%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP648+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 : n008.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 08:21:10 AM UTC 2026 % Result : Theorem 33.98s 34.35s % Output : Proof 33.98s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP648+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 : n008.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 01:37:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 33.98/34.35 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.98/34.35 --- Run --no-e-matching --full-saturate-quant at 6... % 33.98/34.35 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.98/34.35 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.98/34.35 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.98/34.35 % SZS status Theorem % 33.98/34.35 % SZS output start Proof % 33.98/34.35 ( % 33.98/34.35 (declare-sort $$unsorted 0) % 33.98/34.35 (declare-const tptp.k1_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.98/34.35 (declare-const tptp.k1_xboole_0 $$unsorted) % 33.98/34.35 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.v13_lattices (-> $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.v14_lattices (-> $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.v15_lattices (-> $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.k8_group_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.98/34.35 (declare-const tptp.k2_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.98/34.35 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.r1_group_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.k10_group_4 (-> $$unsorted $$unsorted)) % 33.98/34.35 (declare-const tptp.k2_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.98/34.35 (declare-const tptp.k1_group_3 (-> $$unsorted $$unsorted)) % 33.98/34.35 (declare-const tptp.k9_group_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.98/34.35 (declare-const tptp.k9_group_4 (-> $$unsorted $$unsorted)) % 33.98/34.35 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.u1_group_1 (-> $$unsorted $$unsorted)) % 33.98/34.35 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.v3_group_1 (-> $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 33.98/34.35 (declare-const tptp.v1_group_1 (-> $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.r1_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 33.98/34.35 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 33.98/34.35 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 33.98/34.35 (declare-const tptp.r3_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.k11_group_4 (-> $$unsorted $$unsorted)) % 33.98/34.35 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.g1_group_1 (-> $$unsorted $$unsorted $$unsorted)) % 33.98/34.35 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 33.98/34.35 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.98/34.35 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.m1_group_2 (-> $$unsorted $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.k4_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 33.98/34.35 (declare-const tptp.m1_group_6 (-> $$unsorted $$unsorted $$unsorted Bool)) % 33.98/34.35 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 33.98/34.35 (define @t1 () (@var "C" $$unsorted)) % 33.98/34.35 (define @t2 () (@var "A" $$unsorted)) % 33.98/34.35 (define @t3 () (@var "B" $$unsorted)) % 33.98/34.35 (define @t4 () (tptp.m1_group_6 @t3 @t2 @t1)) % 33.98/34.35 (define @t5 () (@var "E" $$unsorted)) % 33.98/34.35 (define @t6 () (@var "D" $$unsorted)) % 33.98/34.35 (define @t7 () (tptp.k11_group_4 @t2)) % 33.98/34.35 (define @t8 () (tptp.r3_lattices @t7 @t6 @t5)) % 33.98/34.35 (define @t9 () (= @t8 @t4)) % 33.98/34.35 (define @t10 () (= @t5 @t1)) % 33.98/34.35 (define @t11 () (= @t6 @t3)) % 33.98/34.35 (define @t12 () (and @t11 @t10)) % 33.98/34.35 (define @t13 () (=> @t12 @t9)) % 33.98/34.35 (define @t14 () (tptp.u1_struct_0 @t7)) % 33.98/34.35 (define @t15 () (tptp.m1_subset_1 @t5 @t14)) % 33.98/34.35 (define @t16 () (=> @t15 @t13)) % 33.98/34.35 (define @t17 () (@list @t5)) % 33.98/34.35 (define @t18 () (forall @t17 @t16)) % 33.98/34.35 (define @t19 () (tptp.m1_subset_1 @t6 @t14)) % 33.98/34.35 (define @t20 () (=> @t19 @t18)) % 33.98/34.35 (define @t21 () (@list @t6)) % 33.98/34.35 (define @t22 () (forall @t21 @t20)) % 33.98/34.35 (define @t23 () (tptp.m1_group_2 @t1 @t2)) % 33.98/34.35 (define @t24 () (=> @t23 @t22)) % 33.98/34.35 (define @t25 () (@list @t1)) % 33.98/34.35 (define @t26 () (forall @t25 @t24)) % 33.98/34.35 (define @t27 () (tptp.m1_group_2 @t3 @t2)) % 33.98/34.35 (define @t28 () (=> @t27 @t26)) % 33.98/34.35 (define @t29 () (@list @t3)) % 33.98/34.35 (define @t30 () (forall @t29 @t28)) % 33.98/34.35 (define @t31 () (tptp.l1_group_1 @t2)) % 33.98/34.35 (define @t32 () (tptp.v4_group_1 @t2)) % 33.98/34.35 (define @t33 () (tptp.v3_group_1 @t2)) % 33.98/34.35 (define @t34 () (tptp.v3_struct_0 @t2)) % 33.98/34.35 (define @t35 () (not @t34)) % 33.98/34.35 (define @t36 () (and @t35 @t33 @t32 @t31)) % 33.98/34.35 (define @t37 () (=> @t36 @t30)) % 33.98/34.35 (define @t38 () (@list @t2)) % 33.98/34.35 (define @t39 () (forall @t38 @t37)) % 33.98/34.35 (define @t40 () (not @t39)) % 33.98/34.35 (define @t41 () (tptp.u1_group_1 @t2)) % 33.98/34.35 (define @t42 () (tptp.u1_struct_0 @t2)) % 33.98/34.35 (define @t43 () (tptp.u1_lattices @t2)) % 33.98/34.35 (define @t44 () (tptp.u2_lattices @t2)) % 33.98/34.35 (define @t45 () (= @t2 (tptp.g3_lattices @t42 @t44 @t43))) % 33.98/34.35 (define @t46 () (tptp.v3_lattices @t2)) % 33.98/34.35 (define @t47 () (=> @t46 @t45)) % 33.98/34.35 (define @t48 () (tptp.l3_lattices @t2)) % 33.98/34.35 (define @t49 () (forall @t38 (=> @t48 @t47))) % 