%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT309+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:30:14 AM UTC 2026 % Result : Theorem 10.61s 10.87s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT309+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n023.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 06:22:28 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 10.61/10.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 10.61/10.87 % SZS status Theorem % 10.61/10.87 % SZS output start Proof % 10.61/10.87 ( % 10.61/10.87 (declare-sort $$unsorted 0) % 10.61/10.87 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.v1_filter_0 (-> $$unsorted $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.k5_lattices (-> $$unsorted $$unsorted)) % 10.61/10.87 (declare-const tptp.m1_filter_2 (-> $$unsorted $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.k15_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 10.61/10.87 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.k8_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 10.61/10.87 (declare-const tptp.k5_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 10.61/10.87 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 10.61/10.87 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.m1_filter_0 (-> $$unsorted $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 10.61/10.87 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.v14_lattices (-> $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 10.61/10.87 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.k1_xboole_0 $$unsorted) % 10.61/10.87 (declare-const tptp.k7_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 10.61/10.87 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.k14_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 10.61/10.87 (declare-const tptp.r2_filter_2 (-> $$unsorted $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 10.61/10.87 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 10.61/10.87 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.m2_filter_2 (-> $$unsorted $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.v15_lattices (-> $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 10.61/10.87 (declare-const tptp.k6_lattices (-> $$unsorted $$unsorted)) % 10.61/10.87 (declare-const tptp.v13_lattices (-> $$unsorted Bool)) % 10.61/10.87 (declare-const tptp.k1_lattice2 (-> $$unsorted $$unsorted)) % 10.61/10.87 (define @t1 () (@var "C" $$unsorted)) % 10.61/10.87 (define @t2 () (@var "A" $$unsorted)) % 10.61/10.87 (define @t3 () (tptp.r2_filter_2 @t2 @t1)) % 10.61/10.87 (define @t4 () (@var "B" $$unsorted)) % 10.61/10.87 (define @t5 () (tptp.r2_hidden @t4 @t1)) % 10.61/10.87 (define @t6 () (not (and @t5 @t3))) % 10.61/10.87 (define @t7 () (tptp.m2_filter_2 @t1 @t2)) % 10.61/10.87 (define @t8 () (@list @t1)) % 10.61/10.87 (define @t9 () (forall @t8 (=> @t7 @t6))) % 10.61/10.87 (define @t10 () (tptp.k6_lattices @t2)) % 10.61/10.87 (define @t11 () (= @t4 @t10)) % 10.61/10.87 (define @t12 () (not @t11)) % 10.61/10.87 (define @t13 () (tptp.v14_lattices @t2)) % 10.61/10.87 (define @t14 () (and @t13 @t12 @t9)) % 10.61/10.87 (define @t15 () (not @t14)) % 10.61/10.87 (define @t16 () (tptp.u1_struct_0 @t2)) % 10.61/10.87 (define @t17 () (tptp.m1_subset_1 @t4 @t16)) % 10.61/10.87 (define @t18 () (=> @t17 @t15)) % 10.61/10.87 (define @t19 () (@list @t4)) % 10.61/10.87 (define @t20 () (forall @t19 @t18)) % 10.61/10.87 (define @t21 () (tptp.l3_lattices @t2)) % 10.61/10.87 (define @t22 () (tptp.v10_lattices @t2)) % 10.61/10.87 (define @t23 () (tptp.v3_struct_0 @t2)) % 10.61/10.87 (define @t24 () (not @t23)) % 10.61/10.87 (define @t25 () (and @t24 @t22 @t21)) % 10.61/10.87 (define @t26 () (=> @t25 @t20)) % 10.61/10.87 (define @t27 () (@list @t2)) % 10.61/10.87 (define @t28 () (forall @t27 @t26)) % 10.61/10.87 (define @t29 () (not @t28)) % 10.61/10.87 (define @t30 () (tptp.u1_lattices @t2)) % 10.61/10.87 (define @t31 () (tptp.u2_lattices @t2)) % 10.61/10.87 (define @t32 () (tptp.v3_lattices @t2)) % 10.61/10.87 (define @t33 () (tptp.r2_hidden @t2 @t4)) % 10.61/10.87 (define @t34 () (@list @t2 @t4)) % 10.61/10.87 (define @t35 () (tptp.v1_funct_1 @t2)) % 10.61/10.87 (define @t36 () (tptp.v1_xboole_0 @t2)) % 10.61/10.87 (define @t37 () (tptp.v9_lattices @t2)) % 10.61/10.87 (define @t38 () (tptp.v8_lattices @t2)) % 10.61/10.87 (define @t39 () (tptp.v7_lattices @t2)) % 10.61/10.87 (define @t40 () (tptp.v6_lattices @t2)) % 10.61/10.87 (define @t41 () (tptp.v5_lattices @t2)) % 10.61/10.87 (define @t42 () (tptp.v4_lattices @t2)) % 10.61/10.87 (define @t43 () (and @t24 @t42 @t41 @t40 @t39 @t38 @t37)) % 10.61/10.87 (define @t44 () (and @t24 @t22)) % 10.61/10.87 (define @t45 () (tptp.k2_zfmisc_1 @t2 @t4)) % 10.61/10.87 (define @t46 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t45))) % 10.61/10.87 (define @t47 () (@list @t2 @t4 @t1)) % 10.61/10.87 (define @t48 () (tptp.v1_relat_1 @t2)) % 10.61/10.87 (define @t49 () (and @t48 @t35 (tptp.v2_funct_1 @t2))) % 10.61/10.87 (define @t50 () (and @t48 @t36 @t35)) % 10.61/10.87 (define @t51 () (tptp.v15_lattices @t2)) % 10.61/10.87 (define @t52 () (and @t24 @t51)) % 10.61/10.87 (define @t53 () (tptp.v13_lattices @t2)) % 10.61/10.87 (define @t54 () (and @t24 @t53 @t13)) % 10.61/10.87 (define @t55 () (tptp.k1_lattice2 @t2)) % 10.61/10.87 (define @t56 () (tptp.k5_filter_2 @t2 @t4)) % 10.61/10.87 (define @t57 () (=> @t17 (= @t56 @t4))) % 10.61/10.87 (define @t58 () (forall @t19 @t57)) % 10.61/10.87 (define @t59 () (=> @t25 @t58)) % 10.61/10.87 (define @t60 () (forall @t27 @t59)) % 10.61/10.87 (define @t61 () (tptp.k7_filter_2 @t2 @t4)) % 10.61/10.87 (define @t62 () (tptp.k1_zfmisc_1 @t16)) % 10.61/10.87 (define @t63 () (tptp.m1_subset_1 @t4 @t62)) % 10.61/10.87 (define @t64 () (=> @t63 (= @t61 @t4))) % 10.61/10.87 (define @t65 () (forall @t19 @t64)) % 10.61/10.87 (define @t66 () (=> @t25 @t65)) % 10.61/10.87 (define @t67 () (forall @t27 @t66)) % 10.61/10.87 (define @t68 () (tptp.k8_filter_2 @t2 @t4)) % 10.61/10.87 (define @t69 () (tptp.u1_struct_0 @t55)) % 10.61/10.87 (define @t70 () (tptp.k1_zfmisc_1 @t69)) % 10.61/10.87 (define @t71 () (tptp.m1_subset_1 @t4 @t70)) % 10.61/10.87 (define @t72 () (=> @t71 (= @t68 @t4))) % 10.61/10.87 (define @t73 () (forall @t19 @t72)) % 10.61/10.87 (define @t74 () (=> @t25 @t73)) % 10.61/10.87 (define @t75 () (forall @t27 @t74)) % 10.61/10.87 (define @t76 () (tptp.g3_lattices @t2 @t4 @t1)) % 10.61/10.87 (define @t77 () (tptp.v3_lattices @t76)) % 10.61/10.87 (define @t78 () (tptp.k2_zfmisc_1 @t2 @t2)) % 10.61/10.87 (define @t79 () (tptp.m1_relset_1 @t1 @t78 @t2)) % 10.61/10.87 (define @t80 () (tptp.v1_funct_2 @t1 @t78 @t2)) % 10.61/10.87 (define @t81 () (tptp.v1_funct_1 @t1)) % 10.61/10.87 (define @t82 () (tptp.m1_relset_1 @t4 @t78 @t2)) % 10.61/10.87 (define @t83 () (tptp.v1_funct_2 @t4 @t78 @t2)) % 10.61/10.87 (define @t84 () (tptp.v1_funct_1 @t4)) % 10.61/10.87 (define @t85 () (and @t84 @t83 @t82 @t81 @t80 @t79)) % 10.61/10.87 (define @t86 () (tptp.k14_filter_2 @t2 @t4)) % 10.61/10.87 (define @t87 () (tptp.m2_filter_2 @t86 @t2)) % 10.61/10.87 (define @t88 () (tptp.m1_filter_0 @t4 @t55)) % 10.61/10.87 (define @t89 () (and @t24 @t22 @t21 @t88)) % 10.61/10.87 (define @t90 () (forall @t34 (=> @t89 @t87))) % 10.61/10.87 (define @t91 () (tptp.k15_filter_2 @t2 @t4)) % 10.61/10.87 (define @t92 () (tptp.m2_filter_2 @t4 @t2)) % 10.61/10.87 (define @t93 () (and @t24 @t22 @t21 @t92)) % 10.61/10.87 (define @t94 () (tptp.v3_lattices @t55)) % 10.61/10.87 (define @t95 () (and @t94 (tptp.l3_lattices @t55))) % 10.61/10.87 (define @t96 () (forall @t27 (=> @t21 @t95))) % 10.61/10.87 (define @t97 () (tptp.m1_subset_1 @t56 @t69)) % 10.61/10.87 (define @t98 () (and @t24 @t22 @t21 @t17)) % 10.61/10.87 (define @t99 () (forall @t34 (=> @t98 @t97))) % 10.61/10.87 (define @t100 () (tptp.k5_lattices @t2)) % 10.61/10.87 (define @t101 () (tptp.l1_lattices @t2)) % 10.61/10.87 (define @t102 () (tptp.l2_lattices @t2)) % 10.61/10.87 (define @t103 () (tptp.m1_subset_1 @t68 @t62)) % 10.61/10.87 (define @t104 () (and @t24 @t22 @t21 @t71)) % 10.61/10.87 (define @t105 () (forall @t34 (=> @t104 @t103))) % 10.61/10.87 (define @t106 () (tptp.l1_struct_0 @t2)) % 10.61/10.87 (define @t107 () (tptp.v1_xboole_0 @t4)) % 10.61/10.87 (define @t108 () (not @t107)) % 10.61/10.87 (define @t109 () (and @t108 @t63)) % 10.61/10.87 (define @t110 () (tptp.m1_filter_0 @t4 @t2)) % 10.61/10.87 (define @t111 () (forall @t19 (=> @t110 @t109))) % 10.61/10.87 (define @t112 () (=> @t25 @t111)) % 10.61/10.87 (define @t113 () (forall @t27 @t112)) % 10.61/10.87 (define @t114 () (tptp.m2_lattice4 @t4 @t2)) % 10.61/10.87 (define @t115 () (and @t108 @t114)) % 10.61/10.87 (define @t116 () (tptp.m1_filter_2 @t4 @t2)) % 10.61/10.87 (define @t117 () (tptp.m2_relset_1 @t1 @t2 @t4)) % 10.61/10.87 (define @t118 () (tptp.k2_zfmisc_1 @t16 @t16)) % 10.61/10.87 (define @t119 () (tptp.v1_funct_2 @t30 @t118 @t16)) % 10.61/10.87 (define @t120 () (tptp.v1_funct_1 @t30)) % 10.61/10.87 (define @t121 () (tptp.v1_funct_2 @t31 @t118 @t16)) % 10.61/10.87 (define @t122 () (tptp.v1_funct_1 @t31)) % 10.61/10.87 (define @t123 () (tptp.m1_relset_1 @t1 @t2 @t4)) % 10.61/10.87 (define @t124 () (not (tptp.v3_struct_0 @t55))) % 10.61/10.87 (define @t125 () (and @t124 @t94)) % 10.61/10.87 (define @t126 () (and @t24 @t21)) % 10.61/10.87 (define @t127 () (forall @t27 (=> @t126 @t125))) % 10.61/10.87 (define @t128 () (and @t24 @t106)) % 10.61/10.87 (define @t129 () (tptp.k1_zfmisc_1 @t2)) % 10.61/10.87 (define @t130 () (tptp.v1_partfun1 @t31 @t118 @t16)) % 10.61/10.87 (define @t131 () (tptp.v1_relat_1 @t31)) % 10.61/10.87 (define @t132 () (not @t36)) % 10.61/10.87 (define @t133 () (tptp.v1_partfun1 @t30 @t118 @t16)) % 10.61/10.87 (define @t134 () (tptp.v1_relat_1 @t30)) % 10.61/10.87 (define @t135 () (and @t124 @t94 (tptp.v4_lattices @t55) (tptp.v5_lattices @t55) (tptp.v6_lattices @t55) (tptp.v7_lattices @t55) (tptp.v8_lattices @t55) (tptp.v9_lattices @t55) (tptp.v10_lattices @t55))) % 10.61/10.87 (define @t136 () (forall @t27 (=> @t25 @t135))) % 10.61/10.87 (define @t137 () (@var "F" $$unsorted)) % 10.61/10.87 (define @t138 () (@var "E" $$unsorted)) % 10.61/10.87 (define @t139 () (@var "D" $$unsorted)) % 10.61/10.87 (define @t140 () (tptp.m1_subset_1 @t4 @t129)) % 10.61/10.87 (define @t141 () (=> @t89 (= @t86 @t68))) % 10.61/10.87 (define @t142 () (forall @t34 @t141)) % 10.61/10.87 (define @t143 () (=> @t93 (= @t91 @t61))) % 10.61/10.87 (define @t144 () (forall @t34 @t143)) % 10.61/10.87 (define @t145 () (tptp.m1_subset_1 @t2 @t4)) % 10.61/10.87 (define @t146 () (tptp.v1_filter_0 @t1 @t2)) % 10.61/10.87 (define @t147 () (not (and @t5 @t146))) % 10.61/10.87 (define @t148 () (tptp.m1_filter_0 @t1 @t2)) % 10.61/10.87 (define @t149 () (forall @t8 (=> @t148 @t147))) % 10.61/10.87 (define @t150 () (= @t4 @t100)) % 10.61/10.87 (define @t151 () (not @t150)) % 10.61/10.87 (define @t152 () (and @t24 @t22 @t53 @t21 @t151 @t149)) % 10.61/10.87 (define @t153 () (not @t152)) % 10.61/10.87 (define @t154 () (=> @t17 @t153)) % 10.61/10.87 (define @t155 () (forall @t19 @t154)) % 10.61/10.87 (define @t156 () (=> @t25 @t155)) % 10.61/10.87 (define @t157 () (forall @t27 @t156)) % 10.61/10.87 (define @t158 () (= (tptp.r2_filter_2 @t2 @t4) (tptp.v1_filter_0 @t91 @t55))) % 10.61/10.87 (define @t159 () (forall @t19 (=> @t92 @t158))) % 10.61/10.87 (define @t160 () (=> @t25 @t159)) % 10.61/10.87 (define @t161 () (forall @t27 @t160)) % 10.61/10.87 (define @t162 () (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t1))) % 10.61/10.87 (define @t163 () (= @t13 (tptp.v13_lattices @t55))) % 10.61/10.87 (define @t164 () (forall @t27 (=> @t25 @t163))) % 10.61/10.87 (define @t165 () (= @t10 (tptp.k5_lattices @t55))) % 10.61/10.87 (define @t166 () (and @t24 @t22 @t13 @t21)) % 10.61/10.87 (define @t167 () (forall @t27 (=> @t166 @t165))) % 10.61/10.87 (define @t168 () (not @t146)) % 10.61/10.87 (define @t169 () (@var "BOUND_VARIABLE_8518" $$unsorted)) % 10.61/10.87 (define @t170 () (not @t148)) % 10.61/10.87 (define @t171 () (not (forall @t8 (or @t170 (not (tptp.r2_hidden @t169 @t1)) @t168)))) % 10.61/10.87 (define @t172 () (not (tptp.m1_subset_1 @t169 @t16))) % 10.61/10.87 (define @t173 () (not @t53)) % 10.61/10.87 (define @t174 () (not @t21)) % 10.61/10.87 (define @t175 () (not @t22)) % 10.61/10.87 (define @t176 () (= @t169 @t100)) % 10.61/10.87 (define @t177 () (or @t23 @t175 @t174 @t173 @t172 @t176 @t171)) % 10.61/10.87 (define @t178 () (or @t172 @t176 @t171)) % 10.61/10.87 (define @t179 () (or @t23 @t175 @t174 @t173 @t178)) % 10.61/10.87 (define @t180 () (@list @t2 @t169)) % 10.61/10.87 (define @t181 () (forall @t180 @t179)) % 10.61/10.87 (define @t182 () (@list @t169)) % 10.61/10.87 (define @t183 () (forall @t182 @t179)) % 10.61/10.87 (define @t184 () (forall @t182 @t178)) % 10.61/10.87 (define @t185 () (@list @t4)) % 10.61/10.87 (define @t186 () (or @t23 @t175 @t174 @t173 @t184)) % 10.61/10.87 (define @t187 () (not @t5)) % 10.61/10.87 (define @t188 () (or @t170 @t187 @t168)) % 10.61/10.87 (define @t189 () (forall @t8 @t188)) % 10.61/10.87 (define @t190 () (not @t189)) % 10.61/10.87 (define @t191 () (not @t17)) % 10.61/10.87 (define @t192 () (or @t191 @t150 @t190)) % 10.61/10.87 (define @t193 () (forall @t19 @t192)) % 10.61/10.87 (define @t194 () (or @t23 @t175 @t174 @t173 @t193)) % 10.61/10.87 (define @t195 () (or @t23 @t175 @t173 @t174 @t193)) % 10.61/10.87 (define @t196 () (or @t23 @t175 @t174)) % 10.61/10.87 (define @t197 () (not @t24)) % 10.61/10.87 (define @t198 () (or @t197 @t175 @t174)) % 10.61/10.87 (define @t199 () (not @t25)) % 10.61/10.87 (define @t200 () (or @t23 @t175 @t173 @t174 @t192)) % 10.61/10.87 (define @t201 () (or @t191 @t23 @t175 @t173 @t174 @t150 @t190)) % 10.61/10.87 (define @t202 () (not @t151)) % 10.61/10.87 (define @t203 () (or @t197 @t175 @t173 @t174 @t202 @t190)) % 10.61/10.87 (define @t204 () (not (and @t24 @t22 @t53 @t21 @t151 @t189))) % 10.61/10.87 (define @t205 () (not @t3)) % 10.61/10.87 (define @t206 () (@var "BOUND_VARIABLE_7923" $$unsorted)) % 10.61/10.87 (define @t207 () (not @t7)) % 10.61/10.87 (define @t208 () (not (forall @t8 (or @t207 (not (tptp.r2_hidden @t206 @t1)) @t205)))) % 10.61/10.87 (define @t209 () (not (tptp.m1_subset_1 @t206 @t16))) % 10.61/10.87 (define @t210 () (not @t13)) % 10.61/10.87 (define @t211 () (@list @t2 @t206)) % 10.61/10.87 (define @t212 () (forall @t211 (or @t23 @t175 @t174 @t210 @t209 (= @t10 @t206) @t208))) % 10.61/10.87 (define @t213 () (@quantifiers_skolemize @t212 0)) % 10.61/10.87 (define @t214 () (tptp.k1_lattice2 @t213)) % 10.61/10.87 (define @t215 () (@quantifiers_skolemize @t212 1)) % 10.61/10.87 (define @t216 () (tptp.k5_filter_2 @t213 @t215)) % 10.61/10.87 (define @t217 () (forall @t8 (or (not (tptp.m1_filter_0 @t1 @t214)) (not (tptp.r2_hidden @t216 @t1)) (not (tptp.v1_filter_0 @t1 @t214))))) % 10.61/10.87 (define @t218 () (not @t217)) % 10.61/10.87 (define @t219 () (tptp.k5_lattices @t214)) % 10.61/10.87 (define @t220 () (tptp.u1_struct_0 @t214)) % 10.61/10.87 (define @t221 () (tptp.m1_subset_1 @t216 @t220)) % 10.61/10.87 (define @t222 () (not @t221)) % 10.61/10.87 (define @t223 () (tptp.v13_lattices @t214)) % 10.61/10.87 (define @t224 () (not @t223)) % 10.61/10.87 (define @t225 () (tptp.l3_lattices @t214)) % 10.61/10.87 (define @t226 () (not @t225)) % 10.61/10.87 (define @t227 () (tptp.v10_lattices @t214)) % 10.61/10.87 (define @t228 () (not @t227)) % 10.61/10.87 (define @t229 () (tptp.v3_struct_0 @t214)) % 10.61/10.87 (define @t230 () (or @t229 @t228 @t226 @t224 @t222 (= @t219 @t216) @t218)) % 10.61/10.87 (define @t231 () (forall @t180 (or @t23 @t175 @t174 @t173 @t172 (= @t100 @t169) @t171))) % 10.61/10.87 (define @t232 () (= @t216 @t219)) % 10.61/10.87 (define @t233 () (or @t229 @t228 @t226 @t224 @t222 @t232 @t218)) % 10.61/10.87 (define @t234 () (@list false)) % 10.61/10.87 (define @t235 () (= @t206 @t10)) % 10.61/10.87 (define @t236 () (or @t23 @t175 @t174 @t210 @t209 @t235 @t208)) % 10.61/10.87 (define @t237 () (or @t209 @t235 @t208)) % 10.61/10.87 (define @t238 () (or @t23 @t175 @t174 @t210 @t237)) % 10.61/10.87 (define @t239 () (forall @t211 @t238)) % 10.61/10.87 (define @t240 () (@list @t206)) % 10.61/10.87 (define @t241 () (forall @t240 @t238)) % 10.61/10.87 (define @t242 () (forall @t240 @t237)) % 10.61/10.87 (define @t243 () (or @t23 @t175 @t174 @t210 @t242)) % 10.61/10.87 (define @t244 () (or @t207 @t187 @t205)) % 10.61/10.87 (define @t245 () (forall @t8 @t244)) % 10.61/10.87 (define @t246 () (not @t245)) % 10.61/10.87 (define @t247 () (or @t191 @t11 @t246)) % 10.61/10.87 (define @t248 () (forall @t19 @t247)) % 10.61/10.87 (define @t249 () (or @t23 @t175 @t174 @t210 @t248)) % 10.61/10.87 (define @t250 () (or @t210 @t248)) % 10.61/10.87 (define @t251 () (or @t210 @t247)) % 10.61/10.87 (define @t252 () (or @t191 @t210 @t11 @t246)) % 10.61/10.87 (define @t253 () (not @t12)) % 10.61/10.87 (define @t254 () (or @t210 @t253 @t246)) % 10.61/10.87 (define @t255 () (not (and @t13 @t12 @t245))) % 10.61/10.87 (define @t256 () (forall @t8 (or (not (tptp.m2_filter_2 @t1 @t213)) (not (tptp.r2_hidden @t215 @t1)) (not (tptp.r2_filter_2 @t213 @t1))))) % 10.61/10.87 (define @t257 () (not @t256)) % 10.61/10.87 (define @t258 () (tptp.k6_lattices @t213)) % 10.61/10.87 (define @t259 () (= @t215 @t258)) % 10.61/10.87 (define @t260 () (tptp.u1_struct_0 @t213)) % 10.61/10.87 (define @t261 () (tptp.m1_subset_1 @t215 @t260)) % 10.61/10.87 (define @t262 () (not @t261)) % 10.61/10.87 (define @t263 () (tptp.v14_lattices @t213)) % 10.61/10.87 (define @t264 () (not @t263)) % 10.61/10.87 (define @t265 () (tptp.l3_lattices @t213)) % 10.61/10.87 (define @t266 () (not @t265)) % 10.61/10.87 (define @t267 () (tptp.v10_lattices @t213)) % 10.61/10.87 (define @t268 () (not @t267)) % 10.61/10.87 (define @t269 () (tptp.v3_struct_0 @t213)) % 10.61/10.87 (define @t270 () (or @t269 @t268 @t266 @t264 @t262 @t259 @t257)) % 10.61/10.87 (define @t271 () (not @t270)) % 10.61/10.87 (define @t272 () (not @t212)) % 10.61/10.87 (define @t273 () (or @t269 @t268 @t266 @t264 @t262 (= @t258 @t215) @t257)) % 10.61/10.87 (define @t274 () (not @t273)) % 10.61/10.87 (define @t275 () (@list true)) % 10.61/10.87 (define @t276 () (@list @t270)) % 10.61/10.87 (define @t277 () (or @t197 @t175 @t210 @t174)) % 10.61/10.87 (define @t278 () (@list @t213)) % 10.61/10.87 (define @t279 () (= @t258 @t219)) % 10.61/10.87 (define @t280 () (or @t269 @t268 @t264 @t266 @t279)) % 10.61/10.87 (define @t281 () (@list true false false false false)) % 10.61/10.87 (define @t282 () (@var "BOUND_VARIABLE_8010" $$unsorted)) % 10.61/10.87 (define @t283 () (= @t282 (tptp.k5_filter_2 @t2 @t282))) % 10.61/10.87 (define @t284 () (not (tptp.m1_subset_1 @t282 @t16))) % 10.61/10.87 (define @t285 () (or @t284 @t283)) % 10.61/10.87 (define @t286 () (or @t23 @t175 @t174 @t285)) % 10.61/10.87 (define @t287 () (forall (@list @t2 @t282) @t286)) % 10.61/10.87 (define @t288 () (@list @t282)) % 10.61/10.87 (define @t289 () (forall @t288 @t286)) % 10.61/10.87 (define @t290 () (forall @t288 @t285)) % 10.61/10.87 (define @t291 () (or @t23 @t175 @t174 @t290)) % 10.61/10.87 (define @t292 () (= @t4 @t56)) % 10.61/10.87 (define @t293 () (forall @t19 (or @t191 @t292))) % 10.61/10.87 (define @t294 () (or @t23 @t175 @t174 @t293)) % 10.61/10.87 (define @t295 () (@list @t213 @t215)) % 10.61/10.87 (define @t296 () (= @t215 @t216)) % 10.61/10.87 (define @t297 () (or @t269 @t268 @t266 @t262 @t296)) % 10.61/10.87 (define @t298 () (or @t197 @t175 @t174 @t191)) % 10.61/10.87 (define @t299 () (or @t269 @t268 @t266 @t262 @t221)) % 10.61/10.87 (define @t300 () (tptp.v3_lattices @t214)) % 10.61/10.87 (define @t301 () (and @t300 @t225)) % 10.61/10.87 (define @t302 () (or @t266 @t301)) % 10.61/10.87 (define @t303 () (@list false false)) % 10.61/10.87 (define @t304 () (= @t263 @t223)) % 10.61/10.87 (define @t305 () (or @t269 @t268 @t266 @t304)) % 10.61/10.87 (define @t306 () (@list true false false false)) % 10.61/10.87 (define @t307 () (not @t229)) % 10.61/10.87 (define @t308 () (and @t307 @t300 (tptp.v4_lattices @t214) (tptp.v5_lattices @t214) (tptp.v6_lattices @t214) (tptp.v7_lattices @t214) (tptp.v8_lattices @t214) (tptp.v9_lattices @t214) @t227)) % 10.61/10.87 (define @t309 () (or @t269 @t268 @t266 @t308)) % 10.61/10.87 (define @t310 () (and @t307 @t300)) % 10.61/10.87 (define @t311 () (or @t269 @t266 @t310)) % 10.61/10.87 (define @t312 () (@quantifiers_skolemize @t217 0)) % 10.61/10.87 (define @t313 () (tptp.v1_filter_0 @t312 @t214)) % 10.61/10.87 (define @t314 () (not @t313)) % 10.61/10.87 (define @t315 () (tptp.r2_hidden @t216 @t312)) % 10.61/10.87 (define @t316 () (not @t315)) % 10.61/10.87 (define @t317 () (tptp.m1_filter_0 @t312 @t214)) % 10.61/10.87 (define @t318 () (not @t317)) % 10.61/10.87 (define @t319 () (or @t318 @t316 @t314)) % 10.61/10.87 (define @t320 () (@list @t319)) % 10.61/10.87 (define @t321 () (@var "BOUND_VARIABLE_8056" $$unsorted)) % 10.61/10.87 (define @t322 () (= @t321 (tptp.k8_filter_2 @t2 @t321))) % 10.61/10.87 (define @t323 () (not (tptp.m1_subset_1 @t321 @t70))) % 10.61/10.87 (define @t324 () (or @t323 @t322)) % 10.61/10.87 (define @t325 () (or @t23 @t175 @t174 @t324)) % 10.61/10.87 (define @t326 () (forall (@list @t2 @t321) @t325)) % 10.61/10.87 (define @t327 () (@list @t321)) % 10.61/10.87 (define @t328 () (forall @t327 @t325)) % 10.61/10.87 (define @t329 () (forall @t327 @t324)) % 10.61/10.87 (define @t330 () (or @t23 @t175 @t174 @t329)) % 10.61/10.87 (define @t331 () (= @t4 @t68)) % 10.61/10.87 (define @t332 () (not @t71)) % 10.61/10.87 (define @t333 () (forall @t19 (or @t332 @t331))) % 10.61/10.87 (define @t334 () (or @t23 @t175 @t174 @t333)) % 10.61/10.87 (define @t335 () (@list @t213 @t312)) % 10.61/10.87 (define @t336 () (@var "BOUND_VARIABLE_8138" $$unsorted)) % 10.61/10.87 (define @t337 () (and (not (tptp.v1_xboole_0 @t336)) (tptp.m1_subset_1 @t336 @t62))) % 10.61/10.87 (define @t338 () (not (tptp.m1_filter_0 @t336 @t2))) % 10.61/10.87 (define @t339 () (or @t338 @t337)) % 10.61/10.87 (define @t340 () (or @t23 @t175 @t174 @t339)) % 10.61/10.87 (define @t341 () (forall (@list @t2 @t336) @t340)) % 10.61/10.87 (define @t342 () (@list @t336)) % 10.61/10.87 (define @t343 () (forall @t342 @t340)) % 10.61/10.87 (define @t344 () (forall @t342 @t339)) % 10.61/10.87 (define @t345 () (or @t23 @t175 @t174 @t344)) % 10.61/10.87 (define @t346 () (forall @t19 (or (not @t110) @t109))) % 10.61/10.87 (define @t347 () (or @t23 @t175 @t174 @t346)) % 10.61/10.87 (define @t348 () (tptp.m1_subset_1 @t312 (tptp.k1_zfmisc_1 @t220))) % 10.61/10.87 (define @t349 () (and (not (tptp.v1_xboole_0 @t312)) @t348)) % 10.61/10.87 (define @t350 () (or @t229 @t228 @t226 @t318 @t349)) % 10.61/10.87 (define @t351 () (tptp.k8_filter_2 @t213 @t312)) % 10.61/10.87 (define @t352 () (= @t312 @t351)) % 10.61/10.87 (define @t353 () (not @t348)) % 10.61/10.87 (define @t354 () (or @t269 @t268 @t266 @t353 @t352)) % 10.61/10.87 (define @t355 () (@var "BOUND_VARIABLE_8033" $$unsorted)) % 10.61/10.87 (define @t356 () (= @t355 (tptp.k7_filter_2 @t2 @t355))) % 10.61/10.87 (define @t357 () (not (tptp.m1_subset_1 @t355 @t62))) % 10.61/10.87 (define @t358 () (or @t357 @t356)) % 10.61/10.87 (define @t359 () (or @t23 @t175 @t174 @t358)) % 10.61/10.87 (define @t360 () (forall (@list @t2 @t355) @t359)) % 10.61/10.87 (define @t361 () (@list @t355)) % 10.61/10.87 (define @t362 () (forall @t361 @t359)) % 10.61/10.87 (define @t363 () (forall @t361 @t358)) % 10.61/10.87 (define @t364 () (or @t23 @t175 @t174 @t363)) % 10.61/10.87 (define @t365 () (= @t4 @t61)) % 10.61/10.87 (define @t366 () (forall @t19 (or (not @t63) @t365))) % 10.61/10.87 (define @t367 () (or @t23 @t175 @t174 @t366)) % 10.61/10.87 (define @t368 () (or @t197 @t175 @t174 @t332)) % 10.61/10.87 (define @t369 () (tptp.m1_subset_1 @t351 (tptp.k1_zfmisc_1 @t260))) % 10.61/10.87 (define @t370 () (or @t269 @t268 @t266 @t353 @t369)) % 10.61/10.87 (define @t371 () (= @t351 (tptp.k7_filter_2 @t213 @t351))) % 10.61/10.87 (define @t372 () (not @t369)) % 10.61/10.87 (define @t373 () (or @t269 @t268 @t266 @t372 @t371)) % 10.61/10.87 (define @t374 () (= @t68 @t86)) % 10.61/10.87 (define @t375 () (not @t88)) % 10.61/10.87 (define @t376 () (or @t23 @t175 @t174 @t375 @t374)) % 10.61/10.87 (define @t377 () (or @t23 @t175 @t174 @t375)) % 10.61/10.87 (define @t378 () (or @t197 @t175 @t174 @t375)) % 10.61/10.87 (define @t379 () (not @t89)) % 10.61/10.87 (define @t380 () (tptp.k14_filter_2 @t213 @t312)) % 10.61/10.87 (define @t381 () (or @t269 @t268 @t266 @t318 (= @t351 @t380))) % 10.61/10.87 (define @t382 () (forall @t34 @t376)) % 10.61/10.87 (define @t383 () (= @t380 @t351)) % 10.61/10.87 (define @t384 () (or @t269 @t268 @t266 @t318 @t383)) % 10.61/10.87 (define @t385 () (tptp.k7_filter_2 @t213 @t380)) % 10.61/10.87 (define @t386 () (= @t61 @t91)) % 10.61/10.87 (define @t387 () (not @t92)) % 10.61/10.87 (define @t388 () (or @t23 @t175 @t174 @t387 @t386)) % 10.61/10.87 (define @t389 () (or @t197 @t175 @t174 @t387)) % 10.61/10.87 (define @t390 () (tptp.k15_filter_2 @t213 @t380)) % 10.61/10.87 (define @t391 () (tptp.m2_filter_2 @t380 @t213)) % 10.61/10.87 (define @t392 () (not @t391)) % 10.61/10.87 (define @t393 () (or @t269 @t268 @t266 @t392 (= @t385 @t390))) % 10.61/10.87 (define @t394 () (forall @t34 @t388)) % 10.61/10.87 (define @t395 () (@list @t213 @t380)) % 10.61/10.87 (define @t396 () (= @t390 @t385)) % 10.61/10.87 (define @t397 () (or @t269 @t268 @t266 @t392 @t396)) % 10.61/10.87 (define @t398 () (or @t269 @t268 @t266 @t318 @t391)) % 10.61/10.87 (define @t399 () (tptp.v1_filter_0 @t390 @t214)) % 10.61/10.87 (define @t400 () (@var "BOUND_VARIABLE_8547" $$unsorted)) % 10.61/10.87 (define @t401 () (= (tptp.r2_filter_2 @t2 @t400) (tptp.v1_filter_0 (tptp.k15_filter_2 @t2 @t400) @t55))) % 10.61/10.87 (define @t402 () (not (tptp.m2_filter_2 @t400 @t2))) % 10.61/10.87 (define @t403 () (or @t402 @t401)) % 10.61/10.87 (define @t404 () (or @t23 @t175 @t174 @t403)) % 10.61/10.87 (define @t405 () (forall (@list @t2 @t400) @t404)) % 10.61/10.87 (define @t406 () (@list @t400)) % 10.61/10.87 (define @t407 () (forall @t406 @t404)) % 10.61/10.87 (define @t408 () (forall @t406 @t403)) % 10.61/10.87 (define @t409 () (or @t23 @t175 @t174 @t408)) % 10.61/10.87 (define @t410 () (forall @t19 (or @t387 @t158))) % 10.61/10.87 (define @t411 () (or @t23 @t175 @t174 @t410)) % 10.61/10.87 (define @t412 () (tptp.r2_filter_2 @t213 @t380)) % 10.61/10.87 (define @t413 () (= @t412 @t399)) % 10.61/10.87 (define @t414 () (or @t269 @t268 @t266 @t392 @t413)) % 10.61/10.87 (define @t415 () (tptp.r2_hidden @t215 @t380)) % 10.61/10.87 (define @t416 () (not @t412)) % 10.61/10.87 (define @t417 () (not @t415)) % 10.61/10.87 (define @t418 () (or @t392 @t417 @t416)) % 10.61/10.87 (define @t419 () (not @t399)) % 10.61/10.87 (assume @p1 @t29) % 10.61/10.87 (assume @p2 (forall @t27 (=> @t21 (=> @t32 (= @t2 (tptp.g3_lattices @t16 @t31 @t30)))))) % 10.61/10.87 (assume @p3 (forall @t34 (=> @t33 (not (tptp.r2_hidden @t4 @t2))))) % 10.61/10.87 (assume @p4 (forall @t27 (=> @t36 @t35))) % 10.61/10.87 (assume @p5 (forall @t27 (=> @t21 (=> @t44 @t43)))) % 10.61/10.87 (assume @p6 (forall @t47 (=> @t46 (tptp.v1_relat_1 @t1)))) % 10.61/10.87 (assume @p7 (forall @t27 (=> @t50 @t49))) % 10.61/10.87 (assume @p8 (forall @t27 (=> @t21 (=> @t43 @t44)))) % 10.61/10.87 (assume @p9 (forall @t27 (=> @t21 (=> @t54 @t52)))) % 10.61/10.87 (assume @p10 (forall @t27 (=> @t21 (=> @t52 @t54)))) % 10.61/10.87 (assume @p11 (forall @t27 (=> @t21 (= @t55 (tptp.g3_lattices @t16 @t30 @t31))))) % 10.61/10.87 (assume @p12 @t60) % 10.61/10.87 (assume @p13 @t67) % 10.61/10.87 (assume @p14 @t75) % 10.61/10.87 (assume @p15 (forall @t47 (=> @t85 (and @t77 (tptp.l3_lattices @t76))))) % 10.61/10.87 (assume @p16 @t90) % 10.61/10.87 (assume @p17 (forall @t34 (=> @t93 (tptp.m1_filter_2 @t91 @t55)))) % 10.61/10.87 (assume @p18 @t96) % 10.61/10.87 (assume @p19 true) % 10.61/10.87 (assume @p20 @t99) % 10.61/10.87 (assume @p21 (forall @t27 (=> (and @t24 @t101) (tptp.m1_subset_1 @t100 @t16)))) % 10.61/10.87 (assume @p22 (forall @t27 (=> (and @t24 @t102) (tptp.m1_subset_1 @t10 @t16)))) % 10.61/10.87 (assume @p23 (forall @t34 (=> (and @t24 @t22 @t21 @t63) (tptp.m1_subset_1 @t61 @t70)))) % 10.61/10.87 (assume @p24 @t105) % 10.61/10.87 (assume @p25 (forall @t27 (=> @t101 @t106))) % 10.61/10.87 (assume @p26 (forall @t27 (=> @t102 @t106))) % 10.61/10.87 (assume @p27 (forall @t27 (=> @t21 (and @t101 @t102)))) % 10.61/10.87 (assume @p28 @t113) % 10.61/10.87 (assume @p29 (forall @t27 (=> @t25 (forall @t19 (=> @t116 @t115))))) % 10.61/10.87 (assume @p30 (forall @t27 (=> @t25 (forall @t19 (=> @t92 @t115))))) % 10.61/10.87 (assume @p31 (forall @t27 (=> @t25 (forall @t19 (=> @t114 @t63))))) % 10.61/10.87 (assume @p32 (forall @t47 (=> @t117 @t46))) % 10.61/10.87 (assume @p33 (forall @t27 (=> @t101 (and @t120 @t119 (tptp.m2_relset_1 @t30 @t118 @t16))))) % 10.61/10.87 (assume @p34 (forall @t27 (=> @t102 (and @t122 @t121 (tptp.m2_relset_1 @t31 @t118 @t16))))) % 10.61/10.87 (assume @p35 (exists @t27 @t101)) % 10.61/10.87 (assume @p36 (exists @t27 @t106)) % 10.61/10.87 (assume @p37 (exists @t27 @t102)) % 10.61/10.87 (assume @p38 (exists @t27 @t21)) % 10.61/10.87 (assume @p39 (forall @t27 (=> @t25 (exists @t19 @t110)))) % 10.61/10.87 (assume @p40 (forall @t27 (=> @t25 (exists @t19 @t116)))) % 10.61/10.87 (assume @p41 (forall @t34 (exists @t8 @t123))) % 10.61/10.87 (assume @p42 (forall @t27 (exists @t19 (tptp.m1_subset_1 @t4 @t2)))) % 10.61/10.87 (assume @p43 (forall @t27 (=> @t25 (exists @t19 @t92)))) % 10.61/10.87 (assume @p44 (forall @t27 (=> @t25 (exists @t19 @t114)))) % 10.61/10.87 (assume @p45 (forall @t34 (exists @t8 @t117))) % 10.61/10.87 (assume @p46 (forall @t34 (=> (and @t24 @t22 @t21 @t108 @t63) (not (tptp.v1_xboole_0 @t61))))) % 10.61/10.87 (assume @p47 @t127) % 10.61/10.87 (assume @p48 (forall @t27 (=> @t128 (not (tptp.v1_xboole_0 @t16))))) % 10.61/10.87 (assume @p49 (forall @t27 (not (tptp.v1_xboole_0 @t129)))) % 10.61/10.87 (assume @p50 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 10.61/10.87 (assume @p51 (forall @t34 (=> (and @t24 @t22 @t21 @t108 @t71) (not (tptp.v1_xboole_0 @t68))))) % 10.61/10.87 (assume @p52 (forall @t27 (=> (and @t24 @t42 @t102) (and @t131 @t122 @t121 (tptp.v1_binop_1 @t31 @t16) @t130)))) % 10.61/10.87 (assume @p53 (forall @t27 (=> (and @t24 @t41 @t102) (and @t131 @t122 @t121 (tptp.v2_binop_1 @t31 @t16) @t130)))) % 10.61/10.87 (assume @p54 (forall @t47 (=> (and @t132 @t84 @t83 @t82 @t81 @t80 @t79) (and (not (tptp.v3_struct_0 @t76)) @t77)))) % 10.61/10.87 (assume @p55 (forall @t27 (=> (and @t24 @t40 @t101) (and @t134 @t120 @t119 (tptp.v1_binop_1 @t30 @t16) @t133)))) % 10.61/10.87 (assume @p56 (forall @t34 (=> (and @t132 @t108) (not (tptp.v1_xboole_0 @t45))))) % 10.61/10.87 (assume @p57 (forall @t27 (=> (and @t24 @t39 @t101) (and @t134 @t120 @t119 (tptp.v2_binop_1 @t30 @t16) @t133)))) % 10.61/10.87 (assume @p58 @t136) % 10.61/10.87 (assume @p59 (forall @t47 (=> @t85 (forall (@list @t139 @t138 @t137) (=> (= @t76 (tptp.g3_lattices @t139 @t138 @t137)) (and (= @t2 @t139) (= @t4 @t138) (= @t1 @t137))))))) % 10.61/10.87 (assume @p60 (exists @t27 (and @t21 @t24 @t32 @t42 @t41 @t40 @t39 @t38 @t37 @t22 @t53 @t13 @t51))) % 10.61/10.87 (assume @p61 (exists @t27 (and @t48 @t35))) % 10.61/10.87 (assume @p62 (forall @t27 (=> @t25 (exists @t19 (and @t114 @t108))))) % 10.61/10.87 (assume @p63 (forall @t27 (=> @t132 (exists @t19 (and @t140 @t108))))) % 10.61/10.87 (assume @p64 (exists @t27 @t36)) % 10.61/10.87 (assume @p65 (exists @t27 @t50)) % 10.61/10.87 (assume @p66 (forall @t27 (exists @t19 (and @t140 @t107)))) % 10.61/10.87 (assume @p67 (exists @t27 @t132)) % 10.61/10.87 (assume @p68 (exists @t27 @t49)) % 10.61/10.87 (assume @p69 (exists @t27 (and @t21 @t32))) % 10.61/10.87 (assume @p70 (exists @t27 (and @t106 @t24))) % 10.61/10.87 (assume @p71 (forall @t27 (=> @t128 (exists @t19 (and @t63 @t108))))) % 10.61/10.87 (assume @p72 (exists @t27 (and @t21 @t24 @t32))) % 10.61/10.87 (assume @p73 (exists @t27 (and @t21 @t24 @t32 @t42 @t41 @t40 @t39 @t38 @t37 @t22))) % 10.61/10.87 (assume @p74 @t142) % 10.61/10.87 (assume @p75 @t144) % 10.61/10.87 (assume @p76 (forall @t27 (=> @t25 (forall @t19 (= @t116 @t110))))) % 10.61/10.87 (assume @p77 (forall @t47 (= @t117 @t123))) % 10.61/10.87 (assume @p78 (forall @t34 (tptp.r1_tarski @t2 @t2))) % 10.61/10.87 (assume @p79 (forall @t34 (=> @t33 @t145))) % 10.61/10.87 (assume @p80 @t157) % 10.61/10.87 (assume @p81 (forall @t34 (=> @t145 (or @t107 @t33)))) % 10.61/10.87 (assume @p82 @t161) % 10.61/10.87 (assume @p83 (forall @t34 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t4)) (tptp.r1_tarski @t2 @t4)))) % 10.61/10.87 (assume @p84 (forall @t47 (=> (and @t33 @t162) (tptp.m1_subset_1 @t2 @t1)))) % 10.61/10.87 (assume @p85 (forall @t47 (not (and @t33 @t162 (tptp.v1_xboole_0 @t1))))) % 10.61/10.87 (assume @p86 @t164) % 10.61/10.87 (assume @p87 (forall @t27 (=> @t36 (= @t2 tptp.k1_xboole_0)))) % 10.61/10.87 (assume @p88 @t167) % 10.61/10.87 (assume @p89 (forall @t34 (not (and @t33 @t107)))) % 10.61/10.87 (assume @p90 (forall @t34 (not (and @t36 (not (= @t2 @t4)) @t107)))) % 10.61/10.87 (step @p91 :rule evaluate :args ((= false true))) % 10.61/10.87 (step @p92 :rule refl :args (@t171)) % 10.61/10.87 (step @p93 :rule eq-symm :args (@t169 @t100)) % 10.61/10.87 (step @p94 :rule refl :args (@t172)) % 10.61/10.87 (step @p95 :rule refl :args (@t173)) % 10.61/10.87 (step @p96 :rule refl :args (@t174)) % 10.61/10.87 (step @p97 :rule refl :args (@t175)) % 10.61/10.87 (step @p98 :rule refl :args (@t23)) % 10.61/10.87 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96 @p95 @p94 @p93 @p92) :args (@t177)) % 10.61/10.87 (step @p100 :rule aci_norm :args ((= @t179 @t177))) % 10.61/10.87 (step @p101 :rule trans :premises (@p100 @p99)) % 10.61/10.87 (step @p102 :rule cong :premises (@p101) :args (@t181)) % 10.61/10.87 (step @p103 :rule quant-merge-prenex :args ((= (forall @t27 @t183) @t181))) % 10.61/10.87 (step @p104 :rule alpha_equiv :args (@t184 (@list @t169) @t185)) % 10.61/10.87 (step @p105 :rule refl :args (@t173)) % 10.61/10.87 (step @p106 :rule refl :args (@t174)) % 10.61/10.87 (step @p107 :rule refl :args (@t175)) % 10.61/10.87 (step @p108 :rule refl :args (@t23)) % 10.61/10.87 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p105 @p104) :args (@t186)) % 10.61/10.87 (step @p110 :rule quant-miniscope-or :args ((= @t183 @t186))) % 10.61/10.87 (step @p111 :rule trans :premises (@p110 @p109)) % 10.61/10.87 (step @p112 :rule symm :premises (@p111)) % 10.61/10.87 (step @p113 :rule cong :premises (@p112) :args ((forall @t27 @t194))) % 10.61/10.87 (step @p114 :rule trans :premises (@p113 @p103)) % 10.61/10.87 (step @p115 :rule trans :premises (@p114 @p102)) % 10.61/10.87 (step @p116 :rule aci_norm :args ((= (or @t196 @t195) @t194))) % 10.61/10.87 (step @p117 :rule refl :args (@t195)) % 10.61/10.87 (step @p118 :rule bool-double-not-elim :args (@t23)) % 10.61/10.87 (step @p119 :rule nary_cong :premises (@p118 @p107 @p106) :args (@t198)) % 10.61/10.87 (step @p120 :rule aci_norm :args ((= (or @t197 (or @t175 @t174)) @t198))) % 10.61/10.87 (step @p121 :rule trans :premises (@p120 @p119)) % 10.61/10.87 (step @p122 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 10.61/10.87 (step @p123 :rule refl :args (@t197)) % 10.61/10.87 (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or @t197 (not (and @t22 @t21))))) % 10.61/10.87 (step @p125 :rule bool-and-de-morgan :args (@t24 @t22 (and @t21))) % 10.61/10.87 (step @p126 :rule trans :premises (@p125 @p124)) % 10.61/10.87 (step @p127 :rule trans :premises (@p126 @p121)) % 10.61/10.87 (step @p128 :rule nary_cong :premises (@p127 @p117) :args ((or @t199 @t195))) % 10.61/10.87 (step @p129 :rule trans :premises (@p128 @p116)) % 10.61/10.87 (step @p130 :rule bool-impl-elim :args (@t25 @t195)) % 10.61/10.87 (step @p131 :rule trans :premises (@p130 @p129)) % 10.61/10.87 (step @p132 :rule cong :premises (@p131) :args ((forall @t27 (=> @t25 @t195)))) % 10.61/10.87 (step @p133 :rule trans :premises (@p132 @p115)) % 10.61/10.87 (step @p134 :rule quant-miniscope-or :args ((= (forall @t19 @t200) @t195))) % 10.61/10.87 (step @p135 :rule aci_norm :args ((= @t201 @t200))) % 10.61/10.87 (step @p136 :rule cong :premises (@p135) :args ((forall @t19 @t201))) % 10.61/10.87 (step @p137 :rule trans :premises (@p136 @p134)) % 10.61/10.87 (step @p138 :rule aci_norm :args ((= (or @t191 (or @t23 @t175 @t173 @t174 @t150 @t190)) @t201))) % 10.61/10.87 (step @p139 :rule refl :args (@t190)) % 10.61/10.87 (step @p140 :rule bool-double-not-elim :args (@t150)) % 10.61/10.87 (step @p141 :rule nary_cong :premises (@p118 @p107 @p105 @p106 @p140 @p139) :args (@t203)) % 10.61/10.87 (step @p142 :rule aci_norm :args ((= (or @t197 (or @t175 (or @t173 (or @t174 (or @t202 @t190))))) @t203))) % 10.61/10.87 (step @p143 :rule trans :premises (@p142 @p141)) % 10.61/10.87 (step @p144 :rule bool-and-de-morgan :args (@t151 @t189 true)) % 10.61/10.87 (step @p145 :rule nary_cong :premises (@p106 @p144) :args ((or @t174 (not (and @t151 @t189))))) % 10.61/10.87 (step @p146 :rule bool-and-de-morgan :args (@t21 @t151 (and @t189))) % 10.61/10.87 (step @p147 :rule trans :premises (@p146 @p145)) % 10.61/10.87 (step @p148 :rule nary_cong :premises (@p105 @p147) :args ((or @t173 (not (and @t21 @t151 @t189))))) % 10.61/10.87 (step @p149 :rule bool-and-de-morgan :args (@t53 @t21 (and @t151 @t189))) % 10.61/10.87 (step @p150 :rule trans :premises (@p149 @p148)) % 10.61/10.87 (step @p151 :rule nary_cong :premises (@p107 @p150) :args ((or @t175 (not (and @t53 @t21 @t151 @t189))))) % 10.61/10.87 (step @p152 :rule bool-and-de-morgan :args (@t22 @t53 (and @t21 @t151 @t189))) % 10.61/10.87 (step @p153 :rule trans :premises (@p152 @p151)) % 10.61/10.87 (step @p154 :rule nary_cong :premises (@p123 @p153) :args ((or @t197 (not (and @t22 @t53 @t21 @t151 @t189))))) % 10.61/10.87 (step @p155 :rule bool-and-de-morgan :args (@t24 @t22 (and @t53 @t21 @t151 @t189))) % 10.61/10.87 (step @p156 :rule trans :premises (@p155 @p154)) % 10.61/10.87 (step @p157 :rule trans :premises (@p156 @p143)) % 10.61/10.87 (step @p158 :rule refl :args (@t191)) % 10.61/10.87 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or @t191 @t204))) % 10.61/10.87 (step @p160 :rule trans :premises (@p159 @p138)) % 10.61/10.87 (step @p161 :rule bool-impl-elim :args (@t17 @t204)) % 10.61/10.87 (step @p162 :rule trans :premises (@p161 @p160)) % 10.61/10.87 (step @p163 :rule cong :premises (@p162) :args ((forall @t19 (=> @t17 @t204)))) % 10.61/10.87 (step @p164 :rule trans :premises (@p163 @p137)) % 10.61/10.87 (step @p165 :rule aci_norm :args ((= (or @t170 (or @t187 @t168)) @t188))) % 10.61/10.87 (step @p166 :rule bool-and-de-morgan :args (@t5 @t146 true)) % 10.61/10.87 (step @p167 :rule refl :args (@t170)) % 10.61/10.87 (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or @t170 @t147))) % 10.61/10.87 (step @p169 :rule trans :premises (@p168 @p165)) % 10.61/10.87 (step @p170 :rule bool-impl-elim :args (@t148 @t147)) % 10.61/10.87 (step @p171 :rule trans :premises (@p170 @p169)) % 10.61/10.87 (step @p172 :rule cong :premises (@p171) :args (@t149)) % 10.61/10.87 (step @p173 :rule refl :args (@t151)) % 10.61/10.87 (step @p174 :rule refl :args (@t21)) % 10.61/10.87 (step @p175 :rule refl :args (@t53)) % 10.61/10.87 (step @p176 :rule refl :args (@t22)) % 10.61/10.87 (step @p177 :rule refl :args (@t24)) % 10.61/10.87 (step @p178 :rule nary_cong :premises (@p177 @p176 @p175 @p174 @p173 @p172) :args (@t152)) % 10.61/10.87 (step @p179 :rule cong :premises (@p178) :args (@t153)) % 10.61/10.87 (step @p180 :rule refl :args (@t17)) % 10.61/10.87 (step @p181 :rule cong :premises (@p180 @p179) :args (@t154)) % 10.61/10.87 (step @p182 :rule cong :premises (@p181) :args (@t155)) % 10.61/10.87 (step @p183 :rule trans :premises (@p182 @p164)) % 10.61/10.87 (step @p184 :rule refl :args (@t25)) % 10.61/10.87 (step @p185 :rule cong :premises (@p184 @p183) :args (@t156)) % 10.61/10.87 (step @p186 :rule cong :premises (@p185) :args (@t157)) % 10.61/10.87 (step @p187 :rule trans :premises (@p186 @p133)) % 10.61/10.87 (step @p188 :rule eq_resolve :premises (@p80 @p187)) % 10.61/10.87 (step @p189 :rule refl :args (@t218)) % 10.61/10.87 (step @p190 :rule eq-symm :args (@t219 @t216)) % 10.61/10.87 (step @p191 :rule refl :args (@t222)) % 10.61/10.87 (step @p192 :rule refl :args (@t224)) % 10.61/10.87 (step @p193 :rule refl :args (@t226)) % 10.61/10.87 (step @p194 :rule refl :args (@t228)) % 10.61/10.87 (step @p195 :rule refl :args (@t229)) % 10.61/10.87 (step @p196 :rule nary_cong :premises (@p195 @p194 @p193 @p192 @p191 @p190 @p189) :args (@t230)) % 10.61/10.87 (step @p197 :rule refl :args (@t231)) % 10.61/10.87 (step @p198 :rule cong :premises (@p197 @p196) :args ((=> @t231 @t230))) % 10.61/10.87 (assume-push @p765 @t231) % 10.61/10.87 (step @p200 :rule instantiate :premises (@p188) :args ((@list @t214 @t216))) % 10.61/10.87 (step-pop @p766 :rule scope :premises (@p200)) % 10.61/10.87 (step @p201 :rule process_scope :premises (@p766) :args (@t230)) % 10.61/10.87 (step @p203 :rule eq_resolve :premises (@p201 @p198)) % 10.61/10.87 (step @p204 :rule implies_elim :premises (@p203)) % 10.61/10.87 (step @p205 :rule chain_m_resolution :premises (@p204 @p188) :args (@t233 @t234 (@list @t231))) % 10.61/10.87 (step @p206 :rule refl :args (@t208)) % 10.61/10.87 (step @p207 :rule eq-symm :args (@t206 @t10)) % 10.61/10.87 (step @p208 :rule refl :args (@t209)) % 10.61/10.87 (step @p209 :rule refl :args (@t210)) % 10.61/10.87 (step @p210 :rule nary_cong :premises (@p98 @p97 @p96 @p209 @p208 @p207 @p206) :args (@t236)) % 10.61/10.87 (step @p211 :rule aci_norm :args ((= @t238 @t236))) % 10.61/10.87 (step @p212 :rule trans :premises (@p211 @p210)) % 10.61/10.87 (step @p213 :rule cong :premises (@p212) :args (@t239)) % 10.61/10.87 (step @p214 :rule quant-merge-prenex :args ((= (forall @t27 @t241) @t239))) % 10.61/10.87 (step @p215 :rule alpha_equiv :args (@t242 (@list @t206) @t185)) % 10.61/10.87 (step @p216 :rule refl :args (@t210)) % 10.61/10.87 (step @p217 :rule nary_cong :premises (@p108 @p107 @p106 @p216 @p215) :args (@t243)) % 10.61/10.87 (step @p218 :rule quant-miniscope-or :args ((= @t241 @t243))) % 10.61/10.87 (step @p219 :rule trans :premises (@p218 @p217)) % 10.61/10.87 (step @p220 :rule symm :premises (@p219)) % 10.61/10.87 (step @p221 :rule cong :premises (@p220) :args ((forall @t27 @t249))) % 10.61/10.87 (step @p222 :rule trans :premises (@p221 @p214)) % 10.61/10.87 (step @p223 :rule trans :premises (@p222 @p213)) % 10.61/10.87 (step @p224 :rule aci_norm :args ((= (or @t196 @t250) @t249))) % 10.61/10.87 (step @p225 :rule refl :args (@t250)) % 10.61/10.87 (step @p226 :rule nary_cong :premises (@p127 @p225) :args ((or @t199 @t250))) % 10.61/10.87 (step @p227 :rule trans :premises (@p226 @p224)) % 10.61/10.87 (step @p228 :rule bool-impl-elim :args (@t25 @t250)) % 10.61/10.87 (step @p229 :rule trans :premises (@p228 @p227)) % 10.61/10.87 (step @p230 :rule cong :premises (@p229) :args ((forall @t27 (=> @t25 @t250)))) % 10.61/10.87 (step @p231 :rule trans :premises (@p230 @p223)) % 10.61/10.87 (step @p232 :rule quant-miniscope-or :args ((= (forall @t19 @t251) @t250))) % 10.61/10.87 (step @p233 :rule aci_norm :args ((= @t252 @t251))) % 10.61/10.87 (step @p234 :rule cong :premises (@p233) :args ((forall @t19 @t252))) % 10.61/10.87 (step @p235 :rule trans :premises (@p234 @p232)) % 10.61/10.87 (step @p236 :rule aci_norm :args ((= (or @t191 (or @t210 @t11 @t246)) @t252))) % 10.61/10.87 (step @p237 :rule refl :args (@t246)) % 10.61/10.87 (step @p238 :rule bool-double-not-elim :args (@t11)) % 10.61/10.87 (step @p239 :rule nary_cong :premises (@p216 @p238 @p237) :args (@t254)) % 10.61/10.87 (step @p240 :rule aci_norm :args ((= (or @t210 (or @t253 @t246)) @t254))) % 10.61/10.87 (step @p241 :rule trans :premises (@p240 @p239)) % 10.61/10.87 (step @p242 :rule bool-and-de-morgan :args (@t12 @t245 true)) % 10.61/10.87 (step @p243 :rule nary_cong :premises (@p216 @p242) :args ((or @t210 (not (and @t12 @t245))))) % 10.61/10.87 (step @p244 :rule bool-and-de-morgan :args (@t13 @t12 (and @t245))) % 10.61/10.87 (step @p245 :rule trans :premises (@p244 @p243)) % 10.61/10.87 (step @p246 :rule trans :premises (@p245 @p241)) % 10.61/10.87 (step @p247 :rule nary_cong :premises (@p158 @p246) :args ((or @t191 @t255))) % 10.61/10.87 (step @p248 :rule trans :premises (@p247 @p236)) % 10.61/10.87 (step @p249 :rule bool-impl-elim :args (@t17 @t255)) % 10.61/10.87 (step @p250 :rule trans :premises (@p249 @p248)) % 10.61/10.87 (step @p251 :rule cong :premises (@p250) :args ((forall @t19 (=> @t17 @t255)))) % 10.61/10.87 (step @p252 :rule trans :premises (@p251 @p235)) % 10.61/10.87 (step @p253 :rule aci_norm :args ((= (or @t207 (or @t187 @t205)) @t244))) % 10.61/10.87 (step @p254 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 10.61/10.87 (step @p255 :rule refl :args (@t207)) % 10.61/10.87 (step @p256 :rule nary_cong :premises (@p255 @p254) :args ((or @t207 @t6))) % 10.61/10.87 (step @p257 :rule trans :premises (@p256 @p253)) % 10.61/10.87 (step @p258 :rule bool-impl-elim :args (@t7 @t6)) % 10.61/10.87 (step @p259 :rule trans :premises (@p258 @p257)) % 10.61/10.87 (step @p260 :rule cong :premises (@p259) :args (@t9)) % 10.61/10.87 (step @p261 :rule refl :args (@t12)) % 10.61/10.87 (step @p262 :rule refl :args (@t13)) % 10.61/10.87 (step @p263 :rule nary_cong :premises (@p262 @p261 @p260) :args (@t14)) % 10.61/10.87 (step @p264 :rule cong :premises (@p263) :args (@t15)) % 10.61/10.87 (step @p265 :rule cong :premises (@p180 @p264) :args (@t18)) % 10.61/10.87 (step @p266 :rule cong :premises (@p265) :args (@t20)) % 10.61/10.87 (step @p267 :rule trans :premises (@p266 @p252)) % 10.61/10.87 (step @p268 :rule cong :premises (@p184 @p267) :args (@t26)) % 10.61/10.87 (step @p269 :rule cong :premises (@p268) :args (@t28)) % 10.61/10.87 (step @p270 :rule trans :premises (@p269 @p231)) % 10.61/10.87 (step @p271 :rule cong :premises (@p270) :args (@t29)) % 10.61/10.87 (step @p272 :rule eq_resolve :premises (@p1 @p271)) % 10.61/10.87 (step @p273 :rule refl :args (@t271)) % 10.61/10.87 (step @p274 :rule bool-double-not-elim :args (@t212)) % 10.61/10.87 (step @p275 :rule nary_cong :premises (@p274 @p273) :args ((or (not @t272) @t271))) % 10.61/10.87 (step @p276 :rule refl :args (@t257)) % 10.61/10.87 (step @p277 :rule eq-symm :args (@t258 @t215)) % 10.61/10.87 (step @p278 :rule refl :args (@t262)) % 10.61/10.87 (step @p279 :rule refl :args (@t264)) % 10.61/10.87 (step @p280 :rule refl :args (@t266)) % 10.61/10.87 (step @p281 :rule refl :args (@t268)) % 10.61/10.87 (step @p282 :rule refl :args (@t269)) % 10.61/10.87 (step @p283 :rule nary_cong :premises (@p282 @p281 @p280 @p279 @p278 @p277 @p276) :args (@t273)) % 10.61/10.87 (step @p284 :rule cong :premises (@p283) :args (@t274)) % 10.61/10.87 (step @p285 :rule refl :args (@t272)) % 10.61/10.87 (step @p286 :rule cong :premises (@p285 @p284) :args ((=> @t272 @t274))) % 10.61/10.87 (assume-push @p767 @t272) % 10.61/10.87 (step @p288 :rule skolemize :premises (@p272)) % 10.61/10.87 (step-pop @p768 :rule scope :premises (@p288)) % 10.61/10.87 (step @p289 :rule process_scope :premises (@p768) :args (@t274)) % 10.61/10.87 (step @p291 :rule eq_resolve :premises (@p289 @p286)) % 10.61/10.87 (step @p292 :rule implies_elim :premises (@p291)) % 10.61/10.87 (step @p293 :rule eq_resolve :premises (@p292 @p275)) % 10.61/10.87 (step @p294 :rule chain_m_resolution :premises (@p293 @p272) :args (@t271 @t275 (@list @t212))) % 10.61/10.87 (step @p295 :rule cnf_or_neg :args (@t270 5)) % 10.61/10.87 (step @p296 :rule chain_m_resolution :premises (@p295 @p294) :args ((not @t259) @t275 @t276)) % 10.61/10.87 (step @p297 :rule false_intro :premises (@p296)) % 10.61/10.87 (step @p298 :rule aci_norm :args ((= (or (or @t23 @t175 @t210 @t174) @t165) (or @t23 @t175 @t210 @t174 @t165)))) % 10.61/10.87 (step @p299 :rule refl :args (@t165)) % 10.61/10.87 (step @p300 :rule nary_cong :premises (@p118 @p107 @p216 @p106) :args (@t277)) % 10.61/10.87 (step @p301 :rule aci_norm :args ((= (or @t197 (or @t175 (or @t210 @t174))) @t277))) % 10.61/10.87 (step @p302 :rule trans :premises (@p301 @p300)) % 10.61/10.87 (step @p303 :rule bool-and-de-morgan :args (@t13 @t21 true)) % 10.61/10.87 (step @p304 :rule nary_cong :premises (@p107 @p303) :args ((or @t175 (not (and @t13 @t21))))) % 10.61/10.87 (step @p305 :rule bool-and-de-morgan :args (@t22 @t13 (and @t21))) % 10.61/10.87 (step @p306 :rule trans :premises (@p305 @p304)) % 10.61/10.87 (step @p307 :rule nary_cong :premises (@p123 @p306) :args ((or @t197 (not (and @t22 @t13 @t21))))) % 10.61/10.87 (step @p308 :rule bool-and-de-morgan :args (@t24 @t22 (and @t13 @t21))) % 10.61/10.87 (step @p309 :rule trans :premises (@p308 @p307)) % 10.61/10.87 (step @p310 :rule trans :premises (@p309 @p302)) % 10.61/10.87 (step @p311 :rule nary_cong :premises (@p310 @p299) :args ((or (not @t166) @t165))) % 10.61/10.87 (step @p312 :rule trans :premises (@p311 @p298)) % 10.61/10.87 (step @p313 :rule bool-impl-elim :args (@t166 @t165)) % 10.61/10.87 (step @p314 :rule trans :premises (@p313 @p312)) % 10.61/10.87 (step @p315 :rule cong :premises (@p314) :args (@t167)) % 10.61/10.87 (step @p316 :rule eq_resolve :premises (@p88 @p315)) % 10.61/10.87 (step @p317 :rule instantiate :premises (@p316) :args (@t278)) % 10.61/10.87 (step @p318 :rule bool-double-not-elim :args (@t263)) % 10.61/10.87 (step @p319 :rule refl :args (@t270)) % 10.61/10.87 (step @p320 :rule nary_cong :premises (@p319 @p318) :args ((or @t270 (not @t264)))) % 10.61/10.87 (step @p321 :rule cnf_or_neg :args (@t270 3)) % 10.61/10.87 (step @p322 :rule eq_resolve :premises (@p321 @p320)) % 10.61/10.87 (step @p323 :rule reordering :premises (@p322) :args ((or @t263 @t270))) % 10.61/10.87 (step @p324 :rule chain_m_resolution :premises (@p323 @p294) :args (@t263 @t275 @t276)) % 10.61/10.87 (step @p325 :rule bool-double-not-elim :args (@t265)) % 10.61/10.87 (step @p326 :rule nary_cong :premises (@p319 @p325) :args ((or @t270 (not @t266)))) % 10.61/10.87 (step @p327 :rule cnf_or_neg :args (@t270 2)) % 10.61/10.87 (step @p328 :rule eq_resolve :premises (@p327 @p326)) % 10.61/10.87 (step @p329 :rule reordering :premises (@p328) :args ((or @t265 @t270))) % 10.61/10.87 (step @p330 :rule chain_m_resolution :premises (@p329 @p294) :args (@t265 @t275 @t276)) % 10.61/10.87 (step @p331 :rule bool-double-not-elim :args (@t267)) % 10.61/10.87 (step @p332 :rule nary_cong :premises (@p319 @p331) :args ((or @t270 (not @t268)))) % 10.61/10.87 (step @p333 :rule cnf_or_neg :args (@t270 1)) % 10.61/10.87 (step @p334 :rule eq_resolve :premises (@p333 @p332)) % 10.61/10.87 (step @p335 :rule reordering :premises (@p334) :args ((or @t267 @t270))) % 10.61/10.87 (step @p336 :rule chain_m_resolution :premises (@p335 @p294) :args (@t267 @t275 @t276)) % 10.61/10.87 (step @p337 :rule cnf_or_neg :args (@t270 0)) % 10.61/10.87 (step @p338 :rule chain_m_resolution :premises (@p337 @p294) :args ((not @t269) @t275 @t276)) % 10.61/10.87 (step @p339 :rule cnf_or_pos :args (@t280)) % 10.61/10.87 (step @p340 :rule reordering :premises (@p339) :args ((or @t269 @t268 @t266 @t264 @t279 (not @t280)))) % 10.61/10.87 (step @p341 :rule chain_m_resolution :premises (@p340 @p338 @p336 @p330 @p324 @p317) :args (@t279 @t281 (@list @t269 @t267 @t265 @t263 @t280))) % 10.61/10.87 (step @p342 :rule symm :premises (@p341)) % 10.61/10.87 (step @p343 :rule aci_norm :args ((= @t286 (or @t23 @t175 @t174 @t284 @t283)))) % 10.61/10.87 (step @p344 :rule cong :premises (@p343) :args (@t287)) % 10.61/10.87 (step @p345 :rule quant-merge-prenex :args ((= (forall @t27 @t289) @t287))) % 10.61/10.87 (step @p346 :rule alpha_equiv :args (@t290 (@list @t282) @t185)) % 10.61/10.87 (step @p347 :rule nary_cong :premises (@p108 @p107 @p106 @p346) :args (@t291)) % 10.61/10.87 (step @p348 :rule quant-miniscope-or :args ((= @t289 @t291))) % 10.61/10.87 (step @p349 :rule trans :premises (@p348 @p347)) % 10.61/10.87 (step @p350 :rule symm :premises (@p349)) % 10.61/10.87 (step @p351 :rule cong :premises (@p350) :args ((forall @t27 @t294))) % 10.61/10.87 (step @p352 :rule trans :premises (@p351 @p345)) % 10.61/10.87 (step @p353 :rule trans :premises (@p352 @p344)) % 10.61/10.87 (step @p354 :rule aci_norm :args ((= (or @t196 @t293) @t294))) % 10.61/10.87 (step @p355 :rule refl :args (@t293)) % 10.61/10.87 (step @p356 :rule nary_cong :premises (@p127 @p355) :args ((or @t199 @t293))) % 10.61/10.87 (step @p357 :rule trans :premises (@p356 @p354)) % 10.61/10.87 (step @p358 :rule bool-impl-elim :args (@t25 @t293)) % 10.61/10.87 (step @p359 :rule trans :premises (@p358 @p357)) % 10.61/10.87 (step @p360 :rule cong :premises (@p359) :args ((forall @t27 (=> @t25 @t293)))) % 10.61/10.87 (step @p361 :rule trans :premises (@p360 @p353)) % 10.61/10.87 (step @p362 :rule bool-impl-elim :args (@t17 @t292)) % 10.61/10.87 (step @p363 :rule cong :premises (@p362) :args ((forall @t19 (=> @t17 @t292)))) % 10.61/10.87 (step @p364 :rule eq-symm :args (@t56 @t4)) % 10.61/10.87 (step @p365 :rule cong :premises (@p180 @p364) :args (@t57)) % 10.61/10.87 (step @p366 :rule cong :premises (@p365) :args (@t58)) % 10.61/10.87 (step @p367 :rule trans :premises (@p366 @p363)) % 10.61/10.87 (step @p368 :rule cong :premises (@p184 @p367) :args (@t59)) % 10.61/10.87 (step @p369 :rule cong :premises (@p368) :args (@t60)) % 10.61/10.87 (step @p370 :rule trans :premises (@p369 @p361)) % 10.61/10.87 (step @p371 :rule eq_resolve :premises (@p12 @p370)) % 10.61/10.87 (step @p372 :rule instantiate :premises (@p371) :args (@t295)) % 10.61/10.87 (step @p373 :rule bool-double-not-elim :args (@t261)) % 10.61/10.87 (step @p374 :rule nary_cong :premises (@p319 @p373) :args ((or @t270 (not @t262)))) % 10.61/10.87 (step @p375 :rule cnf_or_neg :args (@t270 4)) % 10.61/10.87 (step @p376 :rule eq_resolve :premises (@p375 @p374)) % 10.61/10.87 (step @p377 :rule reordering :premises (@p376) :args ((or @t261 @t270))) % 10.61/10.87 (step @p378 :rule chain_m_resolution :premises (@p377 @p294) :args (@t261 @t275 @t276)) % 10.61/10.87 (step @p379 :rule cnf_or_pos :args (@t297)) % 10.61/10.87 (step @p380 :rule reordering :premises (@p379) :args ((or @t269 @t268 @t266 @t262 @t296 (not @t297)))) % 10.61/10.87 (step @p381 :rule chain_m_resolution :premises (@p380 @p338 @p336 @p330 @p378 @p372) :args (@t296 @t281 (@list @t269 @t267 @t265 @t261 @t297))) % 10.61/10.87 (step @p382 :rule symm :premises (@p381)) % 10.61/10.87 (step @p383 :rule cong :premises (@p382 @p342) :args (@t232)) % 10.61/10.87 (step @p384 :rule trans :premises (@p383 @p297)) % 10.61/10.87 (step @p385 :rule false_elim :premises (@p384)) % 10.61/10.87 (step @p386 :rule aci_norm :args ((= (or (or @t23 @t175 @t174 @t191) @t97) (or @t23 @t175 @t174 @t191 @t97)))) % 10.61/10.87 (step @p387 :rule refl :args (@t97)) % 10.61/10.87 (step @p388 :rule nary_cong :premises (@p118 @p107 @p106 @p158) :args (@t298)) % 10.61/10.87 (step @p389 :rule aci_norm :args ((= (or @t197 (or @t175 (or @t174 @t191))) @t298))) % 10.61/10.87 (step @p390 :rule trans :premises (@p389 @p388)) % 10.61/10.87 (step @p391 :rule bool-and-de-morgan :args (@t21 @t17 true)) % 10.61/10.87 (step @p392 :rule nary_cong :premises (@p107 @p391) :args ((or @t175 (not (and @t21 @t17))))) % 10.61/10.87 (step @p393 :rule bool-and-de-morgan :args (@t22 @t21 (and @t17))) % 10.61/10.87 (step @p394 :rule trans :premises (@p393 @p392)) % 10.61/10.87 (step @p395 :rule nary_cong :premises (@p123 @p394) :args ((or @t197 (not (and @t22 @t21 @t17))))) % 10.61/10.87 (step @p396 :rule bool-and-de-morgan :args (@t24 @t22 (and @t21 @t17))) % 10.61/10.87 (step @p397 :rule trans :premises (@p396 @p395)) % 10.61/10.87 (step @p398 :rule trans :premises (@p397 @p390)) % 10.61/10.87 (step @p399 :rule nary_cong :premises (@p398 @p387) :args ((or (not @t98) @t97))) % 10.61/10.87 (step @p400 :rule trans :premises (@p399 @p386)) % 10.61/10.87 (step @p401 :rule bool-impl-elim :args (@t98 @t97)) % 10.61/10.87 (step @p402 :rule trans :premises (@p401 @p400)) % 10.61/10.87 (step @p403 :rule cong :premises (@p402) :args (@t99)) % 10.61/10.87 (step @p404 :rule eq_resolve :premises (@p20 @p403)) % 10.61/10.87 (step @p405 :rule instantiate :premises (@p404) :args (@t295)) % 10.61/10.87 (step @p406 :rule cnf_or_pos :args (@t299)) % 10.61/10.87 (step @p407 :rule reordering :premises (@p406) :args ((or @t269 @t268 @t266 @t262 @t221 (not @t299)))) % 10.61/10.87 (step @p408 :rule chain_m_resolution :premises (@p407 @p338 @p336 @p330 @p378 @p405) :args (@t221 @t281 (@list @t269 @t267 @t265 @t261 @t299))) % 10.61/10.87 (step @p409 :rule bool-impl-elim :args (@t21 @t95)) % 10.61/10.87 (step @p410 :rule cong :premises (@p409) :args (@t96)) % 10.61/10.87 (step @p411 :rule eq_resolve :premises (@p18 @p410)) % 10.61/10.87 (step @p412 :rule instantiate :premises (@p411) :args (@t278)) % 10.61/10.87 (step @p413 :rule cnf_or_pos :args (@t302)) % 10.61/10.87 (step @p414 :rule reordering :premises (@p413) :args ((or @t266 @t301 (not @t302)))) % 10.61/10.87 (step @p415 :rule chain_m_resolution :premises (@p414 @p330 @p412) :args (@t301 @t303 (@list @t265 @t302))) % 10.61/10.87 (step @p416 :rule cnf_and_pos :args (@t301 1)) % 10.61/10.87 (step @p417 :rule reordering :premises (@p416) :args ((or @t225 (not @t301)))) % 10.61/10.87 (step @p418 :rule chain_m_resolution :premises (@p417 @p415) :args (@t225 @t234 (@list @t301))) % 10.61/10.87 (step @p419 :rule aci_norm :args ((= (or @t196 @t163) (or @t23 @t175 @t174 @t163)))) % 10.61/10.87 (step @p420 :rule refl :args (@t163)) % 10.61/10.87 (step @p421 :rule nary_cong :premises (@p127 @p420) :args ((or @t199 @t163))) % 10.61/10.87 (step @p422 :rule trans :premises (@p421 @p419)) % 10.61/10.87 (step @p423 :rule bool-impl-elim :args (@t25 @t163)) % 10.61/10.87 (step @p424 :rule trans :premises (@p423 @p422)) % 10.61/10.87 (step @p425 :rule cong :premises (@p424) :args (@t164)) % 10.61/10.87 (step @p426 :rule eq_resolve :premises (@p86 @p425)) % 10.61/10.87 (step @p427 :rule instantiate :premises (@p426) :args (@t278)) % 10.61/10.87 (step @p428 :rule cnf_or_pos :args (@t305)) % 10.61/10.87 (step @p429 :rule reordering :premises (@p428) :args ((or @t269 @t268 @t266 @t304 (not @t305)))) % 10.61/10.87 (step @p430 :rule chain_m_resolution :premises (@p429 @p338 @p336 @p330 @p427) :args (@t304 @t306 (@list @t269 @t267 @t265 @t305))) % 10.61/10.87 (step @p431 :rule cnf_equiv_pos1 :args (@t304)) % 10.61/10.87 (step @p432 :rule reordering :premises (@p431) :args ((or @t264 @t223 (not @t304)))) % 10.61/10.87 (step @p433 :rule chain_m_resolution :premises (@p432 @p324 @p430) :args (@t223 @t303 (@list @t263 @t304))) % 10.61/10.87 (step @p434 :rule aci_norm :args ((= (or @t196 @t135) (or @t23 @t175 @t174 @t135)))) % 10.61/10.87 (step @p435 :rule refl :args (@t135)) % 10.61/10.87 (step @p436 :rule nary_cong :premises (@p127 @p435) :args ((or @t199 @t135))) % 10.61/10.87 (step @p437 :rule trans :premises (@p436 @p434)) % 10.61/10.87 (step @p438 :rule bool-impl-elim :args (@t25 @t135)) % 10.61/10.87 (step @p439 :rule trans :premises (@p438 @p437)) % 10.61/10.87 (step @p440 :rule cong :premises (@p439) :args (@t136)) % 10.61/10.87 (step @p441 :rule eq_resolve :premises (@p58 @p440)) % 10.61/10.87 (step @p442 :rule instantiate :premises (@p441) :args (@t278)) % 10.61/10.87 (step @p443 :rule cnf_or_pos :args (@t309)) % 10.61/10.87 (step @p444 :rule reordering :premises (@p443) :args ((or @t269 @t268 @t266 @t308 (not @t309)))) % 10.61/10.87 (step @p445 :rule chain_m_resolution :premises (@p444 @p338 @p336 @p330 @p442) :args (@t308 @t306 (@list @t269 @t267 @t265 @t309))) % 10.61/10.87 (step @p446 :rule cnf_and_pos :args (@t308 8)) % 10.61/10.87 (step @p447 :rule reordering :premises (@p446) :args ((or @t227 (not @t308)))) % 10.61/10.87 (step @p448 :rule chain_m_resolution :premises (@p447 @p445) :args (@t227 @t234 (@list @t308))) % 10.61/10.87 (step @p449 :rule aci_norm :args ((= (or (or @t23 @t174) @t125) (or @t23 @t174 @t125)))) % 10.61/10.87 (step @p450 :rule refl :args (@t125)) % 10.61/10.87 (step @p451 :rule nary_cong :premises (@p118 @p106) :args ((or @t197 @t174))) % 10.61/10.87 (step @p452 :rule bool-and-de-morgan :args (@t24 @t21 true)) % 10.61/10.87 (step @p453 :rule trans :premises (@p452 @p451)) % 10.61/10.87 (step @p454 :rule nary_cong :premises (@p453 @p450) :args ((or (not @t126) @t125))) % 10.61/10.87 (step @p455 :rule trans :premises (@p454 @p449)) % 10.61/10.87 (step @p456 :rule bool-impl-elim :args (@t126 @t125)) % 10.61/10.87 (step @p457 :rule trans :premises (@p456 @p455)) % 10.61/10.87 (step @p458 :rule cong :premises (@p457) :args (@t127)) % 10.61/10.87 (step @p459 :rule eq_resolve :premises (@p47 @p458)) % 10.61/10.87 (step @p460 :rule instantiate :premises (@p459) :args (@t278)) % 10.61/10.87 (step @p461 :rule cnf_or_pos :args (@t311)) % 10.61/10.87 (step @p462 :rule reordering :premises (@p461) :args ((or @t269 @t266 @t310 (not @t311)))) % 10.61/10.87 (step @p463 :rule chain_m_resolution :premises (@p462 @p338 @p330 @p460) :args (@t310 (@list true false false) (@list @t269 @t265 @t311))) % 10.61/10.87 (step @p464 :rule cnf_and_pos :args (@t310 0)) % 10.61/10.87 (step @p465 :rule reordering :premises (@p464) :args ((or @t307 (not @t310)))) % 10.61/10.87 (step @p466 :rule chain_m_resolution :premises (@p465 @p463) :args (@t307 @t234 (@list @t310))) % 10.61/10.87 (step @p467 :rule cnf_or_pos :args (@t233)) % 10.61/10.87 (step @p468 :rule reordering :premises (@p467) :args ((or @t229 @t228 @t224 @t226 @t222 @t218 @t232 (not @t233)))) % 10.61/10.87 (step @p469 :rule chain_m_resolution :premises (@p468 @p466 @p448 @p433 @p418 @p408 @p385 @p205) :args (@t218 (@list true false false false false true false) (@list @t229 @t227 @t223 @t225 @t221 @t232 @t233))) % 10.61/10.87 (step @p470 :rule skolemize :premises (@p469)) % 10.61/10.87 (step @p471 :rule bool-double-not-elim :args (@t313)) % 10.61/10.87 (step @p472 :rule refl :args (@t319)) % 10.61/10.87 (step @p473 :rule nary_cong :premises (@p472 @p471) :args ((or @t319 (not @t314)))) % 10.61/10.87 (step @p474 :rule cnf_or_neg :args (@t319 2)) % 10.61/10.87 (step @p475 :rule eq_resolve :premises (@p474 @p473)) % 10.61/10.87 (step @p476 :rule reordering :premises (@p475) :args ((or @t313 @t319))) % 10.61/10.87 (step @p477 :rule chain_m_resolution :premises (@p476 @p470) :args (@t313 @t275 @t320)) % 10.61/10.87 (step @p478 :rule true_intro :premises (@p477)) % 10.61/10.87 (step @p479 :rule refl :args (@t214)) % 10.61/10.87 (step @p480 :rule aci_norm :args ((= @t325 (or @t23 @t175 @t174 @t323 @t322)))) % 10.61/10.87 (step @p481 :rule cong :premises (@p480) :args (@t326)) % 10.61/10.87 (step @p482 :rule quant-merge-prenex :args ((= (forall @t27 @t328) @t326))) % 10.61/10.87 (step @p483 :rule alpha_equiv :args (@t329 (@list @t321) @t185)) % 10.61/10.87 (step @p484 :rule nary_cong :premises (@p108 @p107 @p106 @p483) :args (@t330)) % 10.61/10.87 (step @p485 :rule quant-miniscope-or :args ((= @t328 @t330))) % 10.61/10.87 (step @p486 :rule trans :premises (@p485 @p484)) % 10.61/10.87 (step @p487 :rule symm :premises (@p486)) % 10.61/10.87 (step @p488 :rule cong :premises (@p487) :args ((forall @t27 @t334))) % 10.61/10.87 (step @p489 :rule trans :premises (@p488 @p482)) % 10.61/10.87 (step @p490 :rule trans :premises (@p489 @p481)) % 10.61/10.87 (step @p491 :rule aci_norm :args ((= (or @t196 @t333) @t334))) % 10.61/10.87 (step @p492 :rule refl :args (@t333)) % 10.61/10.87 (step @p493 :rule nary_cong :premises (@p127 @p492) :args ((or @t199 @t333))) % 10.61/10.87 (step @p494 :rule trans :premises (@p493 @p491)) % 10.61/10.87 (step @p495 :rule bool-impl-elim :args (@t25 @t333)) % 10.61/10.87 (step @p496 :rule trans :premises (@p495 @p494)) % 10.61/10.87 (step @p497 :rule cong :premises (@p496) :args ((forall @t27 (=> @t25 @t333)))) % 10.61/10.87 (step @p498 :rule trans :premises (@p497 @p490)) % 10.61/10.87 (step @p499 :rule bool-impl-elim :args (@t71 @t331)) % 10.61/10.87 (step @p500 :rule cong :premises (@p499) :args ((forall @t19 (=> @t71 @t331)))) % 10.61/10.87 (step @p501 :rule eq-symm :args (@t68 @t4)) % 10.61/10.87 (step @p502 :rule refl :args (@t71)) % 10.61/10.87 (step @p503 :rule cong :premises (@p502 @p501) :args (@t72)) % 10.61/10.87 (step @p504 :rule cong :premises (@p503) :args (@t73)) % 10.61/10.87 (step @p505 :rule trans :premises (@p504 @p500)) % 10.61/10.87 (step @p506 :rule cong :premises (@p184 @p505) :args (@t74)) % 10.61/10.87 (step @p507 :rule cong :premises (@p506) :args (@t75)) % 10.61/10.87 (step @p508 :rule trans :premises (@p507 @p498)) % 10.61/10.87 (step @p509 :rule eq_resolve :premises (@p14 @p508)) % 10.61/10.87 (step @p510 :rule instantiate :premises (@p509) :args (@t335)) % 10.61/10.87 (step @p511 :rule aci_norm :args ((= @t340 (or @t23 @t175 @t174 @t338 @t337)))) % 10.61/10.87 (step @p512 :rule cong :premises (@p511) :args (@t341)) % 10.61/10.87 (step @p513 :rule quant-merge-prenex :args ((= (forall @t27 @t343) @t341))) % 10.61/10.87 (step @p514 :rule alpha_equiv :args (@t344 (@list @t336) @t185)) % 10.61/10.87 (step @p515 :rule nary_cong :premises (@p108 @p107 @p106 @p514) :args (@t345)) % 10.61/10.87 (step @p516 :rule quant-miniscope-or :args ((= @t343 @t345))) % 10.61/10.87 (step @p517 :rule trans :premises (@p516 @p515)) % 10.61/10.87 (step @p518 :rule symm :premises (@p517)) % 10.61/10.87 (step @p519 :rule cong :premises (@p518) :args ((forall @t27 @t347))) % 10.61/10.87 (step @p520 :rule trans :premises (@p519 @p513)) % 10.61/10.87 (step @p521 :rule trans :premises (@p520 @p512)) % 10.61/10.87 (step @p522 :rule aci_norm :args ((= (or @t196 @t346) @t347))) % 10.61/10.87 (step @p523 :rule refl :args (@t346)) % 10.61/10.87 (step @p524 :rule nary_cong :premises (@p127 @p523) :args ((or @t199 @t346))) % 10.61/10.87 (step @p525 :rule trans :premises (@p524 @p522)) % 10.61/10.87 (step @p526 :rule bool-impl-elim :args (@t25 @t346)) % 10.61/10.87 (step @p527 :rule trans :premises (@p526 @p525)) % 10.61/10.87 (step @p528 :rule cong :premises (@p527) :args ((forall @t27 (=> @t25 @t346)))) % 10.61/10.87 (step @p529 :rule trans :premises (@p528 @p521)) % 10.61/10.87 (step @p530 :rule bool-impl-elim :args (@t110 @t109)) % 10.61/10.87 (step @p531 :rule cong :premises (@p530) :args (@t111)) % 10.61/10.87 (step @p532 :rule cong :premises (@p184 @p531) :args (@t112)) % 10.61/10.87 (step @p533 :rule cong :premises (@p532) :args (@t113)) % 10.61/10.87 (step @p534 :rule trans :premises (@p533 @p529)) % 10.61/10.87 (step @p535 :rule eq_resolve :premises (@p28 @p534)) % 10.61/10.87 (step @p536 :rule instantiate :premises (@p535) :args ((@list @t214 @t312))) % 10.61/10.87 (step @p537 :rule bool-double-not-elim :args (@t317)) % 10.61/10.87 (step @p538 :rule nary_cong :premises (@p472 @p537) :args ((or @t319 (not @t318)))) % 10.61/10.87 (step @p539 :rule cnf_or_neg :args (@t319 0)) % 10.61/10.87 (step @p540 :rule eq_resolve :premises (@p539 @p538)) % 10.61/10.87 (step @p541 :rule reordering :premises (@p540) :args ((or @t317 @t319))) % 10.61/10.87 (step @p542 :rule chain_m_resolution :premises (@p541 @p470) :args (@t317 @t275 @t320)) % 10.61/10.87 (step @p543 :rule cnf_or_pos :args (@t350)) % 10.61/10.87 (step @p544 :rule reordering :premises (@p543) :args ((or @t229 @t228 @t226 @t318 @t349 (not @t350)))) % 10.61/10.87 (step @p545 :rule chain_m_resolution :premises (@p544 @p466 @p448 @p418 @p542 @p536) :args (@t349 @t281 (@list @t229 @t227 @t225 @t317 @t350))) % 10.61/10.87 (step @p546 :rule cnf_and_pos :args (@t349 1)) % 10.61/10.87 (step @p547 :rule reordering :premises (@p546) :args ((or @t348 (not @t349)))) % 10.61/10.87 (step @p548 :rule chain_m_resolution :premises (@p547 @p545) :args (@t348 @t234 (@list @t349))) % 10.61/10.87 (step @p549 :rule cnf_or_pos :args (@t354)) % 10.61/10.87 (step @p550 :rule reordering :premises (@p549) :args ((or @t269 @t268 @t266 @t353 @t352 (not @t354)))) % 10.61/10.87 (step @p551 :rule chain_m_resolution :premises (@p550 @p338 @p336 @p330 @p548 @p510) :args (@t352 @t281 (@list @t269 @t267 @t265 @t348 @t354))) % 10.61/10.87 (step @p552 :rule symm :premises (@p551)) % 10.61/10.87 (step @p553 :rule aci_norm :args ((= @t359 (or @t23 @t175 @t174 @t357 @t356)))) % 10.61/10.87 (step @p554 :rule cong :premises (@p553) :args (@t360)) % 10.61/10.87 (step @p555 :rule quant-merge-prenex :args ((= (forall @t27 @t362) @t360))) % 10.61/10.87 (step @p556 :rule alpha_equiv :args (@t363 (@list @t355) @t185)) % 10.61/10.87 (step @p557 :rule nary_cong :premises (@p108 @p107 @p106 @p556) :args (@t364)) % 10.61/10.87 (step @p558 :rule quant-miniscope-or :args ((= @t362 @t364))) % 10.61/10.87 (step @p559 :rule trans :premises (@p558 @p557)) % 10.61/10.87 (step @p560 :rule symm :premises (@p559)) % 10.61/10.87 (step @p561 :rule cong :premises (@p560) :args ((forall @t27 @t367))) % 10.61/10.87 (step @p562 :rule trans :premises (@p561 @p555)) % 10.61/10.87 (step @p563 :rule trans :premises (@p562 @p554)) % 10.61/10.87 (step @p564 :rule aci_norm :args ((= (or @t196 @t366) @t367))) % 10.61/10.87 (step @p565 :rule refl :args (@t366)) % 10.61/10.87 (step @p566 :rule nary_cong :premises (@p127 @p565) :args ((or @t199 @t366))) % 10.61/10.87 (step @p567 :rule trans :premises (@p566 @p564)) % 10.61/10.87 (step @p568 :rule bool-impl-elim :args (@t25 @t366)) % 10.61/10.87 (step @p569 :rule trans :premises (@p568 @p567)) % 10.61/10.87 (step @p570 :rule cong :premises (@p569) :args ((forall @t27 (=> @t25 @t366)))) % 10.61/10.87 (step @p571 :rule trans :premises (@p570 @p563)) % 10.61/10.87 (step @p572 :rule bool-impl-elim :args (@t63 @t365)) % 10.61/10.87 (step @p573 :rule cong :premises (@p572) :args ((forall @t19 (=> @t63 @t365)))) % 10.61/10.87 (step @p574 :rule eq-symm :args (@t61 @t4)) % 10.61/10.87 (step @p575 :rule refl :args (@t63)) % 10.61/10.87 (step @p576 :rule cong :premises (@p575 @p574) :args (@t64)) % 10.61/10.87 (step @p577 :rule cong :premises (@p576) :args (@t65)) % 10.61/10.87 (step @p578 :rule trans :premises (@p577 @p573)) % 10.61/10.87 (step @p579 :rule cong :premises (@p184 @p578) :args (@t66)) % 10.61/10.87 (step @p580 :rule cong :premises (@p579) :args (@t67)) % 10.61/10.87 (step @p581 :rule trans :premises (@p580 @p571)) % 10.61/10.87 (step @p582 :rule eq_resolve :premises (@p13 @p581)) % 10.61/10.87 (step @p583 :rule instantiate :premises (@p582) :args ((@list @t213 @t351))) % 10.61/10.87 (step @p584 :rule aci_norm :args ((= (or (or @t23 @t175 @t174 @t332) @t103) (or @t23 @t175 @t174 @t332 @t103)))) % 10.61/10.87 (step @p585 :rule refl :args (@t103)) % 10.61/10.87 (step @p586 :rule refl :args (@t332)) % 10.61/10.87 (step @p587 :rule nary_cong :premises (@p118 @p107 @p106 @p586) :args (@t368)) % 10.61/10.87 (step @p588 :rule aci_norm :args ((= (or @t197 (or @t175 (or @t174 @t332))) @t368))) % 10.61/10.87 (step @p589 :rule trans :premises (@p588 @p587)) % 10.61/10.87 (step @p590 :rule bool-and-de-morgan :args (@t21 @t71 true)) % 10.61/10.87 (step @p591 :rule nary_cong :premises (@p107 @p590) :args ((or @t175 (not (and @t21 @t71))))) % 10.61/10.87 (step @p592 :rule bool-and-de-morgan :args (@t22 @t21 (and @t71))) % 10.61/10.87 (step @p593 :rule trans :premises (@p592 @p591)) % 10.61/10.87 (step @p594 :rule nary_cong :premises (@p123 @p593) :args ((or @t197 (not (and @t22 @t21 @t71))))) % 10.61/10.87 (step @p595 :rule bool-and-de-morgan :args (@t24 @t22 (and @t21 @t71))) % 10.61/10.87 (step @p596 :rule trans :premises (@p595 @p594)) % 10.61/10.87 (step @p597 :rule trans :premises (@p596 @p589)) % 10.61/10.87 (step @p598 :rule nary_cong :premises (@p597 @p585) :args ((or (not @t104) @t103))) % 10.61/10.87 (step @p599 :rule trans :premises (@p598 @p584)) % 10.61/10.87 (step @p600 :rule bool-impl-elim :args (@t104 @t103)) % 10.61/10.87 (step @p601 :rule trans :premises (@p600 @p599)) % 10.61/10.87 (step @p602 :rule cong :premises (@p601) :args (@t105)) % 10.61/10.87 (step @p603 :rule eq_resolve :premises (@p24 @p602)) % 10.61/10.87 (step @p604 :rule instantiate :premises (@p603) :args (@t335)) % 10.61/10.87 (step @p605 :rule cnf_or_pos :args (@t370)) % 10.61/10.87 (step @p606 :rule reordering :premises (@p605) :args ((or @t269 @t268 @t266 @t353 @t369 (not @t370)))) % 10.61/10.87 (step @p607 :rule chain_m_resolution :premises (@p606 @p338 @p336 @p330 @p548 @p604) :args (@t369 @t281 (@list @t269 @t267 @t265 @t348 @t370))) % 10.61/10.87 (step @p608 :rule cnf_or_pos :args (@t373)) % 10.61/10.87 (step @p609 :rule reordering :premises (@p608) :args ((or @t269 @t268 @t266 @t372 @t371 (not @t373)))) % 10.61/10.87 (step @p610 :rule chain_m_resolution :premises (@p609 @p338 @p336 @p330 @p607 @p583) :args (@t371 @t281 (@list @t269 @t267 @t265 @t369 @t373))) % 10.61/10.87 (step @p611 :rule symm :premises (@p610)) % 10.61/10.87 (step @p612 :rule aci_norm :args ((= (or @t377 @t374) @t376))) % 10.61/10.87 (step @p613 :rule refl :args (@t374)) % 10.61/10.87 (step @p614 :rule refl :args (@t375)) % 10.61/10.87 (step @p615 :rule nary_cong :premises (@p118 @p107 @p106 @p614) :args (@t378)) % 10.61/10.87 (step @p616 :rule aci_norm :args ((= (or @t197 (or @t175 (or @t174 @t375))) @t378))) % 10.61/10.87 (step @p617 :rule trans :premises (@p616 @p615)) % 10.61/10.87 (step @p618 :rule bool-and-de-morgan :args (@t21 @t88 true)) % 10.61/10.87 (step @p619 :rule nary_cong :premises (@p107 @p618) :args ((or @t175 (not (and @t21 @t88))))) % 10.61/10.87 (step @p620 :rule bool-and-de-morgan :args (@t22 @t21 (and @t88))) % 10.61/10.87 (step @p621 :rule trans :premises (@p620 @p619)) % 10.61/10.87 (step @p622 :rule nary_cong :premises (@p123 @p621) :args ((or @t197 (not (and @t22 @t21 @t88))))) % 10.61/10.87 (step @p623 :rule bool-and-de-morgan :args (@t24 @t22 (and @t21 @t88))) % 10.61/10.87 (step @p624 :rule trans :premises (@p623 @p622)) % 10.61/10.87 (step @p625 :rule trans :premises (@p624 @p617)) % 10.61/10.87 (step @p626 :rule nary_cong :premises (@p625 @p613) :args ((or @t379 @t374))) % 10.61/10.87 (step @p627 :rule trans :premises (@p626 @p612)) % 10.61/10.87 (step @p628 :rule bool-impl-elim :args (@t89 @t374)) % 10.61/10.87 (step @p629 :rule trans :premises (@p628 @p627)) % 10.61/10.87 (step @p630 :rule cong :premises (@p629) :args ((forall @t34 (=> @t89 @t374)))) % 10.61/10.87 (step @p631 :rule eq-symm :args (@t86 @t68)) % 10.61/10.87 (step @p632 :rule refl :args (@t89)) % 10.61/10.87 (step @p633 :rule cong :premises (@p632 @p631) :args (@t141)) % 10.61/10.87 (step @p634 :rule cong :premises (@p633) :args (@t142)) % 10.61/10.87 (step @p635 :rule trans :premises (@p634 @p630)) % 10.61/10.87 (step @p636 :rule eq_resolve :premises (@p74 @p635)) % 10.61/10.87 (step @p637 :rule eq-symm :args (@t351 @t380)) % 10.61/10.87 (step @p638 :rule refl :args (@t318)) % 10.61/10.87 (step @p639 :rule nary_cong :premises (@p282 @p281 @p280 @p638 @p637) :args (@t381)) % 10.61/10.87 (step @p640 :rule refl :args (@t382)) % 10.61/10.87 (step @p641 :rule cong :premises (@p640 @p639) :args ((=> @t382 @t381))) % 10.61/10.87 (assume-push @p769 @t382) % 10.61/10.87 (step @p643 :rule instantiate :premises (@p636) :args (@t335)) % 10.61/10.87 (step-pop @p770 :rule scope :premises (@p643)) % 10.61/10.87 (step @p644 :rule process_scope :premises (@p770) :args (@t381)) % 10.61/10.87 (step @p646 :rule eq_resolve :premises (@p644 @p641)) % 10.61/10.87 (step @p647 :rule implies_elim :premises (@p646)) % 10.61/10.87 (step @p648 :rule chain_m_resolution :premises (@p647 @p636) :args (@t384 @t234 (@list @t382))) % 10.61/10.87 (step @p649 :rule cnf_or_pos :args (@t384)) % 10.61/10.87 (step @p650 :rule reordering :premises (@p649) :args ((or @t269 @t268 @t266 @t318 @t383 (not @t384)))) % 10.61/10.87 (step @p651 :rule chain_m_resolution :premises (@p650 @p338 @p336 @p330 @p542 @p648) :args (@t383 @t281 (@list @t269 @t267 @t265 @t317 @t384))) % 10.61/10.87 (step @p652 :rule refl :args (@t213)) % 10.61/10.87 (step @p653 :rule cong :premises (@p652 @p651) :args (@t385)) % 10.61/10.87 (step @p654 :rule aci_norm :args ((= (or (or @t23 @t175 @t174 @t387) @t386) @t388))) % 10.61/10.87 (step @p655 :rule refl :args (@t386)) % 10.61/10.87 (step @p656 :rule refl :args (@t387)) % 10.61/10.87 (step @p657 :rule nary_cong :premises (@p118 @p107 @p106 @p656) :args (@t389)) % 10.61/10.87 (step @p658 :rule aci_norm :args ((= (or @t197 (or @t175 (or @t174 @t387))) @t389))) % 10.61/10.87 (step @p659 :rule trans :premises (@p658 @p657)) % 10.61/10.87 (step @p660 :rule bool-and-de-morgan :args (@t21 @t92 true)) % 10.61/10.87 (step @p661 :rule nary_cong :premises (@p107 @p660) :args ((or @t175 (not (and @t21 @t92))))) % 10.61/10.87 (step @p662 :rule bool-and-de-morgan :args (@t22 @t21 (and @t92))) % 10.61/10.87 (step @p663 :rule trans :premises (@p662 @p661)) % 10.61/10.87 (step @p664 :rule nary_cong :premises (@p123 @p663) :args ((or @t197 (not (and @t22 @t21 @t92))))) % 10.61/10.87 (step @p665 :rule bool-and-de-morgan :args (@t24 @t22 (and @t21 @t92))) % 10.61/10.87 (step @p666 :rule trans :premises (@p665 @p664)) % 10.61/10.87 (step @p667 :rule trans :premises (@p666 @p659)) % 10.61/10.87 (step @p668 :rule nary_cong :premises (@p667 @p655) :args ((or (not @t93) @t386))) % 10.61/10.87 (step @p669 :rule trans :premises (@p668 @p654)) % 10.61/10.87 (step @p670 :rule bool-impl-elim :args (@t93 @t386)) % 10.61/10.87 (step @p671 :rule trans :premises (@p670 @p669)) % 10.61/10.87 (step @p672 :rule cong :premises (@p671) :args ((forall @t34 (=> @t93 @t386)))) % 10.61/10.87 (step @p673 :rule eq-symm :args (@t91 @t61)) % 10.61/10.87 (step @p674 :rule refl :args (@t93)) % 10.61/10.87 (step @p675 :rule cong :premises (@p674 @p673) :args (@t143)) % 10.61/10.87 (step @p676 :rule cong :premises (@p675) :args (@t144)) % 10.61/10.87 (step @p677 :rule trans :premises (@p676 @p672)) % 10.61/10.87 (step @p678 :rule eq_resolve :premises (@p75 @p677)) % 10.61/10.87 (step @p679 :rule eq-symm :args (@t385 @t390)) % 10.61/10.87 (step @p680 :rule refl :args (@t392)) % 10.61/10.87 (step @p681 :rule nary_cong :premises (@p282 @p281 @p280 @p680 @p679) :args (@t393)) % 10.61/10.87 (step @p682 :rule refl :args (@t394)) % 10.61/10.87 (step @p683 :rule cong :premises (@p682 @p681) :args ((=> @t394 @t393))) % 10.61/10.87 (assume-push @p771 @t394) % 10.61/10.87 (step @p685 :rule instantiate :premises (@p678) :args (@t395)) % 10.61/10.87 (step-pop @p772 :rule scope :premises (@p685)) % 10.61/10.87 (step @p686 :rule process_scope :premises (@p772) :args (@t393)) % 10.61/10.87 (step @p688 :rule eq_resolve :premises (@p686 @p683)) % 10.61/10.87 (step @p689 :rule implies_elim :premises (@p688)) % 10.61/10.87 (step @p690 :rule chain_m_resolution :premises (@p689 @p678) :args (@t397 @t234 (@list @t394))) % 10.61/10.87 (step @p691 :rule aci_norm :args ((= (or @t377 @t87) (or @t23 @t175 @t174 @t375 @t87)))) % 10.61/10.87 (step @p692 :rule refl :args (@t87)) % 10.61/10.87 (step @p693 :rule nary_cong :premises (@p625 @p692) :args ((or @t379 @t87))) % 10.61/10.87 (step @p694 :rule trans :premises (@p693 @p691)) % 10.61/10.87 (step @p695 :rule bool-impl-elim :args (@t89 @t87)) % 10.61/10.87 (step @p696 :rule trans :premises (@p695 @p694)) % 10.61/10.87 (step @p697 :rule cong :premises (@p696) :args (@t90)) % 10.61/10.87 (step @p698 :rule eq_resolve :premises (@p16 @p697)) % 10.61/10.87 (step @p699 :rule instantiate :premises (@p698) :args (@t335)) % 10.61/10.87 (step @p700 :rule cnf_or_pos :args (@t398)) % 10.61/10.87 (step @p701 :rule reordering :premises (@p700) :args ((or @t269 @t268 @t266 @t318 @t391 (not @t398)))) % 10.61/10.87 (step @p702 :rule chain_m_resolution :premises (@p701 @p338 @p336 @p330 @p542 @p699) :args (@t391 @t281 (@list @t269 @t267 @t265 @t317 @t398))) % 10.61/10.87 (step @p703 :rule cnf_or_pos :args (@t397)) % 10.61/10.87 (step @p704 :rule reordering :premises (@p703) :args ((or @t269 @t268 @t266 @t392 @t396 (not @t397)))) % 10.61/10.87 (step @p705 :rule chain_m_resolution :premises (@p704 @p338 @p336 @p330 @p702 @p690) :args (@t396 @t281 (@list @t269 @t267 @t265 @t391 @t397))) % 10.61/10.87 (step @p706 :rule trans :premises (@p705 @p653 @p611 @p552)) % 10.61/10.87 (step @p707 :rule cong :premises (@p706 @p479) :args (@t399)) % 10.61/10.87 (step @p708 :rule aci_norm :args ((= @t404 (or @t23 @t175 @t174 @t402 @t401)))) % 10.61/10.87 (step @p709 :rule cong :premises (@p708) :args (@t405)) % 10.61/10.87 (step @p710 :rule quant-merge-prenex :args ((= (forall @t27 @t407) @t405))) % 10.61/10.87 (step @p711 :rule alpha_equiv :args (@t408 (@list @t400) @t185)) % 10.61/10.87 (step @p712 :rule nary_cong :premises (@p108 @p107 @p106 @p711) :args (@t409)) % 10.61/10.87 (step @p713 :rule quant-miniscope-or :args ((= @t407 @t409))) % 0.35/10.91 (step @p714 :rule trans :premises (@p713 @p712)) % 0.35/10.91 (step @p715 :rule symm :premises (@p714)) % 0.35/10.91 (step @p716 :rule cong :premises (@p715) :args ((forall @t27 @t411))) % 0.35/10.91 (step @p717 :rule trans :premises (@p716 @p710)) % 0.35/10.91 (step @p718 :rule trans :premises (@p717 @p709)) % 0.35/10.91 (step @p719 :rule aci_norm :args ((= (or @t196 @t410) @t411))) % 0.35/10.91 (step @p720 :rule refl :args (@t410)) % 0.35/10.91 (step @p721 :rule nary_cong :premises (@p127 @p720) :args ((or @t199 @t410))) % 0.35/10.91 (step @p722 :rule trans :premises (@p721 @p719)) % 0.35/10.91 (step @p723 :rule bool-impl-elim :args (@t25 @t410)) % 0.35/10.91 (step @p724 :rule trans :premises (@p723 @p722)) % 0.35/10.91 (step @p725 :rule cong :premises (@p724) :args ((forall @t27 (=> @t25 @t410)))) % 0.35/10.91 (step @p726 :rule trans :premises (@p725 @p718)) % 0.35/10.91 (step @p727 :rule bool-impl-elim :args (@t92 @t158)) % 0.35/10.91 (step @p728 :rule cong :premises (@p727) :args (@t159)) % 0.35/10.91 (step @p729 :rule cong :premises (@p184 @p728) :args (@t160)) % 0.35/10.91 (step @p730 :rule cong :premises (@p729) :args (@t161)) % 0.35/10.91 (step @p731 :rule trans :premises (@p730 @p726)) % 0.35/10.91 (step @p732 :rule eq_resolve :premises (@p82 @p731)) % 0.35/10.91 (step @p733 :rule instantiate :premises (@p732) :args (@t395)) % 0.35/10.91 (step @p734 :rule cnf_or_pos :args (@t414)) % 0.35/10.91 (step @p735 :rule reordering :premises (@p734) :args ((or @t269 @t268 @t266 @t392 @t413 (not @t414)))) % 0.35/10.91 (step @p736 :rule chain_m_resolution :premises (@p735 @p338 @p336 @p330 @p702 @p733) :args (@t413 @t281 (@list @t269 @t267 @t265 @t391 @t414))) % 0.35/10.91 (step @p737 :rule bool-double-not-elim :args (@t256)) % 0.35/10.91 (step @p738 :rule nary_cong :premises (@p319 @p737) :args ((or @t270 (not @t257)))) % 0.35/10.91 (step @p739 :rule cnf_or_neg :args (@t270 6)) % 0.35/10.91 (step @p740 :rule eq_resolve :premises (@p739 @p738)) % 0.35/10.91 (step @p741 :rule reordering :premises (@p740) :args ((or @t256 @t270))) % 0.35/10.91 (step @p742 :rule chain_m_resolution :premises (@p741 @p294) :args (@t256 @t275 @t276)) % 0.35/10.91 (step @p743 :rule instantiate :premises (@p742) :args ((@list @t380))) % 0.35/10.91 (step @p744 :rule bool-double-not-elim :args (@t315)) % 0.35/10.91 (step @p745 :rule nary_cong :premises (@p472 @p744) :args ((or @t319 (not @t316)))) % 0.35/10.91 (step @p746 :rule cnf_or_neg :args (@t319 1)) % 0.35/10.91 (step @p747 :rule eq_resolve :premises (@p746 @p745)) % 0.35/10.91 (step @p748 :rule reordering :premises (@p747) :args ((or @t315 @t319))) % 0.35/10.91 (step @p749 :rule chain_m_resolution :premises (@p748 @p470) :args (@t315 @t275 @t320)) % 0.35/10.91 (step @p750 :rule true_intro :premises (@p749)) % 0.35/10.91 (step @p751 :rule trans :premises (@p651 @p552)) % 0.35/10.91 (step @p752 :rule cong :premises (@p381 @p751) :args (@t415)) % 0.35/10.91 (step @p753 :rule trans :premises (@p752 @p750)) % 0.35/10.91 (step @p754 :rule true_elim :premises (@p753)) % 0.35/10.91 (step @p755 :rule cnf_or_pos :args (@t418)) % 0.35/10.91 (step @p756 :rule reordering :premises (@p755) :args ((or @t392 @t417 @t416 (not @t418)))) % 0.35/10.91 (step @p757 :rule chain_m_resolution :premises (@p756 @p702 @p754 @p743) :args (@t416 (@list false false false) (@list @t391 @t415 @t418))) % 0.35/10.91 (step @p758 :rule cnf_equiv_pos2 :args (@t413)) % 0.35/10.91 (step @p759 :rule reordering :premises (@p758) :args ((or @t412 @t419 (not @t413)))) % 0.35/10.91 (step @p760 :rule chain_m_resolution :premises (@p759 @p757 @p736) :args (@t419 (@list true false) (@list @t412 @t413))) % 0.35/10.91 (step @p761 :rule false_intro :premises (@p760)) % 0.35/10.91 (step @p762 :rule symm :premises (@p761)) % 0.35/10.91 (step @p763 :rule trans :premises (@p762 @p707 @p478)) % 0.35/10.91 (step @p764 false :rule eq_resolve :premises (@p763 @p91)) % 0.35/10.91 ) % 0.35/10.91 % SZS output end Proof % 0.35/10.91 % cvc5 exiting %------------------------------------------------------------------------------