%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET018-4 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:46:59 AM UTC 2026 % Result : Unsatisfiable 33.89s 34.05s % Output : Proof 33.89s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET018-4 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n028.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 14:41:05 EDT 2026 % 0.15/0.34 % CPUTime : % 0.32/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.55/15.71 --- Run --no-e-matching --full-saturate-quant at 6... % 21.54/21.76 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.64/27.82 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.64/33.87 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.89/34.05 % SZS status Unsatisfiable % 33.89/34.05 % SZS output start Proof % 33.89/34.06 ( % 33.89/34.06 (declare-sort $$unsorted 0) % 33.89/34.06 (declare-const tptp.d $$unsorted) % 33.89/34.06 (declare-const tptp.c $$unsorted) % 33.89/34.06 (declare-const tptp.b $$unsorted) % 33.89/34.06 (declare-const tptp.f32 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.f31 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.f29 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.closed (-> $$unsorted $$unsorted Bool)) % 33.89/34.06 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.89/34.06 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.f28 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.apply_to_two_arguments (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.f7 (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 33.89/34.06 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.single_valued_set (-> $$unsorted Bool)) % 33.89/34.06 (declare-const tptp.f25 $$unsorted) % 33.89/34.06 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.infinity $$unsorted) % 33.89/34.06 (declare-const tptp.rotate_right (-> $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.f24 (-> $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.f2 (-> $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 33.89/34.06 (declare-const tptp.f30 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.f5 (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 33.89/34.06 (declare-const tptp.non_ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.a $$unsorted) % 33.89/34.06 (declare-const tptp.estin $$unsorted) % 33.89/34.06 (declare-const tptp.singleton_set (-> $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.f26 (-> $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.flip_range_of (-> $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.f11 (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.little_set (-> $$unsorted Bool)) % 33.89/34.06 (declare-const tptp.f3 (-> $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.f12 (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.relation (-> $$unsorted Bool)) % 33.89/34.06 (declare-const tptp.ordered_pair_predicate (-> $$unsorted Bool)) % 33.89/34.06 (declare-const tptp.f4 (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.f20 (-> $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.f18 (-> $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.f14 (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.f22 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.empty_set $$unsorted) % 33.89/34.06 (declare-const tptp.universal_set $$unsorted) % 33.89/34.06 (declare-const tptp.f16 (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.sigma (-> $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.one_to_one_function (-> $$unsorted Bool)) % 33.89/34.06 (declare-const tptp.function (-> $$unsorted Bool)) % 33.89/34.06 (declare-const tptp.f17 (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.f13 (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.f33 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 33.89/34.06 (declare-const tptp.f19 (-> $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.identity_relation $$unsorted) % 33.89/34.06 (declare-const tptp.f21 (-> $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 33.89/34.06 (declare-const tptp.f23 (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (declare-const tptp.f27 (-> $$unsorted $$unsorted $$unsorted)) % 33.89/34.06 (define @t1 () (@var "X" $$unsorted)) % 33.89/34.06 (define @t2 () (tptp.little_set @t1)) % 33.89/34.06 (define @t3 () (@var "Y" $$unsorted)) % 33.89/34.06 (define @t4 () (@list @t1 @t3)) % 33.89/34.06 (define @t5 () (= @t1 @t3)) % 33.89/34.06 (define @t6 () (tptp.f1 @t1 @t3)) % 33.89/34.06 (define @t7 () (tptp.member @t6 @t3)) % 33.89/34.06 (define @t8 () (tptp.member @t6 @t1)) % 33.89/34.06 (define @t9 () (@var "U" $$unsorted)) % 33.89/34.06 (define @t10 () (= @t9 @t3)) % 33.89/34.06 (define @t11 () (= @t9 @t1)) % 33.89/34.06 (define @t12 () (tptp.non_ordered_pair @t1 @t3)) % 33.89/34.06 (define @t13 () (tptp.member @t9 @t12)) % 33.89/34.06 (define @t14 () (not @t13)) % 33.89/34.06 (define @t15 () (or @t14 @t11 @t10)) % 33.89/34.06 (define @t16 () (@list @t9 @t1 @t3)) % 33.89/34.06 (define @t17 () (forall @t16 @t15)) % 33.89/34.06 (define @t18 () (not @t11)) % 33.89/34.06 (define @t19 () (not (tptp.little_set @t9))) % 33.89/34.06 (define @t20 () (or @t13 @t19 @t18)) % 33.89/34.06 (define @t21 () (forall @t16 @t20)) % 33.89/34.06 (define @t22 () (not @t10)) % 33.89/34.06 (define @t23 () (or @t13 @t19 @t22)) % 33.89/34.06 (define @t24 () (forall @t16 @t23)) % 33.89/34.06 (define @t25 () (tptp.singleton_set @t1)) % 33.89/34.06 (define @t26 () (@list @t1)) % 33.89/34.06 (define @t27 () (tptp.ordered_pair @t1 @t3)) % 33.89/34.06 (define @t28 () (tptp.f2 @t1)) % 33.89/34.06 (define @t29 () (tptp.ordered_pair_predicate @t1)) % 33.89/34.06 (define @t30 () (not @t29)) % 33.89/34.06 (define @t31 () (tptp.f3 @t1)) % 33.89/34.06 (define @t32 () (@var "Z" $$unsorted)) % 33.89/34.06 (define @t33 () (not (tptp.little_set @t32))) % 33.89/34.06 (define @t34 () (not (tptp.little_set @t3))) % 33.89/34.06 (define @t35 () (tptp.f4 @t32 @t1)) % 33.89/34.06 (define @t36 () (tptp.member @t32 (tptp.first @t1))) % 33.89/34.06 (define @t37 () (not @t36)) % 33.89/34.06 (define @t38 () (@list @t32 @t1)) % 33.89/34.06 (define @t39 () (tptp.f5 @t32 @t1)) % 33.89/34.06 (define @t40 () (@var "V" $$unsorted)) % 33.89/34.06 (define @t41 () (tptp.ordered_pair @t9 @t40)) % 33.89/34.06 (define @t42 () (not (= @t1 @t41))) % 33.89/34.06 (define @t43 () (not (tptp.little_set @t40))) % 33.89/34.06 (define @t44 () (@list @t32 @t1 @t9 @t40)) % 33.89/34.06 (define @t45 () (tptp.f6 @t32 @t1)) % 33.89/34.06 (define @t46 () (tptp.member @t32 (tptp.second @t1))) % 33.89/34.06 (define @t47 () (not @t46)) % 33.89/34.06 (define @t48 () (tptp.f7 @t32 @t1)) % 33.89/34.06 (define @t49 () (tptp.ordered_pair_predicate @t32)) % 33.89/34.06 (define @t50 () (tptp.member @t32 tptp.estin)) % 33.89/34.06 (define @t51 () (not @t50)) % 33.89/34.06 (define @t52 () (@list @t32)) % 33.89/34.06 (define @t53 () (tptp.second @t32)) % 33.89/34.06 (define @t54 () (tptp.first @t32)) % 33.89/34.06 (define @t55 () (tptp.member @t54 @t53)) % 33.89/34.06 (define @t56 () (not @t49)) % 33.89/34.06 (define @t57 () (tptp.member @t32 @t1)) % 33.89/34.06 (define @t58 () (tptp.member @t32 (tptp.intersection @t1 @t3))) % 33.89/34.06 (define @t59 () (not @t58)) % 33.89/34.06 (define @t60 () (@list @t32 @t1 @t3)) % 33.89/34.06 (define @t61 () (tptp.member @t32 @t3)) % 33.89/34.06 (define @t62 () (not @t61)) % 33.89/34.06 (define @t63 () (not @t57)) % 33.89/34.06 (define @t64 () (tptp.complement @t1)) % 33.89/34.06 (define @t65 () (tptp.member @t32 @t64)) % 33.89/34.06 (define @t66 () (tptp.f8 @t32 @t1)) % 33.89/34.06 (define @t67 () (tptp.member @t32 (tptp.domain_of @t1))) % 33.89/34.06 (define @t68 () (not @t67)) % 33.89/34.06 (define @t69 () (@var "Xp" $$unsorted)) % 33.89/34.06 (define @t70 () (not (tptp.member @t69 @t1))) % 33.89/34.06 (define @t71 () (not (tptp.ordered_pair_predicate @t69))) % 33.89/34.06 (define @t72 () (@list @t32 @t1 @t69)) % 33.89/34.06 (define @t73 () (tptp.member @t32 (tptp.cross_product @t1 @t3))) % 33.89/34.06 (define @t74 () (not @t73)) % 33.89/34.06 (define @t75 () (tptp.member @t54 @t1)) % 33.89/34.06 (define @t76 () (tptp.member @t53 @t3)) % 33.89/34.06 (define @t77 () (tptp.member @t32 (tptp.converse @t1))) % 33.89/34.06 (define @t78 () (not @t77)) % 33.89/34.06 (define @t79 () (tptp.member (tptp.ordered_pair @t53 @t54) @t1)) % 33.89/34.06 (define @t80 () (tptp.f9 @t32 @t1)) % 33.89/34.06 (define @t81 () (tptp.member @t32 (tptp.rotate_right @t1))) % 33.89/34.06 (define @t82 () (not @t81)) % 33.89/34.06 (define @t83 () (tptp.f10 @t32 @t1)) % 33.89/34.06 (define @t84 () (tptp.f11 @t32 @t1)) % 33.89/34.06 (define @t85 () (@var "W" $$unsorted)) % 33.89/34.06 (define @t86 () (not (= @t32 (tptp.ordered_pair @t9 (tptp.ordered_pair @t40 @t85))))) % 33.89/34.06 (define @t87 () (not (tptp.little_set @t85))) % 33.89/34.06 (define @t88 () (@list @t32 @t1 @t9 @t40 @t85)) % 33.89/34.06 (define @t89 () (tptp.f12 @t32 @t1)) % 33.89/34.06 (define @t90 () (tptp.member @t32 (tptp.flip_range_of @t1))) % 33.89/34.06 (define @t91 () (not @t90)) % 33.89/34.06 (define @t92 () (tptp.f13 @t32 @t1)) % 33.89/34.06 (define @t93 () (tptp.f14 @t32 @t1)) % 33.89/34.06 (define @t94 () (tptp.successor @t1)) % 33.89/34.06 (define @t95 () (tptp.f16 @t32 @t1)) % 33.89/34.06 (define @t96 () (tptp.member @t32 (tptp.sigma @t1))) % 33.89/34.06 (define @t97 () (not @t96)) % 33.89/34.06 (define @t98 () (@list @t9)) % 33.89/34.06 (define @t99 () (tptp.member @t9 @t3)) % 33.89/34.06 (define @t100 () (not (tptp.member @t9 @t1))) % 33.89/34.06 (define @t101 () (tptp.subset @t1 @t3)) % 33.89/34.06 (define @t102 () (not @t101)) % 33.89/34.06 (define @t103 () (@list @t1 @t3 @t9)) % 33.89/34.06 (define @t104 () (tptp.f17 @t1 @t3)) % 33.89/34.06 (define @t105 () (tptp.proper_subset @t1 @t3)) % 33.89/34.06 (define @t106 () (not @t105)) % 33.89/34.06 (define @t107 () (tptp.subset @t32 @t1)) % 33.89/34.06 (define @t108 () (tptp.member @t32 (tptp.powerset @t1))) % 33.89/34.06 (define @t109 () (tptp.relation @t32)) % 33.89/34.06 (define @t110 () (tptp.f18 @t32)) % 33.89/34.06 (define @t111 () (tptp.single_valued_set @t1)) % 33.89/34.06 (define @t112 () (tptp.f19 @t1)) % 33.89/34.06 (define @t113 () (tptp.f20 @t1)) % 33.89/34.06 (define @t114 () (tptp.f21 @t1)) % 33.89/34.06 (define @t115 () (@var "Xf" $$unsorted)) % 33.89/34.06 (define @t116 () (tptp.relation @t115)) % 33.89/34.06 (define @t117 () (tptp.function @t115)) % 33.89/34.06 (define @t118 () (not @t117)) % 33.89/34.06 (define @t119 () (@list @t115)) % 33.89/34.06 (define @t120 () (tptp.single_valued_set @t115)) % 33.89/34.06 (define @t121 () (tptp.f22 @t32 @t1 @t115)) % 33.89/34.06 (define @t122 () (tptp.image @t1 @t115)) % 33.89/34.06 (define @t123 () (tptp.member @t32 @t122)) % 33.89/34.06 (define @t124 () (not @t123)) % 33.89/34.06 (define @t125 () (@list @t32 @t1 @t115)) % 33.89/34.06 (define @t126 () (not @t2)) % 33.89/34.06 (define @t127 () (tptp.disjoint @t1 @t3)) % 33.89/34.06 (define @t128 () (tptp.f23 @t1 @t3)) % 33.89/34.06 (define @t129 () (tptp.f24 @t1)) % 33.89/34.06 (define @t130 () (= @t1 tptp.empty_set)) % 33.89/34.06 (define @t131 () (tptp.f26 @t1)) % 33.89/34.06 (define @t132 () (tptp.f27 @t32 @t1)) % 33.89/34.06 (define @t133 () (tptp.member @t32 (tptp.range_of @t1))) % 33.89/34.06 (define @t134 () (not @t133)) % 33.89/34.06 (define @t135 () (tptp.member @t32 tptp.identity_relation)) % 33.89/34.06 (define @t136 () (not @t135)) % 33.89/34.06 (define @t137 () (= @t54 @t53)) % 33.89/34.06 (define @t138 () (tptp.one_to_one_function @t115)) % 33.89/34.06 (define @t139 () (not @t138)) % 33.89/34.06 (define @t140 () (tptp.function (tptp.converse @t115))) % 33.89/34.06 (define @t141 () (tptp.f28 @t32 @t115 @t3)) % 33.89/34.06 (define @t142 () (tptp.member @t32 (tptp.apply @t115 @t3))) % 33.89/34.06 (define @t143 () (not @t142)) % 33.89/34.06 (define @t144 () (@list @t32 @t115 @t3)) % 33.89/34.06 (define @t145 () (@list @t115 @t1 @t3)) % 33.89/34.06 (define @t146 () (tptp.maps @t115 @t1 @t3)) % 33.89/34.06 (define @t147 () (not @t146)) % 33.89/34.06 (define @t148 () (= (tptp.domain_of @t115) @t1)) % 33.89/34.06 (define @t149 () (tptp.subset (tptp.range_of @t115) @t3)) % 33.89/34.06 (define @t150 () (@var "Xs" $$unsorted)) % 33.89/34.06 (define @t151 () (tptp.little_set @t150)) % 33.89/34.06 (define @t152 () (tptp.closed @t150 @t115)) % 33.89/34.06 (define @t153 () (not @t152)) % 33.89/34.06 (define @t154 () (@list @t150 @t115)) % 33.89/34.06 (define @t155 () (tptp.little_set @t115)) % 33.89/34.06 (define @t156 () (tptp.maps @t115 (tptp.cross_product @t150 @t150) @t150)) % 33.89/34.06 (define @t157 () (@var "Xg" $$unsorted)) % 33.89/34.06 (define @t158 () (tptp.f29 @t32 @t115 @t157)) % 33.89/34.06 (define @t159 () (tptp.member @t32 (tptp.compose @t115 @t157))) % 33.89/34.06 (define @t160 () (not @t159)) % 33.89/34.06 (define @t161 () (@list @t32 @t115 @t157)) % 33.89/34.06 (define @t162 () (tptp.f30 @t32 @t115 @t157)) % 33.89/34.06 (define @t163 () (tptp.f31 @t32 @t115 @t157)) % 33.89/34.06 (define @t164 () (@var "Xf1" $$unsorted)) % 33.89/34.06 (define @t165 () (@var "Xs1" $$unsorted)) % 33.89/34.06 (define @t166 () (tptp.closed @t165 @t164)) % 33.89/34.06 (define @t167 () (@var "Xf2" $$unsorted)) % 33.89/34.06 (define @t168 () (@var "Xs2" $$unsorted)) % 33.89/34.06 (define @t169 () (@var "Xh" $$unsorted)) % 33.89/34.06 (define @t170 () (tptp.homomorphism @t169 @t165 @t164 @t168 @t167)) % 33.89/34.06 (define @t171 () (not @t170)) % 33.89/34.06 (define @t172 () (@list @t169 @t165 @t164 @t168 @t167)) % 33.89/34.06 (define @t173 () (tptp.closed @t168 @t167)) % 33.89/34.06 (define @t174 () (tptp.maps @t169 @t165 @t168)) % 33.89/34.06 (define @t175 () (tptp.f32 @t169 @t165 @t164 @t168 @t167)) % 33.89/34.06 (define @t176 () (not @t174)) % 33.89/34.06 (define @t177 () (not @t173)) % 33.89/34.06 (define @t178 () (not @t166)) % 33.89/34.06 (define @t179 () (tptp.f33 @t169 @t165 @t164 @t168 @t167)) % 33.89/34.06 (define @t180 () (tptp.little_set tptp.a)) % 33.89/34.06 (define @t181 () (tptp.little_set tptp.b)) % 33.89/34.06 (define @t182 () (tptp.little_set tptp.c)) % 33.89/34.06 (define @t183 () (tptp.little_set tptp.d)) % 33.89/34.06 (define @t184 () (= tptp.b tptp.d)) % 33.89/34.06 (define @t185 () (not @t184)) % 33.89/34.06 (define @t186 () (tptp.member @t9 (tptp.non_ordered_pair @t1 @t9))) % 33.89/34.06 (define @t187 () (not (= @t9 @t9))) % 33.89/34.06 (define @t188 () (or @t186 @t19 @t187)) % 33.89/34.06 (define @t189 () (@list @t9 @t1)) % 33.89/34.06 (define @t190 () (= @t3 @t9)) % 33.89/34.06 (define @t191 () (not @t190)) % 33.89/34.06 (define @t192 () (or @t191 @t13 @t19 @t191)) % 33.89/34.06 (define @t193 () (@list @t3)) % 33.89/34.06 (define @t194 () (or @t13 @t19 @t191)) % 33.89/34.06 (define @t195 () (forall @t193 @t194)) % 33.89/34.06 (define @t196 () (forall @t189 @t195)) % 33.89/34.06 (define @t197 () (tptp.singleton_set tptp.c)) % 33.89/34.06 (define @t198 () (tptp.non_ordered_pair tptp.c tptp.d)) % 33.89/34.06 (define @t199 () (@list tptp.c tptp.d)) % 33.89/34.06 (define @t200 () (tptp.little_set @t198)) % 33.89/34.06 (define @t201 () (not @t200)) % 33.89/34.06 (define @t202 () (tptp.non_ordered_pair @t197 @t198)) % 33.89/34.06 (define @t203 () (tptp.member @t198 @t202)) % 33.89/34.06 (define @t204 () (or @t203 @t201)) % 33.89/34.06 (define @t205 () (@list false false)) % 33.89/34.06 (define @t206 () (@list tptp.a tptp.b)) % 33.89/34.06 (define @t207 () (tptp.non_ordered_pair tptp.a tptp.b)) % 33.89/34.06 (define @t208 () (tptp.singleton_set tptp.a)) % 33.89/34.06 (define @t209 () (tptp.non_ordered_pair @t208 @t207)) % 33.89/34.06 (define @t210 () (tptp.member @t198 @t209)) % 33.89/34.06 (define @t211 () (= @t207 @t198)) % 33.89/34.06 (define @t212 () (= @t208 @t198)) % 33.89/34.06 (define @t213 () (not @t210)) % 33.89/34.06 (define @t214 () (or @t213 @t212 @t211)) % 33.89/34.06 (define @t215 () (tptp.little_set @t207)) % 33.89/34.06 (define @t216 () (not @t215)) % 33.89/34.06 (define @t217 () (tptp.member @t207 @t209)) % 33.89/34.06 (define @t218 () (or @t217 @t216)) % 33.89/34.06 (define @t219 () (tptp.member @t207 @t202)) % 33.89/34.06 (define @t220 () (not @t219)) % 33.89/34.06 (define @t221 () (or @t220 (= @t197 @t207) (= @t198 @t207))) % 33.89/34.06 (define @t222 () (= @t1 @t9)) % 33.89/34.06 (define @t223 () (forall @t16 (or @t14 @t222 @t190))) % 33.89/34.06 (define @t224 () (= @t207 @t197)) % 33.89/34.06 (define @t225 () (or @t220 @t224 @t211)) % 33.89/34.06 (define @t226 () (@list false)) % 33.89/34.06 (define @t227 () (@list @t223)) % 33.89/34.06 (define @t228 () (tptp.member @t9 (tptp.non_ordered_pair @t9 @t3))) % 33.89/34.06 (define @t229 () (or @t228 @t19 @t187)) % 33.89/34.06 (define @t230 () (@list @t9 @t3)) % 33.89/34.06 (define @t231 () (not @t222)) % 33.89/34.06 (define @t232 () (or @t231 @t13 @t19 @t231)) % 33.89/34.06 (define @t233 () (or @t13 @t19 @t231)) % 33.89/34.06 (define @t234 () (forall @t26 @t233)) % 33.89/34.06 (define @t235 () (forall @t230 @t234)) % 33.89/34.06 (define @t236 () (forall (@list @t9 @t3 @t1) @t233)) % 33.89/34.06 (define @t237 () (not @t182)) % 33.89/34.06 (define @t238 () (tptp.member tptp.c @t198)) % 33.89/34.06 (define @t239 () (or @t238 @t237)) % 33.89/34.06 (define @t240 () (tptp.non_ordered_pair tptp.a tptp.a)) % 33.89/34.06 (define @t241 () (tptp.member tptp.c @t240)) % 33.89/34.06 (define @t242 () (not @t212)) % 33.89/34.06 (define @t243 () (not @t238)) % 33.89/34.06 (define @t244 () (= @t208 @t240)) % 33.89/34.06 (define @t245 () (not @t244)) % 33.89/34.06 (define @t246 () (not @t241)) % 33.89/34.06 (define @t247 () (= true false)) % 33.89/34.06 (define @t248 () (and @t246 @t244 @t212 @t238)) % 33.89/34.06 (define @t249 () (= tptp.a tptp.c)) % 33.89/34.06 (define @t250 () (or @t246 @t249 @t249)) % 33.89/34.06 (define @t251 () (not @t249)) % 33.89/34.06 (define @t252 () (not @t224)) % 33.89/34.06 (define @t253 () (not @t211)) % 33.89/34.06 (define @t254 () (= @t208 @t197)) % 33.89/34.06 (define @t255 () (= false