%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET016-3 : 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 : n026.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 08:46:57 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.82s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SET016-3 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n026.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 14:40:55 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.82 % SZS status Unsatisfiable % 0.38/0.82 % SZS output start Proof % 0.38/0.83 ( % 0.38/0.83 (declare-sort $$unsorted 0) % 0.38/0.83 (declare-const tptp.c $$unsorted) % 0.38/0.83 (declare-const tptp.d $$unsorted) % 0.38/0.83 (declare-const tptp.b $$unsorted) % 0.38/0.83 (declare-const tptp.f32 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.f31 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.f29 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.closed (-> $$unsorted $$unsorted Bool)) % 0.38/0.83 (declare-const tptp.maps (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.83 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.f28 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.apply_to_two_arguments (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.f7 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.homomorphism (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.83 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.f8 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.single_valued_set (-> $$unsorted Bool)) % 0.38/0.83 (declare-const tptp.f25 $$unsorted) % 0.38/0.83 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.infinity $$unsorted) % 0.38/0.83 (declare-const tptp.rotate_right (-> $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.f24 (-> $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.converse (-> $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.f2 (-> $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.83 (declare-const tptp.f30 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.f5 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.83 (declare-const tptp.non_ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.a $$unsorted) % 0.38/0.83 (declare-const tptp.estin $$unsorted) % 0.38/0.83 (declare-const tptp.singleton_set (-> $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.f26 (-> $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.flip_range_of (-> $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.f11 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.little_set (-> $$unsorted Bool)) % 0.38/0.83 (declare-const tptp.f3 (-> $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.f12 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.83 (declare-const tptp.ordered_pair_predicate (-> $$unsorted Bool)) % 0.38/0.83 (declare-const tptp.f4 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.f20 (-> $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.f9 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.f18 (-> $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.f14 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.f22 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.empty_set $$unsorted) % 0.38/0.83 (declare-const tptp.universal_set $$unsorted) % 0.38/0.83 (declare-const tptp.f16 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.sigma (-> $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.one_to_one_function (-> $$unsorted Bool)) % 0.38/0.83 (declare-const tptp.function (-> $$unsorted Bool)) % 0.38/0.83 (declare-const tptp.f17 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.f13 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.f33 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.83 (declare-const tptp.f19 (-> $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.identity_relation $$unsorted) % 0.38/0.83 (declare-const tptp.f21 (-> $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.38/0.83 (declare-const tptp.f23 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (declare-const tptp.f27 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.83 (define @t1 () (@var "X" $$unsorted)) % 0.38/0.83 (define @t2 () (tptp.little_set @t1)) % 0.38/0.83 (define @t3 () (@var "Y" $$unsorted)) % 0.38/0.83 (define @t4 () (@list @t1 @t3)) % 0.38/0.83 (define @t5 () (= @t1 @t3)) % 0.38/0.83 (define @t6 () (tptp.f1 @t1 @t3)) % 0.38/0.83 (define @t7 () (tptp.member @t6 @t3)) % 0.38/0.83 (define @t8 () (tptp.member @t6 @t1)) % 0.38/0.83 (define @t9 () (@var "U" $$unsorted)) % 0.38/0.83 (define @t10 () (= @t9 @t3)) % 0.38/0.83 (define @t11 () (= @t9 @t1)) % 0.38/0.83 (define @t12 () (tptp.non_ordered_pair @t1 @t3)) % 0.38/0.83 (define @t13 () (tptp.member @t9 @t12)) % 0.38/0.83 (define @t14 () (not @t13)) % 0.38/0.83 (define @t15 () (or @t14 @t11 @t10)) % 0.38/0.83 (define @t16 () (@list @t9 @t1 @t3)) % 0.38/0.83 (define @t17 () (forall @t16 @t15)) % 0.38/0.83 (define @t18 () (not @t11)) % 0.38/0.83 (define @t19 () (not (tptp.little_set @t9))) % 0.38/0.83 (define @t20 () (or @t13 @t19 @t18)) % 0.38/0.83 (define @t21 () (forall @t16 @t20)) % 0.38/0.83 (define @t22 () (tptp.singleton_set @t1)) % 0.38/0.83 (define @t23 () (@list @t1)) % 0.38/0.83 (define @t24 () (tptp.ordered_pair @t1 @t3)) % 0.38/0.83 (define @t25 () (tptp.f2 @t1)) % 0.38/0.83 (define @t26 () (tptp.ordered_pair_predicate @t1)) % 0.38/0.83 (define @t27 () (not @t26)) % 0.38/0.83 (define @t28 () (tptp.f3 @t1)) % 0.38/0.83 (define @t29 () (@var "Z" $$unsorted)) % 0.38/0.83 (define @t30 () (not (tptp.little_set @t29))) % 0.38/0.83 (define @t31 () (not (tptp.little_set @t3))) % 0.38/0.83 (define @t32 () (tptp.f4 @t29 @t1)) % 0.38/0.83 (define @t33 () (tptp.member @t29 (tptp.first @t1))) % 0.38/0.83 (define @t34 () (not @t33)) % 0.38/0.83 (define @t35 () (@list @t29 @t1)) % 0.38/0.83 (define @t36 () (tptp.f5 @t29 @t1)) % 0.38/0.83 (define @t37 () (@var "V" $$unsorted)) % 0.38/0.83 (define @t38 () (tptp.ordered_pair @t9 @t37)) % 0.38/0.83 (define @t39 () (not (= @t1 @t38))) % 0.38/0.83 (define @t40 () (not (tptp.little_set @t37))) % 0.38/0.83 (define @t41 () (@list @t29 @t1 @t9 @t37)) % 0.38/0.83 (define @t42 () (tptp.f6 @t29 @t1)) % 0.38/0.83 (define @t43 () (tptp.member @t29 (tptp.second @t1))) % 0.38/0.83 (define @t44 () (not @t43)) % 0.38/0.83 (define @t45 () (tptp.f7 @t29 @t1)) % 0.38/0.83 (define @t46 () (tptp.ordered_pair_predicate @t29)) % 0.38/0.83 (define @t47 () (tptp.member @t29 tptp.estin)) % 0.38/0.83 (define @t48 () (not @t47)) % 0.38/0.83 (define @t49 () (@list @t29)) % 0.38/0.83 (define @t50 () (tptp.second @t29)) % 0.38/0.83 (define @t51 () (tptp.first @t29)) % 0.38/0.83 (define @t52 () (tptp.member @t51 @t50)) % 0.38/0.83 (define @t53 () (not @t46)) % 0.38/0.83 (define @t54 () (tptp.member @t29 @t1)) % 0.38/0.83 (define @t55 () (tptp.member @t29 (tptp.intersection @t1 @t3))) % 0.38/0.83 (define @t56 () (not @t55)) % 0.38/0.83 (define @t57 () (@list @t29 @t1 @t3)) % 0.38/0.83 (define @t58 () (tptp.member @t29 @t3)) % 0.38/0.83 (define @t59 () (not @t58)) % 0.38/0.83 (define @t60 () (not @t54)) % 0.38/0.83 (define @t61 () (tptp.complement @t1)) % 0.38/0.83 (define @t62 () (tptp.member @t29 @t61)) % 0.38/0.83 (define @t63 () (tptp.f8 @t29 @t1)) % 0.38/0.83 (define @t64 () (tptp.member @t29 (tptp.domain_of @t1))) % 0.38/0.83 (define @t65 () (not @t64)) % 0.38/0.83 (define @t66 () (@var "Xp" $$unsorted)) % 0.38/0.83 (define @t67 () (not (tptp.member @t66 @t1))) % 0.38/0.83 (define @t68 () (not (tptp.ordered_pair_predicate @t66))) % 0.38/0.83 (define @t69 () (@list @t29 @t1 @t66)) % 0.38/0.83 (define @t70 () (tptp.member @t29 (tptp.cross_product @t1 @t3))) % 0.38/0.83 (define @t71 () (not @t70)) % 0.38/0.83 (define @t72 () (tptp.member @t51 @t1)) % 0.38/0.83 (define @t73 () (tptp.member @t50 @t3)) % 0.38/0.83 (define @t74 () (tptp.member @t29 (tptp.converse @t1))) % 0.38/0.83 (define @t75 () (not @t74)) % 0.38/0.83 (define @t76 () (tptp.member (tptp.ordered_pair @t50 @t51) @t1)) % 0.38/0.83 (define @t77 () (tptp.f9 @t29 @t1)) % 0.38/0.83 (define @t78 () (tptp.member @t29 (tptp.rotate_right @t1))) % 0.38/0.83 (define @t79 () (not @t78)) % 0.38/0.83 (define @t80 () (tptp.f10 @t29 @t1)) % 0.38/0.83 (define @t81 () (tptp.f11 @t29 @t1)) % 0.38/0.83 (define @t82 () (@var "W" $$unsorted)) % 0.38/0.83 (define @t83 () (not (= @t29 (tptp.ordered_pair @t9 (tptp.ordered_pair @t37 @t82))))) % 0.38/0.83 (define @t84 () (not (tptp.little_set @t82))) % 0.38/0.83 (define @t85 () (@list @t29 @t1 @t9 @t37 @t82)) % 0.38/0.83 (define @t86 () (tptp.f12 @t29 @t1)) % 0.38/0.83 (define @t87 () (tptp.member @t29 (tptp.flip_range_of @t1))) % 0.38/0.83 (define @t88 () (not @t87)) % 0.38/0.83 (define @t89 () (tptp.f13 @t29 @t1)) % 0.38/0.83 (define @t90 () (tptp.f14 @t29 @t1)) % 0.38/0.83 (define @t91 () (tptp.successor @t1)) % 0.38/0.83 (define @t92 () (tptp.f16 @t29 @t1)) % 0.38/0.83 (define @t93 () (tptp.member @t29 (tptp.sigma @t1))) % 0.38/0.83 (define @t94 () (not @t93)) % 0.38/0.83 (define @t95 () (@list @t9)) % 0.38/0.83 (define @t96 () (tptp.member @t9 @t3)) % 0.38/0.83 (define @t97 () (not (tptp.member @t9 @t1))) % 0.38/0.83 (define @t98 () (tptp.subset @t1 @t3)) % 0.38/0.83 (define @t99 () (not @t98)) % 0.38/0.83 (define @t100 () (@list @t1 @t3 @t9)) % 0.38/0.83 (define @t101 () (tptp.f17 @t1 @t3)) % 0.38/0.83 (define @t102 () (tptp.proper_subset @t1 @t3)) % 0.38/0.83 (define @t103 () (not @t102)) % 0.38/0.83 (define @t104 () (tptp.subset @t29 @t1)) % 0.38/0.83 (define @t105 () (tptp.member @t29 (tptp.powerset @t1))) % 0.38/0.83 (define @t106 () (tptp.relation @t29)) % 0.38/0.83 (define @t107 () (tptp.f18 @t29)) % 0.38/0.83 (define @t108 () (tptp.single_valued_set @t1)) % 0.38/0.83 (define @t109 () (tptp.f19 @t1)) % 0.38/0.83 (define @t110 () (tptp.f20 @t1)) % 0.38/0.83 (define @t111 () (tptp.f21 @t1)) % 0.38/0.83 (define @t112 () (@var "Xf" $$unsorted)) % 0.38/0.83 (define @t113 () (tptp.relation @t112)) % 0.38/0.83 (define @t114 () (tptp.function @t112)) % 0.38/0.83 (define @t115 () (not @t114)) % 0.38/0.83 (define @t116 () (@list @t112)) % 0.38/0.83 (define @t117 () (tptp.single_valued_set @t112)) % 0.38/0.83 (define @t118 () (tptp.f22 @t29 @t1 @t112)) % 0.38/0.83 (define @t119 () (tptp.image @t1 @t112)) % 0.38/0.83 (define @t120 () (tptp.member @t29 @t119)) % 0.38/0.83 (define @t121 () (not @t120)) % 0.38/0.83 (define @t122 () (@list @t29 @t1 @t112)) % 0.38/0.83 (define @t123 () (not @t2)) % 0.38/0.83 (define @t124 () (tptp.disjoint @t1 @t3)) % 0.38/0.83 (define @t125 () (tptp.f23 @t1 @t3)) % 0.38/0.83 (define @t126 () (tptp.f24 @t1)) % 0.38/0.83 (define @t127 () (= @t1 tptp.empty_set)) % 0.38/0.83 (define @t128 () (tptp.f26 @t1)) % 0.38/0.83 (define @t129 () (tptp.f27 @t29 @t1)) % 0.38/0.83 (define @t130 () (tptp.member @t29 (tptp.range_of @t1))) % 0.38/0.83 (define @t131 () (not @t130)) % 0.38/0.83 (define @t132 () (tptp.member @t29 tptp.identity_relation)) % 0.38/0.83 (define @t133 () (not @t132)) % 0.38/0.83 (define @t134 () (= @t51 @t50)) % 0.38/0.83 (define @t135 () (tptp.one_to_one_function @t112)) % 0.38/0.83 (define @t136 () (not @t135)) % 0.38/0.83 (define @t137 () (tptp.function (tptp.converse @t112))) % 0.38/0.83 (define @t138 () (tptp.f28 @t29 @t112 @t3)) % 0.38/0.83 (define @t139 () (tptp.member @t29 (tptp.apply @t112 @t3))) % 0.38/0.83 (define @t140 () (not @t139)) % 0.38/0.83 (define @t141 () (@list @t29 @t112 @t3)) % 0.38/0.83 (define @t142 () (@list @t112 @t1 @t3)) % 0.38/0.83 (define @t143 () (tptp.maps @t112 @t1 @t3)) % 0.38/0.83 (define @t144 () (not @t143)) % 0.38/0.83 (define @t145 () (= (tptp.domain_of @t112) @t1)) % 0.38/0.83 (define @t146 () (tptp.subset (tptp.range_of @t112) @t3)) % 0.38/0.83 (define @t147 () (@var "Xs" $$unsorted)) % 0.38/0.83 (define @t148 () (tptp.little_set @t147)) % 0.38/0.83 (define @t149 () (tptp.closed @t147 @t112)) % 0.38/0.83 (define @t150 () (not @t149)) % 0.38/0.83 (define @t151 () (@list @t147 @t112)) % 0.38/0.83 (define @t152 () (tptp.little_set @t112)) % 0.38/0.83 (define @t153 () (tptp.maps @t112 (tptp.cross_product @t147 @t147) @t147)) % 0.38/0.83 (define @t154 () (@var "Xg" $$unsorted)) % 0.38/0.83 (define @t155 () (tptp.f29 @t29 @t112 @t154)) % 0.38/0.83 (define @t156 () (tptp.member @t29 (tptp.compose @t112 @t154))) % 0.38/0.83 (define @t157 () (not @t156)) % 0.38/0.83 (define @t158 () (@list @t29 @t112 @t154)) % 0.38/0.83 (define @t159 () (tptp.f30 @t29 @t112 @t154)) % 0.38/0.83 (define @t160 () (tptp.f31 @t29 @t112 @t154)) % 0.38/0.83 (define @t161 () (@var "Xf1" $$unsorted)) % 0.38/0.83 (define @t162 () (@var "Xs1" $$unsorted)) % 0.38/0.83 (define @t163 () (tptp.closed @t162 @t161)) % 0.38/0.83 (define @t164 () (@var "Xf2" $$unsorted)) % 0.38/0.83 (define @t165 () (@var "Xs2" $$unsorted)) % 0.38/0.83 (define @t166 () (@var "Xh" $$unsorted)) % 0.38/0.83 (define @t167 () (tptp.homomorphism @t166 @t162 @t161 @t165 @t164)) % 0.38/0.83 (define @t168 () (not @t167)) % 0.38/0.83 (define @t169 () (@list @t166 @t162 @t161 @t165 @t164)) % 0.38/0.83 (define @t170 () (tptp.closed @t165 @t164)) % 0.38/0.83 (define @t171 () (tptp.maps @t166 @t162 @t165)) % 0.38/0.83 (define @t172 () (tptp.f32 @t166 @t162 @t161 @t165 @t164)) % 0.38/0.83 (define @t173 () (not @t171)) % 0.38/0.83 (define @t174 () (not @t170)) % 0.38/0.83 (define @t175 () (not @t163)) % 0.38/0.83 (define @t176 () (tptp.f33 @t166 @t162 @t161 @t165 @t164)) % 0.38/0.83 (define @t177 () (tptp.little_set tptp.a)) % 0.38/0.83 (define @t178 () (= tptp.a tptp.b)) % 0.38/0.83 (define @t179 () (tptp.member @t9 (tptp.non_ordered_pair @t9 @t3))) % 0.38/0.83 (define @t180 () (not (= @t9 @t9))) % 0.38/0.83 (define @t181 () (or @t179 @t19 @t180)) % 0.38/0.83 (define @t182 () (@list @t9 @t3)) % 0.38/0.83 (define @t183 () (= @t1 @t9)) % 0.38/0.83 (define @t184 () (not @t183)) % 0.38/0.83 (define @t185 () (or @t184 @t13 @t19 @t184)) % 0.38/0.83 (define @t186 () (or @t13 @t19 @t184)) % 0.38/0.83 (define @t187 () (forall @t23 @t186)) % 0.38/0.83 (define @t188 () (forall @t182 @t187)) % 0.38/0.83 (define @t189 () (forall (@list @t9 @t3 @t1) @t186)) % 0.38/0.83 (define @t190 () (not @t177)) % 0.38/0.83 (define @t191 () (tptp.non_ordered_pair tptp.a tptp.a)) % 0.38/0.83 (define @t192 () (tptp.member tptp.a @t191)) % 0.38/0.83 (define @t193 () (or @t192 @t190)) % 0.38/0.83 (define @t194 () (@list false false)) % 0.38/0.83 (define @t195 () (tptp.non_ordered_pair tptp.b tptp.b)) % 0.38/0.83 (define @t196 () (tptp.member tptp.a @t195)) % 0.38/0.83 (define @t197 () (not @t196)) % 0.38/0.83 (define @t198 () (= tptp.b tptp.a)) % 0.38/0.83 (define @t199 () (or @t197 @t198 @t198)) % 0.38/0.83 (define @t200 () (forall @t16 (or @t14 @t183 (= @t3 @t9)))) % 0.38/0.83 (define @t201 () (or @t197 @t178 @t178)) % 0.38/0.83 (define @t202 () (tptp.non_ordered_pair tptp.a