%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT308+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 : n027.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 34.87s 35.05s % Output : Proof 34.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT308+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 : n027.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 % 0.17/0.35 % DateTime : Tue Jun 2 06:20:07 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 34.87/35.05 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.87/35.05 --- Run --no-e-matching --full-saturate-quant at 6... % 34.87/35.05 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.87/35.05 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.87/35.05 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.87/35.05 % SZS status Theorem % 34.87/35.05 % SZS output start Proof % 34.87/35.05 ( % 34.87/35.05 (declare-sort $$unsorted 0) % 34.87/35.05 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.k2_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.m1_filter_2 (-> $$unsorted $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.a_2_0_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.a_2_0_filter_0 (-> $$unsorted $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.k1_lattice2 (-> $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.k1_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.k2_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.k1_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.m1_filter_0 (-> $$unsorted $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.k4_tarski (-> $$unsorted $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.k1_xboole_0 $$unsorted) % 34.87/35.05 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.k2_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.m2_filter_2 (-> $$unsorted $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.r1_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.k3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.k18_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.r3_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.v1_realset1 (-> $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.k2_tarski (-> $$unsorted $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.k2_filter_0 (-> $$unsorted $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 34.87/35.05 (declare-const tptp.k5_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.k4_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.87/35.05 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 34.87/35.05 (define @t1 () (@var "A" $$unsorted)) % 34.87/35.05 (define @t2 () (tptp.u1_struct_0 @t1)) % 34.87/35.05 (define @t3 () (@var "B" $$unsorted)) % 34.87/35.05 (define @t4 () (tptp.k18_filter_2 @t1 @t3)) % 34.87/35.05 (define @t5 () (@var "C" $$unsorted)) % 34.87/35.05 (define @t6 () (tptp.k3_lattices @t1 @t3 @t5)) % 34.87/35.05 (define @t7 () (tptp.m1_subset_1 @t5 @t2)) % 34.87/35.05 (define @t8 () (=> @t7 (= @t6 @t3))) % 34.87/35.05 (define @t9 () (@list @t5)) % 34.87/35.05 (define @t10 () (forall @t9 @t8)) % 34.87/35.05 (define @t11 () (not @t10)) % 34.87/35.05 (define @t12 () (and @t11 (= @t4 @t2))) % 34.87/35.05 (define @t13 () (not @t12)) % 34.87/35.05 (define @t14 () (tptp.m1_subset_1 @t3 @t2)) % 34.87/35.05 (define @t15 () (=> @t14 @t13)) % 34.87/35.05 (define @t16 () (@list @t3)) % 34.87/35.05 (define @t17 () (forall @t16 @t15)) % 34.87/35.05 (define @t18 () (tptp.l3_lattices @t1)) % 34.87/35.05 (define @t19 () (tptp.v10_lattices @t1)) % 34.87/35.05 (define @t20 () (tptp.v3_struct_0 @t1)) % 34.87/35.05 (define @t21 () (not @t20)) % 34.87/35.05 (define @t22 () (and @t21 @t19 @t18)) % 34.87/35.05 (define @t23 () (=> @t22 @t17)) % 34.87/35.05 (define @t24 () (@list @t1)) % 34.87/35.05 (define @t25 () (forall @t24 @t23)) % 34.87/35.05 (define @t26 () (not @t25)) % 34.87/35.05 (define @t27 () (tptp.u1_lattices @t1)) % 34.87/35.05 (define @t28 () (tptp.u2_lattices @t1)) % 34.87/35.05 (define @t29 () (= @t1 (tptp.g3_lattices @t2 @t28 @t27))) % 34.87/35.05 (define @t30 () (tptp.v3_lattices @t1)) % 34.87/35.05 (define @t31 () (=> @t30 @t29)) % 34.87/35.05 (define @t32 () (forall @t24 (=> @t18 @t31))) % 34.87/35.05 (define @t33 () (tptp.r2_hidden @t1 @t3)) % 34.87/35.05 (define @t34 () (@list @t1 @t3)) % 34.87/35.05 (define @t35 () (tptp.v1_funct_1 @t1)) % 34.87/35.05 (define @t36 () (tptp.v1_xboole_0 @t1)) % 34.87/35.05 (define @t37 () (tptp.v9_lattices @t1)) % 34.87/35.05 (define @t38 () (tptp.v8_lattices @t1)) % 34.87/35.05 (define @t39 () (tptp.v7_lattices @t1)) % 34.87/35.05 (define @t40 () (tptp.v6_lattices @t1)) % 34.87/35.05 (define @t41 () (tptp.v5_lattices @t1)) % 34.87/35.05 (define @t42 () (tptp.v4_lattices @t1)) % 34.87/35.05 (define @t43 () (and @t21 @t42 @t41 @t40 @t39 @t38 @t37)) % 34.87/35.05 (define @t44 () (and @t21 @t19)) % 34.87/35.05 (define @t45 () (=> @t44 @t43)) % 34.87/35.05 (define @t46 () (forall @t24 (=> @t18 @t45))) % 34.87/35.05 (define @t47 () (not @t36)) % 34.87/35.05 (define @t48 () (tptp.v1_realset1 @t1)) % 34.87/35.05 (define @t49 () (not @t48)) % 34.87/35.05 (define @t50 () (tptp.k2_zfmisc_1 @t1 @t3)) % 34.87/35.05 (define @t51 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 @t50))) % 34.87/35.05 (define @t52 () (@list @t1 @t3 @t5)) % 34.87/35.05 (define @t53 () (tptp.v1_relat_1 @t1)) % 34.87/35.05 (define @t54 () (and @t53 @t35 (tptp.v2_funct_1 @t1))) % 34.87/35.05 (define @t55 () (and @t53 @t36 @t35)) % 34.87/35.05 (define @t56 () (tptp.k2_tarski @t1 @t3)) % 34.87/35.05 (define @t57 () (tptp.l2_lattices @t1)) % 34.87/35.05 (define @t58 () (and @t21 @t42 @t57 @t14 @t7)) % 34.87/35.05 (define @t59 () (tptp.k4_lattices @t1 @t3 @t5)) % 34.87/35.05 (define @t60 () (tptp.l1_lattices @t1)) % 34.87/35.05 (define @t61 () (and @t21 @t40 @t60 @t14 @t7)) % 34.87/35.05 (define @t62 () (and @t53 @t35)) % 34.87/35.05 (define @t63 () (tptp.k1_lattices @t1 @t3 @t5)) % 34.87/35.05 (define @t64 () (= @t63 (tptp.k2_binop_1 @t2 @t2 @t2 @t28 @t3 @t5))) % 34.87/35.05 (define @t65 () (forall @t9 (=> @t7 @t64))) % 34.87/35.05 (define @t66 () (=> @t14 @t65)) % 34.87/35.05 (define @t67 () (forall @t16 @t66)) % 34.87/35.05 (define @t68 () (and @t21 @t57)) % 34.87/35.05 (define @t69 () (=> @t68 @t67)) % 34.87/35.05 (define @t70 () (forall @t24 @t69)) % 34.87/35.05 (define @t71 () (tptp.k1_lattice2 @t1)) % 34.87/35.05 (define @t72 () (= @t71 (tptp.g3_lattices @t2 @t27 @t28))) % 34.87/35.05 (define @t73 () (forall @t24 (=> @t18 @t72))) % 34.87/35.05 (define @t74 () (tptp.k2_lattices @t1 @t3 @t5)) % 34.87/35.05 (define @t75 () (= @t74 (tptp.k2_binop_1 @t2 @t2 @t2 @t27 @t3 @t5))) % 34.87/35.05 (define @t76 () (forall @t9 (=> @t7 @t75))) % 34.87/35.05 (define @t77 () (=> @t14 @t76)) % 34.87/35.05 (define @t78 () (forall @t16 @t77)) % 34.87/35.05 (define @t79 () (and @t21 @t60)) % 34.87/35.05 (define @t80 () (=> @t79 @t78)) % 34.87/35.05 (define @t81 () (forall @t24 @t80)) % 34.87/35.05 (define @t82 () (tptp.k2_filter_0 @t1 @t3)) % 34.87/35.05 (define @t83 () (tptp.k5_filter_2 @t1 @t3)) % 34.87/35.05 (define @t84 () (=> @t14 (= @t83 @t3))) % 34.87/35.05 (define @t85 () (forall @t16 @t84)) % 34.87/35.05 (define @t86 () (=> @t22 @t85)) % 34.87/35.05 (define @t87 () (forall @t24 @t86)) % 34.87/35.05 (define @t88 () (tptp.k1_tarski @t1)) % 34.87/35.05 (define @t89 () (tptp.g3_lattices @t1 @t3 @t5)) % 34.87/35.05 (define @t90 () (tptp.v3_lattices @t89)) % 34.87/35.05 (define @t91 () (and @t90 (tptp.l3_lattices @t89))) % 34.87/35.05 (define @t92 () (tptp.k2_zfmisc_1 @t1 @t1)) % 34.87/35.05 (define @t93 () (tptp.m1_relset_1 @t5 @t92 @t1)) % 34.87/35.05 (define @t94 () (tptp.v1_funct_2 @t5 @t92 @t1)) % 34.87/35.05 (define @t95 () (tptp.v1_funct_1 @t5)) % 34.87/35.05 (define @t96 () (tptp.m1_relset_1 @t3 @t92 @t1)) % 34.87/35.05 (define @t97 () (tptp.v1_funct_2 @t3 @t92 @t1)) % 34.87/35.05 (define @t98 () (tptp.v1_funct_1 @t3)) % 34.87/35.05 (define @t99 () (and @t98 @t97 @t96 @t95 @t94 @t93)) % 34.87/35.05 (define @t100 () (forall @t52 (=> @t99 @t91))) % 34.87/35.05 (define @t101 () (and @t21 @t19 @t18 @t14)) % 34.87/35.05 (define @t102 () (tptp.v3_lattices @t71)) % 34.87/35.05 (define @t103 () (and @t102 (tptp.l3_lattices @t71))) % 34.87/35.05 (define @t104 () (forall @t24 (=> @t18 @t103))) % 34.87/35.05 (define @t105 () (@var "F" $$unsorted)) % 34.87/35.05 (define @t106 () (@var "E" $$unsorted)) % 34.87/35.05 (define @t107 () (@var "D" $$unsorted)) % 34.87/35.05 (define @t108 () (tptp.k2_binop_1 @t1 @t3 @t5 @t107 @t106 @t105)) % 34.87/35.05 (define @t109 () (tptp.v1_xboole_0 @t3)) % 34.87/35.05 (define @t110 () (not @t109)) % 34.87/35.05 (define @t111 () (and @t47 @t110 (tptp.v1_funct_1 @t107) (tptp.v1_funct_2 @t107 @t50 @t5) (tptp.m1_relset_1 @t107 @t50 @t5) (tptp.m1_subset_1 @t106 @t1) (tptp.m1_subset_1 @t105 @t3))) % 34.87/35.05 (define @t112 () (@list @t1 @t3 @t5 @t107 @t106 @t105)) % 34.87/35.05 (define @t113 () (tptp.k2_filter_2 @t1 @t3)) % 34.87/35.05 (define @t114 () (tptp.m1_subset_1 @t83 (tptp.u1_struct_0 @t71))) % 34.87/35.05 (define @t115 () (forall @t34 (=> @t101 @t114))) % 34.87/35.05 (define @t116 () (tptp.l1_struct_0 @t1)) % 34.87/35.05 (define @t117 () (and @t60 @t57)) % 34.87/35.05 (define @t118 () (forall @t24 (=> @t18 @t117))) % 34.87/35.05 (define @t119 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t2))) % 34.87/35.05 (define @t120 () (tptp.m1_filter_0 @t3 @t1)) % 34.87/35.05 (define @t121 () (tptp.m2_lattice4 @t3 @t1)) % 34.87/35.05 (define @t122 () (and @t110 @t121)) % 34.87/35.05 (define @t123 () (tptp.m1_filter_2 @t3 @t1)) % 34.87/35.05 (define @t124 () (tptp.m2_filter_2 @t3 @t1)) % 34.87/35.05 (define @t125 () (tptp.m2_relset_1 @t5 @t1 @t3)) % 34.87/35.05 (define @t126 () (tptp.k2_zfmisc_1 @t2 @t2)) % 34.87/35.05 (define @t127 () (tptp.v1_funct_2 @t27 @t126 @t2)) % 34.87/35.05 (define @t128 () (tptp.v1_funct_1 @t27)) % 34.87/35.05 (define @t129 () (and @t128 @t127 (tptp.m2_relset_1 @t27 @t126 @t2))) % 34.87/35.05 (define @t130 () (forall @t24 (=> @t60 @t129))) % 34.87/35.05 (define @t131 () (tptp.v1_funct_2 @t28 @t126 @t2)) % 34.87/35.05 (define @t132 () (tptp.v1_funct_1 @t28)) % 34.87/35.05 (define @t133 () (and @t132 @t131 (tptp.m2_relset_1 @t28 @t126 @t2))) % 34.87/35.05 (define @t134 () (forall @t24 (=> @t57 @t133))) % 34.87/35.05 (define @t135 () (tptp.m1_relset_1 @t5 @t1 @t3)) % 34.87/35.05 (define @t136 () (not (tptp.v3_struct_0 @t71))) % 34.87/35.05 (define @t137 () (and @t136 @t102)) % 34.87/35.05 (define @t138 () (and @t21 @t18)) % 34.87/35.05 (define @t139 () (forall @t24 (=> @t138 @t137))) % 34.87/35.05 (define @t140 () (and @t21 @t116)) % 34.87/35.05 (define @t141 () (tptp.k1_zfmisc_1 @t1)) % 34.87/35.05 (define @t142 () (tptp.v1_partfun1 @t28 @t126 @t2)) % 34.87/35.05 (define @t143 () (tptp.v1_relat_1 @t28)) % 34.87/35.05 (define @t144 () (not (tptp.v1_xboole_0 @t88))) % 34.87/35.05 (define @t145 () (tptp.v1_partfun1 @t27 @t126 @t2)) % 34.87/35.05 (define @t146 () (tptp.v1_relat_1 @t27)) % 34.87/35.05 (define @t147 () (and @t136 @t102 (tptp.v4_lattices @t71) (tptp.v5_lattices @t71) (tptp.v6_lattices @t71) (tptp.v7_lattices @t71) (tptp.v8_lattices @t71) (tptp.v9_lattices @t71) (tptp.v10_lattices @t71))) % 34.87/35.05 (define @t148 () (forall @t24 (=> @t22 @t147))) % 34.87/35.05 (define @t149 () (= @t1 @t107)) % 34.87/35.05 (define @t150 () (tptp.u1_struct_0 @t3)) % 34.87/35.05 (define @t151 () (tptp.m1_subset_1 @t107 @t150)) % 34.87/35.05 (define @t152 () (@list @t107)) % 34.87/35.05 (define @t153 () (and (not (tptp.v3_struct_0 @t3)) (tptp.v10_lattices @t3) (tptp.l3_lattices @t3) (tptp.m1_subset_1 @t5 @t150))) % 34.87/35.05 (define @t154 () (and @t149 (= @t3 @t106) (= @t5 @t105))) % 34.87/35.05 (define @t155 () (= @t89 (tptp.g3_lattices @t107 @t106 @t105))) % 34.87/35.05 (define @t156 () (@list @t107 @t106 @t105)) % 34.87/35.05 (define @t157 () (forall @t156 (=> @t155 @t154))) % 34.87/35.05 (define @t158 () (=> @t99 @t157)) % 34.87/35.05 (define @t159 () (forall @t52 @t158)) % 34.87/35.05 (define @t160 () (tptp.m1_subset_1 @t3 @t141)) % 34.87/35.05 (define @t161 () (=> @t101 (= @t113 @t82))) % 34.87/35.05 (define @t162 () (forall @t34 @t161)) % 34.87/35.05 (define @t163 () (= @t6 @t63)) % 34.87/35.05 (define @t164 () (forall @t52 (=> @t58 @t163))) % 34.87/35.05 (define @t165 () (= @t59 @t74)) % 34.87/35.05 (define @t166 () (forall @t52 (=> @t61 @t165))) % 34.87/35.05 (define @t167 () (and @t21 @t40 @t38 @t37 @t18 @t14 @t7)) % 34.87/35.05 (define @t168 () (tptp.m1_subset_1 @t1 @t3)) % 34.87/35.05 (define @t169 () (=> @t7 (= @t59 @t3))) % 34.87/35.05 (define @t170 () (forall @t9 @t169)) % 34.87/35.05 (define @t171 () (not @t170)) % 34.87/35.05 (define @t172 () (and @t171 (= @t82 @t2))) % 34.87/35.05 (define @t173 () (not @t172)) % 34.87/35.05 (define @t174 () (=> @t14 @t173)) % 34.87/35.05 (define @t175 () (forall @t16 @t174)) % 34.87/35.05 (define @t176 () (=> @t22 @t175)) % 34.87/35.05 (define @t177 () (forall @t24 @t176)) % 34.87/35.05 (define @t178 () (= @t1 @t3)) % 34.87/35.05 (define @t179 () (tptp.k18_filter_2 @t71 @t83)) % 34.87/35.05 (define @t180 () (= @t4 (tptp.k2_filter_2 @t71 @t83))) % 34.87/35.05 (define @t181 () (and @t180 (= @t179 @t113))) % 34.87/35.05 (define @t182 () (=> @t14 @t181)) % 34.87/35.05 (define @t183 () (forall @t16 @t182)) % 34.87/35.05 (define @t184 () (=> @t22 @t183)) % 34.87/35.05 (define @t185 () (forall @t24 @t184)) % 34.87/35.05 (define @t186 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t5))) % 34.87/35.05 (define @t187 () (@var "BOUND_VARIABLE_8028" $$unsorted)) % 34.87/35.05 (define @t188 () (@var "BOUND_VARIABLE_8026" $$unsorted)) % 34.87/35.05 (define @t189 () (= @t188 (tptp.k3_lattices @t1 @t188 @t187))) % 34.87/35.05 (define @t190 () (not (tptp.m1_subset_1 @t187 @t2))) % 34.87/35.05 (define @t191 () (not (= @t2 (tptp.k18_filter_2 @t1 @t188)))) % 34.87/35.05 (define @t192 () (not (tptp.m1_subset_1 @t188 @t2))) % 34.87/35.05 (define @t193 () (not @t18)) % 34.87/35.05 (define @t194 () (not @t19)) % 34.87/35.05 (define @t195 () (or @t20 @t194 @t193 @t192 @t191 @t190 @t189)) % 34.87/35.05 (define @t196 () (or @t192 @t191 @t190 @t189)) % 34.87/35.05 (define @t197 () (or @t20 @t194 @t193 @t196)) % 34.87/35.05 (define @t198 () (@list @t1 @t188 @t187)) % 34.87/35.05 (define @t199 () (forall @t198 @t197)) % 34.87/35.05 (define @t200 () (@list @t188 @t187)) % 34.87/35.05 (define @t201 () (forall @t200 @t197)) % 34.87/35.05 (define @t202 () (forall @t200 @t196)) % 34.87/35.05 (define @t203 () (@var "BOUND_VARIABLE_8006" $$unsorted)) % 34.87/35.05 (define @t204 () (or @t20 @t194 @t193 @t202)) % 34.87/35.05 (define @t205 () (= @t3 (tptp.k3_lattices @t1 @t3 @t203))) % 34.87/35.05 (define @t206 () (not (tptp.m1_subset_1 @t203 @t2))) % 34.87/35.05 (define @t207 () (= @t2 @t4)) % 34.87/35.05 (define @t208 () (not @t207)) % 34.87/35.05 (define @t209 () (not @t14)) % 34.87/35.05 (define @t210 () (or @t209 @t208 @t206 @t205)) % 34.87/35.05 (define @t211 () (@list @t3 @t203)) % 34.87/35.05 (define @t212 () (forall @t211 @t210)) % 34.87/35.05 (define @t213 () (or @t20 @t194 @t193 @t212)) % 34.87/35.05 (define @t214 () (or @t20 @t194 @t193)) % 34.87/35.05 (define @t215 () (not @t21)) % 34.87/35.05 (define @t216 () (or @t215 @t194 @t193)) % 34.87/35.05 (define @t217 () (not @t22)) % 34.87/35.05 (define @t218 () (or @t206 @t205)) % 34.87/35.05 (define @t219 () (or @t209 @t218 @t208)) % 34.87/35.05 (define @t220 () (forall @t211 @t219)) % 34.87/35.05 (define @t221 () (@list @t203)) % 34.87/35.05 (define @t222 () (forall @t221 @t219)) % 34.87/35.05 (define @t223 () (forall @t221 @t218)) % 34.87/35.05 (define @t224 () (@list @t5)) % 34.87/35.05 (define @t225 () (or @t209 @t223 @t208)) % 34.87/35.05 (define @t226 () (= @t3 @t6)) % 34.87/35.05 (define @t227 () (not @t7)) % 34.87/35.05 (define @t228 () (forall @t9 (or @t227 @t226))) % 34.87/35.05 (define @t229 () (or @t209 @t228 @t208)) % 34.87/35.05 (define @t230 () (not @t228)) % 34.87/35.05 (define @t231 () (not (and @t230 @t207))) % 34.87/35.05 (define @t232 () (forall @t198 @t195)) % 34.87/35.05 (define @t233 () (@quantifiers_skolemize @t232 2)) % 34.87/35.05 (define @t234 () (@quantifiers_skolemize @t232 1)) % 34.87/35.05 (define @t235 () (@quantifiers_skolemize @t232 0)) % 34.87/35.05 (define @t236 () (tptp.k3_lattices @t235 @t234 @t233)) % 34.87/35.05 (define @t237 () (= @t234 @t236)) % 34.87/35.05 (define @t238 () (tptp.u1_struct_0 @t235)) % 34.87/35.05 (define @t239 () (tptp.m1_subset_1 @t233 @t238)) % 34.87/35.05 (define @t240 () (not @t239)) % 34.87/35.05 (define @t241 () (tptp.k18_filter_2 @t235 @t234)) % 34.87/35.05 (define @t242 () (= @t238 @t241)) % 34.87/35.05 (define @t243 () (not @t242)) % 34.87/35.05 (define @t244 () (tptp.m1_subset_1 @t234 @t238)) % 34.87/35.05 (define @t245 () (not @t244)) % 34.87/35.05 (define @t246 () (tptp.l3_lattices @t235)) % 34.87/35.05 (define @t247 () (not @t246)) % 34.87/35.05 (define @t248 () (tptp.v10_lattices @t235)) % 34.87/35.05 (define @t249 () (not @t248)) % 34.87/35.05 (define @t250 () (tptp.v3_struct_0 @t235)) % 34.87/35.05 (define @t251 () (or @t250 @t249 @t247 @t245 @t243 @t240 @t237)) % 34.87/35.05 (define @t252 () (not @t237)) % 34.87/35.05 (define @t253 () (@list true)) % 34.87/35.05 (define @t254 () (@list @t251)) % 34.87/35.05 (define @t255 () (not @t57)) % 34.87/35.05 (define @t256 () (not @t42)) % 34.87/35.06 (define @t257 () (or @t215 @t256 @t255 @t209 @t227)) % 34.87/35.06 (define @t258 () (or @t209 @t227)) % 34.87/35.06 (define @t259 () (not (and @t14 @t7))) % 34.87/35.06 (define @t260 () (@list @t235 @t234 @t233)) % 34.87/35.06 (define @t261 () (@list @t235)) % 34.87/35.06 (define @t262 () (tptp.l2_lattices @t235)) % 34.87/35.06 (define @t263 () (tptp.l1_lattices @t235)) % 34.87/35.06 (define @t264 () (and @t263 @t262)) % 34.87/35.06 (define @t265 () (or @t247 @t264)) % 34.87/35.06 (define @t266 () (@list false false)) % 34.87/35.06 (define @t267 () (not @t264)) % 34.87/35.06 (define @t268 () (@list false)) % 34.87/35.06 (define @t269 () (@list @t264)) % 34.87/35.06 (define @t270 () (or @t20 @t194 @t43)) % 34.87/35.06 (define @t271 () (not @t250)) % 34.87/35.06 (define @t272 () (tptp.v4_lattices @t235)) % 34.87/35.06 (define @t273 () (and @t271 @t272 (tptp.v5_lattices @t235) (tptp.v6_lattices @t235) (tptp.v7_lattices @t235) (tptp.v8_lattices @t235) (tptp.v9_lattices @t235))) % 34.87/35.06 (define @t274 () (or @t247 @t250 @t249 @t273)) % 34.87/35.06 (define @t275 () (@list true false false false)) % 34.87/35.06 (define @t276 () (tptp.k1_lattices @t235 @t234 @t233)) % 34.87/35.06 (define @t277 () (= @t236 @t276)) % 34.87/35.06 (define @t278 () (not @t262)) % 34.87/35.06 (define @t279 () (not @t272)) % 34.87/35.06 (define @t280 () (or @t250 @t279 @t278 @t245 @t240 @t277)) % 34.87/35.06 (define @t281 () (@list true false false false false false)) % 34.87/35.06 (define @t282 () (@var "BOUND_VARIABLE_8146" $$unsorted)) % 34.87/35.06 (define @t283 () (@var "BOUND_VARIABLE_8144" $$unsorted)) % 34.87/35.06 (define @t284 () (= (tptp.k1_lattices @t1 @t283 @t282) (tptp.k2_binop_1 @t2 @t2 @t2 @t28 @t283 @t282))) % 34.87/35.06 (define @t285 () (not (tptp.m1_subset_1 @t282 @t2))) % 34.87/35.06 (define @t286 () (not (tptp.m1_subset_1 @t283 @t2))) % 34.87/35.06 (define @t287 () (or @t286 @t285 @t284)) % 34.87/35.06 (define @t288 () (or @t20 @t255 @t287)) % 34.87/35.06 (define @t289 () (forall (@list @t1 @t283 @t282) @t288)) % 34.87/35.06 (define @t290 () (@list @t283 @t282)) % 34.87/35.06 (define @t291 () (forall @t290 @t288)) % 34.87/35.06 (define @t292 () (forall @t290 @t287)) % 34.87/35.06 (define @t293 () (@var "BOUND_VARIABLE_8125" $$unsorted)) % 34.87/35.06 (define @t294 () (or @t20 @t255 @t292)) % 34.87/35.06 (define @t295 () (= (tptp.k1_lattices @t1 @t3 @t293) (tptp.k2_binop_1 @t2 @t2 @t2 @t28 @t3 @t293))) % 34.87/35.06 (define @t296 () (not (tptp.m1_subset_1 @t293 @t2))) % 34.87/35.06 (define @t297 () (or @t209 @t296 @t295)) % 34.87/35.06 (define @t298 () (@list @t3 @t293)) % 34.87/35.06 (define @t299 () (forall @t298 @t297)) % 34.87/35.06 (define @t300 () (or @t20 @t255 @t299)) % 34.87/35.06 (define @t301 () (or @t296 @t295)) % 34.87/35.06 (define @t302 () (or @t209 @t301)) % 34.87/35.06 (define @t303 () (forall @t298 @t302)) % 34.87/35.06 (define @t304 () (@list @t293)) % 34.87/35.06 (define @t305 () (forall @t304 @t302)) % 34.87/35.06 (define @t306 () (forall @t304 @t301)) % 34.87/35.06 (define @t307 () (or @t209 @t306)) % 34.87/35.06 (define @t308 () (forall @t9 (or @t227 @t64))) % 34.87/35.06 (define @t309 () (tptp.u2_lattices @t235)) % 34.87/35.06 (define @t310 () (= @t276 (tptp.k2_binop_1 @t238 @t238 @t238 @t309 @t234 @t233))) % 34.87/35.06 (define @t311 () (or @t250 @t278 @t245 @t240 @t310)) % 34.87/35.06 (define @t312 () (@list true false false false false)) % 34.87/35.06 (define @t313 () (@var "BOUND_VARIABLE_8609" $$unsorted)) % 34.87/35.06 (define @t314 () (@var "BOUND_VARIABLE_8607" $$unsorted)) % 34.87/35.06 (define @t315 () (@var "BOUND_VARIABLE_8605" $$unsorted)) % 34.87/35.06 (define @t316 () (and (= @t1 @t315) (= @t3 @t314) (= @t5 @t313))) % 34.87/35.06 (define @t317 () (not (= @t89 (tptp.g3_lattices @t315 @t314 @t313)))) % 34.87/35.06 (define @t318 () (not @t93)) % 34.87/35.06 (define @t319 () (not @t94)) % 34.87/35.06 (define @t320 () (not @t95)) % 34.87/35.06 (define @t321 () (not @t96)) % 34.87/35.06 (define @t322 () (not @t97)) % 34.87/35.06 (define @t323 () (not @t98)) % 34.87/35.06 (define @t324 () (or @t317 @t316)) % 34.87/35.06 (define @t325 () (or @t323 @t322 @t321 @t320 @t319 @t318 @t324)) % 34.87/35.06 (define @t326 () (forall (@list @t1 @t3 @t5 @t315 @t314 @t313) @t325)) % 34.87/35.06 (define @t327 () (@list @t315 @t314 @t313)) % 34.87/35.06 (define @t328 () (forall @t327 @t325)) % 34.87/35.06 (define @t329 () (forall @t327 @t324)) % 34.87/35.06 (define @t330 () (or @t323 @t322 @t321 @t320 @t319 @t318 @t329)) % 34.87/35.06 (define @t331 () (forall @t156 (or (not @t155) @t154))) % 34.87/35.06 (define @t332 () (or @t323 @t322 @t321 @t320 @t319 @t318 @t331)) % 34.87/35.06 (define @t333 () (or @t323 @t322 @t321 @t320 @t319 @t318)) % 34.87/35.06 (define @t334 () (not @t99)) % 34.87/35.06 (define @t335 () (tptp.k1_lattice2 @t235)) % 34.87/35.06 (define @t336 () (tptp.u1_lattices @t335)) % 34.87/35.06 (define @t337 () (tptp.u2_lattices @t335)) % 34.87/35.06 (define @t338 () (tptp.u1_struct_0 @t335)) % 34.87/35.06 (define @t339 () (tptp.u1_lattices @t235)) % 34.87/35.06 (define @t340 () (not @t30)) % 34.87/35.06 (define @t341 () (tptp.l3_lattices @t335)) % 34.87/35.06 (define @t342 () (tptp.v3_lattices @t335)) % 34.87/35.06 (define @t343 () (and @t342 @t341)) % 34.87/35.06 (define @t344 () (or @t247 @t343)) % 34.87/35.06 (define @t345 () (tptp.v3_struct_0 @t335)) % 34.87/35.06 (define @t346 () (not @t345)) % 34.87/35.06 (define @t347 () (and @t346 @t342)) % 34.87/35.06 (define @t348 () (or @t250 @t247 @t347)) % 34.87/35.06 (define @t349 () (not @t347)) % 34.87/35.06 (define @t350 () (@list @t347)) % 34.87/35.06 (define @t351 () (tptp.g3_lattices @t338 @t337 @t336)) % 34.87/35.06 (define @t352 () (= @t335 @t351)) % 34.87/35.06 (define @t353 () (not @t342)) % 34.87/35.06 (define @t354 () (not @t341)) % 34.87/35.06 (define @t355 () (or @t354 @t353 @t352)) % 34.87/35.06 (define @t356 () (tptp.g3_lattices @t238 @t339 @t309)) % 34.87/35.06 (define @t357 () (= @t335 @t356)) % 34.87/35.06 (define @t358 () (or @t247 @t357)) % 34.87/35.06 (define @t359 () (tptp.k2_zfmisc_1 @t238 @t238)) % 34.87/35.06 (define @t360 () (tptp.m2_relset_1 @t309 @t359 @t238)) % 34.87/35.06 (define @t361 () (tptp.v1_funct_2 @t309 @t359 @t238)) % 34.87/35.06 (define @t362 () (tptp.v1_funct_1 @t309)) % 34.87/35.06 (define @t363 () (and @t362 @t361 @t360)) % 34.87/35.06 (define @t364 () (or @t278 @t363)) % 34.87/35.06 (define @t365 () (not @t363)) % 34.87/35.06 (define @t366 () (@list @t363)) % 34.87/35.06 (define @t367 () (tptp.m1_relset_1 @t309 @t359 @t238)) % 34.87/35.06 (define @t368 () (= @t360 @t367)) % 34.87/35.06 (define @t369 () (tptp.m2_relset_1 @t339 @t359 @t238)) % 34.87/35.06 (define @t370 () (tptp.v1_funct_2 @t339 @t359 @t238)) % 34.87/35.06 (define @t371 () (tptp.v1_funct_1 @t339)) % 34.87/35.06 (define @t372 () (and @t371 @t370 @t369)) % 34.87/35.06 (define @t373 () (not @t263)) % 34.87/35.06 (define @t374 () (or @t373 @t372)) % 34.87/35.06 (define @t375 () (not @t372)) % 34.87/35.06 (define @t376 () (@list @t372)) % 34.87/35.06 (define @t377 () (tptp.m1_relset_1 @t339 @t359 @t238)) % 34.87/35.06 (define @t378 () (= @t369 @t377)) % 34.87/35.06 (define @t379 () (= @t309 @t336)) % 34.87/35.06 (define @t380 () (= @t238 @t338)) % 34.87/35.06 (define @t381 () (and @t380 (= @t339 @t337) @t379)) % 34.87/35.06 (define @t382 () (= @t356 @t351)) % 34.87/35.06 (define @t383 () (not @t382)) % 34.87/35.06 (define @t384 () (not @t367)) % 34.87/35.06 (define @t385 () (not @t361)) % 34.87/35.06 (define @t386 () (not @t362)) % 34.87/35.06 (define @t387 () (not @t377)) % 34.87/35.06 (define @t388 () (not @t370)) % 34.87/35.06 (define @t389 () (not @t371)) % 34.87/35.06 (define @t390 () (or @t389 @t388 @t387 @t386 @t385 @t384 @t383 @t381)) % 34.87/35.06 (define @t391 () (not @t381)) % 34.87/35.06 (define @t392 () (@list @t381)) % 34.87/35.06 (define @t393 () (@var "BOUND_VARIABLE_8192" $$unsorted)) % 34.87/35.06 (define @t394 () (@var "BOUND_VARIABLE_8190" $$unsorted)) % 34.87/35.06 (define @t395 () (= (tptp.k2_lattices @t1 @t394 @t393) (tptp.k2_binop_1 @t2 @t2 @t2 @t27 @t394 @t393))) % 34.87/35.06 (define @t396 () (not (tptp.m1_subset_1 @t393 @t2))) % 34.87/35.06 (define @t397 () (not (tptp.m1_subset_1 @t394 @t2))) % 34.87/35.06 (define @t398 () (not @t60)) % 34.87/35.06 (define @t399 () (or @t397 @t396 @t395)) % 34.87/35.06 (define @t400 () (or @t20 @t398 @t399)) % 34.87/35.06 (define @t401 () (forall (@list @t1 @t394 @t393) @t400)) % 34.87/35.06 (define @t402 () (@list @t394 @t393)) % 34.87/35.06 (define @t403 () (forall @t402 @t400)) % 34.87/35.06 (define @t404 () (forall @t402 @t399)) % 34.87/35.06 (define @t405 () (@var "BOUND_VARIABLE_8171" $$unsorted)) % 