (@p332)) % 1.03/1.29 (step-pop @p454 :rule scope :premises (@p453)) % 1.03/1.29 (step @p333 :rule process_scope :premises (@p454) :args (@t271)) % 1.03/1.29 (step @p336 :rule and_intro :premises (@p449 @p450)) % 1.03/1.29 (step @p337 :rule modus_ponens :premises (@p336 @p333)) % 1.03/1.29 (step-pop @p455 :rule scope :premises (@p337)) % 1.03/1.29 (step-pop @p456 :rule scope :premises (@p455)) % 1.03/1.29 (step @p338 :rule process_scope :premises (@p456) :args (@t271)) % 1.03/1.29 (step @p341 :rule implies_elim :premises (@p338)) % 1.03/1.29 (step @p342 :rule cnf_and_neg :args (@t272)) % 1.03/1.29 (step @p343 :rule resolution :premises (@p342 @p341) :args (true @t272)) % 1.03/1.29 (step @p344 :rule chain_m_resolution :premises (@p343 @p322 @p318) :args (@t271 @t211 (@list @t269 @t266))) % 1.03/1.29 (step @p345 :rule instantiate :premises (@p90) :args (@t258)) % 1.03/1.29 (step @p346 :rule cnf_or_pos :args (@t274)) % 1.03/1.29 (step @p347 :rule reordering :premises (@p346) :args ((or @t267 @t273 (not @t274)))) % 1.03/1.29 (step @p348 :rule chain_m_resolution :premises (@p347 @p315 @p345) :args (@t273 @t211 (@list @t262 @t274))) % 1.03/1.29 (step @p349 :rule instantiate :premises (@p89) :args (@t258)) % 1.03/1.29 (step @p350 :rule cnf_or_pos :args (@t276)) % 1.03/1.29 (step @p351 :rule reordering :premises (@p350) :args ((or @t267 @t275 (not @t276)))) % 1.03/1.29 (step @p352 :rule chain_m_resolution :premises (@p351 @p315 @p349) :args (@t275 @t211 (@list @t262 @t276))) % 1.03/1.29 (step @p353 :rule cnf_or_pos :args (@t283)) % 1.03/1.29 (step @p354 :rule reordering :premises (@p353) :args ((or @t279 @t278 @t277 @t282 (not @t283)))) % 1.03/1.29 (step @p355 :rule chain_m_resolution :premises (@p354 @p352 @p348 @p344 @p301) :args (@t282 (@list false false false false) (@list @t275 @t273 @t271 @t283))) % 1.03/1.29 (step @p356 :rule eq-symm :args (@t9 @t3)) % 1.03/1.29 (step @p357 :rule eq-symm :args (@t9 @t1)) % 1.03/1.29 (step @p358 :rule refl :args (@t14)) % 1.03/1.29 (step @p359 :rule nary_cong :premises (@p358 @p357 @p356) :args (@t15)) % 1.03/1.29 (step @p360 :rule cong :premises (@p359) :args (@t17)) % 1.03/1.29 (step @p361 :rule eq_resolve :premises (@p5 @p360)) % 1.03/1.29 (step @p362 :rule instantiate :premises (@p361) :args ((@list @t280 tptp.b tptp.b))) % 1.03/1.29 (step @p363 :rule instantiate :premises (@p91) :args (@t258)) % 1.03/1.29 (step @p364 :rule cnf_or_pos :args (@t285)) % 1.03/1.29 (step @p365 :rule reordering :premises (@p364) :args ((or @t267 @t284 (not @t285)))) % 1.03/1.29 (step @p366 :rule chain_m_resolution :premises (@p365 @p315 @p363) :args (@t284 @t211 (@list @t262 @t285))) % 1.03/1.29 (assume-push @p457 @t287) % 1.03/1.29 (assume-push @p458 @t284) % 1.03/1.29 (assume-push @p459 @t284) % 1.03/1.29 (assume-push @p460 @t287) % 1.03/1.29 (step @p371 :rule true_intro :premises (@p458)) % 1.03/1.29 (step @p372 :rule symm :premises (@p164)) % 1.03/1.29 (step @p373 :rule refl :args (@t280)) % 1.03/1.29 (step @p374 :rule cong :premises (@p373 @p372) :args (@t288)) % 1.03/1.29 (step @p375 :rule trans :premises (@p374 @p371)) % 1.03/1.29 (step @p376 :rule true_elim :premises (@p375)) % 1.03/1.29 (step-pop @p461 :rule scope :premises (@p376)) % 1.03/1.29 (step-pop @p462 :rule scope :premises (@p461)) % 