%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT323+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 : n006.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 08:30:18 AM UTC 2026 % Result : Theorem 0.36s 0.80s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT323+1 : TPTP v9.2.1. Released v3.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.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 06:28:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.80 % SZS status Theorem % 0.36/0.80 % SZS output start Proof % 0.36/0.80 ( % 0.36/0.80 (declare-sort $$unsorted 0) % 0.36/0.80 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.v1_filter_0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.k1_lattice2 (-> $$unsorted $$unsorted)) % 0.36/0.80 (declare-const tptp.v11_lattices (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.v16_lattices (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.k7_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.80 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.v17_lattices (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 0.36/0.80 (declare-const tptp.m2_filter_2 (-> $$unsorted $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.36/0.80 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.v13_lattices (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.r2_filter_2 (-> $$unsorted $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 0.36/0.80 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.v12_lattices (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.k7_lattices (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.80 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.80 (declare-const tptp.v14_lattices (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.m1_filter_0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.m1_filter_2 (-> $$unsorted $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.k15_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.80 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.36/0.80 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.80 (declare-const tptp.k5_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.80 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.36/0.80 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.36/0.80 (declare-const tptp.v15_lattices (-> $$unsorted Bool)) % 0.36/0.80 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.80 (define @t2 () (@var "C" $$unsorted)) % 0.36/0.80 (define @t3 () (@var "A" $$unsorted)) % 0.36/0.80 (define @t4 () (= (tptp.r2_hidden @t2 @t1) (not (tptp.r2_hidden (tptp.k7_lattices @t3 @t2) @t1)))) % 0.36/0.80 (define @t5 () (tptp.u1_struct_0 @t3)) % 0.36/0.80 (define @t6 () (tptp.m1_subset_1 @t2 @t5)) % 0.36/0.80 (define @t7 () (@list @t2)) % 0.36/0.80 (define @t8 () (forall @t7 (=> @t6 @t4))) % 0.36/0.80 (define @t9 () (tptp.r2_filter_2 @t3 @t1)) % 0.36/0.80 (define @t10 () (=> @t9 @t8)) % 0.36/0.80 (define @t11 () (tptp.m2_filter_2 @t1 @t3)) % 0.36/0.80 (define @t12 () (=> @t11 @t10)) % 0.36/0.80 (define @t13 () (@list @t1)) % 0.36/0.80 (define @t14 () (forall @t13 @t12)) % 0.36/0.80 (define @t15 () (tptp.l3_lattices @t3)) % 0.36/0.80 (define @t16 () (tptp.v17_lattices @t3)) % 0.36/0.80 (define @t17 () (tptp.v10_lattices @t3)) % 0.36/0.80 (define @t18 () (tptp.v3_struct_0 @t3)) % 0.36/0.80 (define @t19 () (not @t18)) % 0.36/0.80 (define @t20 () (and @t19 @t17 @t16 @t15)) % 0.36/0.80 (define @t21 () (=> @t20 @t14)) % 0.36/0.80 (define @t22 () (@list @t3)) % 0.36/0.80 (define @t23 () (forall @t22 @t21)) % 0.36/0.80 (define @t24 () (not @t23)) % 0.36/0.80 (define @t25 () (tptp.u1_lattices @t3)) % 0.36/0.80 (define @t26 () (tptp.u2_lattices @t3)) % 0.36/0.80 (define @t27 () (tptp.v3_lattices @t3)) % 0.36/0.80 (define @t28 () (tptp.r2_hidden @t3 @t1)) % 0.36/0.80 (define @t29 () (@list @t3 @t1)) % 0.36/0.80 (define @t30 () (tptp.v1_funct_1 @t3)) % 0.36/0.80 (define @t31 () (tptp.v1_xboole_0 @t3)) % 0.36/0.80 (define @t32 () (tptp.v9_lattices @t3)) % 0.36/0.80 (define @t33 () (tptp.v8_lattices @t3)) % 0.36/0.80 (define @t34 () (tptp.v7_lattices @t3)) % 0.36/0.80 (define @t35 () (tptp.v6_lattices @t3)) % 0.36/0.80 (define @t36 () (tptp.v5_lattices @t3)) % 0.36/0.80 (define @t37 () (tptp.v4_lattices @t3)) % 0.36/0.80 (define @t38 () (and @t19 @t37 @t36 @t35 @t34 @t33 @t32)) % 0.36/0.80 (define @t39 () (and @t19 @t17)) % 0.36/0.80 (define @t40 () (tptp.k2_zfmisc_1 @t3 @t1)) % 0.36/0.80 (define @t41 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t40))) % 0.36/0.80 (define @t42 () (@list @t3 @t1 @t2)) % 0.36/0.80 (define @t43 () (tptp.v1_relat_1 @t3)) % 0.36/0.80 (define @t44 () (and @t43 @t30 (tptp.v2_funct_1 @t3))) % 0.36/0.80 (define @t45 () (and @t43 @t31 @t30)) % 0.36/0.80 (define @t46 () (tptp.v15_lattices @t3)) % 0.36/0.80 (define @t47 () (and @t19 @t46)) % 0.36/0.80 (define @t48 () (tptp.v14_lattices @t3)) % 0.36/0.80 (define @t49 () (tptp.v13_lattices @t3)) % 0.36/0.80 (define @t50 () (and @t19 @t49 @t48)) % 0.36/0.80 (define @t51 () (tptp.v16_lattices @t3)) % 0.36/0.80 (define @t52 () (tptp.v11_lattices @t3)) % 0.36/0.80 (define @t53 () (and @t19 @t16)) % 0.36/0.80 (define @t54 () (tptp.v12_lattices @t3)) % 0.36/0.80 (define @t55 () (tptp.k1_lattice2 @t3)) % 0.36/0.80 (define @t56 () (tptp.k5_filter_2 @t3 @t1)) % 0.36/0.80 (define @t57 () (tptp.m1_subset_1 @t1 @t5)) % 0.36/0.80 (define @t58 () (=> @t57 (= @t56 @t1))) % 0.36/0.80 (define @t59 () (forall @t13 @t58)) % 0.36/0.80 (define @t60 () (and @t19 @t17 @t15)) % 0.36/0.80 (define @t61 () (=> @t60 @t59)) % 0.36/0.80 (define @t62 () (forall @t22 @t61)) % 0.36/0.80 (define @t63 () (tptp.k7_filter_2 @t3 @t1)) % 0.36/0.80 (define @t64 () (tptp.k1_zfmisc_1 @t5)) % 0.36/0.80 (define @t65 () (tptp.m1_subset_1 @t1 @t64)) % 0.36/0.80 (define @t66 () (=> @t65 (= @t63 @t1))) % 0.36/0.80 (define @t67 () (forall @t13 @t66)) % 0.36/0.80 (define @t68 () (=> @t60 @t67)) % 0.36/0.80 (define @t69 () (forall @t22 @t68)) % 0.36/0.80 (define @t70 () (tptp.g3_lattices @t3 @t1 @t2)) % 0.36/0.80 (define @t71 () (tptp.v3_lattices @t70)) % 0.36/0.80 (define @t72 () (tptp.k2_zfmisc_1 @t3 @t3)) % 0.36/0.80 (define @t73 () (tptp.m1_relset_1 @t2 @t72 @t3)) % 0.36/0.80 (define @t74 () (tptp.v1_funct_2 @t2 @t72 @t3)) % 0.36/0.80 (define @t75 () (tptp.v1_funct_1 @t2)) % 0.36/0.80 (define @t76 () (tptp.m1_relset_1 @t1 @t72 @t3)) % 0.36/0.80 (define @t77 () (tptp.v1_funct_2 @t1 @t72 @t3)) % 0.36/0.80 (define @t78 () (tptp.v1_funct_1 @t1)) % 0.36/0.80 (define @t79 () (and @t78 @t77 @t76 @t75 @t74 @t73)) % 0.36/0.80 (define @t80 () (tptp.k15_filter_2 @t3 @t1)) % 0.36/0.80 (define @t81 () (tptp.m1_filter_2 @t80 @t55)) % 0.36/0.80 (define @t82 () (and @t19 @t17 @t15 @t11)) % 0.36/0.80 (define @t83 () (forall @t29 (=> @t82 @t81))) % 0.36/0.80 (define @t84 () (tptp.v3_lattices @t55)) % 0.36/0.80 (define @t85 () (and @t84 (tptp.l3_lattices @t55))) % 0.36/0.80 (define @t86 () (forall @t22 (=> @t15 @t85))) % 0.36/0.80 (define @t87 () (tptp.u1_struct_0 @t55)) % 0.36/0.80 (define @t88 () (tptp.m1_subset_1 @t56 @t87)) % 0.36/0.80 (define @t89 () (and @t19 @t17 @t15 @t57)) % 0.36/0.80 (define @t90 () (forall @t29 (=> @t89 @t88))) % 0.36/0.80 (define @t91 () (tptp.k7_lattices @t3 @t1)) % 0.36/0.80 (define @t92 () (tptp.l1_struct_0 @t3)) % 0.36/0.80 (define @t93 () (tptp.l1_lattices @t3)) % 0.36/0.80 (define @t94 () (tptp.l2_lattices @t3)) % 0.36/0.80 (define @t95 () (tptp.v1_xboole_0 @t1)) % 0.36/0.80 (define @t96 () (not @t95)) % 0.36/0.80 (define @t97 () (tptp.m1_filter_0 @t1 @t3)) % 0.36/0.80 (define @t98 () (tptp.m2_lattice4 @t1 @t3)) % 0.36/0.80 (define @t99 () (and @t96 @t98)) % 0.36/0.80 (define @t100 () (tptp.m1_filter_2 @t1 @t3)) % 0.36/0.80 (define @t101 () (forall @t13 (=> @t11 @t99))) % 0.36/0.80 (define @t102 () (=> @t60 @t101)) % 0.36/0.80 (define @t103 () (forall @t22 @t102)) % 0.36/0.80 (define @t104 () (forall @t13 (=> @t98 @t65))) % 0.36/0.80 (define @t105 () (=> @t60 @t104)) % 0.36/0.80 (define @t106 () (forall @t22 @t105)) % 0.36/0.80 (define @t107 () (tptp.m2_relset_1 @t2 @t3 @t1)) % 0.36/0.80 (define @t108 () (tptp.k2_zfmisc_1 @t5 @t5)) % 0.36/0.80 (define @t109 () (tptp.v1_funct_2 @t25 @t108 @t5)) % 0.36/0.80 (define @t110 () (tptp.v1_funct_1 @t25)) % 0.36/0.80 (define @t111 () (tptp.v1_funct_2 @t26 @t108 @t5)) % 0.36/0.80 (define @t112 () (tptp.v1_funct_1 @t26)) % 0.36/0.80 (define @t113 () (tptp.m1_relset_1 @t2 @t3 @t1)) % 0.36/0.80 (define @t114 () (not (tptp.v3_struct_0 @t55))) % 0.36/0.80 (define @t115 () (and @t114 @t84)) % 0.36/0.80 (define @t116 () (and @t19 @t15)) % 0.36/0.80 (define @t117 () (forall @t22 (=> @t116 @t115))) % 0.36/0.80 (define @t118 () (and @t19 @t92)) % 0.36/0.80 (define @t119 () (tptp.k1_zfmisc_1 @t3)) % 0.36/0.80 (define @t120 () (tptp.v1_partfun1 @t26 @t108 @t5)) % 0.36/0.80 (define @t121 () (tptp.v1_relat_1 @t26)) % 0.36/0.80 (define @t122 () (not @t31)) % 0.36/0.80 (define @t123 () (tptp.v10_lattices @t55)) % 0.36/0.80 (define @t124 () (tptp.v9_lattices @t55)) % 0.36/0.80 (define @t125 () (tptp.v8_lattices @t55)) % 0.36/0.80 (define @t126 () (tptp.v7_lattices @t55)) % 0.36/0.80 (define @t127 () (tptp.v6_lattices @t55)) % 0.36/0.80 (define @t128 () (tptp.v5_lattices @t55)) % 0.36/0.80 (define @t129 () (tptp.v4_lattices @t55)) % 0.36/0.80 (define @t130 () (and @t114 @t84 @t129 @t128 @t127 @t126 @t125 @t124 @t123 (tptp.v11_lattices @t55) (tptp.v12_lattices @t55) (tptp.v13_lattices @t55) (tptp.v14_lattices @t55) (tptp.v15_lattices @t55) (tptp.v16_lattices @t55) (tptp.v17_lattices @t55))) % 0.36/0.80 (define @t131 () (forall @t22 (=> @t20 @t130))) % 0.36/0.80 (define @t132 () (tptp.v1_partfun1 @t25 @t108 @t5)) % 0.36/0.80 (define @t133 () (tptp.v1_relat_1 @t25)) % 0.36/0.80 (define @t134 () (@var "F" $$unsorted)) % 0.36/0.80 (define @t135 () (@var "E" $$unsorted)) % 0.36/0.80 (define @t136 () (@var "D" $$unsorted)) % 0.36/0.80 (define @t137 () (tptp.k7_lattices @t55 @t56)) % 0.36/0.80 (define @t138 () (=> @t57 (= @t137 @t91))) % 0.36/0.80 (define @t139 () (forall @t13 @t138)) % 0.36/0.80 (define @t140 () (=> @t20 @t139)) % 0.36/0.80 (define @t141 () (forall @t22 @t140)) % 0.36/0.80 (define @t142 () (tptp.m1_subset_1 @t1 @t119)) % 0.36/0.80 (define @t143 () (=> @t82 (= @t80 @t63))) % 0.36/0.80 (define @t144 () (forall @t29 @t143)) % 0.36/0.80 (define @t145 () (forall @t13 (= @t100 @t97))) % 0.36/0.80 (define @t146 () (=> @t60 @t145)) % 0.36/0.80 (define @t147 () (forall @t22 @t146)) % 0.36/0.80 (define @t148 () (tptp.m1_subset_1 @t3 @t1)) % 0.36/0.80 (define @t149 () (= @t9 (tptp.v1_filter_0 @t80 @t55))) % 0.36/0.80 (define @t150 () (forall @t13 (=> @t11 @t149))) % 0.36/0.80 (define @t151 () (=> @t60 @t150)) % 0.36/0.80 (define @t152 () (forall @t22 @t151)) % 0.36/0.80 (define @t153 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t2))) % 0.36/0.80 (define @t154 () (tptp.v1_filter_0 @t1 @t3)) % 0.36/0.80 (define @t155 () (=> @t154 @t8)) % 0.36/0.80 (define @t156 () (=> @t97 @t155)) % 0.36/0.80 (define @t157 () (forall @t13 @t156)) % 0.36/0.80 (define @t158 () (=> @t20 @t157)) % 0.36/0.80 (define @t159 () (forall @t22 @t158)) % 0.36/0.80 (define @t160 () (@var "BOUND_VARIABLE_8581" $$unsorted)) % 0.36/0.80 (define @t161 () (@var "BOUND_VARIABLE_8583" $$unsorted)) % 0.36/0.80 (define @t162 () (= (tptp.r2_hidden @t161 @t160) (not (tptp.r2_hidden (tptp.k7_lattices @t3 @t161) @t160)))) % 0.36/0.80 (define @t163 () (not (tptp.m1_subset_1 @t161 @t5))) % 0.36/0.80 (define @t164 () (not (tptp.v1_filter_0 @t160 @t3))) % 0.36/0.80 (define @t165 () (not (tptp.m1_filter_0 @t160 @t3))) % 0.36/0.80 (define @t166 () (not @t15)) % 0.36/0.80 (define @t167 () (not @t16)) % 0.36/0.80 (define @t168 () (not @t17)) % 0.36/0.80 (define @t169 () (or @t165 @t164 @t163 @t162)) % 0.36/0.80 (define @t170 () (or @t18 @t168 @t167 @t166 @t169)) % 0.36/0.80 (define @t171 () (forall (@list @t3 @t160 @t161) @t170)) % 0.36/0.80 (define @t172 () (@list @t160 @t161)) % 0.36/0.80 (define @t173 () (forall @t172 @t170)) % 