%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET031-3 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:47:04 AM UTC 2026 % Result : Unsatisfiable 0.44s 0.65s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET031-3 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n007.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 14:42:11 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.65 % SZS status Unsatisfiable % 0.44/0.65 % SZS output start Proof % 0.44/0.66 ( % 0.44/0.66 (declare-sort $$unsorted 0) % 0.44/0.66 (declare-const tptp.b $$unsorted) % 0.44/0.66 (declare-const tptp.f32 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.f31 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.f29 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.closed (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.f28 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.apply_to_two_arguments (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.f7 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.single_valued_set (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.f25 $$unsorted) % 0.44/0.66 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.infinity $$unsorted) % 0.44/0.66 (declare-const tptp.rotate_right (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.f24 (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.f2 (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.f30 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.f5 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.non_ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.estin $$unsorted) % 0.44/0.66 (declare-const tptp.singleton_set (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.f26 (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.flip_range_of (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.f11 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.little_set (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.f3 (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.f12 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.ordered_pair_predicate (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.f4 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.f20 (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.f18 (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.f14 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.f22 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.empty_set $$unsorted) % 0.44/0.66 (declare-const tptp.a $$unsorted) % 0.44/0.66 (declare-const tptp.universal_set $$unsorted) % 0.44/0.66 (declare-const tptp.f16 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.sigma (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.one_to_one_function (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.function (-> $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.f17 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.f13 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.f33 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.f19 (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.identity_relation $$unsorted) % 0.44/0.66 (declare-const tptp.f21 (-> $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.44/0.66 (declare-const tptp.f23 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (declare-const tptp.f27 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.66 (define @t1 () (@var "X" $$unsorted)) % 0.44/0.66 (define @t2 () (tptp.little_set @t1)) % 0.44/0.66 (define @t3 () (@var "Y" $$unsorted)) % 0.44/0.66 (define @t4 () (@list @t1 @t3)) % 0.44/0.66 (define @t5 () (= @t1 @t3)) % 0.44/0.66 (define @t6 () (tptp.f1 @t1 @t3)) % 0.44/0.66 (define @t7 () (tptp.member @t6 @t3)) % 0.44/0.66 (define @t8 () (tptp.member @t6 @t1)) % 0.44/0.66 (define @t9 () (@var "U" $$unsorted)) % 0.44/0.66 (define @t10 () (= @t9 @t3)) % 0.44/0.66 (define @t11 () (= @t9 @t1)) % 0.44/0.66 (define @t12 () (tptp.non_ordered_pair @t1 @t3)) % 0.44/0.66 (define @t13 () (tptp.member @t9 @t12)) % 