%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT343+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 : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:30:24 AM UTC 2026 % Result : Theorem 0.62s 0.84s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT343+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 % 0.15/0.34 % Computer : n019.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 06:39:19 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.62/0.84 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.62/0.84 % SZS status Theorem % 0.62/0.84 % SZS output start Proof % 0.62/0.84 ( % 0.62/0.84 (declare-sort $$unsorted 0) % 0.62/0.84 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.v4_lattice3 (-> $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.k8_conlat_1 (-> $$unsorted $$unsorted)) % 0.62/0.84 (declare-const tptp.k10_conlat_1 (-> $$unsorted $$unsorted)) % 0.62/0.84 (declare-const tptp.l1_conlat_1 (-> $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.v8_conlat_1 (-> $$unsorted $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.84 (declare-const tptp.u1_conlat_1 (-> $$unsorted $$unsorted)) % 0.62/0.84 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.k4_conlat_2 (-> $$unsorted $$unsorted)) % 0.62/0.84 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.m1_conlat_1 (-> $$unsorted $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.v7_conlat_1 (-> $$unsorted $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.v13_lattices (-> $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.v3_conlat_1 (-> $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.v14_lattices (-> $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.l2_conlat_1 (-> $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.v15_lattices (-> $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.k8_funct_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.84 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.62/0.84 (declare-const tptp.u2_conlat_1 (-> $$unsorted $$unsorted)) % 0.62/0.84 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.62/0.84 (declare-const tptp.k11_conlat_1 (-> $$unsorted $$unsorted)) % 0.62/0.84 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.62/0.84 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 0.62/0.84 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.84 (declare-const tptp.k5_conlat_2 (-> $$unsorted $$unsorted)) % 0.62/0.84 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 0.62/0.84 (declare-const tptp.k7_conlat_1 (-> $$unsorted $$unsorted)) % 0.62/0.84 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.62/0.84 (declare-const tptp.l3_conlat_1 (-> $$unsorted $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.v9_conlat_1 (-> $$unsorted $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.k9_conlat_1 (-> $$unsorted $$unsorted)) % 0.62/0.84 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 0.62/0.84 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 0.62/0.84 (define @t1 () (@var "A" $$unsorted)) % 0.62/0.84 (define @t2 () (@var "C" $$unsorted)) % 0.62/0.84 (define @t3 () (tptp.k5_conlat_2 @t1)) % 0.62/0.84 (define @t4 () (tptp.k11_conlat_1 @t1)) % 0.62/0.84 (define @t5 () (tptp.u1_struct_0 @t4)) % 0.62/0.84 (define @t6 () (tptp.u2_conlat_1 @t1)) % 0.62/0.84 (define @t7 () (tptp.k8_funct_2 @t6 @t5 @t3 @t2)) % 0.62/0.84 (define @t8 () (@var "B" $$unsorted)) % 0.62/0.84 (define @t9 () (tptp.k4_conlat_2 @t1)) % 0.62/0.84 (define @t10 () (tptp.u1_conlat_1 @t1)) % 0.62/0.84 (define @t11 () (tptp.k8_funct_2 @t10 @t5 @t9 @t8)) % 0.62/0.84 (define @t12 () (tptp.l3_conlat_1 @t11 @t1)) % 0.62/0.84 (define @t13 () (tptp.v9_conlat_1 @t11 @t1)) % 0.62/0.84 (define @t14 () (not (tptp.v7_conlat_1 @t11 @t1))) % 0.62/0.84 (define @t15 () (and @t14 @t13 @t12 (not (tptp.v7_conlat_1 @t7 @t1)) (tptp.v9_conlat_1 @t7 @t1) (tptp.l3_conlat_1 @t7 @t1))) % 0.62/0.84 (define @t16 () (tptp.m1_subset_1 @t2 @t6)) % 0.62/0.84 (define @t17 () (@list @t2)) % 0.62/0.84 (define @t18 () (forall @t17 (=> @t16 @t15))) % 0.62/0.84 (define @t19 () (tptp.m1_subset_1 @t8 @t10)) % 0.62/0.84 (define @t20 () (=> @t19 @t18)) % 0.62/0.84 (define @t21 () (@list @t8)) % 0.62/0.84 (define @t22 () (forall @t21 @t20)) % 0.62/0.84 (define @t23 () (tptp.l2_conlat_1 @t1)) % 0.62/0.84 (define @t24 () (tptp.v3_conlat_1 @t1)) % 0.62/0.84 (define @t25 () (not @t24)) % 0.62/0.84 (define @t26 () (and @t25 @t23)) % 0.62/0.84 (define @t27 () (=> @t26 @t22)) % 0.62/0.84 (define @t28 () (@list @t1)) % 0.62/0.84 (define @t29 () (forall @t28 @t27)) % 0.62/0.84 (define @t30 () (not @t29)) % 0.62/0.84 (define @t31 () (tptp.u1_lattices @t1)) % 0.62/0.84 (define @t32 () (tptp.u2_lattices @t1)) % 0.62/0.84 (define @t33 () (tptp.u1_struct_0 @t1)) % 0.62/0.84 (define @t34 () (= @t1 (tptp.g3_lattices @t33 @t32 @t31))) % 0.62/0.84 (define @t35 () (tptp.v3_lattices @t1)) % 0.62/0.84 (define @t36 () (=> @t35 @t34)) % 0.62/0.84 (define @t37 () (tptp.l3_lattices @t1)) % 0.62/0.84 (define @t38 () (forall @t28 (=> @t37 @t36))) % 0.62/0.84 (define @t39 () (tptp.r2_hidden @t1 @t8)) % 0.62/0.84 (define @t40 () (@list @t1 @t8)) % 0.62/0.84 (define @t41 () (tptp.v1_funct_2 @t2 @t1 @t8)) % 0.62/0.84 (define @t42 () (tptp.v1_funct_1 @t2)) % 0.62/0.84 (define @t43 () (and @t42 @t41)) % 0.62/0.84 (define @t44 () (tptp.v1_partfun1 @t2 @t1 @t8)) % 0.62/0.84 (define @t45 () (tptp.m1_relset_1 @t2 @t1 @t8)) % 0.62/0.84 (define @t46 () (@list @t1 @t8 @t2)) % 0.62/0.84 (define @t47 () (tptp.v9_lattices @t1)) % 0.62/0.84 (define @t48 () (tptp.v8_lattices @t1)) % 0.62/0.84 (define @t49 () (tptp.v7_lattices @t1)) % 0.62/0.84 (define @t50 () (tptp.v6_lattices @t1)) % 0.62/0.84 (define @t51 () (tptp.v5_lattices @t1)) % 0.62/0.84 (define @t52 () (tptp.v4_lattices @t1)) % 0.62/0.84 (define @t53 () (tptp.v3_struct_0 @t1)) % 0.62/0.84 (define @t54 () (not @t53)) % 0.62/0.84 (define @t55 () (and @t54 @t52 @t51 @t50 @t49 @t48 @t47)) % 0.62/0.84 (define @t56 () (tptp.v10_lattices @t1)) % 0.62/0.84 (define @t57 () (and @t54 @t56)) % 0.62/0.84 (define @t58 () (tptp.v1_relat_1 @t2)) % 0.62/0.84 (define @t59 () (tptp.k2_zfmisc_1 @t1 @t8)) % 0.62/0.84 (define @t60 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t59))) % 0.62/0.84 (define @t61 () (tptp.l3_conlat_1 @t8 @t1)) % 0.62/0.84 (define @t62 () (tptp.l1_conlat_1 @t1)) % 0.62/0.84 (define @t63 () (tptp.v15_lattices @t1)) % 0.62/0.84 (define @t64 () (and @t54 @t63)) % 0.62/0.84 (define @t65 () (tptp.v14_lattices @t1)) % 0.62/0.84 (define @t66 () (tptp.v13_lattices @t1)) % 0.62/0.84 (define @t67 () (and @t54 @t66 @t65)) % 0.62/0.84 (define @t68 () (tptp.v1_xboole_0 @t8)) % 0.62/0.84 (define @t69 () (not @t68)) % 0.62/0.84 (define @t70 () (tptp.v1_xboole_0 @t2)) % 0.62/0.84 (define @t71 () (tptp.v1_xboole_0 @t1)) % 0.62/0.84 (define @t72 () (not @t71)) % 0.62/0.84 (define @t73 () (and @t72 @t69)) % 0.62/0.84 (define @t74 () (and (not (tptp.v7_conlat_1 @t2 @t1)) (tptp.v9_conlat_1 @t2 @t1) (tptp.l3_conlat_1 @t2 @t1))) % 0.62/0.84 (define @t75 () (tptp.r2_hidden @t2 @t8)) % 0.62/0.84 (define @t76 () (forall @t17 (=> @t75 @t74))) % 0.62/0.84 (define @t77 () (tptp.m1_conlat_1 @t8 @t1)) % 0.62/0.84 (define @t78 () (= @t77 @t76)) % 0.62/0.84 (define @t79 () (=> @t69 @t78)) % 0.62/0.84 (define @t80 () (forall @t21 @t79)) % 0.62/0.84 (define @t81 () (=> @t26 @t80)) % 0.62/0.84 (define @t82 () (forall @t28 @t81)) % 0.62/0.84 (define @t83 () (tptp.k9_conlat_1 @t1)) % 0.62/0.84 (define @t84 () (tptp.k10_conlat_1 @t1)) % 0.62/0.84 (define @t85 () (tptp.k8_conlat_1 @t1)) % 0.62/0.84 (define @t86 () (= @t4 (tptp.g3_lattices @t85 @t84 @t83))) % 0.62/0.84 (define @t87 () (forall @t28 (=> @t26 @t86))) % 0.62/0.84 (define @t88 () (tptp.g3_lattices @t1 @t8 @t2)) % 0.62/0.84 (define @t89 () (tptp.v3_lattices @t88)) % 0.62/0.84 (define @t90 () (tptp.k2_zfmisc_1 @t1 @t1)) % 0.62/0.84 (define @t91 () (tptp.m1_relset_1 @t2 @t90 @t1)) % 0.62/0.84 (define @t92 () (tptp.v1_funct_2 @t2 @t90 @t1)) % 0.62/0.84 (define @t93 () (tptp.m1_relset_1 @t8 @t90 @t1)) % 0.62/0.84 (define @t94 () (tptp.v1_funct_2 @t8 @t90 @t1)) % 0.62/0.84 (define @t95 () (tptp.v1_funct_1 @t8)) % 0.62/0.84 (define @t96 () (and @t95 @t94 @t93 @t42 @t92 @t91)) % 0.62/0.84 (define @t97 () (tptp.k2_zfmisc_1 @t85 @t85)) % 0.62/0.84 (define @t98 () (tptp.v3_lattices @t4)) % 0.62/0.84 (define @t99 () (not (tptp.v3_struct_0 @t4))) % 0.62/0.84 (define @t100 () (and @t99 @t98 (tptp.l3_lattices @t4))) % 0.62/0.84 (define @t101 () (forall @t28 (=> @t26 @t100))) % 0.62/0.84 (define @t102 () (and (tptp.v1_funct_1 @t9) (tptp.v1_funct_2 @t9 @t10 @t5) (tptp.m2_relset_1 @t9 @t10 @t5))) % 0.62/0.84 (define @t103 () (forall @t28 (=> @t26 @t102))) % 0.62/0.84 (define @t104 () (and (tptp.v1_funct_1 @t3) (tptp.v1_funct_2 @t3 @t6 @t5) (tptp.m2_relset_1 @t3 @t6 @t5))) % 0.62/0.84 (define @t105 () (forall @t28 (=> @t26 @t104))) % 0.62/0.84 (define @t106 () (tptp.k7_conlat_1 @t1)) % 0.62/0.84 (define @t107 () (not (tptp.v1_xboole_0 @t106))) % 0.62/0.84 (define @t108 () (forall @t28 (=> @t26 @t107))) % 0.62/0.84 (define @t109 () (tptp.m1_conlat_1 @t85 @t1)) % 0.62/0.84 (define @t110 () (forall @t28 (=> @t26 @t109))) % 0.62/0.84 (define @t111 () (@var "D" $$unsorted)) % 0.62/0.84 (define @t112 () (tptp.k8_funct_2 @t1 @t8 @t2 @t111)) % 0.62/0.84 (define @t113 () (tptp.m1_subset_1 @t112 @t8)) % 0.62/0.84 (define @t114 () (tptp.m1_subset_1 @t111 @t1)) % 0.62/0.84 (define @t115 () (and @t72 @t42 @t41 @t45 @t114)) % 0.62/0.84 (define @t116 () (@list @t1 @t8 @t2 @t111)) % 0.62/0.84 (define @t117 () (forall @t116 (=> @t115 @t113))) % 0.62/0.84 (define @t118 () (tptp.l1_struct_0 @t1)) % 0.62/0.84 (define @t119 () (tptp.l1_lattices @t1)) % 0.62/0.84 (define @t120 () (forall @t28 (=> @t119 @t118))) % 0.62/0.84 (define @t121 () (forall @t28 (=> @t23 @t62))) % 0.62/0.84 (define @t122 () (tptp.l2_lattices @t1)) % 0.62/0.84 (define @t123 () (and @t119 @t122)) % 0.62/0.84 (define @t124 () (forall @t28 (=> @t37 @t123))) % 0.62/0.84 (define @t125 () (tptp.m2_relset_1 @t2 @t1 @t8)) % 0.62/0.84 (define @t126 () (tptp.k2_zfmisc_1 @t33 @t33)) % 0.62/0.84 (define @t127 () (tptp.v1_funct_2 @t31 @t126 @t33)) % 0.62/0.84 (define @t128 () (tptp.v1_funct_1 @t31)) % 0.62/0.84 (define @t129 () (and @t128 @t127 (tptp.m2_relset_1 @t31 @t126 @t33))) % 0.62/0.84 (define @t130 () (forall @t28 (=> @t119 @t129))) % 0.62/0.84 (define @t131 () (tptp.v1_funct_2 @t32 @t126 @t33)) % 0.62/0.84 (define @t132 () (tptp.v1_funct_1 @t32)) % 0.62/0.84 (define @t133 () (and @t132 @t131 (tptp.m2_relset_1 @t32 @t126 @t33))) % 0.62/0.84 (define @t134 () (forall @t28 (=> @t122 @t133))) % 0.62/0.84 (define @t135 () (not (tptp.v1_xboole_0 @t6))) % 0.62/0.84 (define @t136 () (and @t25 @t62)) % 0.62/0.84 (define @t137 () (forall @t28 (=> @t136 @t135))) % 0.62/0.84 (define @t138 () (tptp.v4_lattice3 @t4)) % 0.62/0.84 (define @t139 () (tptp.v10_lattices @t4)) % 0.62/0.84 (define @t140 () (tptp.v9_lattices @t4)) % 0.62/0.84 (define @t141 () (tptp.v8_lattices @t4)) % 0.62/0.84 (define @t142 () (tptp.v7_lattices @t4)) % 0.62/0.84 (define @t143 () (tptp.v6_lattices @t4)) % 0.62/0.84 (define @t144 () (tptp.v5_lattices @t4)) % 0.62/0.84 (define @t145 () (tptp.v4_lattices @t4)) % 0.62/0.84 (define @t146 () (not (tptp.v1_xboole_0 @t33))) % 0.62/0.84 (define @t147 () (and @t54 @t118)) % 0.62/0.84 (define @t148 () (forall @t28 (=> @t147 @t146))) % 0.62/0.84 (define @t149 () (tptp.k1_zfmisc_1 @t1)) % 0.62/0.84 (define @t150 () (not (tptp.v1_xboole_0 @t10))) % 0.62/0.84 (define @t151 () (forall @t28 (=> @t136 @t150))) % 0.62/0.84 (define @t152 () (tptp.v1_partfun1 @t32 @t126 @t33)) % 0.62/0.84 (define @t153 () (tptp.v1_relat_1 @t32)) % 0.62/0.84 (define @t154 () (tptp.v1_partfun1 @t31 @t126 @t33)) % 0.62/0.84 (define @t155 () (tptp.v1_relat_1 @t31)) % 0.62/0.84 (define @t156 () (@var "F" $$unsorted)) % 0.62/0.84 (define @t157 () (@var "E" $$unsorted)) % 0.62/0.84 (define @t158 () (and (= @t1 @t111) (= @t8 @t157) (= @t2 @t156))) % 0.62/0.84 (define @t159 () (= @t88 (tptp.g3_lattices @t111 @t157 @t156))) % 0.62/0.84 (define @t160 () (@list @t111 @t157 @t156)) % 0.62/0.84 (define @t161 () (forall @t160 (=> @t159 @t158))) % 0.62/0.84 (define @t162 () (=> @t96 @t161)) % 0.62/0.84 (define @t163 () (forall @t46 @t162)) % 0.62/0.84 (define @t164 () (tptp.m1_subset_1 @t8 @t149)) % 0.62/0.84 (define @t165 () (= @t85 @t106)) % 0.62/0.84 (define @t166 () (forall @t28 (=> @t26 @t165))) % 0.62/0.84 (define @t167 () (forall @t46 (= @t125 @t45))) % 0.62/0.84 (define @t168 () (tptp.m1_subset_1 @t1 @t8)) % 0.62/0.84 (define @t169 () (or @t68 @t39)) % 0.62/0.84 (define @t170 () (forall @t40 (=> @t168 @t169))) % 0.62/0.84 (define @t171 () (tptp.m1_subset_1 @t8 (tptp.k1_zfmisc_1 @t2))) % 0.62/0.84 (define @t172 () (@var "BOUND_VARIABLE_7937" $$unsorted)) % 0.62/0.84 (define @t173 () (tptp.k8_funct_2 @t6 @t5 @t3 @t172)) % 0.62/0.84 (define @t174 () (@var "BOUND_VARIABLE_7935" $$unsorted)) % 0.62/0.84 (define @t175 () (tptp.k8_funct_2 @t10 @t5 @t9 @t174)) % 0.62/0.84 (define @t176 () (and (not (tptp.v7_conlat_1 @t175 @t1)) (tptp.v9_conlat_1 @t175 @t1) (tptp.l3_conlat_1 @t175 @t1) (not (tptp.v7_conlat_1 @t173 @t1)) (tptp.v9_conlat_1 @t173 @t1) (tptp.l3_conlat_1 @t173 @t1))) % 0.62/0.84 (define @t177 () (not (tptp.m1_subset_1 @t172 @t6))) % 0.62/0.84 (define @t178 () (not (tptp.m1_subset_1 @t174 @t10))) % 0.62/0.84 (define @t179 () (not @t23)) % 0.62/0.84 (define @t180 () (or @t24 @t179 @t178 @t177 @t176)) % 0.62/0.84 (define @t181 () (or @t178 @t177 @t176)) % 0.62/0.84 (define @t182 () (or @t24 @t179 @t181)) % 0.62/0.84 (define @t183 () (@list @t1 @t174 @t172)) % 0.62/0.84 (define @t184 () (forall @t183 @t182)) % 0.62/0.84 (define @t185 () (@list @t174 @t172)) % 0.62/0.84 (define @t186 () (forall @t185 @t182)) % 0.62/0.84 (define @t187 () (forall @t185 @t181)) % 0.62/0.84 (define @t188 () (@var "BOUND_VARIABLE_7912" $$unsorted)) % 0.62/0.84 (define @t189 () (or @t24 @t179 @t187)) % 0.62/0.84 (define @t190 () (tptp.k8_funct_2 @t6 @t5 @t3 @t188)) % 0.62/0.84 (define @t191 () (and @t14 @t13 @t12 (not (tptp.v7_conlat_1 @t190 @t1)) (tptp.v9_conlat_1 @t190 @t1) (tptp.l3_conlat_1 @t190 @t1))) % 0.62/0.84 (define @t192 () (not (tptp.m1_subset_1 @t188 @t6))) % 0.62/0.84 (define @t193 () (not @t19)) % 0.62/0.84 (define @t194 () (or @t193 @t192 @t191)) % 0.62/0.84 (define @t195 () (@list @t8 @t188)) % 0.62/0.84 (define @t196 () (forall @t195 @t194)) % 0.62/0.84 (define @t197 () (or @t24 @t179 @t196)) % 0.62/0.84 (define @t198 () (or @t24 @t179)) % 0.62/0.84 (define @t199 () (not @t25)) % 0.62/0.84 (define @t200 () (not @t26)) % 0.62/0.84 (define @t201 () (or @t192 @t191)) % 0.62/0.84 (define @t202 () (or @t193 @t201)) % 0.62/0.84 (define @t203 () (forall @t195 @t202)) % 0.62/0.84 (define @t204 () (@list @t188)) % 0.62/0.84 (define @t205 () (forall @t204 @t202)) % 0.62/0.84 (define @t206 () (forall @t204 @t201)) % 0.62/0.84 (define @t207 () (or @t193 @t206)) % 0.62/0.84 (define @t208 () (forall @t17 (or (not @t16) @t15))) % 0.62/0.84 (define @t209 () (forall @t183 @t180)) % 0.62/0.84 (define @t210 () (@quantifiers_skolemize @t209 0)) % 0.62/0.84 (define @t211 () (@quantifiers_skolemize @t209 2)) % 0.62/0.84 (define @t212 () (tptp.k5_conlat_2 @t210)) % 0.62/0.84 (define @t213 () (tptp.k11_conlat_1 @t210)) % 0.62/0.84 (define @t214 () (tptp.u1_struct_0 @t213)) % 0.62/0.84 (define @t215 () (tptp.u2_conlat_1 @t210)) % 0.62/0.84 (define @t216 () (tptp.k8_funct_2 @t215 @t214 @t212 @t211)) % 0.62/0.84 (define @t217 () (tptp.l3_conlat_1 @t216 @t210)) % 0.62/0.84 (define @t218 () (tptp.v9_conlat_1 @t216 @t210)) % 0.62/0.84 (define @t219 () (tptp.v7_conlat_1 @t216 @t210)) % 0.62/0.84 (define @t220 () (not @t219)) % 0.62/0.84 (define @t221 () (@quantifiers_skolemize @t209 1)) % 0.62/0.84 (define @t222 () (tptp.k4_conlat_2 @t210)) % 0.62/0.84 (define @t223 () (tptp.u1_conlat_1 @t210)) % 0.62/0.84 (define @t224 () (tptp.k8_funct_2 @t223 @t214 @t222 @t221)) % 0.62/0.84 (define @t225 () (tptp.l3_conlat_1 @t224 @t210)) % 0.62/0.84 (define @t226 () (tptp.v9_conlat_1 @t224 @t210)) % 0.62/0.84 (define @t227 () (tptp.v7_conlat_1 @t224 @t210)) % 0.62/0.84 (define @t228 () (not @t227)) % 0.62/0.84 (define @t229 () (and @t228 @t226 @t225 @t220 @t218 @t217)) % 0.62/0.84 (define @t230 () (tptp.m1_subset_1 @t211 @t215)) % 0.62/0.84 (define @t231 () (not @t230)) % 0.62/0.84 (define @t232 () (tptp.m1_subset_1 @t221 @t223)) % 0.62/0.84 (define @t233 () (not @t232)) % 0.62/0.84 (define @t234 () (tptp.l2_conlat_1 @t210)) % 0.62/0.84 (define @t235 () (not @t234)) % 0.62/0.84 (define @t236 () (tptp.v3_conlat_1 @t210)) % 0.62/0.84 (define @t237 () (or @t236 @t235 @t233 @t231 @t229)) % 0.62/0.84 (define @t238 () (@list true)) % 0.62/0.84 (define @t239 () (@list @t237)) % 0.62/0.84 (define @t240 () (@var "BOUND_VARIABLE_8108" $$unsorted)) % 0.62/0.84 (define @t241 () (= (tptp.m1_conlat_1 @t240 @t1) (forall @t17 (or (not (tptp.r2_hidden @t2 @t240)) @t74)))) % 0.62/0.84 (define @t242 () (tptp.v1_xboole_0 @t240)) % 0.62/0.84 (define @t243 () (or @t242 @t241)) % 0.62/0.84 (define @t244 () (or @t24 @t179 @t243)) % 0.62/0.84 (define @t245 () (forall (@list @t1 @t240) @t244)) % 0.62/0.84 (define @t246 () (@list @t240)) % 0.62/0.84 (define @t247 () (forall @t246 @t244)) % 0.62/0.84 (define @t248 () (forall @t246 @t243)) % 0.62/0.84 (define @t249 () (or @t24 @t179 @t248)) % 0.62/0.84 (define @t250 () (= @t77 (forall @t17 (or (not @t75) @t74)))) % 0.62/0.84 (define @t251 () (forall @t21 (or @t68 @t250))) % 0.62/0.84 (define @t252 () (or @t24 @t179 @t251)) % 0.62/0.84 (define @t253 () (tptp.k8_conlat_1 @t210)) % 0.62/0.84 (define @t254 () (@list @t210)) % 0.62/0.84 (define @t255 () (tptp.k7_conlat_1 @t210)) % 0.62/0.84 (define @t256 () (not (tptp.v1_xboole_0 @t255))) % 0.62/0.84 (define @t257 () (or @t236 @t235 @t256)) % 0.62/0.84 (define @t258 () (@list true false false)) % 0.62/0.84 (define @t259 () (= @t253 @t255)) % 0.62/0.84 (define @t260 () (or @t236 @t235 @t259)) % 0.62/0.84 (define @t261 () (tptp.v1_xboole_0 @t253)) % 0.62/0.84 (define @t262 () (forall @t17 (or (not (tptp.r2_hidden @t2 @t253)) (and (not (tptp.v7_conlat_1 @t2 @t210)) (tptp.v9_conlat_1 @t2 @t210) (tptp.l3_conlat_1 @t2 @t210))))) % 0.62/0.84 (define @t263 () (tptp.m1_conlat_1 @t253 @t210)) % 0.62/0.84 (define @t264 () (= @t263 @t262)) % 0.62/0.84 (define @t265 () (or @t236 @t235 @t261 @t264)) % 0.62/0.84 (define @t266 () (or @t236 @t235 @t263)) % 0.62/0.84 (define @t267 () (@list false false)) % 0.62/0.84 (define @t268 () (not @t168)) % 0.62/0.84 (define @t269 () (not @t114)) % 0.62/0.84 (define @t270 () (not @t45)) % 0.62/0.84 (define @t271 () (not @t41)) % 0.62/0.84 (define @t272 () (not @t42)) % 0.62/0.84 (define @t273 () (not @t72)) % 0.62/0.84 (define @t274 () (or @t273 @t272 @t271 @t270 @t269)) % 0.62/0.84 (define @t275 () (tptp.m1_relset_1 @t212 @t215 @t214)) % 0.62/0.84 (define @t276 () (tptp.m2_relset_1 @t212 @t215 @t214)) % 0.62/0.84 (define @t277 () (forall @t46 (= @t45 @t125))) % 0.62/0.84 (define @t278 () (= @t275 @t276)) % 0.62/0.84 (define @t279 () (= @t276 @t275)) % 0.62/0.84 (define @t280 () (@list false)) % 0.62/0.84 (define @t281 () (@list @t277)) % 0.62/0.84 (define @t282 () (tptp.v1_funct_2 @t212 @t215 @t214)) % 0.62/0.84 (define @t283 () (tptp.v1_funct_1 @t212)) % 0.62/0.84 (define @t284 () (and @t283 @t282 @t276)) % 0.62/0.84 (define @t285 () (or @t236 @t235 @t284)) % 0.62/0.84 (define @t286 () (not @t284)) % 0.62/0.84 (define @t287 () (@list @t284)) % 0.62/0.84 (define @t288 () (not @t62)) % 0.62/0.84 (define @t289 () (or @t24 @t288)) % 0.62/0.84 (define @t290 () (not @t136)) % 0.62/0.84 (define @t291 () (tptp.l1_conlat_1 @t210)) % 0.62/0.84 (define @t292 () (or @t235 @t291)) % 0.62/0.84 (define @t293 () (tptp.v1_xboole_0 @t215)) % 0.62/0.84 (define @t294 () (not @t293)) % 0.62/0.84 (define @t295 () (not @t291)) % 0.62/0.84 (define @t296 () (or @t236 @t295 @t294)) % 0.62/0.84 (define @t297 () (tptp.m1_subset_1 @t216 @t214)) % 0.62/0.84 (define @t298 () (not @t275)) % 0.62/0.84 (define @t299 () (not @t282)) % 0.62/0.84 (define @t300 () (not @t283)) % 0.62/0.84 (define @t301 () (or @t293 @t300 @t299 @t298 @t231 @t297)) % 0.62/0.84 (define @t302 () (@list false true false false false false)) % 0.62/0.84 (define @t303 () (not @t118)) % 0.62/0.84 (define @t304 () (@list @t213)) % 0.62/0.84 (define @t305 () (tptp.l3_lattices @t213)) % 0.62/0.84 (define @t306 () (tptp.v3_lattices @t213)) % 0.62/0.84 (define @t307 () (tptp.v3_struct_0 @t213)) % 0.62/0.84 (define @t308 () (not @t307)) % 0.62/0.84 (define @t309 () (and @t308 @t306 @t305)) % 0.62/0.84 (define @t310 () (or @t236 @t235 @t309)) % 0.62/0.84 (define @t311 () (not @t309)) % 0.62/0.84 (define @t312 () (@list @t309)) % 0.62/0.84 (define @t313 () (tptp.l2_lattices @t213)) % 0.62/0.84 (define @t314 () (tptp.l1_lattices @t213)) % 0.62/0.84 (define @t315 () (and @t314 @t313)) % 0.62/0.84 (define @t316 () (not @t305)) % 0.62/0.84 (define @t317 () (or @t316 @t315)) % 0.62/0.84 (define @t318 () (not @t315)) % 0.62/0.84 (define @t319 () (@list @t315)) % 0.62/0.84 (define @t320 () (tptp.l1_struct_0 @t213)) % 0.62/0.84 (define @t321 () (not @t314)) % 0.62/0.84 (define @t322 () (or @t321 @t320)) % 0.62/0.84 (define @t323 () (tptp.v1_xboole_0 @t214)) % 0.62/0.84 (define @t324 () (not @t323)) % 0.62/0.84 (define @t325 () (not @t320)) % 0.62/0.84 (define @t326 () (or @t307 @t325 @t324)) % 0.62/0.84 (define @t327 () (tptp.r2_hidden @t216 @t214)) % 0.62/0.84 (define @t328 () (not @t297)) % 0.62/0.84 (define @t329 () (or @t328 @t323 @t327)) % 0.62/0.84 (define @t330 () (@var "BOUND_VARIABLE_8315" $$unsorted)) % 0.62/0.84 (define @t331 () (@var "BOUND_VARIABLE_8313" $$unsorted)) % 0.62/0.84 (define @t332 () (@var "BOUND_VARIABLE_8311" $$unsorted)) % 0.62/0.84 (define @t333 () (and (= @t1 @t332) (= @t8 @t331) (= @t2 @t330))) % 0.62/0.84 (define @t334 () (not (= @t88 (tptp.g3_lattices @t332 @t331 @t330)))) % 0.62/0.84 (define @t335 () (not @t91)) % 0.62/0.84 (define @t336 () (not @t92)) % 0.62/0.84 (define @t337 () (not @t93)) % 0.62/0.84 (define @t338 () (not @t94)) % 0.62/0.84 (define @t339 () (not @t95)) % 0.62/0.84 (define @t340 () (or @t334 @t333)) % 0.62/0.84 (define @t341 () (or @t339 @t338 @t337 @t272 @t336 @t335 @t340)) % 0.62/0.84 (define @t342 () (forall (@list @t1 @t8 @t2 @t332 @t331 @t330) @t341)) % 0.62/0.84 (define @t343 () (@list @t332 @t331 @t330)) % 0.62/0.84 (define @t344 () (forall @t343 @t341)) % 0.62/0.84 (define @t345 () (forall @t343 @t340)) % 0.62/0.84 (define @t346 () (or @t339 @t338 @t337 @t272 @t336 @t335 @t345)) % 0.62/0.84 (define @t347 () (forall @t160 (or (not @t159) @t158))) % 0.62/0.84 (define @t348 () (or @t339 @t338 @t337 @t272 @t336 @t335 @t347)) % 0.62/0.84 (define @t349 () (or @t339 @t338 @t337 @t272 @t336 @t335)) % 0.62/0.84 (define @t350 () (tptp.k9_conlat_1 @t210)) % 0.62/0.84 (define @t351 () (tptp.k10_conlat_1 @t210)) % 0.62/0.84 (define @t352 () (tptp.u1_lattices @t213)) % 0.62/0.84 (define @t353 () (tptp.u2_lattices @t213)) % 0.62/0.84 (define @t354 () (tptp.g3_lattices @t253 @t351 @t350)) % 0.62/0.84 (define @t355 () (= @t213 @t354)) % 0.62/0.84 (define @t356 () (or @t236 @t235 @t355)) % 0.62/0.84 (define @t357 () (not @t35)) % 0.62/0.84 (define @t358 () (not @t37)) % 0.62/0.84 (define @t359 () (tptp.g3_lattices @t214 @t353 @t352)) % 0.62/0.84 (define @t360 () (= @t213 @t359)) % 0.62/0.84 (define @t361 () (not @t306)) % 0.62/0.84 (define @t362 () (or @t316 @t361 @t360)) % 0.62/0.84 (define @t363 () (tptp.k2_zfmisc_1 @t214 @t214)) % 0.62/0.84 (define @t364 () (tptp.m1_relset_1 @t352 @t363 @t214)) % 0.62/0.84 (define @t365 () (tptp.m2_relset_1 @t352 @t363 @t214)) % 0.62/0.84 (define @t366 () (= @t364 @t365)) % 0.62/0.84 (define @t367 () (= @t365 @t364)) % 0.62/0.84 (define @t368 () (tptp.v1_funct_2 @t352 @t363 @t214)) % 0.62/0.84 (define @t369 () (tptp.v1_funct_1 @t352)) % 0.62/0.84 (define @t370 () (and @t369 @t368 @t365)) % 0.62/0.84 (define @t371 () (or @t321 @t370)) % 0.62/0.84 (define @t372 () (not @t370)) % 0.62/0.84 (define @t373 () (@list @t370)) % 0.62/0.84 (define @t374 () (tptp.m1_relset_1 @t353 @t363 @t214)) % 0.62/0.84 (define @t375 () (tptp.m2_relset_1 @t353 @t363 @t214)) % 0.62/0.84 (define @t376 () (= @t374 @t375)) % 0.62/0.84 (define @t377 () (= @t375 @t374)) % 0.62/0.84 (define @t378 () (tptp.v1_funct_2 @t353 @t363 @t214)) % 0.62/0.84 (define @t379 () (tptp.v1_funct_1 @t353)) % 0.62/0.84 (define @t380 () (and @t379 @t378 @t375)) % 0.62/0.84 (define @t381 () (not @t313)) % 0.62/0.84 (define @t382 () (or @t381 @t380)) % 0.62/0.84 (define @t383 () (not @t380)) % 0.62/0.84 (define @t384 () (@list @t380)) % 0.62/0.84 (define @t385 () (= @t214 @t253)) % 0.62/0.84 (define @t386 () (and @t385 (= @t353 @t351) (= @t352 @t350))) % 0.62/0.84 (define @t387 () (= @t359 @t354)) % 0.62/0.84 (define @t388 () (not @t387)) % 0.62/0.84 (define @t389 () (not @t364)) % 0.62/0.84 (define @t390 () (not @t368)) % 0.62/0.84 (define @t391 () (not @t369)) % 0.62/0.84 (define @t392 () (not @t374)) % 0.62/0.84 (define @t393 () (not @t378)) % 0.62/0.84 (define @t394 () (not @t379)) % 0.62/0.84 (define @t395 () (or @t394 @t393 @t392 @t391 @t390 @t389 @t388 @t386)) % 0.62/0.84 (define @t396 () (tptp.r2_hidden @t216 @t253)) % 0.62/0.84 (define @t397 () (and @t220 @t218 @t217)) % 0.62/0.84 (define @t398 () (not @t396)) % 0.62/0.84 (define @t399 () (or @t398 @t397)) % 0.62/0.84 (define @t400 () (not @t397)) % 0.62/0.84 (define @t401 () (@list @t397)) % 0.62/0.84 (define @t402 () (tptp.m1_relset_1 @t222 @t223 @t214)) % 0.62/0.84 (define @t403 () (tptp.m2_relset_1 @t222 @t223 @t214)) % 0.62/0.84 (define @t404 () (= @t402 @t403)) % 0.62/0.84 (define @t405 () (= @t403 @t402)) % 0.62/0.84 (define @t406 () (tptp.v1_funct_2 @t222 @t223 @t214)) % 0.62/0.84 (define @t407 () (tptp.v1_funct_1 @t222)) % 0.62/0.84 (define @t408 () (and @t407 @t406 @t403)) % 0.62/0.84 (define @t409 () (or @t236 @t235 @t408)) % 0.62/0.84 (define @t410 () (not @t408)) % 0.62/0.84 (define @t411 () (@list @t408)) % 0.62/0.84 (define @t412 () (tptp.v1_xboole_0 @t223)) % 0.62/0.84 (define @t413 () (not @t412)) % 0.62/0.84 (define @t414 () (or @t236 @t295 @t413)) % 0.62/0.84 (define @t415 () (tptp.m1_subset_1 @t224 @t214)) % 0.62/0.84 (define @t416 () (not @t402)) % 0.62/0.84 (define @t417 () (not @t406)) % 0.62/0.84 (define @t418 () (not @t407)) % 0.62/0.84 (define @t419 () (or @t412 @t418 @t417 @t416 @t233 @t415)) % 0.62/0.84 (define @t420 () (tptp.r2_hidden @t224 @t214)) % 0.62/0.84 (define @t421 () (not @t415)) % 0.62/0.84 (define @t422 () (or @t421 @t323 @t420)) % 0.62/0.84 (define @t423 () (tptp.r2_hidden @t224 @t253)) % 0.62/0.84 (define @t424 () (and @t228 @t226 @t225)) % 0.62/0.84 (define @t425 () (not @t423)) % 0.62/0.84 (define @t426 () (or @t425 @t424)) % 0.62/0.84 (define @t427 () (not @t424)) % 0.62/0.84 (define @t428 () (@list @t424)) % 0.62/0.84 (define @t429 () (not @t217)) % 0.62/0.84 (define @t430 () (not @t218)) % 0.62/0.84 (define @t431 () (not @t225)) % 0.62/0.84 (define @t432 () (not @t226)) % 0.62/0.84 (assume @p1 @t30) % 0.62/0.84 (assume @p2 @t38) % 0.62/0.84 (assume @p3 (forall @t40 (=> @t39 (not (tptp.r2_hidden @t8 @t1))))) % 0.62/0.84 (assume @p4 (forall @t46 (=> @t45 (=> (and @t42 @t44) @t43)))) % 0.62/0.84 (assume @p5 (forall @t28 (=> @t37 (=> @t57 @t55)))) % 0.62/0.84 (assume @p6 (forall @t46 (=> @t60 @t58))) % 0.62/0.84 (assume @p7 (forall @t28 (=> (and @t24 @t62) (forall @t21 (=> @t61 (tptp.v8_conlat_1 @t8 @t1)))))) % 0.62/0.84 (assume @p8 (forall @t28 (=> @t37 (=> @t55 @t57)))) % 0.62/0.84 (assume @p9 (forall @t28 (=> @t37 (=> @t67 @t64)))) % 0.62/0.84 (assume @p10 (forall @t28 (=> @t37 (=> @t64 @t67)))) % 0.62/0.84 (assume @p11 (forall @t40 (=> @t69 (forall @t17 (=> @t45 (=> @t43 (and @t42 @t44 @t41))))))) % 0.62/0.84 (assume @p12 (forall @t40 (=> @t73 (forall @t17 (=> @t45 (=> @t43 (and @t42 (not @t70) @t44 @t41))))))) % 0.62/0.84 (assume @p13 @t82) % 0.62/0.84 (assume @p14 @t87) % 0.62/0.84 (assume @p15 (forall @t46 (=> @t96 (and @t89 (tptp.l3_lattices @t88))))) % 0.62/0.84 (assume @p16 (forall @t28 (=> @t26 (and (tptp.v1_funct_1 @t84) (tptp.v1_funct_2 @t84 @t97 @t85) (tptp.m2_relset_1 @t84 @t97 @t85))))) % 0.62/0.84 (assume @p17 @t101) % 0.62/0.84 (assume @p18 true) % 0.62/0.84 (assume @p19 @t103) % 0.62/0.84 (assume @p20 @t105) % 0.62/0.84 (assume @p21 @t108) % 0.62/0.84 (assume @p22 @t110) % 0.62/0.84 (assume @p23 @t117) % 0.62/0.84 (assume @p24 (forall @t28 (=> @t26 (and (tptp.v1_funct_1 @t83) (tptp.v1_funct_2 @t83 @t97 @t85) (tptp.m2_relset_1 @t83 @t97 @t85))))) % 0.62/0.84 (assume @p25 @t120) % 0.62/0.84 (assume @p26 @t121) % 0.62/0.84 (assume @p27 (forall @t28 (=> @t122 @t118))) % 0.62/0.84 (assume @p28 @t124) % 0.62/0.84 (assume @p29 (forall @t28 (=> @t26 (forall @t21 (=> @t77 @t69))))) % 0.62/0.84 (assume @p30 (forall @t46 (=> @t125 @t60))) % 0.62/0.84 (assume @p31 @t130) % 0.62/0.84 (assume @p32 @t134) % 0.62/0.84 (assume @p33 (exists @t28 @t62)) % 0.62/0.84 (assume @p34 (exists @t28 @t119)) % 0.62/0.84 (assume @p35 (exists @t28 @t118)) % 0.62/0.84 (assume @p36 (exists @t28 @t23)) % 0.62/0.84 (assume @p37 (exists @t28 @t122)) % 0.62/0.84 (assume @p38 (forall @t28 (=> @t62 (exists @t21 @t61)))) % 0.62/0.84 (assume @p39 (exists @t28 @t37)) % 0.62/0.84 (assume @p40 (forall @t28 (=> @t26 (exists @t21 @t77)))) % 0.62/0.84 (assume @p41 (forall @t40 (exists @t17 @t45))) % 0.62/0.84 (assume @p42 (forall @t28 (exists @t21 (tptp.m1_subset_1 @t8 @t1)))) % 0.62/0.84 (assume @p43 (forall @t40 (exists @t17 @t125))) % 0.62/0.84 (assume @p44 @t137) % 0.62/0.84 (assume @p45 (forall @t28 (=> @t26 (and @t99 @t98 @t145 @t144 @t143 @t142 @t141 @t140 @t139 (tptp.v13_lattices @t4) (tptp.v14_lattices @t4) (tptp.v15_lattices @t4) @t138)))) % 0.62/0.84 (assume @p46 @t148) % 0.62/0.84 (assume @p47 (forall @t28 (not (tptp.v1_xboole_0 @t149)))) % 0.62/0.84 (assume @p48 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.62/0.84 (assume @p49 @t151) % 0.62/0.84 (assume @p50 (forall @t28 (=> (and @t54 @t52 @t122) (and @t153 @t132 @t131 (tptp.v1_binop_1 @t32 @t33) @t152)))) % 0.62/0.84 (assume @p51 (forall @t28 (=> (and @t54 @t51 @t122) (and @t153 @t132 @t131 (tptp.v2_binop_1 @t32 @t33) @t152)))) % 0.62/0.84 (assume @p52 (forall @t46 (=> (and @t72 @t95 @t94 @t93 @t42 @t92 @t91) (and (not (tptp.v3_struct_0 @t88)) @t89)))) % 0.62/0.84 (assume @p53 (forall @t28 (=> @t26 (and @t99 @t98 @t145 @t144 @t143 @t142 @t141 @t140 @t139)))) % 0.62/0.84 (assume @p54 (forall @t28 (=> (and @t54 @t50 @t119) (and @t155 @t128 @t127 (tptp.v1_binop_1 @t31 @t33) @t154)))) % 0.62/0.84 (assume @p55 (forall @t40 (=> @t73 (not (tptp.v1_xboole_0 @t59))))) % 0.62/0.84 (assume @p56 (forall @t28 (=> @t26 (and @t99 @t98 @t145 @t144 @t143 @t142 @t141 @t140 @t139 @t138)))) % 0.62/0.84 (assume @p57 (forall @t28 (=> (and @t54 @t49 @t119) (and @t155 @t128 @t127 (tptp.v2_binop_1 @t31 @t33) @t154)))) % 0.62/0.84 (assume @p58 @t163) % 0.62/0.84 (assume @p59 (exists @t28 (and @t37 @t54 @t35 @t52 @t51 @t50 @t49 @t48 @t47 @t56 @t66 @t65 @t63))) % 0.62/0.84 (assume @p60 (forall @t28 (=> @t26 (exists @t21 (and @t61 (not (tptp.v7_conlat_1 @t8 @t1)) (tptp.v9_conlat_1 @t8 @t1)))))) % 0.62/0.84 (assume @p61 (forall @t40 (exists @t17 (and @t45 @t58 @t42 @t41)))) % 0.62/0.84 (assume @p62 (forall @t28 (=> @t72 (exists @t21 (and @t164 @t69))))) % 0.62/0.84 (assume @p63 (exists @t28 @t71)) % 0.62/0.84 (assume @p64 (forall @t40 (exists @t17 (and @t45 @t58 @t42)))) % 0.62/0.84 (assume @p65 (forall @t28 (exists @t21 (and @t164 @t68)))) % 0.62/0.84 (assume @p66 (exists @t28 @t72)) % 0.62/0.84 (assume @p67 (exists @t28 (and @t37 @t35))) % 0.62/0.84 (assume @p68 (exists @t28 (and @t118 @t54))) % 0.62/0.84 (assume @p69 (forall @t28 (=> @t147 (exists @t21 (and (tptp.m1_subset_1 @t8 (tptp.k1_zfmisc_1 @t33)) @t69))))) % 0.62/0.84 (assume @p70 (exists @t28 (and @t37 @t54 @t35))) % 0.62/0.84 (assume @p71 (forall @t28 (=> @t136 (exists @t21 (and (tptp.m1_subset_1 @t8 (tptp.k1_zfmisc_1 @t10)) @t69))))) % 0.62/0.84 (assume @p72 (forall @t28 (=> @t136 (exists @t21 (and (tptp.m1_subset_1 @t8 (tptp.k1_zfmisc_1 @t6)) @t69))))) % 0.62/0.84 (assume @p73 (exists @t28 (and @t37 @t54 @t35 @t52 @t51 @t50 @t49 @t48 @t47 @t56))) % 0.62/0.84 (assume @p74 @t166) % 0.62/0.84 (assume @p75 (forall @t116 (=> @t115 (= @t112 (tptp.k1_funct_1 @t2 @t111))))) % 0.62/0.84 (assume @p76 @t167) % 0.62/0.84 (assume @p77 (forall @t40 (tptp.r1_tarski @t1 @t1))) % 0.62/0.84 (assume @p78 (forall @t40 (=> @t39 @t168))) % 0.62/0.84 (assume @p79 @t170) % 0.62/0.84 (assume @p80 (forall @t40 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t8)) (tptp.r1_tarski @t1 @t8)))) % 0.62/0.84 (assume @p81 (forall @t46 (=> (and @t39 @t171) (tptp.m1_subset_1 @t1 @t2)))) % 0.62/0.84 (assume @p82 (forall @t46 (not (and @t39 @t171 @t70)))) % 0.62/0.84 (assume @p83 (forall @t28 (=> @t71 (= @t1 tptp.k1_xboole_0)))) % 0.62/0.84 (assume @p84 (forall @t40 (not (and @t39 @t68)))) % 0.62/0.84 (assume @p85 (forall @t40 (not (and @t71 (not (= @t1 @t8)) @t68)))) % 0.62/0.84 (step @p86 :rule aci_norm :args ((= @t182 @t180))) % 0.62/0.84 (step @p87 :rule cong :premises (@p86) :args (@t184)) % 0.62/0.84 (step @p88 :rule quant-merge-prenex :args ((= (forall @t28 @t186) @t184))) % 0.62/0.84 (step @p89 :rule alpha_equiv :args (@t187 (@list @t174 @t172) (@list @t8 @t188))) % 0.62/0.84 (step @p90 :rule refl :args (@t179)) % 0.62/0.84 (step @p91 :rule refl :args (@t24)) % 0.62/0.84 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89) :args (@t189)) % 0.62/0.84 (step @p93 :rule quant-miniscope-or :args ((= @t186 @t189))) % 0.62/0.85 (step @p94 :rule trans :premises (@p93 @p92)) % 0.62/0.85 (step @p95 :rule symm :premises (@p94)) % 0.62/0.85 (step @p96 :rule cong :premises (@p95) :args ((forall @t28 @t197))) % 0.62/0.85 (step @p97 :rule trans :premises (@p96 @p88)) % 0.62/0.85 (step @p98 :rule trans :premises (@p97 @p87)) % 0.62/0.85 (step @p99 :rule aci_norm :args ((= (or @t198 @t196) @t197))) % 0.62/0.85 (step @p100 :rule refl :args (@t196)) % 0.62/0.85 (step @p101 :rule bool-double-not-elim :args (@t24)) % 0.62/0.85 (step @p102 :rule nary_cong :premises (@p101 @p90) :args ((or @t199 @t179))) % 0.62/0.85 (step @p103 :rule bool-and-de-morgan :args (@t25 @t23 true)) % 0.62/0.85 (step @p104 :rule trans :premises (@p103 @p102)) % 0.62/0.85 (step @p105 :rule nary_cong :premises (@p104 @p100) :args ((or @t200 @t196))) % 0.62/0.85 (step @p106 :rule trans :premises (@p105 @p99)) % 0.62/0.85 (step @p107 :rule bool-impl-elim :args (@t26 @t196)) % 0.62/0.85 (step @p108 :rule trans :premises (@p107 @p106)) % 0.62/0.85 (step @p109 :rule cong :premises (@p108) :args ((forall @t28 (=> @t26 @t196)))) % 0.62/0.85 (step @p110 :rule trans :premises (@p109 @p98)) % 0.62/0.85 (step @p111 :rule aci_norm :args ((= @t202 @t194))) % 0.62/0.85 (step @p112 :rule cong :premises (@p111) :args (@t203)) % 0.62/0.85 (step @p113 :rule quant-merge-prenex :args ((= (forall @t21 @t205) @t203))) % 0.62/0.85 (step @p114 :rule alpha_equiv :args (@t206 (@list @t188) (@list @t2))) % 0.62/0.85 (step @p115 :rule refl :args (@t193)) % 0.62/0.85 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t207)) % 0.62/0.85 (step @p117 :rule quant-miniscope-or :args ((= @t205 @t207))) % 0.62/0.85 (step @p118 :rule trans :premises (@p117 @p116)) % 0.62/0.85 (step @p119 :rule symm :premises (@p118)) % 0.62/0.85 (step @p120 :rule cong :premises (@p119) :args ((forall @t21 (or @t193 @t208)))) % 0.62/0.85 (step @p121 :rule trans :premises (@p120 @p113)) % 0.62/0.85 (step @p122 :rule trans :premises (@p121 @p112)) % 0.62/0.85 (step @p123 :rule bool-impl-elim :args (@t19 @t208)) % 0.62/0.85 (step @p124 :rule cong :premises (@p123) :args ((forall @t21 (=> @t19 @t208)))) % 0.62/0.85 (step @p125 :rule trans :premises (@p124 @p122)) % 0.62/0.85 (step @p126 :rule bool-impl-elim :args (@t16 @t15)) % 0.62/0.85 (step @p127 :rule cong :premises (@p126) :args (@t18)) % 0.62/0.85 (step @p128 :rule refl :args (@t19)) % 0.62/0.85 (step @p129 :rule cong :premises (@p128 @p127) :args (@t20)) % 0.62/0.85 (step @p130 :rule cong :premises (@p129) :args (@t22)) % 0.62/0.85 (step @p131 :rule trans :premises (@p130 @p125)) % 0.62/0.85 (step @p132 :rule refl :args (@t26)) % 0.62/0.85 (step @p133 :rule cong :premises (@p132 @p131) :args (@t27)) % 0.62/0.85 (step @p134 :rule cong :premises (@p133) :args (@t29)) % 0.62/0.85 (step @p135 :rule trans :premises (@p134 @p110)) % 0.62/0.85 (step @p136 :rule cong :premises (@p135) :args (@t30)) % 0.62/0.85 (step @p137 :rule eq_resolve :premises (@p1 @p136)) % 0.62/0.85 (step @p138 :rule skolemize :premises (@p137)) % 0.62/0.85 (step @p139 :rule cnf_or_neg :args (@t237 4)) % 0.62/0.85 (step @p140 :rule chain_m_resolution :premises (@p139 @p138) :args ((not @t229) @t238 @t239)) % 0.62/0.85 (step @p141 :rule aci_norm :args ((= @t244 (or @t24 @t179 @t242 @t241)))) % 0.62/0.85 (step @p142 :rule cong :premises (@p141) :args (@t245)) % 0.62/0.85 (step @p143 :rule quant-merge-prenex :args ((= (forall @t28 @t247) @t245))) % 0.62/0.85 (step @p144 :rule alpha_equiv :args (@t248 (@list @t240) (@list @t8))) % 0.62/0.85 (step @p145 :rule nary_cong :premises (@p91 @p90 @p144) :args (@t249)) % 0.62/0.85 (step @p146 :rule quant-miniscope-or :args ((= @t247 @t249))) % 0.62/0.85 (step @p147 :rule trans :premises (@p146 @p145)) % 0.62/0.85 (step @p148 :rule symm :premises (@p147)) % 0.62/0.85 (step @p149 :rule cong :premises (@p148) :args ((forall @t28 @t252))) % 0.62/0.85 (step @p150 :rule trans :premises (@p149 @p143)) % 0.62/0.85 (step @p151 :rule trans :premises (@p150 @p142)) % 0.62/0.85 (step @p152 :rule aci_norm :args ((= (or @t198 @t251) @t252))) % 0.62/0.85 (step @p153 :rule refl :args (@t251)) % 0.62/0.85 (step @p154 :rule nary_cong :premises (@p104 @p153) :args ((or @t200 @t251))) % 0.62/0.85 (step @p155 :rule trans :premises (@p154 @p152)) % 0.62/0.85 (step @p156 :rule bool-impl-elim :args (@t26 @t251)) % 0.62/0.85 (step @p157 :rule trans :premises (@p156 @p155)) % 0.62/0.85 (step @p158 :rule cong :premises (@p157) :args ((forall @t28 (=> @t26 @t251)))) % 0.62/0.85 (step @p159 :rule trans :premises (@p158 @p151)) % 0.62/0.85 (step @p160 :rule refl :args (@t250)) % 0.62/0.85 (step @p161 :rule bool-double-not-elim :args (@t68)) % 0.62/0.85 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or (not @t69) @t250))) % 0.62/0.85 (step @p163 :rule bool-impl-elim :args (@t69 @t250)) % 0.62/0.85 (step @p164 :rule trans :premises (@p163 @p162)) % 0.62/0.85 (step @p165 :rule cong :premises (@p164) :args ((forall @t21 (=> @t69 @t250)))) % 0.62/0.85 (step @p166 :rule bool-impl-elim :args (@t75 @t74)) % 0.62/0.85 (step @p167 :rule cong :premises (@p166) :args (@t76)) % 0.62/0.85 (step @p168 :rule refl :args (@t77)) % 0.62/0.85 (step @p169 :rule cong :premises (@p168 @p167) :args (@t78)) % 0.62/0.85 (step @p170 :rule refl :args (@t69)) % 0.62/0.85 (step @p171 :rule cong :premises (@p170 @p169) :args (@t79)) % 0.62/0.85 (step @p172 :rule cong :premises (@p171) :args (@t80)) % 0.62/0.85 (step @p173 :rule trans :premises (@p172 @p165)) % 0.62/0.85 (step @p174 :rule cong :premises (@p132 @p173) :args (@t81)) % 0.62/0.85 (step @p175 :rule cong :premises (@p174) :args (@t82)) % 0.62/0.85 (step @p176 :rule trans :premises (@p175 @p159)) % 0.62/0.85 (step @p177 :rule eq_resolve :premises (@p13 @p176)) % 0.62/0.85 (step @p178 :rule instantiate :premises (@p177) :args ((@list @t210 @t253))) % 0.62/0.85 (step @p179 :rule aci_norm :args ((= (or @t198 @t107) (or @t24 @t179 @t107)))) % 0.62/0.85 (step @p180 :rule refl :args (@t107)) % 0.62/0.85 (step @p181 :rule nary_cong :premises (@p104 @p180) :args ((or @t200 @t107))) % 0.62/0.85 (step @p182 :rule trans :premises (@p181 @p179)) % 0.62/0.85 (step @p183 :rule bool-impl-elim :args (@t26 @t107)) % 0.62/0.85 (step @p184 :rule trans :premises (@p183 @p182)) % 0.62/0.85 (step @p185 :rule cong :premises (@p184) :args (@t108)) % 0.62/0.85 (step @p186 :rule eq_resolve :premises (@p21 @p185)) % 0.62/0.85 (step @p187 :rule instantiate :premises (@p186) :args (@t254)) % 0.62/0.85 (step @p188 :rule bool-double-not-elim :args (@t234)) % 0.62/0.85 (step @p189 :rule refl :args (@t237)) % 0.62/0.85 (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((or @t237 (not @t235)))) % 0.62/0.85 (step @p191 :rule cnf_or_neg :args (@t237 1)) % 0.62/0.85 (step @p192 :rule eq_resolve :premises (@p191 @p190)) % 0.62/0.85 (step @p193 :rule reordering :premises (@p192) :args ((or @t234 @t237))) % 0.62/0.85 (step @p194 :rule chain_m_resolution :premises (@p193 @p138) :args (@t234 @t238 @t239)) % 0.62/0.85 (step @p195 :rule cnf_or_neg :args (@t237 0)) % 0.62/0.85 (step @p196 :rule chain_m_resolution :premises (@p195 @p138) :args ((not @t236) @t238 @t239)) % 0.62/0.85 (step @p197 :rule cnf_or_pos :args (@t257)) % 0.62/0.85 (step @p198 :rule reordering :premises (@p197) :args ((or @t236 @t235 @t256 (not @t257)))) % 0.62/0.85 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p194 @p187) :args (@t256 @t258 (@list @t236 @t234 @t257))) % 0.62/0.85 (step @p200 :rule false_intro :premises (@p199)) % 0.62/0.85 (step @p201 :rule aci_norm :args ((= (or @t198 @t165) (or @t24 @t179 @t165)))) % 0.62/0.85 (step @p202 :rule refl :args (@t165)) % 0.62/0.85 (step @p203 :rule nary_cong :premises (@p104 @p202) :args ((or @t200 @t165))) % 0.62/0.85 (step @p204 :rule trans :premises (@p203 @p201)) % 0.62/0.85 (step @p205 :rule bool-impl-elim :args (@t26 @t165)) % 0.62/0.85 (step @p206 :rule trans :premises (@p205 @p204)) % 0.62/0.85 (step @p207 :rule cong :premises (@p206) :args (@t166)) % 0.62/0.85 (step @p208 :rule eq_resolve :premises (@p74 @p207)) % 0.62/0.85 (step @p209 :rule instantiate :premises (@p208) :args (@t254)) % 0.62/0.85 (step @p210 :rule cnf_or_pos :args (@t260)) % 0.62/0.85 (step @p211 :rule reordering :premises (@p210) :args ((or @t236 @t235 @t259 (not @t260)))) % 0.62/0.85 (step @p212 :rule chain_m_resolution :premises (@p211 @p196 @p194 @p209) :args (@t259 @t258 (@list @t236 @t234 @t260))) % 0.62/0.85 (step @p213 :rule cong :premises (@p212) :args (@t261)) % 0.62/0.85 (step @p214 :rule trans :premises (@p213 @p200)) % 0.62/0.85 (step @p215 :rule false_elim :premises (@p214)) % 0.62/0.85 (step @p216 :rule cnf_or_pos :args (@t265)) % 0.62/0.85 (step @p217 :rule reordering :premises (@p216) :args ((or @t236 @t235 @t261 @t264 (not @t265)))) % 0.62/0.85 (step @p218 :rule chain_m_resolution :premises (@p217 @p196 @p194 @p215 @p178) :args (@t264 (@list true false true false) (@list @t236 @t234 @t261 @t265))) % 0.62/0.85 (step @p219 :rule aci_norm :args ((= (or @t198 @t109) (or @t24 @t179 @t109)))) % 0.62/0.85 (step @p220 :rule refl :args (@t109)) % 0.62/0.85 (step @p221 :rule nary_cong :premises (@p104 @p220) :args ((or @t200 @t109))) % 0.62/0.85 (step @p222 :rule trans :premises (@p221 @p219)) % 0.62/0.85 (step @p223 :rule bool-impl-elim :args (@t26 @t109)) % 0.62/0.85 (step @p224 :rule trans :premises (@p223 @p222)) % 0.62/0.85 (step @p225 :rule cong :premises (@p224) :args (@t110)) % 0.62/0.85 (step @p226 :rule eq_resolve :premises (@p22 @p225)) % 0.62/0.85 (step @p227 :rule instantiate :premises (@p226) :args (@t254)) % 0.62/0.85 (step @p228 :rule cnf_or_pos :args (@t266)) % 0.62/0.85 (step @p229 :rule reordering :premises (@p228) :args ((or @t236 @t235 @t263 (not @t266)))) % 0.62/0.85 (step @p230 :rule chain_m_resolution :premises (@p229 @p196 @p194 @p227) :args (@t263 @t258 (@list @t236 @t234 @t266))) % 0.62/0.85 (step @p231 :rule cnf_equiv_pos1 :args (@t264)) % 0.62/0.85 (step @p232 :rule reordering :premises (@p231) :args ((or (not @t263) @t262 (not @t264)))) % 0.62/0.85 (step @p233 :rule chain_m_resolution :premises (@p232 @p230 @p218) :args (@t262 @t267 (@list @t263 @t264))) % 0.62/0.85 (step @p234 :rule instantiate :premises (@p233) :args ((@list @t216))) % 0.62/0.85 (step @p235 :rule aci_norm :args ((= (or @t268 @t169) (or @t268 @t68 @t39)))) % 0.62/0.85 (step @p236 :rule bool-impl-elim :args (@t168 @t169)) % 0.62/0.85 (step @p237 :rule trans :premises (@p236 @p235)) % 0.62/0.85 (step @p238 :rule cong :premises (@p237) :args (@t170)) % 0.62/0.85 (step @p239 :rule eq_resolve :premises (@p79 @p238)) % 0.62/0.85 (step @p240 :rule instantiate :premises (@p239) :args ((@list @t216 @t214))) % 0.62/0.85 (step @p241 :rule aci_norm :args ((= (or (or @t71 @t272 @t271 @t270 @t269) @t113) (or @t71 @t272 @t271 @t270 @t269 @t113)))) % 0.62/0.85 (step @p242 :rule refl :args (@t113)) % 0.62/0.85 (step @p243 :rule refl :args (@t269)) % 0.62/0.85 (step @p244 :rule refl :args (@t270)) % 0.62/0.85 (step @p245 :rule refl :args (@t271)) % 0.62/0.85 (step @p246 :rule refl :args (@t272)) % 0.62/0.85 (step @p247 :rule bool-double-not-elim :args (@t71)) % 0.62/0.85 (step @p248 :rule nary_cong :premises (@p247 @p246 @p245 @p244 @p243) :args (@t274)) % 0.62/0.85 (step @p249 :rule aci_norm :args ((= (or @t273 (or @t272 (or @t271 (or @t270 @t269)))) @t274))) % 0.62/0.85 (step @p250 :rule trans :premises (@p249 @p248)) % 0.62/0.85 (step @p251 :rule bool-and-de-morgan :args (@t45 @t114 true)) % 0.62/0.85 (step @p252 :rule nary_cong :premises (@p245 @p251) :args ((or @t271 (not (and @t45 @t114))))) % 0.62/0.85 (step @p253 :rule bool-and-de-morgan :args (@t41 @t45 (and @t114))) % 0.62/0.85 (step @p254 :rule trans :premises (@p253 @p252)) % 0.62/0.85 (step @p255 :rule nary_cong :premises (@p246 @p254) :args ((or @t272 (not (and @t41 @t45 @t114))))) % 0.62/0.85 (step @p256 :rule bool-and-de-morgan :args (@t42 @t41 (and @t45 @t114))) % 0.62/0.85 (step @p257 :rule trans :premises (@p256 @p255)) % 0.62/0.85 (step @p258 :rule refl :args (@t273)) % 0.62/0.85 (step @p259 :rule nary_cong :premises (@p258 @p257) :args ((or @t273 (not (and @t42 @t41 @t45 @t114))))) % 0.62/0.85 (step @p260 :rule bool-and-de-morgan :args (@t72 @t42 (and @t41 @t45 @t114))) % 0.62/0.85 (step @p261 :rule trans :premises (@p260 @p259)) % 0.62/0.85 (step @p262 :rule trans :premises (@p261 @p250)) % 0.62/0.85 (step @p263 :rule nary_cong :premises (@p262 @p242) :args ((or (not @t115) @t113))) % 0.62/0.85 (step @p264 :rule trans :premises (@p263 @p241)) % 0.62/0.85 (step @p265 :rule bool-impl-elim :args (@t115 @t113)) % 0.62/0.85 (step @p266 :rule trans :premises (@p265 @p264)) % 0.62/0.85 (step @p267 :rule cong :premises (@p266) :args (@t117)) % 0.62/0.85 (step @p268 :rule eq_resolve :premises (@p23 @p267)) % 0.62/0.85 (step @p269 :rule instantiate :premises (@p268) :args ((@list @t215 @t214 @t212 @t211))) % 0.62/0.85 (step @p270 :rule eq-symm :args (@t125 @t45)) % 0.62/0.85 (step @p271 :rule cong :premises (@p270) :args (@t167)) % 0.62/0.85 (step @p272 :rule eq_resolve :premises (@p76 @p271)) % 0.62/0.85 (step @p273 :rule eq-symm :args (@t275 @t276)) % 0.62/0.85 (step @p274 :rule refl :args (@t277)) % 0.62/0.85 (step @p275 :rule cong :premises (@p274 @p273) :args ((=> @t277 @t278))) % 0.62/0.85 (assume-push @p643 @t277) % 0.62/0.85 (step @p277 :rule instantiate :premises (@p272) :args ((@list @t215 @t214 @t212))) % 0.62/0.85 (step-pop @p644 :rule scope :premises (@p277)) % 0.62/0.85 (step @p278 :rule process_scope :premises (@p644) :args (@t278)) % 0.62/0.85 (step @p280 :rule eq_resolve :premises (@p278 @p275)) % 0.62/0.85 (step @p281 :rule implies_elim :premises (@p280)) % 0.62/0.85 (step @p282 :rule chain_m_resolution :premises (@p281 @p272) :args (@t279 @t280 @t281)) % 0.62/0.85 (step @p283 :rule aci_norm :args ((= (or @t198 @t104) (or @t24 @t179 @t104)))) % 0.62/0.85 (step @p284 :rule refl :args (@t104)) % 0.62/0.85 (step @p285 :rule nary_cong :premises (@p104 @p284) :args ((or @t200 @t104))) % 