%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : CAT026+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:09:29 AM UTC 2026 % Result : Theorem 0.44s 0.68s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : CAT026+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.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 : Wed Jun 3 02:59:49 EDT 2026 % 0.17/0.35 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.68 % SZS status Theorem % 0.44/0.68 % SZS output start Proof % 0.44/0.68 ( % 0.44/0.68 (declare-sort $$unsorted 0) % 0.44/0.68 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.k5_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.k8_isocat_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.k9_isocat_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.k16_cat_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.k12_isocat_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.r2_nattra_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.k11_isocat_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.k11_cat_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.u2_cat_1 (-> $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.k17_cat_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.m2_cat_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.k2_isocat_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.44/0.68 (declare-const tptp.v2_cat_1 (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.l1_cat_1 (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.44/0.68 (define @t1 () (@var "E" $$unsorted)) % 0.44/0.68 (define @t2 () (@var "C" $$unsorted)) % 0.44/0.68 (define @t3 () (@var "B" $$unsorted)) % 0.44/0.68 (define @t4 () (@var "A" $$unsorted)) % 0.44/0.68 (define @t5 () (@var "D" $$unsorted)) % 0.44/0.68 (define @t6 () (tptp.k12_isocat_2 @t4 @t3 @t2 @t5)) % 0.44/0.68 (define @t7 () (tptp.k11_isocat_2 @t4 @t3 @t2 @t5)) % 0.44/0.68 (define @t8 () (and (tptp.r2_nattra_1 @t4 @t3 @t7 (tptp.k11_isocat_2 @t4 @t3 @t2 @t1)) (tptp.r2_nattra_1 @t4 @t2 @t6 (tptp.k12_isocat_2 @t4 @t3 @t2 @t1)))) % 0.44/0.68 (define @t9 () (tptp.k11_cat_2 @t3 @t2)) % 0.44/0.68 (define @t10 () (tptp.r2_nattra_1 @t4 @t9 @t5 @t1)) % 0.44/0.68 (define @t11 () (=> @t10 @t8)) % 0.44/0.68 (define @t12 () (tptp.m2_cat_1 @t1 @t4 @t9)) % 0.44/0.68 (define @t13 () (@list @t1)) % 0.44/0.68 (define @t14 () (forall @t13 (=> @t12 @t11))) % 0.44/0.68 (define @t15 () (tptp.m2_cat_1 @t5 @t4 @t9)) % 0.44/0.68 (define @t16 () (=> @t15 @t14)) % 0.44/0.68 (define @t17 () (@list @t5)) % 0.44/0.68 (define @t18 () (forall @t17 @t16)) % 0.44/0.68 (define @t19 () (tptp.l1_cat_1 @t2)) % 0.44/0.68 (define @t20 () (tptp.v2_cat_1 @t2)) % 0.44/0.68 (define @t21 () (and @t20 @t19)) % 0.44/0.68 (define @t22 () (=> @t21 @t18)) % 0.44/0.68 (define @t23 () (@list @t2)) % 0.44/0.68 (define @t24 () (forall @t23 @t22)) % 0.44/0.68 (define @t25 () (tptp.l1_cat_1 @t3)) % 0.44/0.68 (define @t26 () (tptp.v2_cat_1 @t3)) % 0.44/0.68 (define @t27 () (and @t26 @t25)) % 0.44/0.68 (define @t28 () (=> @t27 @t24)) % 0.44/0.68 (define @t29 () (@list @t3)) % 0.44/0.68 (define @t30 () (forall @t29 @t28)) % 0.44/0.68 (define @t31 () (tptp.l1_cat_1 @t4)) % 0.44/0.68 (define @t32 () (tptp.v2_cat_1 @t4)) % 0.44/0.68 (define @t33 () (and @t32 @t31)) % 0.44/0.68 (define @t34 () (=> @t33 @t30)) % 0.44/0.68 (define @t35 () (@list @t4)) % 0.44/0.68 (define @t36 () (forall @t35 @t34)) % 0.44/0.68 (define @t37 () (not @t36)) % 0.44/0.68 (define @t38 () (@list @t4 @t3)) % 0.44/0.68 (define @t39 () (tptp.r2_hidden @t4 @t3)) % 0.44/0.68 (define @t40 () (tptp.m1_subset_1 @t4 @t3)) % 0.44/0.68 (define @t41 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t2))) % 0.44/0.68 (define @t42 () (@list @t4 @t3 @t2)) % 0.44/0.68 (define @t43 () (tptp.m1_relset_1 @t2 @t4 @t3)) % 0.44/0.68 (define @t44 () (tptp.k11_cat_2 @t4 @t3)) % 0.44/0.68 (define @t45 () (tptp.k16_cat_2 @t4 @t3)) % 0.44/0.68 (define @t46 () (and @t32 @t31 @t26 @t25)) % 0.44/0.68 (define @t47 () (tptp.k17_cat_2 @t4 @t3)) % 0.44/0.68 (define @t48 () (tptp.k2_zfmisc_1 @t4 @t3)) % 0.44/0.68 (define @t49 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t48))) % 0.44/0.68 (define @t50 () (tptp.k1_zfmisc_1 @t4)) % 0.44/0.68 (define @t51 () (tptp.v1_xboole_0 @t3)) % 0.44/0.68 (define @t52 () (not @t51)) % 0.44/0.69 (define @t53 () (tptp.v1_xboole_0 @t4)) % 0.44/0.69 (define @t54 () (not @t53)) % 0.44/0.69 (define @t55 () (tptp.m1_subset_1 @t3 @t50)) % 0.44/0.69 (define @t56 () (tptp.m2_relset_1 @t2 @t4 @t3)) % 0.44/0.69 (define @t57 () (tptp.k8_isocat_2 @t4 @t3)) % 0.44/0.69 (define @t58 () (tptp.k9_isocat_2 @t4 @t3)) % 0.44/0.69 (define @t59 () (tptp.m2_cat_1 @t57 @t44 @t4)) % 0.44/0.69 (define @t60 () (forall @t38 (=> @t46 @t59))) % 0.44/0.69 (define @t61 () (tptp.m2_cat_1 @t58 @t44 @t3)) % 0.44/0.69 (define @t62 () (forall @t38 (=> @t46 @t61))) % 0.44/0.69 (define @t63 () (tptp.u2_cat_1 @t4)) % 0.44/0.69 (define @t64 () (tptp.r2_nattra_1 @t4 @t3 @t2 @t2)) % 0.44/0.69 (define @t65 () (tptp.m2_cat_1 @t5 @t4 @t3)) % 0.44/0.69 (define @t66 () (tptp.m2_cat_1 @t2 @t4 @t3)) % 0.44/0.69 (define @t67 () (and @t32 @t31 @t26 @t25 @t66 @t65)) % 0.44/0.69 (define @t68 () (@list @t4 @t3 @t2 @t5)) % 0.44/0.69 (define @t69 () (forall @t68 (=> @t67 @t64))) % 0.44/0.69 (define @t70 () (tptp.k2_isocat_1 @t4 @t3 @t2 @t5 @t1)) % 0.44/0.69 (define @t71 () (and @t32 @t31 @t26 @t25 @t20 @t19 @t65 (tptp.m2_cat_1 @t1 @t3 @t2))) % 0.44/0.69 (define @t72 () (@list @t4 @t3 @t2 @t5 @t1)) % 0.44/0.69 (define @t73 () (and (tptp.v2_cat_1 @t44) (tptp.l1_cat_1 @t44))) % 0.44/0.69 (define @t74 () (forall @t38 (=> @t46 @t73))) % 0.44/0.69 (define @t75 () (and @t32 @t31 @t26 @t25 @t20 @t19 @t15)) % 0.44/0.69 (define @t76 () (tptp.u2_cat_1 @t3)) % 0.44/0.69 (define @t77 () (tptp.k8_isocat_2 @t3 @t2)) % 0.44/0.69 (define @t78 () (= @t7 (tptp.k2_isocat_1 @t4 @t9 @t3 @t5 @t77))) % 0.44/0.69 (define @t79 () (forall @t17 (=> @t15 @t78))) % 0.44/0.69 (define @t80 () (=> @t21 @t79)) % 0.44/0.69 (define @t81 () (forall @t23 @t80)) % 0.44/0.69 (define @t82 () (=> @t27 @t81)) % 0.44/0.69 (define @t83 () (forall @t29 @t82)) % 0.44/0.69 (define @t84 () (=> @t33 @t83)) % 0.44/0.69 (define @t85 () (forall @t35 @t84)) % 0.44/0.69 (define @t86 () (tptp.k9_isocat_2 @t3 @t2)) % 0.44/0.69 (define @t87 () (= @t6 (tptp.k2_isocat_1 @t4 @t9 @t2 @t5 @t86))) % 0.44/0.69 (define @t88 () (forall @t17 (=> @t15 @t87))) % 0.44/0.69 (define @t89 () (=> @t21 @t88)) % 0.44/0.69 (define @t90 () (forall @t23 @t89)) % 0.44/0.69 (define @t91 () (=> @t27 @t90)) % 0.44/0.69 (define @t92 () (forall @t29 @t91)) % 0.44/0.69 (define @t93 () (=> @t33 @t92)) % 0.44/0.69 (define @t94 () (forall @t35 @t93)) % 0.44/0.69 (define @t95 () (@var "G" $$unsorted)) % 0.44/0.69 (define @t96 () (@var "F" $$unsorted)) % 0.44/0.69 (define @t97 () (tptp.k2_isocat_1 @t4 @t3 @t2 @t5 @t96)) % 0.44/0.69 (define @t98 () (tptp.r2_nattra_1 @t4 @t2 @t97 (tptp.k2_isocat_1 @t4 @t3 @t2 @t1 @t95))) % 0.44/0.69 (define @t99 () (tptp.r2_nattra_1 @t3 @t2 @t96 @t95)) % 0.44/0.69 (define @t100 () (tptp.r2_nattra_1 @t4 @t3 @t5 @t1)) % 0.44/0.69 (define @t101 () (and @t100 @t99)) % 0.44/0.69 (define @t102 () (=> @t101 @t98)) % 0.44/0.69 (define @t103 () (tptp.m2_cat_1 @t95 @t3 @t2)) % 0.44/0.69 (define @t104 () (@list @t95)) % 0.44/0.69 (define @t105 () (forall @t104 (=> @t103 @t102))) % 0.44/0.69 (define @t106 () (tptp.m2_cat_1 @t96 @t3 @t2)) % 0.44/0.69 (define @t107 () (=> @t106 @t105)) % 0.44/0.69 (define @t108 () (@list @t96)) % 0.44/0.69 (define @t109 () (forall @t108 @t107)) % 0.44/0.69 (define @t110 () (tptp.m2_cat_1 @t1 @t4 @t3)) % 0.44/0.69 (define @t111 () (=> @t110 @t109)) % 0.44/0.69 (define @t112 () (forall @t13 @t111)) % 0.44/0.69 (define @t113 () (=> @t65 @t112)) % 0.44/0.69 (define @t114 () (forall @t17 @t113)) % 0.44/0.69 (define @t115 () (=> @t21 @t114)) % 0.44/0.69 (define @t116 () (forall @t23 @t115)) % 0.44/0.69 (define @t117 () (=> @t27 @t116)) % 0.44/0.69 (define @t118 () (forall @t29 @t117)) % 0.44/0.69 (define @t119 () (=> @t33 @t118)) % 0.44/0.69 (define @t120 () (forall @t35 @t119)) % 0.44/0.69 (define @t121 () (@var "BOUND_VARIABLE_7806" $$unsorted)) % 0.44/0.69 (define @t122 () (@var "BOUND_VARIABLE_7802" $$unsorted)) % 0.44/0.69 (define @t123 () (@var "BOUND_VARIABLE_7800" $$unsorted)) % 0.44/0.69 (define @t124 () (@var "BOUND_VARIABLE_7804" $$unsorted)) % 0.44/0.69 (define @t125 () (and (tptp.r2_nattra_1 @t4 @t123 (tptp.k11_isocat_2 @t4 @t123 @t122 @t124) (tptp.k11_isocat_2 @t4 @t123 @t122 @t121)) (tptp.r2_nattra_1 @t4 @t122 (tptp.k12_isocat_2 @t4 @t123 @t122 @t124) (tptp.k12_isocat_2 @t4 @t123 @t122 @t121)))) % 0.44/0.69 (define @t126 () (tptp.k11_cat_2 @t123 @t122)) % 0.44/0.69 (define @t127 () (not (tptp.r2_nattra_1 @t4 @t126 @t124 @t121))) % 0.44/0.69 (define @t128 () (not (tptp.m2_cat_1 @t121 @t4 @t126))) % 0.44/0.69 (define @t129 () (not (tptp.m2_cat_1 @t124 @t4 @t126))) % 0.44/0.69 (define @t130 () (not (tptp.l1_cat_1 @t122))) % 0.44/0.69 (define @t131 () (not (tptp.v2_cat_1 @t122))) % 0.44/0.69 (define @t132 () (not (tptp.l1_cat_1 @t123))) % 0.44/0.69 (define @t133 () (not (tptp.v2_cat_1 @t123))) % 0.44/0.69 (define @t134 () (not @t31)) % 0.44/0.69 (define @t135 () (not @t32)) % 0.44/0.69 (define @t136 () (or @t135 @t134 @t133 @t132 @t131 @t130 @t129 @t128 @t127 @t125)) % 0.44/0.69 (define @t137 () (or @t133 @t132 @t131 @t130 @t129 @t128 @t127 @t125)) % 0.44/0.69 (define @t138 () (or @t135 @t134 @t137)) % 0.44/0.69 (define @t139 () (@list @t4 @t123 @t122 @t124 @t121)) % 0.44/0.69 (define @t140 () (forall @t139 @t138)) % 0.44/0.69 (define @t141 () (@list @t123 @t122 @t124 @t121)) % 0.44/0.69 (define @t142 () (forall @t141 @t138)) % 0.44/0.69 (define @t143 () (forall @t141 @t137)) % 0.44/0.69 (define @t144 () (@var "BOUND_VARIABLE_7766" $$unsorted)) % 0.44/0.69 (define @t145 () (@var "BOUND_VARIABLE_7764" $$unsorted)) % 0.44/0.69 (define @t146 () (@var "BOUND_VARIABLE_7762" $$unsorted)) % 0.44/0.69 (define @t147 () (or @t135 @t134 @t143)) % 0.44/0.69 (define @t148 () (and (tptp.r2_nattra_1 @t4 @t3 (tptp.k11_isocat_2 @t4 @t3 @t146 @t145) (tptp.k11_isocat_2 @t4 @t3 @t146 @t144)) (tptp.r2_nattra_1 @t4 @t146 (tptp.k12_isocat_2 @t4 @t3 @t146 @t145) (tptp.k12_isocat_2 @t4 @t3 @t146 @t144)))) % 0.44/0.69 (define @t149 () (tptp.k11_cat_2 @t3 @t146)) % 0.44/0.69 (define @t150 () (not (tptp.r2_nattra_1 @t4 @t149 @t145 @t144))) % 0.44/0.69 (define @t151 () (not (tptp.m2_cat_1 @t144 @t4 @t149))) % 0.44/0.69 (define @t152 () (not (tptp.m2_cat_1 @t145 @t4 @t149))) % 0.44/0.69 (define @t153 () (not (tptp.l1_cat_1 @t146))) % 0.44/0.69 (define @t154 () (not (tptp.v2_cat_1 @t146))) % 0.44/0.69 (define @t155 () (not @t25)) % 0.44/0.69 (define @t156 () (not @t26)) % 0.44/0.69 (define @t157 () (or @t156 @t155 @t154 @t153 @t152 @t151 @t150 @t148)) % 0.44/0.69 (define @t158 () (@list @t3 @t146 @t145 @t144)) % 0.44/0.69 (define @t159 () (forall @t158 @t157)) % 0.44/0.69 (define @t160 () (or @t135 @t134 @t159)) % 0.44/0.69 (define @t161 () (or @t135 @t134)) % 0.44/0.69 (define @t162 () (not @t33)) % 0.44/0.69 (define @t163 () (or @t154 @t153 @t152 @t151 @t150 @t148)) % 0.44/0.69 (define @t164 () (or @t156 @t155 @t163)) % 0.44/0.69 (define @t165 () (forall @t158 @t164)) % 0.44/0.69 (define @t166 () (@list @t146 @t145 @t144)) % 0.44/0.69 (define @t167 () (forall @t166 @t164)) % 0.44/0.69 (define @t168 () (forall @t166 @t163)) % 0.44/0.69 (define @t169 () (@var "BOUND_VARIABLE_7733" $$unsorted)) % 0.44/0.69 (define @t170 () (@var "BOUND_VARIABLE_7731" $$unsorted)) % 0.44/0.69 (define @t171 () (or @t156 @t155 @t168)) % 0.44/0.69 (define @t172 () (and (tptp.r2_nattra_1 @t4 @t3 (tptp.k11_isocat_2 @t4 @t3 @t2 @t170) (tptp.k11_isocat_2 @t4 @t3 @t2 @t169)) (tptp.r2_nattra_1 @t4 @t2 (tptp.k12_isocat_2 @t4 @t3 @t2 @t170) (tptp.k12_isocat_2 @t4 @t3 @t2 @t169)))) % 0.44/0.69 (define @t173 () (not (tptp.r2_nattra_1 @t4 @t9 @t170 @t169))) % 0.44/0.69 (define @t174 () (not (tptp.m2_cat_1 @t169 @t4 @t9))) % 0.44/0.69 (define @t175 () (not (tptp.m2_cat_1 @t170 @t4 @t9))) % 0.44/0.69 (define @t176 () (not @t19)) % 0.44/0.69 (define @t177 () (not @t20)) % 0.44/0.69 (define @t178 () (or @t177 @t176 @t175 @t174 @t173 @t172)) % 0.44/0.69 (define @t179 () (@list @t2 @t170 @t169)) % 0.44/0.69 (define @t180 () (forall @t179 @t178)) % 0.44/0.69 (define @t181 () (or @t156 @t155 @t180)) % 0.44/0.69 (define @t182 () (or @t156 @t155)) % 0.44/0.69 (define @t183 () (not @t27)) % 0.44/0.69 (define @t184 () (or @t175 @t174 @t173 @t172)) % 0.44/0.69 (define @t185 () (or @t177 @t176 @t184)) % 0.44/0.69 (define @t186 () (forall @t179 @t185)) % 0.44/0.69 (define @t187 () (@list @t170 @t169)) % 0.44/0.69 (define @t188 () (forall @t187 @t185)) % 0.44/0.69 (define @t189 () (forall @t187 @t184)) % 0.44/0.69 (define @t190 () (@var "BOUND_VARIABLE_7706" $$unsorted)) % 0.44/0.69 (define @t191 () (or @t177 @t176 @t189)) % 0.44/0.69 (define @t192 () (and (tptp.r2_nattra_1 @t4 @t3 @t7 (tptp.k11_isocat_2 @t4 @t3 @t2 @t190)) (tptp.r2_nattra_1 @t4 @t2 @t6 (tptp.k12_isocat_2 @t4 @t3 @t2 @t190)))) % 0.44/0.69 (define @t193 () (not (tptp.r2_nattra_1 @t4 @t9 @t5 @t190))) % 0.44/0.69 (define @t194 () (not (tptp.m2_cat_1 @t190 @t4 @t9))) % 0.44/0.69 (define @t195 () (not @t15)) % 0.44/0.69 (define @t196 () (or @t195 @t194 @t193 @t192)) % 0.44/0.69 (define @t197 () (@list @t5 @t190)) % 0.44/0.69 (define @t198 () (forall @t197 @t196)) % 0.44/0.69 (define @t199 () (or @t177 @t176 @t198)) % 0.44/0.69 (define @t200 () (or @t177 @t176)) % 0.44/0.69 (define @t201 () (not @t21)) % 0.44/0.69 (define @t202 () (or @t194 @t193 @t192)) % 0.44/0.69 (define @t203 () (or @t195 @t202)) % 0.44/0.69 (define @t204 () (forall @t197 @t203)) % 0.44/0.69 (define @t205 () (@list @t190)) % 0.44/0.69 (define @t206 () (forall @t205 @t203)) % 0.44/0.69 (define @t207 () (forall @t205 @t202)) % 0.44/0.69 (define @t208 () (or @t195 @t207)) % 0.44/0.69 (define @t209 () (not @t10)) % 0.44/0.69 (define @t210 () (not @t12)) % 0.44/0.69 (define @t211 () (or @t210 @t209 @t8)) % 0.44/0.69 (define @t212 () (forall @t13 @t211)) % 0.44/0.69 (define @t213 () (forall @t139 @t136)) % 0.44/0.69 (define @t214 () (@quantifiers_skolemize @t213 4)) % 0.44/0.69 (define @t215 () (@quantifiers_skolemize @t213 2)) % 0.44/0.69 (define @t216 () (@quantifiers_skolemize @t213 1)) % 0.44/0.69 (define @t217 () (@quantifiers_skolemize @t213 0)) % 0.44/0.69 (define @t218 () (tptp.k12_isocat_2 @t217 @t216 @t215 @t214)) % 0.44/0.69 (define @t219 () (@quantifiers_skolemize @t213 3)) % 0.44/0.69 (define @t220 () (tptp.k12_isocat_2 @t217 @t216 @t215 @t219)) % 0.44/0.69 (define @t221 () (tptp.r2_nattra_1 @t217 @t215 @t220 @t218)) % 0.44/0.69 (define @t222 () (tptp.k11_isocat_2 @t217 @t216 @t215 @t214)) % 0.44/0.69 (define @t223 () (tptp.k11_isocat_2 @t217 @t216 @t215 @t219)) % 0.44/0.69 (define @t224 () (tptp.r2_nattra_1 @t217 @t216 @t223 @t222)) % 0.44/0.69 (define @t225 () (and @t224 @t221)) % 0.44/0.69 (define @t226 () (tptp.k11_cat_2 @t216 @t215)) % 0.44/0.69 (define @t227 () (tptp.r2_nattra_1 @t217 @t226 @t219 @t214)) % 0.44/0.69 (define @t228 () (not @t227)) % 0.44/0.69 (define @t229 () (tptp.m2_cat_1 @t214 @t217 @t226)) % 0.44/0.69 (define @t230 () (not @t229)) % 0.44/0.69 (define @t231 () (tptp.m2_cat_1 @t219 @t217 @t226)) % 0.44/0.69 (define @t232 () (not @t231)) % 0.44/0.69 (define @t233 () (tptp.l1_cat_1 @t215)) % 0.44/0.69 (define @t234 () (not @t233)) % 0.44/0.69 (define @t235 () (tptp.v2_cat_1 @t215)) % 0.44/0.69 (define @t236 () (not @t235)) % 0.44/0.69 (define @t237 () (tptp.l1_cat_1 @t216)) % 0.44/0.69 (define @t238 () (not @t237)) % 0.44/0.69 (define @t239 () (tptp.v2_cat_1 @t216)) % 0.44/0.69 (define @t240 () (not @t239)) % 0.44/0.69 (define @t241 () (tptp.l1_cat_1 @t217)) % 0.44/0.69 (define @t242 () (not @t241)) % 0.44/0.69 (define @t243 () (tptp.v2_cat_1 @t217)) % 0.44/0.69 (define @t244 () (not @t243)) % 0.44/0.69 (define @t245 () (or @t244 @t242 @t240 @t238 @t236 @t234 @t232 @t230 @t228 @t225)) % 0.44/0.69 (define @t246 () (@list true)) % 0.44/0.69 (define @t247 () (@list @t245)) % 0.44/0.69 (define @t248 () (@var "BOUND_VARIABLE_8348" $$unsorted)) % 0.44/0.69 (define @t249 () (@var "BOUND_VARIABLE_8344" $$unsorted)) % 0.44/0.69 (define @t250 () (@var "BOUND_VARIABLE_8340" $$unsorted)) % 0.44/0.69 (define @t251 () (@var "BOUND_VARIABLE_8338" $$unsorted)) % 0.44/0.69 (define @t252 () (@var "BOUND_VARIABLE_8346" $$unsorted)) % 0.44/0.69 (define @t253 () (@var "BOUND_VARIABLE_8342" $$unsorted)) % 0.44/0.69 (define @t254 () (tptp.r2_nattra_1 @t4 @t250 (tptp.k2_isocat_1 @t4 @t251 @t250 @t253 @t252) (tptp.k2_isocat_1 @t4 @t251 @t250 @t249 @t248))) % 0.44/0.69 (define @t255 () (not (tptp.r2_nattra_1 @t251 @t250 @t252 @t248))) % 0.44/0.69 (define @t256 () (not (tptp.m2_cat_1 @t248 @t251 @t250))) % 0.44/0.69 (define @t257 () (not (tptp.m2_cat_1 @t252 @t251 @t250))) % 0.44/0.69 (define @t258 () (not (tptp.r2_nattra_1 @t4 @t251 @t253 @t249))) % 0.44/0.69 (define @t259 () (not (tptp.m2_cat_1 @t249 @t4 @t251))) % 0.44/0.69 (define @t260 () (not (tptp.m2_cat_1 @t253 @t4 @t251))) % 0.44/0.69 (define @t261 () (not (tptp.l1_cat_1 @t250))) % 0.44/0.69 (define @t262 () (not (tptp.v2_cat_1 @t250))) % 0.44/0.69 (define @t263 () (not (tptp.l1_cat_1 @t251))) % 0.44/0.69 (define @t264 () (not (tptp.v2_cat_1 @t251))) % 0.44/0.69 (define @t265 () (or @t264 @t263 @t262 @t261 @t260 @t259 @t258 @t257 @t256 @t255 @t254)) % 0.44/0.69 (define @t266 () (or @t135 @t134 @t265)) % 0.44/0.69 (define @t267 () (forall (@list @t4 @t251 @t250 @t253 @t249 @t252 @t248) @t266)) % 0.44/0.69 (define @t268 () (@list @t251 @t250 @t253 @t249 @t252 @t248)) % 0.44/0.69 (define @t269 () (forall @t268 @t266)) % 0.44/0.69 (define @t270 () (forall @t268 @t265)) % 0.44/0.69 (define @t271 () (@var "BOUND_VARIABLE_8307" $$unsorted)) % 0.44/0.69 (define @t272 () (@var "BOUND_VARIABLE_8305" $$unsorted)) % 0.44/0.69 (define @t273 () (@var "BOUND_VARIABLE_8303" $$unsorted)) % 0.44/0.69 (define @t274 () (@var "BOUND_VARIABLE_8301" $$unsorted)) % 0.44/0.69 (define @t275 () (@var "BOUND_VARIABLE_8299" $$unsorted)) % 0.44/0.69 (define @t276 () (or @t135 @t134 @t270)) % 0.44/0.69 (define @t277 () (tptp.r2_nattra_1 @t4 @t275 (tptp.k2_isocat_1 @t4 @t3 @t275 @t274 @t272) (tptp.k2_isocat_1 @t4 @t3 @t275 @t273 @t271))) % 0.44/0.69 (define @t278 () (not (tptp.r2_nattra_1 @t3 @t275 @t272 @t271))) % 0.44/0.69 (define @t279 () (not (tptp.m2_cat_1 @t271 @t3 @t275))) % 0.44/0.69 (define @t280 () (not (tptp.m2_cat_1 @t272 @t3 @t275))) % 0.44/0.69 (define @t281 () (not (tptp.r2_nattra_1 @t4 @t3 @t274 @t273))) % 0.44/0.69 (define @t282 () (not (tptp.m2_cat_1 @t273 @t4 @t3))) % 0.44/0.69 (define @t283 () (not (tptp.m2_cat_1 @t274 @t4 @t3))) % 0.44/0.69 (define @t284 () (not (tptp.l1_cat_1 @t275))) % 0.44/0.69 (define @t285 () (not (tptp.v2_cat_1 @t275))) % 0.44/0.69 (define @t286 () (or @t156 @t155 @t285 @t284 @t283 @t282 @t281 @t280 @t279 @t278 @t277)) % 0.44/0.69 (define @t287 () (@list @t3 @t275 @t274 @t273 @t272 @t271)) % 0.44/0.69 (define @t288 () (forall @t287 @t286)) % 0.44/0.69 (define @t289 () (or @t135 @t134 @t288)) % 0.44/0.69 (define @t290 () (or @t285 @t284 @t283 @t282 @t281 @t280 @t279 @t278 @t277)) % 0.44/0.69 (define @t291 () (or @t156 @t155 @t290)) % 0.44/0.69 (define @t292 () (forall @t287 @t291)) % 0.44/0.69 (define @t293 () (@list @t275 @t274 @t273 @t272 @t271)) % 0.44/0.69 (define @t294 () (forall @t293 @t291)) % 0.44/0.69 (define @t295 () (forall @t293 @t290)) % 0.44/0.69 (define @t296 () (@var "BOUND_VARIABLE_8272" $$unsorted)) % 0.44/0.69 (define @t297 () (@var "BOUND_VARIABLE_8270" $$unsorted)) % 0.44/0.69 (define @t298 () (@var "BOUND_VARIABLE_8268" $$unsorted)) % 0.44/0.69 (define @t299 () (@var "BOUND_VARIABLE_8266" $$unsorted)) % 0.44/0.69 (define @t300 () (or @t156 @t155 @t295)) % 0.44/0.69 (define @t301 () (tptp.r2_nattra_1 @t4 @t2 (tptp.k2_isocat_1 @t4 @t3 @t2 @t299 @t297) (tptp.k2_isocat_1 @t4 @t3 @t2 @t298 @t296))) % 0.44/0.69 (define @t302 () (not (tptp.r2_nattra_1 @t3 @t2 @t297 @t296))) % 0.44/0.69 (define @t303 () (not (tptp.m2_cat_1 @t296 @t3 @t2))) % 0.44/0.69 (define @t304 () (not (tptp.m2_cat_1 @t297 @t3 @t2))) % 0.44/0.69 (define @t305 () (not (tptp.r2_nattra_1 @t4 @t3 @t299 @t298))) % 0.44/0.69 (define @t306 () (not (tptp.m2_cat_1 @t298 @t4 @t3))) % 0.44/0.69 (define @t307 () (not (tptp.m2_cat_1 @t299 @t4 @t3))) % 0.44/0.69 (define @t308 () (or @t177 @t176 @t307 @t306 @t305 @t304 @t303 @t302 @t301)) % 0.44/0.69 (define @t309 () (@list @t2 @t299 @t298 @t297 @t296)) % 0.44/0.69 (define @t310 () (forall @t309 @t308)) % 0.44/0.69 (define @t311 () (or @t156 @t155 @t310)) % 0.44/0.69 (define @t312 () (or @t307 @t306 @t305 @t304 @t303 @t302 @t301)) % 0.44/0.69 (define @t313 () (or @t177 @t176 @t312)) % 0.44/0.69 (define @t314 () (forall @t309 @t313)) % 0.44/0.69 (define @t315 () (@list @t299 @t298 @t297 @t296)) % 0.44/0.69 (define @t316 () (forall @t315 @t313)) % 0.44/0.69 (define @t317 () (forall @t315 @t312)) % 0.44/0.69 (define @t318 () (@var "BOUND_VARIABLE_8241" $$unsorted)) % 0.44/0.69 (define @t319 () (@var "BOUND_VARIABLE_8239" $$unsorted)) % 0.44/0.69 (define @t320 () (@var "BOUND_VARIABLE_8237" $$unsorted)) % 0.44/0.69 (define @t321 () (or @t177 @t176 @t317)) % 0.44/0.69 (define @t322 () (tptp.r2_nattra_1 @t4 @t2 (tptp.k2_isocat_1 @t4 @t3 @t2 @t5 @t319) (tptp.k2_isocat_1 @t4 @t3 @t2 @t320 @t318))) % 0.44/0.69 (define @t323 () (not (tptp.r2_nattra_1 @t3 @t2 @t319 @t318))) % 0.44/0.69 (define @t324 () (not (tptp.m2_cat_1 @t318 @t3 @t2))) % 0.44/0.69 (define @t325 () (not (tptp.m2_cat_1 @t319 @t3 @t2))) % 0.44/0.69 (define @t326 () (not (tptp.r2_nattra_1 @t4 @t3 @t5 @t320))) % 0.44/0.69 (define @t327 () (not (tptp.m2_cat_1 @t320 @t4 @t3))) % 0.44/0.69 (define @t328 () (not @t65)) % 0.44/0.69 (define @t329 () (or @t328 @t327 @t326 @t325 @t324 @t323 @t322)) % 0.44/0.69 (define @t330 () (@list @t5 @t320 @t319 @t318)) % 0.44/0.69 (define @t331 () (forall @t330 @t329)) % 0.44/0.69 (define @t332 () (or @t177 @t176 @t331)) % 0.44/0.69 (define @t333 () (or @t327 @t326 @t325 @t324 @t323 @t322)) % 0.44/0.69 (define @t334 () (or @t328 @t333)) % 0.44/0.69 (define @t335 () (forall @t330 @t334)) % 0.44/0.69 (define @t336 () (@list @t320 @t319 @t318)) % 0.44/0.69 (define @t337 () (forall @t336 @t334)) % 0.44/0.69 (define @t338 () (forall @t336 @t333)) % 0.44/0.69 (define @t339 () (@var "BOUND_VARIABLE_8216" $$unsorted)) % 0.44/0.69 (define @t340 () (@var "BOUND_VARIABLE_8214" $$unsorted)) % 0.44/0.69 (define @t341 () (or @t328 @t338)) % 0.44/0.69 (define @t342 () (tptp.r2_nattra_1 @t4 @t2 (tptp.k2_isocat_1 @t4 @t3 @t2 @t5 @t340) (tptp.k2_isocat_1 @t4 @t3 @t2 @t1 @t339))) % 0.44/0.69 (define @t343 () (not (tptp.r2_nattra_1 @t3 @t2 @t340 @t339))) % 0.44/0.69 (define @t344 () (not (tptp.m2_cat_1 @t339 @t3 @t2))) % 0.44/0.69 (define @t345 () (not (tptp.m2_cat_1 @t340 @t3 @t2))) % 0.44/0.69 (define @t346 () (not @t100)) % 0.44/0.69 (define @t347 () (not @t110)) % 0.44/0.69 (define @t348 () (or @t347 @t346 @t345 @t344 @t343 @t342)) % 0.44/0.69 (define @t349 () (@list @t1 @t340 @t339)) % 0.44/0.69 (define @t350 () (forall @t349 @t348)) % 0.44/0.69 (define @t351 () (or @t345 @t344 @t343 @t342)) % 0.44/0.69 (define @t352 () (or @t347 @t346 @t351)) % 0.44/0.69 (define @t353 () (forall @t349 @t352)) % 0.44/0.69 (define @t354 () (@list @t340 @t339)) % 0.44/0.69 (define @t355 () (forall @t354 @t352)) % 0.44/0.69 (define @t356 () (forall @t354 @t351)) % 0.44/0.69 (define @t357 () (@var "BOUND_VARIABLE_8194" $$unsorted)) % 0.44/0.69 (define @t358 () (or @t347 @t346 @t356)) % 0.44/0.69 (define @t359 () (tptp.r2_nattra_1 @t4 @t2 @t97 (tptp.k2_isocat_1 @t4 @t3 @t2 @t1 @t357))) % 0.44/0.69 (define @t360 () (not (tptp.r2_nattra_1 @t3 @t2 @t96 @t357))) % 0.44/0.69 (define @t361 () (not (tptp.m2_cat_1 @t357 @t3 @t2))) % 0.44/0.69 (define @t362 () (not @t106)) % 0.44/0.69 (define @t363 () (or @t362 @t361 @t360 @t359)) % 0.44/0.69 (define @t364 () (@list @t96 @t357)) % 0.44/0.69 (define @t365 () (forall @t364 @t363)) % 0.44/0.69 (define @t366 () (or @t347 @t346 @t365)) % 0.44/0.69 (define @t367 () (or @t346 @t365)) % 0.44/0.69 (define @t368 () (or @t361 @t360 @t359)) % 0.44/0.69 (define @t369 () (or @t362 @t368)) % 0.44/0.69 (define @t370 () (forall @t364 @t369)) % 0.44/0.69 (define @t371 () (@list @t357)) % 0.44/0.69 (define @t372 () (forall @t371 @t369)) % 0.44/0.69 (define @t373 () (forall @t371 @t368)) % 0.44/0.69 (define @t374 () (or @t362 @t373)) % 0.44/0.69 (define @t375 () (not @t99)) % 0.44/0.69 (define @t376 () (not @t103)) % 0.44/0.69 (define @t377 () (or @t376 @t375 @t98)) % 0.44/0.69 (define @t378 () (forall @t104 @t377)) % 0.44/0.69 (define @t379 () (or @t362 @t378)) % 0.44/0.69 (define @t380 () (forall @t108 @t379)) % 0.44/0.69 (define @t381 () (or @t346 @t380)) % 0.44/0.69 (define @t382 () (or @t346 @t379)) % 0.44/0.69 (define @t383 () (or @t362 @t346 @t378)) % 0.44/0.69 (define @t384 () (or @t346 @t378)) % 0.44/0.69 (define @t385 () (or @t346 @t377)) % 0.44/0.69 (define @t386 () (or @t376 @t346 @t375 @t98)) % 0.44/0.69 (define @t387 () (or @t346 @t375 @t98)) % 0.44/0.69 (define @t388 () (tptp.k9_isocat_2 @t216 @t215)) % 0.44/0.69 (define @t389 () (not @t66)) % 0.44/0.69 (define @t390 () (or @t135 @t134 @t156 @t155 @t389 @t328)) % 0.44/0.69 (define @t391 () (or @t135 @t134 @t156 @t155)) % 0.44/0.69 (define @t392 () (not @t46)) % 0.44/0.69 (define @t393 () (@list @t216 @t215)) % 0.44/0.69 (define @t394 () (tptp.m2_cat_1 @t388 @t226 @t215)) % 0.44/0.69 (define @t395 () (or @t240 @t238 @t236 @t234 @t394)) % 0.44/0.69 (define @t396 () (@list false false false false false)) % 0.44/0.69 (define @t397 () (tptp.l1_cat_1 @t226)) % 0.44/0.69 (define @t398 () (tptp.v2_cat_1 @t226)) % 0.44/0.69 (define @t399 () (and @t398 @t397)) % 0.44/0.69 (define @t400 () (or @t240 @t238 @t236 @t234 @t399)) % 0.44/0.69 (define @t401 () (not @t399)) % 0.44/0.69 (define @t402 () (@list false)) % 0.44/0.69 (define @t403 () (@list @t399)) % 0.44/0.69 (define @t404 () (tptp.r2_nattra_1 @t226 @t215 @t388 @t388)) % 0.44/0.69 (define @t405 () (not @t394)) % 0.44/0.69 (define @t406 () (not @t397)) % 0.44/0.69 (define @t407 () (not @t398)) % 0.44/0.69 (define @t408 () (or @t407 @t406 @t236 @t234 @t405 @t405 @t404)) % 0.44/0.69 (define @t409 () (@list false false false false false false)) % 0.44/0.69 (define @t410 () (tptp.k2_isocat_1 @t217 @t226 @t215 @t214 @t388)) % 0.44/0.69 (define @t411 () (tptp.k2_isocat_1 @t217 @t226 @t215 @t219 @t388)) % 0.44/0.69 (define @t412 () (tptp.r2_nattra_1 @t217 @t215 @t411 @t410)) % 0.44/0.69 (define @t413 () (not @t404)) % 0.44/0.69 (define @t414 () (or @t244 @t242 @t407 @t406 @t236 @t234 @t232 @t230 @t228 @t405 @t405 @t413 @t412)) % 0.44/0.69 (define @t415 () (@list false false false false false false false false false false false false)) % 0.44/0.69 (define @t416 () (@var "BOUND_VARIABLE_8149" $$unsorted)) % 0.44/0.69 (define @t417 () (@var "BOUND_VARIABLE_8147" $$unsorted)) % 0.44/0.69 (define @t418 () (@var "BOUND_VARIABLE_8151" $$unsorted)) % 0.44/0.69 (define @t419 () (tptp.k11_cat_2 @t417 @t416)) % 0.44/0.69 (define @t420 () (= (tptp.k12_isocat_2 @t4 @t417 @t416 @t418) (tptp.k2_isocat_1 @t4 @t419 @t416 @t418 (tptp.k9_isocat_2 @t417 @t416)))) % 0.44/0.69 (define @t421 () (not (tptp.m2_cat_1 @t418 @t4 @t419))) % 0.44/0.69 (define @t422 () (not (tptp.l1_cat_1 @t416))) % 0.44/0.69 (define @t423 () (not (tptp.v2_cat_1 @t416))) % 0.44/0.69 (define @t424 () (not (tptp.l1_cat_1 @t417))) % 0.44/0.69 (define @t425 () (not (tptp.v2_cat_1 @t417))) % 0.44/0.69 (define @t426 () (or @t425 @t424 @t423 @t422 @t421 @t420)) % 0.44/0.69 (define @t427 () (or @t135 @t134 @t426)) % 0.44/0.69 (define @t428 () (forall (@list @t4 @t417 @t416 @t418) @t427)) % 0.44/0.69 (define @t429 () (@list @t417 @t416 @t418)) % 0.44/0.69 (define @t430 () (forall @t429 @t427)) % 0.44/0.69 (define @t431 () (forall @t429 @t426)) % 0.44/0.69 (define @t432 () (@var "BOUND_VARIABLE_8124" $$unsorted)) % 0.44/0.69 (define @t433 () (@var "BOUND_VARIABLE_8122" $$unsorted)) % 0.44/0.69 (define @t434 () (or @t135 @t134 @t431)) % 0.44/0.69 (define @t435 () (tptp.k11_cat_2 @t3 @t433)) % 0.44/0.69 (define @t436 () (= (tptp.k12_isocat_2 @t4 @t3 @t433 @t432) (tptp.k2_isocat_1 @t4 @t435 @t433 @t432 (tptp.k9_isocat_2 @t3 @t433)))) % 0.44/0.69 (define @t437 () (not (tptp.m2_cat_1 @t432 @t4 @t435))) % 0.44/0.69 (define @t438 () (not (tptp.l1_cat_1 @t433))) % 0.44/0.69 (define @t439 () (not (tptp.v2_cat_1 @t433))) % 0.44/0.69 (define @t440 () (or @t156 @t155 @t439 @t438 @t437 @t436)) % 0.44/0.69 (define @t441 () (@list @t3 @t433 @t432)) % 0.44/0.69 (define @t442 () (forall @t441 @t440)) % 0.44/0.69 (define @t443 () (or @t135 @t134 @t442)) % 0.44/0.69 (define @t444 () (or @t439 @t438 @t437 @t436)) % 0.44/0.69 (define @t445 () (or @t156 @t155 @t444)) % 0.44/0.69 (define @t446 () (forall @t441 @t445)) % 0.44/0.69 (define @t447 () (@list @t433 @t432)) % 0.44/0.69 (define @t448 () (forall @t447 @t445)) % 0.44/0.69 (define @t449 () (forall @t447 @t444)) % 0.44/0.69 (define @t450 () (@var "BOUND_VARIABLE_8105" $$unsorted)) % 0.44/0.69 (define @t451 () (or @t156 @t155 @t449)) % 0.44/0.69 (define @t452 () (= (tptp.k12_isocat_2 @t4 @t3 @t2 @t450) (tptp.k2_isocat_1 @t4 @t9 @t2 @t450 @t86))) % 0.44/0.69 (define @t453 () (not (tptp.m2_cat_1 @t450 @t4 @t9))) % 0.44/0.69 (define @t454 () (or @t177 @t176 @t453 @t452)) % 0.44/0.69 (define @t455 () (@list @t2 @t450)) % 0.44/0.69 (define @t456 () (forall @t455 @t454)) % 0.44/0.69 (define @t457 () (or @t156 @t155 @t456)) % 0.44/0.69 (define @t458 () (or @t453 @t452)) % 0.44/0.69 (define @t459 () (or @t177 @t176 @t458)) % 0.44/0.69 (define @t460 () (forall @t455 @t459)) % 0.44/0.69 (define @t461 () (@list @t450)) % 0.44/0.69 (define @t462 () (forall @t461 @t459)) % 0.44/0.69 (define @t463 () (forall @t461 @t458)) % 0.44/0.69 (define @t464 () (@list @t5)) % 0.44/0.69 (define @t465 () (or @t177 @t176 @t463)) % 0.44/0.69 (define @t466 () (forall @t17 (or @t195 @t87))) % 0.44/0.69 (define @t467 () (or @t177 @t176 @t466)) % 0.44/0.69 (define @t468 () (@list @t217 @t216 @t215 @t214)) % 0.44/0.69 (define @t469 () (= @t218 @t410)) % 0.44/0.69 (define @t470 () (or @t244 @t242 @t240 @t238 @t236 @t234 @t230 @t469)) % 0.44/0.69 (define @t471 () (@list false false false false false false false false)) % 0.44/0.69 (define @t472 () (@list @t217 @t216 @t215 @t219)) % 0.44/0.69 (define @t473 () (= @t220 @t411)) % 0.44/0.69 (define @t474 () (or @t244 @t242 @t240 @t238 @t236 @t234 @t232 @t473)) % 0.44/0.69 (define @t475 () (tptp.k8_isocat_2 @t216 @t215)) % 0.44/0.69 (define @t476 () (tptp.m2_cat_1 @t475 @t226 @t216)) % 0.44/0.69 (define @t477 () (or @t240 @t238 @t236 @t234 @t476)) % 0.44/0.69 (define @t478 () (tptp.r2_nattra_1 @t226 @t216 @t475 @t475)) % 0.44/0.69 (define @t479 () (not @t476)) % 0.44/0.69 (define @t480 () (or @t407 @t406 @t240 @t238 @t479 @t479 @t478)) % 0.44/0.69 (define @t481 () (tptp.k2_isocat_1 @t217 @t226 @t216 @t214 @t475)) % 0.44/0.69 (define @t482 () (tptp.k2_isocat_1 @t217 @t226 @t216 @t219 @t475)) % 0.44/0.69 (define @t483 () (tptp.r2_nattra_1 @t217 @t216 @t482 @t481)) % 0.44/0.69 (define @t484 () (not @t478)) % 0.44/0.69 (define @t485 () (or @t244 @t242 @t407 @t406 @t240 @t238 @t232 @t230 @t228 @t479 @t479 @t484 @t483)) % 0.44/0.69 (define @t486 () (@var "BOUND_VARIABLE_8073" $$unsorted)) % 0.44/0.69 (define @t487 () (@var "BOUND_VARIABLE_8071" $$unsorted)) % 0.44/0.69 (define @t488 () (@var "BOUND_VARIABLE_8075" $$unsorted)) % 0.44/0.69 (define @t489 () (tptp.k11_cat_2 @t487 @t486)) % 0.44/0.69 (define @t490 () (= (tptp.k11_isocat_2 @t4 @t487 @t486 @t488) (tptp.k2_isocat_1 @t4 @t489 @t487 @t488 (tptp.k8_isocat_2 @t487 @t486)))) % 0.44/0.69 (define @t491 () (not (tptp.m2_cat_1 @t488 @t4 @t489))) % 0.44/0.69 (define @t492 () (not (tptp.l1_cat_1 @t486))) % 0.44/0.69 (define @t493 () (not (tptp.v2_cat_1 @t486))) % 0.44/0.69 (define @t494 () (not (tptp.l1_cat_1 @t487))) % 0.44/0.69 (define @t495 () (not (tptp.v2_cat_1 @t487))) % 0.44/0.69 (define @t496 () (or @t495 @t494 @t493 @t492 @t491 @t490)) % 0.44/0.69 (define @t497 () (or @t135 @t134 @t496)) % 0.44/0.69 (define @t498 () (forall (@list @t4 @t487 @t486 @t488) @t497)) % 0.44/0.69 (define @t499 () (@list @t487 @t486 @t488)) % 0.44/0.69 (define @t500 () (forall @t499 @t497)) % 0.44/0.69 (define @t501 () (forall @t499 @t496)) % 0.44/0.69 (define @t502 () (@var "BOUND_VARIABLE_8048" $$unsorted)) % 0.44/0.69 (define @t503 () (@var "BOUND_VARIABLE_8046" $$unsorted)) % 0.44/0.69 (define @t504 () (or @t135 @t134 @t501)) % 0.44/0.69 (define @t505 () (tptp.k11_cat_2 @t3 @t503)) % 0.44/0.69 (define @t506 () (= (tptp.k11_isocat_2 @t4 @t3 @t503 @t502) (tptp.k2_isocat_1 @t4 @t505 @t3 @t502 (tptp.k8_isocat_2 @t3 @t503)))) % 0.44/0.69 (define @t507 () (not (tptp.m2_cat_1 @t502 @t4 @t505))) % 0.44/0.69 (define @t508 () (not (tptp.l1_cat_1 @t503))) % 0.44/0.69 (define @t509 () (not (tptp.v2_cat_1 @t503))) % 0.44/0.69 (define @t510 () (or @t156 @t155 @t509 @t508 @t507 @t506)) % 0.44/0.69 (define @t511 () (@list @t3 @t503 @t502)) % 0.44/0.69 (define @t512 () (forall @t511 @t510)) % 0.44/0.69 (define @t513 () (or @t135 @t134 @t512)) % 0.44/0.69 (define @t514 () (or @t509 @t508 @t507 @t506)) % 0.44/0.69 (define @t515 () (or @t156 @t155 @t514)) % 0.44/0.69 (define @t516 () (forall @t511 @t515)) % 0.44/0.69 (define @t517 () (@list @t503 @t502)) % 0.44/0.69 (define @t518 () (forall @t517 @t515)) % 0.44/0.69 (define @t519 () (forall @t517 @t514)) % 0.44/0.69 (define @t520 () (@var "BOUND_VARIABLE_8029" $$unsorted)) % 0.44/0.69 (define @t521 () (or @t156 @t155 @t519)) % 0.44/0.69 (define @t522 () (= (tptp.k11_isocat_2 @t4 @t3 @t2 @t520) (tptp.k2_isocat_1 @t4 @t9 @t3 @t520 @t77))) % 0.44/0.69 (define @t523 () (not (tptp.m2_cat_1 @t520 @t4 @t9))) % 0.44/0.69 (define @t524 () (or @t177 @t176 @t523 @t522)) % 0.44/0.69 (define @t525 () (@list @t2 @t520)) % 0.44/0.69 (define @t526 () (forall @t525 @t524)) % 0.44/0.69 (define @t527 () (or @t156 @t155 @t526)) % 0.44/0.69 (define @t528 () (or @t523 @t522)) % 0.44/0.69 (define @t529 () (or @t177 @t176 @t528)) % 0.44/0.69 (define @t530 () (forall @t525 @t529)) % 0.44/0.69 (define @t531 () (@list @t520)) % 0.44/0.69 (define @t532 () (forall @t531 @t529)) % 0.44/0.69 (define @t533 () (forall @t531 @t528)) % 0.44/0.69 (define @t534 () (or @t177 @t176 @t533)) % 0.44/0.69 (define @t535 () (forall @t17 (or @t195 @t78))) % 0.44/0.69 (define @t536 () (or @t177 @t176 @t535)) % 0.44/0.69 (define @t537 () (= @t222 @t481)) % 0.44/0.69 (define @t538 () (or @t244 @t242 @t240 @t238 @t236 @t234 @t230 @t537)) % 0.44/0.69 (define @t539 () (= @t223 @t482)) % 0.44/0.69 (define @t540 () (or @t244 @t242 @t240 @t238 @t236 @t234 @t232 @t539)) % 0.44/0.69 (assume @p1 @t37) % 0.44/0.69 (assume @p2 (forall @t38 (tptp.r1_tarski @t4 @t4))) % 0.44/0.69 (assume @p3 (forall @t38 (=> @t39 (not (tptp.r2_hidden @t3 @t4))))) % 0.44/0.69 (assume @p4 true) % 0.44/0.69 (assume @p5 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.44/0.69 (assume @p6 (forall @t38 (=> @t39 @t40))) % 0.44/0.69 (assume @p7 (forall @t42 (=> (and @t39 @t41) (tptp.m1_subset_1 @t4 @t2)))) % 0.44/0.69 (assume @p8 (forall @t42 (not (and @t39 @t41 (tptp.v1_xboole_0 @t2))))) % 0.44/0.69 (assume @p9 (forall @t38 (exists @t23 @t43))) % 0.44/0.69 (assume @p10 (forall @t35 (exists @t29 (tptp.m1_subset_1 @t3 @t4)))) % 0.44/0.69 (assume @p11 (forall @t38 (=> @t46 (tptp.m2_cat_1 @t45 @t44 @t4)))) % 0.44/0.69 (assume @p12 (forall @t38 (=> @t46 (tptp.m2_cat_1 @t47 @t44 @t3)))) % 0.44/0.69 (assume @p13 (forall @t42 (=> @t49 (tptp.v1_relat_1 @t2)))) % 0.44/0.69 (assume @p14 (forall @t35 (not (tptp.v1_xboole_0 @t50)))) % 0.44/0.69 (assume @p15 (forall @t38 (=> (and @t54 @t52) (not (tptp.v1_xboole_0 @t48))))) % 0.44/0.69 (assume @p16 (forall @t35 (=> @t54 (exists @t29 (and @t55 @t52))))) % 0.44/0.69 (assume @p17 (exists @t35 @t53)) % 0.44/0.69 (assume @p18 (forall @t35 (exists @t29 (and @t55 @t51)))) % 0.44/0.69 (assume @p19 (exists @t35 @t54)) % 0.44/0.69 (assume @p20 (forall @t38 (=> @t40 (or @t51 @t39)))) % 0.44/0.69 (assume @p21 (forall @t38 (= (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t3)) (tptp.r1_tarski @t4 @t3)))) % 0.44/0.69 (assume @p22 (forall @t35 (=> @t53 (= @t4 tptp.k1_xboole_0)))) % 0.44/0.69 (assume @p23 (forall @t38 (not (and @t39 @t51)))) % 0.44/0.69 (assume @p24 (forall @t38 (not (and @t53 (not (= @t4 @t3)) @t51)))) % 0.44/0.69 (assume @p25 (forall @t38 (exists @t23 @t56))) % 0.44/0.69 (assume @p26 (forall @t38 (=> @t46 (= @t57 @t45)))) % 0.44/0.69 (assume @p27 (forall @t38 (=> @t46 (= @t58 @t47)))) % 0.44/0.69 (assume @p28 (forall @t42 (= @t56 @t43))) % 0.44/0.69 (assume @p29 (forall @t38 (=> (and (tptp.v1_relat_1 @t4) (tptp.v1_relat_1 @t3)) (tptp.v1_relat_1 (tptp.k5_relat_1 @t4 @t3))))) % 0.44/0.69 (assume @p30 @t60) % 0.44/0.69 (assume @p31 @t62) % 0.44/0.69 (assume @p32 (forall @t42 (=> @t56 @t49))) % 0.44/0.69 (assume @p33 (forall @t35 (=> @t31 (not (tptp.v1_xboole_0 @t63))))) % 0.44/0.69 (assume @p34 @t69) % 0.44/0.69 (assume @p35 (exists @t35 @t31)) % 0.44/0.69 (assume @p36 (forall @t38 (=> @t46 (exists @t23 @t66)))) % 0.44/0.69 (assume @p37 (forall @t72 (=> @t71 (= @t70 (tptp.k5_relat_1 @t5 @t1))))) % 0.44/0.69 (assume @p38 @t74) % 0.44/0.69 (assume @p39 (forall @t68 (=> @t75 (tptp.m2_cat_1 @t7 @t4 @t3)))) % 0.44/0.69 (assume @p40 (forall @t68 (=> @t75 (tptp.m2_cat_1 @t6 @t4 @t2)))) % 0.44/0.69 (assume @p41 (forall @t72 (=> @t71 (tptp.m2_cat_1 @t70 @t4 @t2)))) % 0.44/0.69 (assume @p42 (forall @t38 (=> @t46 (forall @t23 (=> @t66 (and (tptp.v1_funct_1 @t2) (tptp.v1_funct_2 @t2 @t63 @t76) (tptp.m2_relset_1 @t2 @t63 @t76))))))) % 0.44/0.69 (assume @p43 @t85) % 0.44/0.69 (assume @p44 @t94) % 0.44/0.69 (assume @p45 @t120) % 0.44/0.69 (step @p46 :rule aci_norm :args ((= @t138 @t136))) % 0.44/0.69 (step @p47 :rule cong :premises (@p46) :args (@t140)) % 0.44/0.69 (step @p48 :rule quant-merge-prenex :args ((= (forall @t35 @t142) @t140))) % 0.44/0.69 (step @p49 :rule alpha_equiv :args (@t143 (@list @t123 @t122 @t124 @t121) (@list @t3 @t146 @t145 @t144))) % 0.44/0.69 (step @p50 :rule refl :args (@t134)) % 0.44/0.69 (step @p51 :rule refl :args (@t135)) % 0.44/0.69 (step @p52 :rule nary_cong :premises (@p51 @p50 @p49) :args (@t147)) % 0.44/0.69 (step @p53 :rule quant-miniscope-or :args ((= @t142 @t147))) % 0.44/0.69 (step @p54 :rule trans :premises (@p53 @p52)) % 0.44/0.69 (step @p55 :rule symm :premises (@p54)) % 0.44/0.69 (step @p56 :rule cong :premises (@p55) :args ((forall @t35 @t160))) % 0.44/0.69 (step @p57 :rule trans :premises (@p56 @p48)) % 0.44/0.69 (step @p58 :rule trans :premises (@p57 @p47)) % 0.44/0.69 (step @p59 :rule aci_norm :args ((= (or @t161 @t159) @t160))) % 0.44/0.69 (step @p60 :rule refl :args (@t159)) % 0.44/0.69 (step @p61 :rule bool-and-de-morgan :args (@t32 @t31 true)) % 0.44/0.69 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t162 @t159))) % 0.44/0.69 (step @p63 :rule trans :premises (@p62 @p59)) % 0.44/0.69 (step @p64 :rule bool-impl-elim :args (@t33 @t159)) % 0.44/0.69 (step @p65 :rule trans :premises (@p64 @p63)) % 0.44/0.69 (step @p66 :rule cong :premises (@p65) :args ((forall @t35 (=> @t33 @t159)))) % 0.44/0.69 (step @p67 :rule trans :premises (@p66 @p58)) % 0.44/0.69 (step @p68 :rule aci_norm :args ((= @t164 @t157))) % 0.44/0.69 (step @p69 :rule cong :premises (@p68) :args (@t165)) % 0.44/0.69 (step @p70 :rule quant-merge-prenex :args ((= (forall @t29 @t167) @t165))) % 0.44/0.69 (step @p71 :rule alpha_equiv :args (@t168 (@list @t146 @t145 @t144) (@list @t2 @t170 @t169))) % 0.44/0.69 (step @p72 :rule refl :args (@t155)) % 0.44/0.69 (step @p73 :rule refl :args (@t156)) % 0.44/0.69 (step @p74 :rule nary_cong 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@t240 @t238 @t236 @t234 @t476 (not @t477)))) % 0.44/0.69 (step @p533 :rule chain_m_resolution :premises (@p532 @p377 @p371 @p365 @p359 @p530) :args (@t476 @t396 (@list @t239 @t237 @t235 @t233 @t477))) % 0.44/0.69 (step @p534 :rule cnf_or_pos :args (@t480)) % 0.44/0.69 (step @p535 :rule factoring :premises (@p534)) % 0.44/0.69 (step @p536 :rule reordering :premises (@p535) :args ((or @t240 @t238 @t407 @t406 @t479 @t478 (not @t480)))) % 0.44/0.69 (step @p537 :rule chain_m_resolution :premises (@p536 @p377 @p371 @p398 @p395 @p533 @p521) :args (@t478 @t409 (@list @t239 @t237 @t398 @t397 @t476 @t480))) % 0.44/0.69 (step @p538 :rule cnf_or_pos :args (@t485)) % 0.44/0.69 (step @p539 :rule factoring :premises (@p538)) % 0.44/0.69 (step @p540 :rule reordering :premises (@p539) :args ((or @t244 @t242 @t240 @t238 @t232 @t230 @t228 @t407 @t406 @t479 @t484 @t483 (not @t485)))) % 0.44/0.69 (step @p541 :rule chain_m_resolution :premises (@p540 @p432 @p426 @p377 @p371 @p420 @p414 @p408 @p398 @p395 @p533 @p537 @p520) :args (@t483 @t415 (@list @t243 @t241 @t239 @t237 @t231 @t229 @t227 @t398 @t397 @t476 @t478 @t485))) % 0.44/0.69 (step @p542 :rule true_intro :premises (@p541)) % 0.44/0.69 (step @p543 :rule aci_norm :args ((= @t497 (or @t135 @t134 @t495 @t494 @t493 @t492 @t491 @t490)))) % 0.44/0.69 (step @p544 :rule cong :premises (@p543) :args (@t498)) % 0.44/0.69 (step @p545 :rule quant-merge-prenex :args ((= (forall @t35 @t500) @t498))) % 0.44/0.69 (step @p546 :rule alpha_equiv :args (@t501 (@list @t487 @t486 @t488) (@list @t3 @t503 @t502))) % 0.44/0.69 (step @p547 :rule nary_cong :premises (@p51 @p50 @p546) :args (@t504)) % 0.44/0.69 (step @p548 :rule quant-miniscope-or :args ((= @t500 @t504))) % 0.44/0.69 (step @p549 :rule trans :premises (@p548 @p547)) % 0.44/0.69 (step @p550 :rule symm :premises (@p549)) % 0.44/0.69 (step @p551 :rule cong :premises (@p550) :args ((forall @t35 @t513))) % 0.44/0.69 (step @p552 :rule trans :premises (@p551 @p545)) % 0.44/0.69 (step @p553 :rule trans :premises (@p552 @p544)) % 0.44/0.69 (step @p554 :rule aci_norm :args ((= (or @t161 @t512) @t513))) % 0.44/0.69 (step @p555 :rule refl :args (@t512)) % 0.44/0.69 (step @p556 :rule nary_cong :premises (@p61 @p555) :args ((or @t162 @t512))) % 0.44/0.69 (step @p557 :rule trans :premises (@p556 @p554)) % 0.44/0.69 (step @p558 :rule bool-impl-elim :args (@t33 @t512)) % 0.44/0.69 (step @p559 :rule trans :premises (@p558 @p557)) % 0.44/0.69 (step @p560 :rule cong :premises (@p559) :args ((forall @t35 (=> @t33 @t512)))) % 0.44/0.69 (step @p561 :rule trans :premises (@p560 @p553)) % 0.44/0.69 (step @p562 :rule aci_norm :args ((= @t515 @t510))) % 0.44/0.69 (step @p563 :rule cong :premises (@p562) :args (@t516)) % 0.44/0.69 (step @p564 :rule quant-merge-prenex :args ((= (forall @t29 @t518) @t516))) % 0.44/0.69 (step @p565 :rule alpha_equiv :args (@t519 (@list @t503 @t502) (@list @t2 @t520))) % 0.44/0.69 (step @p566 :rule nary_cong :premises (@p73 @p72 @p565) :args (@t521)) % 0.44/0.69 (step @p567 :rule quant-miniscope-or :args ((= @t518 @t521))) % 0.44/0.69 (step @p568 :rule trans :premises (@p567 @p566)) % 0.44/0.69 (step @p569 :rule symm :premises (@p568)) % 0.44/0.69 (step @p570 :rule cong :premises (@p569) :args ((forall @t29 @t527))) % 0.44/0.69 (step @p571 :rule trans :premises (@p570 @p564)) % 0.44/0.69 (step @p572 :rule trans :premises (@p571 @p563)) % 0.44/0.69 (step @p573 :rule aci_norm :args ((= (or @t182 @t526) @t527))) % 0.44/0.69 (step @p574 :rule refl :args (@t526)) % 0.44/0.69 (step @p575 :rule nary_cong :premises (@p83 @p574) :args ((or @t183 @t526))) % 0.44/0.69 (step @p576 :rule trans :premises (@p575 @p573)) % 0.44/0.69 (step @p577 :rule bool-impl-elim :args (@t27 @t526)) % 0.44/0.69 (step @p578 :rule trans :premises (@p577 @p576)) % 0.44/0.69 (step @p579 :rule cong :premises (@p578) :args ((forall @t29 (=> @t27 @t526)))) % 0.44/0.69 (step @p580 :rule trans :premises (@p579 @p572)) % 0.44/0.69 (step @p581 :rule aci_norm :args ((= @t529 @t524))) % 0.44/0.69 (step @p582 :rule cong :premises (@p581) :args (@t530)) % 0.44/0.69 (step @p583 :rule quant-merge-prenex :args ((= (forall @t23 @t532) @t530))) % 0.44/0.69 (step @p584 :rule alpha_equiv :args (@t533 (@list @t520) @t464)) % 0.44/0.69 (step @p585 :rule nary_cong :premises (@p95 @p94 @p584) :args (@t534)) % 0.44/0.69 (step @p586 :rule quant-miniscope-or :args ((= @t532 @t534))) % 0.44/0.69 (step @p587 :rule trans :premises (@p586 @p585)) % 0.44/0.69 (step @p588 :rule symm :premises (@p587)) % 0.44/0.69 (step @p589 :rule cong :premises (@p588) :args ((forall @t23 @t536))) % 0.44/0.69 (step @p590 :rule trans :premises (@p589 @p583)) % 0.44/0.69 (step @p591 :rule trans :premises (@p590 @p582)) % 0.44/0.69 (step @p592 :rule aci_norm :args ((= (or @t200 @t535) @t536))) % 0.44/0.69 (step @p593 :rule refl :args (@t535)) % 0.44/0.69 (step @p594 :rule nary_cong :premises (@p105 @p593) :args ((or @t201 @t535))) % 0.44/0.69 (step @p595 :rule trans :premises (@p594 @p592)) % 0.44/0.69 (step @p596 :rule bool-impl-elim :args (@t21 @t535)) % 0.44/0.69 (step @p597 :rule trans :premises (@p596 @p595)) % 0.44/0.69 (step @p598 :rule cong :premises (@p597) :args ((forall @t23 (=> @t21 @t535)))) % 0.44/0.69 (step @p599 :rule trans :premises (@p598 @p591)) % 0.44/0.69 (step @p600 :rule bool-impl-elim :args (@t15 @t78)) % 0.44/0.69 (step @p601 :rule cong :premises (@p600) :args (@t79)) % 0.44/0.69 (step @p602 :rule cong :premises (@p139 @p601) :args (@t80)) % 0.44/0.69 (step @p603 :rule cong :premises (@p602) :args (@t81)) % 0.44/0.69 (step @p604 :rule trans :premises (@p603 @p599)) % 0.44/0.69 (step @p605 :rule cong :premises (@p143 @p604) :args (@t82)) % 0.44/0.69 (step @p606 :rule cong :premises (@p605) :args (@t83)) % 0.44/0.69 (step @p607 :rule trans :premises (@p606 @p580)) % 0.44/0.69 (step @p608 :rule cong :premises (@p147 @p607) :args (@t84)) % 0.44/0.69 (step @p609 :rule cong :premises (@p608) :args (@t85)) % 0.44/0.69 (step @p610 :rule trans :premises (@p609 @p561)) % 0.44/0.69 (step @p611 :rule eq_resolve :premises (@p43 @p610)) % 0.44/0.69 (step @p612 :rule instantiate :premises (@p611) :args (@t468)) % 0.44/0.69 (step @p613 :rule cnf_or_pos :args (@t538)) % 0.44/0.69 (step @p614 :rule reordering :premises (@p613) :args ((or @t244 @t242 @t240 @t238 @t236 @t234 @t230 @t537 (not @t538)))) % 0.44/0.69 (step @p615 :rule chain_m_resolution :premises (@p614 @p432 @p426 @p377 @p371 @p365 @p359 @p414 @p612) :args (@t537 @t471 (@list @t243 @t241 @t239 @t237 @t235 @t233 @t229 @t538))) % 0.44/0.69 (step @p616 :rule instantiate :premises (@p611) :args (@t472)) % 0.44/0.69 (step @p617 :rule cnf_or_pos :args (@t540)) % 0.44/0.69 (step @p618 :rule reordering :premises (@p617) :args ((or @t244 @t242 @t240 @t238 @t236 @t234 @t232 @t539 (not @t540)))) % 0.44/0.69 (step @p619 :rule chain_m_resolution :premises (@p618 @p432 @p426 @p377 @p371 @p365 @p359 @p420 @p616) :args (@t539 @t471 (@list @t243 @t241 @t239 @t237 @t235 @t233 @t231 @t540))) % 0.44/0.69 (step @p620 :rule refl :args (@t216)) % 0.44/0.69 (step @p621 :rule cong :premises (@p516 @p620 @p619 @p615) :args (@t224)) % 0.44/0.69 (step @p622 :rule trans :premises (@p621 @p542)) % 0.44/0.69 (step @p623 :rule true_elim :premises (@p622)) % 0.44/0.69 (step @p624 :rule cnf_and_neg :args (@t225)) % 0.44/0.69 (step @p625 false :rule chain_m_resolution :premises (@p624 @p623 @p519 @p155) :args (false (@list false false true) (@list @t224 @t221 @t225))) % 0.44/0.69 ) % 0.44/0.69 % SZS output end Proof % 0.44/0.69 % cvc5 exiting %------------------------------------------------------------------------------