true)) % 33.89/34.06 (define @t256 () (and @t244 @t254 @t224 @t212 @t253)) % 33.89/34.06 (define @t257 () (not @t183)) % 33.89/34.06 (define @t258 () (tptp.member tptp.d @t198)) % 33.89/34.06 (define @t259 () (or @t258 @t257)) % 33.89/34.06 (define @t260 () (tptp.member tptp.d @t207)) % 33.89/34.06 (define @t261 () (not @t258)) % 33.89/34.06 (define @t262 () (not @t260)) % 33.89/34.06 (define @t263 () (and @t262 @t211 @t258)) % 33.89/34.06 (define @t264 () (= tptp.a tptp.d)) % 33.89/34.06 (define @t265 () (or @t262 @t264 @t184)) % 33.89/34.06 (define @t266 () (@list true false false)) % 33.89/34.06 (define @t267 () (tptp.member tptp.b @t198)) % 33.89/34.06 (define @t268 () (not @t267)) % 33.89/34.06 (define @t269 () (or @t268 (= tptp.c tptp.b) (= tptp.d tptp.b))) % 33.89/34.06 (define @t270 () (= tptp.b tptp.c)) % 33.89/34.06 (define @t271 () (or @t268 @t270 @t184)) % 33.89/34.06 (define @t272 () (not @t181)) % 33.89/34.06 (define @t273 () (tptp.member tptp.b @t207)) % 33.89/34.06 (define @t274 () (or @t273 @t272)) % 33.89/34.06 (define @t275 () (and @t273 @t211)) % 33.89/34.06 (define @t276 () (tptp.member @t208 @t202)) % 33.89/34.06 (define @t277 () (not @t276)) % 33.89/34.06 (define @t278 () (or @t277 (= @t197 @t208) (= @t198 @t208))) % 33.89/34.06 (define @t279 () (or @t277 @t254 @t212)) % 33.89/34.06 (define @t280 () (@list tptp.a tptp.a)) % 33.89/34.06 (define @t281 () (tptp.little_set @t208)) % 33.89/34.06 (define @t282 () (not @t281)) % 33.89/34.06 (define @t283 () (tptp.member @t208 @t209)) % 33.89/34.06 (define @t284 () (or @t283 @t282)) % 33.89/34.06 (define @t285 () (tptp.non_ordered_pair tptp.b tptp.b)) % 33.89/34.06 (define @t286 () (tptp.member tptp.a @t285)) % 33.89/34.06 (define @t287 () (not @t286)) % 33.89/34.06 (define @t288 () (= tptp.b tptp.a)) % 33.89/34.06 (define @t289 () (or @t287 @t288 @t288)) % 33.89/34.06 (define @t290 () (= tptp.a tptp.b)) % 33.89/34.06 (define @t291 () (or @t287 @t290 @t290)) % 33.89/34.06 (define @t292 () (and @t264 @t290)) % 33.89/34.06 (define @t293 () (not @t290)) % 33.89/34.06 (define @t294 () (not @t264)) % 33.89/34.06 (define @t295 () (@list true false)) % 33.89/34.06 (define @t296 () (not @t180)) % 33.89/34.06 (define @t297 () (tptp.member tptp.a @t240)) % 33.89/34.06 (define @t298 () (or @t297 @t296)) % 33.89/34.06 (define @t299 () (not @t297)) % 33.89/34.06 (define @t300 () (= @t197 (tptp.non_ordered_pair tptp.c tptp.c))) % 33.89/34.06 (define @t301 () (not @t300)) % 33.89/34.06 (define @t302 () (not @t254)) % 33.89/34.06 (define @t303 () (not @t270)) % 33.89/34.06 (define @t304 () (and @t297 @t244 @t254 @t300 @t270 @t287)) % 33.89/34.06 (define @t305 () (and @t264 @t249 @t270 @t185)) % 33.89/34.06 (assume @p1 (forall @t4 (or (not (tptp.member @t1 @t3)) @t2))) % 33.89/34.06 (assume @p2 (forall @t4 (or (tptp.little_set @t6) @t5))) % 33.89/34.06 (assume @p3 (forall @t4 (or @t8 @t7 @t5))) % 33.89/34.06 (assume @p4 (forall @t4 (or (not @t8) (not @t7) @t5))) % 33.89/34.06 (assume @p5 @t17) % 33.89/34.06 (assume @p6 @t21) % 33.89/34.06 (assume @p7 @t24) % 33.89/34.06 (assume @p8 (forall @t4 (tptp.little_set @t12))) % 33.89/34.06 (assume @p9 (forall @t26 (= @t25 (tptp.non_ordered_pair @t1 @t1)))) % 33.89/34.06 (assume @p10 (forall @t4 (= @t27 (tptp.non_ordered_pair @t25 @t12)))) % 33.89/34.06 (assume @p11 (forall @t26 (or @t30 (tptp.little_set @t28)))) % 33.89/34.06 (assume @p12 (forall @t26 (or @t30 (tptp.little_set @t31)))) % 33.89/34.06 (assume @p13 (forall @t26 (or @t30 (= @t1 (tptp.ordered_pair @t28 @t31))))) % 33.89/34.06 (assume @p14 (forall (@list @t1 @t3 @t32) (or @t29 @t34 @t33 (not (= @t1 (tptp.ordered_pair @t3 @t32)))))) % 33.89/34.06 (assume @p15 (forall @t38 (or @t37 (tptp.little_set @t35)))) % 33.89/34.06 (assume @p16 (forall @t38 (or @t37 (tptp.little_set @t39)))) % 33.89/34.06 (assume @p17 (forall @t38 (or @t37 (= @t1 (tptp.ordered_pair @t35 @t39))))) % 33.89/34.06 (assume @p18 (forall @t38 (or @t37 (tptp.member @t32 @t35)))) % 33.89/34.06 (assume @p19 (forall @t44 (or @t36 @t19 @t43 @t42 (not (tptp.member @t32 @t9))))) % 33.89/34.06 (assume @p20 (forall @t38 (or @t47 (tptp.little_set @t45)))) % 33.89/34.06 (assume @p21 (forall @t38 (or @t47 (tptp.little_set @t48)))) % 33.89/34.06 (assume @p22 (forall @t38 (or @t47 (= @t1 (tptp.ordered_pair @t45 @t48))))) % 33.89/34.06 (assume @p23 (forall @t38 (or @t47 (tptp.member @t32 @t48)))) % 33.89/34.06 (assume @p24 (forall @t44 (or @t46 @t19 @t43 @t42 (not (tptp.member @t32 @t40))))) % 33.89/34.06 (assume @p25 (forall @t52 (or @t51 @t49))) % 33.89/34.06 (assume @p26 (forall @t52 (or @t51 @t55))) % 33.89/34.06 (assume @p27 (forall @t52 (or @t50 @t33 @t56 (not @t55)))) % 33.89/34.06 (assume @p28 (forall @t60 (or @t59 @t57))) % 33.89/34.06 (assume @p29 (forall @t60 (or @t59 @t61))) % 33.89/34.06 (assume @p30 (forall @t60 (or @t58 @t63 @t62))) % 33.89/34.06 (assume @p31 (forall @t38 (or (not @t65) @t63))) % 33.89/34.06 (assume @p32 (forall @t38 (or @t65 @t33 @t57))) % 33.89/34.06 (assume @p33 (forall @t4 (= (tptp.union @t1 @t3) (tptp.complement (tptp.intersection @t64 (tptp.complement @t3)))))) % 33.89/34.06 (assume @p34 (forall @t38 (or @t68 (tptp.ordered_pair_predicate @t66)))) % 33.89/34.06 (assume @p35 (forall @t38 (or @t68 (tptp.member @t66 @t1)))) % 33.89/34.06 (assume @p36 (forall @t38 (or @t68 (= @t32 (tptp.first @t66))))) % 33.89/34.06 (assume @p37 (forall @t72 (or @t67 @t33 @t71 @t70 (not (= @t32 (tptp.first @t69)))))) % 33.89/34.06 (assume @p38 (forall @t60 (or @t74 @t49))) % 33.89/34.06 (assume @p39 (forall @t60 (or @t74 @t75))) % 33.89/34.06 (assume @p40 (forall @t60 (or @t74 @t76))) % 33.89/34.06 (assume @p41 (forall @t60 (or @t73 @t33 @t56 (not @t75) (not @t76)))) % 33.89/34.06 (assume @p42 (forall @t38 (or @t78 @t49))) % 33.89/34.06 (assume @p43 (forall @t38 (or @t78 @t79))) % 33.89/34.06 (assume @p44 (forall @t38 (or @t77 @t33 @t56 (not @t79)))) % 33.89/34.06 (assume @p45 (forall @t38 (or @t82 (tptp.little_set @t80)))) % 33.89/34.06 (assume @p46 (forall @t38 (or @t82 (tptp.little_set @t83)))) % 33.89/34.06 (assume @p47 (forall @t38 (or @t82 (tptp.little_set @t84)))) % 33.89/34.06 (assume @p48 (forall @t38 (or @t82 (= @t32 (tptp.ordered_pair @t80 (tptp.ordered_pair @t83 @t84)))))) % 33.89/34.06 (assume @p49 (forall @t38 (or @t82 (tptp.member (tptp.ordered_pair @t83 (tptp.ordered_pair @t84 @t80)) @t1)))) % 33.89/34.06 (assume @p50 (forall @t88 (or @t81 @t33 @t19 @t43 @t87 @t86 (not (tptp.member (tptp.ordered_pair @t40 (tptp.ordered_pair @t85 @t9)) @t1))))) % 33.89/34.06 (assume @p51 (forall @t38 (or @t91 (tptp.little_set @t89)))) % 33.89/34.06 (assume @p52 (forall @t38 (or @t91 (tptp.little_set @t92)))) % 33.89/34.06 (assume @p53 (forall @t38 (or @t91 (tptp.little_set @t93)))) % 33.89/34.06 (assume @p54 (forall @t38 (or @t91 (= @t32 (tptp.ordered_pair @t89 (tptp.ordered_pair @t92 @t93)))))) % 33.89/34.06 (assume @p55 (forall @t38 (or @t91 (tptp.member (tptp.ordered_pair @t89 (tptp.ordered_pair @t93 @t92)) @t1)))) % 33.89/34.06 (assume @p56 (forall @t88 (or @t90 @t33 @t19 @t43 @t87 @t86 (not (tptp.member (tptp.ordered_pair @t9 (tptp.ordered_pair @t85 @t40)) @t1))))) % 33.89/34.06 (assume @p57 (forall @t26 (= @t94 (tptp.union @t1 @t25)))) % 33.89/34.06 (assume @p58 (forall @t52 (not (tptp.member @t32 tptp.empty_set)))) % 33.89/34.06 (assume @p59 (forall @t52 (or (tptp.member @t32 tptp.universal_set) @t33))) % 33.89/34.06 (assume @p60 (tptp.little_set tptp.infinity)) % 33.89/34.06 (assume @p61 (tptp.member tptp.empty_set tptp.infinity)) % 33.89/34.06 (assume @p62 (forall @t26 (or (not (tptp.member @t1 tptp.infinity)) (tptp.member @t94 tptp.infinity)))) % 33.89/34.06 (assume @p63 (forall @t38 (or @t97 (tptp.member @t95 @t1)))) % 33.89/34.06 (assume @p64 (forall @t38 (or @t97 (tptp.member @t32 @t95)))) % 33.89/34.06 (assume @p65 (forall @t60 (or @t96 (not (tptp.member @t3 @t1)) @t62))) % 33.89/34.06 (assume @p66 (forall @t98 (or @t19 (tptp.little_set (tptp.sigma @t9))))) % 33.89/34.06 (assume @p67 (forall @t103 (or @t102 @t100 @t99))) % 33.89/34.06 (assume @p68 (forall @t4 (or @t101 (tptp.member @t104 @t1)))) % 33.89/34.06 (assume @p69 (forall @t4 (or @t101 (not (tptp.member @t104 @t3))))) % 33.89/34.06 (assume @p70 (forall @t4 (or @t106 @t101))) % 33.89/34.06 (assume @p71 (forall @t4 (or @t106 (not @t5)))) % 33.89/34.06 (assume @p72 (forall @t4 (or @t105 @t102 @t5))) % 33.89/34.06 (assume @p73 (forall @t38 (or (not @t108) @t107))) % 33.89/34.06 (assume @p74 (forall @t38 (or @t108 @t33 (not @t107)))) % 33.89/34.06 (assume @p75 (forall @t98 (or @t19 (tptp.little_set (tptp.powerset @t9))))) % 33.89/34.06 (assume @p76 (forall @t38 (or (not @t109) (not (tptp.member @t1 @t32)) @t29))) % 33.89/34.06 (assume @p77 (forall @t52 (or @t109 (tptp.member @t110 @t32)))) % 33.89/34.06 (assume @p78 (forall @t52 (or @t109 (not (tptp.ordered_pair_predicate @t110))))) % 33.89/34.06 (assume @p79 (forall (@list @t1 @t9 @t40 @t85) (or (not @t111) @t19 @t43 @t87 (not (tptp.member @t41 @t1)) (not (tptp.member (tptp.ordered_pair @t9 @t85) @t1)) (= @t40 @t85)))) % 33.89/34.06 (assume @p80 (forall @t26 (or @t111 (tptp.little_set @t112)))) % 33.89/34.06 (assume @p81 (forall @t26 (or @t111 (tptp.little_set @t113)))) % 33.89/34.06 (assume @p82 (forall @t26 (or @t111 (tptp.little_set @t114)))) % 33.89/34.06 (assume @p83 (forall @t26 (or @t111 (tptp.member (tptp.ordered_pair @t112 @t113) @t1)))) % 33.89/34.06 (assume @p84 (forall @t26 (or @t111 (tptp.member (tptp.ordered_pair @t112 @t114) @t1)))) % 33.89/34.06 (assume @p85 (forall @t26 (or @t111 (not (= @t113 @t114))))) % 33.89/34.06 (assume @p86 (forall @t119 (or @t118 @t116))) % 33.89/34.06 (assume @p87 (forall @t119 (or @t118 @t120))) % 33.89/34.06 (assume @p88 (forall @t119 (or @t117 (not @t116) (not @t120)))) % 33.89/34.06 (assume @p89 (forall @t125 (or @t124 (tptp.ordered_pair_predicate @t121)))) % 33.89/34.06 (assume @p90 (forall @t125 (or @t124 (tptp.member @t121 @t115)))) % 33.89/34.06 (assume @p91 (forall @t125 (or @t124 (tptp.member (tptp.first @t121) @t1)))) % 33.89/34.06 (assume @p92 (forall @t125 (or @t124 (= (tptp.second @t121) @t32)))) % 33.89/34.06 (assume @p93 (forall (@list @t32 @t1 @t115 @t3) (or @t123 @t33 (not (tptp.ordered_pair_predicate @t3)) (not (tptp.member @t3 @t115)) (not (tptp.member (tptp.first @t3) @t1)) (not (= (tptp.second @t3) @t32))))) % 33.89/34.06 (assume @p94 (forall (@list @t1 @t115) (or @t126 @t118 (tptp.little_set @t122)))) % 33.89/34.06 (assume @p95 (forall @t103 (or (not @t127) @t100 (not @t99)))) % 33.89/34.06 (assume @p96 (forall @t4 (or @t127 (tptp.member @t128 @t1)))) % 33.89/34.06 (assume @p97 (forall @t4 (or @t127 (tptp.member @t128 @t3)))) % 33.89/34.06 (assume @p98 (forall @t26 (or @t130 (tptp.member @t129 @t1)))) % 33.89/34.06 (assume @p99 (forall @t26 (or @t130 (tptp.disjoint @t129 @t1)))) % 33.89/34.06 (assume @p100 (tptp.function tptp.f25)) % 33.89/34.06 (assume @p101 (forall @t26 (or @t126 @t130 (tptp.member @t131 @t1)))) % 33.89/34.06 (assume @p102 (forall @t26 (or @t126 @t130 (tptp.member (tptp.ordered_pair @t1 @t131) tptp.f25)))) % 33.89/34.06 (assume @p103 (forall @t38 (or @t134 (tptp.ordered_pair_predicate @t132)))) % 33.89/34.06 (assume @p104 (forall @t38 (or @t134 (tptp.member @t132 @t1)))) % 33.89/34.06 (assume @p105 (forall @t38 (or @t134 (= @t32 (tptp.second @t132))))) % 33.89/34.06 (assume @p106 (forall @t72 (or @t133 @t33 @t71 @t70 (not (= @t32 (tptp.second @t69)))))) % 33.89/34.06 (assume @p107 (forall @t52 (or @t136 @t49))) % 33.89/34.06 (assume @p108 (forall @t52 (or @t136 @t137))) % 33.89/34.06 (assume @p109 (forall @t52 (or @t135 @t33 @t56 (not @t137)))) % 33.89/34.06 (assume @p110 (forall @t4 (= (tptp.restrict @t1 @t3) (tptp.intersection @t1 (tptp.cross_product @t3 tptp.universal_set))))) % 33.89/34.06 (assume @p111 (forall @t119 (or @t139 @t117))) % 33.89/34.06 (assume @p112 (forall @t119 (or @t139 @t140))) % 33.89/34.06 (assume @p113 (forall @t119 (or @t138 @t118 (not @t140)))) % 33.89/34.06 (assume @p114 (forall @t144 (or @t143 (tptp.ordered_pair_predicate @t141)))) % 33.89/34.06 (assume @p115 (forall @t144 (or @t143 (tptp.member @t141 @t115)))) % 33.89/34.06 (assume @p116 (forall @t144 (or @t143 (= (tptp.first @t141) @t3)))) % 33.89/34.06 (assume @p117 (forall @t144 (or @t143 (tptp.member @t32 (tptp.second @t141))))) % 33.89/34.06 (assume @p118 (forall (@list @t32 @t115 @t3 @t85) (or @t142 (not (tptp.ordered_pair_predicate @t85)) (not (tptp.member @t85 @t115)) (not (= (tptp.first @t85) @t3)) (not (tptp.member @t32 (tptp.second @t85)))))) % 33.89/34.06 (assume @p119 (forall @t145 (= (tptp.apply_to_two_arguments @t115 @t1 @t3) (tptp.apply @t115 @t27)))) % 33.89/34.06 (assume @p120 (forall @t145 (or @t147 @t117))) % 33.89/34.06 (assume @p121 (forall @t145 (or @t147 @t148))) % 33.89/34.06 (assume @p122 (forall @t145 (or @t147 @t149))) % 33.89/34.06 (assume @p123 (forall @t145 (or @t146 @t118 (not @t148) (not @t149)))) % 33.89/34.06 (assume @p124 (forall @t154 (or @t153 @t151))) % 33.89/34.06 (assume @p125 (forall @t154 (or @t153 @t155))) % 33.89/34.06 (assume @p126 (forall @t154 (or @t153 @t156))) % 33.89/34.06 (assume @p127 (forall @t154 (or @t152 (not @t151) (not @t155) (not @t156)))) % 33.89/34.06 (assume @p128 (forall @t161 (or @t160 (tptp.little_set @t158)))) % 33.89/34.06 (assume @p129 (forall @t161 (or @t160 (tptp.little_set @t162)))) % 33.89/34.06 (assume @p130 (forall @t161 (or @t160 (tptp.little_set @t163)))) % 33.89/34.06 (assume @p131 (forall @t161 (or @t160 (= @t32 (tptp.ordered_pair @t158 @t162))))) % 33.89/34.06 (assume @p132 (forall @t161 (or @t160 (tptp.member (tptp.ordered_pair @t158 @t163) @t115)))) % 33.89/34.06 (assume @p133 (forall @t161 (or @t160 (tptp.member (tptp.ordered_pair @t163 @t162) @t157)))) % 33.89/34.06 (assume @p134 (forall (@list @t32 @t115 @t157 @t1 @t3 @t85) (or @t159 @t33 @t126 @t34 @t87 (not (= @t32 @t27)) (not (tptp.member (tptp.ordered_pair @t1 @t85) @t115)) (not (tptp.member (tptp.ordered_pair @t85 @t3) @t157))))) % 33.89/34.06 (assume @p135 (forall @t172 (or @t171 @t166))) % 33.89/34.06 (assume @p136 (forall @t172 (or @t171 @t173))) % 33.89/34.06 (assume @p137 (forall @t172 (or @t171 @t174))) % 33.89/34.06 (assume @p138 (forall (@list @t169 @t165 @t164 @t168 @t167 @t1 @t3) (or @t171 (not (tptp.member @t1 @t165)) (not (tptp.member @t3 @t165)) (= (tptp.apply @t169 (tptp.apply_to_two_arguments @t164 @t1 @t3)) (tptp.apply_to_two_arguments @t167 (tptp.apply @t169 @t1) (tptp.apply @t169 @t3)))))) % 33.89/34.06 (assume @p139 (forall @t172 (or @t170 @t178 @t177 @t176 (tptp.member @t175 @t165)))) % 33.89/34.06 (assume @p140 (forall @t172 (or @t170 @t178 @t177 @t176 (tptp.member @t179 @t165)))) % 33.89/34.06 (assume @p141 (forall @t172 (or @t170 @t178 @t177 @t176 (not (= (tptp.apply @t169 (tptp.apply_to_two_arguments @t164 @t175 @t179)) (tptp.apply_to_two_arguments @t167 (tptp.apply @t169 @t175) (tptp.apply @t169 @t179))))))) % 33.89/34.06 (assume @p142 @t180) % 33.89/34.06 (assume @p143 @t181) % 33.89/34.06 (assume @p144 @t182) % 33.89/34.06 (assume @p145 @t183) % 33.89/34.06 (assume @p146 (= (tptp.ordered_pair tptp.a tptp.b) (tptp.ordered_pair tptp.c tptp.d))) % 33.89/34.06 (assume @p147 @t185) % 33.89/34.06 (step @p148 :rule eq-symm :args (@t9 @t3)) % 33.89/34.06 (step @p149 :rule eq-symm :args (@t9 @t1)) % 33.89/34.06 (step @p150 :rule refl :args (@t14)) % 33.89/34.06 (step @p151 :rule nary_cong :premises (@p150 @p149 @p148) :args (@t15)) % 33.89/34.06 (step @p152 :rule cong :premises (@p151) :args (@t17)) % 33.89/34.06 (step @p153 :rule eq_resolve :premises (@p5 @p152)) % 33.89/34.06 (step @p154 :rule instantiate :premises (@p153) :args ((@list tptp.d tptp.a tptp.b))) % 33.89/34.06 (step @p155 :rule aci_norm :args ((= (or @t186 @t19 false) (or @t186 @t19)))) % 33.89/34.06 (step @p156 :rule evaluate :args ((not true))) % 33.89/34.06 (step @p157 :rule eq-refl :args (@t9)) % 33.89/34.06 (step @p158 :rule cong :premises (@p157) :args (@t187)) % 33.89/34.06 (step @p159 :rule trans :premises (@p158 @p156)) % 33.89/34.06 (step @p160 :rule refl :args (@t19)) % 33.89/34.06 (step @p161 :rule refl :args (@t186)) % 33.89/34.06 (step @p162 :rule nary_cong :premises (@p161 @p160 @p159) :args (@t188)) % 33.89/34.06 (step @p163 :rule trans :premises (@p162 @p155)) % 33.89/34.06 (step @p164 :rule cong :premises (@p163) :args ((forall @t189 @t188))) % 33.89/34.06 (step @p165 :rule quant-var-elim-eq :args ((= (forall @t193 @t192) @t188))) % 33.89/34.06 (step @p166 :rule aci_norm :args ((= @t194 @t192))) % 33.89/34.06 (step @p167 :rule cong :premises (@p166) :args (@t195)) % 33.89/34.06 (step @p168 :rule trans :premises (@p167 @p165)) % 33.89/34.06 (step @p169 :rule cong :premises (@p168) :args (@t196)) % 33.89/34.06 (step @p170 :rule quant-merge-prenex :args ((= @t196 (forall @t16 @t194)))) % 33.89/34.06 (step @p171 :rule symm :premises (@p170)) % 33.89/34.06 (step @p172 :rule trans :premises (@p171 @p169)) % 33.89/34.06 (step @p173 :rule trans :premises (@p172 @p164)) % 33.89/34.06 (step @p174 :rule cong :premises (@p148) :args (@t22)) % 33.89/34.06 (step @p175 :rule refl :args (@t13)) % 33.89/34.06 (step @p176 :rule nary_cong :premises (@p175 @p160 @p174) :args (@t23)) % 33.89/34.06 (step @p177 :rule cong :premises (@p176) :args (@t24)) % 33.89/34.06 (step @p178 :rule trans :premises (@p177 @p173)) % 33.89/34.06 (step @p179 :rule eq_resolve :premises (@p7 @p178)) % 33.89/34.06 (step @p180 :rule instantiate :premises (@p179) :args ((@list @t198 @t197))) % 33.89/34.06 (step @p181 :rule instantiate :premises (@p8) :args (@t199)) % 33.89/34.06 (step @p182 :rule cnf_or_pos :args (@t204)) % 33.89/34.06 (step @p183 :rule reordering :premises (@p182) :args ((or @t203 @t201 (not @t204)))) % 33.89/34.06 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p180) :args (@t203 @t205 (@list @t200 @t204))) % 33.89/34.06 (step @p185 :rule true_intro :premises (@p184)) % 33.89/34.06 (step @p186 :rule instantiate :premises (@p10) :args (@t199)) % 33.89/34.06 (step @p187 :rule instantiate :premises (@p10) :args (@t206)) % 33.89/34.06 (step @p188 :rule symm :premises (@p187)) % 