33.98/34.35 (define @t50 () (tptp.r2_hidden @t2 @t3)) % 33.98/34.35 (define @t51 () (@list @t2 @t3)) % 33.98/34.35 (define @t52 () (tptp.v1_funct_2 @t1 @t2 @t3)) % 33.98/34.35 (define @t53 () (tptp.v1_funct_1 @t1)) % 33.98/34.35 (define @t54 () (and @t53 @t52)) % 33.98/34.35 (define @t55 () (tptp.v1_partfun1 @t1 @t2 @t3)) % 33.98/34.35 (define @t56 () (tptp.m1_relset_1 @t1 @t2 @t3)) % 33.98/34.35 (define @t57 () (@list @t2 @t3 @t1)) % 33.98/34.35 (define @t58 () (tptp.v1_relat_1 @t1)) % 33.98/34.35 (define @t59 () (tptp.k2_zfmisc_1 @t2 @t3)) % 33.98/34.35 (define @t60 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t59))) % 33.98/34.35 (define @t61 () (tptp.v1_xboole_0 @t3)) % 33.98/34.35 (define @t62 () (not @t61)) % 33.98/34.35 (define @t63 () (tptp.v1_xboole_0 @t1)) % 33.98/34.35 (define @t64 () (tptp.v1_xboole_0 @t2)) % 33.98/34.35 (define @t65 () (not @t64)) % 33.98/34.35 (define @t66 () (and @t65 @t62)) % 33.98/34.35 (define @t67 () (tptp.k4_lattices @t2 @t3 @t1)) % 33.98/34.35 (define @t68 () (tptp.m1_subset_1 @t1 @t42)) % 33.98/34.35 (define @t69 () (tptp.m1_subset_1 @t3 @t42)) % 33.98/34.35 (define @t70 () (tptp.l1_lattices @t2)) % 33.98/34.35 (define @t71 () (tptp.v6_lattices @t2)) % 33.98/34.35 (define @t72 () (and @t35 @t71 @t70 @t69 @t68)) % 33.98/34.35 (define @t73 () (tptp.k9_group_2 @t2 @t1 @t3)) % 33.98/34.35 (define @t74 () (tptp.k9_group_2 @t2 @t3 @t1)) % 33.98/34.35 (define @t75 () (= @t74 @t73)) % 33.98/34.35 (define @t76 () (and @t35 @t33 @t32 @t31 @t27 @t23)) % 33.98/34.35 (define @t77 () (forall @t57 (=> @t76 @t75))) % 33.98/34.35 (define @t78 () (@var "F" $$unsorted)) % 33.98/34.35 (define @t79 () (tptp.k1_group_3 @t2)) % 33.98/34.35 (define @t80 () (tptp.k2_binop_1 @t79 @t79 @t79 @t3 @t1 @t6)) % 33.98/34.35 (define @t81 () (= @t80 (tptp.k9_group_2 @t2 @t5 @t78))) % 33.98/34.35 (define @t82 () (= @t6 @t78)) % 33.98/34.35 (define @t83 () (= @t1 @t5)) % 33.98/34.35 (define @t84 () (and @t83 @t82)) % 33.98/34.35 (define @t85 () (=> @t84 @t81)) % 33.98/34.35 (define @t86 () (tptp.m1_group_2 @t78 @t2)) % 33.98/34.35 (define @t87 () (@list @t78)) % 33.98/34.35 (define @t88 () (forall @t87 (=> @t86 @t85))) % 33.98/34.35 (define @t89 () (tptp.m1_group_2 @t5 @t2)) % 33.98/34.35 (define @t90 () (=> @t89 @t88)) % 33.98/34.35 (define @t91 () (forall @t17 @t90)) % 33.98/34.35 (define @t92 () (tptp.m1_subset_1 @t6 @t79)) % 33.98/34.35 (define @t93 () (=> @t92 @t91)) % 33.98/34.35 (define @t94 () (forall @t21 @t93)) % 33.98/34.35 (define @t95 () (tptp.m1_subset_1 @t1 @t79)) % 33.98/34.35 (define @t96 () (=> @t95 @t94)) % 33.98/34.35 (define @t97 () (forall @t25 @t96)) % 33.98/34.35 (define @t98 () (tptp.k10_group_4 @t2)) % 33.98/34.35 (define @t99 () (= @t3 @t98)) % 33.98/34.35 (define @t100 () (= @t99 @t97)) % 33.98/34.35 (define @t101 () (tptp.k2_zfmisc_1 @t79 @t79)) % 33.98/34.35 (define @t102 () (tptp.m2_relset_1 @t3 @t101 @t79)) % 33.98/34.35 (define @t103 () (tptp.v1_funct_2 @t3 @t101 @t79)) % 33.98/34.35 (define @t104 () (tptp.v1_funct_1 @t3)) % 33.98/34.35 (define @t105 () (and @t104 @t103 @t102)) % 33.98/34.35 (define @t106 () (=> @t105 @t100)) % 33.98/34.35 (define @t107 () (forall @t29 @t106)) % 33.98/34.35 (define @t108 () (=> @t36 @t107)) % 33.98/34.35 (define @t109 () (forall @t38 @t108)) % 33.98/34.35 (define @t110 () (tptp.k9_group_4 @t2)) % 33.98/34.35 (define @t111 () (= @t7 (tptp.g3_lattices @t79 @t110 @t98))) % 33.98/34.35 (define @t112 () (forall @t38 (=> @t36 @t111))) % 33.98/34.35 (define @t113 () (tptp.k2_lattices @t2 @t3 @t1)) % 33.98/34.35 (define @t114 () (= @t113 (tptp.k2_binop_1 @t42 @t42 @t42 @t43 @t3 @t1))) % 33.98/34.35 (define @t115 () (forall @t25 (=> @t68 @t114))) % 33.98/34.35 (define @t116 () (=> @t69 @t115)) % 33.98/34.35 (define @t117 () (forall @t29 @t116)) % 33.98/34.35 (define @t118 () (and @t35 @t70)) % 33.98/34.35 (define @t119 () (=> @t118 @t117)) % 33.98/34.35 (define @t120 () (forall @t38 @t119)) % 33.98/34.35 (define @t121 () (tptp.g1_group_1 @t2 @t3)) % 33.98/34.35 (define @t122 () (tptp.k2_zfmisc_1 @t2 @t2)) % 33.98/34.35 (define @t123 () (tptp.m1_relset_1 @t3 @t122 @t2)) % 33.98/34.35 (define @t124 () (tptp.v1_funct_2 @t3 @t122 @t2)) % 33.98/34.35 (define @t125 () (and @t104 @t124 @t123)) % 33.98/34.35 (define @t126 () (tptp.g3_lattices @t2 @t3 @t1)) % 33.98/34.35 (define @t127 () (tptp.m1_relset_1 @t1 @t122 @t2)) % 33.98/34.35 (define @t128 () (tptp.v1_funct_2 @t1 @t122 @t2)) % 33.98/34.35 (define @t129 () (and @t104 @t124 @t123 @t53 @t128 @t127)) % 33.98/34.35 (define @t130 () (and (tptp.v1_funct_1 @t98) (tptp.v1_funct_2 @t98 @t101 @t79) (tptp.m2_relset_1 @t98 @t101 @t79))) % 33.98/34.35 (define @t131 () (forall @t38 (=> @t36 @t130))) % 33.98/34.35 (define @t132 () (tptp.v10_lattices @t7)) % 33.98/34.35 (define @t133 () (tptp.v3_lattices @t7)) % 33.98/34.35 (define @t134 () (not (tptp.v3_struct_0 @t7))) % 33.98/34.35 (define @t135 () (and @t134 @t133 @t132 (tptp.l3_lattices @t7))) % 33.98/34.35 (define @t136 () (forall @t38 (=> @t36 @t135))) % 33.98/34.35 (define @t137 () (tptp.k2_binop_1 @t2 @t3 @t1 @t6 @t5 @t78)) % 33.98/34.35 (define @t138 () (and @t65 @t62 (tptp.v1_funct_1 @t6) (tptp.v1_funct_2 @t6 @t59 @t1) (tptp.m1_relset_1 @t6 @t59 @t1) (tptp.m1_subset_1 @t5 @t2) (tptp.m1_subset_1 @t78 @t3))) % 33.98/34.35 (define @t139 () (@list @t2 @t3 @t1 @t6 @t5 @t78)) % 33.98/34.35 (define @t140 () (tptp.k8_group_2 @t2 @t3 @t1)) % 33.98/34.35 (define @t141 () (and (tptp.v1_group_1 @t74) (tptp.m1_group_2 @t74 @t2))) % 33.98/34.35 (define @t142 () (forall @t57 (=> @t76 @t141))) % 33.98/34.35 (define @t143 () (tptp.l1_struct_0 @t2)) % 33.98/34.35 (define @t144 () (tptp.l2_lattices @t2)) % 33.98/34.35 (define @t145 () (and @t70 @t144)) % 33.98/34.35 (define @t146 () (forall @t38 (=> @t48 @t145))) % 33.98/34.35 (define @t147 () (and @t35 @t33 @t31)) % 33.98/34.35 (define @t148 () (tptp.m1_group_6 @t1 @t2 @t3)) % 33.98/34.35 (define @t149 () (and @t35 @t33 @t32 @t31 @t27)) % 33.98/34.35 (define @t150 () (tptp.m2_relset_1 @t1 @t2 @t3)) % 33.98/34.35 (define @t151 () (tptp.k2_zfmisc_1 @t42 @t42)) % 33.98/34.35 (define @t152 () (and (tptp.v1_funct_1 @t43) (tptp.v1_funct_2 @t43 @t151 @t42) (tptp.m2_relset_1 @t43 @t151 @t42))) % 33.98/34.35 (define @t153 () (forall @t38 (=> @t70 @t152))) % 33.98/34.35 (define @t154 () (and (tptp.v1_funct_1 @t44) (tptp.v1_funct_2 @t44 @t151 @t42) (tptp.m2_relset_1 @t44 @t151 @t42))) % 33.98/34.35 (define @t155 () (forall @t38 (=> @t144 @t154))) % 33.98/34.35 (define @t156 () (and @t134 @t133 (tptp.v4_lattices @t7) (tptp.v5_lattices @t7) (tptp.v6_lattices @t7) (tptp.v7_lattices @t7) (tptp.v8_lattices @t7) (tptp.v9_lattices @t7) @t132 (tptp.v13_lattices @t7) (tptp.v14_lattices @t7) (tptp.v15_lattices @t7))) % 33.98/34.35 (define @t157 () (forall @t38 (=> @t36 @t156))) % 33.98/34.35 (define @t158 () (and @t35 @t143)) % 33.98/34.35 (define @t159 () (tptp.k1_zfmisc_1 @t2)) % 33.98/34.35 (define @t160 () (= @t3 @t6)) % 33.98/34.35 (define @t161 () (and (= @t2 @t6) (= @t3 @t5) (= @t1 @t78))) % 33.98/34.35 (define @t162 () (= @t126 (tptp.g3_lattices @t6 @t5 @t78))) % 33.98/34.35 (define @t163 () (@list @t6 @t5 @t78)) % 33.98/34.35 (define @t164 () (forall @t163 (=> @t162 @t161))) % 33.98/34.35 (define @t165 () (=> @t129 @t164)) % 33.98/34.35 (define @t166 () (forall @t57 @t165)) % 33.98/34.35 (define @t167 () (tptp.m1_subset_1 @t3 @t159)) % 33.98/34.35 (define @t168 () (tptp.m1_group_2 @t1 @t3)) % 33.98/34.35 (define @t169 () (forall @t25 (= @t148 @t168))) % 33.98/34.35 (define @t170 () (forall @t51 (=> @t149 @t169))) % 33.98/34.35 (define @t171 () (forall @t57 (= @t150 @t56))) % 33.98/34.35 (define @t172 () (= @t3 @t1)) % 33.98/34.35 (define @t173 () (tptp.r1_group_2 @t2 @t3 @t1)) % 33.98/34.35 (define @t174 () (= @t173 @t172)) % 33.98/34.35 (define @t175 () (tptp.v1_group_1 @t1)) % 33.98/34.35 (define @t176 () (tptp.v1_group_1 @t3)) % 33.98/34.35 (define @t177 () (and @t35 @t33 @t32 @t31 @t176 @t27 @t175 @t23)) % 33.98/34.35 (define @t178 () (forall @t57 (=> @t177 @t174))) % 33.98/34.35 (define @t179 () (tptp.r1_lattices @t2 @t3 @t1)) % 33.98/34.35 (define @t180 () (= (tptp.r3_lattices @t2 @t3 @t1) @t179)) % 33.98/34.35 (define @t181 () (tptp.v9_lattices @t2)) % 33.98/34.35 (define @t182 () (tptp.v8_lattices @t2)) % 33.98/34.35 (define @t183 () (and @t35 @t71 @t182 @t181 @t48 @t69 @t68)) % 33.98/34.35 (define @t184 () (forall @t57 (=> @t183 @t180))) % 33.98/34.35 (define @t185 () (tptp.r3_lattices @t2 @t3 @t3)) % 33.98/34.35 (define @t186 () (forall @t57 (=> @t183 @t185))) % 33.98/34.35 (define @t187 () (= @t168 (tptp.r1_group_2 @t2 @t73 @t1))) % 33.98/34.35 (define @t188 () (and @t175 @t23)) % 33.98/34.35 (define @t189 () (forall @t25 (=> @t188 @t187))) % 33.98/34.35 (define @t190 () (=> @t27 @t189)) % 33.98/34.35 (define @t191 () (forall @t29 @t190)) % 33.98/34.35 (define @t192 () (=> @t36 @t191)) % 33.98/34.35 (define @t193 () (forall @t38 @t192)) % 33.98/34.35 (define @t194 () (tptp.m1_subset_1 @t2 @t3)) % 33.98/34.35 (define @t195 () (= @t179 (= @t113 @t3))) % 33.98/34.35 (define @t196 () (=> @t68 @t195)) % 33.98/34.35 (define @t197 () (forall @t25 @t196)) % 33.98/34.35 (define @t198 () (=> @t69 @t197)) % 33.98/34.35 (define @t199 () (forall @t29 @t198)) % 33.98/34.35 (define @t200 () (and @t35 @t182 @t181 @t48)) % 33.98/34.35 (define @t201 () (=> @t200 @t199)) % 33.98/34.35 (define @t202 () (forall @t38 @t201)) % 33.98/34.35 (define @t203 () (=> @t172 @t188)) % 33.98/34.35 (define @t204 () (forall @t25 (=> @t23 @t203))) % 33.98/34.35 (define @t205 () (tptp.m1_subset_1 @t3 @t14)) % 33.98/34.35 (define @t206 () (=> @t205 @t204)) % 33.98/34.35 (define @t207 () (forall @t29 @t206)) % 33.98/34.35 (define @t208 () (=> @t36 @t207)) % 33.98/34.35 (define @t209 () (forall @t38 @t208)) % 33.98/34.35 (define @t210 () (tptp.u1_struct_0 @t3)) % 33.98/34.35 (define @t211 () (tptp.r1_tarski @t210 (tptp.u1_struct_0 @t1))) % 33.98/34.35 (define @t212 () (= @t8 @t211)) % 33.98/34.35 (define @t213 () (=> @t12 @t212)) % 33.98/34.35 (define @t214 () (=> @t15 @t213)) % 33.98/34.35 (define @t215 () (forall @t17 @t214)) % 33.98/34.35 (define @t216 () (=> @t19 @t215)) % 33.98/34.35 (define @t217 () (forall @t21 @t216)) % 33.98/34.35 (define @t218 () (=> @t23 @t217)) % 33.98/34.35 (define @t219 () (forall @t25 @t218)) % 33.98/34.35 (define @t220 () (=> @t27 @t219)) % 33.98/34.35 (define @t221 () (forall @t29 @t220)) % 33.98/34.35 (define @t222 () (=> @t36 @t221)) % 33.98/34.35 (define @t223 () (forall @t38 @t222)) % 33.98/34.35 (define @t224 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t1))) % 33.98/34.35 (define @t225 () (tptp.m1_group_2 @t3 @t1)) % 33.98/34.35 (define @t226 () (=> @t211 @t225)) % 33.98/34.35 (define @t227 () (forall @t25 (=> @t23 @t226))) % 33.98/34.35 (define @t228 () (=> @t27 @t227)) % 33.98/34.35 (define @t229 () (forall @t29 @t228)) % 33.98/34.35 (define @t230 () (=> @t36 @t229)) % 33.98/34.35 (define @t231 () (forall @t38 @t230)) % 33.98/34.35 (define @t232 () (not @t23)) % 33.98/34.35 (define @t233 () (not @t27)) % 33.98/34.35 (define @t234 () (not @t31)) % 33.98/34.35 (define @t235 () (not @t32)) % 33.98/34.35 (define @t236 () (not @t33)) % 33.98/34.35 (define @t237 () (or @t34 @t236 @t235 @t234 @t233 @t232)) % 33.98/34.35 (define @t238 () (not @t35)) % 33.98/34.35 (define @t239 () (or @t238 @t236 @t235 @t234 @t233 @t232)) % 33.98/34.35 (define @t240 () (not @t76)) % 33.98/34.35 (define @t241 () (@var "BOUND_VARIABLE_8050" $$unsorted)) % 33.98/34.35 (define @t242 () (@var "BOUND_VARIABLE_8048" $$unsorted)) % 33.98/34.35 (define @t243 () (= (tptp.m1_group_6 @t242 @t2 @t241) (tptp.r3_lattices @t7 @t242 @t241))) % 33.98/34.35 (define @t244 () (not (tptp.m1_subset_1 @t241 @t14))) % 33.98/34.35 (define @t245 () (not (tptp.m1_group_2 @t241 @t2))) % 33.98/34.35 (define @t246 () (not (tptp.m1_subset_1 @t242 @t14))) % 33.98/34.35 (define @t247 () (not (tptp.m1_group_2 @t242 @t2))) % 33.98/34.35 (define @t248 () (or @t34 @t236 @t235 @t234 @t247 @t246 @t245 @t244 @t243)) % 33.98/34.35 (define @t249 () (@list @t2 @t242 @t241)) % 33.98/34.35 (define @t250 () (forall @t249 @t248)) % 33.98/34.35 (define @t251 () (@quantifiers_skolemize @t250 2)) % 33.98/34.35 (define @t252 () (@quantifiers_skolemize @t250 1)) % 33.98/34.35 (define @t253 () (@quantifiers_skolemize @t250 0)) % 33.98/34.35 (define @t254 () (or @t247 @t246 @t245 @t244 @t243)) % 33.98/34.35 (define @t255 () (or @t34 @t236 @t235 @t234 @t254)) % 33.98/34.35 (define @t256 () (forall @t249 @t255)) % 33.98/34.35 (define @t257 () (@list @t242 @t241)) % 33.98/34.35 (define @t258 () (forall @t257 @t255)) % 33.98/34.35 (define @t259 () (forall @t257 @t254)) % 33.98/34.35 (define @t260 () (@var "BOUND_VARIABLE_8024" $$unsorted)) % 33.98/34.35 (define @t261 () (or @t34 @t236 @t235 @t234 @t259)) % 33.98/34.35 (define @t262 () (= (tptp.m1_group_6 @t3 @t2 @t260) (tptp.r3_lattices @t7 @t3 @t260))) % 33.98/34.35 (define @t263 () (not (tptp.m1_subset_1 @t260 @t14))) % 33.98/34.35 (define @t264 () (not (tptp.m1_group_2 @t260 @t2))) % 33.98/34.35 (define @t265 () (not @t205)) % 33.98/34.35 (define @t266 () (or @t233 @t265 @t264 @t263 @t262)) % 33.98/34.35 (define @t267 () (@list @t3 @t260)) % 33.98/34.35 (define @t268 () (forall @t267 @t266)) % 33.98/34.35 (define @t269 () (or @t34 @t236 @t235 @t234 @t268)) % 33.98/34.35 (define @t270 () (or @t34 @t236 @t235 @t234)) % 33.98/34.35 (define @t271 () (or @t238 @t236 @t235 @t234)) % 33.98/34.35 (define @t272 () (not @t36)) % 33.98/34.35 (define @t273 () (or @t264 @t263 @t262)) % 33.98/34.35 (define @t274 () (or @t233 @t265 @t273)) % 33.98/34.35 (define @t275 () (forall @t267 @t274)) % 33.98/34.35 (define @t276 () (@list @t260)) % 33.98/34.35 (define @t277 () (forall @t276 @t274)) % 33.98/34.35 (define @t278 () (forall @t276 @t273)) % 33.98/34.35 (define @t279 () (@list @t1)) % 33.98/34.35 (define @t280 () (or @t233 @t265 @t278)) % 33.98/34.35 (define @t281 () (tptp.r3_lattices @t7 @t3 @t1)) % 33.98/34.35 (define @t282 () (= @t4 @t281)) % 33.98/34.35 (define @t283 () (not (tptp.m1_subset_1 @t1 @t14))) % 33.98/34.35 (define @t284 () (or @t232 @t283 @t282)) % 33.98/34.35 (define @t285 () (forall @t25 @t284)) % 33.98/34.35 (define @t286 () (or @t233 @t265 @t285)) % 33.98/34.35 (define @t287 () (or @t265 @t285)) % 33.98/34.35 (define @t288 () (or @t265 @t284)) % 33.98/34.35 (define @t289 () (or @t232 @t283 @t265 @t282)) % 33.98/34.35 (define @t290 () (or @t283 @t265 @t282)) % 33.98/34.35 (define @t291 () (or @t265 @t282)) % 33.98/34.35 (define @t292 () (not (= @t3 @t3))) % 33.98/34.35 (define @t293 () (or @t265 @t292 @t282)) % 33.98/34.35 (define @t294 () (tptp.r3_lattices @t7 @t6 @t1)) % 33.98/34.35 (define @t295 () (= @t4 @t294)) % 33.98/34.35 (define @t296 () (not @t160)) % 33.98/34.35 (define @t297 () (not @t19)) % 33.98/34.35 (define @t298 () (not @t11)) % 33.98/34.35 (define @t299 () (or @t296 @t297 @t296 @t295)) % 33.98/34.35 (define @t300 () (or @t297 @t296 @t295)) % 33.98/34.35 (define @t301 () (forall @t21 @t300)) % 33.98/34.35 (define @t302 () (or @t283 @t301)) % 33.98/34.35 (define @t303 () (or @t283 @t300)) % 33.98/34.35 (define @t304 () (or @t297 @t296 @t283 @t295)) % 33.98/34.35 (define @t305 () (or @t296 @t283 @t295)) % 33.98/34.35 (define @t306 () (or @t283 @t295)) % 33.98/34.35 (define @t307 () (not (= @t1 @t1))) % 33.98/34.35 (define @t308 () (or @t283 @t307 (= @t294 @t4))) % 33.98/34.35 (define @t309 () (not @t83)) % 33.98/34.35 (define @t310 () (not @t15)) % 33.98/34.35 (define @t311 () (not @t10)) % 33.98/34.35 (define @t312 () (or @t309 @t310 @t309 @t9)) % 33.98/34.35 (define @t313 () (or @t310 @t309 @t9)) % 33.98/34.35 (define @t314 () (forall @t17 @t313)) % 33.98/34.35 (define @t315 () (or @t296 @t314)) % 33.98/34.35 (define @t316 () (or @t296 @t313)) % 33.98/34.35 (define @t317 () (or @t310 @t296 @t309 @t9)) % 33.98/34.35 (define @t318 () (or @t296 @t309 @t9)) % 33.98/34.35 (define @t319 () (or @t296 @t309)) % 33.98/34.35 (define @t320 () (and @t160 @t83)) % 33.98/34.35 (define @t321 () (not @t320)) % 33.98/34.35 (define @t322 () (=> @t320 @t9)) % 33.98/34.35 (define @t323 () (tptp.m1_group_2 @t251 @t253)) % 33.98/34.35 (define @t324 () (tptp.k11_group_4 @t253)) % 33.98/34.35 (define @t325 () (tptp.r3_lattices @t324 @t252 @t251)) % 33.98/34.35 (define @t326 () (tptp.m1_group_6 @t252 @t253 @t251)) % 33.98/34.35 (define @t327 () (= @t326 @t325)) % 33.98/34.35 (define @t328 () (tptp.u1_struct_0 @t324)) % 33.98/34.35 (define @t329 () (tptp.m1_subset_1 @t251 @t328)) % 33.98/34.35 (define @t330 () (not @t329)) % 33.98/34.35 (define @t331 () (not @t323)) % 33.98/34.35 (define @t332 () (tptp.m1_subset_1 @t252 @t328)) % 33.98/34.35 (define @t333 () (not @t332)) % 33.98/34.35 (define @t334 () (tptp.m1_group_2 @t252 @t253)) % 33.98/34.35 (define @t335 () (not @t334)) % 33.98/34.35 (define @t336 () (tptp.l1_group_1 @t253)) % 33.98/34.35 (define @t337 () (not @t336)) % 33.98/34.35 (define @t338 () (tptp.v4_group_1 @t253)) % 33.98/34.35 (define @t339 () (not @t338)) % 33.98/34.35 (define @t340 () (tptp.v3_group_1 @t253)) % 33.98/34.35 (define @t341 () (not @t340)) % 33.98/34.35 (define @t342 () (tptp.v3_struct_0 @t253)) % 33.98/34.35 (define @t343 () (or @t342 @t341 @t339 @t337 @t335 @t333 @t331 @t330 @t327)) % 33.98/34.35 (define @t344 () (@list true)) % 33.98/34.35 (define @t345 () (@list @t343)) % 