%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET027-3 : 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 : n002.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 08:47:02 AM UTC 2026 % Result : Unsatisfiable 0.35s 0.71s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET027-3 : 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 % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 14:42:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.71 % SZS status Unsatisfiable % 0.35/0.71 % SZS output start Proof % 0.35/0.71 ( % 0.35/0.71 (declare-sort $$unsorted 0) % 0.35/0.71 (declare-const tptp.f32 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.c $$unsorted) % 0.35/0.71 (declare-const tptp.f31 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.f29 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.closed (-> $$unsorted $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.f28 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.apply_to_two_arguments (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.f7 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.single_valued_set (-> $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.f25 $$unsorted) % 0.35/0.71 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.infinity $$unsorted) % 0.35/0.71 (declare-const tptp.rotate_right (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.f24 (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.b $$unsorted) % 0.35/0.71 (declare-const tptp.f2 (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.f30 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.f5 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.non_ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.estin $$unsorted) % 0.35/0.71 (declare-const tptp.singleton_set (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.f26 (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.flip_range_of (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.f11 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.little_set (-> $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.f3 (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.f12 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.a $$unsorted) % 0.35/0.71 (declare-const tptp.ordered_pair_predicate (-> $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.f4 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.f20 (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.f18 (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.f14 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.f22 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.empty_set $$unsorted) % 0.35/0.71 (declare-const tptp.universal_set $$unsorted) % 0.35/0.71 (declare-const tptp.f16 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.sigma (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.one_to_one_function (-> $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.function (-> $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.f17 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.f13 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.f33 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.f19 (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.identity_relation $$unsorted) % 0.35/0.71 (declare-const tptp.f21 (-> $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.35/0.71 (declare-const tptp.f23 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (declare-const tptp.f27 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.71 (define @t1 () (@var "X" $$unsorted)) % 