0.44/0.66 (define @t14 () (@list @t9 @t1 @t3)) % 0.44/0.66 (define @t15 () (not (tptp.little_set @t9))) % 0.44/0.66 (define @t16 () (tptp.singleton_set @t1)) % 0.44/0.66 (define @t17 () (@list @t1)) % 0.44/0.66 (define @t18 () (tptp.ordered_pair @t1 @t3)) % 0.44/0.66 (define @t19 () (tptp.f2 @t1)) % 0.44/0.66 (define @t20 () (tptp.ordered_pair_predicate @t1)) % 0.44/0.66 (define @t21 () (not @t20)) % 0.44/0.66 (define @t22 () (tptp.f3 @t1)) % 0.44/0.66 (define @t23 () (@var "Z" $$unsorted)) % 0.44/0.66 (define @t24 () (tptp.ordered_pair @t3 @t23)) % 0.44/0.66 (define @t25 () (not (= @t1 @t24))) % 0.44/0.66 (define @t26 () (not (tptp.little_set @t23))) % 0.44/0.66 (define @t27 () (not (tptp.little_set @t3))) % 0.44/0.66 (define @t28 () (or @t20 @t27 @t26 @t25)) % 0.44/0.66 (define @t29 () (@list @t1 @t3 @t23)) % 0.44/0.66 (define @t30 () (forall @t29 @t28)) % 0.44/0.66 (define @t31 () (tptp.f4 @t23 @t1)) % 0.44/0.66 (define @t32 () (tptp.first @t1)) % 0.44/0.66 (define @t33 () (tptp.member @t23 @t32)) % 0.44/0.66 (define @t34 () (not @t33)) % 0.44/0.66 (define @t35 () (@list @t23 @t1)) % 0.44/0.66 (define @t36 () (tptp.f5 @t23 @t1)) % 0.44/0.66 (define @t37 () (@var "V" $$unsorted)) % 0.44/0.66 (define @t38 () (tptp.ordered_pair @t9 @t37)) % 0.44/0.66 (define @t39 () (not (= @t1 @t38))) % 0.44/0.66 (define @t40 () (not (tptp.little_set @t37))) % 0.44/0.66 (define @t41 () (@list @t23 @t1 @t9 @t37)) % 0.44/0.66 (define @t42 () (tptp.f6 @t23 @t1)) % 0.44/0.66 (define @t43 () (tptp.second @t1)) % 0.44/0.66 (define @t44 () (tptp.member @t23 @t43)) % 0.44/0.66 (define @t45 () (not @t44)) % 0.44/0.66 (define @t46 () (tptp.f7 @t23 @t1)) % 0.44/0.66 (define @t47 () (tptp.ordered_pair_predicate @t23)) % 0.44/0.66 (define @t48 () (tptp.member @t23 tptp.estin)) % 0.44/0.66 (define @t49 () (not @t48)) % 0.44/0.66 (define @t50 () (@list @t23)) % 0.44/0.66 (define @t51 () (tptp.second @t23)) % 0.44/0.66 (define @t52 () (tptp.first @t23)) % 0.44/0.66 (define @t53 () (tptp.member @t52 @t51)) % 0.44/0.66 (define @t54 () (not @t47)) % 0.44/0.66 (define @t55 () (tptp.member @t23 @t1)) % 0.44/0.66 (define @t56 () (tptp.member @t23 (tptp.intersection @t1 @t3))) % 0.44/0.66 (define @t57 () (not @t56)) % 0.44/0.66 (define @t58 () (@list @t23 @t1 @t3)) % 0.44/0.66 (define @t59 () (tptp.member @t23 @t3)) % 0.44/0.66 (define @t60 () (not @t59)) % 0.44/0.66 (define @t61 () (not @t55)) % 0.44/0.66 (define @t62 () (tptp.complement @t1)) % 0.44/0.66 (define @t63 () (tptp.member @t23 @t62)) % 0.44/0.66 (define @t64 () (tptp.f8 @t23 @t1)) % 0.44/0.66 (define @t65 () (tptp.member @t23 (tptp.domain_of @t1))) % 0.44/0.66 (define @t66 () (not @t65)) % 0.44/0.66 (define @t67 () (@var "Xp" $$unsorted)) % 0.44/0.66 (define @t68 () (not (tptp.member @t67 @t1))) % 0.44/0.66 (define @t69 () (not (tptp.ordered_pair_predicate @t67))) % 0.44/0.66 (define @t70 () (@list @t23 @t1 @t67)) % 0.44/0.66 (define @t71 () (tptp.member @t23 (tptp.cross_product @t1 @t3))) % 0.44/0.66 (define @t72 () (not @t71)) % 0.44/0.66 (define @t73 () (tptp.member @t52 @t1)) % 0.44/0.66 (define @t74 () (tptp.member @t51 @t3)) % 0.44/0.66 (define @t75 () (tptp.member @t23 (tptp.converse @t1))) % 0.44/0.66 (define @t76 () (not @t75)) % 0.44/0.66 (define @t77 () (tptp.member (tptp.ordered_pair @t51 @t52) @t1)) % 0.44/0.66 (define @t78 () (tptp.f9 @t23 @t1)) % 0.44/0.66 (define @t79 () (tptp.member @t23 (tptp.rotate_right @t1))) % 0.44/0.66 (define @t80 () (not @t79)) % 0.44/0.66 (define @t81 () (tptp.f10 @t23 @t1)) % 0.44/0.66 (define @t82 () (tptp.f11 @t23 @t1)) % 0.44/0.66 (define @t83 () (@var "W" $$unsorted)) % 0.44/0.66 (define @t84 () (not (= @t23 (tptp.ordered_pair @t9 (tptp.ordered_pair @t37 @t83))))) % 0.44/0.66 (define @t85 () (not (tptp.little_set @t83))) % 0.44/0.66 (define @t86 () (@list @t23 @t1 @t9 @t37 @t83)) % 0.44/0.66 (define @t87 () (tptp.f12 @t23 @t1)) % 0.44/0.66 (define @t88 () (tptp.member @t23 (tptp.flip_range_of @t1))) % 0.44/0.66 (define @t89 () (not @t88)) % 0.44/0.66 (define @t90 () (tptp.f13 @t23 @t1)) % 0.44/0.66 (define @t91 () (tptp.f14 @t23 @t1)) % 0.44/0.66 (define @t92 () (tptp.successor @t1)) % 0.44/0.66 (define @t93 () (tptp.f16 @t23 @t1)) % 0.44/0.66 (define @t94 () (tptp.member @t23 (tptp.sigma @t1))) % 0.44/0.66 (define @t95 () (not @t94)) % 0.44/0.66 (define @t96 () (@list @t9)) % 0.44/0.66 (define @t97 () (tptp.member @t9 @t3)) % 0.44/0.66 (define @t98 () (not (tptp.member @t9 @t1))) % 0.44/0.66 (define @t99 () (tptp.subset @t1 @t3)) % 0.44/0.66 (define @t100 () (not @t99)) % 0.44/0.66 (define @t101 () (@list @t1 @t3 @t9)) % 0.44/0.66 (define @t102 () (tptp.f17 @t1 @t3)) % 0.44/0.66 (define @t103 () (tptp.proper_subset @t1 @t3)) % 0.44/0.66 (define @t104 () (not @t103)) % 0.44/0.66 (define @t105 () (tptp.subset @t23 @t1)) % 0.44/0.66 (define @t106 () (tptp.member @t23 (tptp.powerset @t1))) % 0.44/0.66 (define @t107 () (tptp.relation @t23)) % 0.44/0.66 (define @t108 () (tptp.f18 @t23)) % 0.44/0.66 (define @t109 () (tptp.single_valued_set @t1)) % 0.44/0.66 (define @t110 () (tptp.f19 @t1)) % 0.44/0.66 (define @t111 () (tptp.f20 @t1)) % 0.44/0.66 (define @t112 () (tptp.f21 @t1)) % 0.44/0.66 (define @t113 () (@var "Xf" $$unsorted)) % 0.44/0.66 (define @t114 () (tptp.relation @t113)) % 0.44/0.66 (define @t115 () (tptp.function @t113)) % 0.44/0.66 (define @t116 () (not @t115)) % 0.44/0.66 (define @t117 () (@list @t113)) % 0.44/0.66 (define @t118 () (tptp.single_valued_set @t113)) % 0.44/0.66 (define @t119 () (tptp.f22 @t23 @t1 @t113)) % 0.44/0.66 (define @t120 () (tptp.image @t1 @t113)) % 0.44/0.66 (define @t121 () (tptp.member @t23 @t120)) % 0.44/0.66 (define @t122 () (not @t121)) % 0.44/0.66 (define @t123 () (@list @t23 @t1 @t113)) % 0.44/0.66 (define @t124 () (not @t2)) % 0.44/0.66 (define @t125 () (tptp.disjoint @t1 @t3)) % 0.44/0.66 (define @t126 () (tptp.f23 @t1 @t3)) % 0.44/0.66 (define @t127 () (tptp.f24 @t1)) % 0.44/0.66 (define @t128 () (= @t1 tptp.empty_set)) % 0.44/0.66 (define @t129 () (tptp.f26 @t1)) % 0.44/0.66 (define @t130 () (tptp.f27 @t23 @t1)) % 0.44/0.66 (define @t131 () (tptp.member @t23 (tptp.range_of @t1))) % 0.44/0.66 (define @t132 () (not @t131)) % 0.44/0.66 (define @t133 () (tptp.member @t23 tptp.identity_relation)) % 0.44/0.66 (define @t134 () (not @t133)) % 0.44/0.66 (define @t135 () (= @t52 @t51)) % 0.44/0.66 (define @t136 () (tptp.one_to_one_function @t113)) % 0.44/0.66 (define @t137 () (not @t136)) % 0.44/0.66 (define @t138 () (tptp.function (tptp.converse @t113))) % 0.44/0.66 (define @t139 () (tptp.f28 @t23 @t113 @t3)) % 0.44/0.66 (define @t140 () (tptp.apply @t113 @t3)) % 0.44/0.66 (define @t141 () (tptp.member @t23 @t140)) % 0.44/0.66 (define @t142 () (not @t141)) % 0.44/0.66 (define @t143 () (@list @t23 @t113 @t3)) % 0.44/0.66 (define @t144 () (@list @t113 @t1 @t3)) % 0.44/0.66 (define @t145 () (tptp.maps @t113 @t1 @t3)) % 0.44/0.66 (define @t146 () (not @t145)) % 0.44/0.66 (define @t147 () (= (tptp.domain_of @t113) @t1)) % 0.44/0.66 (define @t148 () (tptp.subset (tptp.range_of @t113) @t3)) % 0.44/0.66 (define @t149 () (@var "Xs" $$unsorted)) % 0.44/0.66 (define @t150 () (tptp.little_set @t149)) % 0.44/0.66 (define @t151 () (tptp.closed @t149 @t113)) % 0.44/0.66 (define @t152 () (not @t151)) % 0.44/0.66 (define @t153 () (@list @t149 @t113)) % 0.44/0.66 (define @t154 () (tptp.little_set @t113)) % 0.44/0.66 (define @t155 () (tptp.maps @t113 (tptp.cross_product @t149 @t149) @t149)) % 0.44/0.66 (define @t156 () (@var "Xg" $$unsorted)) % 0.44/0.66 (define @t157 () (tptp.f29 @t23 @t113 @t156)) % 0.44/0.66 (define @t158 () (tptp.member @t23 (tptp.compose @t113 @t156))) % 0.44/0.66 (define @t159 () (not @t158)) % 0.44/0.66 (define @t160 () (@list @t23 @t113 @t156)) % 0.44/0.66 (define @t161 () (tptp.f30 @t23 @t113 @t156)) % 0.44/0.66 (define @t162 () (tptp.f31 @t23 @t113 @t156)) % 0.44/0.66 (define @t163 () (@var "Xf1" $$unsorted)) % 0.44/0.66 (define @t164 () (@var "Xs1" $$unsorted)) % 0.44/0.66 (define @t165 () (tptp.closed @t164 @t163)) % 0.44/0.66 (define @t166 () (@var "Xf2" $$unsorted)) % 0.44/0.66 (define @t167 () (@var "Xs2" $$unsorted)) % 0.44/0.66 (define @t168 () (@var "Xh" $$unsorted)) % 0.44/0.66 (define @t169 () (tptp.homomorphism @t168 @t164 @t163 @t167 @t166)) % 0.44/0.66 (define @t170 () (not @t169)) % 0.44/0.66 (define @t171 () (@list @t168 @t164 @t163 @t167 @t166)) % 0.44/0.66 (define @t172 () (tptp.closed @t167 @t166)) % 0.44/0.66 (define @t173 () (tptp.maps @t168 @t164 @t167)) % 0.44/0.66 (define @t174 () (tptp.f32 @t168 @t164 @t163 @t167 @t166)) % 0.44/0.66 (define @t175 () (not @t173)) % 0.44/0.66 (define @t176 () (not @t172)) % 0.44/0.66 (define @t177 () (not @t165)) % 0.44/0.66 (define @t178 () (tptp.f33 @t168 @t164 @t163 @t167 @t166)) % 0.44/0.66 (define @t179 () (not (= @t18 @t38))) % 0.44/0.66 (define @t180 () (tptp.image (tptp.singleton_set @t3) @t113)) % 0.44/0.66 (define @t181 () (tptp.compose tptp.a tptp.b)) % 0.44/0.66 (define @t182 () (tptp.relation @t181)) % 0.44/0.66 (define @t183 () (tptp.ordered_pair_predicate @t24)) % 0.44/0.66 (define @t184 () (not (= @t24 @t24))) % 0.44/0.66 (define @t185 () (or @t183 @t27 @t26 @t184)) % 0.44/0.66 (define @t186 () (@list @t3 @t23)) % 0.44/0.66 (define @t187 () (or @t25 @t20 @t27 @t26 @t25)) % 0.44/0.66 (define @t188 () (forall @t17 @t28)) % 0.44/0.66 (define @t189 () (forall @t186 @t188)) % 0.44/0.66 (define @t190 () (forall (@list @t3 @t23 @t1) @t28)) % 0.44/0.66 (define @t191 () (tptp.f18 @t181)) % 0.44/0.66 (define @t192 () (tptp.f30 @t191 tptp.a tptp.b)) % 0.44/0.66 (define @t193 () (tptp.f29 @t191 tptp.a tptp.b)) % 0.44/0.66 (define @t194 () (@list @t191 tptp.a tptp.b)) % 0.44/0.66 (define @t195 () (@list @t181)) % 0.44/0.66 (define @t196 () (tptp.member @t191 @t181)) % 0.44/0.66 (define @t197 () (or @t182 @t196)) % 0.44/0.66 (define @t198 () (@list true false)) % 0.44/0.66 (define @t199 () (tptp.little_set @t192)) % 0.44/0.66 (define @t200 () (not @t196)) % 0.44/0.66 (define @t201 () (or @t200 @t199)) % 0.44/0.66 (define @t202 () (@list false false)) % 0.44/0.66 (define @t203 () (tptp.little_set @t193)) % 0.44/0.66 (define @t204 () (or @t200 @t203)) % 0.44/0.66 (define @t205 () (not @t199)) % 0.44/0.66 (define @t206 () (not @t203)) % 0.44/0.66 (define @t207 () (tptp.ordered_pair @t193 @t192)) % 0.44/0.66 (define @t208 () (tptp.ordered_pair_predicate @t207)) % 0.44/0.66 (define @t209 () (or @t208 @t206 @t205)) % 0.44/0.66 (define @t210 () (= @t191 @t207)) % 0.44/0.66 (define @t211 () (or @t200 @t210)) % 0.44/0.66 (define @t212 () (tptp.ordered_pair_predicate @t191)) % 0.44/0.66 (define @t213 () (not @t212)) % 0.44/0.66 (define @t214 () (or @t182 @t213)) % 0.44/0.66 (assume @p1 (forall @t4 (or (not (tptp.member @t1 @t3)) @t2))) % 0.44/0.66 (assume @p2 (forall @t4 (or (tptp.little_set @t6) @t5))) % 0.44/0.66 (assume @p3 (forall @t4 (or @t8 @t7 @t5))) % 0.44/0.66 (assume @p4 (forall @t4 (or (not @t8) (not @t7) @t5))) % 0.44/0.66 (assume @p5 (forall @t14 (or (not @t13) @t11 @t10))) % 0.44/0.66 (assume @p6 (forall @t14 (or @t13 @t15 (not @t11)))) % 0.44/0.66 (assume @p7 (forall @t14 (or @t13 @t15 (not @t10)))) % 0.44/0.66 (assume @p8 (forall @t4 (tptp.little_set @t12))) % 0.44/0.66 (assume @p9 (forall @t17 (= @t16 (tptp.non_ordered_pair @t1 @t1)))) % 0.44/0.66 (assume @p10 (forall @t4 (= @t18 (tptp.non_ordered_pair @t16 @t12)))) % 0.44/0.66 (assume @p11 (forall @t17 (or @t21 (tptp.little_set @t19)))) % 0.44/0.66 (assume @p12 (forall @t17 (or @t21 (tptp.little_set @t22)))) % 0.44/0.66 (assume @p13 (forall @t17 (or @t21 (= @t1 (tptp.ordered_pair @t19 @t22))))) % 0.44/0.66 (assume @p14 @t30) % 0.44/0.66 (assume @p15 (forall @t35 (or @t34 (tptp.little_set @t31)))) % 0.44/0.66 (assume @p16 (forall @t35 (or @t34 (tptp.little_set @t36)))) % 0.44/0.66 (assume @p17 (forall @t35 (or @t34 (= @t1 (tptp.ordered_pair @t31 @t36))))) % 0.44/0.66 (assume @p18 (forall @t35 (or @t34 (tptp.member @t23 @t31)))) % 0.44/0.66 (assume @p19 (forall @t41 (or @t33 @t15 @t40 @t39 (not (tptp.member @t23 @t9))))) % 0.44/0.66 (assume @p20 (forall @t35 (or @t45 (tptp.little_set @t42)))) % 0.44/0.66 (assume @p21 (forall @t35 (or @t45 (tptp.little_set @t46)))) % 0.44/0.66 (assume @p22 (forall @t35 (or @t45 (= @t1 (tptp.ordered_pair @t42 @t46))))) % 0.44/0.66 (assume @p23 (forall @t35 (or @t45 (tptp.member @t23 @t46)))) % 0.44/0.66 (assume @p24 (forall @t41 (or @t44 @t15 @t40 @t39 (not (tptp.member @t23 @t37))))) % 0.44/0.66 (assume @p25 (forall @t50 (or @t49 @t47))) % 0.44/0.66 (assume @p26 (forall @t50 (or @t49 @t53))) % 0.44/0.66 (assume @p27 (forall @t50 (or @t48 @t26 @t54 (not @t53)))) % 0.44/0.66 (assume @p28 (forall @t58 (or @t57 @t55))) % 0.44/0.66 (assume @p29 (forall @t58 (or @t57 @t59))) % 0.44/0.66 (assume @p30 (forall @t58 (or @t56 @t61 @t60))) % 0.44/0.66 (assume @p31 (forall @t35 (or (not @t63) @t61))) % 0.44/0.66 (assume @p32 (forall @t35 (or @t63 @t26 @t55))) % 0.44/0.66 (assume @p33 (forall @t4 (= (tptp.union @t1 @t3) (tptp.complement (tptp.intersection @t62 (tptp.complement @t3)))))) % 0.44/0.66 (assume @p34 (forall @t35 (or @t66 (tptp.ordered_pair_predicate @t64)))) % 0.44/0.66 (assume @p35 (forall @t35 (or @t66 (tptp.member @t64 @t1)))) % 0.44/0.66 (assume @p36 (forall @t35 (or @t66 (= @t23 (tptp.first @t64))))) % 0.44/0.66 (assume @p37 (forall @t70 (or @t65 @t26 @t69 @t68 (not (= @t23 (tptp.first @t67)))))) % 0.44/0.66 (assume @p38 (forall @t58 (or @t72 @t47))) % 0.44/0.66 (assume @p39 (forall @t58 (or @t72 @t73))) % 0.44/0.66 (assume @p40 (forall @t58 (or @t72 @t74))) % 0.44/0.66 (assume @p41 (forall @t58 (or @t71 @t26 @t54 (not @t73) (not @t74)))) % 0.44/0.66 (assume @p42 (forall @t35 (or @t76 @t47))) % 0.44/0.66 (assume @p43 (forall @t35 (or @t76 @t77))) % 0.44/0.66 (assume @p44 (forall @t35 (or @t75 @t26 @t54 (not @t77)))) % 0.44/0.66 (assume @p45 (forall @t35 (or @t80 (tptp.little_set @t78)))) % 0.44/0.66 (assume @p46 (forall @t35 (or @t80 (tptp.little_set @t81)))) % 0.44/0.66 (assume @p47 (forall @t35 (or @t80 (tptp.little_set @t82)))) % 0.44/0.66 (assume @p48 (forall @t35 (or @t80 (= @t23 (tptp.ordered_pair @t78 (tptp.ordered_pair @t81 @t82)))))) % 0.44/0.66 (assume @p49 (forall @t35 (or @t80 (tptp.member (tptp.ordered_pair @t81 (tptp.ordered_pair @t82 @t78)) @t1)))) % 0.44/0.66 (assume @p50 (forall @t86 (or @t79 @t26 @t15 @t40 @t85 @t84 (not (tptp.member (tptp.ordered_pair @t37 (tptp.ordered_pair @t83 @t9)) @t1))))) % 0.44/0.66 (assume @p51 (forall @t35 (or @t89 (tptp.little_set @t87)))) % 0.44/0.66 (assume @p52 (forall @t35 (or @t89 (tptp.little_set @t90)))) % 0.44/0.66 (assume @p53 (forall @t35 (or @t89 (tptp.little_set @t91)))) % 0.44/0.66 (assume @p54 (forall @t35 (or @t89 (= @t23 (tptp.ordered_pair @t87 (tptp.ordered_pair @t90 @t91)))))) % 0.44/0.66 (assume @p55 (forall @t35 (or @t89 (tptp.member (tptp.ordered_pair @t87 (tptp.ordered_pair @t91 @t90)) @t1)))) % 0.44/0.66 (assume @p56 (forall @t86 (or @t88 @t26 @t15 @t40 @t85 @t84 (not (tptp.member (tptp.ordered_pair @t9 (tptp.ordered_pair @t83 @t37)) @t1))))) % 0.44/0.66 (assume @p57 (forall @t17 (= @t92 (tptp.union @t1 @t16)))) % 0.44/0.66 (assume @p58 (forall @t50 (not (tptp.member @t23 tptp.empty_set)))) % 0.44/0.66 (assume @p59 (forall @t50 (or (tptp.member @t23 tptp.universal_set) @t26))) % 0.44/0.66 (assume @p60 (tptp.little_set tptp.infinity)) % 0.44/0.66 (assume @p61 (tptp.member tptp.empty_set tptp.infinity)) % 0.44/0.66 (assume @p62 (forall @t17 (or (not (tptp.member @t1 tptp.infinity)) (tptp.member @t92 tptp.infinity)))) % 0.44/0.66 (assume @p63 (forall @t35 (or @t95 (tptp.member @t93 @t1)))) % 0.44/0.66 (assume @p64 (forall @t35 (or @t95 (tptp.member @t23 @t93)))) % 0.44/0.66 (assume @p65 (forall @t58 (or @t94 (not (tptp.member @t3 @t1)) @t60))) % 0.44/0.66 (assume @p66 (forall @t96 (or @t15 (tptp.little_set (tptp.sigma @t9))))) % 0.44/0.66 (assume @p67 (forall @t101 (or @t100 @t98 @t97))) % 0.44/0.66 (assume @p68 (forall @t4 (or @t99 (tptp.member @t102 @t1)))) % 0.44/0.66 (assume @p69 (forall @t4 (or @t99 (not (tptp.member @t102 @t3))))) % 0.44/0.66 (assume @p70 (forall @t4 (or @t104 @t99))) % 0.44/0.66 (assume @p71 (forall @t4 (or @t104 (not @t5)))) % 0.44/0.66 (assume @p72 (forall @t4 (or @t103 @t100 @t5))) % 0.44/0.66 (assume @p73 (forall @t35 (or (not @t106) @t105))) % 0.44/0.66 (assume @p74 (forall @t35 (or @t106 @t26 (not @t105)))) % 0.44/0.66 (assume @p75 (forall @t96 (or @t15 (tptp.little_set (tptp.powerset @t9))))) % 0.44/0.66 (assume @p76 (forall @t35 (or (not @t107) (not (tptp.member @t1 @t23)) @t20))) % 0.44/0.66 (assume @p77 (forall @t50 (or @t107 (tptp.member @t108 @t23)))) % 0.44/0.66 (assume @p78 (forall @t50 (or @t107 (not (tptp.ordered_pair_predicate @t108))))) % 0.44/0.66 (assume @p79 (forall (@list @t1 @t9 @t37 @t83) (or (not @t109) @t15 @t40 @t85 (not (tptp.member @t38 @t1)) (not (tptp.member (tptp.ordered_pair @t9 @t83) @t1)) (= @t37 @t83)))) % 0.44/0.66 (assume @p80 (forall @t17 (or @t109 (tptp.little_set @t110)))) % 0.44/0.66 (assume @p81 (forall @t17 (or @t109 (tptp.little_set @t111)))) % 0.44/0.66 (assume @p82 (forall @t17 (or @t109 (tptp.little_set @t112)))) % 0.44/0.66 (assume @p83 (forall @t17 (or @t109 (tptp.member (tptp.ordered_pair @t110 @t111) @t1)))) % 0.44/0.66 (assume @p84 (forall @t17 (or @t109 (tptp.member (tptp.ordered_pair @t110 @t112) @t1)))) % 0.44/0.66 (assume @p85 (forall @t17 (or @t109 (not (= @t111 @t112))))) % 0.44/0.66 (assume @p86 (forall @t117 (or @t116 @t114))) % 0.44/0.66 (assume @p87 (forall @t117 (or @t116 @t118))) % 0.44/0.66 (assume @p88 (forall @t117 (or @t115 (not @t114) (not @t118)))) % 0.44/0.66 (assume @p89 (forall @t123 (or @t122 (tptp.ordered_pair_predicate @t119)))) % 0.44/0.66 (assume @p90 (forall @t123 (or @t122 (tptp.member @t119 @t113)))) % 0.44/0.66 (assume @p91 (forall @t123 (or @t122 (tptp.member (tptp.first @t119) @t1)))) % 0.44/0.66 (assume @p92 (forall @t123 (or @t122 (= (tptp.second @t119) @t23)))) % 0.44/0.66 (assume @p93 (forall (@list @t23 @t1 @t113 @t3) (or @t121 @t26 (not (tptp.ordered_pair_predicate @t3)) (not (tptp.member @t3 @t113)) (not (tptp.member (tptp.first @t3) @t1)) (not (= (tptp.second @t3) @t23))))) % 0.44/0.66 (assume @p94 (forall (@list @t1 @t113) (or @t124 @t116 (tptp.little_set @t120)))) % 0.44/0.66 (assume @p95 (forall @t101 (or (not @t125) @t98 (not @t97)))) % 0.44/0.66 (assume @p96 (forall @t4 (or @t125 (tptp.member @t126 @t1)))) % 0.44/0.66 (assume @p97 (forall @t4 (or @t125 (tptp.member @t126 @t3)))) % 0.44/0.66 (assume @p98 (forall @t17 (or @t128 (tptp.member @t127 @t1)))) % 0.44/0.66 (assume @p99 (forall @t17 (or @t128 (tptp.disjoint @t127 @t1)))) % 0.44/0.66 (assume @p100 (tptp.function tptp.f25)) % 0.44/0.66 (assume @p101 (forall @t17 (or @t124 @t128 (tptp.member @t129 @t1)))) % 0.44/0.66 (assume @p102 (forall @t17 (or @t124 @t128 (tptp.member (tptp.ordered_pair @t1 @t129) tptp.f25)))) % 0.44/0.66 (assume @p103 (forall @t35 (or @t132 (tptp.ordered_pair_predicate @t130)))) % 0.44/0.66 (assume @p104 (forall @t35 (or @t132 (tptp.member @t130 @t1)))) % 0.44/0.66 (assume @p105 (forall @t35 (or @t132 (= @t23 (tptp.second @t130))))) % 0.44/0.66 (assume @p106 (forall @t70 (or @t131 @t26 @t69 @t68 (not (= @t23 (tptp.second @t67)))))) % 0.44/0.66 (assume @p107 (forall @t50 (or @t134 @t47))) % 0.44/0.66 (assume @p108 (forall @t50 (or @t134 @t135))) % 0.44/0.66 (assume @p109 (forall @t50 (or @t133 @t26 @t54 (not @t135)))) % 0.44/0.66 (assume @p110 (forall @t4 (= (tptp.restrict @t1 @t3) (tptp.intersection @t1 (tptp.cross_product @t3 tptp.universal_set))))) % 0.44/0.66 (assume @p111 (forall @t117 (or @t137 @t115))) % 0.44/0.66 (assume @p112 (forall @t117 (or @t137 @t138))) % 0.44/0.66 (assume @p113 (forall @t117 (or @t136 @t116 (not @t138)))) % 0.44/0.66 (assume @p114 (forall @t143 (or @t142 (tptp.ordered_pair_predicate @t139)))) % 0.44/0.66 (assume @p115 (forall @t143 (or @t142 (tptp.member @t139 @t113)))) % 0.44/0.66 (assume @p116 (forall @t143 (or @t142 (= (tptp.first @t139) @t3)))) % 0.44/0.66 (assume @p117 (forall @t143 (or @t142 (tptp.member @t23 (tptp.second @t139))))) % 0.44/0.66 (assume @p118 (forall (@list @t23 @t113 @t3 @t83) (or @t141 (not (tptp.ordered_pair_predicate @t83)) (not (tptp.member @t83 @t113)) (not (= (tptp.first @t83) @t3)) (not (tptp.member @t23 (tptp.second @t83)))))) % 0.44/0.66 (assume @p119 (forall @t144 (= (tptp.apply_to_two_arguments @t113 @t1 @t3) (tptp.apply @t113 @t18)))) % 0.44/0.66 (assume @p120 (forall @t144 (or @t146 @t115))) % 0.44/0.66 (assume @p121 (forall @t144 (or @t146 @t147))) % 0.44/0.66 (assume @p122 (forall @t144 (or @t146 @t148))) % 0.44/0.66 (assume @p123 (forall @t144 (or @t145 @t116 (not @t147) (not @t148)))) % 0.44/0.66 (assume @p124 (forall @t153 (or @t152 @t150))) % 0.44/0.66 (assume @p125 (forall @t153 (or @t152 @t154))) % 0.44/0.66 (assume @p126 (forall @t153 (or @t152 @t155))) % 0.44/0.66 (assume @p127 (forall @t153 (or @t151 (not @t150) (not @t154) (not @t155)))) % 0.44/0.66 (assume @p128 (forall @t160 (or @t159 (tptp.little_set @t157)))) % 0.44/0.66 (assume @p129 (forall @t160 (or @t159 (tptp.little_set @t161)))) % 0.44/0.66 (assume @p130 (forall @t160 (or @t159 (tptp.little_set @t162)))) % 0.44/0.66 (assume @p131 (forall @t160 (or @t159 (= @t23 (tptp.ordered_pair @t157 @t161))))) % 0.44/0.66 (assume @p132 (forall @t160 (or @t159 (tptp.member (tptp.ordered_pair @t157 @t162) @t113)))) % 0.44/0.66 (assume @p133 (forall @t160 (or @t159 (tptp.member (tptp.ordered_pair @t162 @t161) @t156)))) % 0.44/0.66 (assume @p134 (forall (@list @t23 @t113 @t156 @t1 @t3 @t83) (or @t158 @t26 @t124 @t27 @t85 (not (= @t23 @t18)) (not (tptp.member (tptp.ordered_pair @t1 @t83) @t113)) (not (tptp.member (tptp.ordered_pair @t83 @t3) @t156))))) % 0.44/0.66 (assume @p135 (forall @t171 (or @t170 @t165))) % 0.44/0.66 (assume @p136 (forall @t171 (or @t170 @t172))) % 0.44/0.66 (assume @p137 (forall @t171 (or @t170 @t173))) % 0.44/0.66 (assume @p138 (forall (@list @t168 @t164 @t163 @t167 @t166 @t1 @t3) (or @t170 (not (tptp.member @t1 @t164)) (not (tptp.member @t3 @t164)) (= (tptp.apply @t168 (tptp.apply_to_two_arguments @t163 @t1 @t3)) (tptp.apply_to_two_arguments @t166 (tptp.apply @t168 @t1) (tptp.apply @t168 @t3)))))) % 0.44/0.66 (assume @p139 (forall @t171 (or @t169 @t177 @t176 @t175 (tptp.member @t174 @t164)))) % 0.44/0.66 (assume @p140 (forall @t171 (or @t169 @t177 @t176 @t175 (tptp.member @t178 @t164)))) % 0.44/0.66 (assume @p141 (forall @t171 (or @t169 @t177 @t176 @t175 (not (= (tptp.apply @t168 (tptp.apply_to_two_arguments @t163 @t174 @t178)) (tptp.apply_to_two_arguments @t166 (tptp.apply @t168 @t174) (tptp.apply @t168 @t178))))))) % 0.44/0.66 (assume @p142 (forall (@list @t1 @t9 @t3 @t37) (or @t124 @t15 @t179 (= @t1 @t9)))) % 0.44/0.66 (assume @p143 (forall @t29 (or @t124 @t27 (not (= (tptp.non_ordered_pair @t23 @t1) (tptp.non_ordered_pair @t23 @t3))) @t5))) % 0.44/0.66 (assume @p144 (forall (@list @t1 @t3 @t9 @t37) (or @t124 @t27 @t15 @t40 @t179 (= @t3 @t37)))) % 0.44/0.66 (assume @p145 (forall @t4 (or @t100 (not (tptp.subset @t3 @t1)) @t5))) % 0.44/0.66 (assume @p146 (forall @t4 (or @t124 @t27 (= (tptp.first @t18) @t1)))) % 0.44/0.66 (assume @p147 (forall @t4 (or @t124 @t27 (= (tptp.second @t18) @t3)))) % 0.44/0.66 (assume @p148 (forall @t17 (or @t21 (tptp.little_set @t32)))) % 0.44/0.66 (assume @p149 (forall @t17 (or @t21 (tptp.little_set @t43)))) % 0.44/0.66 (assume @p150 (forall @t17 (or @t124 (tptp.member @t1 @t16)))) % 0.44/0.66 (assume @p151 (forall @t4 (tptp.little_set @t18))) % 0.44/0.66 (assume @p152 (forall @t17 (or @t21 @t2))) % 0.44/0.66 (assume @p153 (forall @t29 (or @t100 (not (tptp.subset @t3 @t23)) (tptp.subset @t1 @t23)))) % 0.44/0.66 (assume @p154 (forall (@list @t113 @t3) (tptp.subset @t140 (tptp.sigma @t180)))) % 0.44/0.66 (assume @p155 (forall (@list @t3 @t113) (tptp.subset @t180 @t140))) % 0.44/0.66 (assume @p156 (forall (@list @t3 @t1) (or (not (tptp.function @t3)) (tptp.little_set (tptp.apply @t3 @t1))))) % 0.44/0.66 (assume @p157 (not @t182)) % 0.44/0.66 (step @p158 :rule evaluate :args ((= false true))) % 0.44/0.66 (step @p159 :rule aci_norm :args ((= (or @t183 @t27 @t26 false) (or @t183 @t27 @t26)))) % 0.44/0.66 (step @p160 :rule