tptp.c)) % 0.38/0.83 (define @t203 () (tptp.singleton_set tptp.a)) % 0.38/0.83 (define @t204 () (tptp.singleton_set tptp.b)) % 0.38/0.83 (define @t205 () (tptp.non_ordered_pair tptp.b tptp.d)) % 0.38/0.83 (define @t206 () (tptp.little_set @t204)) % 0.38/0.83 (define @t207 () (not @t206)) % 0.38/0.83 (define @t208 () (tptp.member @t204 (tptp.non_ordered_pair @t204 @t205))) % 0.38/0.83 (define @t209 () (or @t208 @t207)) % 0.38/0.83 (define @t210 () (@list tptp.a tptp.c)) % 0.38/0.83 (define @t211 () (tptp.member @t204 (tptp.non_ordered_pair @t203 @t202))) % 0.38/0.83 (define @t212 () (tptp.member tptp.a @t202)) % 0.38/0.83 (define @t213 () (or @t212 @t190)) % 0.38/0.83 (define @t214 () (= @t202 @t204)) % 0.38/0.83 (define @t215 () (not @t214)) % 0.38/0.83 (define @t216 () (= @t204 @t195)) % 0.38/0.83 (define @t217 () (not @t216)) % 0.38/0.83 (define @t218 () (not @t212)) % 0.38/0.83 (define @t219 () (not @t197)) % 0.38/0.83 (define @t220 () (tptp.member tptp.a @t204)) % 0.38/0.83 (define @t221 () (and @t197 @t216 @t214 @t212)) % 0.38/0.83 (define @t222 () (= @t203 @t204)) % 0.38/0.83 (define @t223 () (not @t211)) % 0.38/0.83 (define @t224 () (or @t223 @t222 @t214)) % 0.38/0.83 (define @t225 () (not @t222)) % 0.38/0.83 (define @t226 () (not @t192)) % 0.38/0.83 (define @t227 () (= @t203 @t191)) % 0.38/0.83 (define @t228 () (not @t227)) % 0.38/0.83 (define @t229 () (and @t192 @t227 @t222 @t216 @t197)) % 0.38/0.83 (assume @p1 (forall @t4 (or (not (tptp.member @t1 @t3)) @t2))) % 0.38/0.83 (assume @p2 (forall @t4 (or (tptp.little_set @t6) @t5))) % 0.38/0.83 (assume @p3 (forall @t4 (or @t8 @t7 @t5))) % 0.38/0.83 (assume @p4 (forall @t4 (or (not @t8) (not @t7) @t5))) % 0.38/0.83 (assume @p5 @t17) % 0.38/0.83 (assume @p6 @t21) % 0.38/0.83 (assume @p7 (forall @t16 (or @t13 @t19 (not @t10)))) % 0.38/0.83 (assume @p8 (forall @t4 (tptp.little_set @t12))) % 0.38/0.83 (assume @p9 (forall @t23 (= @t22 (tptp.non_ordered_pair @t1 @t1)))) % 0.38/0.83 (assume @p10 (forall @t4 (= @t24 (tptp.non_ordered_pair @t22 @t12)))) % 0.38/0.83 (assume @p11 (forall @t23 (or @t27 (tptp.little_set @t25)))) % 0.38/0.83 (assume @p12 (forall @t23 (or @t27 (tptp.little_set @t28)))) % 0.38/0.83 (assume @p13 (forall @t23 (or @t27 (= @t1 (tptp.ordered_pair @t25 @t28))))) % 0.38/0.83 (assume @p14 (forall (@list @t1 @t3 @t29) (or @t26 @t31 @t30 (not (= @t1 (tptp.ordered_pair @t3 @t29)))))) % 0.38/0.83 (assume @p15 (forall @t35 (or @t34 (tptp.little_set @t32)))) % 0.38/0.83 (assume @p16 (forall @t35 (or @t34 (tptp.little_set @t36)))) % 0.38/0.83 (assume @p17 (forall @t35 (or @t34 (= @t1 (tptp.ordered_pair @t32 @t36))))) % 0.38/0.83 (assume @p18 (forall @t35 (or @t34 (tptp.member @t29 @t32)))) % 0.38/0.83 (assume @p19 (forall @t41 (or @t33 @t19 @t40 @t39 (not (tptp.member @t29 @t9))))) % 0.38/0.83 (assume @p20 (forall @t35 (or @t44 (tptp.little_set @t42)))) % 0.38/0.83 (assume @p21 (forall @t35 (or @t44 (tptp.little_set @t45)))) % 0.38/0.83 (assume @p22 (forall @t35 (or @t44 (= @t1 (tptp.ordered_pair @t42 @t45))))) % 0.38/0.83 (assume @p23 (forall @t35 (or @t44 (tptp.member @t29 @t45)))) % 0.38/0.83 (assume @p24 (forall @t41 (or @t43 @t19 @t40 @t39 (not (tptp.member @t29 @t37))))) % 0.38/0.83 (assume @p25 (forall @t49 (or @t48 @t46))) % 0.38/0.83 (assume @p26 (forall @t49 (or @t48 @t52))) % 0.38/0.83 (assume @p27 (forall @t49 (or @t47 @t30 @t53 (not @t52)))) % 0.38/0.83 (assume @p28 (forall @t57 (or @t56 @t54))) % 0.38/0.83 (assume @p29 (forall @t57 (or @t56 @t58))) % 0.38/0.83 (assume @p30 (forall @t57 (or @t55 @t60 @t59))) % 0.38/0.83 (assume @p31 (forall @t35 (or (not @t62) @t60))) % 0.38/0.83 (assume @p32 (forall @t35 (or @t62 @t30 @t54))) % 0.38/0.83 (assume @p33 (forall @t4 (= (tptp.union @t1 @t3) (tptp.complement (tptp.intersection @t61 (tptp.complement @t3)))))) % 0.38/0.83 (assume @p34 (forall @t35 (or @t65 (tptp.ordered_pair_predicate @t63)))) % 0.38/0.83 (assume @p35 (forall @t35 (or @t65 (tptp.member @t63 @t1)))) % 0.38/0.83 (assume @p36 (forall @t35 (or @t65 (= @t29 (tptp.first @t63))))) % 0.38/0.83 (assume @p37 (forall @t69 (or @t64 @t30 @t68 @t67 (not (= @t29 (tptp.first @t66)))))) % 0.38/0.83 (assume @p38 (forall @t57 (or @t71 @t46))) % 0.38/0.83 (assume @p39 (forall @t57 (or @t71 @t72))) % 0.38/0.83 (assume @p40 (forall @t57 (or @t71 @t73))) % 0.38/0.83 (assume @p41 (forall @t57 (or @t70 @t30 @t53 (not @t72) (not @t73)))) % 0.38/0.83 (assume @p42 (forall @t35 (or @t75 @t46))) % 0.38/0.83 (assume @p43 (forall @t35 (or @t75 @t76))) % 0.38/0.83 (assume @p44 (forall @t35 (or @t74 @t30 @t53 (not @t76)))) % 0.38/0.83 (assume @p45 (forall @t35 (or @t79 (tptp.little_set @t77)))) % 0.38/0.83 (assume @p46 (forall @t35 (or @t79 (tptp.little_set @t80)))) % 0.38/0.83 (assume @p47 (forall @t35 (or @t79 (tptp.little_set @t81)))) % 0.38/0.83 (assume @p48 (forall @t35 (or @t79 (= @t29 (tptp.ordered_pair @t77 (tptp.ordered_pair @t80 @t81)))))) % 0.38/0.83 (assume @p49 (forall @t35 (or @t79 (tptp.member (tptp.ordered_pair @t80 (tptp.ordered_pair @t81 @t77)) @t1)))) % 0.38/0.83 (assume @p50 (forall @t85 (or @t78 @t30 @t19 @t40 @t84 @t83 (not (tptp.member (tptp.ordered_pair @t37 (tptp.ordered_pair @t82 @t9)) @t1))))) % 0.38/0.83 (assume @p51 (forall @t35 (or @t88 (tptp.little_set @t86)))) % 0.38/0.83 (assume @p52 (forall @t35 (or @t88 (tptp.little_set @t89)))) % 0.38/0.83 (assume @p53 (forall @t35 (or @t88 (tptp.little_set @t90)))) % 0.38/0.83 (assume @p54 (forall @t35 (or @t88 (= @t29 (tptp.ordered_pair @t86 (tptp.ordered_pair @t89 @t90)))))) % 0.38/0.83 (assume @p55 (forall @t35 (or @t88 (tptp.member (tptp.ordered_pair @t86 (tptp.ordered_pair @t90 @t89)) @t1)))) % 0.38/0.83 (assume @p56 (forall @t85 (or @t87 @t30 @t19 @t40 @t84 @t83 (not (tptp.member (tptp.ordered_pair @t9 (tptp.ordered_pair @t82 @t37)) @t1))))) % 0.38/0.83 (assume @p57 (forall @t23 (= @t91 (tptp.union @t1 @t22)))) % 0.38/0.83 (assume @p58 (forall @t49 (not (tptp.member @t29 tptp.empty_set)))) % 0.38/0.83 (assume @p59 (forall @t49 (or (tptp.member @t29 tptp.universal_set) @t30))) % 0.38/0.83 (assume @p60 (tptp.little_set tptp.infinity)) % 0.38/0.83 (assume @p61 (tptp.member tptp.empty_set tptp.infinity)) % 0.38/0.83 (assume @p62 (forall @t23 (or (not (tptp.member @t1 tptp.infinity)) (tptp.member @t91 tptp.infinity)))) % 0.38/0.83 (assume @p63 (forall @t35 (or @t94 (tptp.member @t92 @t1)))) % 0.38/0.83 (assume @p64 (forall @t35 (or @t94 (tptp.member @t29 @t92)))) % 0.38/0.83 (assume @p65 (forall @t57 (or @t93 (not (tptp.member @t3 @t1)) @t59))) % 0.38/0.83 (assume @p66 (forall @t95 (or @t19 (tptp.little_set (tptp.sigma @t9))))) % 0.38/0.83 (assume @p67 (forall @t100 (or @t99 @t97 @t96))) % 0.38/0.83 (assume @p68 (forall @t4 (or @t98 (tptp.member @t101 @t1)))) % 0.38/0.83 (assume @p69 (forall @t4 (or @t98 (not (tptp.member @t101 @t3))))) % 0.38/0.83 (assume @p70 (forall @t4 (or @t103 @t98))) % 0.38/0.83 (assume @p71 (forall @t4 (or @t103 (not @t5)))) % 0.38/0.83 (assume @p72 (forall @t4 (or @t102 @t99 @t5))) % 0.38/0.83 (assume @p73 (forall @t35 (or (not @t105) @t104))) % 0.38/0.83 (assume @p74 (forall @t35 (or @t105 @t30 (not @t104)))) % 0.38/0.83 (assume @p75 (forall @t95 (or @t19 (tptp.little_set (tptp.powerset @t9))))) % 0.38/0.83 (assume @p76 (forall @t35 (or (not @t106) (not (tptp.member @t1 @t29)) @t26))) % 0.38/0.83 (assume @p77 (forall @t49 (or @t106 (tptp.member @t107 @t29)))) % 0.38/0.83 (assume @p78 (forall @t49 (or @t106 (not (tptp.ordered_pair_predicate @t107))))) % 0.38/0.83 (assume @p79 (forall (@list @t1 @t9 @t37 @t82) (or (not @t108) @t19 @t40 @t84 (not (tptp.member @t38 @t1)) (not (tptp.member (tptp.ordered_pair @t9 @t82) @t1)) (= @t37 @t82)))) % 0.38/0.83 (assume @p80 (forall @t23 (or @t108 (tptp.little_set @t109)))) % 0.38/0.83 (assume @p81 (forall @t23 (or @t108 (tptp.little_set @t110)))) % 0.38/0.83 (assume @p82 (forall @t23 (or @t108 (tptp.little_set @t111)))) % 0.38/0.83 (assume @p83 (forall @t23 (or @t108 (tptp.member (tptp.ordered_pair @t109 @t110) @t1)))) % 0.38/0.83 (assume @p84 (forall @t23 (or @t108 (tptp.member (tptp.ordered_pair @t109 @t111) @t1)))) % 0.38/0.83 (assume @p85 (forall @t23 (or @t108 (not (= @t110 @t111))))) % 0.38/0.83 (assume @p86 (forall @t116 (or @t115 @t113))) % 0.38/0.83 (assume @p87 (forall @t116 (or @t115 @t117))) % 0.38/0.83 (assume @p88 (forall @t116 (or @t114 (not @t113) (not @t117)))) % 0.38/0.83 (assume @p89 (forall @t122 (or @t121 (tptp.ordered_pair_predicate @t118)))) % 0.38/0.83 (assume @p90 (forall @t122 (or @t121 (tptp.member @t118 @t112)))) % 0.38/0.83 (assume @p91 (forall @t122 (or @t121 (tptp.member (tptp.first @t118) @t1)))) % 0.38/0.83 (assume @p92 (forall @t122 (or @t121 (= (tptp.second @t118) @t29)))) % 0.38/0.83 (assume @p93 (forall (@list @t29 @t1 @t112 @t3) (or @t120 @t30 (not (tptp.ordered_pair_predicate @t3)) (not (tptp.member @t3 @t112)) (not (tptp.member (tptp.first @t3) @t1)) (not (= (tptp.second @t3) @t29))))) % 0.38/0.83 (assume @p94 (forall (@list @t1 @t112) (or @t123 @t115 (tptp.little_set @t119)))) % 0.38/0.83 (assume @p95 (forall @t100 (or (not @t124) @t97 (not @t96)))) % 0.38/0.83 (assume @p96 (forall @t4 (or @t124 (tptp.member @t125 @t1)))) % 0.38/0.83 (assume @p97 (forall @t4 (or @t124 (tptp.member @t125 @t3)))) % 0.38/0.83 (assume @p98 (forall @t23 (or @t127 (tptp.member @t126 @t1)))) % 0.38/0.83 (assume @p99 (forall @t23 (or @t127 (tptp.disjoint @t126 @t1)))) % 0.38/0.83 (assume @p100 (tptp.function tptp.f25)) % 0.38/0.83 (assume @p101 (forall @t23 (or @t123 @t127 (tptp.member @t128 @t1)))) % 0.38/0.83 (assume @p102 (forall @t23 (or @t123 @t127 (tptp.member (tptp.ordered_pair @t1 @t128) tptp.f25)))) % 0.38/0.83 (assume @p103 (forall @t35 (or @t131 (tptp.ordered_pair_predicate @t129)))) % 0.38/0.83 (assume @p104 (forall @t35 (or @t131 (tptp.member @t129 @t1)))) % 0.38/0.83 (assume @p105 (forall @t35 (or @t131 (= @t29 (tptp.second @t129))))) % 0.38/0.83 (assume @p106 (forall @t69 (or @t130 @t30 @t68 @t67 (not (= @t29 (tptp.second @t66)))))) % 0.38/0.83 (assume @p107 (forall @t49 (or @t133 @t46))) % 0.38/0.83 (assume @p108 (forall @t49 (or @t133 @t134))) % 0.38/0.83 (assume @p109 (forall @t49 (or @t132 @t30 @t53 (not @t134)))) % 0.38/0.83 (assume @p110 (forall @t4 (= (tptp.restrict @t1 @t3) (tptp.intersection @t1 (tptp.cross_product @t3 tptp.universal_set))))) % 0.38/0.83 (assume @p111 (forall @t116 (or @t136 @t114))) % 0.38/0.83 (assume @p112 (forall @t116 (or @t136 @t137))) % 0.38/0.83 (assume @p113 (forall @t116 (or @t135 @t115 (not @t137)))) % 0.38/0.83 (assume @p114 (forall @t141 (or @t140 (tptp.ordered_pair_predicate @t138)))) % 0.38/0.83 (assume @p115 (forall @t141 (or @t140 (tptp.member @t138 @t112)))) % 0.38/0.83 (assume @p116 (forall @t141 (or @t140 (= (tptp.first @t138) @t3)))) % 0.38/0.83 (assume @p117 (forall @t141 (or @t140 (tptp.member @t29 (tptp.second @t138))))) % 0.38/0.83 (assume @p118 (forall (@list @t29 @t112 @t3 @t82) (or @t139 (not (tptp.ordered_pair_predicate @t82)) (not (tptp.member @t82 @t112)) (not (= (tptp.first @t82) @t3)) (not (tptp.member @t29 (tptp.second @t82)))))) % 0.38/0.83 (assume @p119 (forall @t142 (= (tptp.apply_to_two_arguments @t112 @t1 @t3) (tptp.apply @t112 @t24)))) % 0.38/0.83 (assume @p120 (forall @t142 (or @t144 @t114))) % 0.38/0.83 (assume @p121 (forall @t142 (or @t144 @t145))) % 0.38/0.83 (assume @p122 (forall @t142 (or @t144 @t146))) % 0.38/0.83 (assume @p123 (forall @t142 (or @t143 @t115 (not @t145) (not @t146)))) % 0.38/0.83 (assume @p124 (forall @t151 (or @t150 @t148))) % 0.38/0.83 (assume @p125 (forall @t151 (or @t150 @t152))) % 0.38/0.83 (assume @p126 (forall @t151 (or @t150 @t153))) % 0.38/0.83 (assume @p127 (forall @t151 (or @t149 (not @t148) (not @t152) (not @t153)))) % 0.38/0.83 (assume @p128 (forall @t158 (or @t157 (tptp.little_set @t155)))) % 0.38/0.83 (assume @p129 (forall @t158 (or @t157 (tptp.little_set @t159)))) % 0.38/0.83 (assume @p130 (forall @t158 (or @t157 (tptp.little_set @t160)))) % 0.38/0.83 (assume @p131 (forall @t158 (or @t157 (= @t29 (tptp.ordered_pair @t155 @t159))))) % 0.38/0.83 (assume @p132 (forall @t158 (or @t157 (tptp.member (tptp.ordered_pair @t155 @t160) @t112)))) % 0.38/0.83 (assume @p133 (forall @t158 (or @t157 (tptp.member (tptp.ordered_pair @t160 @t159) @t154)))) % 0.38/0.83 (assume @p134 (forall (@list @t29 @t112 @t154 @t1 @t3 @t82) (or @t156 @t30 @t123 @t31 @t84 (not (= @t29 @t24)) (not (tptp.member (tptp.ordered_pair @t1 @t82) @t112)) (not (tptp.member (tptp.ordered_pair @t82 @t3) @t154))))) % 0.38/0.83 (assume @p135 (forall @t169 (or @t168 @t163))) % 0.38/0.83 (assume @p136 (forall @t169 (or @t168 @t170))) % 0.38/0.83 (assume @p137 (forall @t169 (or @t168 @t171))) % 0.38/0.83 (assume @p138 (forall (@list @t166 @t162 @t161 @t165 @t164 @t1 @t3) (or @t168 (not (tptp.member @t1 @t162)) (not (tptp.member @t3 @t162)) (= (tptp.apply @t166 (tptp.apply_to_two_arguments @t161 @t1 @t3)) (tptp.apply_to_two_arguments @t164 (tptp.apply @t166 @t1) (tptp.apply @t166 @t3)))))) % 0.38/0.83 (assume @p139 (forall @t169 (or @t167 @t175 @t174 @t173 (tptp.member @t172 @t162)))) % 0.38/0.83 (assume @p140 (forall @t169 (or @t167 @t175 @t174 @t173 (tptp.member @t176 @t162)))) % 0.38/0.83 (assume @p141 (forall @t169 (or @t167 @t175 @t174 @t173 (not (= (tptp.apply @t166 (tptp.apply_to_two_arguments @t161 @t172 @t176)) (tptp.apply_to_two_arguments @t164 (tptp.apply @t166 @t172) (tptp.apply @t166 @t176))))))) % 0.38/0.83 (assume @p142 @t177) % 0.38/0.83 (assume @p143 (tptp.little_set tptp.b)) % 0.38/0.83 (assume @p144 (= (tptp.ordered_pair tptp.a tptp.c) (tptp.ordered_pair tptp.b tptp.d))) % 0.38/0.83 (assume @p145 (not @t178)) % 0.38/0.83 (step @p146 :rule instantiate :premises (@p9) :args ((@list tptp.b))) % 0.38/0.83 (step @p147 :rule instantiate :premises (@p9) :args ((@list tptp.a))) % 0.38/0.83 (step @p148 :rule aci_norm :args ((= (or @t179 @t19 false) (or @t179 @t19)))) % 0.38/0.83 (step @p149 :rule evaluate :args ((not true))) % 0.38/0.83 (step @p150 :rule eq-refl :args (@t9)) % 0.38/0.83 (step @p151 :rule cong :premises (@p150) :args (@t180)) % 0.38/0.83 (step @p152 :rule trans :premises (@p151 @p149)) % 0.38/0.83 (step @p153 :rule refl :args (@t19)) % 0.38/0.83 (step @p154 :rule refl :args (@t179)) % 0.38/0.83 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152) :args (@t181)) % 0.38/0.83 (step @p156 :rule trans :premises (@p155 @p148)) % 0.38/0.83 (step @p157 :rule cong :premises (@p156) :args ((forall @t182 @t181))) % 0.38/0.83 (step @p158 :rule quant-var-elim-eq :args ((= (forall @t23 @t185) @t181))) % 0.38/0.83 (step @p159 :rule aci_norm :args ((= @t186 @t185))) % 0.38/0.83 (step @p160 :rule cong :premises (@p159) :args (@t187)) % 0.38/0.83 (step @p161 :rule trans :premises (@p160 @p158)) % 0.38/0.83 (step @p162 :rule cong :premises (@p161) :args (@t188)) % 0.38/0.83 (step @p163 :rule quant-merge-prenex :args ((= @t188 @t189))) % 0.38/0.83 (step @p164 :rule symm :premises (@p163)) % 0.38/0.83 (step @p165 :rule quant_var_reordering :args ((= (forall @t16 @t186) @t189))) % 0.38/0.83 (step @p166 :rule trans :premises (@p165 @p164 @p162)) % 0.38/0.83 (step @p167 :rule trans :premises (@p166 @p157)) % 0.38/0.83 (step @p168 :rule eq-symm :args (@t9 @t1)) % 0.38/0.83 (step @p169 :rule cong :premises (@p168) :args (@t18)) % 0.38/0.83 (step @p170 :rule refl :args (@t13)) % 0.38/0.83 (step @p171 :rule nary_cong :premises (@p170 @p153 @p169) :args (@t20)) % 0.38/0.83 (step @p172 :rule cong :premises (@p171) :args (@t21)) % 0.38/0.83 (step @p173 :rule trans :premises (@p172 @p167)) % 0.38/0.83 (step @p174 :rule eq_resolve :premises (@p6 @p173)) % 0.38/0.83 (step @p175 :rule instantiate :premises (@p174) :args ((@list tptp.a tptp.a))) % 0.38/0.83 (step @p176 :rule cnf_or_pos :args (@t193)) % 0.38/0.83 (step @p177 :rule reordering :premises (@p176) :args ((or @t190 @t192 (not @t193)))) % 0.38/0.83 (step @p178 :rule chain_m_resolution :premises (@p177 @p142 @p175) :args (@t192 @t194 (@list @t177 @t193))) % 0.38/0.83 (step @p179 :rule eq-symm :args (@t9 @t3)) % 0.38/0.83 (step @p180 :rule refl :args (@t14)) % 0.38/0.83 (step @p181 :rule nary_cong :premises (@p180 @p168 @p179) :args (@t15)) % 0.38/0.83 (step @p182 :rule cong :premises (@p181) :args (@t17)) % 0.38/0.83 (step @p183 :rule eq_resolve :premises (@p5 @p182)) % 0.38/0.83 (step @p184 :rule eq-symm :args (tptp.b tptp.a)) % 0.38/0.83 (step @p185 :rule refl :args (@t197)) % 0.38/0.83 (step @p186 :rule nary_cong :premises (@p185 @p184 @p184) :args (@t199)) % 0.38/0.83 (step @p187 :rule refl :args (@t200)) % 0.38/0.83 (step @p188 :rule cong :premises (@p187 @p186) :args ((=> @t200 @t199))) % 0.38/0.83 (assume-push @p306 @t200) % 0.38/0.83 (step @p190 :rule instantiate :premises (@p183) :args ((@list tptp.a tptp.b tptp.b))) % 0.38/0.83 (step-pop @p307 :rule scope :premises (@p190)) % 0.38/0.83 (step @p191 :rule process_scope :premises (@p307) :args (@t199)) % 0.38/0.83 (step @p193 :rule eq_resolve :premises (@p191 @p188)) % 0.38/0.83 (step @p194 :rule implies_elim :premises (@p193)) % 0.38/0.83 (step @p195 :rule chain_m_resolution :premises (@p194 @p183) :args (@t201 (@list false) (@list @t200))) % 0.38/0.83 (step @p196 :rule cnf_or_pos :args (@t201)) % 0.38/0.83 (step @p197 :rule factoring :premises (@p196)) % 0.38/0.83 (step @p198 :rule reordering :premises (@p197) :args ((or @t178 @t197 (not @t201)))) % 0.38/0.83 (step @p199 :rule chain_m_resolution :premises (@p198 @p145 @p195) :args (@t197 (@list true false) (@list @t178 @t201))) % 0.38/0.83 (step @p200 :rule instantiate :premises (@p183) :args ((@list @t204 @t203 @t202))) % 0.38/0.83 (step @p201 :rule instantiate :premises (@p174) :args ((@list @t204 @t205))) % 0.38/0.83 (step @p202 :rule instantiate :premises (@p8) :args ((@list tptp.b tptp.b))) % 0.38/0.83 (step @p203 :rule true_intro :premises (@p202)) % 0.38/0.83 (step @p204 :rule cong :premises (@p146) :args (@t206)) % 0.38/0.83 (step @p205 :rule trans :premises (@p204 @p203)) % 0.38/0.83 (step @p206 :rule true_elim :premises (@p205)) % 0.38/0.83 (step @p207 :rule cnf_or_pos :args (@t209)) % 0.38/0.83 (step @p208 :rule reordering :premises (@p207) :args ((or @t208 @t207 (not @t209)))) % 0.38/0.83 (step @p209 :rule chain_m_resolution :premises (@p208 @p206 @p201) :args (@t208 @t194 (@list @t206 @t209))) % 0.38/0.83 (step @p210 :rule true_intro :premises (@p209)) % 0.38/0.83 (step @p211 :rule instantiate :premises (@p10) :args ((@list tptp.b tptp.d))) % 0.38/0.83 (step @p212 :rule instantiate :premises (@p10) :args (@t210)) % 0.38/0.83 (step @p213 :rule symm :premises (@p212)) % 0.38/0.83 (step @p214 :rule trans :premises (@p213 @p144 @p211)) % 0.38/0.83 (step @p215 :rule refl :args (@t204)) % 0.38/0.83 (step @p216 :rule cong :premises (@p215 @p214) :args (@t211)) % 0.38/0.83 (step @p217 :rule trans :premises (@p216 @p210)) % 0.38/0.83 (step @p218 :rule true_elim :premises (@p217)) % 0.38/0.83 (step @p219 :rule instantiate :premises (@p174) :args (@t210)) % 0.38/0.83 (step @p220 :rule cnf_or_pos :args (@t213)) % 0.38/0.83 (step @p221 :rule reordering :premises (@p220) :args ((or @t190 @t212 (not @t213)))) % 0.38/0.83 (step @p222 :rule chain_m_resolution :premises (@p221 @p142 @p219) :args (@t212 @t194 (@list @t177 @t213))) % 0.38/0.83 (step @p223 :rule bool-double-not-elim :args (@t196)) % 0.38/0.83 (step @p224 :rule refl :args (@t215)) % 0.38/0.83 (step @p225 :rule refl :args (@t217)) % 0.38/0.83 (step @p226 :rule refl :args (@t218)) % 0.38/0.83 (step @p227 :rule nary_cong :premises (@p226 @p225 @p224 @p223) :args ((or @t218 @t217 @t215 @t219))) % 0.38/0.83 (assume-push @p308 @t197) % 0.38/0.83 (assume-push @p309 @t216) % 0.38/0.83 (assume-push @p310 @t214) % 0.38/0.83 (assume-push @p311 @t212) % 0.38/0.83 (step @p232 :rule evaluate :args ((= true false))) % 0.38/0.83 (step @p233 :rule