0.35/0.71 (define @t2 () (tptp.little_set @t1)) % 0.35/0.71 (define @t3 () (@var "Y" $$unsorted)) % 0.35/0.71 (define @t4 () (@list @t1 @t3)) % 0.35/0.71 (define @t5 () (= @t1 @t3)) % 0.35/0.71 (define @t6 () (tptp.f1 @t1 @t3)) % 0.35/0.71 (define @t7 () (tptp.member @t6 @t3)) % 0.35/0.71 (define @t8 () (tptp.member @t6 @t1)) % 0.35/0.71 (define @t9 () (@var "U" $$unsorted)) % 0.35/0.71 (define @t10 () (= @t9 @t3)) % 0.35/0.71 (define @t11 () (= @t9 @t1)) % 0.35/0.71 (define @t12 () (tptp.non_ordered_pair @t1 @t3)) % 0.35/0.71 (define @t13 () (tptp.member @t9 @t12)) % 0.35/0.71 (define @t14 () (@list @t9 @t1 @t3)) % 0.35/0.71 (define @t15 () (not (tptp.little_set @t9))) % 0.35/0.71 (define @t16 () (tptp.singleton_set @t1)) % 0.35/0.71 (define @t17 () (@list @t1)) % 0.35/0.71 (define @t18 () (tptp.ordered_pair @t1 @t3)) % 0.35/0.71 (define @t19 () (tptp.f2 @t1)) % 0.35/0.71 (define @t20 () (tptp.ordered_pair_predicate @t1)) % 0.35/0.71 (define @t21 () (not @t20)) % 0.35/0.71 (define @t22 () (tptp.f3 @t1)) % 0.35/0.71 (define @t23 () (@var "Z" $$unsorted)) % 0.35/0.71 (define @t24 () (not (tptp.little_set @t23))) % 0.35/0.71 (define @t25 () (not (tptp.little_set @t3))) % 0.35/0.71 (define @t26 () (@list @t1 @t3 @t23)) % 0.35/0.71 (define @t27 () (tptp.f4 @t23 @t1)) % 0.35/0.71 (define @t28 () (tptp.first @t1)) % 0.35/0.71 (define @t29 () (tptp.member @t23 @t28)) % 0.35/0.71 (define @t30 () (not @t29)) % 0.35/0.71 (define @t31 () (@list @t23 @t1)) % 0.35/0.71 (define @t32 () (tptp.f5 @t23 @t1)) % 0.35/0.71 (define @t33 () (@var "V" $$unsorted)) % 0.35/0.71 (define @t34 () (tptp.ordered_pair @t9 @t33)) % 0.35/0.71 (define @t35 () (not (= @t1 @t34))) % 0.35/0.71 (define @t36 () (not (tptp.little_set @t33))) % 0.35/0.71 (define @t37 () (@list @t23 @t1 @t9 @t33)) % 0.35/0.71 (define @t38 () (tptp.f6 @t23 @t1)) % 0.35/0.71 (define @t39 () (tptp.second @t1)) % 0.35/0.71 (define @t40 () (tptp.member @t23 @t39)) % 0.35/0.71 (define @t41 () (not @t40)) % 0.35/0.71 (define @t42 () (tptp.f7 @t23 @t1)) % 0.35/0.71 (define @t43 () (tptp.ordered_pair_predicate @t23)) % 0.35/0.71 (define @t44 () (tptp.member @t23 tptp.estin)) % 0.35/0.71 (define @t45 () (not @t44)) % 0.35/0.71 (define @t46 () (@list @t23)) % 0.35/0.71 (define @t47 () (tptp.second @t23)) % 0.35/0.71 (define @t48 () (tptp.first @t23)) % 0.35/0.71 (define @t49 () (tptp.member @t48 @t47)) % 0.35/0.71 (define @t50 () (not @t43)) % 0.35/0.71 (define @t51 () (tptp.member @t23 @t1)) % 0.35/0.71 (define @t52 () (tptp.member @t23 (tptp.intersection @t1 @t3))) % 0.35/0.71 (define @t53 () (not @t52)) % 0.35/0.71 (define @t54 () (@list @t23 @t1 @t3)) % 0.35/0.71 (define @t55 () (tptp.member @t23 @t3)) % 0.35/0.71 (define @t56 () (not @t55)) % 0.35/0.71 (define @t57 () (not @t51)) % 0.35/0.71 (define @t58 () (tptp.complement @t1)) % 0.35/0.71 (define @t59 () (tptp.member @t23 @t58)) % 0.35/0.71 (define @t60 () (tptp.f8 @t23 @t1)) % 0.35/0.71 (define @t61 () (tptp.member @t23 (tptp.domain_of @t1))) % 0.35/0.71 (define @t62 () (not @t61)) % 0.35/0.71 (define @t63 () (@var "Xp" $$unsorted)) % 0.35/0.71 (define @t64 () (not (tptp.member @t63 @t1))) % 0.35/0.71 (define @t65 () (not (tptp.ordered_pair_predicate @t63))) % 0.35/0.71 (define @t66 () (@list @t23 @t1 @t63)) % 0.35/0.71 (define @t67 () (tptp.member @t23 (tptp.cross_product @t1 @t3))) % 0.35/0.71 (define @t68 () (not @t67)) % 0.35/0.71 (define @t69 () (tptp.member @t48 @t1)) % 0.35/0.71 (define @t70 () (tptp.member @t47 @t3)) % 0.35/0.71 (define @t71 () (tptp.member @t23 (tptp.converse @t1))) % 0.35/0.71 (define @t72 () (not @t71)) % 