34.87/35.06 (define @t406 () (or @t20 @t398 @t404)) % 34.87/35.06 (define @t407 () (= (tptp.k2_lattices @t1 @t3 @t405) (tptp.k2_binop_1 @t2 @t2 @t2 @t27 @t3 @t405))) % 34.87/35.06 (define @t408 () (not (tptp.m1_subset_1 @t405 @t2))) % 34.87/35.06 (define @t409 () (or @t209 @t408 @t407)) % 34.87/35.06 (define @t410 () (@list @t3 @t405)) % 34.87/35.06 (define @t411 () (forall @t410 @t409)) % 34.87/35.06 (define @t412 () (or @t20 @t398 @t411)) % 34.87/35.06 (define @t413 () (or @t408 @t407)) % 34.87/35.06 (define @t414 () (or @t209 @t413)) % 34.87/35.06 (define @t415 () (forall @t410 @t414)) % 34.87/35.06 (define @t416 () (@list @t405)) % 34.87/35.06 (define @t417 () (forall @t416 @t414)) % 34.87/35.06 (define @t418 () (forall @t416 @t413)) % 34.87/35.06 (define @t419 () (or @t209 @t418)) % 34.87/35.06 (define @t420 () (forall @t9 (or @t227 @t75))) % 34.87/35.06 (define @t421 () (@list @t335 @t234 @t233)) % 34.87/35.06 (define @t422 () (tptp.m1_subset_1 @t233 @t338)) % 34.87/35.06 (define @t423 () (tptp.m1_subset_1 @t234 @t338)) % 34.87/35.06 (define @t424 () (tptp.l3_lattices @t356)) % 34.87/35.06 (define @t425 () (and (tptp.v3_lattices @t356) @t424)) % 34.87/35.06 (define @t426 () (or @t389 @t388 @t387 @t386 @t385 @t384 @t425)) % 34.87/35.06 (define @t427 () (tptp.l1_lattices @t356)) % 34.87/35.06 (define @t428 () (and @t427 (tptp.l2_lattices @t356))) % 34.87/35.06 (define @t429 () (not @t424)) % 34.87/35.06 (define @t430 () (or @t429 @t428)) % 34.87/35.06 (define @t431 () (tptp.l1_lattices @t335)) % 34.87/35.06 (define @t432 () (tptp.k2_binop_1 @t338 @t338 @t338 @t336 @t234 @t233)) % 34.87/35.06 (define @t433 () (tptp.k2_lattices @t335 @t234 @t233)) % 34.87/35.06 (define @t434 () (= @t433 @t432)) % 34.87/35.06 (define @t435 () (not @t422)) % 34.87/35.06 (define @t436 () (not @t423)) % 34.87/35.06 (define @t437 () (not @t431)) % 34.87/35.06 (define @t438 () (or @t345 @t437 @t436 @t435 @t434)) % 34.87/35.06 (define @t439 () (not @t40)) % 34.87/35.06 (define @t440 () (or @t20 @t439 @t398 @t209 @t227 @t165)) % 34.87/35.06 (define @t441 () (or @t215 @t439 @t398 @t209 @t227)) % 34.87/35.06 (define @t442 () (tptp.k4_lattices @t335 @t234 @t233)) % 34.87/35.06 (define @t443 () (tptp.v6_lattices @t335)) % 34.87/35.06 (define @t444 () (not @t443)) % 34.87/35.06 (define @t445 () (or @t345 @t444 @t437 @t436 @t435 (= @t442 @t433))) % 34.87/35.06 (define @t446 () (forall @t52 @t440)) % 34.87/35.06 (define @t447 () (= @t433 @t442)) % 34.87/35.06 (define @t448 () (or @t345 @t444 @t437 @t436 @t435 @t447)) % 34.87/35.06 (define @t449 () (tptp.v10_lattices @t335)) % 34.87/35.06 (define @t450 () (and @t346 @t342 (tptp.v4_lattices @t335) (tptp.v5_lattices @t335) @t443 (tptp.v7_lattices @t335) (tptp.v8_lattices @t335) (tptp.v9_lattices @t335) @t449)) % 34.87/35.06 (define @t451 () (or @t250 @t249 @t247 @t450)) % 34.87/35.06 (define @t452 () (not @t450)) % 34.87/35.06 (define @t453 () (@list @t450)) % 34.87/35.06 (define @t454 () (@var "BOUND_VARIABLE_8813" $$unsorted)) % 34.87/35.06 (define @t455 () (@var "BOUND_VARIABLE_8811" $$unsorted)) % 34.87/35.06 (define @t456 () (= @t455 (tptp.k4_lattices @t1 @t455 @t454))) % 34.87/35.06 (define @t457 () (not (tptp.m1_subset_1 @t454 @t2))) % 34.87/35.06 (define @t458 () (not (= @t2 (tptp.k2_filter_0 @t1 @t455)))) % 34.87/35.06 (define @t459 () (not (tptp.m1_subset_1 @t455 @t2))) % 34.87/35.06 (define @t460 () (or @t459 @t458 @t457 @t456)) % 34.87/35.06 (define @t461 () (or @t20 @t194 @t193 @t460)) % 34.87/35.06 (define @t462 () (forall (@list @t1 @t455 @t454) @t461)) % 34.87/35.06 (define @t463 () (@list @t455 @t454)) % 34.87/35.06 (define @t464 () (forall @t463 @t461)) % 34.87/35.06 (define @t465 () (forall @t463 @t460)) % 34.87/35.06 (define @t466 () (@var "BOUND_VARIABLE_8795" $$unsorted)) % 34.87/35.06 (define @t467 () (or @t20 @t194 @t193 @t465)) % 34.87/35.06 (define @t468 () (= @t3 (tptp.k4_lattices @t1 @t3 @t466))) % 34.87/35.06 (define @t469 () (not (tptp.m1_subset_1 @t466 @t2))) % 34.87/35.06 (define @t470 () (= @t2 @t82)) % 34.87/35.06 (define @t471 () (not @t470)) % 34.87/35.06 (define @t472 () (or @t209 @t471 @t469 @t468)) % 34.87/35.06 (define @t473 () (@list @t3 @t466)) % 34.87/35.06 (define @t474 () (forall @t473 @t472)) % 34.87/35.06 (define @t475 () (or @t20 @t194 @t193 @t474)) % 34.87/35.06 (define @t476 () (or @t469 @t468)) % 34.87/35.06 (define @t477 () (or @t209 @t476 @t471)) % 34.87/35.06 (define @t478 () (forall @t473 @t477)) % 34.87/35.06 (define @t479 () (@list @t466)) % 34.87/35.06 (define @t480 () (forall @t479 @t477)) % 34.87/35.06 (define @t481 () (forall @t479 @t476)) % 34.87/35.06 (define @t482 () (or @t209 @t481 @t471)) % 34.87/35.06 (define @t483 () (= @t3 @t59)) % 34.87/35.06 (define @t484 () (forall @t9 (or @t227 @t483))) % 34.87/35.06 (define @t485 () (or @t209 @t484 @t471)) % 34.87/35.06 (define @t486 () (not @t484)) % 34.87/35.06 (define @t487 () (not (and @t486 @t470))) % 34.87/35.06 (define @t488 () (@var "BOUND_VARIABLE_8237" $$unsorted)) % 34.87/35.06 (define @t489 () (= @t488 (tptp.k5_filter_2 @t1 @t488))) % 34.87/35.06 (define @t490 () (not (tptp.m1_subset_1 @t488 @t2))) % 34.87/35.06 (define @t491 () (or @t490 @t489)) % 34.87/35.06 (define @t492 () (or @t20 @t194 @t193 @t491)) % 34.87/35.06 (define @t493 () (forall (@list @t1 @t488) @t492)) % 34.87/35.06 (define @t494 () (@list @t488)) % 34.87/35.06 (define @t495 () (forall @t494 @t492)) % 34.87/35.06 (define @t496 () (forall @t494 @t491)) % 34.87/35.06 (define @t497 () (@list @t3)) % 34.87/35.06 (define @t498 () (or @t20 @t194 @t193 @t496)) % 34.87/35.06 (define @t499 () (= @t3 @t83)) % 34.87/35.06 (define @t500 () (forall @t16 (or @t209 @t499))) % 34.87/35.06 (define @t501 () (or @t20 @t194 @t193 @t500)) % 34.87/35.06 (define @t502 () (@list @t235 @t234)) % 34.87/35.06 (define @t503 () (tptp.k5_filter_2 @t235 @t234)) % 34.87/35.06 (define @t504 () (= @t234 @t503)) % 34.87/35.06 (define @t505 () (or @t250 @t249 @t247 @t245 @t504)) % 34.87/35.06 (define @t506 () (tptp.k2_filter_0 @t335 @t503)) % 34.87/35.06 (define @t507 () (= @t82 @t113)) % 34.87/35.06 (define @t508 () (or @t20 @t194 @t193 @t209 @t507)) % 34.87/35.06 (define @t509 () (or @t20 @t194 @t193 @t209)) % 34.87/35.06 (define @t510 () (or @t215 @t194 @t193 @t209)) % 34.87/35.06 (define @t511 () (not @t101)) % 34.87/35.06 (define @t512 () (tptp.k2_filter_2 @t335 @t503)) % 34.87/35.06 (define @t513 () (tptp.m1_subset_1 @t503 @t338)) % 34.87/35.06 (define @t514 () (not @t513)) % 34.87/35.06 (define @t515 () (not @t449)) % 34.87/35.06 (define @t516 () (or @t345 @t515 @t354 @t514 (= @t506 @t512))) % 34.87/35.06 (define @t517 () (forall @t34 @t508)) % 34.87/35.06 (define @t518 () (= @t512 @t506)) % 34.87/35.06 (define @t519 () (or @t345 @t515 @t354 @t514 @t518)) % 34.87/35.06 (define @t520 () (or @t250 @t249 @t247 @t245 @t513)) % 34.87/35.06 (define @t521 () (@var "BOUND_VARIABLE_8849" $$unsorted)) % 34.87/35.06 (define @t522 () (tptp.k5_filter_2 @t1 @t521)) % 34.87/35.06 (define @t523 () (and (= (tptp.k18_filter_2 @t1 @t521) (tptp.k2_filter_2 @t71 @t522)) (= (tptp.k2_filter_2 @t1 @t521) (tptp.k18_filter_2 @t71 @t522)))) % 34.87/35.06 (define @t524 () (not (tptp.m1_subset_1 @t521 @t2))) % 34.87/35.06 (define @t525 () (or @t524 @t523)) % 34.87/35.06 (define @t526 () (or @t20 @t194 @t193 @t525)) % 34.87/35.06 (define @t527 () (forall (@list @t1 @t521) @t526)) % 34.87/35.06 (define @t528 () (@list @t521)) % 34.87/35.06 (define @t529 () (forall @t528 @t526)) % 34.87/35.06 (define @t530 () (forall @t528 @t525)) % 34.87/35.06 (define @t531 () (or @t20 @t194 @t193 @t530)) % 34.87/35.06 (define @t532 () (and @t180 (= @t113 @t179))) % 34.87/35.06 (define @t533 () (forall @t16 (or @t209 @t532))) % 34.87/35.06 (define @t534 () (or @t20 @t194 @t193 @t533)) % 34.87/35.06 (define @t535 () (= @t241 @t512)) % 34.87/35.06 (define @t536 () (and @t535 (= (tptp.k2_filter_2 @t235 @t234) (tptp.k18_filter_2 @t335 @t503)))) % 34.87/35.06 (define @t537 () (or @t250 @t249 @t247 @t245 @t536)) % 34.87/35.06 (define @t538 () (= @t234 @t442)) % 34.87/35.06 (define @t539 () (= @t338 (tptp.k2_filter_0 @t335 @t234))) % 34.87/35.06 (define @t540 () (not @t539)) % 34.87/35.06 (define @t541 () (or @t345 @t515 @t354 @t436 @t540 @t435 @t538)) % 34.87/35.06 (define @t542 () (not @t538)) % 34.87/35.06 (define @t543 () (not @t447)) % 34.87/35.06 (define @t544 () (not @t434)) % 34.87/35.06 (define @t545 () (not @t379)) % 34.87/35.06 (define @t546 () (not @t380)) % 34.87/35.06 (define @t547 () (not @t310)) % 34.87/35.06 (define @t548 () (not @t277)) % 34.87/35.06 (define @t549 () (and @t252 @t277 @t310 @t380 @t379 @t434 @t447)) % 34.87/35.06 (assume @p1 @t26) % 34.87/35.06 (assume @p2 @t32) % 34.87/35.06 (assume @p3 (forall @t34 (=> @t33 (not (tptp.r2_hidden @t3 @t1))))) % 34.87/35.06 (assume @p4 (forall @t24 (=> @t36 @t35))) % 34.87/35.06 (assume @p5 @t46) % 34.87/35.06 (assume @p6 (forall @t24 (=> @t49 @t47))) % 34.87/35.06 (assume @p7 (forall @t52 (=> @t51 (tptp.v1_relat_1 @t5)))) % 34.87/35.06 (assume @p8 (forall @t24 (=> @t55 @t54))) % 34.87/35.06 (assume @p9 (forall @t24 (=> @t18 (=> @t43 @t44)))) % 34.87/35.06 (assume @p10 (forall @t34 (= @t56 (tptp.k2_tarski @t3 @t1)))) % 34.87/35.06 (assume @p11 (forall @t52 (=> @t58 (= @t6 (tptp.k3_lattices @t1 @t5 @t3))))) % 34.87/35.06 (assume @p12 (forall @t52 (=> @t61 (= @t59 (tptp.k4_lattices @t1 @t5 @t3))))) % 34.87/35.06 (assume @p13 (forall @t24 (=> @t62 (forall (@list @t3 @t5) (= (tptp.k1_binop_1 @t1 @t3 @t5) (tptp.k1_funct_1 @t1 (tptp.k4_tarski @t3 @t5))))))) % 34.87/35.06 (assume @p14 @t70) % 34.87/35.06 (assume @p15 @t73) % 34.87/35.06 (assume @p16 @t81) % 34.87/35.06 (assume @p17 (forall @t24 (=> @t22 (forall @t16 (=> @t14 (= @t82 (tptp.a_2_0_filter_0 @t1 @t3))))))) % 34.87/35.06 (assume @p18 @t87) % 34.87/35.06 (assume @p19 (forall @t34 (= (tptp.k4_tarski @t1 @t3) (tptp.k2_tarski @t56 @t88)))) % 34.87/35.06 (assume @p20 (forall @t24 (=> @t22 (forall @t16 (=> @t14 (= @t4 (tptp.a_2_0_filter_2 @t1 @t3))))))) % 34.87/35.06 (assume @p21 @t100) % 34.87/35.06 (assume @p22 (forall @t34 (=> @t101 (tptp.m2_filter_2 @t4 @t1)))) % 34.87/35.06 (assume @p23 true) % 34.87/35.06 (assume @p24 @t104) % 34.87/35.06 (assume @p25 (forall @t52 (=> (and @t21 @t57 @t14 @t7) (tptp.m1_subset_1 @t63 @t2)))) % 34.87/35.06 (assume @p26 (forall @t112 (=> @t111 (tptp.m1_subset_1 @t108 @t5)))) % 34.87/35.06 (assume @p27 (forall @t34 (=> @t101 (tptp.m1_filter_0 @t82 @t1)))) % 34.87/35.06 (assume @p28 (forall @t34 (=> @t101 (tptp.m1_filter_2 @t113 @t1)))) % 34.87/35.06 (assume @p29 (forall @t52 (=> (and @t21 @t60 @t14 @t7) (tptp.m1_subset_1 @t74 @t2)))) % 34.87/35.06 (assume @p30 (forall @t52 (=> @t58 (tptp.m1_subset_1 @t6 @t2)))) % 34.87/35.06 (assume @p31 (forall @t52 (=> @t61 (tptp.m1_subset_1 @t59 @t2)))) % 34.87/35.06 (assume @p32 @t115) % 34.87/35.06 (assume @p33 (forall @t24 (=> @t60 @t116))) % 34.87/35.06 (assume @p34 (forall @t24 (=> @t57 @t116))) % 34.87/35.06 (assume @p35 @t118) % 34.87/35.06 (assume @p36 (forall @t24 (=> @t22 (forall @t16 (=> @t120 (and @t110 @t119)))))) % 34.87/35.06 (assume @p37 (forall @t24 (=> @t22 (forall @t16 (=> @t123 @t122))))) % 34.87/35.06 (assume @p38 (forall @t24 (=> @t22 (forall @t16 (=> @t124 @t122))))) % 34.87/35.06 (assume @p39 (forall @t24 (=> @t22 (forall @t16 (=> @t121 @t119))))) % 34.87/35.06 (assume @p40 (forall @t52 (=> @t125 @t51))) % 34.87/35.06 (assume @p41 @t130) % 34.87/35.06 (assume @p42 @t134) % 34.87/35.06 (assume @p43 (exists @t24 @t60)) % 34.87/35.06 (assume @p44 (exists @t24 @t116)) % 34.87/35.06 (assume @p45 (exists @t24 @t57)) % 34.87/35.06 (assume @p46 (exists @t24 @t18)) % 34.87/35.06 (assume @p47 (forall @t24 (=> @t22 (exists @t16 @t120)))) % 34.87/35.06 (assume @p48 (forall @t24 (=> @t22 (exists @t16 @t123)))) % 34.87/35.06 (assume @p49 (forall @t34 (exists @t9 @t135))) % 34.87/35.06 (assume @p50 (forall @t24 (exists @t16 (tptp.m1_subset_1 @t3 @t1)))) % 34.87/35.06 (assume @p51 (forall @t24 (=> @t22 (exists @t16 @t124)))) % 34.87/35.06 (assume @p52 (forall @t24 (=> @t22 (exists @t16 @t121)))) % 34.87/35.06 (assume @p53 (forall @t34 (exists @t9 @t125))) % 34.87/35.06 (assume @p54 @t139) % 34.87/35.06 (assume @p55 (forall @t24 (=> @t140 (not (tptp.v1_xboole_0 @t2))))) % 34.87/35.06 (assume @p56 (forall @t24 (not (tptp.v1_xboole_0 @t141)))) % 34.87/35.06 (assume @p57 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 34.87/35.06 (assume @p58 (forall @t24 (=> (and @t21 @t42 @t57) (and @t143 @t132 @t131 (tptp.v1_binop_1 @t28 @t2) @t142)))) % 34.87/35.06 (assume @p59 (forall @t24 @t144)) % 34.87/35.06 (assume @p60 (forall @t24 (=> (and @t21 @t41 @t57) (and @t143 @t132 @t131 (tptp.v2_binop_1 @t28 @t2) @t142)))) % 34.87/35.06 (assume @p61 (forall @t52 (=> (and @t47 @t98 @t97 @t96 @t95 @t94 @t93) (and (not (tptp.v3_struct_0 @t89)) @t90)))) % 34.87/35.06 (assume @p62 (forall @t24 (and @t144 (tptp.v1_finset_1 @t88) (tptp.v1_realset1 @t88)))) % 34.87/35.06 (assume @p63 (forall @t34 (not (tptp.v1_xboole_0 @t56)))) % 34.87/35.06 (assume @p64 (forall @t24 (=> (and @t21 @t40 @t60) (and @t146 @t128 @t127 (tptp.v1_binop_1 @t27 @t2) @t145)))) % 34.87/35.06 (assume @p65 (forall @t34 (=> (and @t47 @t110) (not (tptp.v1_xboole_0 @t50))))) % 34.87/35.06 (assume @p66 (forall @t24 (=> (and @t21 @t39 @t60) (and @t146 @t128 @t127 (tptp.v2_binop_1 @t27 @t2) @t145)))) % 34.87/35.06 (assume @p67 @t148) % 34.87/35.06 (assume @p68 (forall @t52 (=> @t153 (= (tptp.r2_hidden @t1 (tptp.a_2_0_filter_0 @t3 @t5)) (exists @t152 (and @t151 @t149 (tptp.r3_lattices @t3 @t5 @t107))))))) % 34.87/35.06 (assume @p69 (forall @t52 (=> @t153 (= (tptp.r2_hidden @t1 (tptp.a_2_0_filter_2 @t3 @t5)) (exists @t152 (and @t151 @t149 (tptp.r3_lattices @t3 @t107 @t5))))))) % 34.87/35.06 (assume @p70 @t159) % 34.87/35.06 (assume @p71 (exists @t24 @t62)) % 34.87/35.06 (assume @p72 (forall @t24 (=> @t22 (exists @t16 (and @t121 @t110))))) % 34.87/35.06 (assume @p73 (exists @t24 (and @t47 @t48))) % 34.87/35.06 (assume @p74 (forall @t24 (=> @t47 (exists @t16 (and @t160 @t110))))) % 34.87/35.06 (assume @p75 (exists @t24 @t36)) % 34.87/35.06 (assume @p76 (exists @t24 @t55)) % 34.87/35.06 (assume @p77 (exists @t24 (and @t47 @t49))) % 34.87/35.06 (assume @p78 (forall @t24 (exists @t16 (and @t160 @t109)))) % 34.87/35.06 (assume @p79 (exists @t24 @t47)) % 34.87/35.06 (assume @p80 (exists @t24 @t54)) % 34.87/35.06 (assume @p81 (exists @t24 (and @t18 @t30))) % 34.87/35.06 (assume @p82 (exists @t24 (and @t116 @t21))) % 34.87/35.06 (assume @p83 (forall @t24 (=> @t140 (exists @t16 (and @t119 @t110))))) % 34.87/35.06 (assume @p84 (exists @t24 (and @t18 @t21 @t30))) % 34.87/35.06 (assume @p85 (exists @t24 (and @t18 @t21 @t30 @t42 @t41 @t40 @t39 @t38 @t37 @t19))) % 34.87/35.06 (assume @p86 (forall @t112 (=> @t111 (= @t108 (tptp.k1_binop_1 @t107 @t106 @t105))))) % 34.87/35.06 (assume @p87 @t162) % 34.87/35.06 (assume @p88 @t164) % 34.87/35.06 (assume @p89 @t166) % 34.87/35.06 (assume @p90 (forall @t24 (=> @t22 (forall @t16 (= @t123 @t120))))) % 34.87/35.06 (assume @p91 (forall @t52 (= @t125 @t135))) % 34.87/35.06 (assume @p92 (forall @t52 (=> @t167 (= (tptp.r3_lattices @t1 @t3 @t5) (tptp.r1_lattices @t1 @t3 @t5))))) % 34.87/35.06 (assume @p93 (forall @t34 (tptp.r1_tarski @t1 @t1))) % 34.87/35.06 (assume @p94 (forall @t52 (=> @t167 (tptp.r3_lattices @t1 @t3 @t3)))) % 34.87/35.06 (assume @p95 (forall @t34 (=> @t33 @t168))) % 34.87/35.06 (assume @p96 @t177) % 34.87/35.06 (assume @p97 (forall @t34 (=> @t168 (or @t109 @t33)))) % 34.87/35.06 (assume @p98 (forall @t34 (=> (forall @t9 (= (tptp.r2_hidden @t5 @t1) (tptp.r2_hidden @t5 @t3))) @t178))) % 34.87/35.06 (assume @p99 @t185) % 34.87/35.06 (assume @p100 (forall @t34 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t3)) (tptp.r1_tarski @t1 @t3)))) % 34.87/35.06 (assume @p101 (forall @t52 (=> (and @t33 @t186) (tptp.m1_subset_1 @t1 @t5)))) % 34.87/35.06 (assume @p102 (forall @t52 (not (and @t33 @t186 (tptp.v1_xboole_0 @t5))))) % 34.87/35.06 (assume @p103 (forall @t24 (=> @t36 (= @t1 tptp.k1_xboole_0)))) % 34.87/35.06 (assume @p104 (forall @t34 (not (and @t33 @t109)))) % 34.87/35.06 (assume @p105 (forall @t34 (not (and @t36 (not @t178) @t109)))) % 34.87/35.06 (step @p106 :rule aci_norm :args ((= @t197 @t195))) % 34.87/35.06 (step @p107 :rule cong :premises (@p106) :args (@t199)) % 34.87/35.06 (step @p108 :rule quant-merge-prenex :args ((= (forall @t24 @t201) @t199))) % 34.87/35.06 (step @p109 :rule alpha_equiv :args (@t202 (@list @t188 @t187) (@list @t3 @t203))) % 34.87/35.06 (step @p110 :rule refl :args (@t193)) % 34.87/35.06 (step @p111 :rule refl :args (@t194)) % 34.87/35.06 (step @p112 :rule refl :args (@t20)) % 34.87/35.06 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110 @p109) :args (@t204)) % 34.87/35.06 (step @p114 :rule quant-miniscope-or :args ((= @t201 @t204))) % 34.87/35.06 (step @p115 :rule trans :premises (@p114 @p113)) % 34.87/35.06 (step @p116 :rule symm :premises (@p115)) % 34.87/35.06 (step @p117 :rule cong :premises (@p116) :args ((forall @t24 @t213))) % 34.87/35.06 (step @p118 :rule trans :premises (@p117 @p108)) % 34.87/35.06 (step @p119 :rule trans :premises (@p118 @p107)) % 34.87/35.06 (step @p120 :rule aci_norm :args ((= (or @t214 @t212) @t213))) % 34.87/35.06 (step @p121 :rule refl :args (@t212)) % 34.87/35.06 (step @p122 :rule bool-double-not-elim :args (@t20)) % 34.87/35.06 (step @p123 :rule nary_cong :premises (@p122 @p111 @p110) :args (@t216)) % 34.87/35.06 (step @p124 :rule aci_norm :args ((= (or @t215 (or @t194 @t193)) @t216))) % 34.87/35.06 (step @p125 :rule trans :premises (@p124 @p123)) % 34.87/35.06 (step @p126 :rule bool-and-de-morgan :args (@t19 @t18 true)) % 34.87/35.06 (step @p127 :rule refl :args (@t215)) % 34.87/35.06 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t215 (not (and @t19 @t18))))) % 34.87/35.06 (step @p129 :rule bool-and-de-morgan :args (@t21 @t19 (and @t18))) % 34.87/35.06 (step @p130 :rule trans :premises (@p129 @p128)) % 34.87/35.06 (step @p131 :rule trans :premises (@p130 @p125)) % 34.87/35.06 (step @p132 :rule nary_cong :premises (@p131 @p121) :args ((or @t217 @t212))) % 34.87/35.06 (step @p133 :rule trans :premises (@p132 @p120)) % 34.87/35.06 (step @p134 :rule bool-impl-elim :args (@t22 @t212)) % 34.87/35.06 (step @p135 :rule trans :premises (@p134 @p133)) % 34.87/35.06 (step @p136 :rule cong :premises (@p135) :args ((forall @t24 (=> @t22 @t212)))) % 34.87/35.06 (step @p137 :rule trans :premises (@p136 @p119)) % 34.87/35.06 (step @p138 :rule aci_norm :args ((= @t219 @t210))) % 34.87/35.06 (step @p139 :rule cong :premises (@p138) :args (@t220)) % 34.87/35.06 (step @p140 :rule quant-merge-prenex :args ((= (forall @t16 @t222) @t220))) % 34.87/35.06 (step @p141 :rule refl :args (@t208)) % 34.87/35.06 (step @p142 :rule alpha_equiv :args (@t223 (@list @t203) @t224)) % 34.87/35.06 (step @p143 :rule refl :args (@t209)) % 34.87/35.06 (step @p144 :rule nary_cong :premises (@p143 @p142 @p141) :args (@t225)) % 34.87/35.06 (step @p145 :rule quant-miniscope-or :args ((= @t222 @t225))) % 34.87/35.06 (step @p146 :rule trans :premises (@p145 @p144)) % 34.87/35.06 (step @p147 :rule symm :premises (@p146)) % 34.87/35.06 (step @p148 :rule cong :premises (@p147) :args ((forall @t16 @t229))) % 34.87/35.06 (step @p149 :rule trans :premises (@p148 @p140)) % 34.87/35.06 (step @p150 :rule trans :premises (@p149 @p139)) % 34.87/35.06 (step @p151 :rule aci_norm :args ((= (or @t209 (or @t228 @t208)) @t229))) % 34.87/35.06 (step @p152 :rule bool-double-not-elim :args (@t228)) % 34.87/35.06 (step @p153 :rule nary_cong :premises (@p152 @p141) :args ((or (not @t230) @t208))) % 34.87/35.06 (step @p154 :rule bool-and-de-morgan :args (@t230 @t207 true)) % 34.87/35.06 (step @p155 :rule trans :premises (@p154 @p153)) % 34.87/35.06 (step @p156 :rule nary_cong :premises (@p143 @p155) :args ((or @t209 @t231))) % 34.87/35.06 (step @p157 :rule trans :premises (@p156 @p151)) % 34.87/35.06 (step @p158 :rule bool-impl-elim :args (@t14 @t231)) % 34.87/35.06 (step @p159 :rule trans :premises (@p158 @p157)) % 34.87/35.06 (step @p160 :rule cong :premises (@p159) :args ((forall @t16 (=> @t14 @t231)))) % 34.87/35.06 (step @p161 :rule trans :premises (@p160 @p150)) % 34.87/35.06 (step @p162 :rule eq-symm :args (@t4 @t2)) % 34.87/35.06 (step @p163 :rule bool-impl-elim :args (@t7 @t226)) % 34.87/35.06 (step @p164 :rule cong :premises (@p163) :args ((forall @t9 (=> @t7 @t226)))) % 34.87/35.06 (step @p165 :rule eq-symm :args (@t6 @t3)) % 34.87/35.06 (step @p166 :rule refl :args (@t7)) % 34.87/35.06 (step @p167 :rule cong :premises (@p166 @p165) :args (@t8)) % 34.87/35.06 (step @p168 :rule cong :premises (@p167) :args (@t10)) % 34.87/35.06 (step @p169 :rule trans :premises (@p168 @p164)) % 34.87/35.06 (step @p170 :rule cong :premises (@p169) :args (@t11)) % 34.87/35.06 (step @p171 :rule nary_cong :premises (@p170 @p162) :args (@t12)) % 34.87/35.06 (step @p172 :rule cong :premises (@p171) :args (@t13)) % 34.87/35.06 (step @p173 :rule refl :args (@t14)) % 34.87/35.06 (step @p174 :rule cong :premises (@p173 @p172) :args (@t15)) % 34.87/35.06 (step @p175 :rule cong :premises (@p174) :args (@t17)) % 34.87/35.06 (step @p176 :rule trans :premises (@p175 @p161)) % 34.87/35.06 (step @p177 :rule refl :args (@t22)) % 34.87/35.06 (step @p178 :rule cong :premises (@p177 @p176) :args (@t23)) % 34.87/35.06 (step @p179 :rule cong :premises (@p178) :args (@t25)) % 34.87/35.06 (step @p180 :rule trans :premises (@p179 @p137)) % 34.87/35.06 (step @p181 :rule cong :premises (@p180) :args (@t26)) % 34.87/35.06 (step @p182 :rule eq_resolve :premises (@p1 @p181)) % 34.87/35.06 (step @p183 :rule skolemize :premises (@p182)) % 34.87/35.06 (step @p184 :rule cnf_or_neg :args (@t251 6)) % 34.87/35.06 (step @p185 :rule chain_m_resolution :premises (@p184 @p183) :args (@t252 @t253 @t254)) % 34.87/35.06 (step @p186 :rule aci_norm :args ((= (or (or @t20 @t256 @t255 @t209 @t227) @t163) (or @t20 @t256 @t255 @t209 @t227 @t163)))) % 34.87/35.06 (step @p187 :rule refl :args (@t163)) % 34.87/35.06 (step @p188 :rule refl :args (@t227)) % 34.87/35.06 (step @p189 :rule refl :args (@t255)) % 34.87/35.06 (step @p190 :rule refl :args (@t256)) % 34.87/35.06 (step @p191 :rule nary_cong :premises (@p122 @p190 @p189 @p143 @p188) :args (@t257)) % 34.87/35.06 (step @p192 :rule aci_norm :args ((= (or @t215 (or @t256 (or @t255 @t258))) @t257))) % 34.87/35.06 (step @p193 :rule trans :premises (@p192 @p191)) % 34.87/35.06 (step @p194 :rule bool-and-de-morgan :args (@t14 @t7 true)) % 34.87/35.06 (step @p195 :rule nary_cong :premises (@p189 @p194) :args ((or @t255 @t259))) % 34.87/35.06 (step @p196 :rule bool-and-de-morgan :args (@t57 @t14 (and @t7))) % 34.87/35.06 (step @p197 :rule trans :premises (@p196 @p195)) % 34.87/35.06 (step @p198 :rule nary_cong :premises (@p190 @p197) :args ((or @t256 (not (and @t57 @t14 @t7))))) % 34.87/35.06 (step @p199 :rule bool-and-de-morgan :args (@t42 @t57 (and @t14 @t7))) % 34.87/35.06 (step @p200 :rule trans :premises (@p199 @p198)) % 34.87/35.06 (step @p201 :rule nary_cong :premises (@p127 @p200) :args ((or @t215 (not (and @t42 @t57 @t14 @t7))))) % 34.87/35.06 (step @p202 :rule bool-and-de-morgan :args (@t21 @t42 (and @t57 @t14 @t7))) % 34.87/35.06 (step @p203 :rule trans :premises (@p202 @p201)) % 34.87/35.06 (step @p204 :rule trans :premises (@p203 @p193)) % 34.87/35.06 (step @p205 :rule nary_cong :premises (@p204 @p187) :args ((or (not @t58) @t163))) % 34.87/35.06 (step @p206 :rule trans :premises (@p205 @p186)) % 34.87/35.06 (step @p207 :rule bool-impl-elim :args (@t58 @t163)) % 34.87/35.06 (step @p208 :rule trans :premises (@p207 @p206)) % 34.87/35.06 (step @p209 :rule cong :premises (@p208) :args (@t164)) % 34.87/35.06 (step @p210 :rule eq_resolve :premises (@p88 @p209)) % 34.87/35.06 (step @p211 :rule instantiate :premises (@p210) :args (@t260)) % 34.87/35.06 (step @p212 :rule bool-impl-elim :args (@t18 @t117)) % 34.87/35.06 (step @p213 :rule cong :premises (@p212) :args (@t118)) % 34.87/35.06 (step @p214 :rule eq_resolve :premises (@p35 @p213)) % 34.87/35.06 (step @p215 :rule instantiate :premises (@p214) :args (@t261)) % 34.87/35.06 (step @p216 :rule bool-double-not-elim :args (@t246)) % 34.87/35.06 (step @p217 :rule refl :args (@t251)) % 34.87/35.06 (step @p218 :rule nary_cong :premises (@p217 @p216) :args ((or @t251 (not @t247)))) % 34.87/35.06 (step @p219 :rule cnf_or_neg :args (@t251 2)) % 34.87/35.06 (step @p220 :rule eq_resolve :premises (@p219 @p218)) % 34.87/35.06 (step @p221 :rule reordering :premises (@p220) :args ((or @t246 @t251))) % 34.87/35.06 (step @p222 :rule chain_m_resolution :premises (@p221 @p183) :args (@t246 @t253 @t254)) % 34.87/35.06 (step @p223 :rule cnf_or_pos :args (@t265)) % 34.87/35.06 (step @p224 :rule reordering :premises (@p223) :args ((or @t247 @t264 (not @t265)))) % 34.87/35.06 (step @p225 :rule chain_m_resolution :premises (@p224 @p222 @p215) :args (@t264 @t266 (@list @t246 @t265))) % 34.87/35.06 (step @p226 :rule cnf_and_pos :args (@t264 1)) % 34.87/35.06 (step @p227 :rule reordering :premises (@p226) :args ((or @t262 @t267))) % 34.87/35.06 (step @p228 :rule chain_m_resolution :premises (@p227 @p225) :args (@t262 @t268 @t269)) % 34.87/35.06 (step @p229 :rule aci_norm :args ((= (or @t193 @t270) (or @t193 @t20 @t194 @t43)))) % 34.87/35.06 (step @p230 :rule aci_norm :args ((= (or (or @t20 @t194) @t43) @t270))) % 34.87/35.06 (step @p231 :rule refl :args (@t43)) % 34.87/35.06 (step @p232 :rule nary_cong :premises (@p122 @p111) :args ((or @t215 @t194))) % 34.87/35.06 (step @p233 :rule bool-and-de-morgan :args (@t21 @t19 true)) % 34.87/35.06 (step @p234 :rule trans :premises (@p233 @p232)) % 34.87/35.06 (step @p235 :rule nary_cong :premises (@p234 @p231) :args ((or (not @t44) @t43))) % 34.87/35.06 (step @p236 :rule trans :premises (@p235 @p230)) % 34.87/35.06 (step @p237 :rule bool-impl-elim :args (@t44 @t43)) % 34.87/35.06 (step @p238 :rule trans :premises (@p237 @p236)) % 34.87/35.06 (step @p239 :rule nary_cong :premises (@p110 @p238) :args ((or @t193 @t45))) % 34.87/35.06 (step @p240 :rule trans :premises (@p239 @p229)) % 