%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET034-3 : 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 : n024.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 0.52s 0.71s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SET034-3 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 09:43:00 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.35 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.71 % SZS status Unsatisfiable % 0.52/0.71 % SZS output start Proof % 0.52/0.72 ( % 0.52/0.72 (declare-sort $$unsorted 0) % 0.52/0.72 (declare-const tptp.a_function $$unsorted) % 0.52/0.72 (declare-const tptp.f32 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.f31 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.f29 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.closed (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.another_function $$unsorted) % 0.52/0.72 (declare-const tptp.f28 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.apply_to_two_arguments (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.f7 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.single_valued_set (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.f25 $$unsorted) % 0.52/0.72 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.infinity $$unsorted) % 0.52/0.72 (declare-const tptp.rotate_right (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.f24 (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.f2 (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.f30 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.f5 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.non_ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.estin $$unsorted) % 0.52/0.72 (declare-const tptp.singleton_set (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.f26 (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.flip_range_of (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.f11 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.little_set (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.f3 (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.f12 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.ordered_pair_predicate (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.f4 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.f20 (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.f18 (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.f14 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.f22 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.empty_set $$unsorted) % 0.52/0.72 (declare-const tptp.universal_set $$unsorted) % 0.52/0.72 (declare-const tptp.f16 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.sigma (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.one_to_one_function (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.function (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.f17 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.f13 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.f33 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.f19 (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.identity_relation $$unsorted) % 0.52/0.72 (declare-const tptp.f21 (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.f23 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.f27 (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (define @t1 () (@var "X" $$unsorted)) % 0.52/0.72 (define @t2 () (tptp.little_set @t1)) % 0.52/0.72 (define @t3 () (@var "Y" $$unsorted)) % 0.52/0.72 (define @t4 () (@list @t1 @t3)) % 0.52/0.72 (define @t5 () (= @t1 @t3)) % 0.52/0.72 (define @t6 () (tptp.f1 @t1 @t3)) % 0.52/0.72 (define @t7 () (tptp.member @t6 @t3)) % 0.52/0.72 (define @t8 () (tptp.member @t6 @t1)) % 0.52/0.72 (define @t9 () (@var "U" $$unsorted)) % 0.52/0.72 (define @t10 () (= @t9 @t3)) % 0.52/0.72 (define @t11 () (= @t9 @t1)) % 0.52/0.72 (define @t12 () (tptp.non_ordered_pair @t1 @t3)) % 0.52/0.72 (define @t13 () (tptp.member @t9 @t12)) % 0.52/0.72 (define @t14 () (@list @t9 @t1 @t3)) % 0.52/0.72 (define @t15 () (not (tptp.little_set @t9))) % 0.52/0.72 (define @t16 () (tptp.singleton_set @t1)) % 0.52/0.72 (define @t17 () (@list @t1)) % 0.52/0.72 (define @t18 () (tptp.ordered_pair @t1 @t3)) % 0.52/0.72 (define @t19 () (tptp.f2 @t1)) % 0.52/0.72 (define @t20 () (tptp.ordered_pair_predicate @t1)) % 0.52/0.72 (define @t21 () (not @t20)) % 0.52/0.72 (define @t22 () (tptp.f3 @t1)) % 0.52/0.72 (define @t23 () (@var "Z" $$unsorted)) % 0.52/0.72 (define @t24 () (not (tptp.little_set @t23))) % 0.52/0.72 (define @t25 () (not (tptp.little_set @t3))) % 0.52/0.72 (define @t26 () (@list @t1 @t3 @t23)) % 0.52/0.72 (define @t27 () (tptp.f4 @t23 @t1)) % 0.52/0.72 (define @t28 () (tptp.first @t1)) % 0.52/0.72 (define @t29 () (tptp.member @t23 @t28)) % 0.52/0.72 (define @t30 () (not @t29)) % 0.52/0.72 (define @t31 () (@list @t23 @t1)) % 0.52/0.72 (define @t32 () (tptp.f5 @t23 @t1)) % 0.52/0.72 (define @t33 () (@var "V" $$unsorted)) % 0.52/0.72 (define @t34 () (tptp.ordered_pair @t9 @t33)) % 0.52/0.72 (define @t35 () (not (= @t1 @t34))) % 0.52/0.72 (define @t36 () (not (tptp.little_set @t33))) % 0.52/0.72 (define @t37 () (@list @t23 @t1 @t9 @t33)) % 0.52/0.72 (define @t38 () (tptp.f6 @t23 @t1)) % 0.52/0.72 (define @t39 () (tptp.second @t1)) % 0.52/0.72 (define @t40 () (tptp.member @t23 @t39)) % 0.52/0.72 (define @t41 () (not @t40)) % 0.52/0.72 (define @t42 () (tptp.f7 @t23 @t1)) % 0.52/0.72 (define @t43 () (tptp.ordered_pair_predicate @t23)) % 0.52/0.72 (define @t44 () (tptp.member @t23 tptp.estin)) % 0.52/0.72 (define @t45 () (not @t44)) % 0.52/0.72 (define @t46 () (@list @t23)) % 0.52/0.72 (define @t47 () (tptp.second @t23)) % 0.52/0.72 (define @t48 () (tptp.first @t23)) % 0.52/0.72 (define @t49 () (tptp.member @t48 @t47)) % 0.52/0.72 (define @t50 () (not @t43)) % 0.52/0.72 (define @t51 () (tptp.member @t23 @t1)) % 0.52/0.72 (define @t52 () (tptp.member @t23 (tptp.intersection @t1 @t3))) % 0.52/0.72 (define @t53 () (not @t52)) % 0.52/0.72 (define @t54 () (@list @t23 @t1 @t3)) % 0.52/0.72 (define @t55 () (tptp.member @t23 @t3)) % 0.52/0.72 (define @t56 () (not @t55)) % 0.52/0.72 (define @t57 () (not @t51)) % 0.52/0.72 (define @t58 () (tptp.complement @t1)) % 0.52/0.72 (define @t59 () (tptp.member @t23 @t58)) % 0.52/0.72 (define @t60 () (tptp.f8 @t23 @t1)) % 0.52/0.72 (define @t61 () (tptp.domain_of @t1)) % 0.52/0.72 (define @t62 () (tptp.member @t23 @t61)) % 0.52/0.72 (define @t63 () (not @t62)) % 0.52/0.72 (define @t64 () (@var "Xp" $$unsorted)) % 0.52/0.72 (define @t65 () (not (tptp.member @t64 @t1))) % 0.52/0.72 (define @t66 () (not (tptp.ordered_pair_predicate @t64))) % 0.52/0.72 (define @t67 () (@list @t23 @t1 @t64)) % 0.52/0.72 (define @t68 () (tptp.member @t23 (tptp.cross_product @t1 @t3))) % 0.52/0.72 (define @t69 () (not @t68)) % 0.52/0.72 (define @t70 () (tptp.member @t48 @t1)) % 0.52/0.72 (define @t71 () (tptp.member @t47 @t3)) % 0.52/0.72 (define @t72 () (tptp.member @t23 (tptp.converse @t1))) % 0.52/0.72 (define @t73 () (not @t72)) % 0.52/0.72 (define @t74 () (tptp.member (tptp.ordered_pair @t47 @t48) @t1)) % 0.52/0.72 (define @t75 () (tptp.f9 @t23 @t1)) % 0.52/0.72 (define @t76 () (tptp.member @t23 (tptp.rotate_right @t1))) % 0.52/0.72 (define @t77 () (not @t76)) % 0.52/0.72 (define @t78 () (tptp.f10 @t23 @t1)) % 0.52/0.72 (define @t79 () (tptp.f11 @t23 @t1)) % 0.52/0.72 (define @t80 () (@var "W" $$unsorted)) % 0.52/0.72 (define @t81 () (not (= @t23 (tptp.ordered_pair @t9 (tptp.ordered_pair @t33 @t80))))) % 0.52/0.72 (define @t82 () (not (tptp.little_set @t80))) % 0.52/0.72 (define @t83 () (@list @t23 @t1 @t9 @t33 @t80)) % 0.52/0.72 (define @t84 () (tptp.f12 @t23 @t1)) % 0.52/0.72 (define @t85 () (tptp.member @t23 (tptp.flip_range_of @t1))) % 0.52/0.72 (define @t86 () (not @t85)) % 0.52/0.72 (define @t87 () (tptp.f13 @t23 @t1)) % 0.52/0.72 (define @t88 () (tptp.f14 @t23 @t1)) % 0.52/0.72 (define @t89 () (tptp.successor @t1)) % 0.52/0.72 (define @t90 () (tptp.f16 @t23 @t1)) % 0.52/0.72 (define @t91 () (tptp.member @t23 (tptp.sigma @t1))) % 0.52/0.72 (define @t92 () (not @t91)) % 0.52/0.72 (define @t93 () (@list @t9)) % 0.52/0.72 (define @t94 () (tptp.member @t9 @t3)) % 0.52/0.72 (define @t95 () (not (tptp.member @t9 @t1))) % 0.52/0.72 (define @t96 () (tptp.subset @t1 @t3)) % 0.52/0.72 (define @t97 () (not @t96)) % 0.52/0.72 (define @t98 () (@list @t1 @t3 @t9)) % 0.52/0.72 (define @t99 () (tptp.f17 @t1 @t3)) % 0.52/0.72 (define @t100 () (tptp.proper_subset @t1 @t3)) % 0.52/0.72 (define @t101 () (not @t100)) % 0.52/0.72 (define @t102 () (tptp.subset @t23 @t1)) % 0.52/0.72 (define @t103 () (tptp.member @t23 (tptp.powerset @t1))) % 0.52/0.72 (define @t104 () (tptp.relation @t23)) % 0.52/0.72 (define @t105 () (tptp.f18 @t23)) % 0.52/0.72 (define @t106 () (tptp.single_valued_set @t1)) % 0.52/0.72 (define @t107 () (forall (@list @t1 @t9 @t33 @t80) (or (not @t106) @t15 @t36 @t82 (not (tptp.member @t34 @t1)) (not (tptp.member (tptp.ordered_pair @t9 @t80) @t1)) (= @t33 @t80)))) % 0.52/0.72 (define @t108 () (tptp.f19 @t1)) % 0.52/0.72 (define @t109 () (tptp.f20 @t1)) % 0.52/0.72 (define @t110 () (tptp.f21 @t1)) % 0.52/0.72 (define @t111 () (@var "Xf" $$unsorted)) % 0.52/0.72 (define @t112 () (tptp.relation @t111)) % 0.52/0.72 (define @t113 () (tptp.function @t111)) % 0.52/0.72 (define @t114 () (not @t113)) % 0.52/0.72 (define @t115 () (@list @t111)) % 0.52/0.72 (define @t116 () (tptp.single_valued_set @t111)) % 0.52/0.72 (define @t117 () (tptp.f22 @t23 @t1 @t111)) % 0.52/0.72 (define @t118 () (tptp.image @t1 @t111)) % 0.52/0.72 (define @t119 () (tptp.member @t23 @t118)) % 0.52/0.72 (define @t120 () (not @t119)) % 0.52/0.72 (define @t121 () (@list @t23 @t1 @t111)) % 0.52/0.72 (define @t122 () (not @t2)) % 0.52/0.72 (define @t123 () (tptp.disjoint @t1 @t3)) % 0.52/0.72 (define @t124 () (tptp.f23 @t1 @t3)) % 0.52/0.72 (define @t125 () (tptp.f24 @t1)) % 0.52/0.72 (define @t126 () (= @t1 tptp.empty_set)) % 0.52/0.72 (define @t127 () (tptp.f26 @t1)) % 0.52/0.72 (define @t128 () (tptp.f27 @t23 @t1)) % 0.52/0.72 (define @t129 () (tptp.range_of @t1)) % 0.52/0.72 (define @t130 () (tptp.member @t23 @t129)) % 0.52/0.72 (define @t131 () (not @t130)) % 0.52/0.72 (define @t132 () (tptp.member @t23 tptp.identity_relation)) % 0.52/0.72 (define @t133 () (not @t132)) % 0.52/0.72 (define @t134 () (= @t48 @t47)) % 0.52/0.72 (define @t135 () (tptp.one_to_one_function @t111)) % 0.52/0.72 (define @t136 () (not @t135)) % 0.52/0.72 (define @t137 () (tptp.function (tptp.converse @t111))) % 0.52/0.72 (define @t138 () (tptp.f28 @t23 @t111 @t3)) % 0.52/0.72 (define @t139 () (tptp.apply @t111 @t3)) % 0.52/0.72 (define @t140 () (tptp.member @t23 @t139)) % 0.52/0.72 (define @t141 () (not @t140)) % 0.52/0.72 (define @t142 () (@list @t23 @t111 @t3)) % 0.52/0.72 (define @t143 () (@list @t111 @t1 @t3)) % 0.52/0.72 (define @t144 () (tptp.maps @t111 @t1 @t3)) % 0.52/0.72 (define @t145 () (not @t144)) % 0.52/0.72 (define @t146 () (= (tptp.domain_of @t111) @t1)) % 0.52/0.72 (define @t147 () (tptp.subset (tptp.range_of @t111) @t3)) % 0.52/0.72 (define @t148 () (@var "Xs" $$unsorted)) % 0.52/0.72 (define @t149 () (tptp.little_set @t148)) % 0.52/0.72 (define @t150 () (tptp.closed @t148 @t111)) % 0.52/0.72 (define @t151 () (not @t150)) % 0.52/0.72 (define @t152 () (@list @t148 @t111)) % 0.52/0.72 (define @t153 () (tptp.little_set @t111)) % 0.52/0.72 (define @t154 () (tptp.maps @t111 (tptp.cross_product @t148 @t148) @t148)) % 0.52/0.72 (define @t155 () (@var "Xg" $$unsorted)) % 0.52/0.72 (define @t156 () (tptp.f29 @t23 @t111 @t155)) % 0.52/0.72 (define @t157 () (tptp.member @t23 (tptp.compose @t111 @t155))) % 0.52/0.72 (define @t158 () (not @t157)) % 0.52/0.72 (define @t159 () (@list @t23 @t111 @t155)) % 0.52/0.72 (define @t160 () (tptp.f30 @t23 @t111 @t155)) % 0.52/0.72 (define @t161 () (tptp.f31 @t23 @t111 @t155)) % 0.52/0.72 (define @t162 () (@var "Xf1" $$unsorted)) % 0.52/0.72 (define @t163 () (@var "Xs1" $$unsorted)) % 0.52/0.72 (define @t164 () (tptp.closed @t163 @t162)) % 0.52/0.72 (define @t165 () (@var "Xf2" $$unsorted)) % 0.52/0.72 (define @t166 () (@var "Xs2" $$unsorted)) % 0.52/0.72 (define @t167 () (@var "Xh" $$unsorted)) % 0.52/0.72 (define @t168 () (tptp.homomorphism @t167 @t163 @t162 @t166 @t165)) % 0.52/0.72 (define @t169 () (not @t168)) % 0.52/0.72 (define @t170 () (@list @t167 @t163 @t162 @t166 @t165)) % 0.52/0.72 (define @t171 () (tptp.closed @t166 @t165)) % 0.52/0.72 (define @t172 () (tptp.maps @t167 @t163 @t166)) % 0.52/0.72 (define @t173 () (tptp.f32 @t167 @t163 @t162 @t166 @t165)) % 0.52/0.72 (define @t174 () (not @t172)) % 0.52/0.72 (define @t175 () (not @t171)) % 0.52/0.72 (define @t176 () (not @t164)) % 0.52/0.72 (define @t177 () (tptp.f33 @t167 @t163 @t162 @t166 @t165)) % 0.52/0.72 (define @t178 () (not (= @t18 @t34))) % 0.52/0.72 (define @t179 () (tptp.first @t18)) % 0.52/0.72 (define @t180 () (or @t122 @t25 (= @t179 @t1))) % 0.52/0.72 (define @t181 () (forall @t4 @t180)) % 0.52/0.72 (define @t182 () (tptp.second @t18)) % 0.52/0.72 (define @t183 () (or @t122 @t25 (= @t182 @t3))) % 0.52/0.72 (define @t184 () (forall @t4 @t183)) % 0.52/0.72 (define @t185 () (tptp.image (tptp.singleton_set @t3) @t111)) % 0.52/0.72 (define @t186 () (@list @t3 @t1)) % 0.52/0.72 (define @t187 () (tptp.compose @t3 @t1)) % 0.52/0.72 (define @t188 () (tptp.function tptp.a_function)) % 0.52/0.72 (define @t189 () (tptp.function tptp.another_function)) % 0.52/0.72 (define @t190 () (tptp.compose tptp.another_function tptp.a_function)) % 0.52/0.72 (define @t191 () (tptp.function @t190)) % 0.52/0.72 (define @t192 () (tptp.f20 @t190)) % 0.52/0.72 (define @t193 () (tptp.f19 @t190)) % 0.52/0.72 (define @t194 () (tptp.ordered_pair @t193 @t192)) % 0.52/0.72 (define @t195 () (@list @t194 tptp.another_function tptp.a_function)) % 0.52/0.72 (define @t196 () (@list @t190)) % 0.52/0.72 (define @t197 () (tptp.single_valued_set @t190)) % 0.52/0.72 (define @t198 () (not @t197)) % 0.52/0.72 (define @t199 () (tptp.relation @t190)) % 0.52/0.72 (define @t200 () (not @t199)) % 0.52/0.72 (define @t201 () (or @t191 @t200 @t198)) % 0.52/0.72 (define @t202 () (tptp.member @t194 @t190)) % 0.52/0.72 (define @t203 () (or @t197 @t202)) % 0.52/0.72 (define @t204 () (@list true false)) % 0.52/0.72 (define @t205 () (tptp.f30 @t194 tptp.another_function tptp.a_function)) % 0.52/0.72 (define @t206 () (tptp.f31 @t194 tptp.another_function tptp.a_function)) % 0.52/0.72 (define @t207 () (tptp.member (tptp.ordered_pair @t206 @t205) tptp.a_function)) % 0.52/0.72 (define @t208 () (not @t202)) % 0.52/0.72 (define @t209 () (or @t208 @t207)) % 0.52/0.72 (define @t210 () (@list false false)) % 0.52/0.72 (define @t211 () (tptp.f29 @t194 tptp.another_function tptp.a_function)) % 0.52/0.72 (define @t212 () (@list @t211 @t205)) % 0.52/0.72 (define @t213 () (tptp.little_set @t205)) % 0.52/0.72 (define @t214 () (or @t208 @t213)) % 0.52/0.72 (define @t215 () (tptp.little_set @t211)) % 0.52/0.72 (define @t216 () (or @t208 @t215)) % 0.52/0.72 (define @t217 () (tptp.ordered_pair @t211 @t205)) % 0.52/0.72 (define @t218 () (= @t205 (tptp.second @t217))) % 0.52/0.72 (define @t219 () (not @t213)) % 0.52/0.72 (define @t220 () (not @t215)) % 0.52/0.72 (define @t221 () (or @t220 @t219 @t218)) % 0.52/0.72 (define @t222 () (@list false false false)) % 0.52/0.72 (define @t223 () (= @t194 @t217)) % 0.52/0.72 (define @t224 () (or @t208 @t223)) % 0.52/0.72 (define @t225 () (tptp.second @t194)) % 0.52/0.72 (define @t226 () (@list @t193 @t192)) % 0.52/0.72 (define @t227 () (tptp.little_set @t192)) % 0.52/0.72 (define @t228 () (or @t197 @t227)) % 0.52/0.72 (define @t229 () (tptp.little_set @t193)) % 0.52/0.72 (define @t230 () (or @t197 @t229)) % 0.52/0.72 (define @t231 () (= @t192 @t225)) % 0.52/0.72 (define @t232 () (not @t227)) % 0.52/0.72 (define @t233 () (not @t229)) % 0.52/0.72 (define @t234 () (or @t233 @t232 @t231)) % 0.52/0.72 (define @t235 () (tptp.f21 @t190)) % 0.52/0.72 (define @t236 () (tptp.ordered_pair @t193 @t235)) % 0.52/0.72 (define @t237 () (tptp.f31 @t236 tptp.another_function tptp.a_function)) % 0.52/0.72 (define @t238 () (tptp.f29 @t236 tptp.another_function tptp.a_function)) % 0.52/0.72 (define @t239 () (tptp.member (tptp.ordered_pair @t238 @t237) tptp.another_function)) % 0.52/0.72 (define @t240 () (not @t239)) % 0.52/0.72 (define @t241 () (tptp.ordered_pair @t238 @t206)) % 0.52/0.72 (define @t242 () (tptp.member @t241 tptp.another_function)) % 0.52/0.72 (define @t243 () (not @t242)) % 0.52/0.72 (define @t244 () (tptp.little_set @t237)) % 0.52/0.72 (define @t245 () (not @t244)) % 0.52/0.72 (define @t246 () (tptp.little_set @t206)) % 0.52/0.72 (define @t247 () (not @t246)) % 0.52/0.72 (define @t248 () (tptp.little_set @t238)) % 0.52/0.72 (define @t249 () (not @t248)) % 0.52/0.72 (define @t250 () (tptp.single_valued_set tptp.another_function)) % 0.52/0.72 (define @t251 () (not @t250)) % 0.52/0.72 (define @t252 () (or @t251 @t249 @t247 @t245 @t243 @t240 (= @t206 @t237))) % 0.52/0.72 (define @t253 () (= @t237 @t206)) % 0.52/0.72 (define @t254 () (or @t251 @t249 @t247 @t245 @t243 @t240 @t253)) % 0.52/0.72 (define @t255 () (tptp.member (tptp.ordered_pair @t211 @t206) tptp.another_function)) % 0.52/0.72 (define @t256 () (or @t208 @t255)) % 0.52/0.72 (define @t257 () (= @t211 (tptp.first @t217))) % 0.52/0.72 (define @t258 () (or @t220 @t219 @t257)) % 0.52/0.72 (define @t259 () (tptp.first @t194)) % 0.52/0.72 (define @t260 () (= @t193 @t259)) % 0.52/0.72 (define @t261 () (or @t233 @t232 @t260)) % 0.52/0.72 (define @t262 () (@list @t193 @t235)) % 0.52/0.72 (define @t263 () (tptp.little_set @t235)) % 0.52/0.72 (define @t264 () (or @t197 @t263)) % 0.52/0.72 (define @t265 () (= @t193 (tptp.first @t236))) % 0.52/0.72 (define @t266 () (not @t263)) % 0.52/0.72 (define @t267 () (or @t233 @t266 @t265)) % 0.52/0.72 (define @t268 () (@list @t236 tptp.another_function tptp.a_function)) % 0.52/0.72 (define @t269 () (tptp.member @t236 @t190)) % 0.52/0.72 (define @t270 () (or @t197 @t269)) % 0.52/0.72 (define @t271 () (tptp.f30 @t236 tptp.another_function tptp.a_function)) % 0.52/0.72 (define @t272 () (tptp.ordered_pair @t238 @t271)) % 0.52/0.72 (define @t273 () (= @t236 @t272)) % 0.52/0.72 (define @t274 () (not @t269)) % 0.52/0.72 (define @t275 () (or @t274 @t273)) % 0.52/0.72 (define @t276 () (tptp.first @t272)) % 0.52/0.72 (define @t277 () (@list @t238 @t271)) % 0.52/0.72 (define @t278 () (tptp.little_set @t271)) % 0.52/0.72 (define @t279 () (or @t274 @t278)) % 0.52/0.72 (define @t280 () (or @t274 @t248)) % 0.52/0.72 (define @t281 () (= @t238 @t276)) % 0.52/0.72 (define @t282 () (not @t278)) % 0.52/0.72 (define @t283 () (or @t249 @t282 @t281)) % 0.52/0.72 (define @t284 () (or @t274 @t239)) % 0.52/0.72 (define @t285 () (or @t208 @t246)) % 0.52/0.72 (define @t286 () (or @t274 @t244)) % 0.52/0.72 (define @t287 () (not @t189)) % 0.52/0.72 (define @t288 () (or @t287 @t250)) % 0.52/0.72 (define @t289 () (tptp.ordered_pair @t237 @t192)) % 0.52/0.72 (define @t290 () (tptp.member @t289 tptp.a_function)) % 0.52/0.72 (define @t291 () (not (= @t192 @t235))) % 0.52/0.72 (define @t292 () (or @t197 @t291)) % 0.52/0.72 (define @t293 () (= @t235 (tptp.second @t236))) % 0.52/0.72 (define @t294 () (or @t233 @t266 @t293)) % 0.52/0.72 (define @t295 () (tptp.second @t272)) % 0.52/0.72 (define @t296 () (= @t271 @t295)) % 0.52/0.72 (define @t297 () (or @t249 @t282 @t296)) % 0.52/0.72 (define @t298 () (= @t192 @t271)) % 0.52/0.72 (define @t299 () (tptp.member (tptp.ordered_pair @t237 @t271) tptp.a_function)) % 0.52/0.72 (define @t300 () (or @t274 @t299)) % 0.52/0.72 (define @t301 () (tptp.single_valued_set tptp.a_function)) % 0.52/0.72 (define @t302 () (not @t188)) % 0.52/0.72 (define @t303 () (or @t302 @t301)) % 0.52/0.72 (define @t304 () (not @t299)) % 0.52/0.72 (define @t305 () (not @t290)) % 0.52/0.72 (define @t306 () (not @t301)) % 0.52/0.72 (define @t307 () (or @t306 @t245 @t232 @t282 @t305 @t304 @t298)) % 0.52/0.72 (assume @p1 (forall @t4 (or (not (tptp.member @t1 @t3)) @t2))) % 0.52/0.72 (assume @p2 (forall @t4 (or (tptp.little_set @t6) @t5))) % 0.52/0.72 (assume @p3 (forall @t4 (or @t8 @t7 @t5))) % 0.52/0.72 (assume @p4 (forall @t4 (or (not @t8) (not @t7) @t5))) % 0.52/0.72 (assume @p5 (forall @t14 (or (not @t13) @t11 @t10))) % 0.52/0.72 (assume @p6 (forall @t14 (or @t13 @t15 (not @t11)))) % 0.52/0.72 (assume @p7 (forall @t14 (or @t13 @t15 (not @t10)))) % 0.52/0.72 (assume @p8 (forall @t4 (tptp.little_set @t12))) % 0.52/0.72 (assume @p9 (forall @t17 (= @t16 (tptp.non_ordered_pair @t1 @t1)))) % 0.52/0.72 (assume @p10 (forall @t4 (= @t18 (tptp.non_ordered_pair @t16 @t12)))) % 0.52/0.72 (assume @p11 (forall @t17 (or @t21 (tptp.little_set @t19)))) % 0.52/0.72 (assume @p12 (forall @t17 (or @t21 (tptp.little_set @t22)))) % 0.52/0.72 (assume @p13 (forall @t17 (or @t21 (= @t1 (tptp.ordered_pair @t19 @t22))))) % 0.52/0.72 (assume @p14 (forall @t26 (or @t20 @t25 @t24 (not (= @t1 (tptp.ordered_pair @t3 @t23)))))) % 0.52/0.72 (assume @p15 (forall @t31 (or @t30 (tptp.little_set @t27)))) % 0.52/0.72 (assume @p16 (forall @t31 (or @t30 (tptp.little_set @t32)))) % 0.52/0.72 (assume @p17 (forall @t31 (or @t30 (= @t1 (tptp.ordered_pair @t27 @t32))))) % 0.52/0.72 (assume @p18 (forall @t31 (or @t30 (tptp.member @t23 @t27)))) % 0.52/0.72 (assume @p19 (forall @t37 (or @t29 @t15 @t36 @t35 (not (tptp.member @t23 @t9))))) % 0.52/0.72 (assume @p20 (forall @t31 (or @t41 (tptp.little_set @t38)))) % 0.52/0.72 (assume @p21 (forall @t31 (or @t41 (tptp.little_set @t42)))) % 0.52/0.72 (assume @p22 (forall @t31 (or @t41 (= @t1 (tptp.ordered_pair @t38 @t42))))) % 0.52/0.72 (assume @p23 (forall @t31 (or @t41 (tptp.member @t23 @t42)))) % 0.52/0.72 (assume @p24 (forall @t37 (or @t40 @t15 @t36 @t35 (not (tptp.member @t23 @t33))))) % 0.52/0.72 (assume @p25 (forall @t46 (or @t45 @t43))) % 0.52/0.72 (assume @p26 (forall @t46 (or @t45 @t49))) % 0.52/0.72 (assume @p27 (forall @t46 (or @t44 @t24 @t50 (not @t49)))) % 0.52/0.72 (assume @p28 (forall @t54 (or @t53 @t51))) % 0.52/0.72 (assume @p29 (forall @t54 (or @t53 @t55))) % 0.52/0.72 (assume @p30 (forall @t54 (or @t52 @t57 @t56))) % 0.52/0.72 (assume @p31 (forall @t31 (or (not @t59) @t57))) % 0.52/0.72 (assume @p32 (forall @t31 (or @t59 @t24 @t51))) % 0.52/0.72 (assume @p33 (forall @t4 (= (tptp.union @t1 @t3) (tptp.complement (tptp.intersection @t58 (tptp.complement @t3)))))) % 0.52/0.72 (assume @p34 (forall @t31 (or @t63 (tptp.ordered_pair_predicate @t60)))) % 0.52/0.72 (assume @p35 (forall @t31 (or @t63 (tptp.member @t60 @t1)))) % 0.52/0.72 (assume @p36 (forall @t31 (or @t63 (= @t23 (tptp.first @t60))))) % 0.52/0.72 (assume @p37 (forall @t67 (or @t62 @t24 @t66 @t65 (not (= @t23 (tptp.first @t64)))))) % 0.52/0.72 (assume @p38 (forall @t54 (or @t69 @t43))) % 0.52/0.72 (assume @p39 (forall @t54 (or @t69 @t70))) % 0.52/0.72 (assume @p40 (forall @t54 (or @t69 @t71))) % 0.52/0.72 (assume @p41 (forall @t54 (or @t68 @t24 @t50 (not @t70) (not @t71)))) % 0.52/0.72 (assume @p42 (forall @t31 (or @t73 @t43))) % 0.52/0.72 (assume @p43 (forall @t31 (or @t73 @t74))) % 0.52/0.72 (assume @p44 (forall @t31 (or @t72 @t24 @t50 (not @t74)))) % 0.52/0.72 (assume @p45 (forall @t31 (or @t77 (tptp.little_set @t75)))) % 0.52/0.72 (assume @p46 (forall @t31 (or @t77 (tptp.little_set @t78)))) % 0.52/0.72 (assume @p47 (forall @t31 (or @t77 (tptp.little_set @t79)))) % 0.52/0.72 (assume @p48 (forall @t31 (or @t77 (= @t23 (tptp.ordered_pair @t75 (tptp.ordered_pair @t78 @t79)))))) % 0.52/0.72 (assume @p49 (forall @t31 (or @t77 (tptp.member (tptp.ordered_pair @t78 (tptp.ordered_pair @t79 @t75)) @t1)))) % 0.52/0.72 (assume @p50 (forall @t83 (or @t76 @t24 @t15 @t36 @t82 @t81 (not (tptp.member (tptp.ordered_pair @t33 (tptp.ordered_pair @t80 @t9)) @t1))))) % 0.52/0.72 (assume @p51 (forall @t31 (or @t86 (tptp.little_set @t84)))) % 0.52/0.72 (assume @p52 (forall @t31 (or @t86 (tptp.little_set @t87)))) % 0.52/0.72 (assume @p53 (forall @t31 (or @t86 (tptp.little_set @t88)))) % 0.52/0.72 (assume @p54 (forall @t31 (or @t86 (= @t23 (tptp.ordered_pair @t84 (tptp.ordered_pair @t87 @t88)))))) % 0.52/0.72 (assume @p55 (forall @t31 (or @t86 (tptp.member (tptp.ordered_pair @t84 (tptp.ordered_pair @t88 @t87)) @t1)))) % 0.52/0.72 (assume @p56 (forall @t83 (or @t85 @t24 @t15 @t36 @t82 @t81 (not (tptp.member (tptp.ordered_pair @t9 (tptp.ordered_pair @t80 @t33)) @t1))))) % 0.52/0.72 (assume @p57 (forall @t17 (= @t89 (tptp.union @t1 @t16)))) % 