0.36/0.80 (define @t174 () (forall @t172 @t169)) % 0.36/0.80 (define @t175 () (@var "BOUND_VARIABLE_8562" $$unsorted)) % 0.36/0.80 (define @t176 () (or @t18 @t168 @t167 @t166 @t174)) % 0.36/0.80 (define @t177 () (= (tptp.r2_hidden @t175 @t1) (not (tptp.r2_hidden (tptp.k7_lattices @t3 @t175) @t1)))) % 0.36/0.80 (define @t178 () (not (tptp.m1_subset_1 @t175 @t5))) % 0.36/0.80 (define @t179 () (not @t154)) % 0.36/0.80 (define @t180 () (not @t97)) % 0.36/0.80 (define @t181 () (or @t180 @t179 @t178 @t177)) % 0.36/0.80 (define @t182 () (@list @t1 @t175)) % 0.36/0.80 (define @t183 () (forall @t182 @t181)) % 0.36/0.80 (define @t184 () (or @t18 @t168 @t167 @t166 @t183)) % 0.36/0.80 (define @t185 () (or @t18 @t168 @t167 @t166)) % 0.36/0.80 (define @t186 () (not @t19)) % 0.36/0.80 (define @t187 () (or @t186 @t168 @t167 @t166)) % 0.36/0.80 (define @t188 () (not @t20)) % 0.36/0.80 (define @t189 () (or @t178 @t177)) % 0.36/0.80 (define @t190 () (or @t180 @t179 @t189)) % 0.36/0.80 (define @t191 () (forall @t182 @t190)) % 0.36/0.80 (define @t192 () (@list @t175)) % 0.36/0.80 (define @t193 () (forall @t192 @t190)) % 0.36/0.80 (define @t194 () (forall @t192 @t189)) % 0.36/0.80 (define @t195 () (@list @t2)) % 0.36/0.80 (define @t196 () (or @t180 @t179 @t194)) % 0.36/0.80 (define @t197 () (forall @t7 (or (not @t6) @t4))) % 0.36/0.80 (define @t198 () (or @t180 @t179 @t197)) % 0.36/0.80 (define @t199 () (=> @t154 @t197)) % 0.36/0.80 (define @t200 () (@var "BOUND_VARIABLE_7924" $$unsorted)) % 0.36/0.80 (define @t201 () (@var "BOUND_VARIABLE_7926" $$unsorted)) % 0.36/0.80 (define @t202 () (= (tptp.r2_hidden @t201 @t200) (not (tptp.r2_hidden (tptp.k7_lattices @t3 @t201) @t200)))) % 0.36/0.80 (define @t203 () (not (tptp.m1_subset_1 @t201 @t5))) % 0.36/0.80 (define @t204 () (not (tptp.r2_filter_2 @t3 @t200))) % 0.36/0.80 (define @t205 () (not (tptp.m2_filter_2 @t200 @t3))) % 0.36/0.80 (define @t206 () (or @t18 @t168 @t167 @t166 @t205 @t204 @t203 @t202)) % 0.36/0.80 (define @t207 () (@list @t3 @t200 @t201)) % 0.36/0.80 (define @t208 () (forall @t207 @t206)) % 0.36/0.80 (define @t209 () (@quantifiers_skolemize @t208 2)) % 0.36/0.80 (define @t210 () (@quantifiers_skolemize @t208 0)) % 0.36/0.80 (define @t211 () (tptp.k5_filter_2 @t210 @t209)) % 0.36/0.80 (define @t212 () (@quantifiers_skolemize @t208 1)) % 0.36/0.80 (define @t213 () (tptp.k1_lattice2 @t210)) % 0.36/0.80 (define @t214 () (@var "BOUND_VARIABLE_8534" $$unsorted)) % 0.36/0.80 (define @t215 () (= (tptp.r2_filter_2 @t3 @t214) (tptp.v1_filter_0 (tptp.k15_filter_2 @t3 @t214) @t55))) % 0.36/0.80 (define @t216 () (not (tptp.m2_filter_2 @t214 @t3))) % 0.36/0.80 (define @t217 () (or @t216 @t215)) % 0.36/0.80 (define @t218 () (or @t18 @t168 @t166 @t217)) % 0.36/0.80 (define @t219 () (forall (@list @t3 @t214) @t218)) % 0.36/0.80 (define @t220 () (@list @t214)) % 0.36/0.80 (define @t221 () (forall @t220 @t218)) % 0.36/0.80 (define @t222 () (forall @t220 @t217)) % 0.36/0.80 (define @t223 () (@list @t1)) % 0.36/0.80 (define @t224 () (or @t18 @t168 @t166 @t222)) % 0.36/0.80 (define @t225 () (not @t11)) % 0.36/0.80 (define @t226 () (forall @t13 (or @t225 @t149))) % 0.36/0.80 (define @t227 () (or @t18 @t168 @t166 @t226)) % 0.36/0.80 (define @t228 () (or @t18 @t168 @t166)) % 0.36/0.80 (define @t229 () (or @t186 @t168 @t166)) % 0.36/0.80 (define @t230 () (not @t60)) % 0.36/0.80 (define @t231 () (@list @t210 @t212)) % 0.36/0.80 (define @t232 () (or @t205 @t204 @t203 @t202)) % 0.36/0.80 (define @t233 () (or @t18 @t168 @t167 @t166 @t232)) % 0.36/0.80 (define @t234 () (forall @t207 @t233)) % 0.36/0.80 (define @t235 () (@list @t200 @t201)) % 0.36/0.80 (define @t236 () (forall @t235 @t233)) % 0.36/0.80 (define @t237 () (forall @t235 @t232)) % 0.36/0.80 (define @t238 () (@var "BOUND_VARIABLE_7900" $$unsorted)) % 0.36/0.80 (define @t239 () (or @t18 @t168 @t167 @t166 @t237)) % 0.36/0.80 (define @t240 () (= (tptp.r2_hidden @t238 @t1) (not (tptp.r2_hidden (tptp.k7_lattices @t3 @t238) @t1)))) % 0.36/0.80 (define @t241 () (not (tptp.m1_subset_1 @t238 @t5))) % 0.36/0.80 (define @t242 () (not @t9)) % 0.36/0.80 (define @t243 () (or @t225 @t242 @t241 @t240)) % 0.36/0.80 (define @t244 () (@list @t1 @t238)) % 0.36/0.80 (define @t245 () (forall @t244 @t243)) % 0.36/0.80 (define @t246 () (or @t18 @t168 @t167 @t166 @t245)) % 0.36/0.80 (define @t247 () (or @t241 @t240)) % 0.36/0.80 (define @t248 () (or @t225 @t242 @t247)) % 0.36/0.80 (define @t249 () (forall @t244 @t248)) % 0.36/0.80 (define @t250 () (@list @t238)) % 0.36/0.80 (define @t251 () (forall @t250 @t248)) % 0.36/0.80 (define @t252 () (forall @t250 @t247)) % 0.36/0.80 (define @t253 () (or @t225 @t242 @t252)) % 0.36/0.80 (define @t254 () (or @t225 @t242 @t197)) % 0.36/0.80 (define @t255 () (=> @t9 @t197)) % 0.36/0.80 (define @t256 () (tptp.m2_filter_2 @t212 @t210)) % 0.36/0.80 (define @t257 () (tptp.k7_lattices @t210 @t209)) % 0.36/0.80 (define @t258 () (tptp.r2_hidden @t257 @t212)) % 0.36/0.80 (define @t259 () (not @t258)) % 0.36/0.80 (define @t260 () (tptp.r2_hidden @t209 @t212)) % 0.36/0.80 (define @t261 () (= @t260 @t259)) % 0.36/0.80 (define @t262 () (tptp.u1_struct_0 @t210)) % 0.36/0.80 (define @t263 () (tptp.m1_subset_1 @t209 @t262)) % 0.36/0.80 (define @t264 () (not @t263)) % 0.36/0.80 (define @t265 () (tptp.r2_filter_2 @t210 @t212)) % 0.36/0.80 (define @t266 () (not @t265)) % 0.36/0.80 (define @t267 () (not @t256)) % 0.36/0.80 (define @t268 () (tptp.l3_lattices @t210)) % 0.36/0.80 (define @t269 () (not @t268)) % 0.36/0.80 (define @t270 () (tptp.v17_lattices @t210)) % 0.36/0.80 (define @t271 () (not @t270)) % 0.36/0.80 (define @t272 () (tptp.v10_lattices @t210)) % 0.36/0.80 (define @t273 () (not @t272)) % 0.36/0.80 (define @t274 () (tptp.v3_struct_0 @t210)) % 0.36/0.80 (define @t275 () (or @t274 @t273 @t271 @t269 @t267 @t266 @t264 @t261)) % 0.36/0.80 (define @t276 () (@list true)) % 0.36/0.80 (define @t277 () (@list @t275)) % 0.36/0.80 (define @t278 () (tptp.k15_filter_2 @t210 @t212)) % 0.36/0.80 (define @t279 () (tptp.v1_filter_0 @t278 @t213)) % 0.36/0.80 (define @t280 () (= @t265 @t279)) % 0.36/0.80 (define @t281 () (or @t274 @t273 @t269 @t267 @t280)) % 0.36/0.80 (define @t282 () (@list true false false false false)) % 0.36/0.80 (define @t283 () (@list false false)) % 0.36/0.80 (define @t284 () (= @t63 @t80)) % 0.36/0.80 (define @t285 () (or @t18 @t168 @t166 @t225 @t284)) % 0.36/0.80 (define @t286 () (or @t18 @t168 @t166 @t225)) % 0.36/0.80 (define @t287 () (or @t186 @t168 @t166 @t225)) % 0.36/0.80 (define @t288 () (not @t82)) % 0.36/0.80 (define @t289 () (tptp.k7_filter_2 @t210 @t212)) % 0.36/0.80 (define @t290 () (or @t274 @t273 @t269 @t267 (= @t289 @t278))) % 0.36/0.80 (define @t291 () (forall @t29 @t285)) % 0.36/0.80 (define @t292 () (= @t278 @t289)) % 0.36/0.80 (define @t293 () (or @t274 @t273 @t269 @t267 @t292)) % 0.36/0.80 (define @t294 () (@list false)) % 0.36/0.80 (define @t295 () (@var "BOUND_VARIABLE_8061" $$unsorted)) % 0.36/0.80 (define @t296 () (= @t295 (tptp.k7_filter_2 @t3 @t295))) % 0.36/0.80 (define @t297 () (not (tptp.m1_subset_1 @t295 @t64))) % 0.36/0.80 (define @t298 () (or @t297 @t296)) % 0.36/0.80 (define @t299 () (or @t18 @t168 @t166 @t298)) % 0.36/0.80 (define @t300 () (forall (@list @t3 @t295) @t299)) % 0.36/0.80 (define @t301 () (@list @t295)) % 0.36/0.80 (define @t302 () (forall @t301 @t299)) % 0.36/0.80 (define @t303 () (forall @t301 @t298)) % 0.36/0.80 (define @t304 () (or @t18 @t168 @t166 @t303)) % 0.36/0.80 (define @t305 () (= @t1 @t63)) % 0.36/0.80 (define @t306 () (forall @t13 (or (not @t65) @t305))) % 0.36/0.80 (define @t307 () (or @t18 @t168 @t166 @t306)) % 0.36/0.80 (define @t308 () (@var "BOUND_VARIABLE_8191" $$unsorted)) % 0.36/0.80 (define @t309 () (tptp.m1_subset_1 @t308 @t64)) % 0.36/0.80 (define @t310 () (not (tptp.m2_lattice4 @t308 @t3))) % 0.36/0.80 (define @t311 () (or @t310 @t309)) % 0.36/0.80 (define @t312 () (or @t18 @t168 @t166 @t311)) % 0.36/0.80 (define @t313 () (forall (@list @t3 @t308) @t312)) % 0.36/0.80 (define @t314 () (@list @t308)) % 0.36/0.80 (define @t315 () (forall @t314 @t312)) % 0.36/0.80 (define @t316 () (forall @t314 @t311)) % 0.36/0.80 (define @t317 () (or @t18 @t168 @t166 @t316)) % 0.36/0.80 (define @t318 () (forall @t13 (or (not @t98) @t65))) % 0.36/0.80 (define @t319 () (or @t18 @t168 @t166 @t318)) % 0.36/0.80 (define @t320 () (@var "BOUND_VARIABLE_8169" $$unsorted)) % 0.36/0.80 (define @t321 () (and (not (tptp.v1_xboole_0 @t320)) (tptp.m2_lattice4 @t320 @t3))) % 0.36/0.80 (define @t322 () (not (tptp.m2_filter_2 @t320 @t3))) % 0.36/0.80 (define @t323 () (or @t322 @t321)) % 0.36/0.80 (define @t324 () (or @t18 @t168 @t166 @t323)) % 0.36/0.80 (define @t325 () (forall (@list @t3 @t320) @t324)) % 0.36/0.80 (define @t326 () (@list @t320)) % 0.36/0.80 (define @t327 () (forall @t326 @t324)) % 0.36/0.80 (define @t328 () (forall @t326 @t323)) % 0.36/0.80 (define @t329 () (or @t18 @t168 @t166 @t328)) % 0.36/0.80 (define @t330 () (forall @t13 (or @t225 @t99))) % 0.36/0.80 (define @t331 () (or @t18 @t168 @t166 @t330)) % 0.36/0.80 (define @t332 () (tptp.m2_lattice4 @t212 @t210)) % 0.36/0.80 (define @t333 () (and (not (tptp.v1_xboole_0 @t212)) @t332)) % 0.36/0.80 (define @t334 () (or @t274 @t273 @t269 @t267 @t333)) % 0.36/0.80 (define @t335 () (tptp.m1_subset_1 @t212 (tptp.k1_zfmisc_1 @t262))) % 0.36/0.80 (define @t336 () (not @t332)) % 0.36/0.80 (define @t337 () (or @t274 @t273 @t269 @t336 @t335)) % 0.36/0.80 (define @t338 () (= @t212 @t289)) % 0.36/0.80 (define @t339 () (not @t335)) % 0.36/0.80 (define @t340 () (or @t274 @t273 @t269 @t339 @t338)) % 0.36/0.80 (define @t341 () (tptp.v1_filter_0 @t212 @t213)) % 0.36/0.80 (define @t342 () (@var "BOUND_VARIABLE_8510" $$unsorted)) % 0.36/0.80 (define @t343 () (= (tptp.m1_filter_0 @t342 @t3) (tptp.m1_filter_2 @t342 @t3))) % 0.36/0.80 (define @t344 () (or @t18 @t168 @t166 @t343)) % 0.36/0.80 (define @t345 () (forall (@list @t3 @t342) @t344)) % 0.36/0.80 (define @t346 () (@list @t342)) % 0.36/0.80 (define @t347 () (forall @t346 @t344)) % 0.36/0.80 (define @t348 () (forall @t346 @t343)) % 0.36/0.80 (define @t349 () (or @t18 @t168 @t166 @t348)) % 0.36/0.80 (define @t350 () (forall @t13 (= @t97 @t100))) % 0.36/0.80 (define @t351 () (or @t18 @t168 @t166 @t350)) % 0.36/0.80 (define @t352 () (tptp.m1_filter_0 @t278 @t213)) % 0.36/0.80 (define @t353 () (tptp.m1_filter_2 @t278 @t213)) % 0.36/0.80 (define @t354 () (tptp.l3_lattices @t213)) % 0.36/0.80 (define @t355 () (not @t354)) % 0.36/0.80 (define @t356 () (tptp.v10_lattices @t213)) % 0.36/0.80 (define @t357 () (not @t356)) % 0.36/0.80 (define @t358 () (tptp.v3_struct_0 @t213)) % 0.36/0.80 (define @t359 () (or @t358 @t357 @t355 (= @t352 @t353))) % 0.36/0.80 (define @t360 () (= @t353 @t352)) % 0.36/0.80 (define @t361 () (or @t358 @t357 @t355 @t360)) % 0.36/0.80 (define @t362 () (@list @t210)) % 0.36/0.80 (define @t363 () (tptp.v3_lattices @t213)) % 0.36/0.80 (define @t364 () (and @t363 @t354)) % 0.36/0.80 (define @t365 () (or @t269 @t364)) % 0.36/0.80 (define @t366 () (tptp.v17_lattices @t213)) % 0.36/0.80 (define @t367 () (not @t358)) % 0.36/0.80 (define @t368 () (and @t367 @t363 (tptp.v4_lattices @t213) (tptp.v5_lattices @t213) (tptp.v6_lattices @t213) (tptp.v7_lattices @t213) (tptp.v8_lattices @t213) (tptp.v9_lattices @t213) @t356 (tptp.v11_lattices @t213) (tptp.v12_lattices @t213) (tptp.v13_lattices @t213) (tptp.v14_lattices @t213) (tptp.v15_lattices @t213) (tptp.v16_lattices @t213) @t366)) % 0.36/0.80 (define @t369 () (or @t274 @t273 @t271 @t269 @t368)) % 0.36/0.80 (define @t370 () (not @t368)) % 0.36/0.80 (define @t371 () (@list @t368)) % 0.36/0.80 (define @t372 () (and @t367 @t363)) % 0.36/0.80 (define @t373 () (or @t274 @t269 @t372)) % 0.36/0.80 (define @t374 () (or @t274 @t273 @t269 @t267 @t353)) % 0.36/0.80 (define @t375 () (tptp.m1_filter_0 @t212 @t213)) % 0.36/0.80 (define @t376 () (not @t57)) % 0.36/0.80 (define @t377 () (or @t186 @t168 @t166 @t376)) % 0.36/0.80 (define @t378 () (@list @t210 @t209)) % 0.36/0.80 (define @t379 () (tptp.m1_subset_1 @t211 (tptp.u1_struct_0 @t213))) % 0.36/0.80 (define @t380 () (or @t274 @t273 @t269 @t264 @t379)) % 0.36/0.80 (define @t381 () (tptp.k7_lattices @t213 @t211)) % 0.36/0.80 (define @t382 () (tptp.r2_hidden @t381 @t212)) % 0.36/0.80 (define @t383 () (not @t382)) % 0.36/0.80 (define @t384 () (tptp.r2_hidden @t211 @t212)) % 0.36/0.80 (define @t385 () (= @t384 @t383)) % 0.36/0.80 (define @t386 () (not @t379)) % 0.36/0.80 (define @t387 () (not @t341)) % 0.36/0.80 (define @t388 () (not @t375)) % 0.36/0.80 (define @t389 () (not @t366)) % 0.36/0.80 (define @t390 () (or @t358 @t357 @t389 @t355 @t388 @t387 @t386 @t385)) % 0.36/0.80 (define @t391 () (@var "BOUND_VARIABLE_8038" $$unsorted)) % 0.36/0.80 (define @t392 () (= @t391 (tptp.k5_filter_2 @t3 @t391))) % 0.36/0.80 (define @t393 () (not (tptp.m1_subset_1 @t391 @t5))) % 0.36/0.80 (define @t394 () (or @t393 @t392)) % 0.36/0.80 (define @t395 () (or @t18 @t168 @t166 @t394)) % 0.36/0.80 (define @t396 () (forall (@list @t3 @t391) @t395)) % 0.36/0.80 (define @t397 () (@list @t391)) % 0.36/0.80 (define @t398 () (forall @t397 @t395)) % 0.36/0.80 (define @t399 () (forall @t397 @t394)) % 0.36/0.80 (define @t400 () (or @t18 @t168 @t166 @t399)) % 0.36/0.80 (define @t401 () (= @t1 @t56)) % 0.36/0.80 (define @t402 () (forall @t13 (or @t376 @t401))) % 0.36/0.80 (define @t403 () (or @t18 @t168 @t166 @t402)) % 0.36/0.80 (define @t404 () (= @t209 @t211)) % 0.36/0.80 (define @t405 () (or @t274 @t273 @t269 @t264 @t404)) % 0.36/0.80 (define @t406 () (not @t384)) % 0.36/0.80 (define @t407 () (not @t404)) % 0.36/0.80 (define @t408 () (not @t260)) % 0.36/0.80 (define @t409 () (and @t408 @t404)) % 0.36/0.80 (define @t410 () (@var "BOUND_VARIABLE_8355" $$unsorted)) % 0.36/0.80 (define @t411 () (= (tptp.k7_lattices @t3 @t410) (tptp.k7_lattices @t55 (tptp.k5_filter_2 @t3 @t410)))) % 0.36/0.80 (define @t412 () (not (tptp.m1_subset_1 @t410 @t5))) % 0.36/0.80 (define @t413 () (or @t412 @t411)) % 0.36/0.80 (define @t414 () (or @t18 @t168 @t167 @t166 @t413)) % 0.36/0.80 (define @t415 () (forall (@list @t3 @t410) @t414)) % 0.36/0.80 (define @t416 () (@list @t410)) % 0.36/0.80 (define @t417 () (forall @t416 @t414)) % 0.36/0.80 (define @t418 () (forall @t416 @t413)) % 0.36/0.80 (define @t419 () (or @t18 @t168 @t167 @t166 @t418)) % 0.36/0.80 (define @t420 () (= @t91 @t137)) % 0.36/0.80 (define @t421 () (forall @t13 (or @t376 @t420))) % 0.36/0.80 (define @t422 () (or @t18 @t168 @t167 @t166 @t421)) % 0.36/0.80 (define @t423 () (= @t257 @t381)) % 0.36/0.80 (define @t424 () (or @t274 @t273 @t271 @t269 @t264 @t423)) % 0.36/0.80 (define @t425 () (not @t423)) % 0.36/0.80 (define @t426 () (not @t259)) % 0.36/0.80 (define @t427 () (and @t259 @t423)) % 0.36/0.80 (define @t428 () (not @t385)) % 0.36/0.80 (define @t429 () (and @t260 @t404)) % 0.36/0.80 (define @t430 () (and @t258 @t423)) % 0.36/0.80 (assume @p1 @t24) % 0.36/0.80 (assume @p2 (forall @t22 (=> @t15 (=> @t27 (= @t3 (tptp.g3_lattices @t5 @t26 @t25)))))) % 0.36/0.80 (assume @p3 (forall @t29 (=> @t28 (not (tptp.r2_hidden @t1 @t3))))) % 0.36/0.80 (assume @p4 (forall @t22 (=> @t31 @t30))) % 0.36/0.80 (assume @p5 (forall @t22 (=> @t15 (=> @t39 @t38)))) % 0.36/0.80 (assume @p6 (forall @t42 (=> @t41 (tptp.v1_relat_1 @t2)))) % 0.36/0.80 (assume @p7 (forall @t22 (=> @t45 @t44))) % 0.36/0.80 (assume @p8 (forall @t22 (=> @t15 (=> @t38 @t39)))) % 0.36/0.80 (assume @p9 (forall @t22 (=> @t15 (=> @t50 @t47)))) % 0.36/0.80 (assume @p10 (forall @t22 (=> @t15 (=> @t47 @t50)))) % 0.36/0.80 (assume @p11 (forall @t22 (=> @t15 (=> @t53 (and @t19 @t52 @t49 @t48 @t46 @t51))))) % 0.36/0.80 (assume @p12 (forall @t22 (=> @t15 (=> (and @t19 @t52 @t46 @t51) @t53)))) % 0.36/0.80 (assume @p13 (forall @t22 (=> @t15 (=> (and @t19 @t17 @t52) (and @t19 @t37 @t36 @t35 @t34 @t33 @t32 @t17 @t54))))) % 0.36/0.80 (assume @p14 (forall @t22 (=> @t15 (= @t55 (tptp.g3_lattices @t5 @t25 @t26))))) % 0.36/0.80 (assume @p15 @t62) % 0.36/0.80 (assume @p16 @t69) % 0.36/0.80 (assume @p17 (forall @t42 (=> @t79 (and @t71 (tptp.l3_lattices @t70))))) % 0.36/0.80 (assume @p18 @t83) % 0.36/0.80 (assume @p19 @t86) % 0.36/0.80 (assume @p20 true) % 0.36/0.80 (assume @p21 @t90) % 0.36/0.80 (assume @p22 (forall @t29 (=> (and @t19 @t17 @t15 @t65) (tptp.m1_subset_1 @t63 (tptp.k1_zfmisc_1 @t87))))) % 0.36/0.80 (assume @p23 (forall @t29 (=> (and @t19 @t15 @t57) (tptp.m1_subset_1 @t91 @t5)))) % 0.36/0.80 (assume @p24 (forall @t22 (=> @t93 @t92))) % 0.36/0.80 (assume @p25 (forall @t22 (=> @t94 @t92))) % 0.36/0.80 (assume @p26 (forall @t22 (=> @t15 (and @t93 @t94)))) % 0.36/0.80 (assume @p27 (forall @t22 (=> @t60 (forall @t13 (=> @t97 (and @t96 @t65)))))) % 0.36/0.80 (assume @p28 (forall @t22 (=> @t60 (forall @t13 (=> @t100 @t99))))) % 0.36/0.80 (assume @p29 @t103) % 0.36/0.80 (assume @p30 @t106) % 0.36/0.80 (assume @p31 (forall @t42 (=> @t107 @t41))) % 0.36/0.80 (assume @p32 (forall @t22 (=> @t93 (and @t110 @t109 (tptp.m2_relset_1 @t25 @t108 @t5))))) % 0.36/0.80 (assume @p33 (forall @t22 (=> @t94 (and @t112 @t111 (tptp.m2_relset_1 @t26 @t108 @t5))))) % 0.36/0.80 (assume @p34 (exists @t22 @t93)) % 0.36/0.80 (assume @p35 (exists @t22 @t92)) % 0.36/0.80 (assume @p36 (exists @t22 @t94)) % 0.36/0.80 (assume @p37 (exists @t22 @t15)) % 0.36/0.80 (assume @p38 (forall @t22 (=> @t60 (exists @t13 @t97)))) % 0.36/0.80 (assume @p39 (forall @t22 (=> @t60 (exists @t13 @t100)))) % 0.36/0.80 (assume @p40 (forall @t29 (exists @t7 @t113))) % 0.36/0.80 (assume @p41 (forall @t22 (exists @t13 (tptp.m1_subset_1 @t1 @t3)))) % 0.36/0.80 (assume @p42 (forall @t22 (=> @t60 (exists @t13 @t11)))) % 0.36/0.80 (assume @p43 (forall @t22 (=> @t60 (exists @t13 @t98)))) % 0.36/0.80 (assume @p44 (forall @t29 (exists @t7 @t107))) % 0.36/0.80 (assume @p45 (forall @t29 (=> (and @t19 @t17 @t15 @t96 @t65) (not (tptp.v1_xboole_0 @t63))))) % 0.36/0.80 (assume @p46 @t117) % 0.36/0.80 (assume @p47 (forall @t22 (=> @t118 (not (tptp.v1_xboole_0 @t5))))) % 0.36/0.80 (assume @p48 (forall @t22 (not (tptp.v1_xboole_0 @t119)))) % 0.36/0.80 (assume @p49 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.36/0.80 (assume @p50 (forall @t22 (=> (and @t19 @t37 @t94) (and @t121 @t112 @t111 (tptp.v1_binop_1 @t26 @t5) @t120)))) % 0.36/0.80 (assume @p51 (forall @t22 (=> (and @t19 @t36 @t94) (and @t121 @t112 @t111 (tptp.v2_binop_1 @t26 @t5) @t120)))) % 0.36/0.80 (assume @p52 (forall @t42 (=> (and @t122 @t78 @t77 @t76 @t75 @t74 @t73) (and (not (tptp.v3_struct_0 @t70)) @t71)))) % 0.36/0.80 (assume @p53 @t131) % 0.36/0.80 (assume @p54 (forall @t22 (=> (and @t19 @t35 @t93) (and @t133 @t110 @t109 (tptp.v1_binop_1 @t25 @t5) @t132)))) % 0.36/0.80 (assume @p55 (forall @t29 (=> (and @t122 @t96) (not (tptp.v1_xboole_0 @t40))))) % 0.36/0.80 (assume @p56 (forall @t22 (=> (and @t19 @t34 @t93) (and @t133 @t110 @t109 (tptp.v2_binop_1 @t25 @t5) @t132)))) % 0.36/0.80 (assume @p57 (forall @t22 (=> @t60 (and @t114 @t84 @t129 @t128 @t127 @t126 @t125 @t124 @t123)))) % 0.36/0.80 (assume @p58 (forall @t42 (=> @t79 (forall (@list @t136 @t135 @t134) (=> (= @t70 (tptp.g3_lattices @t136 @t135 @t134)) (and (= @t3 @t136) (= @t1 @t135) (= @t2 @t134))))))) % 0.36/0.80 (assume @p59 @t141) % 0.36/0.80 (assume @p60 (exists @t22 (and @t15 @t19 @t27 @t37 @t36 @t35 @t34 @t33 @t32 @t17 @t52 @t54 @t49 @t48))) % 0.36/0.80 (assume @p61 (exists @t22 (and @t15 @t19 @t27 @t37 @t36 @t35 @t34 @t33 @t32 @t17 @t49 @t48 @t46))) % 0.36/0.80 (assume @p62 (exists @t22 (and @t15 @t19 @t27 @t37 @t36 @t35 @t34 @t33 @t32 @t17 @t49 @t48 @t46 @t51))) % 0.36/0.80 (assume @p63 (exists @t22 (and @t15 @t19 @t27 @t37 @t36 @t35 @t34 @t33 @t32 @t17 @t52 @t49 @t48 @t46 @t51 @t16))) % 0.36/0.80 (assume @p64 (exists @t22 (and @t43 @t30))) % 0.36/0.80 (assume @p65 (forall @t22 (=> @t60 (exists @t13 (and @t98 @t96))))) % 0.36/0.80 (assume @p66 (forall @t22 (=> @t122 (exists @t13 (and @t142 @t96))))) % 0.36/0.80 (assume @p67 (exists @t22 @t31)) % 0.36/0.80 (assume @p68 (exists @t22 @t45)) % 0.36/0.80 (assume @p69 (forall @t22 (exists @t13 (and @t142 @t95)))) % 0.36/0.80 (assume @p70 (exists @t22 @t122)) % 0.36/0.80 (assume @p71 (exists @t22 @t44)) % 0.36/0.80 (assume @p72 (exists @t22 (and @t15 @t27))) % 0.36/0.80 (assume @p73 (exists @t22 (and @t92 @t19))) % 0.36/0.80 (assume @p74 (forall @t22 (=> @t118 (exists @t13 (and @t65 @t96))))) % 0.36/0.80 (assume @p75 (exists @t22 (and @t15 @t19 @t27))) % 0.36/0.80 (assume @p76 (exists @t22 (and @t15 @t19 @t27 @t37 @t36 @t35 @t34 @t33 @t32 @t17))) % 0.36/0.80 (assume @p77 @t144) % 0.36/0.80 (assume @p78 @t147) % 0.36/0.80 (assume @p79 (forall @t42 (= @t107 @t113))) % 0.36/0.80 (assume @p80 (forall @t29 (tptp.r1_tarski @t3 @t3))) % 0.36/0.80 (assume @p81 (forall @t29 (=> @t28 @t148))) % 0.36/0.80 (assume @p82 (forall @t29 (=> @t148 (or @t95 @t28)))) % 0.36/0.80 (assume @p83 @t152) % 0.36/0.80 (assume @p84 (forall @t29 (= (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t3 @t1)))) % 0.36/0.80 (assume @p85 (forall @t42 (=> (and @t28 @t153) (tptp.m1_subset_1 @t3 @t2)))) % 0.36/0.80 (assume @p86 @t159) % 0.36/0.80 (assume @p87 (forall @t42 (not (and @t28 @t153 (tptp.v1_xboole_0 @t2))))) % 0.36/0.80 (assume @p88 (forall @t22 (=> @t31 (= @t3 tptp.k1_xboole_0)))) % 0.36/0.80 (assume @p89 (forall @t29 (not (and @t28 @t95)))) % 0.36/0.80 (assume @p90 (forall @t29 (not (and @t31 (not (= @t3 @t1)) @t95)))) % 0.36/0.80 (step @p91 :rule aci_norm :args ((= @t170 (or @t18 @t168 @t167 @t166 @t165 @t164 @t163 @t162)))) % 0.36/0.80 (step @p92 :rule cong :premises (@p91) :args (@t171)) % 0.36/0.80 (step @p93 :rule quant-merge-prenex :args ((= (forall @t22 @t173) @t171))) % 0.36/0.80 (step @p94 :rule alpha_equiv :args (@t174 (@list @t160 @t161) (@list @t1 @t175))) % 0.36/0.80 (step @p95 :rule refl :args (@t166)) % 0.36/0.80 (step @p96 :rule refl :args (@t167)) % 0.36/0.80 (step @p97 :rule refl :args (@t168)) % 0.36/0.80 (step @p98 :rule refl :args (@t18)) % 0.36/0.80 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96 @p95 @p94) :args (@t176)) % 0.36/0.80 (step @p100 :rule quant-miniscope-or :args ((= @t173 @t176))) % 0.36/0.80 (step @p101 :rule trans :premises (@p100 @p99)) % 0.36/0.80 (step @p102 :rule symm :premises (@p101)) % 0.36/0.80 (step @p103 :rule cong :premises (@p102) :args ((forall @t22 @t184))) % 0.36/0.80 (step @p104 :rule trans :premises (@p103 @p93)) % 0.36/0.80 (step @p105 :rule trans :premises (@p104 @p92)) % 0.36/0.80 (step @p106 :rule aci_norm :args ((= (or @t185 @t183) @t184))) % 0.36/0.80 (step @p107 :rule refl :args (@t183)) % 0.36/0.80 (step @p108 :rule bool-double-not-elim :args (@t18)) % 0.36/0.80 (step @p109 :rule nary_cong :premises (@p108 @p97 @p96 @p95) :args (@t187)) % 0.36/0.80 (step @p110 :rule aci_norm :args ((= (or @t186 (or @t168 (or @t167 @t166))) @t187))) % 0.36/0.80 (step @p111 :rule trans :premises (@p110 @p109)) % 0.36/0.80 (step @p112 :rule bool-and-de-morgan :args (@t16 @t15 true)) % 0.36/0.80 (step @p113 :rule nary_cong :premises (@p97 @p112) :args ((or @t168 (not (and @t16 @t15))))) % 0.36/0.80 (step @p114 :rule bool-and-de-morgan :args (@t17 @t16 (and @t15))) % 0.36/0.80 (step @p115 :rule trans :premises (@p114 @p113)) % 0.36/0.80 (step @p116 :rule refl :args (@t186)) % 0.36/0.80 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or @t186 (not (and @t17 @t16 @t15))))) % 0.36/0.80 (step @p118 :rule bool-and-de-morgan :args (@t19 @t17 (and @t16 @t15))) % 0.36/0.80 (step @p119 :rule trans :premises (@p118 @p117)) % 0.36/0.80 (step @p120 :rule trans :premises (@p119 @p111)) % 0.36/0.80 (step @p121 :rule nary_cong :premises (@p120 @p107) :args ((or @t188 @t183))) % 0.36/0.80 (step @p122 :rule trans :premises (@p121 @p106)) % 0.36/0.80 (step @p123 :rule bool-impl-elim :args (@t20 @t183)) % 0.36/0.80 (step @p124 :rule trans :premises (@p123 @p122)) % 0.36/0.80 (step @p125 :rule cong :premises (@p124) :args ((forall @t22 (=> @t20 @t183)))) % 0.36/0.80 (step @p126 :rule trans :premises (@p125 @p105)) % 0.36/0.80 (step @p127 :rule aci_norm :args ((= @t190 @t181))) % 0.36/0.80 (step @p128 :rule cong :premises (@p127) :args (@t191)) % 0.36/0.80 (step @p129 :rule quant-merge-prenex :args ((= (forall @t13 @t193) @t191))) % 0.36/0.80 (step @p130 :rule alpha_equiv :args (@t194 (@list @t175) @t195)) % 0.36/0.80 (step @p131 :rule refl :args (@t179)) % 0.36/0.80 (step @p132 :rule refl :args (@t180)) % 0.36/0.80 (step @p133 :rule nary_cong :premises (@p132 @p131 @p130) :args (@t196)) % 0.36/0.80 (step @p134 :rule quant-miniscope-or :args ((= @t193 @t196))) % 0.36/0.80 (step @p135 :rule trans :premises (@p134 @p133)) % 0.36/0.80 (step @p136 :rule symm :premises (@p135)) % 0.36/0.80 (step @p137 :rule cong :premises (@p136) :args ((forall @t13 @t198))) % 0.36/0.80 (step @p138 :rule trans :premises (@p137 @p129)) % 0.36/0.80 (step @p139 :rule trans :premises (@p138 @p128)) % 0.36/0.80 (step @p140 :rule aci_norm :args ((= (or @t180 (or @t179 @t197)) @t198))) % 0.36/0.80 (step @p141 :rule bool-impl-elim :args (@t154 @t197)) % 0.36/0.80 (step @p142 :rule nary_cong :premises (@p132 @p141) :args ((or @t180 @t199))) % 0.36/0.80 (step @p143 :rule trans :premises (@p142 @p140)) % 0.36/0.80 (step @p144 :rule bool-impl-elim :args (@t97 @t199)) % 0.36/0.80 (step @p145 :rule trans :premises (@p144 @p143)) % 0.36/0.80 (step @p146 :rule cong :premises (@p145) :args ((forall @t13 (=> @t97 @t199)))) % 0.36/0.80 (step @p147 :rule trans :premises (@p146 @p139)) % 0.36/0.80 (step @p148 :rule bool-impl-elim :args (@t6 @t4)) % 0.36/0.80 (step @p149 :rule cong :premises (@p148) :args (@t8)) % 0.36/0.80 (step @p150 :rule refl :args (@t154)) % 0.36/0.80 (step @p151 :rule cong :premises (@p150 @p149) :args (@t155)) % 0.36/0.80 (step @p152 :rule refl :args (@t97)) % 0.36/0.80 (step @p153 :rule cong :premises (@p152 @p151) :args (@t156)) % 0.36/0.80 (step @p154 :rule cong :premises (@p153) :args (@t157)) % 0.36/0.80 (step @p155 :rule trans :premises (@p154 @p147)) % 0.36/0.80 (step @p156 :rule refl :args (@t20)) % 0.36/0.80 (step @p157 :rule cong :premises (@p156 @p155) :args (@t158)) % 0.36/0.80 (step @p158 :rule cong :premises (@p157) :args (@t159)) % 0.36/0.80 (step @p159 :rule trans :premises (@p158 @p126)) % 0.36/0.80 (step @p160 :rule eq_resolve :premises (@p86 @p159)) % 0.36/0.80 (step @p161 :rule instantiate :premises (@p160) :args ((@list @t213 @t212 @t211))) % 0.36/0.80 (step @p162 :rule aci_norm :args ((= @t218 (or @t18 @t168 @t166 @t216 @t215)))) % 0.36/0.80 (step @p163 :rule cong :premises (@p162) :args (@t219)) % 0.36/0.80 (step @p164 :rule quant-merge-prenex :args ((= (forall @t22 @t221) @t219))) % 0.36/0.80 (step @p165 :rule alpha_equiv :args (@t222 (@list @t214) @t223)) % 0.36/0.80 (step @p166 :rule nary_cong :premises (@p98 @p97 @p95 @p165) :args (@t224)) % 0.36/0.80 (step @p167 :rule quant-miniscope-or :args ((= @t221 @t224))) % 0.36/0.80 (step @p168 :rule trans :premises (@p167 @p166)) % 0.36/0.80 (step @p169 :rule symm :premises (@p168)) % 0.36/0.80 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(@p624 @p621)) % 0.36/0.80 (step-pop @p757 :rule scope :premises (@p625)) % 0.36/0.80 (step-pop @p758 :rule scope :premises (@p757)) % 0.36/0.80 (step @p626 :rule process_scope :premises (@p758) :args (@t406)) % 0.36/0.80 (step @p629 :rule implies_elim :premises (@p626)) % 0.36/0.80 (step @p630 :rule cnf_and_neg :args (@t409)) % 0.36/0.80 (step @p631 :rule resolution :premises (@p630 @p629) :args (true @t409)) % 0.36/0.80 (step @p632 :rule eq_resolve :premises (@p631 @p610)) % 0.36/0.80 (step @p633 :rule aci_norm :args ((= @t414 (or @t18 @t168 @t167 @t166 @t412 @t411)))) % 0.36/0.80 (step @p634 :rule cong :premises (@p633) :args (@t415)) % 0.36/0.80 (step @p635 :rule quant-merge-prenex :args ((= (forall @t22 @t417) @t415))) % 0.36/0.80 (step @p636 :rule alpha_equiv :args (@t418 (@list @t410) @t223)) % 0.36/0.80 (step @p637 :rule nary_cong :premises (@p98 @p97 @p96 @p95 @p636) :args (@t419)) % 0.36/0.80 (step @p638 :rule quant-miniscope-or :args ((= @t417 @t419))) % 0.36/0.80 (step @p639 :rule trans :premises (@p638 @p637)) % 0.36/0.80 (step @p640 :rule symm :premises (@p639)) % 0.36/0.80 (step @p641 :rule cong :premises (@p640) :args ((forall @t22 @t422))) % 0.36/0.80 (step @p642 :rule trans :premises (@p641 @p635)) % 0.36/0.80 (step @p643 :rule trans :premises (@p642 @p634)) % 0.36/0.80 (step @p644 :rule aci_norm :args ((= (or @t185 @t421) @t422))) % 0.36/0.80 (step @p645 :rule refl :args (@t421)) % 0.36/0.80 (step @p646 :rule nary_cong :premises (@p120 @p645) :args ((or @t188 @t421))) % 0.36/0.80 (step @p647 :rule trans :premises (@p646 @p644)) % 0.36/0.80 (step @p648 :rule bool-impl-elim :args (@t20 @t421)) % 0.36/0.80 (step @p649 :rule trans :premises (@p648 @p647)) % 0.36/0.80 (step @p650 :rule cong :premises (@p649) :args ((forall @t22 (=> @t20 @t421)))) % 0.36/0.80 (step @p651 :rule trans :premises (@p650 @p643)) % 0.36/0.80 (step @p652 :rule bool-impl-elim :args (@t57 @t420)) % 0.36/0.80 (step @p653 :rule cong :premises (@p652) :args ((forall @t13 (=> @t57 @t420)))) % 0.36/0.80 (step @p654 :rule eq-symm :args (@t137 @t91)) % 0.36/0.80 (step @p655 :rule cong :premises (@p591 @p654) :args (@t138)) % 0.36/0.80 (step @p656 :rule cong :premises (@p655) :args (@t139)) % 0.36/0.80 (step @p657 :rule trans :premises (@p656 @p653)) % 0.36/0.80 (step @p658 :rule cong :premises (@p156 @p657) :args (@t140)) % 0.36/0.80 (step @p659 :rule cong :premises (@p658) :args (@t141)) % 0.36/0.80 (step @p660 :rule trans :premises (@p659 @p651)) % 0.36/0.80 (step @p661 :rule eq_resolve :premises (@p59 @p660)) % 0.36/0.80 (step @p662 :rule instantiate :premises (@p661) :args (@t378)) % 0.36/0.80 (step @p663 :rule cnf_or_pos :args (@t424)) % 0.36/0.80 (step @p664 :rule reordering :premises (@p663) :args ((or @t274 @t273 @t271 @t269 @t264 @t423 (not @t424)))) % 0.36/0.80 (step @p665 :rule chain_m_resolution :premises (@p664 @p269 @p267 @p486 @p261 @p559 @p662) :args (@t423 (@list true false false false false false) (@list @t274 @t272 @t270 @t268 @t263 @t424))) % 0.36/0.80 (step @p666 :rule