%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET038-3 : 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 : n021.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 08:47:05 AM UTC 2026 % Result : Unsatisfiable 0.85s 1.10s % Output : Proof 0.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET038-3 : TPTP v9.2.1. Released v1.0.0. % 0.14/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n021.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 14:47:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.85/1.10 % SZS status Unsatisfiable % 0.85/1.10 % SZS output start Proof % 0.85/1.11 ( % 0.85/1.11 (declare-sort $$unsorted 0) % 0.85/1.11 (declare-const tptp.a $$unsorted) % 0.85/1.11 (declare-const tptp.f32 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.f31 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.f29 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.closed (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.f28 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.apply_to_two_arguments (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.f7 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.single_valued_set (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.f25 $$unsorted) % 0.85/1.11 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.infinity $$unsorted) % 0.85/1.11 (declare-const tptp.a_function $$unsorted) % 0.85/1.11 (declare-const tptp.rotate_right (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.f24 (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.f2 (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.f30 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.f5 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.non_ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.estin $$unsorted) % 0.85/1.11 (declare-const tptp.singleton_set (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.f26 (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.flip_range_of (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.f11 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.little_set (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.f3 (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.f12 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.ordered_pair_predicate (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.f4 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.f20 (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.a_domain $$unsorted) % 0.85/1.11 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.f18 (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.f14 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.f22 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.empty_set $$unsorted) % 0.85/1.11 (declare-const tptp.universal_set $$unsorted) % 0.85/1.11 (declare-const tptp.f16 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.sigma (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.one_to_one_function (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.function (-> $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.a_range $$unsorted) % 0.85/1.11 (declare-const tptp.f17 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.f13 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.f33 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.f19 (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.identity_relation $$unsorted) % 0.85/1.11 (declare-const tptp.f21 (-> $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.85/1.11 (declare-const tptp.f23 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (declare-const tptp.f27 (-> $$unsorted $$unsorted $$unsorted)) % 0.85/1.11 (define @t1 () (@var "X" $$unsorted)) % 0.85/1.11 (define @t2 () (tptp.little_set @t1)) % 0.85/1.11 (define @t3 () (@var "Y" $$unsorted)) % 0.85/1.11 (define @t4 () (@list @t1 @t3)) % 0.85/1.11 (define @t5 () (= @t1 @t3)) % 0.85/1.11 (define @t6 () (tptp.f1 @t1 @t3)) % 0.85/1.11 (define @t7 () (tptp.member @t6 @t3)) % 0.85/1.11 (define @t8 () (tptp.member @t6 @t1)) % 0.85/1.11 (define @t9 () (@var "U" $$unsorted)) % 0.85/1.11 (define @t10 () (= @t9 @t3)) % 0.85/1.11 (define @t11 () (= @t9 @t1)) % 0.85/1.11 (define @t12 () (tptp.non_ordered_pair @t1 @t3)) % 0.85/1.11 (define @t13 () (tptp.member @t9 @t12)) % 0.85/1.11 (define @t14 () (@list @t9 @t1 @t3)) % 0.85/1.11 (define @t15 () (not (tptp.little_set @t9))) % 0.85/1.11 (define @t16 () (tptp.singleton_set @t1)) % 0.85/1.11 (define @t17 () (@list @t1)) % 0.85/1.11 (define @t18 () (tptp.ordered_pair @t1 @t3)) % 0.85/1.11 (define @t19 () (tptp.f2 @t1)) % 0.85/1.11 (define @t20 () (tptp.ordered_pair_predicate @t1)) % 0.85/1.11 (define @t21 () (not @t20)) % 0.85/1.11 (define @t22 () (tptp.f3 @t1)) % 0.85/1.11 (define @t23 () (@var "Z" $$unsorted)) % 0.85/1.11 (define @t24 () (tptp.ordered_pair @t3 @t23)) % 0.85/1.11 (define @t25 () (not (= @t1 @t24))) % 0.85/1.11 (define @t26 () (not (tptp.little_set @t23))) % 0.85/1.11 (define @t27 () (not (tptp.little_set @t3))) % 0.85/1.11 (define @t28 () (or @t20 @t27 @t26 @t25)) % 0.85/1.11 (define @t29 () (@list @t1 @t3 @t23)) % 0.85/1.11 (define @t30 () (forall @t29 @t28)) % 0.85/1.11 (define @t31 () (tptp.f4 @t23 @t1)) % 0.85/1.11 (define @t32 () (tptp.first @t1)) % 0.85/1.11 (define @t33 () (tptp.member @t23 @t32)) % 0.85/1.11 (define @t34 () (not @t33)) % 0.85/1.11 (define @t35 () (@list @t23 @t1)) % 0.85/1.11 (define @t36 () (tptp.f5 @t23 @t1)) % 0.85/1.11 (define @t37 () (@var "V" $$unsorted)) % 0.85/1.11 (define @t38 () (tptp.ordered_pair @t9 @t37)) % 0.85/1.11 (define @t39 () (not (= @t1 @t38))) % 0.85/1.11 (define @t40 () (not (tptp.little_set @t37))) % 0.85/1.11 (define @t41 () (@list @t23 @t1 @t9 @t37)) % 0.85/1.11 (define @t42 () (tptp.f6 @t23 @t1)) % 0.85/1.11 (define @t43 () (tptp.second @t1)) % 0.85/1.11 (define @t44 () (tptp.member @t23 @t43)) % 0.85/1.11 (define @t45 () (not @t44)) % 0.85/1.11 (define @t46 () (tptp.f7 @t23 @t1)) % 0.85/1.11 (define @t47 () (tptp.ordered_pair_predicate @t23)) % 0.85/1.11 (define @t48 () (tptp.member @t23 tptp.estin)) % 0.85/1.11 (define @t49 () (not @t48)) % 0.85/1.11 (define @t50 () (@list @t23)) % 0.85/1.11 (define @t51 () (tptp.second @t23)) % 0.85/1.11 (define @t52 () (tptp.first @t23)) % 0.85/1.11 (define @t53 () (tptp.member @t52 @t51)) % 0.85/1.11 (define @t54 () (not @t47)) % 0.85/1.11 (define @t55 () (tptp.member @t23 @t1)) % 0.85/1.11 (define @t56 () (tptp.member @t23 (tptp.intersection @t1 @t3))) % 0.85/1.11 (define @t57 () (not @t56)) % 0.85/1.11 (define @t58 () (@list @t23 @t1 @t3)) % 0.85/1.11 (define @t59 () (tptp.member @t23 @t3)) % 0.85/1.11 (define @t60 () (not @t59)) % 0.85/1.11 (define @t61 () (not @t55)) % 0.85/1.11 (define @t62 () (tptp.complement @t1)) % 0.85/1.11 (define @t63 () (tptp.member @t23 @t62)) % 0.85/1.11 (define @t64 () (tptp.f8 @t23 @t1)) % 0.85/1.11 (define @t65 () (tptp.domain_of @t1)) % 0.85/1.11 (define @t66 () (tptp.member @t23 @t65)) % 0.85/1.11 (define @t67 () (not @t66)) % 0.85/1.11 (define @t68 () (@var "Xp" $$unsorted)) % 0.85/1.11 (define @t69 () (not (tptp.member @t68 @t1))) % 0.85/1.11 (define @t70 () (not (tptp.ordered_pair_predicate @t68))) % 0.85/1.11 (define @t71 () (@list @t23 @t1 @t68)) % 0.85/1.11 (define @t72 () (tptp.member @t23 (tptp.cross_product @t1 @t3))) % 0.85/1.11 (define @t73 () (not @t72)) % 0.85/1.11 (define @t74 () (tptp.member @t52 @t1)) % 0.85/1.11 (define @t75 () (tptp.member @t51 @t3)) % 0.85/1.11 (define @t76 () (tptp.member @t23 (tptp.converse @t1))) % 0.85/1.11 (define @t77 () (not @t76)) % 0.85/1.11 (define @t78 () (tptp.member (tptp.ordered_pair @t51 @t52) @t1)) % 0.85/1.11 (define @t79 () (tptp.f9 @t23 @t1)) % 0.85/1.11 (define @t80 () (tptp.member @t23 (tptp.rotate_right @t1))) % 0.85/1.11 (define @t81 () (not @t80)) % 0.85/1.11 (define @t82 () (tptp.f10 @t23 @t1)) % 0.85/1.11 (define @t83 () (tptp.f11 @t23 @t1)) % 0.85/1.11 (define @t84 () (@var "W" $$unsorted)) % 0.85/1.11 (define @t85 () (not (= @t23 (tptp.ordered_pair @t9 (tptp.ordered_pair @t37 @t84))))) % 0.85/1.11 (define @t86 () (not (tptp.little_set @t84))) % 0.85/1.11 (define @t87 () (@list @t23 @t1 @t9 @t37 @t84)) % 0.85/1.11 (define @t88 () (tptp.f12 @t23 @t1)) % 0.85/1.11 (define @t89 () (tptp.member @t23 (tptp.flip_range_of @t1))) % 0.85/1.11 (define @t90 () (not @t89)) % 0.85/1.11 (define @t91 () (tptp.f13 @t23 @t1)) % 0.85/1.11 (define @t92 () (tptp.f14 @t23 @t1)) % 0.85/1.11 (define @t93 () (tptp.successor @t1)) % 0.85/1.11 (define @t94 () (tptp.f16 @t23 @t1)) % 0.85/1.11 (define @t95 () (tptp.member @t23 (tptp.sigma @t1))) % 0.85/1.11 (define @t96 () (not @t95)) % 0.85/1.11 (define @t97 () (@list @t9)) % 0.85/1.11 (define @t98 () (tptp.member @t9 @t3)) % 0.85/1.11 (define @t99 () (not (tptp.member @t9 @t1))) % 0.85/1.11 (define @t100 () (tptp.subset @t1 @t3)) % 0.85/1.11 (define @t101 () (not @t100)) % 0.85/1.11 (define @t102 () (@list @t1 @t3 @t9)) % 0.85/1.11 (define @t103 () (tptp.f17 @t1 @t3)) % 0.85/1.11 (define @t104 () (tptp.proper_subset @t1 @t3)) % 0.85/1.11 (define @t105 () (not @t104)) % 0.85/1.11 (define @t106 () (tptp.subset @t23 @t1)) % 0.85/1.11 (define @t107 () (tptp.member @t23 (tptp.powerset @t1))) % 0.85/1.11 (define @t108 () (tptp.relation @t23)) % 0.85/1.11 (define @t109 () (tptp.f18 @t23)) % 0.85/1.11 (define @t110 () (tptp.single_valued_set @t1)) % 0.85/1.11 (define @t111 () (tptp.f19 @t1)) % 0.85/1.11 (define @t112 () (tptp.f20 @t1)) % 0.85/1.11 (define @t113 () (tptp.f21 @t1)) % 0.85/1.11 (define @t114 () (@var "Xf" $$unsorted)) % 0.85/1.11 (define @t115 () (tptp.relation @t114)) % 0.85/1.11 (define @t116 () (tptp.function @t114)) % 0.85/1.11 (define @t117 () (not @t116)) % 0.85/1.11 (define @t118 () (@list @t114)) % 0.85/1.11 (define @t119 () (tptp.single_valued_set @t114)) % 0.85/1.11 (define @t120 () (tptp.f22 @t23 @t1 @t114)) % 0.85/1.11 (define @t121 () (tptp.image @t1 @t114)) % 0.85/1.11 (define @t122 () (tptp.member @t23 @t121)) % 0.85/1.11 (define @t123 () (not @t122)) % 0.85/1.11 (define @t124 () (@list @t23 @t1 @t114)) % 0.85/1.11 (define @t125 () (not @t2)) % 0.85/1.11 (define @t126 () (tptp.disjoint @t1 @t3)) % 0.85/1.11 (define @t127 () (tptp.f23 @t1 @t3)) % 0.85/1.11 (define @t128 () (tptp.f24 @t1)) % 0.85/1.11 (define @t129 () (= @t1 tptp.empty_set)) % 0.85/1.11 (define @t130 () (tptp.f26 @t1)) % 0.85/1.11 (define @t131 () (tptp.f27 @t23 @t1)) % 0.85/1.11 (define @t132 () (tptp.range_of @t1)) % 0.85/1.11 (define @t133 () (tptp.member @t23 @t132)) % 0.85/1.11 (define @t134 () (not @t133)) % 0.85/1.11 (define @t135 () (tptp.second @t68)) % 0.85/1.11 (define @t136 () (not (= @t23 @t135))) % 0.85/1.11 (define @t137 () (or @t133 @t26 @t70 @t69 @t136)) % 0.85/1.11 (define @t138 () (forall @t71 @t137)) % 0.85/1.11 (define @t139 () (tptp.member @t23 tptp.identity_relation)) % 0.85/1.11 (define @t140 () (not @t139)) % 0.85/1.11 (define @t141 () (= @t52 @t51)) % 0.85/1.11 (define @t142 () (tptp.one_to_one_function @t114)) % 0.85/1.11 (define @t143 () (not @t142)) % 0.85/1.11 (define @t144 () (tptp.function (tptp.converse @t114))) % 0.85/1.11 (define @t145 () (tptp.f28 @t23 @t114 @t3)) % 0.85/1.11 (define @t146 () (tptp.apply @t114 @t3)) % 0.85/1.11 (define @t147 () (tptp.member @t23 @t146)) % 0.85/1.11 (define @t148 () (not @t147)) % 0.85/1.11 (define @t149 () (@list @t23 @t114 @t3)) % 0.85/1.11 (define @t150 () (@list @t114 @t1 @t3)) % 0.85/1.11 (define @t151 () (tptp.maps @t114 @t1 @t3)) % 0.85/1.11 (define @t152 () (not @t151)) % 0.85/1.11 (define @t153 () (tptp.domain_of @t114)) % 0.85/1.11 (define @t154 () (= @t153 @t1)) % 0.85/1.11 (define @t155 () (or @t152 @t154)) % 0.85/1.11 (define @t156 () (forall @t150 @t155)) % 0.85/1.11 (define @t157 () (tptp.subset (tptp.range_of @t114) @t3)) % 0.85/1.11 (define @t158 () (@var "Xs" $$unsorted)) % 0.85/1.11 (define @t159 () (tptp.little_set @t158)) % 0.85/1.11 (define @t160 () (tptp.closed @t158 @t114)) % 0.85/1.11 (define @t161 () (not @t160)) % 0.85/1.11 (define @t162 () (@list @t158 @t114)) % 0.85/1.11 (define @t163 () (tptp.little_set @t114)) % 0.85/1.11 (define @t164 () (tptp.maps @t114 (tptp.cross_product @t158 @t158) @t158)) % 0.85/1.11 (define @t165 () (@var "Xg" $$unsorted)) % 0.85/1.11 (define @t166 () (tptp.f29 @t23 @t114 @t165)) % 0.85/1.11 (define @t167 () (tptp.member @t23 (tptp.compose @t114 @t165))) % 0.85/1.11 (define @t168 () (not @t167)) % 0.85/1.11 (define @t169 () (@list @t23 @t114 @t165)) % 0.85/1.11 (define @t170 () (tptp.f30 @t23 @t114 @t165)) % 0.85/1.11 (define @t171 () (tptp.f31 @t23 @t114 @t165)) % 0.85/1.11 (define @t172 () (@var "Xf1" $$unsorted)) % 0.85/1.11 (define @t173 () (@var "Xs1" $$unsorted)) % 0.85/1.11 (define @t174 () (tptp.closed @t173 @t172)) % 0.85/1.11 (define @t175 () (@var "Xf2" $$unsorted)) % 0.85/1.11 (define @t176 () (@var "Xs2" $$unsorted)) % 0.85/1.11 (define @t177 () (@var "Xh" $$unsorted)) % 0.85/1.11 (define @t178 () (tptp.homomorphism @t177 @t173 @t172 @t176 @t175)) % 0.85/1.11 (define @t179 () (not @t178)) % 0.85/1.11 (define @t180 () (@list @t177 @t173 @t172 @t176 @t175)) % 0.85/1.11 (define @t181 () (tptp.closed @t176 @t175)) % 0.85/1.11 (define @t182 () (tptp.maps @t177 @t173 @t176)) % 0.85/1.11 (define @t183 () (tptp.f32 @t177 @t173 @t172 @t176 @t175)) % 0.85/1.11 (define @t184 () (not @t182)) % 0.85/1.11 (define @t185 () (not @t181)) % 0.85/1.11 (define @t186 () (not @t174)) % 0.85/1.11 (define @t187 () (tptp.f33 @t177 @t173 @t172 @t176 @t175)) % 0.85/1.11 (define @t188 () (not (= @t18 @t38))) % 0.85/1.11 (define @t189 () (tptp.second @t18)) % 0.85/1.11 (define @t190 () (or @t125 @t27 (= @t189 @t3))) % 0.85/1.11 (define @t191 () (forall @t4 @t190)) % 0.85/1.11 (define @t192 () (tptp.image (tptp.singleton_set @t3) @t114)) % 0.85/1.11 (define @t193 () (not (tptp.function @t3))) % 0.85/1.11 (define @t194 () (@list @t3 @t1)) % 0.85/1.11 (define @t195 () (tptp.compose @t3 @t1)) % 0.85/1.11 (define @t196 () (tptp.apply @t114 @t1)) % 0.85/1.11 (define @t197 () (= @t196 @t3)) % 0.85/1.11 (define @t198 () (tptp.member @t18 @t114)) % 0.85/1.11 (define @t199 () (not @t197)) % 0.85/1.11 (define @t200 () (not (tptp.member @t1 @t153))) % 0.85/1.11 (define @t201 () (or @t117 @t200 @t199 @t198)) % 0.85/1.11 (define @t202 () (forall @t150 @t201)) % 0.85/1.11 (define @t203 () (tptp.maps tptp.a_function tptp.a_domain tptp.a_range)) % 0.85/1.11 (define @t204 () (tptp.member tptp.a tptp.a_domain)) % 0.85/1.11 (define @t205 () (tptp.apply tptp.a_function tptp.a)) % 0.85/1.11 (define @t206 () (tptp.member @t205 tptp.a_range)) % 0.85/1.11 (define @t207 () (tptp.range_of tptp.a_function)) % 0.85/1.11 (define @t208 () (@list tptp.a_function tptp.a_domain tptp.a_range)) % 0.85/1.11 (define @t209 () (tptp.subset @t207 tptp.a_range)) % 0.85/1.11 (define @t210 () (not @t203)) % 0.85/1.11 (define @t211 () (or @t210 @t209)) % 0.85/1.11 (define @t212 () (@list false false)) % 0.85/1.11 (define @t213 () (not (tptp.member @t205 @t207))) % 0.85/1.11 (define @t214 () (not @t209)) % 0.85/1.11 (define @t215 () (or @t214 @t213 @t206)) % 0.85/1.11 (define @t216 () (@list tptp.a @t205)) % 0.85/1.11 (define @t217 () (@list tptp.a_function tptp.a)) % 0.85/1.11 (define @t218 () (tptp.function tptp.a_function)) % 0.85/1.11 (define @t219 () (or @t210 @t218)) % 0.85/1.11 (define @t220 () (tptp.little_set @t205)) % 0.85/1.11 (define @t221 () (not @t218)) % 0.85/1.11 (define @t222 () (or @t221 @t220)) % 0.85/1.11 (define @t223 () (tptp.little_set tptp.a)) % 0.85/1.11 (define @t224 () (not @t204)) % 0.85/1.11 (define @t225 () (or @t224 @t223)) % 0.85/1.11 (define @t226 () (tptp.ordered_pair tptp.a @t205)) % 0.85/1.11 (define @t227 () (tptp.second @t226)) % 0.85/1.11 (define @t228 () (= @t205 @t227)) % 0.85/1.11 (define @t229 () (not @t220)) % 0.85/1.11 (define @t230 () (not @t223)) % 0.85/1.11 (define @t231 () (or @t230 @t229 @t228)) % 0.85/1.11 (define @t232 () (@list false false false)) % 0.85/1.11 (define @t233 () (tptp.member @t227 @t207)) % 0.85/1.11 (define @t234 () (not (tptp.little_set @t135))) % 0.85/1.11 (define @t235 () (tptp.member @t135 @t132)) % 0.85/1.11 (define @t236 () (not (= @t135 @t135))) % 0.85/1.11 (define @t237 () (or @t235 @t234 @t70 @t69 @t236)) % 0.85/1.11 (define @t238 () (@list @t1 @t68)) % 0.85/1.11 (define @t239 () (or @t136 @t133 @t26 @t70 @t69 @t136)) % 0.85/1.11 (define @t240 () (forall @t50 @t137)) % 0.85/1.11 (define @t241 () (forall @t238 @t240)) % 0.85/1.11 (define @t242 () (forall (@list @t1 @t68 @t23) @t137)) % 0.85/1.11 (define @t243 () (tptp.little_set @t227)) % 0.85/1.11 (define @t244 () (tptp.ordered_pair_predicate @t24)) % 0.85/1.11 (define @t245 () (not (= @t24 @t24))) % 0.85/1.11 (define @t246 () (or @t244 @t27 @t26 @t245)) % 0.85/1.11 (define @t247 () (@list @t3 @t23)) % 0.85/1.11 (define @t248 () (or @t25 @t20 @t27 @t26 @t25)) % 0.85/1.11 (define @t249 () (forall @t17 @t28)) % 0.85/1.11 (define @t250 () (forall @t247 @t249)) % 0.85/1.11 (define @t251 () (forall (@list @t3 @t23 @t1) @t28)) % 0.85/1.11 (define @t252 () (tptp.ordered_pair_predicate @t226)) % 0.85/1.11 (define @t253 () (or @t252 @t230 @t229)) % 0.85/1.11 (define @t254 () (tptp.member (tptp.ordered_pair @t1 @t196) @t114)) % 0.85/1.11 (define @t255 () (not (= @t196 @t196))) % 0.85/1.11 (define @t256 () (or @t117 @t200 @t255 @t254)) % 0.85/1.11 (define @t257 () (@list @t114 @t1)) % 0.85/1.11 (define @t258 () (not (= @t3 @t196))) % 0.85/1.11 (define @t259 () (or @t258 @t117 @t200 @t258 @t198)) % 0.85/1.11 (define @t260 () (@list @t3)) % 0.85/1.11 (define @t261 () (or @t117 @t200 @t258 @t198)) % 0.85/1.11 (define @t262 () (forall @t260 @t261)) % 0.85/1.11 (define @t263 () (forall @t257 @t262)) % 0.85/1.11 (define @t264 () (tptp.domain_of tptp.a_function)) % 0.85/1.11 (define @t265 () (= tptp.a_domain @t264)) % 0.85/1.11 (define @t266 () (or @t210 @t265)) % 0.85/1.11 (define @t267 () (tptp.member tptp.a @t264)) % 0.85/1.11 (define @t268 () (tptp.member @t226 tptp.a_function)) % 0.85/1.11 (define @t269 () (not @t267)) % 0.85/1.11 (define @t270 () (or @t221 @t269 @t268)) % 0.85/1.11 (define @t271 () (not @t268)) % 0.85/1.11 (define @t272 () (not @t252)) % 0.85/1.11 (define @t273 () (not @t243)) % 0.85/1.11 (define @t274 () (or @t233 @t273 @t272 @t271)) % 0.85/1.11 (assume @p1 (forall @t4 (or (not (tptp.member @t1 @t3)) @t2))) % 0.85/1.11 (assume @p2 (forall @t4 (or (tptp.little_set @t6) @t5))) % 0.85/1.11 (assume @p3 (forall @t4 (or @t8 @t7 @t5))) % 0.85/1.11 (assume @p4 (forall @t4 (or (not @t8) (not @t7) @t5))) % 0.85/1.11 (assume @p5 (forall @t14 (or (not @t13) @t11 @t10))) % 0.85/1.11 (assume @p6 (forall @t14 (or @t13 @t15 (not @t11)))) % 0.85/1.11 (assume @p7 (forall @t14 (or @t13 @t15 (not @t10)))) % 0.85/1.11 (assume @p8 (forall @t4 (tptp.little_set @t12))) % 0.85/1.11 (assume @p9 (forall @t17 (= @t16 (tptp.non_ordered_pair @t1 @t1)))) % 0.85/1.11 (assume @p10 (forall @t4 (= @t18 (tptp.non_ordered_pair @t16 @t12)))) % 0.85/1.11 (assume @p11 (forall @t17 (or @t21 (tptp.little_set @t19)))) % 0.85/1.11 (assume @p12 (forall @t17 (or @t21 (tptp.little_set @t22)))) % 0.85/1.11 (assume @p13 (forall @t17 (or @t21 (= @t1 (tptp.ordered_pair @t19 @t22))))) % 0.85/1.11 (assume @p14 @t30) % 0.85/1.11 (assume @p15 (forall @t35 (or @t34 (tptp.little_set @t31)))) % 0.85/1.11 (assume @p16 (forall @t35 (or @t34 (tptp.little_set @t36)))) % 0.85/1.11 (assume @p17 (forall @t35 (or @t34 (= @t1 (tptp.ordered_pair @t31 @t36))))) % 0.85/1.11 (assume @p18 (forall @t35 (or @t34 (tptp.member @t23 @t31)))) % 0.85/1.11 (assume @p19 (forall @t41 (or @t33 @t15 @t40 @t39 (not (tptp.member @t23 @t9))))) % 0.85/1.11 (assume @p20 (forall @t35 (or @t45 (tptp.little_set @t42)))) % 0.85/1.11 (assume @p21 (forall @t35 (or @t45 (tptp.little_set @t46)))) % 0.85/1.11 (assume @p22 (forall @t35 (or @t45 (= @t1 (tptp.ordered_pair @t42 @t46))))) % 0.85/1.11 (assume @p23 (forall @t35 (or @t45 (tptp.member @t23 @t46)))) % 0.85/1.11 (assume @p24 (forall @t41 (or @t44 @t15 @t40 @t39 (not (tptp.member @t23 @t37))))) % 0.85/1.11 (assume @p25 (forall @t50 (or @t49 @t47))) % 0.85/1.11 (assume @p26 (forall @t50 (or @t49 @t53))) % 0.85/1.11 (assume @p27 (forall @t50 (or @t48 @t26 @t54 (not @t53)))) % 0.85/1.11 (assume @p28 (forall @t58 (or @t57 @t55))) % 0.85/1.11 (assume @p29 (forall @t58 (or @t57 @t59))) % 0.85/1.11 (assume @p30 (forall @t58 (or @t56 @t61 @t60))) % 0.85/1.11 (assume @p31 (forall @t35 (or (not @t63) @t61))) % 0.85/1.11 (assume @p32 (forall @t35 (or @t63 @t26 @t55))) % 0.85/1.11 (assume @p33 (forall @t4 (= (tptp.union @t1 @t3) (tptp.complement (tptp.intersection @t62 (tptp.complement @t3)))))) % 0.85/1.11 (assume @p34 (forall @t35 (or @t67 (tptp.ordered_pair_predicate @t64)))) % 0.85/1.11 (assume @p35 (forall @t35 (or @t67 (tptp.member @t64 @t1)))) % 0.85/1.11 (assume @p36 (forall @t35 (or @t67 (= @t23 (tptp.first @t64))))) % 0.85/1.11 (assume @p37 (forall @t71 (or @t66 @t26 @t70 @t69 (not (= @t23 (tptp.first @t68)))))) % 0.85/1.11 (assume @p38 (forall @t58 (or @t73 @t47))) % 0.85/1.11 (assume @p39 (forall @t58 (or @t73 @t74))) % 0.85/1.11 (assume @p40 (forall @t58 (or @t73 @t75))) % 0.85/1.11 (assume @p41 (forall @t58 (or @t72 @t26 @t54 (not @t74) (not @t75)))) % 0.85/1.11 (assume @p42 (forall @t35 (or @t77 @t47))) % 0.85/1.11 (assume @p43 (forall @t35 (or @t77 @t78))) % 0.85/1.11 (assume @p44 (forall @t35 (or @t76 @t26 @t54 (not @t78)))) % 0.85/1.12 (assume @p45 (forall @t35 (or @t81 (tptp.little_set @t79)))) % 0.85/1.12 (assume @p46 (forall @t35 (or @t81 (tptp.little_set @t82)))) % 0.85/1.12 (assume @p47 (forall @t35 (or @t81 (tptp.little_set @t83)))) % 0.85/1.12 (assume @p48 (forall @t35 (or @t81 (= @t23 (tptp.ordered_pair @t79 (tptp.ordered_pair @t82 @t83)))))) % 0.85/1.12 (assume @p49 (forall @t35 (or @t81 (tptp.member (tptp.ordered_pair @t82 (tptp.ordered_pair @t83 @t79)) @t1)))) % 0.85/1.12 (assume @p50 (forall @t87 (or @t80 @t26 @t15 @t40 @t86 @t85 (not (tptp.member (tptp.ordered_pair @t37 (tptp.ordered_pair @t84 @t9)) @t1))))) % 0.85/1.12 (assume @p51 (forall @t35 (or @t90 (tptp.little_set @t88)))) % 0.85/1.12 (assume @p52 (forall @t35 (or @t90 (tptp.little_set @t91)))) % 0.85/1.12 (assume @p53 (forall @t35 (or @t90 (tptp.little_set @t92)))) % 0.85/1.12 (assume @p54 (forall @t35 (or @t90 (= @t23 (tptp.ordered_pair @t88 (tptp.ordered_pair @t91 @t92)))))) % 0.85/1.12 (assume @p55 (forall @t35 (or @t90 (tptp.member (tptp.ordered_pair @t88 (tptp.ordered_pair @t92 @t91)) @t1)))) % 0.85/1.12 (assume @p56 (forall @t87 (or @t89 @t26 @t15 @t40 @t86 @t85 (not (tptp.member (tptp.ordered_pair @t9 (tptp.ordered_pair @t84 @t37)) @t1))))) % 0.85/1.12 (assume @p57 (forall @t17 (= @t93 (tptp.union @t1 @t16)))) % 0.85/1.12 (assume @p58 (forall @t50 (not (tptp.member @t23 tptp.empty_set)))) % 0.85/1.12 (assume @p59 (forall @t50 (or (tptp.member @t23 tptp.universal_set) @t26))) % 0.85/1.12 (assume @p60 (tptp.little_set tptp.infinity)) % 0.85/1.12 (assume @p61 (tptp.member tptp.empty_set tptp.infinity)) % 0.85/1.12 (assume @p62 (forall @t17 (or (not (tptp.member @t1 tptp.infinity)) (tptp.member @t93 tptp.infinity)))) % 0.85/1.12 (assume @p63 (forall @t35 (or @t96 (tptp.member @t94 @t1)))) % 0.85/1.12 (assume @p64 (forall @t35 (or @t96 (tptp.member @t23 @t94)))) % 0.85/1.12 (assume @p65 (forall @t58 (or @t95 (not (tptp.member @t3 @t1)) @t60))) % 0.85/1.12 (assume @p66 (forall @t97 (or @t15 (tptp.little_set (tptp.sigma @t9))))) % 0.85/1.12 (assume @p67 (forall @t102 (or @t101 @t99 @t98))) % 0.85/1.12 (assume @p68 (forall @t4 (or @t100 (tptp.member @t103 @t1)))) % 0.85/1.12 (assume @p69 (forall @t4 (or @t100 (not (tptp.member @t103 @t3))))) % 0.85/1.12 (assume @p70 (forall @t4 (or @t105 @t100))) % 0.85/1.12 (assume @p71 (forall @t4 (or @t105 (not @t5)))) % 0.85/1.12 (assume @p72 (forall @t4 (or @t104 @t101 @t5))) % 0.85/1.12 (assume @p73 (forall @t35 (or (not @t107) @t106))) % 0.85/1.12 (assume @p74 (forall @t35 (or @t107 @t26 (not @t106)))) % 0.85/1.12 (assume @p75 (forall @t97 (or @t15 (tptp.little_set (tptp.powerset @t9))))) % 0.85/1.12 (assume @p76 (forall @t35 (or (not @t108) (not (tptp.member @t1 @t23)) @t20))) % 0.85/1.12 (assume @p77 (forall @t50 (or @t108 (tptp.member @t109 @t23)))) % 0.85/1.12 (assume @p78 (forall @t50 (or @t108 (not (tptp.ordered_pair_predicate @t109))))) % 0.85/1.12 (assume @p79 (forall (@list @t1 @t9 @t37 @t84) (or (not @t110) @t15 @t40 @t86 (not (tptp.member @t38 @t1)) (not (tptp.member (tptp.ordered_pair @t9 @t84) @t1)) (= @t37 @t84)))) % 0.85/1.12 (assume @p80 (forall @t17 (or @t110 (tptp.little_set @t111)))) % 0.85/1.12 (assume @p81 (forall @t17 (or @t110 (tptp.little_set @t112)))) % 0.85/1.12 (assume @p82 (forall @t17 (or @t110 (tptp.little_set @t113)))) % 0.85/1.12 (assume @p83 (forall @t17 (or @t110 (tptp.member (tptp.ordered_pair @t111 @t112) @t1)))) % 0.85/1.12 (assume @p84 (forall @t17 (or @t110 (tptp.member (tptp.ordered_pair @t111 @t113) @t1)))) % 0.85/1.12 (assume @p85 (forall @t17 (or @t110 (not (= @t112 @t113))))) % 0.85/1.12 (assume @p86 (forall @t118 (or @t117 @t115))) % 0.85/1.12 (assume @p87 (forall @t118 (or @t117 @t119))) % 0.85/1.12 (assume @p88 (forall @t118 (or @t116 (not @t115) (not @t119)))) % 0.85/1.12 (assume @p89 (forall @t124 (or @t123 (tptp.ordered_pair_predicate @t120)))) % 0.85/1.12 (assume @p90 (forall @t124 (or @t123 (tptp.member @t120 @t114)))) % 0.85/1.12 (assume @p91 (forall @t124 (or @t123 (tptp.member (tptp.first @t120) @t1)))) % 0.85/1.12 (assume @p92 (forall @t124 (or @t123 (= (tptp.second @t120) @t23)))) % 0.85/1.12 (assume @p93 (forall (@list @t23 @t1 @t114 @t3) (or @t122 @t26 (not (tptp.ordered_pair_predicate @t3)) (not (tptp.member @t3 @t114)) (not (tptp.member (tptp.first @t3) @t1)) (not (= (tptp.second @t3) @t23))))) % 0.85/1.12 (assume @p94 (forall (@list @t1 @t114) (or @t125 @t117 (tptp.little_set @t121)))) % 0.85/1.12 (assume @p95 (forall @t102 (or (not @t126) @t99 (not @t98)))) % 0.85/1.12 (assume @p96 (forall @t4 (or @t126 (tptp.member @t127 @t1)))) % 0.85/1.12 (assume @p97 (forall @t4 (or @t126 (tptp.member @t127 @t3)))) % 0.85/1.12 (assume @p98 (forall @t17 (or @t129 (tptp.member @t128 @t1)))) % 0.85/1.12 (assume @p99 (forall @t17 (or @t129 (tptp.disjoint @t128 @t1)))) % 0.85/1.12 (assume @p100 (tptp.function tptp.f25)) % 0.85/1.12 (assume @p101 (forall @t17 (or @t125 @t129 (tptp.member @t130 @t1)))) % 0.85/1.12 (assume @p102 (forall @t17 (or @t125 @t129 (tptp.member (tptp.ordered_pair @t1 @t130) tptp.f25)))) % 0.85/1.12 (assume @p103 (forall @t35 (or @t134 (tptp.ordered_pair_predicate @t131)))) % 0.85/1.12 (assume @p104 (forall @t35 (or @t134 (tptp.member @t131 @t1)))) % 