0.52/0.72 (assume @p58 (forall @t46 (not (tptp.member @t23 tptp.empty_set)))) % 0.52/0.72 (assume @p59 (forall @t46 (or (tptp.member @t23 tptp.universal_set) @t24))) % 0.52/0.72 (assume @p60 (tptp.little_set tptp.infinity)) % 0.52/0.72 (assume @p61 (tptp.member tptp.empty_set tptp.infinity)) % 0.52/0.72 (assume @p62 (forall @t17 (or (not (tptp.member @t1 tptp.infinity)) (tptp.member @t89 tptp.infinity)))) % 0.52/0.72 (assume @p63 (forall @t31 (or @t92 (tptp.member @t90 @t1)))) % 0.52/0.72 (assume @p64 (forall @t31 (or @t92 (tptp.member @t23 @t90)))) % 0.52/0.72 (assume @p65 (forall @t54 (or @t91 (not (tptp.member @t3 @t1)) @t56))) % 0.52/0.72 (assume @p66 (forall @t93 (or @t15 (tptp.little_set (tptp.sigma @t9))))) % 0.52/0.72 (assume @p67 (forall @t98 (or @t97 @t95 @t94))) % 0.52/0.72 (assume @p68 (forall @t4 (or @t96 (tptp.member @t99 @t1)))) % 0.52/0.72 (assume @p69 (forall @t4 (or @t96 (not (tptp.member @t99 @t3))))) % 0.52/0.72 (assume @p70 (forall @t4 (or @t101 @t96))) % 0.52/0.72 (assume @p71 (forall @t4 (or @t101 (not @t5)))) % 0.52/0.72 (assume @p72 (forall @t4 (or @t100 @t97 @t5))) % 0.52/0.72 (assume @p73 (forall @t31 (or (not @t103) @t102))) % 0.52/0.72 (assume @p74 (forall @t31 (or @t103 @t24 (not @t102)))) % 0.52/0.72 (assume @p75 (forall @t93 (or @t15 (tptp.little_set (tptp.powerset @t9))))) % 0.52/0.72 (assume @p76 (forall @t31 (or (not @t104) (not (tptp.member @t1 @t23)) @t20))) % 0.52/0.72 (assume @p77 (forall @t46 (or @t104 (tptp.member @t105 @t23)))) % 0.52/0.72 (assume @p78 (forall @t46 (or @t104 (not (tptp.ordered_pair_predicate @t105))))) % 0.52/0.72 (assume @p79 @t107) % 0.52/0.72 (assume @p80 (forall @t17 (or @t106 (tptp.little_set @t108)))) % 0.52/0.72 (assume @p81 (forall @t17 (or @t106 (tptp.little_set @t109)))) % 0.52/0.72 (assume @p82 (forall @t17 (or @t106 (tptp.little_set @t110)))) % 0.52/0.72 (assume @p83 (forall @t17 (or @t106 (tptp.member (tptp.ordered_pair @t108 @t109) @t1)))) % 0.52/0.72 (assume @p84 (forall @t17 (or @t106 (tptp.member (tptp.ordered_pair @t108 @t110) @t1)))) % 0.52/0.72 (assume @p85 (forall @t17 (or @t106 (not (= @t109 @t110))))) % 0.52/0.72 (assume @p86 (forall @t115 (or @t114 @t112))) % 0.52/0.72 (assume @p87 (forall @t115 (or @t114 @t116))) % 0.52/0.72 (assume @p88 (forall @t115 (or @t113 (not @t112) (not @t116)))) % 0.52/0.72 (assume @p89 (forall @t121 (or @t120 (tptp.ordered_pair_predicate @t117)))) % 0.52/0.72 (assume @p90 (forall @t121 (or @t120 (tptp.member @t117 @t111)))) % 0.52/0.72 (assume @p91 (forall @t121 (or @t120 (tptp.member (tptp.first @t117) @t1)))) % 0.52/0.72 (assume @p92 (forall @t121 (or @t120 (= (tptp.second @t117) @t23)))) % 0.52/0.72 (assume @p93 (forall (@list @t23 @t1 @t111 @t3) (or @t119 @t24 (not (tptp.ordered_pair_predicate @t3)) (not (tptp.member @t3 @t111)) (not (tptp.member (tptp.first @t3) @t1)) (not (= (tptp.second @t3) @t23))))) % 0.52/0.72 (assume @p94 (forall (@list @t1 @t111) (or @t122 @t114 (tptp.little_set @t118)))) % 0.52/0.72 (assume @p95 (forall @t98 (or (not @t123) @t95 (not @t94)))) % 0.52/0.72 (assume @p96 (forall @t4 (or @t123 (tptp.member @t124 @t1)))) % 0.52/0.72 (assume @p97 (forall @t4 (or @t123 (tptp.member @t124 @t3)))) % 0.52/0.72 (assume @p98 (forall @t17 (or @t126 (tptp.member @t125 @t1)))) % 0.52/0.72 (assume @p99 (forall @t17 (or @t126 (tptp.disjoint @t125 @t1)))) % 0.52/0.72 (assume @p100 (tptp.function tptp.f25)) % 0.52/0.72 (assume @p101 (forall @t17 (or @t122 @t126 (tptp.member @t127 @t1)))) % 0.52/0.72 (assume @p102 (forall @t17 (or @t122 @t126 (tptp.member (tptp.ordered_pair @t1 @t127) tptp.f25)))) % 0.52/0.72 (assume @p103 (forall @t31 (or @t131 (tptp.ordered_pair_predicate @t128)))) % 0.52/0.72 (assume @p104 (forall @t31 (or @t131 (tptp.member @t128 @t1)))) % 0.52/0.72 (assume @p105 (forall @t31 (or @t131 (= @t23 (tptp.second @t128))))) % 0.52/0.72 (assume @p106 (forall @t67 (or @t130 @t24 @t66 @t65 (not (= @t23 (tptp.second @t64)))))) % 0.52/0.72 (assume @p107 (forall @t46 (or @t133 @t43))) % 0.52/0.72 (assume @p108 (forall @t46 (or @t133 @t134))) % 0.52/0.72 (assume @p109 (forall @t46 (or @t132 @t24 @t50 (not @t134)))) % 0.52/0.72 (assume @p110 (forall @t4 (= (tptp.restrict @t1 @t3) (tptp.intersection @t1 (tptp.cross_product @t3 tptp.universal_set))))) % 0.52/0.72 (assume @p111 (forall @t115 (or @t136 @t113))) % 0.52/0.72 (assume @p112 (forall @t115 (or @t136 @t137))) % 0.52/0.72 (assume @p113 (forall @t115 (or @t135 @t114 (not @t137)))) % 0.52/0.72 (assume @p114 (forall @t142 (or @t141 (tptp.ordered_pair_predicate @t138)))) % 0.52/0.72 (assume @p115 (forall @t142 (or @t141 (tptp.member @t138 @t111)))) % 0.52/0.72 (assume @p116 (forall @t142 (or @t141 (= (tptp.first @t138) @t3)))) % 0.52/0.72 (assume @p117 (forall @t142 (or @t141 (tptp.member @t23 (tptp.second @t138))))) % 0.52/0.72 (assume @p118 (forall (@list @t23 @t111 @t3 @t80) (or @t140 (not (tptp.ordered_pair_predicate @t80)) (not (tptp.member @t80 @t111)) (not (= (tptp.first @t80) @t3)) (not (tptp.member @t23 (tptp.second @t80)))))) % 0.52/0.72 (assume @p119 (forall @t143 (= (tptp.apply_to_two_arguments @t111 @t1 @t3) (tptp.apply @t111 @t18)))) % 0.52/0.72 (assume @p120 (forall @t143 (or @t145 @t113))) % 0.52/0.72 (assume @p121 (forall @t143 (or @t145 @t146))) % 0.52/0.72 (assume @p122 (forall @t143 (or @t145 @t147))) % 0.52/0.72 (assume @p123 (forall @t143 (or @t144 @t114 (not @t146) (not @t147)))) % 0.52/0.72 (assume @p124 (forall @t152 (or @t151 @t149))) % 0.52/0.72 (assume @p125 (forall @t152 (or @t151 @t153))) % 0.52/0.72 (assume @p126 (forall @t152 (or @t151 @t154))) % 0.52/0.72 (assume @p127 (forall @t152 (or @t150 (not @t149) (not @t153) (not @t154)))) % 0.52/0.72 (assume @p128 (forall @t159 (or @t158 (tptp.little_set @t156)))) % 0.52/0.72 (assume @p129 (forall @t159 (or @t158 (tptp.little_set @t160)))) % 0.52/0.72 (assume @p130 (forall @t159 (or @t158 (tptp.little_set @t161)))) % 0.52/0.72 (assume @p131 (forall @t159 (or @t158 (= @t23 (tptp.ordered_pair @t156 @t160))))) % 0.52/0.72 (assume @p132 (forall @t159 (or @t158 (tptp.member (tptp.ordered_pair @t156 @t161) @t111)))) % 0.52/0.72 (assume @p133 (forall @t159 (or @t158 (tptp.member (tptp.ordered_pair @t161 @t160) @t155)))) % 0.52/0.72 (assume @p134 (forall (@list @t23 @t111 @t155 @t1 @t3 @t80) (or @t157 @t24 @t122 @t25 @t82 (not (= @t23 @t18)) (not (tptp.member (tptp.ordered_pair @t1 @t80) @t111)) (not (tptp.member (tptp.ordered_pair @t80 @t3) @t155))))) % 0.52/0.72 (assume @p135 (forall @t170 (or @t169 @t164))) % 0.52/0.72 (assume @p136 (forall @t170 (or @t169 @t171))) % 0.52/0.72 (assume @p137 (forall @t170 (or @t169 @t172))) % 0.52/0.72 (assume @p138 (forall (@list @t167 @t163 @t162 @t166 @t165 @t1 @t3) (or @t169 (not (tptp.member @t1 @t163)) (not (tptp.member @t3 @t163)) (= (tptp.apply @t167 (tptp.apply_to_two_arguments @t162 @t1 @t3)) (tptp.apply_to_two_arguments @t165 (tptp.apply @t167 @t1) (tptp.apply @t167 @t3)))))) % 0.52/0.72 (assume @p139 (forall @t170 (or @t168 @t176 @t175 @t174 (tptp.member @t173 @t163)))) % 0.52/0.72 (assume @p140 (forall @t170 (or @t168 @t176 @t175 @t174 (tptp.member @t177 @t163)))) % 0.52/0.72 (assume @p141 (forall @t170 (or @t168 @t176 @t175 @t174 (not (= (tptp.apply @t167 (tptp.apply_to_two_arguments @t162 @t173 @t177)) (tptp.apply_to_two_arguments @t165 (tptp.apply @t167 @t173) (tptp.apply @t167 @t177))))))) % 0.52/0.72 (assume @p142 (forall (@list @t1 @t9 @t3 @t33) (or @t122 @t15 @t178 (= @t1 @t9)))) % 0.52/0.72 (assume @p143 (forall @t26 (or @t122 @t25 (not (= (tptp.non_ordered_pair @t23 @t1) (tptp.non_ordered_pair @t23 @t3))) @t5))) % 0.52/0.72 (assume @p144 (forall (@list @t1 @t3 @t9 @t33) (or @t122 @t25 @t15 @t36 @t178 (= @t3 @t33)))) % 0.52/0.72 (assume @p145 (forall @t4 (or @t97 (not (tptp.subset @t3 @t1)) @t5))) % 0.52/0.72 (assume @p146 @t181) % 0.52/0.72 (assume @p147 @t184) % 0.52/0.72 (assume @p148 (forall @t17 (or @t21 (tptp.little_set @t28)))) % 0.52/0.72 (assume @p149 (forall @t17 (or @t21 (tptp.little_set @t39)))) % 0.52/0.72 (assume @p150 (forall @t17 (or @t122 (tptp.member @t1 @t16)))) % 0.52/0.72 (assume @p151 (forall @t4 (tptp.little_set @t18))) % 0.52/0.72 (assume @p152 (forall @t17 (or @t21 @t2))) % 0.52/0.72 (assume @p153 (forall @t26 (or @t97 (not (tptp.subset @t3 @t23)) (tptp.subset @t1 @t23)))) % 0.52/0.72 (assume @p154 (forall (@list @t111 @t3) (tptp.subset @t139 (tptp.sigma @t185)))) % 0.52/0.72 (assume @p155 (forall (@list @t3 @t111) (tptp.subset @t185 @t139))) % 0.52/0.72 (assume @p156 (forall @t186 (or (not (tptp.function @t3)) (tptp.little_set (tptp.apply @t3 @t1))))) % 0.52/0.72 (assume @p157 (forall @t186 (tptp.relation @t187))) % 0.52/0.72 (assume @p158 (forall @t186 (tptp.subset (tptp.range_of @t187) (tptp.range_of @t3)))) % 0.52/0.72 (assume @p159 (forall @t4 (or (not (tptp.subset @t129 (tptp.domain_of @t3))) (= @t61 (tptp.domain_of @t187))))) % 0.52/0.72 (assume @p160 @t188) % 0.52/0.72 (assume @p161 @t189) % 0.52/0.72 (assume @p162 (not @t191)) % 0.52/0.72 (step @p163 :rule evaluate :args ((= false true))) % 0.52/0.72 (step @p164 :rule instantiate :premises (@p133) :args (@t195)) % 0.52/0.72 (step @p165 :rule instantiate :premises (@p83) :args (@t196)) % 0.52/0.72 (step @p166 :rule instantiate :premises (@p88) :args (@t196)) % 0.52/0.72 (step @p167 :rule instantiate :premises (@p157) :args ((@list tptp.another_function tptp.a_function))) % 0.52/0.72 (step @p168 :rule cnf_or_pos :args (@t201)) % 0.52/0.72 (step @p169 :rule reordering :premises (@p168) :args ((or @t191 @t200 @t198 (not @t201)))) % 0.52/0.72 (step @p170 :rule chain_m_resolution :premises (@p169 @p162 @p167 @p166) :args (@t198 (@list true false false) (@list @t191 @t199 @t201))) % 0.52/0.72 (step @p171 :rule cnf_or_pos :args (@t203)) % 0.52/0.72 (step @p172 :rule reordering :premises (@p171) :args ((or @t197 @t202 (not @t203)))) % 0.52/0.72 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p165) :args (@t202 @t204 (@list @t197 @t203))) % 0.52/0.72 (step @p174 :rule cnf_or_pos :args (@t209)) % 0.52/0.72 (step @p175 :rule reordering :premises (@p174) :args ((or @t208 @t207 (not @t209)))) % 0.52/0.72 (step @p176 :rule chain_m_resolution :premises (@p175 @p173 @p164) :args (@t207 @t210 (@list @t202 @t209))) % 0.52/0.72 (step @p177 :rule true_intro :premises (@p176)) % 0.52/0.72 (step @p178 :rule refl :args (tptp.a_function)) % 0.52/0.72 (step @p179 :rule eq-symm :args (@t182 @t3)) % 0.52/0.72 (step @p180 :rule refl :args (@t25)) % 0.52/0.72 (step @p181 :rule refl :args (@t122)) % 0.52/0.72 (step @p182 :rule nary_cong :premises (@p181 @p180 @p179) :args (@t183)) % 0.52/0.72 (step @p183 :rule cong :premises (@p182) :args (@t184)) % 0.52/0.72 (step @p184 :rule eq_resolve :premises (@p147 @p183)) % 0.52/0.72 (step @p185 :rule instantiate :premises (@p184) :args (@t212)) % 0.52/0.72 (step @p186 :rule instantiate :premises (@p129) :args (@t195)) % 0.52/0.72 (step @p187 :rule cnf_or_pos :args (@t214)) % 0.52/0.72 (step @p188 :rule reordering :premises (@p187) :args ((or @t208 @t213 (not @t214)))) % 0.52/0.72 (step @p189 :rule chain_m_resolution :premises (@p188 @p173 @p186) :args (@t213 @t210 (@list @t202 @t214))) % 0.52/0.72 (step @p190 :rule instantiate :premises (@p128) :args (@t195)) % 0.52/0.72 (step @p191 :rule cnf_or_pos :args (@t216)) % 0.52/0.72 (step @p192 :rule reordering :premises (@p191) :args ((or @t208 @t215 (not @t216)))) % 0.52/0.72 (step @p193 :rule chain_m_resolution :premises (@p192 @p173 @p190) :args (@t215 @t210 (@list @t202 @t216))) % 0.52/0.72 (step @p194 :rule cnf_or_pos :args (@t221)) % 0.52/0.72 (step @p195 :rule reordering :premises (@p194) :args ((or @t220 @t219 @t218 (not @t221)))) % 0.52/0.72 (step @p196 :rule chain_m_resolution :premises (@p195 @p193 @p189 @p185) :args (@t218 @t222 (@list @t215 @t213 @t221))) % 0.52/0.72 (step @p197 :rule symm :premises (@p196)) % 0.52/0.72 (step @p198 :rule instantiate :premises (@p131) :args (@t195)) % 0.52/0.72 (step @p199 :rule cnf_or_pos :args (@t224)) % 0.52/0.72 (step @p200 :rule reordering :premises (@p199) :args ((or @t208 @t223 (not @t224)))) % 0.52/0.72 (step @p201 :rule chain_m_resolution :premises (@p200 @p173 @p198) :args (@t223 @t210 (@list @t202 @t224))) % 0.52/0.72 (step @p202 :rule cong :premises (@p201) :args (@t225)) % 