33.89/34.06 (step @p189 :rule trans :premises (@p188 @p146 @p186)) % 33.89/34.06 (step @p190 :rule refl :args (@t198)) % 33.89/34.06 (step @p191 :rule cong :premises (@p190 @p189) :args (@t210)) % 33.89/34.06 (step @p192 :rule trans :premises (@p191 @p185)) % 33.89/34.06 (step @p193 :rule true_elim :premises (@p192)) % 33.89/34.06 (step @p194 :rule instantiate :premises (@p153) :args ((@list @t198 @t208 @t207))) % 33.89/34.06 (step @p195 :rule cnf_or_pos :args (@t214)) % 33.89/34.06 (step @p196 :rule reordering :premises (@p195) :args ((or @t213 @t212 @t211 (not @t214)))) % 33.89/34.06 (step @p197 :rule instantiate :premises (@p179) :args ((@list @t207 @t208))) % 33.89/34.06 (step @p198 :rule instantiate :premises (@p8) :args (@t206)) % 33.89/34.06 (step @p199 :rule cnf_or_pos :args (@t218)) % 33.89/34.06 (step @p200 :rule reordering :premises (@p199) :args ((or @t217 @t216 (not @t218)))) % 33.89/34.06 (step @p201 :rule chain_m_resolution :premises (@p200 @p198 @p197) :args (@t217 @t205 (@list @t215 @t218))) % 33.89/34.06 (step @p202 :rule true_intro :premises (@p201)) % 33.89/34.06 (step @p203 :rule symm :premises (@p146)) % 33.89/34.06 (step @p204 :rule symm :premises (@p186)) % 33.89/34.06 (step @p205 :rule trans :premises (@p204 @p203 @p187)) % 33.89/34.06 (step @p206 :rule refl :args (@t207)) % 33.89/34.06 (step @p207 :rule cong :premises (@p206 @p205) :args (@t219)) % 33.89/34.06 (step @p208 :rule trans :premises (@p207 @p202)) % 33.89/34.06 (step @p209 :rule true_elim :premises (@p208)) % 33.89/34.06 (step @p210 :rule eq-symm :args (@t198 @t207)) % 33.89/34.06 (step @p211 :rule eq-symm :args (@t197 @t207)) % 33.89/34.06 (step @p212 :rule refl :args (@t220)) % 33.89/34.06 (step @p213 :rule nary_cong :premises (@p212 @p211 @p210) :args (@t221)) % 33.89/34.06 (step @p214 :rule refl :args (@t223)) % 33.89/34.06 (step @p215 :rule cong :premises (@p214 @p213) :args ((=> @t223 @t221))) % 33.89/34.06 (assume-push @p576 @t223) % 33.89/34.06 (step @p217 :rule instantiate :premises (@p153) :args ((@list @t207 @t197 @t198))) % 33.89/34.06 (step-pop @p577 :rule scope :premises (@p217)) % 33.89/34.06 (step @p218 :rule process_scope :premises (@p577) :args (@t221)) % 33.89/34.06 (step @p220 :rule eq_resolve :premises (@p218 @p215)) % 33.89/34.06 (step @p221 :rule implies_elim :premises (@p220)) % 33.89/34.06 (step @p222 :rule chain_m_resolution :premises (@p221 @p153) :args (@t225 @t226 @t227)) % 33.89/34.06 (step @p223 :rule cnf_or_pos :args (@t225)) % 33.89/34.06 (step @p224 :rule reordering :premises (@p223) :args ((or @t211 @t220 @t224 (not @t225)))) % 33.89/34.06 (step @p225 :rule instantiate :premises (@p9) :args ((@list tptp.a))) % 33.89/34.06 (step @p226 :rule aci_norm :args ((= (or @t228 @t19 false) (or @t228 @t19)))) % 33.89/34.06 (step @p227 :rule refl :args (@t228)) % 33.89/34.06 (step @p228 :rule nary_cong :premises (@p227 @p160 @p159) :args (@t229)) % 33.89/34.06 (step @p229 :rule trans :premises (@p228 @p226)) % 33.89/34.06 (step @p230 :rule cong :premises (@p229) :args ((forall @t230 @t229))) % 33.89/34.06 (step @p231 :rule quant-var-elim-eq :args ((= (forall @t26 @t232) @t229))) % 33.89/34.06 (step @p232 :rule aci_norm :args ((= @t233 @t232))) % 33.89/34.06 (step @p233 :rule cong :premises (@p232) :args (@t234)) % 33.89/34.06 (step @p234 :rule trans :premises (@p233 @p231)) % 33.89/34.06 (step @p235 :rule cong :premises (@p234) :args (@t235)) % 33.89/34.06 (step @p236 :rule quant-merge-prenex :args ((= @t235 @t236))) % 33.89/34.06 (step @p237 :rule symm :premises (@p236)) % 33.89/34.06 (step @p238 :rule quant_var_reordering :args ((= (forall @t16 @t233) @t236))) % 33.89/34.06 (step @p239 :rule trans :premises (@p238 @p237 @p235)) % 33.89/34.06 (step @p240 :rule trans :premises (@p239 @p230)) % 33.89/34.06 (step @p241 :rule cong :premises (@p149) :args (@t18)) % 33.89/34.06 (step @p242 :rule nary_cong :premises (@p175 @p160 @p241) :args (@t20)) % 33.89/34.06 (step @p243 :rule cong :premises (@p242) :args (@t21)) % 33.89/34.06 (step @p244 :rule trans :premises (@p243 @p240)) % 33.89/34.06 (step @p245 :rule eq_resolve :premises (@p6 @p244)) % 33.89/34.06 (step @p246 :rule instantiate :premises (@p245) :args (@t199)) % 33.89/34.06 (step @p247 :rule cnf_or_pos :args (@t239)) % 33.89/34.06 (step @p248 :rule reordering :premises (@p247) :args ((or @t237 @t238 (not @t239)))) % 33.89/34.06 (step @p249 :rule chain_m_resolution :premises (@p248 @p144 @p246) :args (@t238 @t205 (@list @t182 @t239))) % 33.89/34.06 (step @p250 :rule bool-double-not-elim :args (@t241)) % 33.89/34.06 (step @p251 :rule refl :args (@t242)) % 33.89/34.06 (step @p252 :rule refl :args (@t243)) % 33.89/34.06 (step @p253 :rule refl :args (@t245)) % 33.89/34.06 (step @p254 :rule nary_cong :premises (@p253 @p252 @p251 @p250) :args ((or @t245 @t243 @t242 (not @t246)))) % 33.89/34.06 (assume-push @p578 @t246) % 33.89/34.06 (assume-push @p579 @t244) % 33.89/34.06 (assume-push @p580 @t212) % 33.89/34.06 (assume-push @p581 @t238) % 33.89/34.06 (step @p259 :rule evaluate :args (@t247)) % 33.89/34.06 (step @p260 :rule false_intro :premises (@p578)) % 33.89/34.06 (step @p261 :rule symm :premises (@p580)) % 33.89/34.06 (step @p262 :rule trans :premises (@p261 @p225)) % 33.89/34.06 (step @p263 :rule refl :args (tptp.c)) % 33.89/34.06 (step @p264 :rule cong :premises (@p263 @p262) :args (@t238)) % 33.89/34.06 (step @p265 :rule true_intro :premises (@p249)) % 33.89/34.06 (step @p266 :rule symm :premises (@p265)) % 33.89/34.06 (step @p267 :rule trans :premises (@p266 @p264 @p260)) % 33.89/34.06 (step @p268 false :rule eq_resolve :premises (@p267 @p259)) % 33.89/34.06 (step-pop @p582 :rule scope :premises (@p268)) % 33.89/34.06 (step-pop @p583 :rule scope :premises (@p582)) % 33.89/34.06 (step-pop @p584 :rule scope :premises (@p583)) % 33.89/34.06 (step-pop @p585 :rule scope :premises (@p584)) % 33.89/34.06 (step @p269 :rule process_scope :premises (@p585) :args (false)) % 33.89/34.06 (assume-push @p586 @t244) % 33.89/34.06 (assume-push @p587 @t238) % 33.89/34.06 (assume-push @p588 @t212) % 33.89/34.06 (assume-push @p589 @t246) % 33.89/34.06 (step @p278 :rule and_intro :premises (@p589 @p225 @p588 @p249)) % 33.89/34.06 (step-pop @p590 :rule scope :premises (@p278)) % 33.89/34.06 (step-pop @p591 :rule scope :premises (@p590)) % 33.89/34.06 (step-pop @p592 :rule scope :premises (@p591)) % 33.89/34.06 (step-pop @p593 :rule scope :premises (@p592)) % 33.89/34.06 (step @p279 :rule process_scope :premises (@p593) :args (@t248)) % 33.89/34.06 (step @p284 :rule implies_elim :premises (@p279)) % 33.89/34.06 (step @p285 :rule resolution :premises (@p284 @p269) :args (true @t248)) % 33.89/34.06 (step @p286 :rule not_and :premises (@p285)) % 33.89/34.06 (step @p287 :rule eq_resolve :premises (@p286 @p254)) % 33.89/34.06 (step @p288 :rule instantiate :premises (@p153) :args ((@list tptp.c tptp.a tptp.a))) % 33.89/34.06 (step @p289 :rule cnf_or_pos :args (@t250)) % 33.89/34.06 (step @p290 :rule factoring :premises (@p289)) % 33.89/34.06 (step @p291 :rule reordering :premises (@p290) :args ((or @t249 @t246 (not @t250)))) % 33.89/34.06 (step @p292 :rule refl :args (@t251)) % 33.89/34.06 (step @p293 :rule refl :args (@t252)) % 33.89/34.06 (step @p294 :rule bool-double-not-elim :args (@t211)) % 33.89/34.06 (step @p295 :rule nary_cong :premises (@p253 @p251 @p294 @p293 @p292) :args ((or @t245 @t242 (not @t253) @t252 @t251))) % 33.89/34.06 (assume-push @p594 @t244) % 33.89/34.06 (assume-push @p595 @t254) % 33.89/34.06 (assume-push @p596 @t224) % 33.89/34.06 (assume-push @p597 @t212) % 33.89/34.06 (assume-push @p598 @t253) % 33.89/34.06 (step @p301 :rule evaluate :args (@t255)) % 33.89/34.06 (step @p302 :rule symm :premises (@p597)) % 33.89/34.06 (step @p303 :rule trans :premises (@p302 @p225)) % 33.89/34.06 (step @p304 :rule symm :premises (@p303)) % 33.89/34.06 (step @p305 :rule symm :premises (@p595)) % 33.89/34.06 (step @p306 :rule trans :premises (@p596 @p305)) % 33.89/34.06 (step @p307 :rule trans :premises (@p306 @p225 @p304)) % 33.89/34.06 (step @p308 :rule true_intro :premises (@p307)) % 33.89/34.06 (step @p309 :rule false_intro :premises (@p598)) % 33.89/34.06 (step @p310 :rule symm :premises (@p309)) % 33.89/34.06 (step @p311 :rule trans :premises (@p310 @p308)) % 33.89/34.06 (step @p312 false :rule eq_resolve :premises (@p311 @p301)) % 33.89/34.06 (step-pop @p599 :rule scope :premises (@p312)) % 33.89/34.06 (step-pop @p600 :rule scope :premises (@p599)) % 33.89/34.06 (step-pop @p601 :rule scope :premises (@p600)) % 33.89/34.06 (step-pop @p602 :rule scope :premises (@p601)) % 33.89/34.06 (step-pop @p603 :rule scope :premises (@p602)) % 33.89/34.06 (step @p313 :rule process_scope :premises (@p603) :args (false)) % 33.89/34.06 (assume-push @p604 @t244) % 33.89/34.06 (assume-push @p605 @t212) % 33.89/34.06 (assume-push @p606 @t253) % 33.89/34.06 (assume-push @p607 @t224) % 33.89/34.06 (assume-push @p608 @t249) % 33.89/34.06 (assume-push @p609 @t249) % 33.89/34.06 (step @p325 :rule cong :premises (@p608) :args (@t208)) % 33.89/34.06 (step-pop @p610 :rule scope :premises (@p325)) % 33.89/34.06 (step @p326 :rule process_scope :premises (@p610) :args (@t254)) % 33.89/34.06 (step @p328 :rule 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@t266 (@list @t254 @t276 @t279))) % 33.89/34.06 (step @p539 :rule chain_m_resolution :premises (@p287 @p225 @p249 @p538) :args (@t241 (@list false false false) (@list @t244 @t238 @t212))) % 33.89/34.06 (step @p540 :rule chain_m_resolution :premises (@p291 @p539 @p288) :args (@t249 @t205 (@list @t241 @t250))) % 33.89/34.06 (step @p541 :rule refl :args (@t294)) % 33.89/34.06 (step @p542 :rule bool-double-not-elim :args (@t184)) % 33.89/34.06 (step @p543 :rule nary_cong :premises (@p542 @p541 @p491 @p292) :args ((or (not @t185) @t294 @t303 @t251))) % 33.89/34.06 (assume-push @p674 @t264) % 33.89/34.06 (assume-push @p675 @t249) % 33.89/34.06 (assume-push @p676 @t270) % 33.89/34.06 (assume-push @p677 @t185) % 33.89/34.06 (step @p301 :rule evaluate :args (@t255)) % 33.89/34.06 (step @p548 :rule symm :premises (@p675)) % 33.89/34.06 (step @p549 :rule trans :premises (@p676 @p548)) % 33.89/34.06 (step @p550 :rule trans :premises (@p549 @p674)) % 33.89/34.06 (step @p551 :rule true_intro :premises (@p550)) % 33.89/34.06 (step @p552 :rule false_intro :premises (@p147)) % 33.89/34.06 (step @p553 :rule symm :premises (@p552)) % 33.89/34.06 (step @p554 :rule trans :premises (@p553 @p551)) % 33.89/34.06 (step @p555 false :rule eq_resolve :premises (@p554 @p301)) % 33.89/34.06 (step-pop @p678 :rule scope :premises (@p555)) % 33.89/34.06 (step-pop @p679 :rule scope :premises (@p678)) % 33.89/34.06 (step-pop @p680 :rule scope :premises (@p679)) % 33.89/34.06 (step-pop @p681 :rule scope :premises (@p680)) % 33.89/34.06 (step @p556 :rule process_scope :premises (@p681) :args (false)) % 33.89/34.06 (assume-push @p682 @t185) % 33.89/34.06 (assume-push @p683 @t264) % 33.89/34.06 (assume-push @p684 @t270) % 33.89/34.06 (assume-push @p685 @t249) % 33.89/34.06 (step @p565 :rule and_intro :premises (@p683 @p685 @p684 @p147)) % 33.89/34.06 (step-pop @p686 :rule scope :premises (@p565)) % 33.89/34.06 (step-pop @p687 :rule scope :premises (@p686)) % 33.89/34.06 (step-pop @p688 :rule scope :premises (@p687)) % 33.89/34.06 (step-pop @p689 :rule scope :premises (@p688)) % 33.89/34.06 (step @p566 :rule process_scope :premises (@p689) :args (@t305)) % 33.89/34.06 (step @p571 :rule implies_elim :premises (@p566)) % 33.89/34.06 (step @p572 :rule resolution :premises (@p571 @p556) :args (true @t305)) % 33.89/34.06 (step @p573 :rule not_and :premises (@p572)) % 33.89/34.06 (step @p574 :rule eq_resolve :premises (@p573 @p543)) % 33.89/34.06 (step @p575 false :rule chain_m_resolution :premises (@p574 @p540 @p421 @p380 @p147) :args (false (@list false false false true) (@list @t249 @t270 @t264 @t184))) % 33.89/34.06 ) % 33.89/34.06 % SZS output end Proof % 33.89/34.06 % cvc5 exiting %------------------------------------------------------------------------------