1.03/1.29 (step @p377 :rule process_scope :premises (@p462) :args (@t288)) % 1.03/1.29 (step @p380 :rule and_intro :premises (@p458 @p164)) % 1.03/1.29 (step @p381 :rule modus_ponens :premises (@p380 @p377)) % 1.03/1.29 (step-pop @p463 :rule scope :premises (@p381)) % 1.03/1.29 (step-pop @p464 :rule scope :premises (@p463)) % 1.03/1.29 (step @p382 :rule process_scope :premises (@p464) :args (@t288)) % 1.03/1.29 (step @p385 :rule implies_elim :premises (@p382)) % 1.03/1.29 (step @p386 :rule cnf_and_neg :args (@t289)) % 1.03/1.29 (step @p387 :rule resolution :premises (@p386 @p385) :args (true @t289)) % 1.03/1.29 (step @p388 :rule chain_m_resolution :premises (@p387 @p164 @p366) :args (@t288 @t211 (@list @t287 @t284))) % 1.03/1.29 (step @p389 :rule cnf_or_pos :args (@t292)) % 1.03/1.29 (step @p390 :rule factoring :premises (@p389)) % 1.03/1.29 (step @p391 :rule reordering :premises (@p390) :args ((or @t291 @t290 (not @t292)))) % 1.03/1.29 (step @p392 :rule chain_m_resolution :premises (@p391 @p388 @p362) :args (@t290 @t211 (@list @t288 @t292))) % 1.03/1.29 (step @p393 :rule refl :args (@t293)) % 1.03/1.29 (step @p394 :rule refl :args (@t294)) % 1.03/1.29 (step @p395 :rule refl :args (@t295)) % 1.03/1.29 (step @p396 :rule bool-double-not-elim :args (@t226)) % 1.03/1.29 (step @p397 :rule nary_cong :premises (@p396 @p395 @p394 @p393) :args ((or (not @t227) @t295 @t294 @t293))) % 1.03/1.29 (assume-push @p465 @t227) % 1.03/1.29 (assume-push @p466 @t242) % 1.03/1.29 (assume-push @p467 @t290) % 1.03/1.29 (assume-push @p468 @t282) % 1.03/1.29 (step @p181 :rule evaluate :args (@t216)) % 1.03/1.29 (step @p402 :rule false_intro :premises (@p465)) % 1.03/1.29 (step @p403 :rule symm :premises (@p466)) % 1.03/1.29 (step @p404 :rule refl :args (tptp.a_function)) % 1.03/1.29 (step @p405 :rule cong :premises (@p404 @p403) :args ((tptp.apply tptp.a_function @t241))) % 1.03/1.29 (step @p406 :rule symm :premises (@p467)) % 1.03/1.29 (step @p407 :rule trans :premises (@p406 @p466)) % 1.03/1.29 (step @p408 :rule cong :premises (@p404 @p407) :args (@t281)) % 1.03/1.29 (step @p409 :rule trans :premises (@p408 @p405)) % 1.03/1.29 (step @p329 :rule refl :args (@t225)) % 1.03/1.29 (step @p410 :rule cong :premises (@p329 @p409) :args (@t282)) % 1.03/1.29 (step @p411 :rule true_intro :premises (@p468)) % 1.03/1.29 (step @p412 :rule symm :premises (@p411)) % 1.03/1.29 (step @p413 :rule trans :premises (@p412 @p410 @p402)) % 1.03/1.29 (step @p414 false :rule eq_resolve :premises (@p413 @p181)) % 1.03/1.29 (step-pop @p469 :rule scope :premises (@p414)) % 1.03/1.29 (step-pop @p470 :rule scope :premises (@p469)) % 1.03/1.29 (step-pop @p471 :rule scope :premises (@p470)) % 1.03/1.29 (step-pop @p472 :rule scope :premises (@p471)) % 1.03/1.29 (step @p415 :rule process_scope :premises (@p472) :args (false)) % 1.03/1.29 (step @p420 :rule not_and :premises (@p415)) % 1.03/1.29 (step @p421 :rule eq_resolve :premises (@p420 @p397)) % 1.03/1.29 (step @p422 false :rule chain_m_resolution :premises (@p421 @p392 @p355 @p271 @p212) :args (false (@list false false false true) (@list @t290 @t282 @t242 @t226))) % 1.03/1.29 ) % 1.03/1.29 % SZS output end Proof % 1.03/1.29 % cvc5 exiting %------------------------------------------------------------------------------