0.85/1.12 (assume @p105 (forall @t35 (or @t134 (= @t23 (tptp.second @t131))))) % 0.85/1.12 (assume @p106 @t138) % 0.85/1.12 (assume @p107 (forall @t50 (or @t140 @t47))) % 0.85/1.12 (assume @p108 (forall @t50 (or @t140 @t141))) % 0.85/1.12 (assume @p109 (forall @t50 (or @t139 @t26 @t54 (not @t141)))) % 0.85/1.12 (assume @p110 (forall @t4 (= (tptp.restrict @t1 @t3) (tptp.intersection @t1 (tptp.cross_product @t3 tptp.universal_set))))) % 0.85/1.12 (assume @p111 (forall @t118 (or @t143 @t116))) % 0.85/1.12 (assume @p112 (forall @t118 (or @t143 @t144))) % 0.85/1.12 (assume @p113 (forall @t118 (or @t142 @t117 (not @t144)))) % 0.85/1.12 (assume @p114 (forall @t149 (or @t148 (tptp.ordered_pair_predicate @t145)))) % 0.85/1.12 (assume @p115 (forall @t149 (or @t148 (tptp.member @t145 @t114)))) % 0.85/1.12 (assume @p116 (forall @t149 (or @t148 (= (tptp.first @t145) @t3)))) % 0.85/1.12 (assume @p117 (forall @t149 (or @t148 (tptp.member @t23 (tptp.second @t145))))) % 0.85/1.12 (assume @p118 (forall (@list @t23 @t114 @t3 @t84) (or @t147 (not (tptp.ordered_pair_predicate @t84)) (not (tptp.member @t84 @t114)) (not (= (tptp.first @t84) @t3)) (not (tptp.member @t23 (tptp.second @t84)))))) % 0.85/1.12 (assume @p119 (forall @t150 (= (tptp.apply_to_two_arguments @t114 @t1 @t3) (tptp.apply @t114 @t18)))) % 0.85/1.12 (assume @p120 (forall @t150 (or @t152 @t116))) % 0.85/1.12 (assume @p121 @t156) % 0.85/1.12 (assume @p122 (forall @t150 (or @t152 @t157))) % 0.85/1.12 (assume @p123 (forall @t150 (or @t151 @t117 (not @t154) (not @t157)))) % 0.85/1.12 (assume @p124 (forall @t162 (or @t161 @t159))) % 0.85/1.12 (assume @p125 (forall @t162 (or @t161 @t163))) % 0.85/1.12 (assume @p126 (forall @t162 (or @t161 @t164))) % 0.85/1.12 (assume @p127 (forall @t162 (or @t160 (not @t159) (not @t163) (not @t164)))) % 0.85/1.12 (assume @p128 (forall @t169 (or @t168 (tptp.little_set @t166)))) % 0.85/1.12 (assume @p129 (forall @t169 (or @t168 (tptp.little_set @t170)))) % 0.85/1.12 (assume @p130 (forall @t169 (or @t168 (tptp.little_set @t171)))) % 0.85/1.12 (assume @p131 (forall @t169 (or @t168 (= @t23 (tptp.ordered_pair @t166 @t170))))) % 0.85/1.12 (assume @p132 (forall @t169 (or @t168 (tptp.member (tptp.ordered_pair @t166 @t171) @t114)))) % 0.85/1.12 (assume @p133 (forall @t169 (or @t168 (tptp.member (tptp.ordered_pair @t171 @t170) @t165)))) % 0.85/1.12 (assume @p134 (forall (@list @t23 @t114 @t165 @t1 @t3 @t84) (or @t167 @t26 @t125 @t27 @t86 (not (= @t23 @t18)) (not (tptp.member (tptp.ordered_pair @t1 @t84) @t114)) (not (tptp.member (tptp.ordered_pair @t84 @t3) @t165))))) % 0.85/1.12 (assume @p135 (forall @t180 (or @t179 @t174))) % 0.85/1.12 (assume @p136 (forall @t180 (or @t179 @t181))) % 0.85/1.12 (assume @p137 (forall @t180 (or @t179 @t182))) % 0.85/1.12 (assume @p138 (forall (@list @t177 @t173 @t172 @t176 @t175 @t1 @t3) (or @t179 (not (tptp.member @t1 @t173)) (not (tptp.member @t3 @t173)) (= (tptp.apply @t177 (tptp.apply_to_two_arguments @t172 @t1 @t3)) (tptp.apply_to_two_arguments @t175 (tptp.apply @t177 @t1) (tptp.apply @t177 @t3)))))) % 0.85/1.12 (assume @p139 (forall @t180 (or @t178 @t186 @t185 @t184 (tptp.member @t183 @t173)))) % 0.85/1.12 (assume @p140 (forall @t180 (or @t178 @t186 @t185 @t184 (tptp.member @t187 @t173)))) % 0.85/1.12 (assume @p141 (forall @t180 (or @t178 @t186 @t185 @t184 (not (= (tptp.apply @t177 (tptp.apply_to_two_arguments @t172 @t183 @t187)) (tptp.apply_to_two_arguments @t175 (tptp.apply @t177 @t183) (tptp.apply @t177 @t187))))))) % 0.85/1.12 (assume @p142 (forall (@list @t1 @t9 @t3 @t37) (or @t125 @t15 @t188 (= @t1 @t9)))) % 0.85/1.12 (assume @p143 (forall @t29 (or @t125 @t27 (not (= (tptp.non_ordered_pair @t23 @t1) (tptp.non_ordered_pair @t23 @t3))) @t5))) % 0.85/1.12 (assume @p144 (forall (@list @t1 @t3 @t9 @t37) (or @t125 @t27 @t15 @t40 @t188 (= @t3 @t37)))) % 0.85/1.12 (assume @p145 (forall @t4 (or @t101 (not (tptp.subset @t3 @t1)) @t5))) % 0.85/1.12 (assume @p146 (forall @t4 (or @t125 @t27 (= (tptp.first @t18) @t1)))) % 0.85/1.12 (assume @p147 @t191) % 0.85/1.12 (assume @p148 (forall @t17 (or @t21 (tptp.little_set @t32)))) % 0.85/1.12 (assume @p149 (forall @t17 (or @t21 (tptp.little_set @t43)))) % 0.85/1.12 (assume @p150 (forall @t17 (or @t125 (tptp.member @t1 @t16)))) % 0.85/1.12 (assume @p151 (forall @t4 (tptp.little_set @t18))) % 0.85/1.12 (assume @p152 (forall @t17 (or @t21 @t2))) % 0.85/1.12 (assume @p153 (forall @t29 (or @t101 (not (tptp.subset @t3 @t23)) (tptp.subset @t1 @t23)))) % 0.85/1.12 (assume @p154 (forall (@list @t114 @t3) (tptp.subset @t146 (tptp.sigma @t192)))) % 0.85/1.12 (assume @p155 (forall (@list @t3 @t114) (tptp.subset @t192 @t146))) % 0.85/1.12 (assume @p156 (forall @t194 (or @t193 (tptp.little_set (tptp.apply @t3 @t1))))) % 0.85/1.12 (assume @p157 (forall @t194 (tptp.relation @t195))) % 0.85/1.12 (assume @p158 (forall @t194 (tptp.subset (tptp.range_of @t195) (tptp.range_of @t3)))) % 0.85/1.12 (assume @p159 (forall @t4 (or (not (tptp.subset @t132 (tptp.domain_of @t3))) (= @t65 (tptp.domain_of @t195))))) % 0.85/1.12 (assume @p160 (forall @t4 (or (not (tptp.function @t1)) @t193 (tptp.function @t195)))) % 0.85/1.12 (assume @p161 (forall (@list @t114 @t9 @t37 @t165 @t84) (or (not (tptp.maps @t114 @t9 @t37)) (not (tptp.maps @t165 @t37 @t84)) (tptp.maps (tptp.compose @t165 @t114) @t9 @t84)))) % 0.85/1.12 (assume @p162 (forall (@list @t1 @t3 @t114) (or @t125 @t27 @t117 (not @t198) @t197))) % 0.85/1.12 (assume @p163 @t202) % 0.85/1.12 (assume @p164 @t203) % 0.85/1.12 (assume @p165 @t204) % 0.85/1.12 (assume @p166 (not @t206)) % 0.85/1.12 (step @p167 :rule evaluate :args ((= true false))) % 0.85/1.12 (step @p168 :rule instantiate :premises (@p67) :args ((@list @t207 tptp.a_range @t205))) % 0.85/1.12 (step @p169 :rule instantiate :premises (@p122) :args (@t208)) % 0.85/1.12 (step @p170 :rule cnf_or_pos :args (@t211)) % 0.85/1.12 (step @p171 :rule reordering :premises (@p170) :args ((or @t210 @t209 (not @t211)))) % 0.85/1.12 (step @p172 :rule chain_m_resolution :premises (@p171 @p164 @p169) :args (@t209 @t212 (@list @t203 @t211))) % 0.85/1.12 (step @p173 :rule cnf_or_pos :args (@t215)) % 0.85/1.12 (step @p174 :rule reordering :premises (@p173) :args ((or @t206 @t214 @t213 (not @t215)))) % 0.85/1.12 (step @p175 :rule chain_m_resolution :premises (@p174 @p166 @p172 @p168) :args (@t213 (@list true false false) (@list @t206 @t209 @t215))) % 0.85/1.12 (step @p176 :rule false_intro :premises (@p175)) % 0.85/1.12 (step @p177 :rule refl :args (@t207)) % 0.85/1.12 (step @p178 :rule eq-symm :args (@t189 @t3)) % 0.85/1.12 (step @p179 :rule refl :args (@t27)) % 0.85/1.12 (step @p180 :rule refl :args (@t125)) % 0.85/1.12 (step @p181 :rule nary_cong :premises (@p180 @p179 @p178) :args (@t190)) % 0.85/1.12 (step @p182 :rule cong :premises (@p181) :args (@t191)) % 0.85/1.12 (step @p183 :rule eq_resolve :premises (@p147 @p182)) % 0.85/1.12 (step @p184 :rule instantiate :premises (@p183) :args (@t216)) % 0.85/1.12 (step @p185 :rule instantiate :premises (@p156) :args (@t217)) % 0.85/1.12 (step @p186 :rule instantiate :premises (@p120) :args (@t208)) % 0.85/1.12 (step @p187 :rule cnf_or_pos :args (@t219)) % 0.85/1.12 (step @p188 :rule reordering :premises (@p187) :args ((or @t210 @t218 (not @t219)))) % 0.85/1.12 (step @p189 :rule chain_m_resolution :premises (@p188 @p164 @p186) :args (@t218 @t212 (@list @t203 @t219))) % 0.85/1.12 (step @p190 :rule cnf_or_pos :args (@t222)) % 0.85/1.12 (step @p191 :rule reordering :premises (@p190) :args ((or @t221 @t220 (not @t222)))) % 0.85/1.12 (step @p192 :rule chain_m_resolution :premises (@p191 @p189 @p185) :args (@t220 @t212 (@list @t218 @t222))) % 0.85/1.12 (step @p193 :rule instantiate :premises (@p1) :args ((@list tptp.a tptp.a_domain))) % 0.85/1.12 (step @p194 :rule cnf_or_pos :args (@t225)) % 0.85/1.12 (step @p195 :rule reordering :premises (@p194) :args ((or @t224 @t223 (not @t225)))) % 0.85/1.12 (step @p196 :rule chain_m_resolution :premises (@p195 @p165 @p193) :args (@t223 @t212 (@list @t204 @t225))) % 0.85/1.12 (step @p197 :rule cnf_or_pos :args (@t231)) % 0.85/1.12 (step @p198 :rule reordering :premises (@p197) :args ((or @t230 @t229 @t228 (not @t231)))) % 0.85/1.12 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p192 @p184) :args (@t228 @t232 (@list @t223 @t220 @t231))) % 0.85/1.12 (step @p200 :rule symm :premises (@p199)) % 0.85/1.12 (step @p201 :rule cong :premises (@p200 @p177) :args (@t233)) % 0.85/1.12 (step @p202 :rule aci_norm :args ((= (or @t235 @t234 @t70 @t69 false) (or @t235 @t234 @t70 @t69)))) % 0.85/1.12 (step @p203 :rule evaluate :args ((not true))) % 0.85/1.12 (step @p204 :rule eq-refl :args (@t135)) % 0.85/1.12 (step @p205 :rule cong :premises (@p204) :args (@t236)) % 0.85/1.12 (step @p206 :rule trans :premises (@p205 @p203)) % 0.85/1.12 (step @p207 :rule refl :args (@t69)) % 0.85/1.12 (step @p208 :rule refl :args (@t70)) % 0.85/1.12 (step @p209 :rule refl :args (@t234)) % 0.85/1.12 (step @p210 :rule refl :args (@t235)) % 0.85/1.12 (step @p211 :rule nary_cong :premises (@p210 @p209 @p208 @p207 @p206) :args (@t237)) % 0.85/1.12 (step @p212 :rule trans :premises (@p211 @p202)) % 0.85/1.12 (step @p213 :rule cong :premises (@p212) :args ((forall @t238 @t237))) % 0.85/1.12 (step @p214 :rule quant-var-elim-eq :args ((= (forall @t50 @t239) @t237))) % 0.85/1.12 (step @p215 :rule aci_norm :args ((= @t137 @t239))) % 0.85/1.12 (step @p216 :rule cong :premises (@p215) :args (@t240)) % 0.85/1.12 (step @p217 :rule trans :premises (@p216 @p214)) % 0.85/1.12 (step @p218 :rule cong :premises (@p217) :args (@t241)) % 0.85/1.12 (step @p219 :rule quant-merge-prenex :args ((= @t241 @t242))) % 0.85/1.12 (step @p220 :rule symm :premises (@p219)) % 0.85/1.12 (step @p221 :rule quant_var_reordering :args ((= @t138 @t242))) % 0.85/1.12 (step @p222 :rule trans :premises (@p221 @p220 @p218)) % 0.85/1.12 (step @p223 :rule trans :premises (@p222 @p213)) % 0.85/1.12 (step @p224 :rule eq_resolve :premises (@p106 @p223)) % 0.85/1.12 (step @p225 :rule instantiate :premises (@p224) :args ((@list tptp.a_function @t226))) % 0.85/1.12 (step @p226 :rule true_intro :premises (@p192)) % 0.85/1.12 (step @p227 :rule cong :premises (@p200) :args (@t243)) % 0.85/1.12 (step @p228 :rule trans :premises (@p227 @p226)) % 0.85/1.12 (step @p229 :rule true_elim :premises (@p228)) % 0.85/1.12 (step @p230 :rule aci_norm :args ((= (or @t244 @t27 @t26 false) (or @t244 @t27 @t26)))) % 0.85/1.12 (step @p231 :rule eq-refl :args (@t24)) % 0.85/1.12 (step @p232 :rule cong :premises (@p231) :args (@t245)) % 0.85/1.12 (step @p233 :rule trans :premises (@p232 @p203)) % 0.85/1.12 (step @p234 :rule