%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT337+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 : n017.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 08:30:22 AM UTC 2026 % Result : Theorem 0.53s 0.78s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT337+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 : n017.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 06:34:46 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.53/0.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.78 % SZS status Theorem % 0.53/0.78 % SZS output start Proof % 0.53/0.78 ( % 0.53/0.78 (declare-sort $$unsorted 0) % 0.53/0.78 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.v11_lattices (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.v16_lattices (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.m2_nat_lat (-> $$unsorted $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 0.53/0.78 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.v12_lattices (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.53/0.78 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 0.53/0.78 (declare-const tptp.r3_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.r1_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.v17_lattices (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.53/0.78 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.78 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.53/0.78 (declare-const tptp.k23_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.78 (declare-const tptp.v15_lattices (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.v14_lattices (-> $$unsorted Bool)) % 0.53/0.78 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.78 (declare-const tptp.k22_filter_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.53/0.78 (declare-const tptp.v13_lattices (-> $$unsorted Bool)) % 0.53/0.78 (define @t1 () (@var "C" $$unsorted)) % 0.53/0.78 (define @t2 () (@var "B" $$unsorted)) % 0.53/0.78 (define @t3 () (@var "A" $$unsorted)) % 0.53/0.78 (define @t4 () (tptp.k22_filter_2 @t3 @t2 @t1)) % 0.53/0.78 (define @t5 () (tptp.k23_filter_2 @t3 @t4)) % 0.53/0.78 (define @t6 () (tptp.l3_lattices @t5)) % 0.53/0.78 (define @t7 () (tptp.v10_lattices @t5)) % 0.53/0.78 (define @t8 () (not (tptp.v3_struct_0 @t5))) % 0.53/0.78 (define @t9 () (and @t8 @t7 (tptp.v17_lattices @t5) @t6)) % 0.53/0.78 (define @t10 () (tptp.r3_lattices @t3 @t2 @t1)) % 0.53/0.78 (define @t11 () (tptp.l3_lattices @t3)) % 0.53/0.78 (define @t12 () (tptp.v17_lattices @t3)) % 0.53/0.78 (define @t13 () (tptp.v10_lattices @t3)) % 0.53/0.78 (define @t14 () (tptp.v3_struct_0 @t3)) % 0.53/0.78 (define @t15 () (not @t14)) % 0.53/0.78 (define @t16 () (and @t15 @t13 @t12 @t11 @t10)) % 0.53/0.78 (define @t17 () (=> @t16 @t9)) % 0.53/0.78 (define @t18 () (tptp.u1_struct_0 @t3)) % 0.53/0.78 (define @t19 () (tptp.m1_subset_1 @t1 @t18)) % 0.53/0.78 (define @t20 () (@list @t1)) % 0.53/0.78 (define @t21 () (forall @t20 (=> @t19 @t17))) % 0.53/0.78 (define @t22 () (tptp.m1_subset_1 @t2 @t18)) % 0.53/0.78 (define @t23 () (=> @t22 @t21)) % 0.53/0.78 (define @t24 () (@list @t2)) % 0.53/0.78 (define @t25 () (forall @t24 @t23)) % 0.53/0.78 (define @t26 () (and @t15 @t13 @t11)) % 0.53/0.78 (define @t27 () (=> @t26 @t25)) % 0.53/0.78 (define @t28 () (@list @t3)) % 0.53/0.78 (define @t29 () (forall @t28 @t27)) % 0.53/0.78 (define @t30 () (not @t29)) % 0.53/0.78 (define @t31 () (tptp.u1_lattices @t3)) % 0.53/0.78 (define @t32 () (tptp.u2_lattices @t3)) % 0.53/0.78 (define @t33 () (tptp.v3_lattices @t3)) % 0.53/0.78 (define @t34 () (tptp.r2_hidden @t3 @t2)) % 0.53/0.78 (define @t35 () (@list @t3 @t2)) % 0.53/0.78 (define @t36 () (tptp.v1_funct_1 @t3)) % 0.53/0.78 (define @t37 () (tptp.v1_xboole_0 @t3)) % 0.53/0.78 (define @t38 () (tptp.v9_lattices @t3)) % 0.53/0.78 (define @t39 () (tptp.v8_lattices @t3)) % 0.53/0.78 (define @t40 () (tptp.v7_lattices @t3)) % 0.53/0.78 (define @t41 () (tptp.v6_lattices @t3)) % 0.53/0.78 (define @t42 () (tptp.v5_lattices @t3)) % 0.53/0.78 (define @t43 () (tptp.v4_lattices @t3)) % 0.53/0.78 (define @t44 () (and @t15 @t43 @t42 @t41 @t40 @t39 @t38)) % 0.53/0.78 (define @t45 () (and @t15 @t13)) % 0.53/0.78 (define @t46 () (tptp.k2_zfmisc_1 @t3 @t2)) % 0.53/0.78 (define @t47 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t46))) % 0.53/0.78 (define @t48 () (@list @t3 @t2 @t1)) % 0.53/0.78 (define @t49 () (tptp.v1_relat_1 @t3)) % 0.53/0.78 (define @t50 () (and @t49 @t36 (tptp.v2_funct_1 @t3))) % 0.53/0.78 (define @t51 () (and @t49 @t37 @t36)) % 0.53/0.78 (define @t52 () (tptp.v15_lattices @t3)) % 0.53/0.78 (define @t53 () (and @t15 @t52)) % 0.53/0.78 (define @t54 () (tptp.v14_lattices @t3)) % 0.53/0.78 (define @t55 () (tptp.v13_lattices @t3)) % 0.53/0.78 (define @t56 () (and @t15 @t55 @t54)) % 0.53/0.78 (define @t57 () (tptp.v16_lattices @t3)) % 0.53/0.78 (define @t58 () (tptp.v11_lattices @t3)) % 0.53/0.78 (define @t59 () (and @t15 @t58 @t55 @t54 @t52 @t57)) % 0.53/0.78 (define @t60 () (and @t15 @t12)) % 0.53/0.78 (define @t61 () (=> @t60 @t59)) % 0.53/0.78 (define @t62 () (forall @t28 (=> @t11 @t61))) % 0.53/0.78 (define @t63 () (and @t15 @t58 @t52 @t57)) % 0.53/0.78 (define @t64 () (=> @t63 @t60)) % 0.53/0.78 (define @t65 () (forall @t28 (=> @t11 @t64))) % 0.53/0.78 (define @t66 () (tptp.v12_lattices @t3)) % 0.53/0.78 (define @t67 () (and @t15 @t43 @t42 @t41 @t40 @t39 @t38 @t13 @t66)) % 0.53/0.78 (define @t68 () (and @t15 @t13 @t58)) % 0.53/0.78 (define @t69 () (=> @t68 @t67)) % 0.53/0.78 (define @t70 () (forall @t28 (=> @t11 @t69))) % 0.53/0.78 (define @t71 () (tptp.g3_lattices @t3 @t2 @t1)) % 0.53/0.78 (define @t72 () (tptp.v3_lattices @t71)) % 0.53/0.78 (define @t73 () (tptp.k2_zfmisc_1 @t3 @t3)) % 0.53/0.78 (define @t74 () (tptp.m1_relset_1 @t1 @t73 @t3)) % 0.53/0.78 (define @t75 () (tptp.v1_funct_2 @t1 @t73 @t3)) % 0.53/0.78 (define @t76 () (tptp.v1_funct_1 @t1)) % 0.53/0.78 (define @t77 () (tptp.m1_relset_1 @t2 @t73 @t3)) % 0.53/0.78 (define @t78 () (tptp.v1_funct_2 @t2 @t73 @t3)) % 0.53/0.78 (define @t79 () (tptp.v1_funct_1 @t2)) % 0.53/0.78 (define @t80 () (and @t79 @t78 @t77 @t76 @t75 @t74)) % 0.53/0.78 (define @t81 () (and (not (tptp.v1_xboole_0 @t4)) (tptp.m2_lattice4 @t4 @t3))) % 0.53/0.78 (define @t82 () (and @t15 @t13 @t11 @t22 @t19)) % 0.53/0.78 (define @t83 () (forall @t48 (=> @t82 @t81))) % 0.53/0.78 (define @t84 () (tptp.k23_filter_2 @t3 @t2)) % 0.53/0.78 (define @t85 () (tptp.m2_lattice4 @t2 @t3)) % 0.53/0.78 (define @t86 () (tptp.v1_xboole_0 @t2)) % 0.53/0.78 (define @t87 () (not @t86)) % 0.53/0.78 (define @t88 () (and @t15 @t13 @t11 @t87 @t85)) % 0.53/0.78 (define @t89 () (tptp.l1_struct_0 @t3)) % 0.53/0.78 (define @t90 () (tptp.l1_lattices @t3)) % 0.53/0.78 (define @t91 () (tptp.l2_lattices @t3)) % 0.53/0.78 (define @t92 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t18))) % 0.53/0.78 (define @t93 () (tptp.v10_lattices @t2)) % 0.53/0.78 (define @t94 () (not (tptp.v3_struct_0 @t2))) % 0.53/0.78 (define @t95 () (tptp.m2_nat_lat @t2 @t3)) % 0.53/0.78 (define @t96 () (tptp.m2_relset_1 @t1 @t3 @t2)) % 0.53/0.78 (define @t97 () (tptp.k2_zfmisc_1 @t18 @t18)) % 0.53/0.78 (define @t98 () (tptp.v1_funct_2 @t31 @t97 @t18)) % 0.53/0.78 (define @t99 () (tptp.v1_funct_1 @t31)) % 0.53/0.78 (define @t100 () (tptp.v1_funct_2 @t32 @t97 @t18)) % 0.53/0.78 (define @t101 () (tptp.v1_funct_1 @t32)) % 0.53/0.78 (define @t102 () (tptp.m1_relset_1 @t1 @t3 @t2)) % 0.53/0.78 (define @t103 () (and @t15 @t89)) % 0.53/0.78 (define @t104 () (tptp.k1_zfmisc_1 @t3)) % 0.53/0.78 (define @t105 () (tptp.v1_partfun1 @t32 @t97 @t18)) % 0.53/0.78 (define @t106 () (tptp.v1_relat_1 @t32)) % 0.53/0.78 (define @t107 () (not @t37)) % 0.53/0.78 (define @t108 () (tptp.v1_partfun1 @t31 @t97 @t18)) % 0.53/0.78 (define @t109 () (tptp.v1_relat_1 @t31)) % 0.53/0.78 (define @t110 () (and (not (tptp.v3_struct_0 @t84)) (tptp.v3_lattices @t84) (tptp.v4_lattices @t84) (tptp.v5_lattices @t84) (tptp.v6_lattices @t84) (tptp.v7_lattices @t84) (tptp.v8_lattices @t84) (tptp.v9_lattices @t84) (tptp.v10_lattices @t84))) % 0.53/0.78 (define @t111 () (forall @t35 (=> @t88 @t110))) % 0.53/0.78 (define @t112 () (@var "F" $$unsorted)) % 0.53/0.78 (define @t113 () (@var "E" $$unsorted)) % 0.53/0.78 (define @t114 () (@var "D" $$unsorted)) % 0.53/0.78 (define @t115 () (tptp.m1_subset_1 @t2 @t104)) % 0.53/0.78 (define @t116 () (and @t15 @t41 @t39 @t38 @t11 @t22 @t19)) % 0.53/0.78 (define @t117 () (tptp.m1_subset_1 @t3 @t2)) % 0.53/0.78 (define @t118 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1))) % 0.53/0.78 (define @t119 () (tptp.v11_lattices @t84)) % 0.53/0.78 (define @t120 () (=> @t58 @t119)) % 0.53/0.78 (define @t121 () (and @t87 @t85)) % 0.53/0.78 (define @t122 () (forall @t24 (=> @t121 @t120))) % 0.53/0.78 (define @t123 () (=> @t26 @t122)) % 0.53/0.78 (define @t124 () (forall @t28 @t123)) % 0.53/0.78 (define @t125 () (and @t8 @t7 (tptp.v15_lattices @t5) (tptp.v16_lattices @t5) @t6)) % 0.53/0.78 (define @t126 () (and @t15 @t13 @t52 @t57 @t11 @t66 @t10)) % 0.53/0.78 (define @t127 () (=> @t126 @t125)) % 0.53/0.78 (define @t128 () (forall @t20 (=> @t19 @t127))) % 0.53/0.78 (define @t129 () (=> @t22 @t128)) % 0.53/0.78 (define @t130 () (forall @t24 @t129)) % 0.53/0.78 (define @t131 () (=> @t26 @t130)) % 0.53/0.78 (define @t132 () (forall @t28 @t131)) % 0.53/0.78 (define @t133 () (@var "BOUND_VARIABLE_8368" $$unsorted)) % 0.53/0.78 (define @t134 () (tptp.v11_lattices (tptp.k23_filter_2 @t3 @t133))) % 0.53/0.78 (define @t135 () (not (tptp.m2_lattice4 @t133 @t3))) % 0.53/0.78 (define @t136 () (tptp.v1_xboole_0 @t133)) % 0.53/0.78 (define @t137 () (not @t58)) % 0.53/0.78 (define @t138 () (not @t11)) % 0.53/0.78 (define @t139 () (not @t13)) % 0.53/0.78 (define @t140 () (or @t136 @t135 @t134)) % 0.53/0.78 (define @t141 () (or @t14 @t139 @t138 @t137 @t140)) % 0.53/0.78 (define @t142 () (forall (@list @t3 @t133) @t141)) % 0.53/0.78 (define @t143 () (@list @t133)) % 0.53/0.78 (define @t144 () (forall @t143 @t141)) % 0.53/0.78 (define @t145 () (forall @t143 @t140)) % 0.53/0.78 (define @t146 () (or @t14 @t139 @t138 @t137 @t145)) % 0.53/0.78 (define @t147 () (not @t85)) % 0.53/0.78 (define @t148 () (or @t86 @t147 @t119)) % 0.53/0.78 (define @t149 () (forall @t24 @t148)) % 0.53/0.78 (define @t150 () (or @t14 @t139 @t138 @t137 @t149)) % 0.53/0.78 (define @t151 () (or @t137 @t149)) % 0.53/0.78 (define @t152 () (or @t14 @t139 @t138)) % 0.53/0.78 (define @t153 () (not @t15)) % 0.53/0.78 (define @t154 () (or @t153 @t139 @t138)) % 0.53/0.78 (define @t155 () (not @t26)) % 0.53/0.78 (define @t156 () (or @t137 @t148)) % 0.53/0.78 (define @t157 () (or @t86 @t147 @t137 @t119)) % 0.53/0.78 (define @t158 () (not @t87)) % 0.53/0.78 (define @t159 () (or @t158 @t147)) % 0.53/0.78 (define @t160 () (not @t121)) % 0.53/0.78 (define @t161 () (@var "BOUND_VARIABLE_7888" $$unsorted)) % 0.53/0.78 (define @t162 () (@var "BOUND_VARIABLE_7886" $$unsorted)) % 0.53/0.78 (define @t163 () (tptp.k23_filter_2 @t3 (tptp.k22_filter_2 @t3 @t162 @t161))) % 0.53/0.78 (define @t164 () (and (not (tptp.v3_struct_0 @t163)) (tptp.v10_lattices @t163) (tptp.v17_lattices @t163) (tptp.l3_lattices @t163))) % 0.53/0.78 (define @t165 () (not (tptp.r3_lattices @t3 @t162 @t161))) % 0.53/0.78 (define @t166 () (not (tptp.m1_subset_1 @t161 @t18))) % 0.53/0.78 (define @t167 () (not (tptp.m1_subset_1 @t162 @t18))) % 0.53/0.78 (define @t168 () (not @t12)) % 0.53/0.78 (define @t169 () (or @t14 @t139 @t138 @t168 @t167 @t166 @t165 @t164)) % 0.53/0.78 (define @t170 () (@list @t3 @t162 @t161)) % 0.53/0.78 (define @t171 () (forall @t170 @t169)) % 0.53/0.78 (define @t172 () (@quantifiers_skolemize @t171 2)) % 0.53/0.78 (define @t173 () (@quantifiers_skolemize @t171 1)) % 0.53/0.78 (define @t174 () (@quantifiers_skolemize @t171 0)) % 0.53/0.78 (define @t175 () (tptp.k22_filter_2 @t174 @t173 @t172)) % 0.53/0.78 (define @t176 () (@list @t174 @t175)) % 0.53/0.78 (define @t177 () (not @t19)) % 0.53/0.78 (define @t178 () (not @t22)) % 0.53/0.78 (define @t179 () (or @t153 @t139 @t138 @t178 @t177)) % 0.53/0.78 (define @t180 () (@list @t174 @t173 @t172)) % 0.53/0.78 (define @t181 () (or @t167 @t166 @t165 @t164)) % 0.53/0.78 (define @t182 () (or @t14 @t139 @t138 @t168 @t181)) % 0.53/0.78 (define @t183 () (forall @t170 @t182)) % 0.53/0.78 (define @t184 () (@list @t162 @t161)) % 0.53/0.78 (define @t185 () (forall @t184 @t182)) % 0.53/0.78 (define @t186 () (forall @t184 @t181)) % 0.53/0.78 (define @t187 () (@var "BOUND_VARIABLE_7859" $$unsorted)) % 0.53/0.78 (define @t188 () (or @t14 @t139 @t138 @t168 @t186)) % 0.53/0.78 (define @t189 () (tptp.k23_filter_2 @t3 (tptp.k22_filter_2 @t3 @t2 @t187))) % 0.53/0.78 (define @t190 () (and (not (tptp.v3_struct_0 @t189)) (tptp.v10_lattices @t189) (tptp.v17_lattices @t189) (tptp.l3_lattices @t189))) % 0.53/0.78 (define @t191 () (not (tptp.r3_lattices @t3 @t2 @t187))) % 0.53/0.78 (define @t192 () (not (tptp.m1_subset_1 @t187 @t18))) % 0.53/0.78 (define @t193 () (or @t178 @t192 @t191 @t190)) % 0.53/0.78 (define @t194 () (@list @t2 @t187)) % 0.53/0.78 (define @t195 () (forall @t194 @t193)) % 0.53/0.78 (define @t196 () (or @t14 @t139 @t138 @t168 @t195)) % 0.53/0.78 (define @t197 () (or @t14 @t139 @t168 @t138 @t195)) % 0.53/0.78 (define @t198 () (or @t192 @t191 @t190)) % 0.53/0.78 (define @t199 () (or @t178 @t198)) % 0.53/0.78 (define @t200 () (forall @t194 @t199)) % 0.53/0.78 (define @t201 () (@list @t187)) % 0.53/0.78 (define @t202 () (forall @t201 @t199)) % 0.53/0.78 (define @t203 () (forall @t201 @t198)) % 0.53/0.78 (define @t204 () (@list @t1)) % 0.53/0.78 (define @t205 () (or @t178 @t203)) % 0.53/0.78 (define @t206 () (not @t10)) % 0.53/0.78 (define @t207 () (or @t177 @t206 @t9)) % 0.53/0.78 (define @t208 () (forall @t20 @t207)) % 0.53/0.78 (define @t209 () (or @t178 @t208)) % 0.53/0.78 (define @t210 () (forall @t24 @t209)) % 0.53/0.78 (define @t211 () (or @t14 @t139 @t168 @t138 @t210)) % 0.53/0.78 (define @t212 () (or @t14 @t139 @t168 @t138 @t209)) % 0.53/0.78 (define @t213 () (or @t178 @t14 @t139 @t168 @t138 @t208)) % 0.53/0.78 (define @t214 () (or @t14 @t139 @t168 @t138 @t208)) % 0.53/0.78 (define @t215 () (or @t14 @t139 @t168 @t138 @t207)) % 0.53/0.78 (define @t216 () (or @t177 @t14 @t139 @t168 @t138 @t206 @t9)) % 0.53/0.78 (define @t217 () (or @t14 @t139 @t168 @t138 @t206 @t9)) % 0.53/0.78 (define @t218 () (or @t153 @t139 @t168 @t138 @t206)) % 0.53/0.78 (define @t219 () (tptp.u1_struct_0 @t174)) % 0.53/0.78 (define @t220 () (tptp.m1_subset_1 @t172 @t219)) % 0.53/0.78 (define @t221 () (tptp.k23_filter_2 @t174 @t175)) % 0.53/0.78 (define @t222 () (tptp.l3_lattices @t221)) % 0.53/0.78 (define @t223 () (tptp.v17_lattices @t221)) % 0.53/0.78 (define @t224 () (tptp.v10_lattices @t221)) % 0.53/0.78 (define @t225 () (tptp.v3_struct_0 @t221)) % 0.53/0.78 (define @t226 () (not @t225)) % 0.53/0.78 (define @t227 () (and @t226 @t224 @t223 @t222)) % 0.53/0.78 (define @t228 () (tptp.r3_lattices @t174 @t173 @t172)) % 0.53/0.78 (define @t229 () (not @t228)) % 0.53/0.78 (define @t230 () (not @t220)) % 0.53/0.78 (define @t231 () (tptp.m1_subset_1 @t173 @t219)) % 0.53/0.78 (define @t232 () (not @t231)) % 0.53/0.78 (define @t233 () (tptp.v17_lattices @t174)) % 0.53/0.78 (define @t234 () (not @t233)) % 0.53/0.78 (define @t235 () (tptp.l3_lattices @t174)) % 0.53/0.78 (define @t236 () (not @t235)) % 0.53/0.78 (define @t237 () (tptp.v10_lattices @t174)) % 0.53/0.78 (define @t238 () (not @t237)) % 0.53/0.78 (define @t239 () (tptp.v3_struct_0 @t174)) % 0.53/0.78 (define @t240 () (or @t239 @t238 @t236 @t234 @t232 @t230 @t229 @t227)) % 0.53/0.78 (define @t241 () (@list true)) % 0.53/0.78 (define @t242 () (@list @t240)) % 0.53/0.78 (define @t243 () (not @t239)) % 0.53/0.78 (define @t244 () (tptp.m2_lattice4 @t175 @t174)) % 0.53/0.78 (define @t245 () (tptp.v1_xboole_0 @t175)) % 0.53/0.78 (define @t246 () (not @t245)) % 0.53/0.78 (define @t247 () (and @t246 @t244)) % 0.53/0.78 (define @t248 () (or @t239 @t238 @t236 @t232 @t230 @t247)) % 0.53/0.78 (define @t249 () (not @t247)) % 0.53/0.78 (define @t250 () (@list false)) % 0.53/0.78 (define @t251 () (@list @t247)) % 0.53/0.78 (define @t252 () (or @t14 @t168 @t59)) % 0.53/0.78 (define @t253 () (@list @t174)) % 0.53/0.78 (define @t254 () (tptp.v16_lattices @t174)) % 0.53/0.78 (define @t255 () (tptp.v15_lattices @t174)) % 0.53/0.78 (define @t256 () (tptp.v11_lattices @t174)) % 0.53/0.78 (define @t257 () (and @t243 @t256 (tptp.v13_lattices @t174) (tptp.v14_lattices @t174) @t255 @t254)) % 0.53/0.78 (define @t258 () (or @t236 @t239 @t234 @t257)) % 0.53/0.78 (define @t259 () (not @t257)) % 0.53/0.78 (define @t260 () (@list @t257)) % 0.53/0.78 (define @t261 () (tptp.v11_lattices @t221)) % 0.53/0.78 (define @t262 () (not @t244)) % 0.53/0.78 (define @t263 () (not @t256)) % 0.53/0.78 (define @t264 () (or @t239 @t238 @t236 @t263 @t245 @t262 @t261)) % 0.53/0.78 (define @t265 () (or @t153 @t139 @t138 @t158 @t147)) % 0.53/0.78 (define @t266 () (and @t226 (tptp.v3_lattices @t221) (tptp.v4_lattices @t221) (tptp.v5_lattices @t221) (tptp.v6_lattices @t221) (tptp.v7_lattices @t221) (tptp.v8_lattices @t221) (tptp.v9_lattices @t221) @t224)) % 0.53/0.78 (define @t267 () (or @t239 @t238 @t236 @t245 @t262 @t266)) % 0.53/0.78 (define @t268 () (not @t266)) % 0.53/0.78 (define @t269 () (@list @t266)) % 0.53/0.78 (define @t270 () (@var "BOUND_VARIABLE_8428" $$unsorted)) % 0.53/0.78 (define @t271 () (@var "BOUND_VARIABLE_8426" $$unsorted)) % 0.53/0.78 (define @t272 () (tptp.k23_filter_2 @t3 (tptp.k22_filter_2 @t3 @t271 @t270))) % 0.53/0.78 (define @t273 () (and (not (tptp.v3_struct_0 @t272)) (tptp.v10_lattices @t272) (tptp.v15_lattices @t272) (tptp.v16_lattices @t272) (tptp.l3_lattices @t272))) % 0.53/0.78 (define @t274 () (not (tptp.r3_lattices @t3 @t271 @t270))) % 0.53/0.78 (define @t275 () (not (tptp.m1_subset_1 @t270 @t18))) % 0.53/0.78 (define @t276 () (not (tptp.m1_subset_1 @t271 @t18))) % 0.53/0.78 (define @t277 () (not @t66)) % 0.53/0.78 (define @t278 () (not @t57)) % 0.53/0.78 (define @t279 () (not @t52)) % 0.53/0.78 (define @t280 () (or @t276 @t275 @t274 @t273)) % 0.53/0.78 (define @t281 () (or @t14 @t139 @t138 @t279 @t278 @t277 @t280)) % 0.53/0.78 (define @t282 () (forall (@list @t3 @t271 @t270) @t281)) % 0.53/0.78 (define @t283 () (@list @t271 @t270)) % 0.53/0.78 (define @t284 () (forall @t283 @t281)) % 0.53/0.78 (define @t285 () (forall @t283 @t280)) % 0.53/0.78 (define @t286 () (@var "BOUND_VARIABLE_8400" $$unsorted)) % 0.53/0.78 (define @t287 () (or @t14 @t139 @t138 @t279 @t278 @t277 @t285)) % 0.53/0.78 (define @t288 () (tptp.k23_filter_2 @t3 (tptp.k22_filter_2 @t3 @t2 @t286))) % 0.53/0.78 (define @t289 () (and (not (tptp.v3_struct_0 @t288)) (tptp.v10_lattices @t288) (tptp.v15_lattices @t288) (tptp.v16_lattices @t288) (tptp.l3_lattices @t288))) % 0.53/0.78 (define @t290 () (not (tptp.r3_lattices @t3 @t2 @t286))) % 0.53/0.78 (define @t291 () (not (tptp.m1_subset_1 @t286 @t18))) % 0.53/0.78 (define @t292 () (or @t178 @t291 @t290 @t289)) % 0.53/0.78 (define @t293 () (@list @t2 @t286)) % 0.53/0.78 (define @t294 () (forall @t293 @t292)) % 0.53/0.78 (define @t295 () (or @t14 @t139 @t138 @t279 @t278 @t277 @t294)) % 0.53/0.78 (define @t296 () (or @t14 @t139 @t279 @t278 @t138 @t277 @t294)) % 0.53/0.78 (define @t297 () (or @t291 @t290 @t289)) % 0.53/0.78 (define @t298 () (or @t178 @t297)) % 0.53/0.78 (define @t299 () (forall @t293 @t298)) % 0.53/0.78 (define @t300 () (@list @t286)) % 0.53/0.78 (define @t301 () (forall @t300 @t298)) % 0.53/0.78 (define @t302 () (forall @t300 @t297)) % 0.53/0.78 (define @t303 () (or @t178 @t302)) % 0.53/0.78 (define @t304 () (or @t177 @t206 @t125)) % 0.53/0.78 (define @t305 () (forall @t20 @t304)) % 0.53/0.78 (define @t306 () (or @t178 @t305)) % 0.53/0.78 (define @t307 () (forall @t24 @t306)) % 0.53/0.78 (define @t308 () (or @t14 @t139 @t279 @t278 @t138 @t277 @t307)) % 0.53/0.78 (define @t309 () (or @t14 @t139 @t279 @t278 @t138 @t277 @t306)) % 0.53/0.78 (define @t310 () (or @t178 @t14 @t139 @t279 @t278 @t138 @t277 @t305)) % 0.53/0.78 (define @t311 () (or @t14 @t139 @t279 @t278 @t138 @t277 @t305)) % 0.53/0.78 (define @t312 () (or @t14 @t139 @t279 @t278 @t138 @t277 @t304)) % 0.53/0.78 (define @t313 () (or @t177 @t14 @t139 @t279 @t278 @t138 @t277 @t206 @t125)) % 0.53/0.78 (define @t314 () (or @t14 @t139 @t279 @t278 @t138 @t277 @t206 @t125)) % 0.53/0.78 (define @t315 () (or @t153 @t139 @t279 @t278 @t138 @t277 @t206)) % 0.53/0.78 (define @t316 () (or @t14 @t139 @t137 @t67)) % 0.53/0.78 (define @t317 () (or @t153 @t139 @t137)) % 0.53/0.78 (define @t318 () (tptp.v12_lattices @t174)) % 0.53/0.78 (define @t319 () (and @t243 (tptp.v4_lattices @t174) (tptp.v5_lattices @t174) (tptp.v6_lattices @t174) (tptp.v7_lattices @t174) (tptp.v8_lattices @t174) (tptp.v9_lattices @t174) @t237 @t318)) % 0.53/0.78 (define @t320 () (or @t236 @t239 @t238 @t263 @t319)) % 0.53/0.78 (define @t321 () (tptp.v16_lattices @t221)) % 0.53/0.78 (define @t322 () (tptp.v15_lattices @t221)) % 0.53/0.78 (define @t323 () (and @t226 @t224 @t322 @t321 @t222)) % 0.53/0.78 (define @t324 () (not @t318)) % 0.53/0.78 (define @t325 () (not @t254)) % 0.53/0.78 (define @t326 () (not @t255)) % 0.53/0.78 (define @t327 () (or @t239 @t238 @t236 @t326 @t325 @t324 @t232 @t230 @t229 @t323)) % 0.53/0.78 (define @t328 () (not @t323)) % 0.53/0.78 (define @t329 () (@list @t323)) % 0.53/0.78 (define @t330 () (not @t222)) % 0.53/0.78 (define @t331 () (not @t223)) % 0.53/0.78 (define @t332 () (not @t224)) % 0.53/0.78 (define @t333 () (and @t226 @t223)) % 0.53/0.78 (define @t334 () (not @t333)) % 0.53/0.78 (define @t335 () (or @t14 @t137 @t279 @t278 @t60)) % 0.53/0.78 (define @t336 () (or @t153 @t137 @t279 @t278)) % 0.53/0.78 (define @t337 () (not @t321)) % 0.53/0.78 (define @t338 () (not @t322)) % 0.53/0.78 (define @t339 () (not @t261)) % 0.53/0.78 (define @t340 () (or @t330 @t225 @t339 @t338 @t337 @t333)) % 0.53/0.78 (assume @p1 @t30) % 0.53/0.78 (assume @p2 (forall @t28 (=> @t11 (=> @t33 (= @t3 (tptp.g3_lattices @t18 @t32 @t31)))))) % 0.53/0.78 (assume @p3 (forall @t35 (=> @t34 (not (tptp.r2_hidden @t2 @t3))))) % 0.53/0.78 (assume @p4 (forall @t28 (=> @t37 @t36))) % 0.53/0.78 (assume @p5 (forall @t28 (=> @t11 (=> @t45 @t44)))) % 0.53/0.78 (assume @p6 (forall @t48 (=> @t47 (tptp.v1_relat_1 @t1)))) % 0.53/0.78 (assume @p7 (forall @t28 (=> @t51 @t50))) % 0.53/0.78 (assume @p8 (forall @t28 (=> @t11 (=> @t44 @t45)))) % 0.53/0.78 (assume @p9 (forall @t28 (=> @t11 (=> @t56 @t53)))) % 0.53/0.78 (assume @p10 (forall @t28 (=> @t11 (=> @t53 @t56)))) % 0.53/0.78 (assume @p11 @t62) % 0.53/0.78 (assume @p12 @t65) % 0.53/0.78 (assume @p13 @t70) % 0.53/0.78 (assume @p14 (forall @t48 (=> @t80 (and @t72 (tptp.l3_lattices @t71))))) % 0.53/0.78 (assume @p15 true) % 0.53/0.78 (assume @p16 @t83) % 0.53/0.78 (assume @p17 (forall @t35 (=> @t88 (tptp.m2_nat_lat @t84 @t3)))) % 0.53/0.78 (assume @p18 (forall @t28 (=> @t90 @t89))) % 0.53/0.78 (assume @p19 (forall @t28 (=> @t91 @t89))) % 0.53/0.78 (assume @p20 (forall @t28 (=> @t11 (and @t90 @t91)))) % 0.53/0.78 (assume @p21 (forall @t28 (=> @t26 (forall @t24 (=> @t85 @t92))))) % 0.53/0.78 (assume @p22 (forall @t28 (=> @t26 (forall @t24 (=> @t95 (and @t94 @t93 (tptp.l3_lattices @t2))))))) % 0.53/0.78 (assume @p23 (forall @t48 (=> @t96 @t47))) % 0.53/0.78 (assume @p24 (forall @t28 (=> @t90 (and @t99 @t98 (tptp.m2_relset_1 @t31 @t97 @t18))))) % 0.53/0.78 (assume @p25 (forall @t28 (=> @t91 (and @t101 @t100 (tptp.m2_relset_1 @t32 @t97 @t18))))) % 0.53/0.78 (assume @p26 (exists @t28 @t90)) % 0.53/0.78 (assume @p27 (exists @t28 @t89)) % 0.53/0.78 (assume @p28 (exists @t28 @t91)) % 0.53/0.78 (assume @p29 (exists @t28 @t11)) % 0.53/0.78 (assume @p30 (forall @t35 (exists @t20 @t102))) % 0.53/0.78 (assume @p31 (forall @t28 (exists @t24 (tptp.m1_subset_1 @t2 @t3)))) % 0.53/0.78 (assume @p32 (forall @t28 (=> @t26 (exists @t24 @t85)))) % 0.53/0.78 (assume @p33 (forall @t28 (=> @t26 (exists @t24 @t95)))) % 0.53/0.78 (assume @p34 (forall @t35 (exists @t20 @t96))) % 0.53/0.78 (assume @p35 (forall @t28 (=> @t103 (not (tptp.v1_xboole_0 @t18))))) % 0.53/0.78 (assume @p36 (forall @t28 (not (tptp.v1_xboole_0 @t104)))) % 0.53/0.78 (assume @p37 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.53/0.78 (assume @p38 (forall @t28 (=> (and @t15 @t43 @t91) (and @t106 @t101 @t100 (tptp.v1_binop_1 @t32 @t18) @t105)))) % 0.53/0.78 (assume @p39 (forall @t28 (=> (and @t15 @t42 @t91) (and @t106 @t101 @t100 (tptp.v2_binop_1 @t32 @t18) @t105)))) % 0.53/0.78 (assume @p40 (forall @t48 (=> (and @t107 @t79 @t78 @t77 @t76 @t75 @t74) (and (not (tptp.v3_struct_0 @t71)) @t72)))) % 0.53/0.78 (assume @p41 (forall @t28 (=> (and @t15 @t41 @t90) (and @t109 @t99 @t98 (tptp.v1_binop_1 @t31 @t18) @t108)))) % 0.53/0.78 (assume @p42 (forall @t35 (=> (and @t107 @t87) (not (tptp.v1_xboole_0 @t46))))) % 0.53/0.78 (assume @p43 @t111) % 0.53/0.78 (assume @p44 (forall @t28 (=> (and @t15 @t40 @t90) (and @t109 @t99 @t98 (tptp.v2_binop_1 @t31 @t18) @t108)))) % 0.53/0.78 (assume @p45 (forall @t48 (=> @t80 (forall (@list @t114 @t113 @t112) (=> (= @t71 (tptp.g3_lattices @t114 @t113 @t112)) (and (= @t3 @t114) (= @t2 @t113) (= @t1 @t112))))))) % 0.53/0.78 (assume @p46 (exists @t28 (and @t11 @t15 @t33 @t43 @t42 @t41 @t40 @t39 @t38 @t13 @t58 @t66 @t55 @t54))) % 0.53/0.78 (assume @p47 (exists @t28 (and @t11 @t15 @t33 @t43 @t42 @t41 @t40 @t39 @t38 @t13 @t55 @t54 @t52))) % 0.53/0.78 (assume @p48 (exists @t28 (and @t11 @t15 @t33 @t43 @t42 @t41 @t40 @t39 @t38 @t13 @t55 @t54 @t52 @t57))) % 0.53/0.78 (assume @p49 (exists @t28 (and @t11 @t15 @t33 @t43 @t42 @t41 @t40 @t39 @t38 @t13 @t58 @t55 @t54 @t52 @t57 @t12))) % 0.53/0.78 (assume @p50 (exists @t28 (and @t49 @t36))) % 0.53/0.78 (assume @p51 (forall @t28 (=> @t26 (exists @t24 (and @t85 @t87))))) % 0.53/0.78 (assume @p52 (forall @t28 (=> @t26 (exists @t24 (and @t95 @t94 (tptp.v3_lattices @t2) (tptp.v4_lattices @t2) (tptp.v5_lattices @t2) (tptp.v6_lattices @t2) (tptp.v7_lattices @t2) (tptp.v8_lattices @t2) (tptp.v9_lattices @t2) @t93))))) % 0.53/0.78 (assume @p53 (forall @t28 (=> @t107 (exists @t24 (and @t115 @t87))))) % 0.53/0.78 (assume @p54 (exists @t28 @t37)) % 0.53/0.78 (assume @p55 (exists @t28 @t51)) % 0.53/0.78 (assume @p56 (forall @t28 (exists @t24 (and @t115 @t86)))) % 0.53/0.78 (assume @p57 (exists @t28 @t107)) % 0.53/0.78 (assume @p58 (exists @t28 @t50)) % 0.53/0.78 (assume @p59 (exists @t28 (and @t11 @t33))) % 0.53/0.78 (assume @p60 (exists @t28 (and @t89 @t15))) % 0.53/0.78 (assume @p61 (forall @t28 (=> @t103 (exists @t24 (and @t92 @t87))))) % 0.53/0.78 (assume @p62 (exists @t28 (and @t11 @t15 @t33))) % 0.53/0.78 (assume @p63 (exists @t28 (and @t11 @t15 @t33 @t43 @t42 @t41 @t40 @t39 @t38 @t13))) % 0.53/0.78 (assume @p64 (forall @t48 (= @t96 @t102))) % 0.53/0.78 (assume @p65 (forall @t48 (=> @t116 (= @t10 (tptp.r1_lattices @t3 @t2 @t1))))) % 0.53/0.78 (assume @p66 (forall @t35 (tptp.r1_tarski @t3 @t3))) % 0.53/0.78 (assume @p67 (forall @t48 (=> @t116 (tptp.r3_lattices @t3 @t2 @t2)))) % 0.53/0.78 (assume @p68 (forall @t35 (=> @t34 @t117))) % 0.53/0.78 (assume @p69 (forall @t35 (=> @t117 (or @t86 @t34)))) % 0.53/0.78 (assume @p70 (forall @t35 (= (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t2)) (tptp.r1_tarski @t3 @t2)))) % 0.53/0.78 (assume @p71 (forall @t48 (=> (and @t34 @t118) (tptp.m1_subset_1 @t3 @t1)))) % 0.53/0.78 (assume @p72 (forall @t48 (not (and @t34 @t118 (tptp.v1_xboole_0 @t1))))) % 0.53/0.78 (assume @p73 (forall @t28 (=> @t37 (= @t3 tptp.k1_xboole_0)))) % 0.53/0.78 (assume @p74 @t124) % 0.53/0.78 (assume @p75 (forall @t35 (not (and @t34 @t86)))) % 0.53/0.78 (assume @p76 @t132) % 0.53/0.78 (assume @p77 (forall @t35 (not (and @t37 (not (= @t3 @t2)) @t86)))) % 0.53/0.78 (step @p78 :rule aci_norm :args ((= @t141 (or @t14 @t139 @t138 @t137 @t136 @t135 @t134)))) % 0.53/0.78 (step @p79 :rule cong :premises (@p78) :args (@t142)) % 0.53/0.78 (step @p80 :rule quant-merge-prenex :args ((= (forall @t28 @t144) @t142))) % 0.53/0.78 (step @p81 :rule alpha_equiv :args (@t145 (@list @t133) (@list @t2))) % 0.53/0.78 (step @p82 :rule refl :args (@t137)) % 0.53/0.78 (step @p83 :rule refl :args (@t138)) % 0.53/0.78 (step @p84 :rule refl :args (@t139)) % 0.53/0.78 (step @p85 :rule refl :args (@t14)) % 0.53/0.78 (step @p86 :rule nary_cong :premises (@p85 @p84 @p83 @p82 @p81) :args (@t146)) % 0.53/0.78 (step @p87 :rule quant-miniscope-or :args ((= @t144 @t146))) % 0.53/0.78 (step @p88 :rule trans :premises (@p87 @p86)) % 0.53/0.78 (step @p89 :rule symm :premises (@p88)) % 0.53/0.78 (step @p90 :rule cong :premises (@p89) :args ((forall @t28 @t150))) % 0.53/0.78 (step @p91 :rule trans :premises (@p90 @p80)) % 0.53/0.78 (step @p92 :rule trans :premises (@p91 @p79)) % 0.53/0.78 (step @p93 :rule aci_norm :args ((= (or @t152 @t151) @t150))) % 0.53/0.78 (step @p94 :rule refl :args (@t151)) % 0.53/0.78 (step @p95 :rule bool-double-not-elim :args (@t14)) % 0.53/0.78 (step @p96 :rule nary_cong :premises (@p95 @p84 @p83) :args (@t154)) % 0.53/0.78 (step @p97 :rule aci_norm :args ((= (or @t153 (or @t139 @t138)) @t154))) % 0.53/0.78 (step @p98 :rule trans :premises (@p97 @p96)) % 0.53/0.78 (step @p99 :rule bool-and-de-morgan :args (@t13 @t11 true)) % 0.53/0.78 (step @p100 :rule refl :args (@t153)) % 0.53/0.78 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t153 (not (and @t13 @t11))))) % 0.53/0.78 (step @p102 :rule bool-and-de-morgan :args (@t15 @t13 (and @t11))) % 0.53/0.78 (step @p103 :rule trans :premises (@p102 @p101)) % 0.53/0.78 (step @p104 :rule trans :premises (@p103 @p98)) % 0.53/0.78 (step @p105 :rule nary_cong :premises (@p104 @p94) :args ((or @t155 @t151))) % 0.53/0.78 (step @p106 :rule trans :premises (@p105 @p93)) % 0.53/0.78 (step @p107 :rule bool-impl-elim :args (@t26 @t151)) % 0.53/0.78 (step @p108 :rule trans :premises (@p107 @p106)) % 0.53/0.78 (step @p109 :rule cong :premises (@p108) :args ((forall @t28 (=> @t26 @t151)))) % 0.53/0.78 (step @p110 :rule trans :premises (@p109 @p92)) % 0.53/0.78 (step @p111 :rule quant-miniscope-or :args ((= (forall @t24 @t156) @t151))) % 0.53/0.78 (step @p112 :rule aci_norm :args ((= @t157 @t156))) % 0.53/0.78 (step @p113 :rule cong :premises (@p112) :args ((forall @t24 @t157))) % 0.53/0.78 (step @p114 :rule trans :premises (@p113 @p111)) % 0.53/0.78 (step @p115 :rule aci_norm :args ((= (or (or @t86 @t147) (or @t137 @t119)) @t157))) % 0.53/0.78 (step @p116 :rule bool-impl-elim :args (@t58 @t119)) % 0.53/0.78 (step @p117 :rule refl :args (@t147)) % 0.53/0.78 (step @p118 :rule bool-double-not-elim :args (@t86)) % 0.53/0.78 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t159)) % 0.53/0.78 (step @p120 :rule bool-and-de-morgan :args (@t87 @t85 true)) % 0.53/0.78 (step @p121 :rule trans :premises (@p120 @p119)) % 0.53/0.78 (step @p122 :rule nary_cong :premises (@p121 @p116) :args ((or @t160 @t120))) % 0.53/0.78 (step @p123 :rule trans :premises (@p122 @p115)) % 0.53/0.78 (step @p124 :rule bool-impl-elim :args (@t121 @t120)) % 0.53/0.78 (step @p125 :rule trans :premises (@p124 @p123)) % 0.53/0.78 (step @p126 :rule cong :premises (@p125) :args (@t122)) % 0.53/0.78 (step @p127 :rule trans :premises (@p126 @p114)) % 0.53/0.78 (step @p128 :rule refl :args (@t26)) % 0.53/0.78 (step @p129 :rule cong :premises (@p128 @p127) :args (@t123)) % 0.53/0.78 (step @p130 :rule cong :premises (@p129) :args (@t124)) % 0.53/0.78 (step @p131 :rule trans :premises (@p130 @p110)) % 0.53/0.78 (step @p132 :rule eq_resolve :premises (@p74 @p131)) % 0.53/0.78 (step @p133 :rule instantiate :premises (@p132) :args (@t176)) % 0.53/0.78 (step @p134 :rule aci_norm :args ((= (or (or @t14 @t139 @t138 @t178 @t177) @t81) (or @t14 @t139 @t138 @t178 @t177 @t81)))) % 0.53/0.78 (step @p135 :rule refl :args (@t81)) % 0.53/0.78 (step @p136 :rule refl :args (@t177)) % 0.53/0.78 (step @p137 :rule refl :args (@t178)) % 0.53/0.78 (step @p138 :rule nary_cong :premises (@p95 @p84 @p83 @p137 @p136) :args (@t179)) % 0.53/0.78 (step @p139 :rule aci_norm :args ((= (or @t153 (or @t139 (or @t138 (or @t178 @t177)))) @t179))) % 0.53/0.78 (step @p140 :rule trans :premises (@p139 @p138)) % 0.53/0.78 (step @p141 :rule bool-and-de-morgan :args (@t22 @t19 true)) % 0.53/0.78 (step @p142 :rule nary_cong :premises (@p83 @p141) :args ((or @t138 (not (and @t22 @t19))))) % 0.53/0.78 (step @p143 :rule bool-and-de-morgan :args (@t11 @t22 (and @t19))) % 0.53/0.78 (step @p144 :rule trans :premises (@p143 @p142)) % 0.53/0.78 (step @p145 :rule nary_cong :premises (@p84 @p144) :args ((or @t139 (not (and @t11 @t22 @t19))))) % 0.53/0.78 (step @p146 :rule bool-and-de-morgan :args (@t13 @t11 (and @t22 @t19))) % 0.53/0.78 (step @p147 :rule trans :premises (@p146 @p145)) % 0.53/0.78 (step @p148 :rule nary_cong :premises (@p100 @p147) :args ((or @t153 (not (and @t13 @t11 @t22 @t19))))) % 0.53/0.78 (step @p149 :rule bool-and-de-morgan :args (@t15 @t13 (and @t11 @t22 @t19))) % 0.53/0.78 (step @p150 :rule trans :premises (@p149 @p148)) % 0.53/0.78 (step @p151 :rule trans :premises (@p150 @p140)) % 0.53/0.78 (step @p152 :rule nary_cong :premises (@p151 @p135) :args ((or (not @t82) @t81))) % 0.53/0.78 (step @p153 :rule trans :premises (@p152 @p134)) % 0.53/0.78 (step @p154 :rule bool-impl-elim :args (@t82 @t81)) % 0.53/0.78 (step @p155 :rule trans :premises (@p154 @p153)) % 0.53/0.78 (step @p156 :rule cong :premises (@p155) :args (@t83)) % 0.53/0.78 (step @p157 :rule eq_resolve :premises (@p16 @p156)) % 0.53/0.78 (step @p158 :rule instantiate :premises (@p157) :args (@t180)) % 0.53/0.78 (step @p159 :rule aci_norm :args ((= @t182 @t169))) % 0.53/0.78 (step @p160 :rule cong :premises (@p159) :args (@t183)) % 0.53/0.78 (step @p161 :rule quant-merge-prenex :args ((= (forall @t28 @t185) @t183))) % 0.53/0.78 (step @p162 :rule alpha_equiv :args (@t186 (@list @t162 @t161) (@list @t2 @t187))) % 0.53/0.78 (step @p163 :rule refl :args (@t168)) % 0.53/0.78 (step @p164 :rule nary_cong :premises (@p85 @p84 @p83 @p163 @p162) :args (@t188)) % 0.53/0.78 (step @p165 :rule quant-miniscope-or :args ((= @t185 @t188))) % 0.53/0.78 (step @p166 :rule trans :premises (@p165 @p164)) % 0.53/0.78 (step @p167 :rule symm :premises (@p166)) % 0.53/0.78 (step @p168 :rule cong :premises (@p167) :args ((forall @t28 @t196))) % 0.53/0.78 (step @p169 :rule trans :premises (@p168 @p161)) % 0.53/0.78 (step @p170 :rule trans :premises (@p169 @p160)) % 0.53/0.78 (step @p171 :rule aci_norm :args ((= (or @t152 @t197) @t196))) % 0.53/0.78 (step @p172 :rule refl :args (@t197)) % 0.53/0.78 (step @p173 :rule nary_cong :premises (@p104 @p172) :args ((or @t155 @t197))) % 0.53/0.78 (step @p174 :rule trans :premises (@p173 @p171)) % 0.53/0.78 (step @p175 :rule bool-impl-elim :args (@t26 @t197)) % 0.53/0.78 (step @p176 :rule trans :premises (@p175 @p174)) % 0.53/0.78 (step @p177 :rule cong :premises (@p176) :args ((forall @t28 (=> @t26 @t197)))) % 0.53/0.78 (step @p178 :rule trans :premises (@p177 @p170)) % 0.53/0.78 (step @p179 :rule aci_norm :args ((= @t199 @t193))) % 0.53/0.78 (step @p180 :rule cong :premises (@p179) :args (@t200)) % 0.53/0.78 (step @p181 :rule quant-merge-prenex :args ((= (forall @t24 @t202) @t200))) % 0.53/0.78 (step @p182 :rule alpha_equiv :args (@t203 (@list @t187) @t204)) % 0.53/0.78 (step @p183 :rule nary_cong :premises (@p137 @p182) :args (@t205)) % 0.53/0.78 (step @p184 :rule quant-miniscope-or :args ((= @t202 @t205))) % 0.53/0.78 (step @p185 :rule trans :premises (@p184 @p183)) % 0.53/0.78 (step @p186 :rule symm :premises (@p185)) % 0.53/0.78 (step @p187 :rule cong :premises (@p186) :args (@t210)) % 0.53/0.78 (step @p188 :rule trans :premises (@p187 @p181)) % 0.53/0.78 (step @p189 :rule trans :premises (@p188 @p180)) % 0.53/0.78 (step @p190 :rule refl :args (@t138)) % 0.53/0.78 (step @p191 :rule refl :args (@t168)) % 0.53/0.78 (step @p192 :rule refl :args (@t139)) % 0.53/0.78 (step @p193 :rule refl :args (@t14)) % 0.53/0.78 (step @p194 :rule nary_cong :premises (@p193 @p192 @p191 @p190 @p189) :args (@t211)) % 0.53/0.78 (step @p195 :rule quant-miniscope-or :args ((= (forall @t24 @t212) @t211))) % 0.53/0.78 (step @p196 :rule aci_norm :args ((= @t213 @t212))) % 0.53/0.78 (step @p197 :rule cong :premises (@p196) :args ((forall @t24 @t213))) % 0.53/0.78 (step @p198 :rule trans :premises (@p197 @p195)) % 0.53/0.78 (step @p199 :rule trans :premises (@p198 @p194)) % 0.53/0.78 (step @p200 :rule aci_norm :args ((= (or @t178 @t214) @t213))) % 0.53/0.78 (step @p201 :rule bool-impl-elim :args (@t22 @t214)) % 0.53/0.78 (step @p202 :rule trans :premises (@p201 @p200)) % 0.53/0.78 (step @p203 :rule cong :premises (@p202) :args ((forall @t24 (=> @t22 @t214)))) % 0.53/0.78 (step @p204 :rule trans :premises (@p203 @p199)) % 0.53/0.78 (step @p205 :rule quant-miniscope-or :args ((= (forall @t20 @t215) @t214))) % 0.53/0.78 (step @p206 :rule aci_norm :args ((= @t216 @t215))) % 0.53/0.78 (step @p207 :rule cong :premises (@p206) :args ((forall @t20 @t216))) % 0.53/0.78 (step @p208 :rule trans :premises (@p207 @p205)) % 0.53/0.78 (step @p209 :rule aci_norm :args ((= (or @t177 @t217) @t216))) % 0.53/0.78 (step @p210 :rule aci_norm :args ((= (or (or @t14 @t139 @t168 @t138 @t206) @t9) @t217))) % 0.53/0.78 (step @p211 :rule refl :args (@t9)) % 0.53/0.78 (step @p212 :rule refl :args (@t206)) % 0.53/0.78 (step @p213 :rule nary_cong :premises (@p95 @p84 @p163 @p83 @p212) :args (@t218)) % 0.53/0.78 (step @p214 :rule aci_norm :args ((= (or @t153 (or @t139 (or @t168 (or @t138 @t206)))) @t218))) % 0.53/0.78 (step @p215 :rule trans :premises (@p214 @p213)) % 0.53/0.78 (step @p216 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.53/0.78 (step @p217 :rule nary_cong :premises (@p163 @p216) :args ((or @t168 (not (and @t11 @t10))))) % 0.53/0.78 (step @p218 :rule bool-and-de-morgan :args (@t12 @t11 (and @t10))) % 0.53/0.78 (step @p219 :rule trans :premises (@p218 @p217)) % 0.53/0.78 (step @p220 :rule nary_cong :premises (@p84 @p219) :args ((or @t139 (not (and @t12 @t11 @t10))))) % 0.53/0.78 (step @p221 :rule bool-and-de-morgan :args (@t13 @t12 (and @t11 @t10))) % 0.53/0.78 (step @p222 :rule trans :premises (@p221 @p220)) % 0.53/0.78 (step @p223 :rule nary_cong :premises (@p100 @p222) :args ((or @t153 (not (and @t13 @t12 @t11 @t10))))) % 0.53/0.78 (step @p224 :rule bool-and-de-morgan :args (@t15 @t13 (and @t12 @t11 @t10))) % 0.53/0.78 (step @p225 :rule trans :premises (@p224 @p223)) % 0.53/0.78 (step @p226 :rule trans :premises (@p225 @p215)) % 0.53/0.78 (step @p227 :rule nary_cong :premises (@p226 @p211) :args ((or (not @t16) @t9))) % 0.53/0.78 (step @p228 :rule trans :premises (@p227 @p210)) % 0.53/0.78 (step @p229 :rule bool-impl-elim :args (@t16 @t9)) % 0.53/0.78 (step @p230 :rule trans :premises (@p229 @p228)) % 0.53/0.78 (step @p231 :rule nary_cong :premises (@p136 @p230) :args ((or @t177 @t17))) % 0.53/0.78 (step @p232 :rule trans :premises (@p231 @p209)) % 0.53/0.78 (step @p233 :rule bool-impl-elim :args (@t19 @t17)) % 0.53/0.78 (step @p234 :rule trans :premises (@p233 @p232)) % 0.53/0.78 (step @p235 :rule cong :premises (@p234) :args (@t21)) % 0.53/0.78 (step @p236 :rule trans :premises (@p235 @p208)) % 0.53/0.78 (step @p237 :rule refl :args (@t22)) % 0.53/0.78 (step @p238 :rule cong :premises (@p237 @p236) :args (@t23)) % 0.53/0.78 (step @p239 :rule cong :premises (@p238) :args (@t25)) % 0.53/0.78 (step @p240 :rule trans :premises (@p239 @p204)) % 0.53/0.78 (step @p241 :rule cong :premises (@p128 @p240) :args (@t27)) % 0.53/0.78 (step @p242 :rule cong :premises (@p241) :args (@t29)) % 0.53/0.78 (step @p243 :rule trans :premises (@p242 @p178)) % 0.53/0.78 (step @p244 :rule cong :premises (@p243) :args (@t30)) % 0.53/0.78 (step @p245 :rule eq_resolve :premises (@p1 @p244)) % 0.53/0.78 (step @p246 :rule 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@p474 :rule chain_m_resolution :premises (@p473 @p246) :args (@t228 @t241 @t242)) % 0.53/0.78 (step @p475 :rule cnf_or_pos :args (@t327)) % 0.53/0.78 (step @p476 :rule reordering :premises (@p475) :args ((or @t239 @t238 @t236 @t232 @t230 @t229 @t326 @t325 @t324 @t323 (not @t327)))) % 0.53/0.78 (step @p477 :rule chain_m_resolution :premises (@p476 @p273 @p271 @p265 @p259 @p253 @p474 @p468 @p465 @p462 @p434) :args (@t323 (@list true false false false false false false false false false) (@list @t239 @t237 @t235 @t231 @t220 @t228 @t255 @t254 @t318 @t327))) % 0.53/0.78 (step @p478 :rule cnf_and_pos :args (@t323 2)) % 0.53/0.78 (step @p479 :rule reordering :premises (@p478) :args ((or @t322 @t328))) % 0.53/0.78 (step @p480 :rule chain_m_resolution :premises (@p479 @p477) :args (@t322 @t250 @t329)) % 0.53/0.78 (step @p481 :rule cnf_and_pos :args (@t323 3)) % 0.53/0.78 (step @p482 :rule reordering :premises (@p481) :args ((or @t321 @t328))) % 0.53/0.78 (step @p483 :rule chain_m_resolution :premises (@p482 @p477) :args (@t321 @t250 @t329)) % 0.53/0.78 (step @p484 :rule cnf_and_pos :args (@t323 4)) % 0.53/0.78 (step @p485 :rule reordering :premises (@p484) :args ((or @t222 @t328))) % 0.53/0.78 (step @p486 :rule chain_m_resolution :premises (@p485 @p477) :args (@t222 @t250 @t329)) % 0.53/0.78 (step @p487 :rule cnf_and_pos :args (@t266 8)) % 0.53/0.78 (step @p488 :rule reordering :premises (@p487) :args ((or @t224 @t268))) % 0.53/0.78 (step @p489 :rule chain_m_resolution :premises (@p488 @p339) :args (@t224 @t250 @t269)) % 0.53/0.78 (step @p490 :rule cnf_or_neg :args (@t240 7)) % 0.53/0.78 (step @p491 :rule chain_m_resolution :premises (@p490 @p246) :args ((not @t227) @t241 @t242)) % 0.53/0.78 (step @p492 :rule refl :args (@t330)) % 0.53/0.78 (step @p493 :rule refl :args (@t331)) % 0.53/0.78 (step @p494 :rule refl :args (@t332)) % 0.53/0.78 (step @p495 :rule bool-double-not-elim :args (@t225)) % 0.53/0.78 (step @p496 :rule refl :args (@t227)) % 0.53/0.78 (step @p497 :rule nary_cong :premises (@p496 @p495 @p494 @p493 @p492) :args ((or @t227 (not @t226) @t332 @t331 @t330))) % 0.53/0.78 (step @p498 :rule cnf_and_neg :args (@t227)) % 0.53/0.78 (step @p499 :rule eq_resolve :premises (@p498 @p497)) % 0.53/0.78 (step @p500 :rule reordering :premises (@p499) :args ((or @t225 @t227 @t332 @t331 @t330))) % 0.53/0.78 (step @p501 :rule chain_m_resolution :premises (@p500 @p342 @p491 @p489 @p486) :args (@t331 (@list true true false false) (@list @t225 @t227 @t224 @t222))) % 0.53/0.78 (step @p502 :rule cnf_and_pos :args (@t333 1)) % 0.53/0.78 (step @p503 :rule reordering :premises (@p502) :args ((or @t223 @t334))) % 0.53/0.78 (step @p504 :rule chain_m_resolution :premises (@p503 @p501) :args (@t334 @t241 (@list @t223))) % 0.53/0.78 (step @p505 :rule aci_norm :args ((= (or @t138 @t335) (or @t138 @t14 @t137 @t279 @t278 @t60)))) % 0.53/0.78 (step @p506 :rule aci_norm :args ((= (or (or @t14 @t137 @t279 @t278) @t60) @t335))) % 0.53/0.78 (step @p507 :rule refl :args (@t60)) % 0.53/0.78 (step @p508 :rule nary_cong :premises (@p95 @p82 @p349 @p348) :args (@t336)) % 0.53/0.78 (step @p509 :rule aci_norm :args ((= (or @t153 (or @t137 (or @t279 @t278))) @t336))) % 0.53/0.78 (step @p510 :rule trans :premises (@p509 @p508)) % 0.53/0.78 (step @p511 :rule bool-and-de-morgan :args (@t52 @t57 true)) % 0.53/0.78 (step @p512 :rule nary_cong :premises (@p82 @p511) :args ((or @t137 (not (and @t52 @t57))))) % 0.53/0.78 (step @p513 :rule bool-and-de-morgan :args (@t58 @t52 (and @t57))) % 0.53/0.78 (step @p514 :rule trans :premises (@p513 @p512)) % 0.53/0.78 (step @p515 :rule nary_cong :premises (@p100 @p514) :args ((or @t153 (not (and @t58 @t52 @t57))))) % 0.53/0.78 (step @p516 :rule bool-and-de-morgan :args (@t15 @t58 (and @t52 @t57))) % 0.53/0.78 (step @p517 :rule trans :premises (@p516 @p515)) % 0.53/0.78 (step @p518 :rule trans :premises (@p517 @p510)) % 0.53/0.78 (step @p519 :rule nary_cong :premises (@p518 @p507) :args ((or (not @t63) @t60))) % 0.53/0.78 (step @p520 :rule trans :premises (@p519 @p506)) % 0.53/0.78 (step @p521 :rule bool-impl-elim :args (@t63 @t60)) % 0.53/0.78 (step @p522 :rule trans :premises (@p521 @p520)) % 0.53/0.78 (step @p523 :rule nary_cong :premises (@p83 @p522) :args ((or @t138 @t64))) % 0.53/0.78 (step @p524 :rule trans :premises (@p523 @p505)) % 0.53/0.78 (step @p525 :rule bool-impl-elim :args (@t11 @t64)) % 0.53/0.78 (step @p526 :rule trans :premises (@p525 @p524)) % 0.53/0.78 (step @p527 :rule cong :premises (@p526) :args (@t65)) % 0.53/0.78 (step @p528 :rule eq_resolve :premises (@p12 @p527)) % 0.53/0.78 (step @p529 :rule instantiate :premises (@p528) :args ((@list @t221))) % 0.53/0.78 (step @p530 :rule cnf_or_pos :args (@t340)) % 0.53/0.78 (step @p531 :rule reordering :premises (@p530) :args ((or @t225 @t330 @t339 @t338 @t337 @t333 (not @t340)))) % 0.53/0.78 (step @p532 false :rule chain_m_resolution :premises (@p531 @p529 @p504 @p486 @p483 @p480 @p342 @p314) :args (false (@list false true false false false true false) (@list @t340 @t333 @t222 @t321 @t322 @t225 @t261))) % 0.53/0.78 ) % 0.53/0.78 % SZS output end Proof % 0.53/0.78 % cvc5 exiting %------------------------------------------------------------------------------