33.98/34.35 (define @t346 () (tptp.k9_group_2 @t253 @t251 @t252)) % 33.98/34.35 (define @t347 () (tptp.k9_group_2 @t253 @t252 @t251)) % 33.98/34.35 (define @t348 () (= @t347 @t346)) % 33.98/34.35 (define @t349 () (or @t342 @t341 @t339 @t337 @t335 @t331 @t348)) % 33.98/34.35 (define @t350 () (@list true false false false false false false)) % 33.98/34.35 (define @t351 () (@var "BOUND_VARIABLE_8303" $$unsorted)) % 33.98/34.35 (define @t352 () (@var "BOUND_VARIABLE_8301" $$unsorted)) % 33.98/34.35 (define @t353 () (= (tptp.k2_lattices @t2 @t352 @t351) (tptp.k2_binop_1 @t42 @t42 @t42 @t43 @t352 @t351))) % 33.98/34.35 (define @t354 () (not (tptp.m1_subset_1 @t351 @t42))) % 33.98/34.35 (define @t355 () (not (tptp.m1_subset_1 @t352 @t42))) % 33.98/34.35 (define @t356 () (not @t70)) % 33.98/34.35 (define @t357 () (or @t355 @t354 @t353)) % 33.98/34.35 (define @t358 () (or @t34 @t356 @t357)) % 33.98/34.35 (define @t359 () (forall (@list @t2 @t352 @t351) @t358)) % 33.98/34.35 (define @t360 () (@list @t352 @t351)) % 33.98/34.35 (define @t361 () (forall @t360 @t358)) % 33.98/34.35 (define @t362 () (forall @t360 @t357)) % 33.98/34.35 (define @t363 () (@var "BOUND_VARIABLE_8282" $$unsorted)) % 33.98/34.35 (define @t364 () (or @t34 @t356 @t362)) % 33.98/34.35 (define @t365 () (= (tptp.k2_lattices @t2 @t3 @t363) (tptp.k2_binop_1 @t42 @t42 @t42 @t43 @t3 @t363))) % 33.98/34.35 (define @t366 () (not (tptp.m1_subset_1 @t363 @t42))) % 33.98/34.35 (define @t367 () (not @t69)) % 33.98/34.35 (define @t368 () (or @t367 @t366 @t365)) % 33.98/34.35 (define @t369 () (@list @t3 @t363)) % 33.98/34.35 (define @t370 () (forall @t369 @t368)) % 33.98/34.35 (define @t371 () (or @t34 @t356 @t370)) % 33.98/34.35 (define @t372 () (or @t366 @t365)) % 33.98/34.35 (define @t373 () (or @t367 @t372)) % 33.98/34.35 (define @t374 () (forall @t369 @t373)) % 33.98/34.35 (define @t375 () (@list @t363)) % 33.98/34.35 (define @t376 () (forall @t375 @t373)) % 33.98/34.35 (define @t377 () (forall @t375 @t372)) % 33.98/34.35 (define @t378 () (or @t367 @t377)) % 33.98/34.35 (define @t379 () (not @t68)) % 33.98/34.35 (define @t380 () (forall @t25 (or @t379 @t114))) % 33.98/34.35 (define @t381 () (@list @t324 @t252 @t251)) % 33.98/34.35 (define @t382 () (@list @t324)) % 33.98/34.35 (define @t383 () (@list @t253)) % 33.98/34.35 (define @t384 () (tptp.l3_lattices @t324)) % 33.98/34.35 (define @t385 () (tptp.v10_lattices @t324)) % 33.98/34.35 (define @t386 () (tptp.v3_lattices @t324)) % 33.98/34.35 (define @t387 () (tptp.v3_struct_0 @t324)) % 33.98/34.35 (define @t388 () (not @t387)) % 33.98/34.35 (define @t389 () (and @t388 @t386 @t385 @t384)) % 33.98/34.35 (define @t390 () (or @t342 @t341 @t339 @t337 @t389)) % 33.98/34.35 (define @t391 () (@list true false false false false)) % 33.98/34.35 (define @t392 () (not @t389)) % 33.98/34.35 (define @t393 () (@list false)) % 33.98/34.35 (define @t394 () (@list @t389)) % 33.98/34.35 (define @t395 () (tptp.l2_lattices @t324)) % 33.98/34.35 (define @t396 () (tptp.l1_lattices @t324)) % 33.98/34.35 (define @t397 () (and @t396 @t395)) % 33.98/34.35 (define @t398 () (not @t384)) % 33.98/34.35 (define @t399 () (or @t398 @t397)) % 33.98/34.35 (define @t400 () (@list false false)) % 33.98/34.35 (define @t401 () (not @t397)) % 33.98/34.35 (define @t402 () (@list @t397)) % 33.98/34.35 (define @t403 () (tptp.u1_lattices @t324)) % 33.98/34.35 (define @t404 () (tptp.k2_binop_1 @t328 @t328 @t328 @t403 @t252 @t251)) % 33.98/34.35 (define @t405 () (tptp.k2_lattices @t324 @t252 @t251)) % 33.98/34.35 (define @t406 () (= @t405 @t404)) % 33.98/34.35 (define @t407 () (not @t396)) % 33.98/34.35 (define @t408 () (or @t387 @t407 @t333 @t330 @t406)) % 33.98/34.35 (define @t409 () (@var "BOUND_VARIABLE_8690" $$unsorted)) % 33.98/34.35 (define @t410 () (@var "BOUND_VARIABLE_8688" $$unsorted)) % 33.98/34.35 (define @t411 () (= (tptp.m1_group_2 @t409 @t410) (tptp.r1_group_2 @t2 (tptp.k9_group_2 @t2 @t409 @t410) @t409))) % 33.98/34.35 (define @t412 () (not (tptp.m1_group_2 @t409 @t2))) % 33.98/34.35 (define @t413 () (not (tptp.v1_group_1 @t409))) % 33.98/34.35 (define @t414 () (not (tptp.m1_group_2 @t410 @t2))) % 33.98/34.35 (define @t415 () (or @t414 @t413 @t412 @t411)) % 33.98/34.35 (define @t416 () (or @t34 @t236 @t235 @t234 @t415)) % 33.98/34.35 (define @t417 () (forall (@list @t2 @t410 @t409) @t416)) % 33.98/34.35 (define @t418 () (@list @t410 @t409)) % 33.98/34.35 (define @t419 () (forall @t418 @t416)) % 33.98/34.35 (define @t420 () (forall @t418 @t415)) % 33.98/34.35 (define @t421 () (@var "BOUND_VARIABLE_8668" $$unsorted)) % 33.98/34.35 (define @t422 () (or @t34 @t236 @t235 @t234 @t420)) % 33.98/34.35 (define @t423 () (= (tptp.m1_group_2 @t421 @t3) (tptp.r1_group_2 @t2 (tptp.k9_group_2 @t2 @t421 @t3) @t421))) % 33.98/34.35 (define @t424 () (not (tptp.m1_group_2 @t421 @t2))) % 33.98/34.35 (define @t425 () (not (tptp.v1_group_1 @t421))) % 33.98/34.35 (define @t426 () (or @t233 @t425 @t424 @t423)) % 33.98/34.35 (define @t427 () (@list @t3 @t421)) % 33.98/34.35 (define @t428 () (forall @t427 @t426)) % 33.98/34.35 (define @t429 () (or @t34 @t236 @t235 @t234 @t428)) % 33.98/34.35 (define @t430 () (or @t425 @t424 @t423)) % 33.98/34.35 (define @t431 () (or @t233 @t430)) % 33.98/34.35 (define @t432 () (forall @t427 @t431)) % 33.98/34.35 (define @t433 () (@list @t421)) % 33.98/34.35 (define @t434 () (forall @t433 @t431)) % 33.98/34.35 (define @t435 () (forall @t433 @t430)) % 33.98/34.35 (define @t436 () (or @t233 @t435)) % 33.98/34.35 (define @t437 () (not @t175)) % 33.98/34.35 (define @t438 () (or @t437 @t232 @t187)) % 33.98/34.35 (define @t439 () (forall @t25 @t438)) % 33.98/34.35 (define @t440 () (or @t437 @t232)) % 33.98/34.35 (define @t441 () (not @t188)) % 33.98/34.35 (define @t442 () (@list @t253 @t252 @t252)) % 33.98/34.35 (define @t443 () (@var "BOUND_VARIABLE_8777" $$unsorted)) % 33.98/34.35 (define @t444 () (tptp.m1_group_2 @t443 @t2)) % 33.98/34.35 (define @t445 () (and (tptp.v1_group_1 @t443) @t444)) % 33.98/34.35 (define @t446 () (not @t444)) % 33.98/34.35 (define @t447 () (not (tptp.m1_subset_1 @t443 @t14))) % 33.98/34.35 (define @t448 () (or @t447 @t446 @t445)) % 33.98/34.35 (define @t449 () (or @t34 @t236 @t235 @t234 @t448)) % 33.98/34.35 (define @t450 () (forall (@list @t2 @t443) @t449)) % 33.98/34.35 (define @t451 () (@list @t443)) % 33.98/34.35 (define @t452 () (forall @t451 @t449)) % 33.98/34.35 (define @t453 () (forall @t451 @t448)) % 33.98/34.35 (define @t454 () (@list @t3)) % 33.98/34.35 (define @t455 () (or @t34 @t236 @t235 @t234 @t453)) % 33.98/34.35 (define @t456 () (and @t176 @t27)) % 33.98/34.35 (define @t457 () (or @t265 @t233 @t456)) % 33.98/34.35 (define @t458 () (forall @t29 @t457)) % 33.98/34.35 (define @t459 () (or @t34 @t236 @t235 @t234 @t458)) % 33.98/34.35 (define @t460 () (or @t233 @t456)) % 33.98/34.35 (define @t461 () (or @t233 @t292 @t456)) % 33.98/34.35 (define @t462 () (not @t172)) % 33.98/34.35 (define @t463 () (or @t462 @t232 @t462 @t188)) % 33.98/34.35 (define @t464 () (or @t232 @t462 @t188)) % 33.98/34.35 (define @t465 () (tptp.v1_group_1 @t252)) % 33.98/34.35 (define @t466 () (and @t465 @t334)) % 33.98/34.35 (define @t467 () (or @t342 @t341 @t339 @t337 @t333 @t335 @t466)) % 33.98/34.35 (define @t468 () (tptp.k9_group_2 @t253 @t252 @t252)) % 33.98/34.35 (define @t469 () (tptp.r1_group_2 @t253 @t468 @t252)) % 33.98/34.35 (define @t470 () (tptp.m1_group_2 @t252 @t252)) % 33.98/34.35 (define @t471 () (= @t470 @t469)) % 33.98/34.35 (define @t472 () (not @t465)) % 33.98/34.35 (define @t473 () (or @t342 @t341 @t339 @t337 @t335 @t472 @t335 @t471)) % 33.98/34.35 (define @t474 () (@var "BOUND_VARIABLE_8917" $$unsorted)) % 33.98/34.35 (define @t475 () (@var "BOUND_VARIABLE_8915" $$unsorted)) % 33.98/34.35 (define @t476 () (tptp.m1_group_2 @t475 @t474)) % 33.98/34.35 (define @t477 () (not (tptp.r1_tarski (tptp.u1_struct_0 @t475) (tptp.u1_struct_0 @t474)))) % 33.98/34.35 (define @t478 () (not (tptp.m1_group_2 @t474 @t2))) % 33.98/34.35 (define @t479 () (not (tptp.m1_group_2 @t475 @t2))) % 33.98/34.35 (define @t480 () (or @t479 @t478 @t477 @t476)) % 33.98/34.35 (define @t481 () (or @t34 @t236 @t235 @t234 @t480)) % 33.98/34.35 (define @t482 () (forall (@list @t2 @t475 @t474) @t481)) % 33.98/34.35 (define @t483 () (@list @t475 @t474)) % 33.98/34.35 (define @t484 () (forall @t483 @t481)) % 33.98/34.35 (define @t485 () (forall @t483 @t480)) % 33.98/34.35 (define @t486 () (@var "BOUND_VARIABLE_8897" $$unsorted)) % 33.98/34.35 (define @t487 () (or @t34 @t236 @t235 @t234 @t485)) % 33.98/34.35 (define @t488 () (tptp.m1_group_2 @t3 @t486)) % 33.98/34.35 (define @t489 () (not (tptp.r1_tarski @t210 (tptp.u1_struct_0 @t486)))) % 33.98/34.35 (define @t490 () (not (tptp.m1_group_2 @t486 @t2))) % 33.98/34.35 (define @t491 () (or @t233 @t490 @t489 @t488)) % 33.98/34.35 (define @t492 () (@list @t3 @t486)) % 33.98/34.35 (define @t493 () (forall @t492 @t491)) % 33.98/34.35 (define @t494 () (or @t34 @t236 @t235 @t234 @t493)) % 33.98/34.35 (define @t495 () (or @t490 @t489 @t488)) % 33.98/34.35 (define @t496 () (or @t233 @t495)) % 33.98/34.35 (define @t497 () (forall @t492 @t496)) % 33.98/34.35 (define @t498 () (@list @t486)) % 33.98/34.35 (define @t499 () (forall @t498 @t496)) % 33.98/34.35 (define @t500 () (forall @t498 @t495)) % 33.98/34.35 (define @t501 () (or @t233 @t500)) % 33.98/34.35 (define @t502 () (not @t211)) % 33.98/34.35 (define @t503 () (or @t232 @t502 @t225)) % 33.98/34.35 (define @t504 () (forall @t25 @t503)) % 33.98/34.35 (define @t505 () (@var "BOUND_VARIABLE_8858" $$unsorted)) % 33.98/34.35 (define @t506 () (@var "BOUND_VARIABLE_8856" $$unsorted)) % 33.98/34.35 (define @t507 () (= (tptp.r1_tarski (tptp.u1_struct_0 @t506) (tptp.u1_struct_0 @t505)) (tptp.r3_lattices @t7 @t506 @t505))) % 33.98/34.35 (define @t508 () (not (tptp.m1_subset_1 @t505 @t14))) % 33.98/34.35 (define @t509 () (not (tptp.m1_group_2 @t505 @t2))) % 33.98/34.35 (define @t510 () (not (tptp.m1_subset_1 @t506 @t14))) % 33.98/34.35 (define @t511 () (not (tptp.m1_group_2 @t506 @t2))) % 33.98/34.35 (define @t512 () (or @t34 @t236 @t235 @t234 @t511 @t510 @t509 @t508 @t507)) % 33.98/34.35 (define @t513 () (or @t511 @t510 @t509 @t508 @t507)) % 33.98/34.35 (define @t514 () (or @t34 @t236 @t235 @t234 @t513)) % 33.98/34.35 (define @t515 () (@list @t2 @t506 @t505)) % 33.98/34.35 (define @t516 () (forall @t515 @t514)) % 33.98/34.35 (define @t517 () (@list @t506 @t505)) % 33.98/34.35 (define @t518 () (forall @t517 @t514)) % 33.98/34.35 (define @t519 () (forall @t517 @t513)) % 33.98/34.35 (define @t520 () (@var "BOUND_VARIABLE_8836" $$unsorted)) % 33.98/34.35 (define @t521 () (or @t34 @t236 @t235 @t234 @t519)) % 33.98/34.35 (define @t522 () (= (tptp.r1_tarski @t210 (tptp.u1_struct_0 @t520)) (tptp.r3_lattices @t7 @t3 @t520))) % 33.98/34.35 (define @t523 () (not (tptp.m1_subset_1 @t520 @t14))) % 33.98/34.35 (define @t524 () (not (tptp.m1_group_2 @t520 @t2))) % 33.98/34.35 (define @t525 () (or @t233 @t265 @t524 @t523 @t522)) % 33.98/34.35 (define @t526 () (@list @t3 @t520)) % 33.98/34.35 (define @t527 () (forall @t526 @t525)) % 33.98/34.35 (define @t528 () (or @t34 @t236 @t235 @t234 @t527)) % 33.98/34.35 (define @t529 () (or @t524 @t523 @t522)) % 33.98/34.35 (define @t530 () (or @t233 @t265 @t529)) % 33.98/34.35 (define @t531 () (forall @t526 @t530)) % 33.98/34.35 (define @t532 () (@list @t520)) % 33.98/34.35 (define @t533 () (forall @t532 @t530)) % 33.98/34.35 (define @t534 () (forall @t532 @t529)) % 33.98/34.35 (define @t535 () (or @t233 @t265 @t534)) % 33.98/34.35 (define @t536 () (= @t211 @t281)) % 33.98/34.35 (define @t537 () (or @t232 @t283 @t536)) % 33.98/34.35 (define @t538 () (forall @t25 @t537)) % 33.98/34.35 (define @t539 () (or @t233 @t265 @t538)) % 33.98/34.35 (define @t540 () (or @t265 @t538)) % 33.98/34.35 (define @t541 () (or @t265 @t537)) % 33.98/34.35 (define @t542 () (or @t232 @t283 @t265 @t536)) % 33.98/34.35 (define @t543 () (or @t283 @t265 @t536)) % 33.98/34.35 (define @t544 () (or @t265 @t536)) % 33.98/34.35 (define @t545 () (or @t265 @t292 @t536)) % 33.98/34.35 (define @t546 () (= @t211 @t294)) % 33.98/34.35 (define @t547 () (or @t296 @t297 @t296 @t546)) % 33.98/34.35 (define @t548 () (or @t297 @t296 @t546)) % 33.98/34.35 (define @t549 () (forall @t21 @t548)) % 33.98/34.35 (define @t550 () (or @t283 @t549)) % 33.98/34.35 (define @t551 () (or @t283 @t548)) % 33.98/34.35 (define @t552 () (or @t297 @t296 @t283 @t546)) % 33.98/34.35 (define @t553 () (or @t296 @t283 @t546)) % 33.98/34.35 (define @t554 () (or @t283 @t546)) % 33.98/34.35 (define @t555 () (or @t283 @t307 (= @t294 @t211))) % 33.98/34.35 (define @t556 () (or @t309 @t310 @t309 @t212)) % 33.98/34.35 (define @t557 () (or @t310 @t309 @t212)) % 33.98/34.35 (define @t558 () (forall @t17 @t557)) % 33.98/34.35 (define @t559 () (or @t296 @t558)) % 33.98/34.35 (define @t560 () (or @t296 @t557)) % 33.98/34.35 (define @t561 () (or @t310 @t296 @t309 @t212)) % 33.98/34.35 (define @t562 () (or @t296 @t309 @t212)) % 33.98/34.35 (define @t563 () (=> @t320 @t212)) % 33.98/34.35 (define @t564 () (tptp.u1_struct_0 @t252)) % 33.98/34.35 (define @t565 () (tptp.r1_tarski @t564 @t564)) % 33.98/34.35 (define @t566 () (tptp.r3_lattices @t324 @t252 @t252)) % 33.98/34.35 (define @t567 () (or @t342 @t341 @t339 @t337 @t335 @t333 @t335 @t333 (= @t565 @t566))) % 33.98/34.35 (define @t568 () (forall @t515 @t512)) % 33.98/34.35 (define @t569 () (= @t566 @t565)) % 33.98/34.35 (define @t570 () (or @t342 @t341 @t339 @t337 @t335 @t333 @t335 @t333 @t569)) % 33.98/34.35 (define @t571 () (not @t48)) % 33.98/34.35 (define @t572 () (not @t181)) % 33.98/34.35 (define @t573 () (not @t182)) % 33.98/34.35 (define @t574 () (not @t71)) % 33.98/34.35 (define @t575 () (or @t34 @t574 @t573 @t572 @t571 @t367 @t379)) % 33.98/34.35 (define @t576 () (or @t238 @t574 @t573 @t572 @t571 @t367 @t379)) % 33.98/34.35 (define @t577 () (not @t183)) % 33.98/34.35 (define @t578 () (tptp.v9_lattices @t324)) % 33.98/34.35 (define @t579 () (tptp.v8_lattices @t324)) % 33.98/34.35 (define @t580 () (tptp.v6_lattices @t324)) % 33.98/34.35 (define @t581 () (and @t388 @t386 (tptp.v4_lattices @t324) (tptp.v5_lattices @t324) @t580 (tptp.v7_lattices @t324) @t579 @t578 @t385 (tptp.v13_lattices @t324) (tptp.v14_lattices @t324) (tptp.v15_lattices @t324))) % 33.98/34.35 (define @t582 () (or @t342 @t341 @t339 @t337 @t581)) % 33.98/34.35 (define @t583 () (not @t581)) % 33.98/34.35 (define @t584 () (@list @t581)) % 33.98/34.35 (define @t585 () (not @t578)) % 33.98/34.35 (define @t586 () (not @t579)) % 33.98/34.35 (define @t587 () (not @t580)) % 33.98/34.35 (define @t588 () (or @t387 @t587 @t586 @t585 @t398 @t333 @t333 @t566)) % 33.98/34.35 (define @t589 () (not @t565)) % 33.98/34.35 (define @t590 () (or @t342 @t341 @t339 @t337 @t335 @t335 @t589 @t470)) % 33.98/34.35 (define @t591 () (not @t176)) % 33.98/34.35 (define @t592 () (or @t34 @t236 @t235 @t234 @t591 @t233 @t437 @t232 @t174)) % 33.98/34.35 (define @t593 () (or @t238 @t236 @t235 @t234 @t591 @t233 @t437 @t232)) % 33.98/34.35 (define @t594 () (= @t469 (= @t468 @t252))) % 33.98/34.35 (define @t595 () (tptp.m1_group_2 @t468 @t253)) % 33.98/34.35 (define @t596 () (not @t595)) % 33.98/34.35 (define @t597 () (tptp.v1_group_1 @t468)) % 33.98/34.35 (define @t598 () (not @t597)) % 33.98/34.35 (define @t599 () (or @t342 @t341 @t339 @t337 @t598 @t596 @t472 @t335 @t594)) % 33.98/34.35 (define @t600 () (forall @t57 @t592)) % 33.98/34.35 (define @t601 () (= @t252 @t468)) % 33.98/34.35 (define @t602 () (= @t469 @t601)) % 33.98/34.35 (define @t603 () (or @t342 @t341 @t339 @t337 @t598 @t596 @t472 @t335 @t602)) % 33.98/34.36 (define @t604 () (@list @t600)) % 33.98/34.36 (define @t605 () (and @t597 @t595)) % 33.98/34.36 (define @t606 () (or @t342 @t341 @t339 @t337 @t335 @t335 @t605)) % 33.98/34.36 (define @t607 () (@list true false false false false false)) % 33.98/34.36 (define @t608 () (not @t605)) % 33.98/34.36 (define @t609 () (@list @t605)) % 33.98/34.36 (define @t610 () (@list true false false false false false false false false)) % 33.98/34.36 (define @t611 () (not @t469)) % 33.98/34.36 (define @t612 () (@var "BOUND_VARIABLE_8529" $$unsorted)) % 33.98/34.36 (define @t613 () (@var "BOUND_VARIABLE_8527" $$unsorted)) % 33.98/34.36 (define @t614 () (@var "BOUND_VARIABLE_8525" $$unsorted)) % 33.98/34.36 (define @t615 () (and (= @t2 @t614) (= @t3 @t613) (= @t1 @t612))) % 33.98/34.36 (define @t616 () (not (= @t126 (tptp.g3_lattices @t614 @t613 @t612)))) % 33.98/34.36 (define @t617 () (not @t127)) % 33.98/34.36 (define @t618 () (not @t128)) % 33.98/34.36 (define @t619 () (not @t53)) % 33.98/34.36 (define @t620 () (not @t123)) % 33.98/34.36 (define @t621 () (not @t124)) % 33.98/34.36 (define @t622 () (not @t104)) % 33.98/34.36 (define @t623 () (or @t616 @t615)) % 33.98/34.36 (define @t624 () (or @t622 @t621 @t620 @t619 @t618 @t617 @t623)) % 33.98/34.36 (define @t625 () (forall (@list @t2 @t3 @t1 @t614 @t613 @t612) @t624)) % 33.98/34.36 (define @t626 () (@list @t614 @t613 @t612)) % 33.98/34.36 (define @t627 () (forall @t626 @t624)) % 33.98/34.36 (define @t628 () (forall @t626 @t623)) % 33.98/34.36 (define @t629 () (or @t622 @t621 @t620 @t619 @t618 @t617 @t628)) % 33.98/34.36 (define @t630 () (forall @t163 (or (not @t162) @t161))) % 33.98/34.36 (define @t631 () (or @t622 @t621 @t620 @t619 @t618 @t617 @t630)) % 