refl :args (@t383)) % 0.36/0.80 (step @p667 :rule refl :args (@t425)) % 0.36/0.80 (step @p668 :rule bool-double-not-elim :args (@t258)) % 0.36/0.80 (step @p669 :rule nary_cong :premises (@p668 @p667 @p666) :args ((or @t426 @t425 @t383))) % 0.36/0.80 (assume-push @p759 @t259) % 0.36/0.80 (assume-push @p760 @t423) % 0.36/0.80 (assume-push @p761 @t259) % 0.36/0.80 (assume-push @p762 @t423) % 0.36/0.80 (step @p674 :rule false_intro :premises (@p759)) % 0.36/0.80 (step @p616 :rule refl :args (@t212)) % 0.36/0.80 (step @p675 :rule symm :premises (@p665)) % 0.36/0.80 (step @p676 :rule cong :premises (@p675 @p616) :args (@t382)) % 0.36/0.80 (step @p677 :rule trans :premises (@p676 @p674)) % 0.36/0.80 (step @p678 :rule false_elim :premises (@p677)) % 0.36/0.80 (step-pop @p763 :rule scope :premises (@p678)) % 0.36/0.80 (step-pop @p764 :rule scope :premises (@p763)) % 0.36/0.80 (step @p679 :rule process_scope :premises (@p764) :args (@t383)) % 0.36/0.80 (step @p682 :rule and_intro :premises (@p759 @p665)) % 0.36/0.80 (step @p683 :rule modus_ponens :premises (@p682 @p679)) % 0.36/0.80 (step-pop @p765 :rule scope :premises (@p683)) % 0.36/0.80 (step-pop @p766 :rule scope :premises (@p765)) % 0.36/0.80 (step @p684 :rule process_scope :premises (@p766) :args (@t383)) % 0.36/0.80 (step @p687 :rule implies_elim :premises (@p684)) % 0.36/0.80 (step @p688 :rule cnf_and_neg :args (@t427)) % 0.36/0.80 (step @p689 :rule resolution :premises (@p688 @p687) :args (true @t427)) % 0.36/0.80 (step @p690 :rule eq_resolve :premises (@p689 @p669)) % 0.36/0.80 (step @p691 :rule bool-double-not-elim :args (@t382)) % 0.36/0.80 (step @p692 :rule refl :args (@t384)) % 0.36/0.80 (step @p693 :rule refl :args (@t428)) % 0.36/0.80 (step @p694 :rule nary_cong :premises (@p693 @p692 @p691) :args ((or @t428 @t384 (not @t383)))) % 0.36/0.80 (step @p695 :rule cnf_equiv_pos2 :args (@t385)) % 0.36/0.80 (step @p696 :rule eq_resolve :premises (@p695 @p694)) % 0.36/0.80 (step @p697 :rule reordering :premises (@p696) :args ((or @t384 @t382 @t428))) % 0.36/0.80 (step @p698 :rule chain_m_resolution :premises (@p697 @p568 @p690 @p665 @p632 @p602 @p606 @p604) :args (@t260 (@list false true false true false true true) (@list @t385 @t382 @t423 @t384 @t404 @t258 @t261))) % 0.36/0.80 (assume-push @p767 @t260) % 0.36/0.80 (assume-push @p768 @t404) % 0.36/0.80 (assume-push @p769 @t260) % 0.36/0.80 (assume-push @p770 @t404) % 0.36/0.80 (step @p703 :rule true_intro :premises (@p767)) % 0.36/0.80 (step @p616 :rule refl :args (@t212)) % 0.36/0.80 (step @p617 :rule symm :premises (@p602)) % 0.36/0.80 (step @p618 :rule cong :premises (@p617 @p616) :args (@t384)) % 0.36/0.80 (step @p704 :rule trans :premises (@p618 @p703)) % 0.36/0.80 (step @p705 :rule true_elim :premises (@p704)) % 0.36/0.80 (step-pop @p771 :rule scope :premises (@p705)) % 0.36/0.80 (step-pop @p772 :rule scope :premises (@p771)) % 0.36/0.80 (step @p706 :rule process_scope :premises (@p772) :args (@t384)) % 0.36/0.80 (step @p709 :rule and_intro :premises (@p767 @p602)) % 0.36/0.80 (step @p710 :rule modus_ponens :premises (@p709 @p706)) % 0.36/0.80 (step-pop @p773 :rule scope :premises (@p710)) % 0.36/0.80 (step-pop @p774 :rule scope :premises (@p773)) % 0.36/0.80 (step @p711 :rule process_scope :premises (@p774) :args (@t384)) % 0.36/0.80 (step @p714 :rule implies_elim :premises (@p711)) % 0.36/0.80 (step @p715 :rule cnf_and_neg :args (@t429)) % 0.36/0.80 (step @p716 :rule resolution :premises (@p715 @p714) :args (true @t429)) % 0.36/0.80 (step @p717 :rule chain_m_resolution :premises (@p716 @p698 @p602) :args (@t384 @t283 (@list @t260 @t404))) % 0.36/0.80 (step @p718 :rule refl :args (@t408)) % 0.36/0.80 (step @p719 :rule refl :args (@t261)) % 0.36/0.80 (step @p720 :rule nary_cong :premises (@p719 @p718 @p668) :args ((or @t261 @t408 @t426))) % 0.36/0.80 (step @p721 :rule cnf_equiv_neg2 :args (@t261)) % 0.36/0.80 (step @p722 :rule eq_resolve :premises (@p721 @p720)) % 0.36/0.80 (step @p723 :rule reordering :premises (@p722) :args ((or @t258 @t261 @t408))) % 0.36/0.80 (step @p724 :rule chain_m_resolution :premises (@p723 @p604 @p698) :args (@t258 (@list true false) (@list @t261 @t260))) % 0.36/0.80 (assume-push @p775 @t258) % 0.36/0.80 (assume-push @p776 @t423) % 0.36/0.80 (assume-push @p777 @t258) % 0.36/0.80 (assume-push @p778 @t423) % 0.36/0.80 (step @p729 :rule true_intro :premises (@p775)) % 0.36/0.80 (step @p616 :rule refl :args (@t212)) % 0.36/0.80 (step @p675 :rule symm :premises (@p665)) % 0.36/0.80 (step @p676 :rule cong :premises (@p675 @p616) :args (@t382)) % 0.36/0.80 (step @p730 :rule trans :premises (@p676 @p729)) % 0.36/0.80 (step @p731 :rule true_elim :premises (@p730)) % 0.36/0.80 (step-pop @p779 :rule scope :premises (@p731)) % 0.36/0.80 (step-pop @p780 :rule scope :premises (@p779)) % 0.36/0.80 (step @p732 :rule process_scope :premises (@p780) :args (@t382)) % 0.36/0.80 (step @p735 :rule and_intro :premises (@p775 @p665)) % 0.36/0.80 (step @p736 :rule modus_ponens :premises (@p735 @p732)) % 0.36/0.80 (step-pop @p781 :rule scope :premises (@p736)) % 0.36/0.80 (step-pop @p782 :rule scope :premises (@p781)) % 0.36/0.80 (step @p737 :rule process_scope :premises (@p782) :args (@t382)) % 0.36/0.80 (step @p740 :rule implies_elim :premises (@p737)) % 0.36/0.80 (step @p741 :rule cnf_and_neg :args (@t430)) % 0.36/0.80 (step @p742 :rule resolution :premises (@p741 @p740) :args (true @t430)) % 0.36/0.80 (step @p743 :rule chain_m_resolution :premises (@p742 @p724 @p665) :args (@t382 @t283 (@list @t258 @t423))) % 0.36/0.80 (step @p744 :rule cnf_equiv_pos1 :args (@t385)) % 0.36/0.80 (step @p745 :rule reordering :premises (@p744) :args ((or @t383 @t406 @t428))) % 0.36/0.80 (step @p746 false :rule chain_m_resolution :premises (@p745 @p743 @p717 @p568) :args (false (@list false false false) (@list @t382 @t384 @t385))) % 0.36/0.80 ) % 0.36/0.80 % SZS output end Proof % 0.36/0.80 % cvc5 exiting %------------------------------------------------------------------------------