%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET028-3 : 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 : n009.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:47:03 AM UTC 2026 % Result : Unsatisfiable 4.86s 5.07s % Output : Proof 4.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET028-3 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n009.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 14:42:44 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 4.86/5.07 % SZS status Unsatisfiable % 4.86/5.07 % SZS output start Proof % 4.86/5.08 ( % 4.86/5.08 (declare-sort $$unsorted 0) % 4.86/5.08 (declare-const tptp.f32 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.f31 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.f29 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.closed (-> $$unsorted $$unsorted Bool)) % 4.86/5.08 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 4.86/5.08 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.f28 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.apply_to_two_arguments (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.f7 (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 4.86/5.08 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.a_function $$unsorted) % 4.86/5.08 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.element $$unsorted) % 4.86/5.08 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.single_valued_set (-> $$unsorted Bool)) % 4.86/5.08 (declare-const tptp.f25 $$unsorted) % 4.86/5.08 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.infinity $$unsorted) % 4.86/5.08 (declare-const tptp.rotate_right (-> $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.f24 (-> $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.f2 (-> $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 4.86/5.08 (declare-const tptp.f30 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.f5 (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 4.86/5.08 (declare-const tptp.non_ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.estin $$unsorted) % 4.86/5.08 (declare-const tptp.singleton_set (-> $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.f26 (-> $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.flip_range_of (-> $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.f11 (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.little_set (-> $$unsorted Bool)) % 4.86/5.08 (declare-const tptp.f3 (-> $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.f12 (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.relation (-> $$unsorted Bool)) % 4.86/5.08 (declare-const tptp.ordered_pair_predicate (-> $$unsorted Bool)) % 4.86/5.08 (declare-const tptp.f4 (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.f20 (-> $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.f18 (-> $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.f14 (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.f22 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.empty_set $$unsorted) % 4.86/5.08 (declare-const tptp.universal_set $$unsorted) % 4.86/5.08 (declare-const tptp.f16 (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.sigma (-> $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.one_to_one_function (-> $$unsorted Bool)) % 4.86/5.08 (declare-const tptp.function (-> $$unsorted Bool)) % 4.86/5.08 (declare-const tptp.f17 (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.f13 (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.f33 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 4.86/5.08 (declare-const tptp.f19 (-> $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.identity_relation $$unsorted) % 4.86/5.08 (declare-const tptp.f21 (-> $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 4.86/5.08 (declare-const tptp.f23 (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (declare-const tptp.f27 (-> $$unsorted $$unsorted $$unsorted)) % 4.86/5.08 (define @t1 () (@var "X" $$unsorted)) % 4.86/5.08 (define @t2 () (tptp.little_set @t1)) % 4.86/5.08 (define @t3 () (@var "Y" $$unsorted)) % 4.86/5.08 (define @t4 () (@list @t1 @t3)) % 4.86/5.08 (define @t5 () (= @t1 @t3)) % 4.86/5.08 (define @t6 () (tptp.f1 @t1 @t3)) % 4.86/5.08 (define @t7 () (tptp.member @t6 @t3)) % 4.86/5.08 (define @t8 () (tptp.member @t6 @t1)) % 4.86/5.08 (define @t9 () (@var "U" $$unsorted)) % 4.86/5.08 (define @t10 () (= @t9 @t3)) % 4.86/5.08 (define @t11 () (= @t9 @t1)) % 4.86/5.08 (define @t12 () (tptp.non_ordered_pair @t1 @t3)) % 4.86/5.08 (define @t13 () (tptp.member @t9 @t12)) % 4.86/5.08 (define @t14 () (@list @t9 @t1 @t3)) % 4.86/5.08 (define @t15 () (not (tptp.little_set @t9))) % 4.86/5.08 (define @t16 () (tptp.singleton_set @t1)) % 4.86/5.08 (define @t17 () (@list @t1)) % 4.86/5.08 (define @t18 () (tptp.ordered_pair @t1 @t3)) % 4.86/5.08 (define @t19 () (tptp.f2 @t1)) % 4.86/5.08 (define @t20 () (tptp.ordered_pair_predicate @t1)) % 4.86/5.08 (define @t21 () (not @t20)) % 4.86/5.08 (define @t22 () (tptp.f3 @t1)) % 4.86/5.08 (define @t23 () (@var "Z" $$unsorted)) % 4.86/5.08 (define @t24 () (not (tptp.little_set @t23))) % 4.86/5.08 (define @t25 () (not (tptp.little_set @t3))) % 4.86/5.08 (define @t26 () (@list @t1 @t3 @t23)) % 4.86/5.08 (define @t27 () (tptp.f4 @t23 @t1)) % 4.86/5.08 (define @t28 () (tptp.first @t1)) % 4.86/5.08 (define @t29 () (tptp.member @t23 @t28)) % 4.86/5.08 (define @t30 () (not @t29)) % 4.86/5.08 (define @t31 () (@list @t23 @t1)) % 4.86/5.08 (define @t32 () (tptp.f5 @t23 @t1)) % 4.86/5.08 (define @t33 () (@var "V" $$unsorted)) % 4.86/5.08 (define @t34 () (tptp.ordered_pair @t9 @t33)) % 4.86/5.08 (define @t35 () (not (= @t1 @t34))) % 4.86/5.08 (define @t36 () (not (tptp.little_set @t33))) % 4.86/5.08 (define @t37 () (@list @t23 @t1 @t9 @t33)) % 4.86/5.08 (define @t38 () (tptp.f6 @t23 @t1)) % 4.86/5.08 (define @t39 () (tptp.second @t1)) % 4.86/5.08 (define @t40 () (tptp.member @t23 @t39)) % 4.86/5.08 (define @t41 () (not @t40)) % 4.86/5.08 (define @t42 () (tptp.f7 @t23 @t1)) % 4.86/5.08 (define @t43 () (tptp.ordered_pair_predicate @t23)) % 4.86/5.08 (define @t44 () (tptp.member @t23 tptp.estin)) % 4.86/5.08 (define @t45 () (not @t44)) % 4.86/5.08 (define @t46 () (@list @t23)) % 4.86/5.08 (define @t47 () (tptp.second @t23)) % 4.86/5.08 (define @t48 () (tptp.first @t23)) % 4.86/5.08 (define @t49 () (tptp.member @t48 @t47)) % 4.86/5.08 (define @t50 () (not @t43)) % 4.86/5.08 (define @t51 () (tptp.member @t23 @t1)) % 4.86/5.08 (define @t52 () (tptp.member @t23 (tptp.intersection @t1 @t3))) % 4.86/5.08 (define @t53 () (not @t52)) % 4.86/5.08 (define @t54 () (@list @t23 @t1 @t3)) % 4.86/5.08 (define @t55 () (tptp.member @t23 @t3)) % 4.86/5.08 (define @t56 () (not @t55)) % 4.86/5.08 (define @t57 () (not @t51)) % 4.86/5.08 (define @t58 () (tptp.complement @t1)) % 4.86/5.08 (define @t59 () (tptp.member @t23 @t58)) % 4.86/5.08 (define @t60 () (tptp.f8 @t23 @t1)) % 4.86/5.08 (define @t61 () (tptp.member @t23 (tptp.domain_of @t1))) % 4.86/5.08 (define @t62 () (not @t61)) % 4.86/5.08 (define @t63 () (@var "Xp" $$unsorted)) % 4.86/5.08 (define @t64 () (not (tptp.member @t63 @t1))) % 4.86/5.08 (define @t65 () (not (tptp.ordered_pair_predicate @t63))) % 4.86/5.08 (define @t66 () (@list @t23 @t1 @t63)) % 4.86/5.08 (define @t67 () (tptp.member @t23 (tptp.cross_product @t1 @t3))) % 4.86/5.08 (define @t68 () (not @t67)) % 4.86/5.08 (define @t69 () (tptp.member @t48 @t1)) % 4.86/5.08 (define @t70 () (tptp.member @t47 @t3)) % 4.86/5.08 (define @t71 () (tptp.member @t23 (tptp.converse @t1))) % 4.86/5.08 (define @t72 () (not @t71)) % 4.86/5.08 (define @t73 () (tptp.member (tptp.ordered_pair @t47 @t48) @t1)) % 4.86/5.08 (define @t74 () (tptp.f9 @t23 @t1)) % 4.86/5.08 (define @t75 () (tptp.member @t23 (tptp.rotate_right @t1))) % 4.86/5.08 (define @t76 () (not @t75)) % 4.86/5.08 (define @t77 () (tptp.f10 @t23 @t1)) % 4.86/5.08 (define @t78 () (tptp.f11 @t23 @t1)) % 4.86/5.08 (define @t79 () (@var "W" $$unsorted)) % 4.86/5.08 (define @t80 () (not (= @t23 (tptp.ordered_pair @t9 (tptp.ordered_pair @t33 @t79))))) % 4.86/5.08 (define @t81 () (not (tptp.little_set @t79))) % 4.86/5.08 (define @t82 () (@list @t23 @t1 @t9 @t33 @t79)) % 4.86/5.08 (define @t83 () (tptp.f12 @t23 @t1)) % 4.86/5.08 (define @t84 () (tptp.member @t23 (tptp.flip_range_of @t1))) % 4.86/5.08 (define @t85 () (not @t84)) % 4.86/5.08 (define @t86 () (tptp.f13 @t23 @t1)) % 4.86/5.08 (define @t87 () (tptp.f14 @t23 @t1)) % 4.86/5.08 (define @t88 () (tptp.successor @t1)) % 4.86/5.08 (define @t89 () (tptp.f16 @t23 @t1)) % 4.86/5.08 (define @t90 () (tptp.member @t23 (tptp.sigma @t1))) % 4.86/5.08 (define @t91 () (not @t90)) % 4.86/5.08 (define @t92 () (forall @t54 (or @t90 (not (tptp.member @t3 @t1)) @t56))) % 4.86/5.08 (define @t93 () (@list @t9)) % 4.86/5.08 (define @t94 () (tptp.member @t9 @t3)) % 4.86/5.08 (define @t95 () (not (tptp.member @t9 @t1))) % 4.86/5.08 (define @t96 () (tptp.subset @t1 @t3)) % 4.86/5.08 (define @t97 () (not @t96)) % 4.86/5.08 (define @t98 () (@list @t1 @t3 @t9)) % 4.86/5.08 (define @t99 () (tptp.f17 @t1 @t3)) % 4.86/5.08 (define @t100 () (tptp.proper_subset @t1 @t3)) % 4.86/5.08 (define @t101 () (not @t100)) % 4.86/5.08 (define @t102 () (tptp.subset @t23 @t1)) % 4.86/5.08 (define @t103 () (tptp.member @t23 (tptp.powerset @t1))) % 4.86/5.08 (define @t104 () (tptp.relation @t23)) % 4.86/5.08 (define @t105 () (tptp.f18 @t23)) % 4.86/5.08 (define @t106 () (tptp.single_valued_set @t1)) % 4.86/5.08 (define @t107 () (tptp.f19 @t1)) % 4.86/5.08 (define @t108 () (tptp.f20 @t1)) % 4.86/5.08 (define @t109 () (tptp.f21 @t1)) % 4.86/5.08 (define @t110 () (@var "Xf" $$unsorted)) % 4.86/5.08 (define @t111 () (tptp.relation @t110)) % 4.86/5.08 (define @t112 () (tptp.function @t110)) % 4.86/5.08 (define @t113 () (not @t112)) % 4.86/5.08 (define @t114 () (@list @t110)) % 4.86/5.08 (define @t115 () (tptp.single_valued_set @t110)) % 4.86/5.08 (define @t116 () (tptp.f22 @t23 @t1 @t110)) % 4.86/5.08 (define @t117 () (tptp.image @t1 @t110)) % 4.86/5.08 (define @t118 () (tptp.member @t23 @t117)) % 4.86/5.08 (define @t119 () (not @t118)) % 4.86/5.08 (define @t120 () (@list @t23 @t1 @t110)) % 4.86/5.08 (define @t121 () (tptp.second @t3)) % 4.86/5.08 (define @t122 () (not (= @t121 @t23))) % 4.86/5.08 (define @t123 () (not (tptp.member (tptp.first @t3) @t1))) % 4.86/5.08 (define @t124 () (not (tptp.member @t3 @t110))) % 4.86/5.08 (define @t125 () (not (tptp.ordered_pair_predicate @t3))) % 4.86/5.08 (define @t126 () (or @t118 @t24 @t125 @t124 @t123 @t122)) % 4.86/5.08 (define @t127 () (@list @t23 @t1 @t110 @t3)) % 4.86/5.08 (define @t128 () (forall @t127 @t126)) % 4.86/5.08 (define @t129 () (not @t2)) % 4.86/5.08 (define @t130 () (tptp.disjoint @t1 @t3)) % 4.86/5.08 (define @t131 () (tptp.f23 @t1 @t3)) % 4.86/5.08 (define @t132 () (tptp.f24 @t1)) % 4.86/5.08 (define @t133 () (= @t1 tptp.empty_set)) % 4.86/5.08 (define @t134 () (tptp.f26 @t1)) % 4.86/5.08 (define @t135 () (tptp.f27 @t23 @t1)) % 4.86/5.08 (define @t136 () (tptp.member @t23 (tptp.range_of @t1))) % 4.86/5.08 (define @t137 () (not @t136)) % 4.86/5.08 (define @t138 () (tptp.member @t23 tptp.identity_relation)) % 4.86/5.08 (define @t139 () (not @t138)) % 4.86/5.08 (define @t140 () (= @t48 @t47)) % 4.86/5.08 (define @t141 () (tptp.one_to_one_function @t110)) % 4.86/5.08 (define @t142 () (not @t141)) % 4.86/5.08 (define @t143 () (tptp.function (tptp.converse @t110))) % 4.86/5.08 (define @t144 () (tptp.f28 @t23 @t110 @t3)) % 4.86/5.08 (define @t145 () (tptp.member @t23 (tptp.apply @t110 @t3))) % 4.86/5.08 (define @t146 () (not @t145)) % 4.86/5.08 (define @t147 () (@list @t23 @t110 @t3)) % 4.86/5.08 (define @t148 () (tptp.first @t144)) % 4.86/5.08 (define @t149 () (or @t146 (= @t148 @t3))) % 4.86/5.08 (define @t150 () (forall @t147 @t149)) % 4.86/5.08 (define @t151 () (@list @t110 @t1 @t3)) % 4.86/5.08 (define @t152 () (tptp.maps @t110 @t1 @t3)) % 4.86/5.08 (define @t153 () (not @t152)) % 4.86/5.08 (define @t154 () (= (tptp.domain_of @t110) @t1)) % 4.86/5.08 (define @t155 () (tptp.subset (tptp.range_of @t110) @t3)) % 4.86/5.08 (define @t156 () (@var "Xs" $$unsorted)) % 4.86/5.08 (define @t157 () (tptp.little_set @t156)) % 4.86/5.08 (define @t158 () (tptp.closed @t156 @t110)) % 4.86/5.08 (define @t159 () (not @t158)) % 4.86/5.08 (define @t160 () (@list @t156 @t110)) % 4.86/5.08 (define @t161 () (tptp.little_set @t110)) % 4.86/5.08 (define @t162 () (tptp.maps @t110 (tptp.cross_product @t156 @t156) @t156)) % 4.86/5.08 (define @t163 () (@var "Xg" $$unsorted)) % 4.86/5.08 (define @t164 () (tptp.f29 @t23 @t110 @t163)) % 4.86/5.08 (define @t165 () (tptp.member @t23 (tptp.compose @t110 @t163))) % 4.86/5.08 (define @t166 () (not @t165)) % 4.86/5.08 (define @t167 () (@list @t23 @t110 @t163)) % 4.86/5.08 (define @t168 () (tptp.f30 @t23 @t110 @t163)) % 4.86/5.08 (define @t169 () (tptp.f31 @t23 @t110 @t163)) % 4.86/5.08 (define @t170 () (@var "Xf1" $$unsorted)) % 4.86/5.08 (define @t171 () (@var "Xs1" $$unsorted)) % 4.86/5.08 (define @t172 () (tptp.closed @t171 @t170)) % 4.86/5.08 (define @t173 () (@var "Xf2" $$unsorted)) % 4.86/5.08 (define @t174 () (@var "Xs2" $$unsorted)) % 4.86/5.08 (define @t175 () (@var "Xh" $$unsorted)) % 4.86/5.08 (define @t176 () (tptp.homomorphism @t175 @t171 @t170 @t174 @t173)) % 4.86/5.08 (define @t177 () (not @t176)) % 4.86/5.08 (define @t178 () (@list @t175 @t171 @t170 @t174 @t173)) % 4.86/5.08 (define @t179 () (tptp.closed @t174 @t173)) % 4.86/5.08 (define @t180 () (tptp.maps @t175 @t171 @t174)) % 4.86/5.08 (define @t181 () (tptp.f32 @t175 @t171 @t170 @t174 @t173)) % 4.86/5.08 (define @t182 () (not @t180)) % 4.86/5.08 (define @t183 () (not @t179)) % 4.86/5.08 (define @t184 () (not @t172)) % 4.86/5.08 (define @t185 () (tptp.f33 @t175 @t171 @t170 @t174 @t173)) % 4.86/5.08 (define @t186 () (not (= @t18 @t34))) % 4.86/5.08 (define @t187 () (tptp.singleton_set tptp.element)) % 4.86/5.08 (define @t188 () (tptp.image @t187 tptp.a_function)) % 4.86/5.08 (define @t189 () (tptp.sigma @t188)) % 4.86/5.08 (define @t190 () (tptp.apply tptp.a_function tptp.element)) % 4.86/5.08 (define @t191 () (tptp.subset @t190 @t189)) % 4.86/5.08 (define @t192 () (not (tptp.little_set @t121))) % 4.86/5.08 (define @t193 () (tptp.member @t121 @t117)) % 4.86/5.08 (define @t194 () (not (= @t121 @t121))) % 4.86/5.08 (define @t195 () (or @t193 @t192 @t125 @t124 @t123 @t194)) % 4.86/5.08 (define @t196 () (@list @t1 @t110 @t3)) % 4.86/5.08 (define @t197 () (not (= @t23 @t121))) % 4.86/5.08 (define @t198 () (or @t197 @t118 @t24 @t125 @t124 @t123 @t197)) % 4.86/5.08 (define @t199 () (or @t118 @t24 @t125 @t124 @t123 @t197)) % 4.86/5.08 (define @t200 () (forall @t46 @t199)) % 4.86/5.08 (define @t201 () (forall @t196 @t200)) % 4.86/5.08 (define @t202 () (forall (@list @t1 @t110 @t3 @t23) @t199)) % 4.86/5.08 (define @t203 () (tptp.f17 @t190 @t189)) % 4.86/5.08 (define @t204 () (tptp.f28 @t203 tptp.a_function tptp.element)) % 4.86/5.08 (define @t205 () (@list @t204)) % 4.86/5.08 (define @t206 () (@list @t203 tptp.a_function tptp.element)) % 4.86/5.08 (define @t207 () (@list @t190 @t189)) % 4.86/5.08 (define @t208 () (tptp.member @t203 @t190)) % 4.86/5.08 (define @t209 () (or @t191 @t208)) % 4.86/5.08 (define @t210 () (@list true false)) % 4.86/5.08 (define @t211 () (tptp.ordered_pair_predicate @t204)) % 4.86/5.08 (define @t212 () (not @t208)) % 4.86/5.08 (define @t213 () (or @t212 @t211)) % 4.86/5.08 (define @t214 () (@list false false)) % 4.86/5.08 (define @t215 () (tptp.first @t204)) % 4.86/5.08 (define @t216 () (tptp.little_set @t215)) % 4.86/5.08 (define @t217 () (not @t211)) % 4.86/5.08 (define @t218 () (or @t217 @t216)) % 4.86/5.08 (define @t219 () (= tptp.element @t215)) % 4.86/5.08 (define @t220 () (or @t212 @t219)) % 4.86/5.08 (define @t221 () (tptp.little_set tptp.element)) % 4.86/5.08 (define @t222 () (tptp.member tptp.element @t187)) % 4.86/5.08 (define @t223 () (not @t221)) % 4.86/5.08 (define @t224 () (or @t223 @t222)) % 4.86/5.08 (define @t225 () (tptp.member @t215 @t187)) % 4.86/5.08 (define @t226 () (tptp.second @t204)) % 4.86/5.08 (define @t227 () (tptp.little_set @t226)) % 4.86/5.08 (define @t228 () (or @t217 @t227)) % 4.86/5.08 (define @t229 () (tptp.member @t204 tptp.a_function)) % 4.86/5.08 (define @t230 () (or @t212 @t229)) % 4.86/5.08 (define @t231 () (not @t225)) % 4.86/5.08 (define @t232 () (not @t229)) % 4.86/5.08 (define @t233 () (not @t227)) % 4.86/5.08 (define @t234 () (tptp.member @t226 @t188)) % 4.86/5.08 (define @t235 () (or @t234 @t233 @t217 @t232 @t231)) % 4.86/5.08 (define @t236 () (tptp.member @t203 @t226)) % 4.86/5.08 (define @t237 () (or @t212 @t236)) % 4.86/5.08 (define @t238 () (tptp.member @t203 @t189)) % 4.86/5.08 (define @t239 () (not @t238)) % 4.86/5.08 (define @t240 () (or @t191 @t239)) % 4.86/5.08 (define @t241 () (not @t236)) % 4.86/5.08 (define @t242 () (not @t234)) % 4.86/5.08 (define @t243 () (or @t238 @t242 @t241)) % 4.86/5.08 (define @t244 () (not @t243)) % 4.86/5.08 (assume @p1 (forall @t4 (or (not (tptp.member @t1 @t3)) @t2))) % 4.86/5.08 (assume @p2 (forall @t4 (or (tptp.little_set @t6) @t5))) % 4.86/5.08 (assume @p3 (forall @t4 (or @t8 @t7 @t5))) % 4.86/5.08 (assume @p4 (forall @t4 (or (not @t8) (not @t7) @t5))) % 4.86/5.08 (assume @p5 (forall @t14 (or (not @t13) @t11 @t10))) % 4.86/5.08 (assume @p6 (forall @t14 (or @t13 @t15 (not @t11)))) % 4.86/5.08 (assume @p7 (forall @t14 (or @t13 @t15 (not @t10)))) % 4.86/5.08 (assume @p8 (forall @t4 (tptp.little_set @t12))) % 4.86/5.08 (assume @p9 (forall @t17 (= @t16 (tptp.non_ordered_pair @t1 @t1)))) % 4.86/5.08 (assume @p10 (forall @t4 (= @t18 (tptp.non_ordered_pair @t16 @t12)))) % 4.86/5.08 (assume @p11 (forall @t17 (or @t21 (tptp.little_set @t19)))) % 4.86/5.08 (assume @p12 (forall @t17 (or @t21 (tptp.little_set @t22)))) % 4.86/5.08 (assume @p13 (forall @t17 (or @t21 (= @t1 (tptp.ordered_pair @t19 @t22))))) % 4.86/5.08 (assume @p14 (forall @t26 (or @t20 @t25 @t24 (not (= @t1 (tptp.ordered_pair @t3 @t23)))))) % 4.86/5.08 (assume @p15 (forall @t31 (or @t30 (tptp.little_set @t27)))) % 4.86/5.08 (assume @p16 (forall @t31 (or @t30 (tptp.little_set @t32)))) % 4.86/5.08 (assume @p17 (forall @t31 (or @t30 (= @t1 (tptp.ordered_pair @t27 @t32))))) % 4.86/5.08 (assume @p18 (forall @t31 (or @t30 (tptp.member @t23 @t27)))) % 4.86/5.08 (assume @p19 (forall @t37 (or @t29 @t15 @t36 @t35 (not (tptp.member @t23 @t9))))) % 4.86/5.08 (assume @p20 (forall @t31 (or @t41 (tptp.little_set @t38)))) % 4.86/5.08 (assume @p21 (forall @t31 (or @t41 (tptp.little_set @t42)))) % 4.86/5.08 (assume @p22 (forall @t31 (or @t41 (= @t1 (tptp.ordered_pair @t38 @t42))))) % 4.86/5.08 (assume @p23 (forall @t31 (or @t41 (tptp.member @t23 @t42)))) % 4.86/5.08 (assume @p24 (forall @t37 (or @t40 @t15 @t36 @t35 (not (tptp.member @t23 @t33))))) % 4.86/5.08 (assume @p25 (forall @t46 (or @t45 @t43))) % 4.86/5.08 (assume @p26 (forall @t46 (or @t45 @t49))) % 4.86/5.08 (assume @p27 (forall @t46 (or @t44 @t24 @t50 (not @t49)))) % 4.86/5.08 (assume @p28 (forall @t54 (or @t53 @t51))) % 4.86/5.08 (assume @p29 (forall @t54 (or @t53 @t55))) % 4.86/5.08 (assume @p30 (forall @t54 (or @t52 @t57 @t56))) % 4.86/5.08 (assume @p31 (forall @t31 (or (not @t59) @t57))) % 4.86/5.08 (assume @p32 (forall @t31 (or @t59 @t24 @t51))) % 4.86/5.08 (assume @p33 (forall @t4 (= (tptp.union @t1 @t3) (tptp.complement (tptp.intersection @t58 (tptp.complement @t3)))))) % 4.86/5.08 (assume @p34 (forall @t31 (or @t62 (tptp.ordered_pair_predicate @t60)))) % 4.86/5.08 (assume @p35 (forall @t31 (or @t62 (tptp.member @t60 @t1)))) % 4.86/5.08 (assume @p36 (forall @t31 (or @t62 (= @t23 (tptp.first @t60))))) % 4.86/5.08 (assume @p37 (forall @t66 (or @t61 @t24 @t65 @t64 (not (= @t23 (tptp.first @t63)))))) % 4.86/5.08 (assume @p38 (forall @t54 (or @t68 @t43))) % 4.86/5.08 (assume @p39 (forall @t54 (or @t68 @t69))) % 4.86/5.08 (assume @p40 (forall @t54 (or @t68 @t70))) % 4.86/5.08 (assume @p41 (forall @t54 (or @t67 @t24 @t50 (not @t69) (not @t70)))) % 4.86/5.08 (assume @p42 (forall @t31 (or @t72 @t43))) % 4.86/5.08 (assume @p43 (forall @t31 (or @t72 @t73))) % 4.86/5.08 (assume @p44 (forall @t31 (or @t71 @t24 @t50 (not @t73)))) % 4.86/5.08 (assume @p45 (forall @t31 (or @t76 (tptp.little_set @t74)))) % 4.86/5.08 (assume @p46 (forall @t31 (or @t76 (tptp.little_set @t77)))) % 4.86/5.08 (assume @p47 (forall @t31 (or @t76 (tptp.little_set @t78)))) % 4.86/5.08 (assume @p48 (forall @t31 (or @t76 (= @t23 (tptp.ordered_pair @t74 (tptp.ordered_pair @t77 @t78)))))) % 4.86/5.08 (assume @p49 (forall @t31 (or @t76 (tptp.member (tptp.ordered_pair @t77 (tptp.ordered_pair @t78 @t74)) @t1)))) % 4.86/5.08 (assume @p50 (forall @t82 (or @t75 @t24 @t15 @t36 @t81 @t80 (not (tptp.member (tptp.ordered_pair @t33 (tptp.ordered_pair @t79 @t9)) @t1))))) % 4.86/5.08 (assume @p51 (forall @t31 (or @t85 (tptp.little_set @t83)))) % 4.86/5.08 (assume @p52 (forall @t31 (or @t85 (tptp.little_set @t86)))) % 4.86/5.08 (assume @p53 (forall @t31 (or @t85 (tptp.little_set @t87)))) % 4.86/5.08 (assume @p54 (forall @t31 (or @t85 (= @t23 (tptp.ordered_pair @t83 (tptp.ordered_pair @t86 @t87)))))) % 4.86/5.08 (assume @p55 (forall @t31 (or @t85 (tptp.member (tptp.ordered_pair @t83 (tptp.ordered_pair @t87 @t86)) @t1)))) % 4.86/5.08 (assume @p56 (forall @t82 (or @t84 @t24 @t15 @t36 @t81 @t80 (not (tptp.member (tptp.ordered_pair @t9 (tptp.ordered_pair @t79 @t33)) @t1))))) % 4.86/5.08 (assume @p57 (forall @t17 (= @t88 (tptp.union @t1 @t16)))) % 4.86/5.08 (assume @p58 (forall @t46 (not (tptp.member @t23 tptp.empty_set)))) % 4.86/5.08 (assume @p59 (forall @t46 (or (tptp.member @t23 tptp.universal_set) @t24))) % 4.86/5.08 (assume @p60 (tptp.little_set tptp.infinity)) % 4.86/5.08 (assume @p61 (tptp.member tptp.empty_set tptp.infinity)) % 4.86/5.08 (assume @p62 (forall @t17 (or (not (tptp.member @t1 tptp.infinity)) (tptp.member @t88 tptp.infinity)))) % 4.86/5.08 (assume @p63 (forall @t31 (or @t91 (tptp.member @t89 @t1)))) % 4.86/5.08 (assume @p64 (forall @t31 (or @t91 (tptp.member @t23 @t89)))) % 4.86/5.08 (assume @p65 @t92) % 4.86/5.08 (assume @p66 (forall @t93 (or @t15 (tptp.little_set (tptp.sigma @t9))))) % 4.86/5.08 (assume @p67 (forall @t98 (or @t97 @t95 @t94))) % 4.86/5.08 (assume @p68 (forall @t4 (or @t96 (tptp.member @t99 @t1)))) % 4.86/5.08 (assume @p69 (forall @t4 (or @t96 (not (tptp.member @t99 @t3))))) % 4.86/5.08 (assume @p70 (forall @t4 (or @t101 @t96))) % 4.86/5.08 (assume @p71 (forall @t4 (or @t101 (not @t5)))) % 4.86/5.08 (assume @p72 (forall @t4 (or @t100 @t97 @t5))) % 4.86/5.08 (assume @p73 (forall @t31 (or (not @t103) @t102))) % 4.86/5.08 (assume @p74 (forall @t31 (or @t103 @t24 (not @t102)))) % 4.86/5.08 (assume @p75 (forall @t93 (or @t15 (tptp.little_set (tptp.powerset @t9))))) % 4.86/5.08 (assume @p76 (forall @t31 (or (not @t104) (not (tptp.member @t1 @t23)) @t20))) % 4.86/5.08 (assume @p77 (forall @t46 (or @t104 (tptp.member @t105 @t23)))) % 4.86/5.08 (assume @p78 (forall @t46 (or @t104 (not (tptp.ordered_pair_predicate @t105))))) % 4.86/5.08 (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)))) % 4.86/5.08 (assume @p80 (forall @t17 (or @t106 (tptp.little_set @t107)))) % 4.86/5.08 (assume @p81 (forall @t17 (or @t106 (tptp.little_set @t108)))) % 4.86/5.08 (assume @p82 (forall @t17 (or @t106 (tptp.little_set @t109)))) % 4.86/5.08 (assume @p83 (forall @t17 (or @t106 (tptp.member (tptp.ordered_pair @t107 @t108) @t1)))) % 4.86/5.08 (assume @p84 (forall @t17 (or @t106 (tptp.member (tptp.ordered_pair @t107 @t109) @t1)))) % 4.86/5.08 (assume @p85 (forall @t17 (or @t106 (not (= @t108 @t109))))) % 4.86/5.08 (assume @p86 (forall @t114 (or @t113 @t111))) % 4.86/5.08 (assume @p87 (forall @t114 (or @t113 @t115))) % 4.86/5.08 (assume @p88 (forall @t114 (or @t112 (not @t111) (not @t115)))) % 4.86/5.08 (assume @p89 (forall @t120 (or @t119 (tptp.ordered_pair_predicate @t116)))) % 4.86/5.08 (assume @p90 (forall @t120 (or @t119 (tptp.member @t116 @t110)))) % 4.86/5.08 (assume @p91 (forall @t120 (or @t119 (tptp.member (tptp.first @t116) @t1)))) % 4.86/5.08 (assume @p92 (forall @t120 (or @t119 (= (tptp.second @t116) @t23)))) % 4.86/5.08 (assume @p93 @t128) % 4.86/5.08 (assume @p94 (forall (@list @t1 @t110) (or @t129 @t113 (tptp.little_set @t117)))) % 4.86/5.08 (assume @p95 (forall @t98 (or (not @t130) @t95 (not @t94)))) % 4.86/5.08 (assume @p96 (forall @t4 (or @t130 (tptp.member @t131 @t1)))) % 4.86/5.08 (assume @p97 (forall @t4 (or @t130 (tptp.member @t131 @t3)))) % 4.86/5.08 (assume @p98 (forall @t17 (or @t133 (tptp.member @t132 @t1)))) % 4.86/5.08 (assume @p99 (forall @t17 (or @t133 (tptp.disjoint @t132 @t1)))) % 4.86/5.08 (assume @p100 (tptp.function tptp.f25)) % 4.86/5.08 (assume @p101 (forall @t17 (or @t129 @t133 (tptp.member @t134 @t1)))) % 4.86/5.08 (assume @p102 (forall @t17 (or @t129 @t133 (tptp.member (tptp.ordered_pair @t1 @t134) tptp.f25)))) % 4.86/5.08 (assume @p103 (forall @t31 (or @t137 (tptp.ordered_pair_predicate @t135)))) % 4.86/5.08 (assume @p104 (forall @t31 (or @t137 (tptp.member @t135 @t1)))) % 4.86/5.08 (assume @p105 (forall @t31 (or @t137 (= @t23 (tptp.second @t135))))) % 4.86/5.08 (assume @p106 (forall @t66 (or @t136 @t24 @t65 @t64 (not (= @t23 (tptp.second @t63)))))) % 4.86/5.08 (assume @p107 (forall @t46 (or @t139 @t43))) % 4.86/5.08 (assume @p108 (forall @t46 (or @t139 @t140))) % 4.86/5.08 (assume @p109 (forall @t46 (or @t138 @t24 @t50 (not @t140)))) % 4.86/5.08 (assume @p110 (forall @t4 (= (tptp.restrict @t1 @t3) (tptp.intersection @t1 (tptp.cross_product @t3 tptp.universal_set))))) % 4.86/5.08 (assume @p111 (forall @t114 (or @t142 @t112))) % 4.86/5.08 (assume @p112 (forall @t114 (or @t142 @t143))) % 4.86/5.08 (assume @p113 (forall @t114 (or @t141 @t113 (not @t143)))) % 4.86/5.08 (assume @p114 (forall @t147 (or @t146 (tptp.ordered_pair_predicate @t144)))) % 4.86/5.08 (assume @p115 (forall @t147 (or @t146 (tptp.member @t144 @t110)))) % 4.86/5.08 (assume @p116 @t150) % 4.86/5.08 (assume @p117 (forall @t147 (or @t146 (tptp.member @t23 (tptp.second @t144))))) % 4.86/5.08 (assume @p118 (forall (@list @t23 @t110 @t3 @t79) (or @t145 (not (tptp.ordered_pair_predicate @t79)) (not (tptp.member @t79 @t110)) (not (= (tptp.first @t79) @t3)) (not (tptp.member @t23 (tptp.second @t79)))))) % 4.86/5.08 (assume @p119 (forall @t151 (= (tptp.apply_to_two_arguments @t110 @t1 @t3) (tptp.apply @t110 @t18)))) % 4.86/5.08 (assume @p120 (forall @t151 (or @t153 @t112))) % 4.86/5.08 (assume @p121 (forall @t151 (or @t153 @t154))) % 4.86/5.08 (assume @p122 (forall @t151 (or @t153 @t155))) % 4.86/5.08 (assume @p123 (forall @t151 (or @t152 @t113 (not @t154) (not @t155)))) % 4.86/5.08 (assume @p124 (forall @t160 (or @t159 @t157))) % 4.86/5.08 (assume @p125 (forall @t160 (or @t159 @t161))) % 4.86/5.08 (assume @p126 (forall @t160 (or @t159 @t162))) % 4.86/5.08 (assume @p127 (forall @t160 (or @t158 (not @t157) (not @t161) (not @t162)))) % 4.86/5.08 (assume @p128 (forall @t167 (or @t166 (tptp.little_set @t164)))) % 4.86/5.08 (assume @p129 (forall @t167 (or @t166 (tptp.little_set @t168)))) % 4.86/5.08 (assume @p130 (forall @t167 (or @t166 (tptp.little_set @t169)))) % 4.86/5.08 (assume @p131 (forall @t167 (or @t166 (= @t23 (tptp.ordered_pair @t164 @t168))))) % 4.86/5.08 (assume @p132 (forall @t167 (or @t166 (tptp.member (tptp.ordered_pair @t164 @t169) @t110)))) % 4.86/5.08 (assume @p133 (forall @t167 (or @t166 (tptp.member (tptp.ordered_pair @t169 @t168) @t163)))) % 4.86/5.08 (assume @p134 (forall (@list @t23 @t110 @t163 @t1 @t3 @t79) (or @t165 @t24 @t129 @t25 @t81 (not (= @t23 @t18)) (not (tptp.member (tptp.ordered_pair @t1 @t79) @t110)) (not (tptp.member (tptp.ordered_pair @t79 @t3) @t163))))) % 4.86/5.08 (assume @p135 (forall @t178 (or @t177 @t172))) % 4.86/5.08 (assume @p136 (forall @t178 (or @t177 @t179))) % 4.86/5.08 (assume @p137 (forall @t178 (or @t177 @t180))) % 4.86/5.08 (assume @p138 (forall (@list @t175 @t171 @t170 @t174 @t173 @t1 @t3) (or @t177 (not (tptp.member @t1 @t171)) (not (tptp.member @t3 @t171)) (= (tptp.apply @t175 (tptp.apply_to_two_arguments @t170 @t1 @t3)) (tptp.apply_to_two_arguments @t173 (tptp.apply @t175 @t1) (tptp.apply @t175 @t3)))))) % 4.86/5.08 (assume @p139 (forall @t178 (or @t176 @t184 @t183 @t182 (tptp.member @t181 @t171)))) % 4.86/5.08 (assume @p140 (forall @t178 (or @t176 @t184 @t183 @t182 (tptp.member @t185 @t171)))) % 4.86/5.08 (assume @p141 (forall @t178 (or @t176 @t184 @t183 @t182 (not (= (tptp.apply @t175 (tptp.apply_to_two_arguments @t170 @t181 @t185)) (tptp.apply_to_two_arguments @t173 (tptp.apply @t175 @t181) (tptp.apply @t175 @t185))))))) % 4.86/5.08 (assume @p142 (forall (@list @t1 @t9 @t3 @t33) (or @t129 @t15 @t186 (= @t1 @t9)))) % 4.86/5.08 (assume @p143 (forall @t26 (or @t129 @t25 (not (= (tptp.non_ordered_pair @t23 @t1) (tptp.non_ordered_pair @t23 @t3))) @t5))) % 4.86/5.08 (assume @p144 (forall (@list @t1 @t3 @t9 @t33) (or @t129 @t25 @t15 @t36 @t186 (= @t3 @t33)))) % 4.86/5.08 (assume @p145 (forall @t4 (or @t97 (not (tptp.subset @t3 @t1)) @t5))) % 4.86/5.08 (assume @p146 (forall @t4 (or @t129 @t25 (= (tptp.first @t18) @t1)))) % 4.86/5.08 (assume @p147 (forall @t4 (or @t129 @t25 (= (tptp.second @t18) @t3)))) % 4.86/5.08 (assume @p148 (forall @t17 (or @t21 (tptp.little_set @t28)))) % 4.86/5.08 (assume @p149 (forall @t17 (or @t21 (tptp.little_set @t39)))) % 4.86/5.08 (assume @p150 (forall @t17 (or @t129 (tptp.member @t1 @t16)))) % 4.86/5.08 (assume @p151 (forall @t4 (tptp.little_set @t18))) % 4.86/5.08 (assume @p152 (forall @t17 (or @t21 @t2))) % 4.86/5.08 (assume @p153 (forall @t26 (or @t97 (not (tptp.subset @t3 @t23)) (tptp.subset @t1 @t23)))) % 4.86/5.08 (assume @p154 (not @t191)) % 4.86/5.08 (step @p155 :rule aci_norm :args ((= (or @t193 @t192 @t125 @t124 @t123 false) (or @t193 @t192 @t125 @t124 @t123)))) % 4.86/5.08 (step @p156 :rule evaluate :args ((not true))) % 4.86/5.08 (step @p157 :rule eq-refl :args (@t121)) % 4.86/5.08 (step @p158 :rule cong :premises (@p157) :args (@t194)) % 4.86/5.08 (step @p159 :rule trans :premises (@p158 @p156)) % 4.86/5.08 (step @p160 :rule refl :args (@t123)) % 4.86/5.08 (step @p161 :rule refl :args (@t124)) % 4.86/5.08 (step @p162 :rule refl :args (@t125)) % 4.86/5.08 (step @p163 :rule refl :args (@t192)) % 4.86/5.08 (step @p164 :rule refl :args (@t193)) % 4.86/5.08 (step @p165 :rule nary_cong :premises (@p164 @p163 @p162 @p161 @p160 @p159) :args (@t195)) % 4.86/5.08 (step @p166 :rule trans :premises (@p165 @p155)) % 4.86/5.08 (step @p167 :rule cong :premises (@p166) :args ((forall @t196 @t195))) % 4.86/5.08 (step @p168 :rule quant-var-elim-eq :args ((= (forall @t46 @t198) @t195))) % 4.86/5.08 (step @p169 :rule aci_norm :args ((= @t199 @t198))) % 4.86/5.08 (step @p170 :rule cong :premises (@p169) :args (@t200)) % 4.86/5.08 (step @p171 :rule trans :premises (@p170 @p168)) % 4.86/5.08 (step @p172 :rule cong :premises (@p171) :args (@t201)) % 4.86/5.08 (step @p173 :rule quant-merge-prenex :args ((= @t201 @t202))) % 4.86/5.08 (step @p174 :rule symm :premises (@p173)) % 4.86/5.08 (step @p175 :rule quant_var_reordering :args ((= (forall @t127 @t199) @t202))) % 4.86/5.08 (step @p176 :rule trans :premises (@p175 @p174 @p172)) % 4.86/5.08 (step @p177 :rule trans :premises (@p176 @p167)) % 4.86/5.08 (step @p178 :rule eq-symm :args (@t121 @t23)) % 4.86/5.08 (step @p179 :rule cong :premises (@p178) :args (@t122)) % 4.86/5.08 (step @p180 :rule refl :args (@t24)) % 4.86/5.08 (step @p181 :rule refl :args (@t118)) % 4.86/5.08 (step @p182 :rule nary_cong :premises (@p181 @p180 @p162 @p161 @p160 @p179) :args (@t126)) % 4.86/5.08 (step @p183 :rule cong :premises (@p182) :args (@t128)) % 4.86/5.08 (step @p184 :rule trans :premises (@p183 @p177)) % 4.86/5.08 (step @p185 :rule eq_resolve :premises (@p93 @p184)) % 4.86/5.08 (step @p186 :rule instantiate :premises (@p185) :args ((@list @t187 tptp.a_function @t204))) % 4.86/5.08 (step @p187 :rule instantiate :premises (@p150) :args ((@list tptp.element))) % 4.86/5.08 (step @p188 :rule instantiate :premises (@p148) :args (@t205)) % 4.86/5.08 (step @p189 :rule instantiate :premises (@p114) :args (@t206)) % 4.86/5.08 (step @p190 :rule instantiate :premises (@p68) :args (@t207)) % 4.86/5.08 (step @p191 :rule cnf_or_pos :args (@t209)) % 4.86/5.08 (step @p192 :rule reordering :premises (@p191) :args ((or @t191 @t208 (not @t209)))) % 4.86/5.08 (step @p193 :rule chain_m_resolution :premises (@p192 @p154 @p190) :args (@t208 @t210 (@list @t191 @t209))) % 4.86/5.08 (step @p194 :rule cnf_or_pos :args (@t213)) % 4.86/5.08 (step @p195 :rule reordering :premises (@p194) :args ((or @t212 @t211 (not @t213)))) % 4.86/5.08 (step @p196 :rule chain_m_resolution :premises (@p195 @p193 @p189) :args (@t211 @t214 (@list @t208 @t213))) % 4.86/5.08 (step @p197 :rule cnf_or_pos :args (@t218)) % 4.86/5.08 (step @p198 :rule reordering :premises (@p197) :args ((or @t217 @t216 (not @t218)))) % 4.86/5.08 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p188) :args (@t216 @t214 (@list @t211 @t218))) % 4.86/5.08 (step @p200 :rule true_intro :premises (@p199)) % 4.86/5.08 (step @p201 :rule eq-symm :args (@t148 @t3)) % 4.86/5.08 (step @p202 :rule refl :args (@t146)) % 4.86/5.08 (step @p203 :rule nary_cong :premises (@p202 @p201) :args (@t149)) % 4.86/5.08 (step @p204 :rule cong :premises (@p203) :args (@t150)) % 4.86/5.08 (step @p205 :rule eq_resolve :premises (@p116 @p204)) % 4.86/5.08 (step @p206 :rule instantiate :premises (@p205) :args (@t206)) % 4.86/5.08 (step @p207 :rule cnf_or_pos :args (@t220)) % 4.86/5.08 (step @p208 :rule reordering :premises (@p207) :args ((or @t212 @t219 (not @t220)))) % 4.86/5.08 (step @p209 :rule chain_m_resolution :premises (@p208 @p193 @p206) :args (@t219 @t214 (@list @t208 @t220))) % 4.86/5.08 (step @p210 :rule cong :premises (@p209) :args (@t221)) % 4.86/5.08 (step @p211 :rule trans :premises (@p210 @p200)) % 4.86/5.08 (step @p212 :rule true_elim :premises (@p211)) % 4.86/5.08 (step @p213 :rule cnf_or_pos :args (@t224)) % 4.86/5.08 (step @p214 :rule reordering :premises (@p213) :args ((or @t223 @t222 (not @t224)))) % 4.86/5.08 (step @p215 :rule chain_m_resolution :premises (@p214 @p212 @p187) :args (@t222 @t214 (@list @t221 @t224))) % 4.86/5.08 (step @p216 :rule true_intro :premises (@p215)) % 4.86/5.08 (step @p217 :rule refl :args (@t187)) % 4.86/5.08 (step @p218 :rule symm :premises (@p209)) % 4.86/5.08 (step @p219 :rule cong :premises (@p218 @p217) :args (@t225)) % 4.86/5.08 (step @p220 :rule trans :premises (@p219 @p216)) % 4.86/5.08 (step @p221 :rule true_elim :premises (@p220)) % 4.86/5.08 (step @p222 :rule instantiate :premises (@p149) :args (@t205)) % 4.86/5.08 (step @p223 :rule cnf_or_pos :args (@t228)) % 4.86/5.08 (step @p224 :rule reordering :premises (@p223) :args ((or @t217 @t227 (not @t228)))) % 4.86/5.08 (step @p225 :rule chain_m_resolution :premises (@p224 @p196 @p222) :args (@t227 @t214 (@list @t211 @t228))) % 4.86/5.08 (step @p226 :rule instantiate :premises (@p115) :args (@t206)) % 4.86/5.08 (step @p227 :rule cnf_or_pos :args (@t230)) % 4.86/5.08 (step @p228 :rule reordering :premises (@p227) :args ((or @t212 @t229 (not @t230)))) % 4.86/5.08 (step @p229 :rule chain_m_resolution :premises (@p228 @p193 @p226) :args (@t229 @t214 (@list @t208 @t230))) % 4.86/5.08 (step @p230 :rule cnf_or_pos :args (@t235)) % 4.86/5.08 (step @p231 :rule reordering :premises (@p230) :args ((or @t217 @t232 @t233 @t234 @t231 (not @t235)))) % 4.86/5.08 (step @p232 :rule chain_m_resolution :premises (@p231 @p196 @p229 @p225 @p221 @p186) :args (@t234 (@list false false false false false) (@list @t211 @t229 @t227 @t225 @t235))) % 4.86/5.08 (step @p233 :rule instantiate :premises (@p117) :args (@t206)) % 4.86/5.08 (step @p234 :rule cnf_or_pos :args (@t237)) % 4.86/5.08 (step @p235 :rule reordering :premises (@p234) :args ((or @t212 @t236 (not @t237)))) % 4.86/5.08 (step @p236 :rule chain_m_resolution :premises (@p235 @p193 @p233) :args (@t236 @t214 (@list @t208 @t237))) % 4.86/5.08 (step @p237 :rule instantiate :premises (@p69) :args (@t207)) % 4.86/5.08 (step @p238 :rule cnf_or_pos :args (@t240)) % 4.86/5.08 (step @p239 :rule reordering :premises (@p238) :args ((or @t191 @t239 (not @t240)))) % 4.86/5.08 (step @p240 :rule chain_m_resolution :premises (@p239 @p154 @p237) :args (@t239 @t210 (@list @t191 @t240))) % 4.86/5.08 (step @p241 :rule cnf_or_pos :args (@t243)) % 4.86/5.08 (step @p242 :rule reordering :premises (@p241) :args ((or @t238 @t241 @t242 @t244))) % 4.86/5.08 (step @p243 :rule chain_m_resolution :premises (@p242 @p240 @p236 @p232) :args (@t244 (@list true false false) (@list @t238 @t236 @t234))) % 4.86/5.08 (assume-push @p250 @t92) % 4.86/5.08 (step @p245 :rule instantiate :premises (@p65) :args ((@list @t203 @t188 @t226))) % 4.86/5.08 (step-pop @p251 :rule scope :premises (@p245)) % 4.86/5.08 (step @p246 :rule process_scope :premises (@p251) :args (@t243)) % 4.86/5.08 (step @p248 :rule implies_elim :premises (@p246)) % 4.86/5.08 (step @p249 false :rule chain_m_resolution :premises (@p248 @p243 @p65) :args (false @t210 (@list @t243 @t92))) % 4.86/5.08 ) % 4.86/5.09 % SZS output end Proof % 4.86/5.10 % cvc5 exiting %------------------------------------------------------------------------------