0.62/0.85 (step @p286 :rule trans :premises (@p285 @p283)) % 0.62/0.85 (step @p287 :rule bool-impl-elim :args (@t26 @t104)) % 0.62/0.85 (step @p288 :rule trans :premises (@p287 @p286)) % 0.62/0.85 (step @p289 :rule cong :premises (@p288) :args (@t105)) % 0.62/0.85 (step @p290 :rule eq_resolve :premises (@p20 @p289)) % 0.62/0.85 (step @p291 :rule instantiate :premises (@p290) :args (@t254)) % 0.62/0.85 (step @p292 :rule cnf_or_pos :args (@t285)) % 0.62/0.85 (step @p293 :rule reordering :premises (@p292) :args ((or @t236 @t235 @t284 (not @t285)))) % 0.62/0.85 (step @p294 :rule chain_m_resolution :premises (@p293 @p196 @p194 @p291) :args (@t284 @t258 (@list @t236 @t234 @t285))) % 0.62/0.85 (step @p295 :rule cnf_and_pos :args (@t284 2)) % 0.62/0.85 (step @p296 :rule reordering :premises (@p295) :args ((or @t276 @t286))) % 0.62/0.85 (step @p297 :rule chain_m_resolution :premises (@p296 @p294) :args (@t276 @t280 @t287)) % 0.62/0.85 (step @p298 :rule cnf_equiv_pos1 :args (@t279)) % 0.62/0.85 (step @p299 :rule reordering :premises (@p298) :args ((or @t275 (not @t276) (not @t279)))) % 0.62/0.85 (step @p300 :rule chain_m_resolution :premises (@p299 @p297 @p282) :args (@t275 @t267 (@list @t276 @t279))) % 0.62/0.85 (step @p301 :rule cnf_and_pos :args (@t284 1)) % 0.62/0.85 (step @p302 :rule reordering :premises (@p301) :args ((or @t282 @t286))) % 0.62/0.85 (step @p303 :rule chain_m_resolution :premises (@p302 @p294) :args (@t282 @t280 @t287)) % 0.62/0.85 (step @p304 :rule cnf_and_pos :args (@t284 0)) % 0.62/0.85 (step @p305 :rule reordering :premises (@p304) :args ((or @t283 @t286))) % 0.62/0.85 (step @p306 :rule chain_m_resolution :premises (@p305 @p294) :args (@t283 @t280 @t287)) % 0.62/0.85 (step @p307 :rule aci_norm :args ((= (or @t289 @t135) (or @t24 @t288 @t135)))) % 0.62/0.85 (step @p308 :rule refl :args (@t135)) % 0.62/0.85 (step @p309 :rule refl :args (@t288)) % 0.62/0.85 (step @p310 :rule nary_cong :premises (@p101 @p309) :args ((or @t199 @t288))) % 0.62/0.85 (step @p311 :rule bool-and-de-morgan :args (@t25 @t62 true)) % 0.62/0.85 (step @p312 :rule trans :premises (@p311 @p310)) % 0.62/0.85 (step @p313 :rule nary_cong :premises (@p312 @p308) :args ((or @t290 @t135))) % 0.62/0.85 (step @p314 :rule trans :premises (@p313 @p307)) % 0.62/0.85 (step @p315 :rule bool-impl-elim :args (@t136 @t135)) % 0.62/0.85 (step @p316 :rule trans :premises (@p315 @p314)) % 0.62/0.85 (step @p317 :rule cong :premises (@p316) :args (@t137)) % 0.62/0.85 (step @p318 :rule eq_resolve :premises (@p44 @p317)) % 0.62/0.85 (step @p319 :rule instantiate :premises (@p318) :args (@t254)) % 0.62/0.85 (step @p320 :rule bool-impl-elim :args (@t23 @t62)) % 0.62/0.85 (step @p321 :rule cong :premises (@p320) :args (@t121)) % 0.62/0.85 (step @p322 :rule eq_resolve :premises (@p26 @p321)) % 0.62/0.85 (step @p323 :rule instantiate :premises (@p322) :args (@t254)) % 0.62/0.85 (step @p324 :rule cnf_or_pos :args (@t292)) % 0.62/0.85 (step @p325 :rule reordering :premises (@p324) :args ((or @t235 @t291 (not @t292)))) % 0.62/0.85 (step @p326 :rule chain_m_resolution :premises (@p325 @p194 @p323) :args (@t291 @t267 (@list @t234 @t292))) % 0.62/0.85 (step @p327 :rule cnf_or_pos :args (@t296)) % 0.62/0.85 (step @p328 :rule reordering :premises (@p327) :args ((or @t236 @t295 @t294 (not @t296)))) % 0.62/0.85 (step @p329 :rule chain_m_resolution :premises (@p328 @p196 @p326 @p319) :args (@t294 @t258 (@list @t236 @t291 @t296))) % 0.62/0.85 (step @p330 :rule bool-double-not-elim :args (@t230)) % 0.62/0.85 (step @p331 :rule nary_cong :premises (@p189 @p330) :args ((or @t237 (not @t231)))) % 0.62/0.85 (step @p332 :rule cnf_or_neg :args (@t237 3)) % 0.62/0.85 (step @p333 :rule eq_resolve :premises (@p332 @p331)) % 0.62/0.85 (step @p334 :rule reordering :premises (@p333) :args ((or @t230 @t237))) % 0.62/0.85 (step @p335 :rule chain_m_resolution :premises (@p334 @p138) :args (@t230 @t238 @t239)) % 0.62/0.85 (step @p336 :rule cnf_or_pos :args (@t301)) % 0.62/0.85 (step @p337 :rule reordering :premises (@p336) :args ((or @t231 @t293 @t300 @t299 @t298 @t297 (not @t301)))) % 0.62/0.85 (step @p338 :rule chain_m_resolution :premises (@p337 @p335 @p329 @p306 @p303 @p300 @p269) :args (@t297 @t302 (@list @t230 @t293 @t283 @t282 @t275 @t301))) % 0.62/0.85 (step @p339 :rule aci_norm :args ((= (or (or @t53 @t303) @t146) (or @t53 @t303 @t146)))) % 0.62/0.85 (step @p340 :rule refl :args (@t146)) % 0.62/0.85 (step @p341 :rule refl :args (@t303)) % 0.62/0.85 (step @p342 :rule bool-double-not-elim :args (@t53)) % 0.62/0.85 (step @p343 :rule nary_cong :premises (@p342 @p341) :args ((or (not @t54) @t303))) % 0.62/0.85 (step @p344 :rule bool-and-de-morgan :args (@t54 @t118 true)) % 0.62/0.85 (step @p345 :rule trans :premises (@p344 @p343)) % 0.62/0.85 (step @p346 :rule nary_cong :premises (@p345 @p340) :args ((or (not @t147) @t146))) % 0.62/0.85 (step @p347 :rule trans :premises (@p346 @p339)) % 0.62/0.85 (step @p348 :rule bool-impl-elim :args (@t147 @t146)) % 0.62/0.85 (step @p349 :rule trans :premises (@p348 @p347)) % 0.62/0.85 (step @p350 :rule cong :premises (@p349) :args (@t148)) % 0.62/0.85 (step @p351 :rule eq_resolve :premises (@p46 @p350)) % 0.62/0.85 (step @p352 :rule instantiate :premises (@p351) :args (@t304)) % 0.62/0.85 (step @p353 :rule bool-impl-elim :args (@t119 @t118)) % 0.62/0.85 (step @p354 :rule cong :premises (@p353) :args (@t120)) % 0.62/0.85 (step @p355 :rule eq_resolve :premises (@p25 @p354)) % 0.62/0.85 (step @p356 :rule instantiate :premises (@p355) :args (@t304)) % 0.62/0.85 (step @p357 :rule bool-impl-elim :args (@t37 @t123)) % 0.62/0.85 (step @p358 :rule cong :premises (@p357) :args (@t124)) % 0.62/0.85 (step @p359 :rule eq_resolve :premises (@p28 @p358)) % 0.62/0.85 (step @p360 :rule instantiate :premises (@p359) :args (@t304)) % 0.62/0.85 (step @p361 :rule aci_norm :args ((= (or @t198 @t100) (or @t24 @t179 @t100)))) % 0.62/0.85 (step @p362 :rule refl :args (@t100)) % 0.62/0.85 (step @p363 :rule nary_cong :premises (@p104 @p362) :args ((or @t200 @t100))) % 0.62/0.85 (step @p364 :rule trans :premises (@p363 @p361)) % 0.62/0.85 (step @p365 :rule bool-impl-elim :args (@t26 @t100)) % 0.62/0.85 (step @p366 :rule trans :premises (@p365 @p364)) % 0.62/0.85 (step @p367 :rule cong :premises (@p366) :args (@t101)) % 0.62/0.85 (step @p368 :rule eq_resolve :premises (@p17 @p367)) % 0.62/0.85 (step @p369 :rule instantiate :premises (@p368) :args (@t254)) % 0.62/0.85 (step @p370 :rule cnf_or_pos :args (@t310)) % 0.62/0.85 (step @p371 :rule reordering :premises (@p370) :args ((or @t236 @t235 @t309 (not @t310)))) % 0.62/0.85 (step @p372 :rule chain_m_resolution :premises (@p371 @p196 @p194 @p369) :args (@t309 @t258 (@list @t236 @t234 @t310))) % 0.62/0.85 (step @p373 :rule cnf_and_pos :args (@t309 2)) % 0.62/0.85 (step @p374 :rule reordering :premises (@p373) :args ((or @t305 @t311))) % 0.62/0.85 (step @p375 :rule chain_m_resolution :premises (@p374 @p372) :args (@t305 @t280 @t312)) % 0.62/0.85 (step @p376 :rule cnf_or_pos :args (@t317)) % 0.62/0.85 (step @p377 :rule reordering :premises (@p376) :args ((or @t316 @t315 (not @t317)))) % 0.62/0.85 (step @p378 :rule chain_m_resolution :premises (@p377 @p375 @p360) :args (@t315 @t267 (@list @t305 @t317))) % 0.62/0.85 (step @p379 :rule cnf_and_pos :args (@t315 0)) % 0.62/0.85 (step @p380 :rule reordering :premises (@p379) :args ((or @t314 @t318))) % 0.62/0.85 (step @p381 :rule chain_m_resolution :premises (@p380 @p378) :args (@t314 @t280 @t319)) % 0.62/0.85 (step @p382 :rule cnf_or_pos :args (@t322)) % 0.62/0.85 (step @p383 :rule reordering :premises (@p382) :args ((or @t321 @t320 (not @t322)))) % 0.62/0.85 (step @p384 :rule chain_m_resolution :premises (@p383 @p381 @p356) :args (@t320 @t267 (@list @t314 @t322))) % 0.62/0.85 (step @p385 :rule cnf_and_pos :args (@t309 0)) % 0.62/0.85 (step @p386 :rule reordering :premises (@p385) :args ((or @t308 @t311))) % 0.62/0.85 (step @p387 :rule chain_m_resolution :premises (@p386 @p372) :args (@t308 @t280 @t312)) % 0.62/0.85 (step @p388 :rule cnf_or_pos :args (@t326)) % 0.62/0.85 (step @p389 :rule reordering :premises (@p388) :args ((or @t307 @t325 @t324 (not @t326)))) % 0.62/0.85 (step @p390 :rule chain_m_resolution :premises (@p389 @p387 @p384 @p352) :args (@t324 @t258 (@list @t307 @t320 @t326))) % 0.62/0.85 (step @p391 :rule cnf_or_pos :args (@t329)) % 0.62/0.85 (step @p392 :rule reordering :premises (@p391) :args ((or @t323 @t328 @t327 (not @t329)))) % 0.62/0.85 (step @p393 :rule chain_m_resolution :premises (@p392 @p390 @p338 @p240) :args (@t327 @t258 (@list @t323 @t297 @t329))) % 0.62/0.85 (step @p394 :rule true_intro :premises (@p393)) % 0.62/0.85 (step @p395 :rule aci_norm :args ((= @t341 (or @t339 @t338 @t337 @t272 @t336 @t335 @t334 @t333)))) % 0.62/0.85 (step @p396 :rule cong :premises (@p395) :args (@t342)) % 0.62/0.85 (step @p397 :rule quant-merge-prenex :args ((= (forall @t46 @t344) @t342))) % 0.62/0.85 (step @p398 :rule alpha_equiv :args (@t345 (@list @t332 @t331 @t330) (@list @t111 @t157 @t156))) % 0.62/0.85 (step @p399 :rule refl :args (@t335)) % 0.62/0.85 (step @p400 :rule refl :args (@t336)) % 0.62/0.85 (step @p401 :rule refl :args (@t337)) % 0.62/0.85 (step @p402 :rule refl :args (@t338)) % 0.62/0.85 (step @p403 :rule refl :args (@t339)) % 0.62/0.85 (step @p404 :rule nary_cong :premises (@p403 @p402 @p401 @p246 @p400 @p399 @p398) :args (@t346)) % 0.62/0.85 (step @p405 :rule quant-miniscope-or :args ((= @t344 @t346))) % 0.62/0.85 (step @p406 :rule trans :premises (@p405 @p404)) % 0.62/0.85 (step @p407 :rule symm :premises (@p406)) % 0.62/0.85 (step @p408 :rule cong :premises (@p407) :args ((forall @t46 @t348))) % 0.62/0.85 (step @p409 :rule trans :premises (@p408 @p397)) % 0.62/0.85 (step @p410 :rule trans :premises (@p409 @p396)) % 0.62/0.85 (step @p411 :rule aci_norm :args ((= (or @t349 @t347) @t348))) % 0.62/0.85 (step @p412 :rule refl :args (@t347)) % 0.62/0.85 (step @p413 :rule aci_norm :args ((= (or @t339 (or @t338 (or @t337 (or @t272 (or @t336 @t335))))) @t349))) % 0.62/0.85 (step @p414 :rule bool-and-de-morgan :args (@t92 @t91 true)) % 0.62/0.85 (step @p415 :rule nary_cong :premises (@p246 @p414) :args ((or @t272 (not (and @t92 @t91))))) % 0.62/0.85 (step @p416 :rule bool-and-de-morgan :args (@t42 @t92 (and @t91))) % 0.62/0.85 (step @p417 :rule trans :premises (@p416 @p415)) % 0.62/0.85 (step @p418 :rule nary_cong :premises (@p401 @p417) :args ((or @t337 (not (and @t42 @t92 @t91))))) % 0.62/0.85 (step @p419 :rule bool-and-de-morgan :args (@t93 @t42 (and @t92 @t91))) % 0.62/0.85 (step @p420 :rule trans :premises (@p419 @p418)) % 0.62/0.85 (step @p421 :rule nary_cong :premises (@p402 @p420) :args ((or @t338 (not (and @t93 @t42 @t92 @t91))))) % 0.62/0.85 (step @p422 :rule bool-and-de-morgan :args (@t94 @t93 (and @t42 @t92 @t91))) % 0.62/0.85 (step @p423 :rule trans :premises (@p422 @p421)) % 0.62/0.85 (step @p424 :rule nary_cong :premises (@p403 @p423) :args ((or @t339 (not (and @t94 @t93 @t42 @t92 @t91))))) % 0.62/0.85 (step @p425 :rule bool-and-de-morgan :args (@t95 @t94 (and @t93 @t42 @t92 @t91))) % 0.62/0.85 (step @p426 :rule trans :premises (@p425 @p424)) % 0.62/0.85 (step @p427 :rule trans :premises (@p426 @p413)) % 0.62/0.85 (step @p428 :rule nary_cong :premises (@p427 @p412) :args ((or (not @t96) @t347))) % 0.62/0.85 (step @p429 :rule trans :premises (@p428 @p411)) % 0.62/0.85 (step @p430 :rule bool-impl-elim :args (@t96 @t347)) % 0.62/0.85 (step @p431 :rule trans :premises (@p430 @p429)) % 0.62/0.85 (step @p432 :rule cong :premises (@p431) :args ((forall @t46 (=> @t96 @t347)))) % 0.62/0.85 (step @p433 :rule trans :premises (@p432 @p410)) % 0.62/0.85 (step @p434 :rule bool-impl-elim :args (@t159 @t158)) % 0.62/0.85 (step @p435 :rule cong :premises (@p434) :args (@t161)) % 0.62/0.85 (step @p436 :rule refl :args (@t96)) % 0.62/0.85 (step @p437 :rule cong :premises (@p436 @p435) :args (@t162)) % 0.62/0.85 (step @p438 :rule cong :premises (@p437) :args (@t163)) % 0.62/0.85 (step @p439 :rule trans :premises (@p438 @p433)) % 0.62/0.85 (step @p440 :rule eq_resolve :premises (@p58 @p439)) % 0.62/0.85 (step @p441 :rule instantiate :premises (@p440) :args ((@list @t214 @t353 @t352 @t253 @t351 @t350))) % 0.62/0.85 (step @p442 :rule aci_norm :args ((= (or @t198 @t86) (or @t24 @t179 @t86)))) % 0.62/0.85 (step @p443 :rule refl :args (@t86)) % 0.62/0.85 (step @p444 :rule nary_cong :premises (@p104 @p443) :args ((or @t200 @t86))) % 0.62/0.85 (step @p445 :rule trans :premises (@p444 @p442)) % 0.62/0.85 (step @p446 :rule bool-impl-elim :args (@t26 @t86)) % 0.62/0.85 (step @p447 :rule trans :premises (@p446 @p445)) % 0.62/0.85 (step @p448 :rule cong :premises (@p447) :args (@t87)) % 0.62/0.85 (step @p449 :rule eq_resolve :premises (@p14 @p448)) % 0.62/0.85 (step @p450 :rule instantiate :premises (@p449) :args (@t254)) % 0.62/0.85 (step @p451 :rule cnf_or_pos :args (@t356)) % 0.62/0.85 (step @p452 :rule reordering :premises (@p451) :args ((or @t236 @t235 @t355 (not @t356)))) % 0.62/0.85 (step @p453 :rule chain_m_resolution :premises (@p452 @p196 @p194 @p450) :args (@t355 @t258 (@list @t236 @t234 @t356))) % 0.62/0.85 (step @p454 :rule aci_norm :args ((= (or @t358 (or @t357 @t34)) (or @t358 @t357 @t34)))) % 0.62/0.85 (step @p455 :rule bool-impl-elim :args (@t35 @t34)) % 0.62/0.85 (step @p456 :rule refl :args (@t358)) % 0.62/0.85 (step @p457 :rule nary_cong :premises (@p456 @p455) :args ((or @t358 @t36))) % 0.62/0.85 (step @p458 :rule trans :premises (@p457 @p454)) % 0.62/0.85 (step @p459 :rule bool-impl-elim :args (@t37 @t36)) % 0.62/0.85 (step @p460 :rule trans :premises (@p459 @p458)) % 0.62/0.85 (step @p461 :rule cong :premises (@p460) :args (@t38)) % 0.62/0.85 (step @p462 :rule eq_resolve :premises (@p2 @p461)) % 0.62/0.85 (step @p463 :rule instantiate :premises (@p462) :args (@t304)) % 0.62/0.85 (step @p464 :rule cnf_and_pos :args (@t309 1)) % 0.62/0.85 (step @p465 :rule reordering :premises (@p464) :args ((or @t306 @t311))) % 0.62/0.85 (step @p466 :rule chain_m_resolution :premises (@p465 @p372) :args (@t306 @t280 @t312)) % 0.62/0.85 (step @p467 :rule cnf_or_pos :args (@t362)) % 0.62/0.85 (step @p468 :rule reordering :premises (@p467) :args ((or @t316 @t361 @t360 (not @t362)))) % 0.62/0.85 (step @p469 :rule chain_m_resolution :premises (@p468 @p375 @p466 @p463) :args (@t360 (@list false false false) (@list @t305 @t306 @t362))) % 0.62/0.85 (step @p470 :rule symm :premises (@p469)) % 0.62/0.85 (step @p471 :rule trans :premises (@p470 @p453)) % 0.62/0.85 (step @p472 :rule eq-symm :args (@t364 @t365)) % 0.62/0.85 (step @p473 :rule cong :premises (@p274 @p472) :args ((=> @t277 @t366))) % 0.62/0.85 (assume-push @p645 @t277) % 0.62/0.85 (step @p475 :rule instantiate :premises (@p272) :args ((@list @t363 @t214 @t352))) % 0.62/0.85 (step-pop @p646 :rule scope :premises (@p475)) % 0.62/0.85 (step @p476 :rule process_scope :premises (@p646) :args (@t366)) % 0.62/0.85 (step @p478 :rule eq_resolve :premises (@p476 @p473)) % 0.62/0.85 (step @p479 :rule implies_elim :premises (@p478)) % 0.62/0.85 (step @p480 :rule chain_m_resolution :premises (@p479 @p272) :args (@t367 @t280 @t281)) % 0.62/0.85 (step @p481 :rule bool-impl-elim :args (@t119 @t129)) % 0.62/0.85 (step @p482 :rule cong :premises (@p481) :args (@t130)) % 0.62/0.85 (step @p483 :rule eq_resolve :premises (@p31 @p482)) % 0.62/0.85 (step @p484 :rule instantiate :premises (@p483) :args (@t304)) % 0.62/0.85 (step @p485 :rule cnf_or_pos :args (@t371)) % 0.62/0.85 (step @p486 :rule reordering :premises (@p485) :args ((or @t321 @t370 (not @t371)))) % 0.62/0.85 (step @p487 :rule chain_m_resolution :premises (@p486 @p381 @p484) :args (@t370 @t267 (@list @t314 @t371))) % 0.62/0.85 (step @p488 :rule cnf_and_pos :args (@t370 2)) % 0.62/0.85 (step @p489 :rule reordering :premises (@p488) :args ((or @t365 @t372))) % 0.62/0.85 (step @p490 :rule chain_m_resolution :premises (@p489 @p487) :args (@t365 @t280 @t373)) % 0.62/0.85 (step @p491 :rule cnf_equiv_pos1 :args (@t367)) % 0.62/0.85 (step @p492 :rule reordering :premises (@p491) :args ((or (not @t365) @t364 (not @t367)))) % 0.62/0.85 (step @p493 :rule chain_m_resolution :premises (@p492 @p490 @p480) :args (@t364 @t267 (@list @t365 @t367))) % 0.62/0.85 (step @p494 :rule eq-symm :args (@t374 @t375)) % 0.62/0.85 (step @p495 :rule cong :premises (@p274 @p494) :args ((=> @t277 @t376))) % 0.62/0.85 (assume-push @p647 @t277) % 0.62/0.85 (step @p497 :rule instantiate :premises (@p272) :args ((@list @t363 @t214 @t353))) % 0.62/0.85 (step-pop @p648 :rule scope :premises (@p497)) % 0.62/0.85 (step @p498 :rule process_scope :premises (@p648) :args (@t376)) % 0.62/0.85 (step @p500 :rule eq_resolve :premises (@p498 @p495)) % 0.62/0.85 (step @p501 :rule implies_elim :premises (@p500)) % 0.62/0.85 (step @p502 :rule chain_m_resolution :premises (@p501 @p272) :args (@t377 @t280 @t281)) % 0.62/0.85 (step @p503 :rule bool-impl-elim :args (@t122 @t133)) % 0.62/0.85 (step @p504 :rule cong :premises (@p503) :args (@t134)) % 0.62/0.85 (step @p505 :rule eq_resolve :premises (@p32 @p504)) % 0.62/0.85 (step @p506 :rule instantiate :premises (@p505) :args (@t304)) % 0.62/0.85 (step @p507 :rule cnf_and_pos :args (@t315 1)) % 0.62/0.85 (step @p508 :rule reordering :premises (@p507) :args ((or @t313 @t318))) % 0.62/0.85 (step @p509 :rule chain_m_resolution :premises (@p508 @p378) :args (@t313 @t280 @t319)) % 0.62/0.85 (step @p510 :rule cnf_or_pos :args (@t382)) % 0.62/0.85 (step @p511 :rule reordering :premises (@p510) :args ((or @t381 @t380 (not @t382)))) % 0.62/0.85 (step @p512 :rule chain_m_resolution :premises (@p511 @p509 @p506) :args (@t380 @t267 (@list @t313 @t382))) % 0.62/0.85 (step @p513 :rule cnf_and_pos :args (@t380 2)) % 0.62/0.85 (step @p514 :rule reordering :premises (@p513) :args ((or @t375 @t383))) % 0.62/0.85 (step @p515 :rule chain_m_resolution :premises (@p514 @p512) :args (@t375 @t280 @t384)) % 0.62/0.85 (step @p516 :rule cnf_equiv_pos1 :args (@t377)) % 0.62/0.85 (step @p517 :rule reordering :premises (@p516) :args ((or (not @t375) @t374 (not @t377)))) % 0.62/0.85 (step @p518 :rule chain_m_resolution :premises (@p517 @p515 @p502) :args (@t374 @t267 (@list @t375 @t377))) % 0.62/0.85 (step @p519 :rule cnf_and_pos :args (@t380 1)) % 0.62/0.85 (step @p520 :rule reordering :premises (@p519) :args ((or @t378 @t383))) % 0.62/0.85 (step @p521 :rule chain_m_resolution :premises (@p520 @p512) :args (@t378 @t280 @t384)) % 0.62/0.85 (step @p522 :rule cnf_and_pos :args (@t380 0)) % 0.62/0.85 (step @p523 :rule reordering :premises (@p522) :args ((or @t379 @t383))) % 0.62/0.85 (step @p524 :rule chain_m_resolution :premises (@p523 @p512) :args (@t379 @t280 @t384)) % 0.62/0.85 (step @p525 :rule cnf_and_pos :args (@t370 1)) % 0.62/0.85 (step @p526 :rule reordering :premises (@p525) :args ((or @t368 @t372))) % 0.62/0.85 (step @p527 :rule chain_m_resolution :premises (@p526 @p487) :args (@t368 @t280 @t373)) % 0.62/0.85 (step @p528 :rule cnf_and_pos :args (@t370 0)) % 0.62/0.85 (step @p529 :rule reordering :premises (@p528) :args ((or @t369 @t372))) % 0.62/0.85 (step @p530 :rule chain_m_resolution :premises (@p529 @p487) :args (@t369 @t280 @t373)) % 0.62/0.85 (step @p531 :rule cnf_or_pos :args (@t395)) % 0.62/0.85 (step @p532 :rule reordering :premises (@p531) :args ((or @t391 @t390 @t394 @t393 @t392 @t389 @t388 @t386 (not @t395)))) % 0.62/0.85 (step @p533 :rule chain_m_resolution :premises (@p532 @p530 @p527 @p524 @p521 @p518 @p493 @p471 @p441) :args (@t386 (@list false false false false false false false false) (@list @t369 @t368 @t379 @t378 @t374 @t364 @t387 @t395))) % 0.62/0.85 (step @p534 :rule cnf_and_pos :args (@t386 0)) % 0.62/0.85 (step @p535 :rule reordering :premises (@p534) :args ((or @t385 (not @t386)))) % 0.62/0.85 (step @p536 :rule chain_m_resolution :premises (@p535 @p533) :args (@t385 @t280 (@list @t386))) % 0.62/0.85 (step @p537 :rule symm :premises (@p536)) % 0.62/0.85 (step @p538 :rule refl :args (@t216)) % 0.62/0.85 (step @p539 :rule cong :premises (@p538 @p537) :args (@t396)) % 0.62/0.85 (step @p540 :rule trans :premises (@p539 @p394)) % 0.62/0.85 (step @p541 :rule true_elim :premises (@p540)) % 0.62/0.85 (step @p542 :rule cnf_or_pos :args (@t399)) % 0.62/0.85 (step @p543 :rule reordering :premises (@p542) :args ((or @t397 @t398 (not @t399)))) % 0.62/0.85 (step @p544 :rule chain_m_resolution :premises (@p543 @p541 @p234) :args (@t397 @t267 (@list @t396 @t399))) % 0.62/0.85 (step @p545 :rule cnf_and_pos :args (@t397 2)) % 0.62/0.85 (step @p546 :rule reordering :premises (@p545) :args ((or @t217 @t400))) % 0.62/0.85 (step @p547 :rule chain_m_resolution :premises (@p546 @p544) :args (@t217 @t280 @t401)) % 0.62/0.85 (step @p548 :rule cnf_and_pos :args (@t397 1)) % 0.62/0.85 (step @p549 :rule reordering :premises (@p548) :args ((or @t218 @t400))) % 0.62/0.85 (step @p550 :rule chain_m_resolution :premises (@p549 @p544) :args (@t218 @t280 @t401)) % 0.62/0.85 (step @p551 :rule cnf_and_pos :args (@t397 0)) % 0.62/0.85 (step @p552 :rule reordering :premises (@p551) :args ((or @t220 @t400))) % 0.62/0.85 (step @p553 :rule chain_m_resolution :premises (@p552 @p544) :args (@t220 @t280 @t401)) % 0.62/0.85 (step @p554 :rule instantiate :premises (@p233) :args ((@list @t224))) % 0.62/0.85 (step @p555 :rule instantiate :premises (@p239) :args ((@list @t224 @t214))) % 0.62/0.85 (step @p556 :rule instantiate :premises (@p268) :args ((@list @t223 @t214 @t222 @t221))) % 0.62/0.85 (step @p557 :rule eq-symm :args (@t402 @t403)) % 0.62/0.85 (step @p558 :rule cong :premises (@p274 @p557) :args ((=> @t277 @t404))) % 0.62/0.85 (assume-push @p649 @t277) % 0.62/0.85 (step @p560 :rule instantiate :premises (@p272) :args ((@list @t223 @t214 @t222))) % 0.62/0.85 (step-pop @p650 :rule scope :premises (@p560)) % 0.62/0.85 (step @p561 :rule process_scope :premises (@p650) :args (@t404)) % 0.62/0.85 (step @p563 :rule eq_resolve :premises (@p561 @p558)) % 0.62/0.85 (step @p564 :rule implies_elim :premises (@p563)) % 0.62/0.85 (step @p565 :rule chain_m_resolution :premises (@p564 @p272) :args (@t405 @t280 @t281)) % 0.62/0.85 (step @p566 :rule aci_norm :args ((= (or @t198 @t102) (or @t24 @t179 @t102)))) % 0.62/0.85 (step @p567 :rule refl :args (@t102)) % 0.62/0.85 (step @p568 :rule nary_cong :premises (@p104 @p567) :args ((or @t200 @t102))) % 0.62/0.85 (step @p569 :rule trans :premises (@p568 @p566)) % 0.62/0.85 (step @p570 :rule bool-impl-elim :args (@t26 @t102)) % 0.62/0.85 (step @p571 :rule trans :premises (@p570 @p569)) % 0.62/0.85 (step @p572 :rule cong :premises (@p571) :args (@t103)) % 0.62/0.85 (step @p573 :rule eq_resolve :premises (@p19 @p572)) % 0.62/0.85 (step @p574 :rule instantiate :premises (@p573) :args (@t254)) % 0.62/0.85 (step @p575 :rule cnf_or_pos :args (@t409)) % 0.62/0.85 (step @p576 :rule reordering :premises (@p575) :args ((or @t236 @t235 @t408 (not @t409)))) % 0.62/0.85 (step @p577 :rule chain_m_resolution :premises (@p576 @p196 @p194 @p574) :args (@t408 @t258 (@list @t236 @t234 @t409))) % 0.62/0.85 (step @p578 :rule cnf_and_pos :args (@t408 2)) % 0.62/0.85 (step @p579 :rule reordering :premises (@p578) :args ((or @t403 @t410))) % 0.62/0.85 (step @p580 :rule chain_m_resolution :premises (@p579 @p577) :args (@t403 @t280 @t411)) % 0.62/0.85 (step @p581 :rule cnf_equiv_pos1 :args (@t405)) % 0.62/0.85 (step @p582 :rule reordering :premises (@p581) :args ((or @t402 (not @t403) (not @t405)))) % 0.62/0.85 (step @p583 :rule chain_m_resolution :premises (@p582 @p580 @p565) :args (@t402 @t267 (@list @t403 @t405))) % 0.62/0.85 (step @p584 :rule cnf_and_pos :args (@t408 1)) % 0.62/0.85 (step @p585 :rule reordering :premises (@p584) :args ((or @t406 @t410))) % 0.62/0.85 (step @p586 :rule chain_m_resolution :premises (@p585 @p577) :args (@t406 @t280 @t411)) % 0.62/0.85 (step @p587 :rule cnf_and_pos :args (@t408 0)) % 0.62/0.85 (step @p588 :rule reordering :premises (@p587) :args ((or @t407 @t410))) % 0.62/0.85 (step @p589 :rule chain_m_resolution :premises (@p588 @p577) :args (@t407 @t280 @t411)) % 0.62/0.85 (step @p590 :rule aci_norm :args ((= (or @t289 @t150) (or @t24 @t288 @t150)))) % 0.62/0.85 (step @p591 :rule refl :args (@t150)) % 0.62/0.85 (step @p592 :rule nary_cong :premises (@p312 @p591) :args ((or @t290 @t150))) % 0.62/0.85 (step @p593 :rule trans :premises (@p592 @p590)) % 0.62/0.85 (step @p594 :rule bool-impl-elim :args (@t136 @t150)) % 0.62/0.85 (step @p595 :rule trans :premises (@p594 @p593)) % 0.62/0.85 (step @p596 :rule cong :premises (@p595) :args (@t151)) % 0.62/0.85 (step @p597 :rule eq_resolve :premises (@p49 @p596)) % 0.62/0.85 (step @p598 :rule instantiate :premises (@p597) :args (@t254)) % 0.62/0.85 (step @p599 :rule cnf_or_pos :args (@t414)) % 0.62/0.85 (step @p600 :rule reordering :premises (@p599) :args ((or @t236 @t295 @t413 (not @t414)))) % 0.62/0.85 (step @p601 :rule chain_m_resolution :premises (@p600 @p196 @p326 @p598) :args (@t413 @t258 (@list @t236 @t291 @t414))) % 0.62/0.85 (step @p602 :rule bool-double-not-elim :args (@t232)) % 0.62/0.85 (step @p603 :rule nary_cong :premises (@p189 @p602) :args ((or @t237 (not @t233)))) % 0.62/0.85 (step @p604 :rule cnf_or_neg :args (@t237 2)) % 0.62/0.85 (step @p605 :rule eq_resolve :premises (@p604 @p603)) % 0.62/0.85 (step @p606 :rule reordering :premises (@p605) :args ((or @t232 @t237))) % 0.62/0.85 (step @p607 :rule chain_m_resolution :premises (@p606 @p138) :args (@t232 @t238 @t239)) % 0.62/0.85 (step @p608 :rule cnf_or_pos :args (@t419)) % 0.62/0.85 (step @p609 :rule reordering :premises (@p608) :args ((or @t233 @t412 @t418 @t417 @t416 @t415 (not @t419)))) % 0.62/0.85 (step @p610 :rule chain_m_resolution :premises (@p609 @p607 @p601 @p589 @p586 @p583 @p556) :args (@t415 @t302 (@list @t232 @t412 @t407 @t406 @t402 @t419))) % 0.62/0.85 (step @p611 :rule cnf_or_pos :args (@t422)) % 0.62/0.85 (step @p612 :rule reordering :premises (@p611) :args ((or @t323 @t421 @t420 (not @t422)))) % 0.62/0.85 (step @p613 :rule chain_m_resolution :premises (@p612 @p390 @p610 @p555) :args (@t420 @t258 (@list @t323 @t415 @t422))) % 0.62/0.85 (step @p614 :rule true_intro :premises (@p613)) % 0.62/0.85 (step @p615 :rule refl :args (@t224)) % 0.62/0.85 (step @p616 :rule cong :premises (@p615 @p537) :args (@t423)) % 0.62/0.85 (step @p617 :rule trans :premises (@p616 @p614)) % 0.62/0.85 (step @p618 :rule true_elim :premises (@p617)) % 0.62/0.85 (step @p619 :rule cnf_or_pos :args (@t426)) % 0.62/0.85 (step @p620 :rule reordering :premises (@p619) :args ((or @t424 @t425 (not @t426)))) % 0.62/0.85 (step @p621 :rule chain_m_resolution :premises (@p620 @p618 @p554) :args (@t424 @t267 (@list @t423 @t426))) % 0.62/0.85 (step @p622 :rule cnf_and_pos :args (@t424 0)) % 0.62/0.85 (step @p623 :rule reordering :premises (@p622) :args ((or @t228 @t427))) % 0.62/0.85 (step @p624 :rule chain_m_resolution :premises (@p623 @p621) :args (@t228 @t280 @t428)) % 0.62/0.85 (step @p625 :rule cnf_and_pos :args (@t424 1)) % 0.62/0.85 (step @p626 :rule reordering :premises (@p625) :args ((or @t226 @t427))) % 0.62/0.85 (step @p627 :rule chain_m_resolution :premises (@p626 @p621) :args (@t226 @t280 @t428)) % 0.62/0.85 (step @p628 :rule cnf_and_pos :args (@t424 2)) % 0.62/0.85 (step @p629 :rule reordering :premises (@p628) :args ((or @t225 @t427))) % 0.62/0.85 (step @p630 :rule chain_m_resolution :premises (@p629 @p621) :args (@t225 @t280 @t428)) % 0.62/0.85 (step @p631 :rule refl :args (@t429)) % 0.62/0.85 (step @p632 :rule refl :args (@t430)) % 0.62/0.85 (step @p633 :rule bool-double-not-elim :args (@t219)) % 0.62/0.85 (step @p634 :rule refl :args (@t431)) % 0.62/0.85 (step @p635 :rule refl :args (@t432)) % 0.62/0.85 (step @p636 :rule bool-double-not-elim :args (@t227)) % 0.62/0.85 (step @p637 :rule refl :args (@t229)) % 0.62/0.85 (step @p638 :rule nary_cong :premises (@p637 @p636 @p635 @p634 @p633 @p632 @p631) :args ((or @t229 (not @t228) @t432 @t431 (not @t220) @t430 @t429))) % 0.62/0.85 (step @p639 :rule cnf_and_neg :args (@t229)) % 0.62/0.85 (step @p640 :rule eq_resolve :premises (@p639 @p638)) % 0.62/0.85 (step @p641 :rule reordering :premises (@p640) :args ((or @t227 @t219 @t229 @t432 @t431 @t430 @t429))) % 0.62/0.85 (step @p642 false :rule chain_m_resolution :premises (@p641 @p630 @p627 @p624 @p553 @p550 @p547 @p140) :args (false (@list false false true true false false true) (@list @t225 @t226 @t227 @t219 @t218 @t217 @t229))) % 0.62/0.85 ) % 0.62/0.85 % SZS output end Proof % 0.62/0.85 % cvc5 exiting %------------------------------------------------------------------------------