0.35/0.71 (define @t73 () (tptp.member (tptp.ordered_pair @t47 @t48) @t1)) % 0.35/0.71 (define @t74 () (tptp.f9 @t23 @t1)) % 0.35/0.71 (define @t75 () (tptp.member @t23 (tptp.rotate_right @t1))) % 0.35/0.71 (define @t76 () (not @t75)) % 0.35/0.71 (define @t77 () (tptp.f10 @t23 @t1)) % 0.35/0.71 (define @t78 () (tptp.f11 @t23 @t1)) % 0.35/0.71 (define @t79 () (@var "W" $$unsorted)) % 0.35/0.71 (define @t80 () (not (= @t23 (tptp.ordered_pair @t9 (tptp.ordered_pair @t33 @t79))))) % 0.35/0.71 (define @t81 () (not (tptp.little_set @t79))) % 0.35/0.71 (define @t82 () (@list @t23 @t1 @t9 @t33 @t79)) % 0.35/0.71 (define @t83 () (tptp.f12 @t23 @t1)) % 0.35/0.71 (define @t84 () (tptp.member @t23 (tptp.flip_range_of @t1))) % 0.35/0.71 (define @t85 () (not @t84)) % 0.35/0.71 (define @t86 () (tptp.f13 @t23 @t1)) % 0.35/0.71 (define @t87 () (tptp.f14 @t23 @t1)) % 0.35/0.71 (define @t88 () (tptp.successor @t1)) % 0.35/0.71 (define @t89 () (tptp.f16 @t23 @t1)) % 0.35/0.71 (define @t90 () (tptp.member @t23 (tptp.sigma @t1))) % 0.35/0.71 (define @t91 () (not @t90)) % 0.35/0.71 (define @t92 () (@list @t9)) % 0.35/0.71 (define @t93 () (tptp.member @t9 @t3)) % 0.35/0.71 (define @t94 () (not (tptp.member @t9 @t1))) % 0.35/0.71 (define @t95 () (tptp.subset @t1 @t3)) % 0.35/0.71 (define @t96 () (not @t95)) % 0.35/0.71 (define @t97 () (@list @t1 @t3 @t9)) % 0.35/0.71 (define @t98 () (forall @t97 (or @t96 @t94 @t93))) % 0.35/0.71 (define @t99 () (tptp.f17 @t1 @t3)) % 0.35/0.71 (define @t100 () (tptp.proper_subset @t1 @t3)) % 0.35/0.71 (define @t101 () (not @t100)) % 0.35/0.71 (define @t102 () (tptp.subset @t23 @t1)) % 0.35/0.71 (define @t103 () (tptp.member @t23 (tptp.powerset @t1))) % 0.35/0.71 (define @t104 () (tptp.relation @t23)) % 0.35/0.71 (define @t105 () (tptp.f18 @t23)) % 0.35/0.71 (define @t106 () (tptp.single_valued_set @t1)) % 0.35/0.71 (define @t107 () (tptp.f19 @t1)) % 0.35/0.71 (define @t108 () (tptp.f20 @t1)) % 0.35/0.71 (define @t109 () (tptp.f21 @t1)) % 0.35/0.71 (define @t110 () (@var "Xf" $$unsorted)) % 0.35/0.71 (define @t111 () (tptp.relation @t110)) % 0.35/0.71 (define @t112 () (tptp.function @t110)) % 0.35/0.71 (define @t113 () (not @t112)) % 0.35/0.71 (define @t114 () (@list @t110)) % 0.35/0.71 (define @t115 () (tptp.single_valued_set @t110)) % 0.35/0.71 (define @t116 () (tptp.f22 @t23 @t1 @t110)) % 0.35/0.71 (define @t117 () (tptp.image @t1 @t110)) % 0.35/0.71 (define @t118 () (tptp.member @t23 @t117)) % 0.35/0.71 (define @t119 () (not @t118)) % 0.35/0.71 (define @t120 () (@list @t23 @t1 @t110)) % 0.35/0.71 (define @t121 () (not @t2)) % 0.35/0.71 (define @t122 () (tptp.disjoint @t1 @t3)) % 0.35/0.71 (define @t123 () (tptp.f23 @t1 @t3)) % 0.35/0.71 (define @t124 () (tptp.f24 @t1)) % 0.35/0.71 (define @t125 () (= @t1 tptp.empty_set)) % 0.35/0.71 (define @t126 () (tptp.f26 @t1)) % 0.35/0.71 (define @t127 () (tptp.f27 @t23 @t1)) % 0.35/0.71 (define @t128 () (tptp.member @t23 (tptp.range_of @t1))) % 0.35/0.71 (define @t129 () (not @t128)) % 0.35/0.71 (define @t130 () (tptp.member @t23 tptp.identity_relation)) % 0.35/0.71 (define @t131 () (not @t130)) % 0.35/0.71 (define @t132 () (= @t48 @t47)) % 0.35/0.71 (define @t133 () (tptp.one_to_one_function @t110)) % 0.35/0.71 (define @t134 () (not @t133)) % 0.35/0.71 (define @t135 () (tptp.function (tptp.converse @t110))) % 0.35/0.71 (define @t136 () (tptp.f28 @t23 @t110 @t3)) % 0.35/0.71 (define @t137 () (tptp.member @t23 (tptp.apply @t110 @t3))) % 0.35/0.71 (define @t138 () (not @t137)) % 0.35/0.71 (define @t139 () (@list @t23 @t110 @t3)) % 0.35/0.71 (define @t140 () (@list @t110 @t1 @t3)) % 0.35/0.71 (define @t141 () (tptp.maps @t110 @t1 @t3)) % 0.35/0.71 (define @t142 () (not @t141)) % 0.35/0.71 (define @t143 () (= (tptp.domain_of @t110) @t1)) % 0.35/0.71 (define @t144 () (tptp.subset (tptp.range_of @t110) @t3)) % 0.35/0.71 (define @t145 () (@var "Xs" $$unsorted)) % 0.35/0.71 (define @t146 () (tptp.little_set @t145)) % 0.35/0.71 (define @t147 () (tptp.closed @t145 @t110)) % 0.35/0.71 (define @t148 () (not @t147)) % 0.35/0.71 (define @t149 () (@list @t145 @t110)) % 0.35/0.71 (define @t150 () (tptp.little_set @t110)) % 0.35/0.71 (define @t151 () (tptp.maps @t110 (tptp.cross_product @t145 @t145) @t145)) % 0.35/0.71 (define @t152 () (@var "Xg" $$unsorted)) % 0.35/0.71 (define @t153 () (tptp.f29 @t23 @t110 @t152)) % 0.35/0.71 (define @t154 () (tptp.member @t23 (tptp.compose @t110 @t152))) % 0.35/0.71 (define @t155 () (not @t154)) % 0.35/0.71 (define @t156 () (@list @t23 @t110 @t152)) % 0.35/0.71 (define @t157 () (tptp.f30 @t23 @t110 @t152)) % 0.35/0.71 (define @t158 () (tptp.f31 @t23 @t110 @t152)) % 0.35/0.71 (define @t159 () (@var "Xf1" $$unsorted)) % 0.35/0.71 (define @t160 () (@var "Xs1" $$unsorted)) % 0.35/0.71 (define @t161 () (tptp.closed @t160 @t159)) % 0.35/0.71 (define @t162 () (@var "Xf2" $$unsorted)) % 0.35/0.71 (define @t163 () (@var "Xs2" $$unsorted)) % 0.35/0.71 (define @t164 () (@var "Xh" $$unsorted)) % 0.35/0.71 (define @t165 () (tptp.homomorphism @t164 @t160 @t159 @t163 @t162)) % 0.35/0.71 (define @t166 () (not @t165)) % 0.35/0.71 (define @t167 () (@list @t164 @t160 @t159 @t163 @t162)) % 0.35/0.71 (define @t168 () (tptp.closed @t163 @t162)) % 0.35/0.71 (define @t169 () (tptp.maps @t164 @t160 @t163)) % 0.35/0.71 (define @t170 () (tptp.f32 @t164 @t160 @t159 @t163 @t162)) % 0.35/0.71 (define @t171 () (not @t169)) % 0.35/0.71 (define @t172 () (not @t168)) % 0.35/0.71 (define @t173 () (not @t161)) % 0.35/0.71 (define @t174 () (tptp.f33 @t164 @t160 @t159 @t163 @t162)) % 0.35/0.71 (define @t175 () (not (= @t18 @t34))) % 0.35/0.71 (define @t176 () (tptp.subset tptp.a tptp.b)) % 0.35/0.71 (define @t177 () (tptp.subset tptp.b tptp.c)) % 0.35/0.71 (define @t178 () (tptp.subset tptp.a tptp.c)) % 0.35/0.71 (define @t179 () (tptp.f17 tptp.a tptp.c)) % 0.35/0.71 (define @t180 () (@list tptp.a tptp.c)) % 0.35/0.71 (define @t181 () (tptp.member @t179 tptp.a)) % 0.35/0.71 (define @t182 () (or @t178 @t181)) % 0.35/0.71 (define @t183 () (@list true false)) % 0.35/0.71 (define @t184 () (tptp.member @t179 tptp.b)) % 0.35/0.71 (define @t185 () (not @t181)) % 0.35/0.71 (define @t186 () (not @t176)) % 0.35/0.71 (define @t187 () (or @t186 @t185 @t184)) % 0.35/0.71 (define @t188 () (tptp.member @t179 tptp.c)) % 0.35/0.71 (define @t189 () (not @t188)) % 0.35/0.71 (define @t190 () (or @t178 @t189)) % 0.35/0.71 (define @t191 () (not @t184)) % 0.35/0.71 (define @t192 () (not @t177)) % 0.35/0.71 (define @t193 () (or @t192 @t191 @t188)) % 0.35/0.71 (define @t194 () (not @t193)) % 0.35/0.71 (assume @p1 (forall @t4 (or (not (tptp.member @t1 @t3)) @t2))) % 0.35/0.71 (assume @p2 (forall @t4 (or (tptp.little_set @t6) @t5))) % 0.35/0.71 (assume @p3 (forall @t4 (or @t8 @t7 @t5))) % 0.35/0.71 (assume @p4 (forall @t4 (or (not @t8) (not @t7) @t5))) % 0.35/0.71 (assume @p5 (forall @t14 (or (not @t13) @t11 @t10))) % 0.35/0.71 (assume @p6 (forall @t14 (or @t13 @t15 (not @t11)))) % 0.35/0.71 (assume @p7 (forall @t14 (or @t13 @t15 (not @t10)))) % 0.35/0.71 (assume @p8 (forall @t4 (tptp.little_set @t12))) % 0.35/0.71 (assume @p9 (forall @t17 (= @t16 (tptp.non_ordered_pair @t1 @t1)))) % 0.35/0.71 (assume @p10 (forall @t4 (= @t18 (tptp.non_ordered_pair @t16 @t12)))) % 0.35/0.71 (assume @p11 (forall @t17 (or @t21 (tptp.little_set @t19)))) % 0.35/0.71 (assume @p12 (forall @t17 (or @t21 (tptp.little_set @t22)))) % 0.35/0.71 (assume @p13 (forall @t17 (or @t21 (= @t1 (tptp.ordered_pair @t19 @t22))))) % 0.35/0.71 (assume @p14 (forall @t26 (or @t20 @t25 @t24 (not (= @t1 (tptp.ordered_pair @t3 @t23)))))) % 0.35/0.71 (assume @p15 (forall @t31 (or @t30 (tptp.little_set @t27)))) % 0.35/0.71 (assume @p16 (forall @t31 (or @t30 (tptp.little_set @t32)))) % 0.35/0.71 (assume @p17 (forall @t31 (or @t30 (= @t1 (tptp.ordered_pair @t27 @t32))))) % 0.35/0.71 (assume @p18 (forall @t31 (or @t30 (tptp.member @t23 @t27)))) % 0.35/0.71 (assume @p19 (forall @t37 (or @t29 @t15 @t36 @t35 (not (tptp.member @t23 @t9))))) % 0.35/0.71 (assume @p20 (forall @t31 (or @t41 (tptp.little_set @t38)))) % 0.35/0.71 (assume @p21 (forall @t31 (or @t41 (tptp.little_set @t42)))) % 0.35/0.71 (assume @p22 (forall @t31 (or @t41 (= @t1 (tptp.ordered_pair @t38 @t42))))) % 0.35/0.71 (assume @p23 (forall @t31 (or @t41 (tptp.member @t23 @t42)))) % 0.35/0.71 (assume @p24 (forall @t37 (or @t40 @t15 @t36 @t35 (not (tptp.member @t23 @t33))))) % 0.35/0.71 (assume @p25 (forall @t46 (or @t45 @t43))) % 0.35/0.71 (assume @p26 (forall @t46 (or @t45 @t49))) % 0.35/0.71 (assume @p27 (forall @t46 (or @t44 @t24 @t50 (not @t49)))) % 0.35/0.71 (assume @p28 (forall @t54 (or @t53 @t51))) % 0.35/0.71 (assume @p29 (forall @t54 (or @t53 @t55))) % 0.35/0.71 (assume @p30 (forall @t54 (or @t52 @t57 @t56))) % 0.35/0.71 (assume @p31 (forall @t31 (or (not @t59) @t57))) % 0.35/0.71 (assume @p32 (forall @t31 (or @t59 @t24 @t51))) % 0.35/0.71 (assume @p33 (forall @t4 (= (tptp.union @t1 @t3) (tptp.complement (tptp.intersection @t58 (tptp.complement @t3)))))) % 0.35/0.71 (assume @p34 (forall @t31 (or @t62 (tptp.ordered_pair_predicate @t60)))) % 0.35/0.71 (assume @p35 (forall @t31 (or @t62 (tptp.member @t60 @t1)))) % 0.35/0.71 (assume @p36 (forall @t31 (or @t62 (= @t23 (tptp.first @t60))))) % 0.35/0.71 (assume @p37 (forall @t66 (or @t61 @t24 @t65 @t64 (not (= @t23 (tptp.first @t63)))))) % 0.35/0.71 (assume @p38 (forall @t54 (or @t68 @t43))) % 0.35/0.71 (assume @p39 (forall @t54 (or @t68 @t69))) % 0.35/0.71 (assume @p40 (forall @t54 (or @t68 @t70))) % 0.35/0.71 (assume @p41 (forall @t54 (or @t67 @t24 @t50 (not @t69) (not @t70)))) % 0.35/0.71 (assume @p42 (forall @t31 (or @t72 @t43))) % 0.35/0.71 (assume @p43 (forall @t31 (or @t72 @t73))) % 0.35/0.71 (assume @p44 (forall @t31 (or @t71 @t24 @t50 (not @t73)))) % 0.35/0.71 (assume @p45 (forall @t31 (or @t76 (tptp.little_set @t74)))) % 0.35/0.71 (assume @p46 (forall @t31 (or @t76 (tptp.little_set @t77)))) % 0.35/0.71 (assume @p47 (forall @t31 (or @t76 (tptp.little_set @t78)))) % 0.35/0.71 (assume @p48 (forall @t31 (or @t76 (= @t23 (tptp.ordered_pair @t74 (tptp.ordered_pair @t77 @t78)))))) % 0.35/0.71 (assume @p49 (forall @t31 (or @t76 (tptp.member (tptp.ordered_pair @t77 (tptp.ordered_pair @t78 @t74)) @t1)))) % 0.35/0.71 (assume @p50 (forall @t82 (or @t75 @t24 @t15 @t36 @t81 @t80 (not (tptp.member (tptp.ordered_pair @t33 (tptp.ordered_pair @t79 @t9)) @t1))))) % 0.35/0.71 (assume @p51 (forall @t31 (or @t85 (tptp.little_set @t83)))) % 0.35/0.71 (assume @p52 (forall @t31 (or @t85 (tptp.little_set @t86)))) % 0.35/0.71 (assume @p53 (forall @t31 (or @t85 (tptp.little_set @t87)))) % 0.35/0.71 (assume @p54 (forall @t31 (or @t85 (= @t23 (tptp.ordered_pair @t83 (tptp.ordered_pair @t86 @t87)))))) % 0.35/0.71 (assume @p55 (forall @t31 (or @t85 (tptp.member (tptp.ordered_pair @t83 (tptp.ordered_pair @t87 @t86)) @t1)))) % 0.35/0.71 (assume @p56 (forall @t82 (or @t84 @t24 @t15 @t36 @t81 @t80 (not (tptp.member (tptp.ordered_pair @t9 (tptp.ordered_pair @t79 @t33)) @t1))))) % 0.35/0.71 (assume @p57 (forall @t17 (= @t88 (tptp.union @t1 @t16)))) % 0.35/0.71 (assume @p58 (forall @t46 (not (tptp.member @t23 tptp.empty_set)))) % 0.35/0.71 (assume @p59 (forall @t46 (or (tptp.member @t23 tptp.universal_set) @t24))) % 0.35/0.71 (assume @p60 (tptp.little_set tptp.infinity)) % 0.35/0.71 (assume @p61 (tptp.member tptp.empty_set tptp.infinity)) % 0.35/0.71 (assume @p62 (forall @t17 (or (not (tptp.member @t1 tptp.infinity)) (tptp.member @t88 tptp.infinity)))) % 0.35/0.71 (assume @p63 (forall @t31 (or @t91 (tptp.member @t89 @t1)))) % 0.35/0.71 (assume @p64 (forall @t31 (or @t91 (tptp.member @t23 @t89)))) % 0.35/0.71 (assume @p65 (forall @t54 (or @t90 (not (tptp.member @t3 @t1)) @t56))) % 0.35/0.71 (assume @p66 (forall @t92 (or @t15 (tptp.little_set (tptp.sigma @t9))))) % 0.35/0.71 (assume @p67 @t98) % 0.35/0.71 (assume @p68 (forall @t4 (or @t95 (tptp.member @t99 @t1)))) % 0.35/0.71 (assume @p69 (forall @t4 (or @t95 (not (tptp.member @t99 @t3))))) % 0.35/0.71 (assume @p70 (forall @t4 (or @t101 @t95))) % 0.35/0.71 (assume @p71 (forall @t4 (or @t101 (not @t5)))) % 0.35/0.71 (assume @p72 (forall @t4 (or @t100 @t96 @t5))) % 0.35/0.71 (assume @p73 (forall @t31 (or (not @t103) @t102))) % 0.35/0.71 (assume @p74 (forall @t31 (or @t103 @t24 (not @t102)))) % 0.35/0.71 (assume @p75 (forall @t92 (or @t15 (tptp.little_set (tptp.powerset @t9))))) % 0.35/0.71 (assume @p76 (forall @t31 (or (not @t104) (not (tptp.member @t1 @t23)) @t20))) % 0.35/0.71 (assume @p77 (forall @t46 (or @t104 (tptp.member @t105 @t23)))) % 0.35/0.71 (assume @p78 (forall @t46 (or @t104 (not (tptp.ordered_pair_predicate @t105))))) % 0.35/0.71 (assume @p79 (forall (@list @t1 @t9 @t33 @t79) (or (not @t106) @t15 @t36 @t81 (not (tptp.member @t34 @t1)) (not (tptp.member (tptp.ordered_pair @t9 @t79) @t1)) (= @t33 @t79)))) % 0.35/0.71 (assume @p80 (forall @t17 (or @t106 (tptp.little_set @t107)))) % 0.35/0.71 (assume @p81 (forall @t17 (or @t106 (tptp.little_set @t108)))) % 0.35/0.71 (assume @p82 (forall @t17 (or @t106 (tptp.little_set @t109)))) % 0.35/0.71 (assume @p83 (forall @t17 (or @t106 (tptp.member (tptp.ordered_pair @t107 @t108) @t1)))) % 0.35/0.71 (assume @p84 (forall @t17 (or @t106 (tptp.member (tptp.ordered_pair @t107 @t109) @t1)))) % 0.35/0.71 (assume @p85 (forall @t17 (or @t106 (not (= @t108 @t109))))) % 0.35/0.71 (assume @p86 (forall @t114 (or @t113 @t111))) % 0.35/0.71 (assume @p87 (forall @t114 (or @t113 @t115))) % 0.35/0.71 (assume @p88 (forall @t114 (or @t112 (not @t111) (not @t115)))) % 0.35/0.71 (assume @p89 (forall @t120 (or @t119 (tptp.ordered_pair_predicate @t116)))) % 0.35/0.71 (assume @p90 (forall @t120 (or @t119 (tptp.member @t116 @t110)))) % 0.35/0.71 (assume @p91 (forall @t120 (or @t119 (tptp.member (tptp.first @t116) @t1)))) % 0.35/0.71 (assume @p92 (forall @t120 (or @t119 (= (tptp.second @t116) @t23)))) % 0.35/0.71 (assume @p93 (forall (@list @t23 @t1 @t110 @t3) (or @t118 @t24 (not (tptp.ordered_pair_predicate @t3)) (not (tptp.member @t3 @t110)) (not (tptp.member (tptp.first @t3) @t1)) (not (= (tptp.second @t3) @t23))))) % 0.35/0.71 (assume @p94 (forall (@list @t1 @t110) (or @t121 @t113 (tptp.little_set @t117)))) % 0.35/0.71 (assume @p95 (forall @t97 (or (not @t122) @t94 (not @t93)))) % 0.35/0.71 (assume @p96 (forall @t4 (or @t122 (tptp.member @t123 @t1)))) % 0.35/0.71 (assume @p97 (forall @t4 (or @t122 (tptp.member @t123 @t3)))) % 0.35/0.71 (assume @p98 (forall @t17 (or @t125 (tptp.member @t124 @t1)))) % 0.35/0.71 (assume @p99 (forall @t17 (or @t125 (tptp.disjoint @t124 @t1)))) % 0.35/0.71 (assume @p100 (tptp.function tptp.f25)) % 0.35/0.71 (assume @p101 (forall @t17 (or @t121 @t125 (tptp.member @t126 @t1)))) % 0.35/0.71 (assume @p102 (forall @t17 (or @t121 @t125 (tptp.member (tptp.ordered_pair @t1 @t126) tptp.f25)))) % 0.35/0.71 (assume @p103 (forall @t31 (or @t129 (tptp.ordered_pair_predicate @t127)))) % 0.35/0.71 (assume @p104 (forall @t31 (or @t129 (tptp.member @t127 @t1)))) % 0.35/0.71 (assume @p105 (forall @t31 (or @t129 (= @t23 (tptp.second @t127))))) % 0.35/0.71 (assume @p106 (forall @t66 (or @t128 @t24 @t65 @t64 (not (= @t23 (tptp.second @t63)))))) % 0.35/0.71 (assume @p107 (forall @t46 (or @t131 @t43))) % 0.35/0.71 (assume @p108 (forall @t46 (or @t131 @t132))) % 0.35/0.71 (assume @p109 (forall @t46 (or @t130 @t24 @t50 (not @t132)))) % 0.35/0.71 (assume @p110 (forall @t4 (= (tptp.restrict @t1 @t3) (tptp.intersection @t1 (tptp.cross_product @t3 tptp.universal_set))))) % 0.35/0.71 (assume @p111 (forall @t114 (or @t134 @t112))) % 0.35/0.71 (assume @p112 (forall @t114 (or @t134 @t135))) % 0.35/0.71 (assume @p113 (forall @t114 (or @t133 @t113 (not @t135)))) % 0.35/0.71 (assume @p114 (forall @t139 (or @t138 (tptp.ordered_pair_predicate @t136)))) % 0.35/0.71 (assume @p115 (forall @t139 (or @t138 (tptp.member @t136 @t110)))) % 0.35/0.71 (assume @p116 (forall @t139 (or @t138 (= (tptp.first @t136) @t3)))) % 0.35/0.71 (assume @p117 (forall @t139 (or @t138 (tptp.member @t23 (tptp.second @t136))))) % 0.35/0.71 (assume @p118 (forall (@list @t23 @t110 @t3 @t79) (or @t137 (not (tptp.ordered_pair_predicate @t79)) (not (tptp.member @t79 @t110)) (not (= (tptp.first @t79) @t3)) (not (tptp.member @t23 (tptp.second @t79)))))) % 0.35/0.71 (assume @p119 (forall @t140 (= (tptp.apply_to_two_arguments @t110 @t1 @t3) (tptp.apply @t110 @t18)))) % 0.35/0.71 (assume @p120 (forall @t140 (or @t142 @t112))) % 0.35/0.71 (assume @p121 (forall @t140 (or @t142 @t143))) % 0.35/0.71 (assume @p122 (forall @t140 (or @t142 @t144))) % 0.35/0.71 (assume @p123 (forall @t140 (or @t141 @t113 (not @t143) (not @t144)))) % 0.35/0.71 (assume @p124 (forall @t149 (or @t148 @t146))) % 0.35/0.71 (assume @p125 (forall @t149 (or @t148 @t150))) % 0.35/0.71 (assume @p126 (forall @t149 (or @t148 @t151))) % 0.35/0.71 (assume @p127 (forall @t149 (or @t147 (not @t146) (not @t150) (not @t151)))) % 0.35/0.71 (assume @p128 (forall @t156 (or @t155 (tptp.little_set @t153)))) % 0.35/0.71 (assume @p129 (forall @t156 (or @t155 (tptp.little_set @t157)))) % 0.35/0.71 (assume @p130 (forall @t156 (or @t155 (tptp.little_set @t158)))) % 0.35/0.71 (assume @p131 (forall @t156 (or @t155 (= @t23 (tptp.ordered_pair @t153 @t157))))) % 0.35/0.71 (assume @p132 (forall @t156 (or @t155 (tptp.member (tptp.ordered_pair @t153 @t158) @t110)))) % 0.35/0.71 (assume @p133 (forall @t156 (or @t155 (tptp.member (tptp.ordered_pair @t158 @t157) @t152)))) % 0.35/0.71 (assume @p134 (forall (@list @t23 @t110 @t152 @t1 @t3 @t79) (or @t154 @t24 @t121 @t25 @t81 (not (= @t23 @t18)) (not (tptp.member (tptp.ordered_pair @t1 @t79) @t110)) (not (tptp.member (tptp.ordered_pair @t79 @t3) @t152))))) % 0.35/0.71 (assume @p135 (forall @t167 (or @t166 @t161))) % 0.35/0.71 (assume @p136 (forall @t167 (or @t166 @t168))) % 0.35/0.71 (assume @p137 (forall @t167 (or @t166 @t169))) % 0.35/0.71 (assume @p138 (forall (@list @t164 @t160 @t159 @t163 @t162 @t1 @t3) (or @t166 (not (tptp.member @t1 @t160)) (not (tptp.member @t3 @t160)) (= (tptp.apply @t164 (tptp.apply_to_two_arguments @t159 @t1 @t3)) (tptp.apply_to_two_arguments @t162 (tptp.apply @t164 @t1) (tptp.apply @t164 @t3)))))) % 0.35/0.71 (assume @p139 (forall @t167 (or @t165 @t173 @t172 @t171 (tptp.member @t170 @t160)))) % 0.35/0.71 (assume @p140 (forall @t167 (or @t165 @t173 @t172 @t171 (tptp.member @t174 @t160)))) % 0.35/0.71 (assume @p141 (forall @t167 (or @t165 @t173 @t172 @t171 (not (= (tptp.apply @t164 (tptp.apply_to_two_arguments @t159 @t170 @t174)) (tptp.apply_to_two_arguments @t162 (tptp.apply @t164 @t170) (tptp.apply @t164 @t174))))))) % 0.35/0.71 (assume @p142 (forall (@list @t1 @t9 @t3 @t33) (or @t121 @t15 @t175 (= @t1 @t9)))) % 0.35/0.71 (assume @p143 (forall @t26 (or @t121 @t25 (not (= (tptp.non_ordered_pair @t23 @t1) (tptp.non_ordered_pair @t23 @t3))) @t5))) % 0.35/0.71 (assume @p144 (forall (@list @t1 @t3 @t9 @t33) (or @t121 @t25 @t15 @t36 @t175 (= @t3 @t33)))) % 0.35/0.71 (assume @p145 (forall @t4 (or @t96 (not (tptp.subset @t3 @t1)) @t5))) % 0.35/0.71 (assume @p146 (forall @t4 (or @t121 @t25 (= (tptp.first @t18) @t1)))) % 0.35/0.71 (assume @p147 (forall @t4 (or @t121 @t25 (= (tptp.second @t18) @t3)))) % 0.35/0.71 (assume @p148 (forall @t17 (or @t21 (tptp.little_set @t28)))) % 0.35/0.71 (assume @p149 (forall @t17 (or @t21 (tptp.little_set @t39)))) % 0.35/0.71 (assume @p150 (forall @t17 (or @t121 (tptp.member @t1 @t16)))) % 0.35/0.71 (assume @p151 (forall @t4 (tptp.little_set @t18))) % 0.35/0.71 (assume @p152 (forall @t17 (or @t21 @t2))) % 0.35/0.71 (assume @p153 @t176) % 0.35/0.71 (assume @p154 @t177) % 0.35/0.71 (assume @p155 (not @t178)) % 0.35/0.71 (step @p156 :rule instantiate :premises (@p67) :args ((@list tptp.a tptp.b @t179))) % 0.35/0.71 (step @p157 :rule instantiate :premises (@p68) :args (@t180)) % 0.35/0.71 (step @p158 :rule cnf_or_pos :args (@t182)) % 0.35/0.71 (step @p159 :rule reordering :premises (@p158) :args ((or @t178 @t181 (not @t182)))) % 0.35/0.71 (step @p160 :rule chain_m_resolution :premises (@p159 @p155 @p157) :args (@t181 @t183 (@list @t178 @t182))) % 0.35/0.71 (step @p161 :rule cnf_or_pos :args (@t187)) % 0.35/0.71 (step @p162 :rule reordering :premises (@p161) :args ((or @t186 @t185 @t184 (not @t187)))) % 0.35/0.71 (step @p163 :rule chain_m_resolution :premises (@p162 @p153 @p160 @p156) :args (@t184 (@list false false false) (@list @t176 @t181 @t187))) % 0.35/0.71 (step @p164 :rule instantiate :premises (@p69) :args (@t180)) % 0.35/0.71 (step @p165 :rule cnf_or_pos :args (@t190)) % 0.35/0.71 (step @p166 :rule reordering :premises (@p165) :args ((or @t178 @t189 (not @t190)))) % 0.35/0.71 (step @p167 :rule chain_m_resolution :premises (@p166 @p155 @p164) :args (@t189 @t183 (@list @t178 @t190))) % 0.35/0.71 (step @p168 :rule cnf_or_pos :args (@t193)) % 0.35/0.71 (step @p169 :rule reordering :premises (@p168) :args ((or @t192 @t188 @t191 @t194))) % 0.35/0.71 (step @p170 :rule chain_m_resolution :premises (@p169 @p154 @p167 @p163) :args (@t194 (@list false true false) (@list @t177 @t188 @t184))) % 0.35/0.71 (assume-push @p177 @t98) % 0.35/0.71 (step @p172 :rule instantiate :premises (@p67) :args ((@list tptp.b tptp.c @t179))) % 0.35/0.71 (step-pop @p178 :rule scope :premises (@p172)) % 0.35/0.71 (step @p173 :rule process_scope :premises (@p178) :args (@t193)) % 0.35/0.71 (step @p175 :rule implies_elim :premises (@p173)) % 0.35/0.71 (step @p176 false :rule chain_m_resolution :premises (@p175 @p170 @p67) :args (false @t183 (@list @t193 @t98))) % 0.35/0.71 ) % 0.35/0.71 % SZS output end Proof % 0.35/0.71 % cvc5 exiting %------------------------------------------------------------------------------