refl :args (@t26)) % 0.85/1.12 (step @p235 :rule refl :args (@t244)) % 0.85/1.12 (step @p236 :rule nary_cong :premises (@p235 @p179 @p234 @p233) :args (@t246)) % 0.85/1.12 (step @p237 :rule trans :premises (@p236 @p230)) % 0.85/1.12 (step @p238 :rule cong :premises (@p237) :args ((forall @t247 @t246))) % 0.85/1.12 (step @p239 :rule quant-var-elim-eq :args ((= (forall @t17 @t248) @t246))) % 0.85/1.12 (step @p240 :rule aci_norm :args ((= @t28 @t248))) % 0.85/1.12 (step @p241 :rule cong :premises (@p240) :args (@t249)) % 0.85/1.12 (step @p242 :rule trans :premises (@p241 @p239)) % 0.85/1.12 (step @p243 :rule cong :premises (@p242) :args (@t250)) % 0.85/1.12 (step @p244 :rule quant-merge-prenex :args ((= @t250 @t251))) % 0.85/1.12 (step @p245 :rule symm :premises (@p244)) % 0.85/1.12 (step @p246 :rule quant_var_reordering :args ((= @t30 @t251))) % 0.85/1.12 (step @p247 :rule trans :premises (@p246 @p245 @p243)) % 0.85/1.12 (step @p248 :rule trans :premises (@p247 @p238)) % 0.85/1.12 (step @p249 :rule eq_resolve :premises (@p14 @p248)) % 0.85/1.12 (step @p250 :rule instantiate :premises (@p249) :args (@t216)) % 0.85/1.12 (step @p251 :rule cnf_or_pos :args (@t253)) % 0.85/1.12 (step @p252 :rule reordering :premises (@p251) :args ((or @t230 @t229 @t252 (not @t253)))) % 0.85/1.12 (step @p253 :rule chain_m_resolution :premises (@p252 @p196 @p192 @p250) :args (@t252 @t232 (@list @t223 @t220 @t253))) % 0.85/1.12 (step @p254 :rule aci_norm :args ((= (or @t117 @t200 false @t254) (or @t117 @t200 @t254)))) % 0.85/1.12 (step @p255 :rule refl :args (@t254)) % 0.85/1.12 (step @p256 :rule eq-refl :args (@t196)) % 0.85/1.12 (step @p257 :rule cong :premises (@p256) :args (@t255)) % 0.85/1.12 (step @p258 :rule trans :premises (@p257 @p203)) % 0.85/1.12 (step @p259 :rule refl :args (@t200)) % 0.85/1.12 (step @p260 :rule refl :args (@t117)) % 0.85/1.12 (step @p261 :rule nary_cong :premises (@p260 @p259 @p258 @p255) :args (@t256)) % 0.85/1.12 (step @p262 :rule trans :premises (@p261 @p254)) % 0.85/1.12 (step @p263 :rule cong :premises (@p262) :args ((forall @t257 @t256))) % 0.85/1.12 (step @p264 :rule quant-var-elim-eq :args ((= (forall @t260 @t259) @t256))) % 0.85/1.12 (step @p265 :rule aci_norm :args ((= @t261 @t259))) % 0.85/1.12 (step @p266 :rule cong :premises (@p265) :args (@t262)) % 0.85/1.12 (step @p267 :rule trans :premises (@p266 @p264)) % 0.85/1.12 (step @p268 :rule cong :premises (@p267) :args (@t263)) % 0.85/1.12 (step @p269 :rule quant-merge-prenex :args ((= @t263 (forall @t150 @t261)))) % 0.85/1.12 (step @p270 :rule symm :premises (@p269)) % 0.85/1.12 (step @p271 :rule trans :premises (@p270 @p268)) % 0.85/1.12 (step @p272 :rule trans :premises (@p271 @p263)) % 0.85/1.12 (step @p273 :rule refl :args (@t198)) % 0.85/1.12 (step @p274 :rule eq-symm :args (@t196 @t3)) % 0.85/1.12 (step @p275 :rule cong :premises (@p274) :args (@t199)) % 0.85/1.12 (step @p276 :rule nary_cong :premises (@p260 @p259 @p275 @p273) :args (@t201)) % 0.85/1.12 (step @p277 :rule cong :premises (@p276) :args (@t202)) % 0.85/1.12 (step @p278 :rule trans :premises (@p277 @p272)) % 0.85/1.12 (step @p279 :rule eq_resolve :premises (@p163 @p278)) % 0.85/1.12 (step @p280 :rule instantiate :premises (@p279) :args (@t217)) % 0.85/1.12 (step @p281 :rule true_intro :premises (@p165)) % 0.85/1.12 (step @p282 :rule eq-symm :args (@t153 @t1)) % 0.85/1.12 (step @p283 :rule refl :args (@t152)) % 0.85/1.12 (step @p284 :rule nary_cong :premises (@p283 @p282) :args (@t155)) % 0.85/1.12 (step @p285 :rule cong :premises (@p284) :args (@t156)) % 0.85/1.12 (step @p286 :rule eq_resolve :premises (@p121 @p285)) % 0.85/1.12 (step @p287 :rule instantiate :premises (@p286) :args (@t208)) % 0.85/1.12 (step @p288 :rule cnf_or_pos :args (@t266)) % 0.85/1.12 (step @p289 :rule reordering :premises (@p288) :args ((or @t210 @t265 (not @t266)))) % 0.85/1.12 (step @p290 :rule chain_m_resolution :premises (@p289 @p164 @p287) :args (@t265 @t212 (@list @t203 @t266))) % 0.85/1.12 (step @p291 :rule symm :premises (@p290)) % 0.85/1.12 (step @p292 :rule refl :args (tptp.a)) % 0.85/1.12 (step @p293 :rule cong :premises (@p292 @p291) :args (@t267)) % 0.85/1.12 (step @p294 :rule trans :premises (@p293 @p281)) % 0.85/1.12 (step @p295 :rule true_elim :premises (@p294)) % 0.85/1.12 (step @p296 :rule cnf_or_pos :args (@t270)) % 0.85/1.12 (step @p297 :rule reordering :premises (@p296) :args ((or @t221 @t269 @t268 (not @t270)))) % 0.85/1.12 (step @p298 :rule chain_m_resolution :premises (@p297 @p189 @p295 @p280) :args (@t268 @t232 (@list @t218 @t267 @t270))) % 0.85/1.12 (step @p299 :rule cnf_or_pos :args (@t274)) % 0.85/1.12 (step @p300 :rule reordering :premises (@p299) :args ((or @t271 @t272 @t233 @t273 (not @t274)))) % 0.85/1.12 (step @p301 :rule chain_m_resolution :premises (@p300 @p298 @p253 @p229 @p225) :args (@t233 (@list false false false false) (@list @t268 @t252 @t243 @t274))) % 0.85/1.12 (step @p302 :rule true_intro :premises (@p301)) % 0.85/1.12 (step @p303 :rule symm :premises (@p302)) % 0.85/1.12 (step @p304 :rule trans :premises (@p303 @p201 @p176)) % 0.85/1.12 (step @p305 false :rule eq_resolve :premises (@p304 @p167)) % 0.85/1.12 ) % 0.85/1.12 % SZS output end Proof % 0.85/1.12 % cvc5 exiting %------------------------------------------------------------------------------