evaluate :args ((not true))) % 0.44/0.66 (step @p161 :rule eq-refl :args (@t24)) % 0.44/0.66 (step @p162 :rule cong :premises (@p161) :args (@t184)) % 0.44/0.66 (step @p163 :rule trans :premises (@p162 @p160)) % 0.44/0.66 (step @p164 :rule refl :args (@t26)) % 0.44/0.66 (step @p165 :rule refl :args (@t27)) % 0.44/0.66 (step @p166 :rule refl :args (@t183)) % 0.44/0.66 (step @p167 :rule nary_cong :premises (@p166 @p165 @p164 @p163) :args (@t185)) % 0.44/0.66 (step @p168 :rule trans :premises (@p167 @p159)) % 0.44/0.66 (step @p169 :rule cong :premises (@p168) :args ((forall @t186 @t185))) % 0.44/0.66 (step @p170 :rule quant-var-elim-eq :args ((= (forall @t17 @t187) @t185))) % 0.44/0.66 (step @p171 :rule aci_norm :args ((= @t28 @t187))) % 0.44/0.66 (step @p172 :rule cong :premises (@p171) :args (@t188)) % 0.44/0.66 (step @p173 :rule trans :premises (@p172 @p170)) % 0.44/0.66 (step @p174 :rule cong :premises (@p173) :args (@t189)) % 0.44/0.66 (step @p175 :rule quant-merge-prenex :args ((= @t189 @t190))) % 0.44/0.66 (step @p176 :rule symm :premises (@p175)) % 0.44/0.66 (step @p177 :rule quant_var_reordering :args ((= @t30 @t190))) % 0.44/0.66 (step @p178 :rule trans :premises (@p177 @p176 @p174)) % 0.44/0.66 (step @p179 :rule trans :premises (@p178 @p169)) % 0.44/0.66 (step @p180 :rule eq_resolve :premises (@p14 @p179)) % 0.44/0.66 (step @p181 :rule instantiate :premises (@p180) :args ((@list @t193 @t192))) % 0.44/0.66 (step @p182 :rule instantiate :premises (@p129) :args (@t194)) % 0.44/0.66 (step @p183 :rule instantiate :premises (@p77) :args (@t195)) % 0.44/0.66 (step @p184 :rule cnf_or_pos :args (@t197)) % 0.44/0.66 (step @p185 :rule reordering :premises (@p184) :args ((or @t182 @t196 (not @t197)))) % 0.44/0.66 (step @p186 :rule chain_m_resolution :premises (@p185 @p157 @p183) :args (@t196 @t198 (@list @t182 @t197))) % 0.44/0.66 (step @p187 :rule cnf_or_pos :args (@t201)) % 0.44/0.66 (step @p188 :rule reordering :premises (@p187) :args ((or @t200 @t199 (not @t201)))) % 0.44/0.66 (step @p189 :rule chain_m_resolution :premises (@p188 @p186 @p182) :args (@t199 @t202 (@list @t196 @t201))) % 0.44/0.66 (step @p190 :rule instantiate :premises (@p128) :args (@t194)) % 0.44/0.66 (step @p191 :rule cnf_or_pos :args (@t204)) % 0.44/0.66 (step @p192 :rule reordering :premises (@p191) :args ((or @t200 @t203 (not @t204)))) % 0.44/0.66 (step @p193 :rule chain_m_resolution :premises (@p192 @p186 @p190) :args (@t203 @t202 (@list @t196 @t204))) % 0.44/0.66 (step @p194 :rule cnf_or_pos :args (@t209)) % 0.44/0.66 (step @p195 :rule reordering :premises (@p194) :args ((or @t206 @t205 @t208 (not @t209)))) % 0.44/0.66 (step @p196 :rule chain_m_resolution :premises (@p195 @p193 @p189 @p181) :args (@t208 (@list false false false) (@list @t203 @t199 @t209))) % 0.44/0.66 (step @p197 :rule true_intro :premises (@p196)) % 0.44/0.66 (step @p198 :rule instantiate :premises (@p131) :args (@t194)) % 0.44/0.66 (step @p199 :rule cnf_or_pos :args (@t211)) % 0.44/0.66 (step @p200 :rule reordering :premises (@p199) :args ((or @t200 @t210 (not @t211)))) % 0.44/0.66 (step @p201 :rule chain_m_resolution :premises (@p200 @p186 @p198) :args (@t210 @t202 (@list @t196 @t211))) % 0.44/0.66 (step @p202 :rule cong :premises (@p201) :args (@t212)) % 0.44/0.66 (step @p203 :rule instantiate :premises (@p78) :args (@t195)) % 0.44/0.66 (step @p204 :rule cnf_or_pos :args (@t214)) % 0.44/0.66 (step @p205 :rule reordering :premises (@p204) :args ((or @t182 @t213 (not @t214)))) % 0.44/0.66 (step @p206 :rule chain_m_resolution :premises (@p205 @p157 @p203) :args (@t213 @t198 (@list @t182 @t214))) % 0.44/0.66 (step @p207 :rule false_intro :premises (@p206)) % 0.44/0.66 (step @p208 :rule symm :premises (@p207)) % 0.44/0.66 (step @p209 :rule trans :premises (@p208 @p202 @p197)) % 0.44/0.66 (step @p210 false :rule eq_resolve :premises (@p209 @p158)) % 0.44/0.66 ) % 0.44/0.67 % SZS output end Proof % 0.44/0.67 % cvc5 exiting %------------------------------------------------------------------------------