false_intro :premises (@p199)) % 0.38/0.83 (step @p234 :rule refl :args (tptp.a)) % 0.38/0.83 (step @p235 :rule cong :premises (@p234 @p146) :args (@t220)) % 0.38/0.83 (step @p236 :rule cong :premises (@p234 @p310) :args (@t212)) % 0.38/0.83 (step @p237 :rule true_intro :premises (@p222)) % 0.38/0.83 (step @p238 :rule symm :premises (@p237)) % 0.38/0.83 (step @p239 :rule trans :premises (@p238 @p236 @p235 @p233)) % 0.38/0.83 (step @p240 false :rule eq_resolve :premises (@p239 @p232)) % 0.38/0.83 (step-pop @p312 :rule scope :premises (@p240)) % 0.38/0.83 (step-pop @p313 :rule scope :premises (@p312)) % 0.38/0.83 (step-pop @p314 :rule scope :premises (@p313)) % 0.38/0.83 (step-pop @p315 :rule scope :premises (@p314)) % 0.38/0.83 (step @p241 :rule process_scope :premises (@p315) :args (false)) % 0.38/0.83 (assume-push @p316 @t212) % 0.38/0.83 (assume-push @p317 @t216) % 0.38/0.83 (assume-push @p318 @t214) % 0.38/0.83 (assume-push @p319 @t197) % 0.38/0.83 (step @p250 :rule and_intro :premises (@p199 @p146 @p318 @p222)) % 0.38/0.83 (step-pop @p320 :rule scope :premises (@p250)) % 0.38/0.83 (step-pop @p321 :rule scope :premises (@p320)) % 0.38/0.83 (step-pop @p322 :rule scope :premises (@p321)) % 0.38/0.83 (step-pop @p323 :rule scope :premises (@p322)) % 0.38/0.83 (step @p251 :rule process_scope :premises (@p323) :args (@t221)) % 0.38/0.83 (step @p256 :rule implies_elim :premises (@p251)) % 0.38/0.83 (step @p257 :rule resolution :premises (@p256 @p241) :args (true @t221)) % 0.38/0.83 (step @p258 :rule not_and :premises (@p257)) % 0.38/0.83 (step @p259 :rule eq_resolve :premises (@p258 @p227)) % 0.38/0.83 (step @p260 :rule chain_m_resolution :premises (@p259 @p222 @p146 @p199) :args (@t215 (@list false false true) (@list @t212 @t216 @t196))) % 0.38/0.83 (step @p261 :rule cnf_or_pos :args (@t224)) % 0.38/0.83 (step @p262 :rule reordering :premises (@p261) :args ((or @t214 @t223 @t222 (not @t224)))) % 0.38/0.83 (step @p263 :rule chain_m_resolution :premises (@p262 @p260 @p218 @p200) :args (@t222 (@list true false false) (@list @t214 @t211 @t224))) % 0.38/0.83 (step @p264 :rule refl :args (@t225)) % 0.38/0.83 (step @p265 :rule refl :args (@t226)) % 0.38/0.83 (step @p266 :rule refl :args (@t228)) % 0.38/0.83 (step @p267 :rule nary_cong :premises (@p225 @p266 @p265 @p264 @p223) :args ((or @t217 @t228 @t226 @t225 @t219))) % 0.38/0.83 (assume-push @p324 @t192) % 0.38/0.83 (assume-push @p325 @t227) % 0.38/0.83 (assume-push @p326 @t222) % 0.38/0.83 (assume-push @p327 @t216) % 0.38/0.83 (assume-push @p328 @t197) % 0.38/0.83 (step @p273 :rule evaluate :args ((= false true))) % 0.38/0.83 (step @p274 :rule true_intro :premises (@p178)) % 0.38/0.83 (step @p275 :rule symm :premises (@p326)) % 0.38/0.83 (step @p276 :rule trans :premises (@p275 @p147)) % 0.38/0.83 (step @p234 :rule refl :args (tptp.a)) % 0.38/0.83 (step @p277 :rule cong :premises (@p234 @p276) :args (@t220)) % 0.38/0.83 (step @p278 :rule symm :premises (@p146)) % 0.38/0.83 (step @p279 :rule cong :premises (@p234 @p278) :args (@t196)) % 0.38/0.83 (step @p233 :rule false_intro :premises (@p199)) % 0.38/0.83 (step @p280 :rule symm :premises (@p233)) % 0.38/0.83 (step @p281 :rule trans :premises (@p280 @p279 @p277 @p274)) % 0.38/0.83 (step @p282 false :rule eq_resolve :premises (@p281 @p273)) % 0.38/0.83 (step-pop @p329 :rule scope :premises (@p282)) % 0.38/0.83 (step-pop @p330 :rule scope :premises (@p329)) % 0.38/0.83 (step-pop @p331 :rule scope :premises (@p330)) % 0.38/0.83 (step-pop @p332 :rule scope :premises (@p331)) % 0.38/0.83 (step-pop @p333 :rule scope :premises (@p332)) % 0.38/0.83 (step @p283 :rule process_scope :premises (@p333) :args (false)) % 0.38/0.83 (assume-push @p334 @t216) % 0.38/0.83 (assume-push @p335 @t227) % 0.38/0.83 (assume-push @p336 @t192) % 0.38/0.83 (assume-push @p337 @t222) % 0.38/0.83 (assume-push @p338 @t197) % 0.38/0.83 (step @p294 :rule and_intro :premises (@p178 @p147 @p337 @p146 @p199)) % 0.38/0.83 (step-pop @p339 :rule scope :premises (@p294)) % 0.38/0.83 (step-pop @p340 :rule scope :premises (@p339)) % 0.38/0.83 (step-pop @p341 :rule scope :premises (@p340)) % 0.38/0.83 (step-pop @p342 :rule scope :premises (@p341)) % 0.38/0.83 (step-pop @p343 :rule scope :premises (@p342)) % 0.38/0.83 (step @p295 :rule process_scope :premises (@p343) :args (@t229)) % 0.38/0.83 (step @p301 :rule implies_elim :premises (@p295)) % 0.38/0.83 (step @p302 :rule resolution :premises (@p301 @p283) :args (true @t229)) % 0.38/0.83 (step @p303 :rule not_and :premises (@p302)) % 0.38/0.83 (step @p304 :rule eq_resolve :premises (@p303 @p267)) % 0.38/0.83 (step @p305 false :rule chain_m_resolution :premises (@p304 @p263 @p199 @p178 @p147 @p146) :args (false (@list false true false false false) (@list @t222 @t196 @t192 @t227 @t216))) % 0.38/0.83 ) % 0.38/0.83 % SZS output end Proof % 0.38/0.83 % cvc5 exiting %------------------------------------------------------------------------------