0.52/0.72 (step @p203 :rule instantiate :premises (@p184) :args (@t226)) % 0.52/0.72 (step @p204 :rule instantiate :premises (@p81) :args (@t196)) % 0.52/0.72 (step @p205 :rule cnf_or_pos :args (@t228)) % 0.52/0.72 (step @p206 :rule reordering :premises (@p205) :args ((or @t197 @t227 (not @t228)))) % 0.52/0.72 (step @p207 :rule chain_m_resolution :premises (@p206 @p170 @p204) :args (@t227 @t204 (@list @t197 @t228))) % 0.52/0.72 (step @p208 :rule instantiate :premises (@p80) :args (@t196)) % 0.52/0.72 (step @p209 :rule cnf_or_pos :args (@t230)) % 0.52/0.72 (step @p210 :rule reordering :premises (@p209) :args ((or @t197 @t229 (not @t230)))) % 0.52/0.72 (step @p211 :rule chain_m_resolution :premises (@p210 @p170 @p208) :args (@t229 @t204 (@list @t197 @t230))) % 0.52/0.72 (step @p212 :rule cnf_or_pos :args (@t234)) % 0.52/0.72 (step @p213 :rule reordering :premises (@p212) :args ((or @t233 @t232 @t231 (not @t234)))) % 0.52/0.72 (step @p214 :rule chain_m_resolution :premises (@p213 @p211 @p207 @p203) :args (@t231 @t222 (@list @t229 @t227 @t234))) % 0.52/0.72 (step @p215 :rule trans :premises (@p214 @p202 @p197)) % 0.52/0.72 (step @p216 :rule eq-symm :args (@t206 @t237)) % 0.52/0.72 (step @p217 :rule refl :args (@t240)) % 0.52/0.72 (step @p218 :rule refl :args (@t243)) % 0.52/0.72 (step @p219 :rule refl :args (@t245)) % 0.52/0.72 (step @p220 :rule refl :args (@t247)) % 0.52/0.72 (step @p221 :rule refl :args (@t249)) % 0.52/0.72 (step @p222 :rule refl :args (@t251)) % 0.52/0.72 (step @p223 :rule nary_cong :premises (@p222 @p221 @p220 @p219 @p218 @p217 @p216) :args (@t252)) % 0.52/0.72 (step @p224 :rule refl :args (@t107)) % 0.52/0.72 (step @p225 :rule cong :premises (@p224 @p223) :args ((=> @t107 @t252))) % 0.52/0.72 (assume-push @p349 @t107) % 0.52/0.72 (step @p227 :rule instantiate :premises (@p79) :args ((@list tptp.another_function @t238 @t206 @t237))) % 0.52/0.72 (step-pop @p350 :rule scope :premises (@p227)) % 0.52/0.72 (step @p228 :rule process_scope :premises (@p350) :args (@t252)) % 0.52/0.72 (step @p230 :rule eq_resolve :premises (@p228 @p225)) % 0.52/0.72 (step @p231 :rule implies_elim :premises (@p230)) % 0.52/0.72 (step @p232 :rule chain_m_resolution :premises (@p231 @p79) :args (@t254 (@list false) (@list @t107))) % 0.52/0.72 (step @p233 :rule instantiate :premises (@p132) :args (@t195)) % 0.52/0.72 (step @p234 :rule cnf_or_pos :args (@t256)) % 0.52/0.72 (step @p235 :rule reordering :premises (@p234) :args ((or @t208 @t255 (not @t256)))) % 0.52/0.72 (step @p236 :rule chain_m_resolution :premises (@p235 @p173 @p233) :args (@t255 @t210 (@list @t202 @t256))) % 0.52/0.72 (step @p237 :rule true_intro :premises (@p236)) % 0.52/0.72 (step @p238 :rule refl :args (tptp.another_function)) % 0.52/0.72 (step @p239 :rule refl :args (@t206)) % 0.52/0.72 (step @p240 :rule eq-symm :args (@t179 @t1)) % 0.52/0.72 (step @p241 :rule nary_cong :premises (@p181 @p180 @p240) :args (@t180)) % 0.52/0.72 (step @p242 :rule cong :premises (@p241) :args (@t181)) % 0.52/0.72 (step @p243 :rule eq_resolve :premises (@p146 @p242)) % 0.52/0.72 (step @p244 :rule instantiate :premises (@p243) :args (@t212)) % 0.52/0.72 (step @p245 :rule cnf_or_pos :args (@t258)) % 0.52/0.72 (step @p246 :rule reordering :premises (@p245) :args ((or @t220 @t219 @t257 (not @t258)))) % 0.52/0.72 (step @p247 :rule chain_m_resolution :premises (@p246 @p193 @p189 @p244) :args (@t257 @t222 (@list @t215 @t213 @t258))) % 0.52/0.72 (step @p248 :rule symm :premises (@p247)) % 0.52/0.72 (step @p249 :rule cong :premises (@p201) :args (@t259)) % 0.52/0.72 (step @p250 :rule instantiate :premises (@p243) :args (@t226)) % 0.52/0.72 (step @p251 :rule cnf_or_pos :args (@t261)) % 0.52/0.72 (step @p252 :rule reordering :premises (@p251) :args ((or @t233 @t232 @t260 (not @t261)))) % 0.52/0.72 (step @p253 :rule chain_m_resolution :premises (@p252 @p211 @p207 @p250) :args (@t260 @t222 (@list @t229 @t227 @t261))) % 0.52/0.72 (step @p254 :rule trans :premises (@p253 @p249 @p248)) % 0.52/0.72 (step @p255 :rule instantiate :premises (@p243) :args (@t262)) % 0.52/0.72 (step @p256 :rule instantiate :premises (@p82) :args (@t196)) % 0.52/0.72 (step @p257 :rule cnf_or_pos :args (@t264)) % 0.52/0.72 (step @p258 :rule reordering :premises (@p257) :args ((or @t197 @t263 (not @t264)))) % 0.52/0.72 (step @p259 :rule chain_m_resolution :premises (@p258 @p170 @p256) :args (@t263 @t204 (@list @t197 @t264))) % 0.52/0.72 (step @p260 :rule cnf_or_pos :args (@t267)) % 0.52/0.72 (step @p261 :rule reordering :premises (@p260) :args ((or @t233 @t266 @t265 (not @t267)))) % 0.52/0.72 (step @p262 :rule chain_m_resolution :premises (@p261 @p211 @p259 @p255) :args (@t265 @t222 (@list @t229 @t263 @t267))) % 0.52/0.72 (step @p263 :rule symm :premises (@p262)) % 0.52/0.72 (step @p264 :rule instantiate :premises (@p131) :args (@t268)) % 0.52/0.72 (step @p265 :rule instantiate :premises (@p84) :args (@t196)) % 0.52/0.72 (step @p266 :rule cnf_or_pos :args (@t270)) % 0.52/0.72 (step @p267 :rule reordering :premises (@p266) :args ((or @t197 @t269 (not @t270)))) % 0.52/0.72 (step @p268 :rule chain_m_resolution :premises (@p267 @p170 @p265) :args (@t269 @t204 (@list @t197 @t270))) % 0.52/0.72 (step @p269 :rule cnf_or_pos :args (@t275)) % 0.52/0.72 (step @p270 :rule reordering :premises (@p269) :args ((or @t274 @t273 (not @t275)))) % 0.52/0.72 (step @p271 :rule chain_m_resolution :premises (@p270 @p268 @p264) :args (@t273 @t210 (@list @t269 @t275))) % 0.52/0.72 (step @p272 :rule symm :premises (@p271)) % 0.52/0.72 (step @p273 :rule cong :premises (@p272) :args (@t276)) % 0.52/0.72 (step @p274 :rule instantiate :premises (@p243) :args (@t277)) % 0.52/0.72 (step @p275 :rule instantiate :premises (@p129) :args (@t268)) % 0.52/0.72 (step @p276 :rule cnf_or_pos :args (@t279)) % 0.52/0.72 (step @p277 :rule reordering :premises (@p276) :args ((or @t274 @t278 (not @t279)))) % 0.52/0.72 (step @p278 :rule chain_m_resolution :premises (@p277 @p268 @p275) :args (@t278 @t210 (@list @t269 @t279))) % 0.52/0.72 (step @p279 :rule instantiate :premises (@p128) :args (@t268)) % 0.52/0.72 (step @p280 :rule cnf_or_pos :args (@t280)) % 0.52/0.72 (step @p281 :rule reordering :premises (@p280) :args ((or @t274 @t248 (not @t280)))) % 0.52/0.72 (step @p282 :rule chain_m_resolution :premises (@p281 @p268 @p279) :args (@t248 @t210 (@list @t269 @t280))) % 0.52/0.72 (step @p283 :rule cnf_or_pos :args (@t283)) % 0.52/0.72 (step @p284 :rule reordering :premises (@p283) :args ((or @t249 @t282 @t281 (not @t283)))) % 0.52/0.72 (step @p285 :rule chain_m_resolution :premises (@p284 @p282 @p278 @p274) :args (@t281 @t222 (@list @t248 @t278 @t283))) % 0.52/0.72 (step @p286 :rule trans :premises (@p285 @p273 @p263)) % 0.52/0.72 (step @p287 :rule trans :premises (@p286 @p254)) % 0.52/0.72 (step @p288 :rule cong :premises (@p287 @p239) :args (@t241)) % 0.52/0.72 (step @p289 :rule cong :premises (@p288 @p238) :args (@t242)) % 0.52/0.72 (step @p290 :rule trans :premises (@p289 @p237)) % 0.52/0.72 (step @p291 :rule true_elim :premises (@p290)) % 0.52/0.72 (step @p292 :rule instantiate :premises (@p132) :args (@t268)) % 0.52/0.72 (step @p293 :rule cnf_or_pos :args (@t284)) % 0.52/0.72 (step @p294 :rule reordering :premises (@p293) :args ((or @t274 @t239 (not @t284)))) % 0.52/0.72 (step @p295 :rule chain_m_resolution :premises (@p294 @p268 @p292) :args (@t239 @t210 (@list @t269 @t284))) % 0.52/0.72 (step @p296 :rule instantiate :premises (@p130) :args (@t195)) % 0.52/0.72 (step @p297 :rule cnf_or_pos :args (@t285)) % 0.52/0.72 (step @p298 :rule reordering :premises (@p297) :args ((or @t208 @t246 (not @t285)))) % 0.52/0.72 (step @p299 :rule chain_m_resolution :premises (@p298 @p173 @p296) :args (@t246 @t210 (@list @t202 @t285))) % 0.52/0.72 (step @p300 :rule instantiate :premises (@p130) :args (@t268)) % 0.52/0.72 (step @p301 :rule cnf_or_pos :args (@t286)) % 0.52/0.72 (step @p302 :rule reordering :premises (@p301) :args ((or @t274 @t244 (not @t286)))) % 0.52/0.72 (step @p303 :rule chain_m_resolution :premises (@p302 @p268 @p300) :args (@t244 @t210 (@list @t269 @t286))) % 0.52/0.72 (step @p304 :rule instantiate :premises (@p87) :args ((@list tptp.another_function))) % 0.52/0.72 (step @p305 :rule cnf_or_pos :args (@t288)) % 0.52/0.72 (step @p306 :rule reordering :premises (@p305) :args ((or @t287 @t250 (not @t288)))) % 0.52/0.72 (step @p307 :rule chain_m_resolution :premises (@p306 @p161 @p304) :args (@t250 @t210 (@list @t189 @t288))) % 0.52/0.72 (step @p308 :rule cnf_or_pos :args (@t254)) % 0.52/0.72 (step @p309 :rule reordering :premises (@p308) :args ((or @t251 @t249 @t245 @t247 @t240 @t243 @t253 (not @t254)))) % 0.52/0.72 (step @p310 :rule chain_m_resolution :premises (@p309 @p307 @p282 @p303 @p299 @p295 @p291 @p232) :args (@t253 (@list false false false false false false false) (@list @t250 @t248 @t244 @t246 @t239 @t242 @t254))) % 0.52/0.72 (step @p311 :rule cong :premises (@p310 @p215) :args (@t289)) % 0.52/0.72 (step @p312 :rule cong :premises (@p311 @p178) :args (@t290)) % 0.52/0.72 (step @p313 :rule instantiate :premises (@p79) :args ((@list tptp.a_function @t237 @t192 @t271))) % 0.52/0.72 (step @p314 :rule instantiate :premises (@p85) :args (@t196)) % 0.52/0.72 (step @p315 :rule cnf_or_pos :args (@t292)) % 0.52/0.72 (step @p316 :rule reordering :premises (@p315) :args ((or @t197 @t291 (not @t292)))) % 0.52/0.72 (step @p317 :rule chain_m_resolution :premises (@p316 @p170 @p314) :args (@t291 @t204 (@list @t197 @t292))) % 0.52/0.72 (step @p318 :rule false_intro :premises (@p317)) % 0.52/0.72 (step @p319 :rule instantiate :premises (@p184) :args (@t262)) % 0.52/0.72 (step @p320 :rule cnf_or_pos :args (@t294)) % 0.52/0.72 (step @p321 :rule reordering :premises (@p320) :args ((or @t233 @t266 @t293 (not @t294)))) % 0.52/0.72 (step @p322 :rule chain_m_resolution :premises (@p321 @p211 @p259 @p319) :args (@t293 @t222 (@list @t229 @t263 @t294))) % 0.52/0.72 (step @p323 :rule symm :premises (@p322)) % 0.52/0.72 (step @p324 :rule cong :premises (@p272) :args (@t295)) % 0.52/0.72 (step @p325 :rule instantiate :premises (@p184) :args (@t277)) % 0.52/0.72 (step @p326 :rule cnf_or_pos :args (@t297)) % 0.52/0.72 (step @p327 :rule reordering :premises (@p326) :args ((or @t249 @t282 @t296 (not @t297)))) % 0.52/0.72 (step @p328 :rule chain_m_resolution :premises (@p327 @p282 @p278 @p325) :args (@t296 @t222 (@list @t248 @t278 @t297))) % 0.52/0.72 (step @p329 :rule trans :premises (@p328 @p324 @p323)) % 0.52/0.72 (step @p330 :rule refl :args (@t192)) % 0.52/0.72 (step @p331 :rule cong :premises (@p330 @p329) :args (@t298)) % 0.52/0.72 (step @p332 :rule trans :premises (@p331 @p318)) % 0.52/0.72 (step @p333 :rule false_elim :premises (@p332)) % 0.52/0.72 (step @p334 :rule instantiate :premises (@p133) :args (@t268)) % 0.52/0.72 (step @p335 :rule cnf_or_pos :args (@t300)) % 0.52/0.72 (step @p336 :rule reordering :premises (@p335) :args ((or @t274 @t299 (not @t300)))) % 0.52/0.72 (step @p337 :rule chain_m_resolution :premises (@p336 @p268 @p334) :args (@t299 @t210 (@list @t269 @t300))) % 0.52/0.72 (step @p338 :rule instantiate :premises (@p87) :args ((@list tptp.a_function))) % 0.52/0.72 (step @p339 :rule cnf_or_pos :args (@t303)) % 0.52/0.72 (step @p340 :rule reordering :premises (@p339) :args ((or @t302 @t301 (not @t303)))) % 0.52/0.72 (step @p341 :rule chain_m_resolution :premises (@p340 @p160 @p338) :args (@t301 @t210 (@list @t188 @t303))) % 0.52/0.72 (step @p342 :rule cnf_or_pos :args (@t307)) % 0.52/0.72 (step @p343 :rule reordering :premises (@p342) :args ((or @t306 @t232 @t282 @t245 @t304 @t305 @t298 (not @t307)))) % 0.52/0.72 (step @p344 :rule chain_m_resolution :premises (@p343 @p341 @p207 @p278 @p303 @p337 @p333 @p313) :args (@t305 (@list false false false false false true false) (@list @t301 @t227 @t278 @t244 @t299 @t298 @t307))) % 0.52/0.72 (step @p345 :rule false_intro :premises (@p344)) % 0.52/0.72 (step @p346 :rule symm :premises (@p345)) % 0.52/0.72 (step @p347 :rule trans :premises (@p346 @p312 @p177)) % 0.52/0.72 (step @p348 false :rule eq_resolve :premises (@p347 @p163)) % 0.52/0.72 ) % 0.52/0.72 % SZS output end Proof % 0.52/0.72 % cvc5 exiting %------------------------------------------------------------------------------