34.87/35.06 (step @p241 :rule bool-impl-elim :args (@t18 @t45)) % 34.87/35.06 (step @p242 :rule trans :premises (@p241 @p240)) % 34.87/35.06 (step @p243 :rule cong :premises (@p242) :args (@t46)) % 34.87/35.06 (step @p244 :rule eq_resolve :premises (@p5 @p243)) % 34.87/35.06 (step @p245 :rule instantiate :premises (@p244) :args (@t261)) % 34.87/35.06 (step @p246 :rule bool-double-not-elim :args (@t248)) % 34.87/35.06 (step @p247 :rule nary_cong :premises (@p217 @p246) :args ((or @t251 (not @t249)))) % 34.87/35.06 (step @p248 :rule cnf_or_neg :args (@t251 1)) % 34.87/35.06 (step @p249 :rule eq_resolve :premises (@p248 @p247)) % 34.87/35.06 (step @p250 :rule reordering :premises (@p249) :args ((or @t248 @t251))) % 34.87/35.06 (step @p251 :rule chain_m_resolution :premises (@p250 @p183) :args (@t248 @t253 @t254)) % 34.87/35.06 (step @p252 :rule cnf_or_neg :args (@t251 0)) % 34.87/35.06 (step @p253 :rule chain_m_resolution :premises (@p252 @p183) :args (@t271 @t253 @t254)) % 34.87/35.06 (step @p254 :rule cnf_or_pos :args (@t274)) % 34.87/35.06 (step @p255 :rule reordering :premises (@p254) :args ((or @t250 @t249 @t247 @t273 (not @t274)))) % 34.87/35.06 (step @p256 :rule chain_m_resolution :premises (@p255 @p253 @p251 @p222 @p245) :args (@t273 @t275 (@list @t250 @t248 @t246 @t274))) % 34.87/35.06 (step @p257 :rule cnf_and_pos :args (@t273 1)) % 34.87/35.06 (step @p258 :rule reordering :premises (@p257) :args ((or @t272 (not @t273)))) % 34.87/35.06 (step @p259 :rule chain_m_resolution :premises (@p258 @p256) :args (@t272 @t268 (@list @t273))) % 34.87/35.06 (step @p260 :rule bool-double-not-elim :args (@t239)) % 34.87/35.06 (step @p261 :rule nary_cong :premises (@p217 @p260) :args ((or @t251 (not @t240)))) % 34.87/35.06 (step @p262 :rule cnf_or_neg :args (@t251 5)) % 34.87/35.06 (step @p263 :rule eq_resolve :premises (@p262 @p261)) % 34.87/35.06 (step @p264 :rule reordering :premises (@p263) :args ((or @t239 @t251))) % 34.87/35.06 (step @p265 :rule chain_m_resolution :premises (@p264 @p183) :args (@t239 @t253 @t254)) % 34.87/35.06 (step @p266 :rule bool-double-not-elim :args (@t244)) % 34.87/35.06 (step @p267 :rule nary_cong :premises (@p217 @p266) :args ((or @t251 (not @t245)))) % 34.87/35.06 (step @p268 :rule cnf_or_neg :args (@t251 3)) % 34.87/35.06 (step @p269 :rule eq_resolve :premises (@p268 @p267)) % 34.87/35.06 (step @p270 :rule reordering :premises (@p269) :args ((or @t244 @t251))) % 34.87/35.06 (step @p271 :rule chain_m_resolution :premises (@p270 @p183) :args (@t244 @t253 @t254)) % 34.87/35.06 (step @p272 :rule cnf_or_pos :args (@t280)) % 34.87/35.06 (step @p273 :rule reordering :premises (@p272) :args ((or @t250 @t245 @t240 @t279 @t278 @t277 (not @t280)))) % 34.87/35.06 (step @p274 :rule chain_m_resolution :premises (@p273 @p253 @p271 @p265 @p259 @p228 @p211) :args (@t277 @t281 (@list @t250 @t244 @t239 @t272 @t262 @t280))) % 34.87/35.06 (step @p275 :rule aci_norm :args ((= @t288 (or @t20 @t255 @t286 @t285 @t284)))) % 34.87/35.06 (step @p276 :rule cong :premises (@p275) :args (@t289)) % 34.87/35.06 (step @p277 :rule quant-merge-prenex :args ((= (forall @t24 @t291) @t289))) % 34.87/35.06 (step @p278 :rule alpha_equiv :args (@t292 (@list @t283 @t282) (@list @t3 @t293))) % 34.87/35.06 (step @p279 :rule nary_cong :premises (@p112 @p189 @p278) :args (@t294)) % 34.87/35.06 (step @p280 :rule quant-miniscope-or :args ((= @t291 @t294))) % 34.87/35.06 (step @p281 :rule trans :premises (@p280 @p279)) % 34.87/35.06 (step @p282 :rule symm :premises (@p281)) % 34.87/35.06 (step @p283 :rule cong :premises (@p282) :args ((forall @t24 @t300))) % 34.87/35.06 (step @p284 :rule trans :premises (@p283 @p277)) % 34.87/35.06 (step @p285 :rule trans :premises (@p284 @p276)) % 34.87/35.06 (step @p286 :rule aci_norm :args ((= (or (or @t20 @t255) @t299) @t300))) % 34.87/35.06 (step @p287 :rule refl :args (@t299)) % 34.87/35.06 (step @p288 :rule nary_cong :premises (@p122 @p189) :args ((or @t215 @t255))) % 34.87/35.06 (step @p289 :rule bool-and-de-morgan :args (@t21 @t57 true)) % 34.87/35.06 (step @p290 :rule trans :premises (@p289 @p288)) % 34.87/35.06 (step @p291 :rule nary_cong :premises (@p290 @p287) :args ((or (not @t68) @t299))) % 34.87/35.06 (step @p292 :rule trans :premises (@p291 @p286)) % 34.87/35.06 (step @p293 :rule bool-impl-elim :args (@t68 @t299)) % 34.87/35.06 (step @p294 :rule trans :premises (@p293 @p292)) % 34.87/35.06 (step @p295 :rule cong :premises (@p294) :args ((forall @t24 (=> @t68 @t299)))) % 34.87/35.06 (step @p296 :rule trans :premises (@p295 @p285)) % 34.87/35.06 (step @p297 :rule aci_norm :args ((= @t302 @t297))) % 34.87/35.06 (step @p298 :rule cong :premises (@p297) :args (@t303)) % 34.87/35.06 (step @p299 :rule quant-merge-prenex :args ((= (forall @t16 @t305) @t303))) % 34.87/35.06 (step @p300 :rule alpha_equiv :args (@t306 (@list @t293) @t224)) % 34.87/35.06 (step @p301 :rule nary_cong :premises (@p143 @p300) :args (@t307)) % 34.87/35.06 (step @p302 :rule quant-miniscope-or :args ((= @t305 @t307))) % 34.87/35.06 (step @p303 :rule trans :premises (@p302 @p301)) % 34.87/35.06 (step @p304 :rule symm :premises (@p303)) % 34.87/35.06 (step @p305 :rule cong :premises (@p304) :args ((forall @t16 (or @t209 @t308)))) % 34.87/35.06 (step @p306 :rule trans :premises (@p305 @p299)) % 34.87/35.06 (step @p307 :rule trans :premises (@p306 @p298)) % 34.87/35.06 (step @p308 :rule bool-impl-elim :args (@t14 @t308)) % 34.87/35.06 (step @p309 :rule cong :premises (@p308) :args ((forall @t16 (=> @t14 @t308)))) % 34.87/35.06 (step @p310 :rule trans :premises (@p309 @p307)) % 34.87/35.06 (step @p311 :rule bool-impl-elim :args (@t7 @t64)) % 34.87/35.06 (step @p312 :rule cong :premises 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34.87/35.06 (step @p709 :rule eq_resolve :premises (@p18 @p708)) % 34.87/35.06 (step @p710 :rule instantiate :premises (@p709) :args (@t502)) % 34.87/35.06 (step @p711 :rule cnf_or_pos :args (@t505)) % 34.87/35.06 (step @p712 :rule reordering :premises (@p711) :args ((or @t250 @t249 @t247 @t245 @t504 (not @t505)))) % 34.87/35.06 (step @p713 :rule chain_m_resolution :premises (@p712 @p253 @p251 @p222 @p271 @p710) :args (@t504 @t312 (@list @t250 @t248 @t246 @t244 @t505))) % 34.87/35.06 (step @p714 :rule symm :premises (@p713)) % 34.87/35.06 (step @p715 :rule refl :args (@t335)) % 34.87/35.06 (step @p716 :rule cong :premises (@p715 @p714) :args (@t506)) % 34.87/35.06 (step @p717 :rule aci_norm :args ((= (or @t509 @t507) @t508))) % 34.87/35.06 (step @p718 :rule refl :args (@t507)) % 34.87/35.06 (step @p719 :rule nary_cong :premises (@p122 @p111 @p110 @p143) :args (@t510)) % 34.87/35.06 (step @p720 :rule aci_norm :args ((= (or @t215 (or @t194 (or @t193 @t209))) @t510))) % 34.87/35.06 (step @p721 :rule trans :premises (@p720 @p719)) % 34.87/35.06 (step @p722 :rule bool-and-de-morgan :args (@t18 @t14 true)) % 34.87/35.06 (step @p723 :rule nary_cong :premises (@p111 @p722) :args ((or @t194 (not (and @t18 @t14))))) % 34.87/35.06 (step @p724 :rule bool-and-de-morgan :args (@t19 @t18 (and @t14))) % 34.87/35.06 (step @p725 :rule trans :premises (@p724 @p723)) % 34.87/35.06 (step @p726 :rule nary_cong :premises (@p127 @p725) :args ((or @t215 (not (and @t19 @t18 @t14))))) % 34.87/35.06 (step @p727 :rule bool-and-de-morgan :args (@t21 @t19 (and @t18 @t14))) % 34.87/35.06 (step @p728 :rule trans :premises (@p727 @p726)) % 34.87/35.06 (step @p729 :rule trans :premises (@p728 @p721)) % 34.87/35.06 (step @p730 :rule nary_cong :premises (@p729 @p718) :args ((or @t511 @t507))) % 34.87/35.06 (step @p731 :rule trans :premises (@p730 @p717)) % 34.87/35.06 (step @p732 :rule bool-impl-elim :args (@t101 @t507)) % 34.87/35.06 (step @p733 :rule trans :premises (@p732 @p731)) % 34.87/35.06 (step @p734 :rule cong :premises (@p733) :args ((forall @t34 (=> @t101 @t507)))) % 34.87/35.06 (step @p735 :rule eq-symm :args (@t113 @t82)) % 34.87/35.06 (step @p736 :rule refl :args (@t101)) % 34.87/35.06 (step @p737 :rule cong :premises (@p736 @p735) :args (@t161)) % 34.87/35.06 (step @p738 :rule cong :premises (@p737) :args (@t162)) % 34.87/35.06 (step @p739 :rule trans :premises (@p738 @p734)) % 34.87/35.06 (step @p740 :rule eq_resolve :premises (@p87 @p739)) % 34.87/35.06 (step @p741 :rule eq-symm :args (@t506 @t512)) % 34.87/35.06 (step @p742 :rule refl :args (@t514)) % 34.87/35.06 (step @p743 :rule refl :args (@t354)) % 34.87/35.06 (step @p744 :rule refl :args (@t515)) % 34.87/35.06 (step @p745 :rule nary_cong :premises (@p592 @p744 @p743 @p742 @p741) :args (@t516)) % 34.87/35.06 (step @p746 :rule refl :args (@t517)) % 34.87/35.06 (step @p747 :rule cong :premises (@p746 @p745) :args ((=> @t517 @t516))) % 34.87/35.06 (assume-push @p862 @t517) % 34.87/35.06 (step @p749 :rule instantiate :premises (@p740) :args ((@list @t335 @t503))) % 34.87/35.06 (step-pop @p863 :rule scope :premises (@p749)) % 34.87/35.06 (step @p750 :rule process_scope :premises (@p863) :args (@t516)) % 34.87/35.06 (step @p752 :rule eq_resolve :premises (@p750 @p747)) % 34.87/35.06 (step @p753 :rule implies_elim :premises (@p752)) % 34.87/35.06 (step @p754 :rule chain_m_resolution :premises (@p753 @p740) :args (@t519 @t268 (@list @t517))) % 34.87/35.06 (step @p755 :rule aci_norm :args ((= (or @t509 @t114) (or @t20 @t194 @t193 @t209 @t114)))) % 34.87/35.06 (step @p756 :rule refl :args (@t114)) % 34.87/35.06 (step @p757 :rule nary_cong :premises (@p729 @p756) :args ((or @t511 @t114))) % 34.87/35.06 (step @p758 :rule trans :premises (@p757 @p755)) % 34.87/35.06 (step @p759 :rule bool-impl-elim :args (@t101 @t114)) % 34.87/35.06 (step @p760 :rule trans :premises (@p759 @p758)) % 34.87/35.06 (step @p761 :rule cong :premises (@p760) :args (@t115)) % 34.87/35.06 (step @p762 :rule eq_resolve :premises (@p32 @p761)) % 34.87/35.06 (step @p763 :rule instantiate :premises (@p762) :args (@t502)) % 34.87/35.06 (step @p764 :rule cnf_or_pos :args (@t520)) % 34.87/35.06 (step @p765 :rule reordering :premises (@p764) :args ((or @t250 @t249 @t247 @t245 @t513 (not @t520)))) % 34.87/35.06 (step @p766 :rule chain_m_resolution :premises (@p765 @p253 @p251 @p222 @p271 @p763) :args (@t513 @t312 (@list @t250 @t248 @t246 @t244 @t520))) % 34.87/35.06 (step @p767 :rule cnf_and_pos :args (@t450 8)) % 34.87/35.06 (step @p768 :rule reordering :premises (@p767) :args ((or @t449 @t452))) % 34.87/35.06 (step @p769 :rule chain_m_resolution :premises (@p768 @p614) :args (@t449 @t268 @t453)) % 34.87/35.06 (step @p770 :rule cnf_or_pos :args (@t519)) % 34.87/35.06 (step @p771 :rule reordering :premises (@p770) :args ((or @t345 @t515 @t354 @t514 @t518 (not @t519)))) % 34.87/35.06 (step @p772 :rule chain_m_resolution :premises (@p771 @p561 @p769 @p391 @p766 @p754) :args (@t518 @t312 (@list @t345 @t449 @t341 @t513 @t519))) % 34.87/35.06 (step @p773 :rule aci_norm :args ((= @t526 (or @t20 @t194 @t193 @t524 @t523)))) % 34.87/35.06 (step @p774 :rule cong :premises (@p773) :args (@t527)) % 34.87/35.06 (step @p775 :rule quant-merge-prenex :args ((= (forall @t24 @t529) @t527))) % 34.87/35.06 (step @p776 :rule alpha_equiv :args (@t530 (@list @t521) @t497)) % 34.87/35.06 (step @p777 :rule nary_cong :premises (@p112 @p111 @p110 @p776) :args (@t531)) % 34.87/35.06 (step @p778 :rule quant-miniscope-or :args ((= @t529 @t531))) % 34.87/35.06 (step @p779 :rule trans :premises (@p778 @p777)) % 34.87/35.06 (step @p780 :rule symm :premises (@p779)) % 34.87/35.06 (step @p781 :rule cong :premises (@p780) :args ((forall @t24 @t534))) % 34.87/35.06 (step @p782 :rule trans :premises (@p781 @p775)) % 34.87/35.06 (step @p783 :rule trans :premises (@p782 @p774)) % 34.87/35.06 (step @p784 :rule aci_norm :args ((= (or @t214 @t533) @t534))) % 34.87/35.06 (step @p785 :rule refl :args (@t533)) % 34.87/35.06 (step @p786 :rule nary_cong :premises (@p131 @p785) :args ((or @t217 @t533))) % 34.87/35.06 (step @p787 :rule trans :premises (@p786 @p784)) % 34.87/35.06 (step @p788 :rule bool-impl-elim :args (@t22 @t533)) % 34.87/35.06 (step @p789 :rule trans :premises (@p788 @p787)) % 34.87/35.06 (step @p790 :rule cong :premises (@p789) :args ((forall @t24 (=> @t22 @t533)))) % 34.87/35.06 (step @p791 :rule trans :premises (@p790 @p783)) % 34.87/35.06 (step @p792 :rule bool-impl-elim :args (@t14 @t532)) % 34.87/35.06 (step @p793 :rule cong :premises (@p792) :args ((forall @t16 (=> @t14 @t532)))) % 34.87/35.06 (step @p794 :rule eq-symm :args (@t179 @t113)) % 34.87/35.06 (step @p795 :rule refl :args (@t180)) % 34.87/35.06 (step @p796 :rule nary_cong :premises (@p795 @p794) :args (@t181)) % 34.87/35.06 (step @p797 :rule cong :premises (@p173 @p796) :args (@t182)) % 34.87/35.06 (step @p798 :rule cong :premises (@p797) :args (@t183)) % 34.87/35.06 (step @p799 :rule trans :premises (@p798 @p793)) % 34.87/35.06 (step @p800 :rule cong :premises (@p177 @p799) :args (@t184)) % 34.87/35.06 (step @p801 :rule cong :premises (@p800) :args (@t185)) % 34.87/35.06 (step @p802 :rule trans :premises (@p801 @p791)) % 34.87/35.06 (step @p803 :rule eq_resolve :premises (@p99 @p802)) % 34.87/35.06 (step @p804 :rule instantiate :premises (@p803) :args (@t502)) % 34.87/35.06 (step @p805 :rule cnf_or_pos :args (@t537)) % 34.87/35.06 (step @p806 :rule reordering :premises (@p805) :args ((or @t250 @t249 @t247 @t245 @t536 (not @t537)))) % 34.87/35.06 (step @p807 :rule chain_m_resolution :premises (@p806 @p253 @p251 @p222 @p271 @p804) :args (@t536 @t312 (@list @t250 @t248 @t246 @t244 @t537))) % 34.87/35.06 (step @p808 :rule cnf_and_pos :args (@t536 0)) % 34.87/35.06 (step @p809 :rule reordering :premises (@p808) :args ((or @t535 (not @t536)))) % 34.87/35.06 (step @p810 :rule chain_m_resolution :premises (@p809 @p807) :args (@t535 @t268 (@list @t536))) % 34.87/35.06 (step @p811 :rule bool-double-not-elim :args (@t242)) % 34.87/35.06 (step @p812 :rule nary_cong :premises (@p217 @p811) :args ((or @t251 (not @t243)))) % 34.87/35.06 (step @p813 :rule cnf_or_neg :args (@t251 4)) % 34.87/35.06 (step @p814 :rule eq_resolve :premises (@p813 @p812)) % 34.87/35.06 (step @p815 :rule reordering :premises (@p814) :args ((or @t242 @t251))) % 34.87/35.06 (step @p816 :rule chain_m_resolution :premises (@p815 @p183) :args (@t242 @t253 @t254)) % 34.87/35.06 (step @p817 :rule trans :premises (@p523 @p816 @p810 @p772 @p716)) % 34.87/35.06 (step @p818 :rule cnf_or_pos :args (@t541)) % 34.87/35.06 (step @p819 :rule reordering :premises (@p818) :args ((or @t345 @t515 @t354 @t436 @t435 @t540 @t538 (not @t541)))) % 34.87/35.06 (step @p820 :rule chain_m_resolution :premises (@p819 @p561 @p769 @p391 @p532 @p527 @p817 @p680) :args (@t538 (@list true false false false false false false) (@list @t345 @t449 @t341 @t423 @t422 @t539 @t541))) % 34.87/35.06 (step @p821 :rule refl :args (@t542)) % 34.87/35.06 (step @p822 :rule refl :args (@t543)) % 34.87/35.06 (step @p823 :rule refl :args (@t544)) % 34.87/35.06 (step @p824 :rule refl :args (@t545)) % 34.87/35.06 (step @p825 :rule refl :args (@t546)) % 34.87/35.06 (step @p826 :rule refl :args (@t547)) % 34.87/35.06 (step @p827 :rule refl :args (@t548)) % 34.87/35.06 (step @p828 :rule bool-double-not-elim :args (@t237)) % 34.87/35.06 (step @p829 :rule nary_cong :premises (@p828 @p827 @p826 @p825 @p824 @p823 @p822 @p821) :args ((or (not @t252) @t548 @t547 @t546 @t545 @t544 @t543 @t542))) % 34.87/35.06 (assume-push @p864 @t252) % 34.87/35.06 (assume-push @p865 @t277) % 34.87/35.06 (assume-push @p866 @t310) % 34.87/35.06 (assume-push @p867 @t380) % 34.87/35.06 (assume-push @p868 @t379) % 34.87/35.06 (assume-push @p869 @t434) % 34.87/35.06 (assume-push @p870 @t447) % 34.87/35.06 (step @p837 :rule false_intro :premises (@p185)) % 34.87/35.06 (step @p838 :rule symm :premises (@p274)) % 34.87/35.06 (step @p839 :rule symm :premises (@p324)) % 34.87/35.06 (step @p840 :rule symm :premises (@p473)) % 34.87/35.06 (step @p841 :rule cong :premises (@p523 @p523 @p523 @p840 @p529 @p524) :args (@t432)) % 34.87/35.06 (step @p842 :rule symm :premises (@p620)) % 34.87/35.06 (step @p843 :rule trans :premises (@p842 @p564 @p841 @p839 @p838)) % 34.87/35.06 (step @p844 :rule cong :premises (@p529 @p843) :args (@t538)) % 34.87/35.06 (step @p845 :rule trans :premises (@p844 @p837)) % 34.87/35.06 (step @p846 :rule false_elim :premises (@p845)) % 34.87/35.06 (step-pop @p871 :rule scope :premises (@p846)) % 34.87/35.06 (step-pop @p872 :rule scope :premises (@p871)) % 34.87/35.06 (step-pop @p873 :rule scope :premises (@p872)) % 34.87/35.06 (step-pop @p874 :rule scope :premises (@p873)) % 34.87/35.06 (step-pop @p875 :rule scope :premises (@p874)) % 34.87/35.06 (step-pop @p876 :rule scope :premises (@p875)) % 34.87/35.06 (step-pop @p877 :rule scope :premises (@p876)) % 34.87/35.06 (step @p847 :rule process_scope :premises (@p877) :args (@t542)) % 34.87/35.06 (step @p855 :rule implies_elim :premises (@p847)) % 34.87/35.06 (step @p856 :rule cnf_and_neg :args (@t549)) % 34.87/35.06 (step @p857 :rule resolution :premises (@p856 @p855) :args (true @t549)) % 34.87/35.06 (step @p858 :rule eq_resolve :premises (@p857 @p829)) % 34.87/35.06 (step @p859 false :rule chain_m_resolution :premises (@p858 @p820 @p620 @p564 @p473 @p470 @p324 @p274 @p185) :args (false (@list false false false false false false false true) (@list @t538 @t447 @t434 @t379 @t380 @t310 @t277 @t237))) % 34.87/35.06 ) % 34.87/35.06 % SZS output end Proof % 34.87/35.06 % cvc5 exiting %------------------------------------------------------------------------------