33.98/34.36 (define @t632 () (or @t622 @t621 @t620 @t619 @t618 @t617)) % 33.98/34.36 (define @t633 () (tptp.k10_group_4 @t253)) % 33.98/34.36 (define @t634 () (tptp.k9_group_4 @t253)) % 33.98/34.36 (define @t635 () (tptp.k1_group_3 @t253)) % 33.98/34.36 (define @t636 () (tptp.u2_lattices @t324)) % 33.98/34.36 (define @t637 () (tptp.g3_lattices @t635 @t634 @t633)) % 33.98/34.36 (define @t638 () (= @t324 @t637)) % 33.98/34.36 (define @t639 () (or @t342 @t341 @t339 @t337 @t638)) % 33.98/34.36 (define @t640 () (not @t46)) % 33.98/34.36 (define @t641 () (tptp.g3_lattices @t328 @t636 @t403)) % 33.98/34.36 (define @t642 () (= @t324 @t641)) % 33.98/34.36 (define @t643 () (not @t386)) % 33.98/34.36 (define @t644 () (or @t398 @t643 @t642)) % 33.98/34.36 (define @t645 () (tptp.k2_zfmisc_1 @t328 @t328)) % 33.98/34.36 (define @t646 () (tptp.m1_relset_1 @t403 @t645 @t328)) % 33.98/34.36 (define @t647 () (tptp.m2_relset_1 @t403 @t645 @t328)) % 33.98/34.36 (define @t648 () (forall @t57 (= @t56 @t150))) % 33.98/34.36 (define @t649 () (= @t646 @t647)) % 33.98/34.36 (define @t650 () (= @t647 @t646)) % 33.98/34.36 (define @t651 () (@list @t648)) % 33.98/34.36 (define @t652 () (tptp.v1_funct_2 @t403 @t645 @t328)) % 33.98/34.36 (define @t653 () (tptp.v1_funct_1 @t403)) % 33.98/34.36 (define @t654 () (and @t653 @t652 @t647)) % 33.98/34.36 (define @t655 () (or @t407 @t654)) % 33.98/34.36 (define @t656 () (not @t654)) % 33.98/34.36 (define @t657 () (@list @t654)) % 33.98/34.36 (define @t658 () (tptp.m1_relset_1 @t636 @t645 @t328)) % 33.98/34.36 (define @t659 () (tptp.m2_relset_1 @t636 @t645 @t328)) % 33.98/34.36 (define @t660 () (= @t658 @t659)) % 33.98/34.36 (define @t661 () (= @t659 @t658)) % 33.98/34.36 (define @t662 () (tptp.v1_funct_2 @t636 @t645 @t328)) % 33.98/34.36 (define @t663 () (tptp.v1_funct_1 @t636)) % 33.98/34.36 (define @t664 () (and @t663 @t662 @t659)) % 33.98/34.36 (define @t665 () (not @t395)) % 33.98/34.36 (define @t666 () (or @t665 @t664)) % 33.98/34.36 (define @t667 () (not @t664)) % 33.98/34.36 (define @t668 () (@list @t664)) % 33.98/34.36 (define @t669 () (= @t403 @t633)) % 33.98/34.36 (define @t670 () (= @t328 @t635)) % 33.98/34.36 (define @t671 () (and @t670 (= @t636 @t634) @t669)) % 33.98/34.36 (define @t672 () (= @t641 @t637)) % 33.98/34.36 (define @t673 () (not @t672)) % 33.98/34.36 (define @t674 () (not @t646)) % 33.98/34.36 (define @t675 () (not @t652)) % 33.98/34.36 (define @t676 () (not @t653)) % 33.98/34.36 (define @t677 () (not @t658)) % 33.98/34.36 (define @t678 () (not @t662)) % 33.98/34.36 (define @t679 () (not @t663)) % 33.98/34.36 (define @t680 () (or @t679 @t678 @t677 @t676 @t675 @t674 @t673 @t671)) % 33.98/34.36 (define @t681 () (not @t671)) % 33.98/34.36 (define @t682 () (@list @t671)) % 33.98/34.36 (define @t683 () (@var "BOUND_VARIABLE_8217" $$unsorted)) % 33.98/34.36 (define @t684 () (@var "BOUND_VARIABLE_8246" $$unsorted)) % 33.98/34.36 (define @t685 () (tptp.k2_binop_1 @t79 @t79 @t79 @t684 @t1 @t683)) % 33.98/34.36 (define @t686 () (tptp.k9_group_2 @t2 @t1 @t683)) % 33.98/34.36 (define @t687 () (not (tptp.m1_group_2 @t683 @t2))) % 33.98/34.36 (define @t688 () (not (tptp.m1_subset_1 @t683 @t79))) % 33.98/34.36 (define @t689 () (not @t95)) % 33.98/34.36 (define @t690 () (or @t689 @t232 @t688 @t687 (= @t685 @t686))) % 33.98/34.36 (define @t691 () (@list @t1 @t683)) % 33.98/34.36 (define @t692 () (forall @t691 @t690)) % 33.98/34.36 (define @t693 () (= (= @t684 @t98) @t692)) % 33.98/34.36 (define @t694 () (not (tptp.m2_relset_1 @t684 @t101 @t79))) % 33.98/34.36 (define @t695 () (not (tptp.v1_funct_2 @t684 @t101 @t79))) % 33.98/34.36 (define @t696 () (not (tptp.v1_funct_1 @t684))) % 33.98/34.36 (define @t697 () (or @t34 @t236 @t235 @t234 @t696 @t695 @t694 @t693)) % 33.98/34.36 (define @t698 () (or @t696 @t695 @t694 @t693)) % 33.98/34.36 (define @t699 () (or @t34 @t236 @t235 @t234 @t698)) % 33.98/34.36 (define @t700 () (@list @t2 @t684)) % 33.98/34.36 (define @t701 () (forall @t700 @t699)) % 33.98/34.36 (define @t702 () (@list @t684)) % 33.98/34.36 (define @t703 () (forall @t702 @t699)) % 33.98/34.36 (define @t704 () (forall @t702 @t698)) % 33.98/34.36 (define @t705 () (or @t34 @t236 @t235 @t234 @t704)) % 33.98/34.36 (define @t706 () (= (tptp.k2_binop_1 @t79 @t79 @t79 @t3 @t1 @t683) @t686)) % 33.98/34.36 (define @t707 () (or @t689 @t232 @t688 @t687 @t706)) % 33.98/34.36 (define @t708 () (= @t99 (forall @t691 @t707))) % 33.98/34.36 (define @t709 () (not @t102)) % 33.98/34.36 (define @t710 () (not @t103)) % 33.98/34.36 (define @t711 () (or @t622 @t710 @t709 @t708)) % 33.98/34.36 (define @t712 () (forall @t29 @t711)) % 33.98/34.36 (define @t713 () (or @t34 @t236 @t235 @t234 @t712)) % 33.98/34.36 (define @t714 () (or @t622 @t710 @t709)) % 33.98/34.36 (define @t715 () (or @t688 @t687 @t706)) % 33.98/34.36 (define @t716 () (or @t689 @t232 @t715)) % 33.98/34.36 (define @t717 () (forall @t691 @t716)) % 33.98/34.36 (define @t718 () (@list @t683)) % 33.98/34.36 (define @t719 () (forall @t718 @t716)) % 33.98/34.36 (define @t720 () (forall @t718 @t715)) % 33.98/34.36 (define @t721 () (or @t689 @t232 @t720)) % 33.98/34.36 (define @t722 () (= @t80 (tptp.k9_group_2 @t2 @t1 @t6))) % 33.98/34.36 (define @t723 () (not (tptp.m1_group_2 @t6 @t2))) % 33.98/34.36 (define @t724 () (not @t92)) % 33.98/34.36 (define @t725 () (or @t724 @t723 @t722)) % 33.98/34.36 (define @t726 () (forall @t21 @t725)) % 33.98/34.36 (define @t727 () (or @t689 @t232 @t726)) % 33.98/34.36 (define @t728 () (or @t232 @t726)) % 33.98/34.36 (define @t729 () (or @t232 @t725)) % 33.98/34.36 (define @t730 () (or @t724 @t723 @t232 @t722)) % 33.98/34.36 (define @t731 () (or @t723 @t232 @t722)) % 33.98/34.36 (define @t732 () (or @t232 @t722)) % 33.98/34.36 (define @t733 () (or @t232 @t307 @t722)) % 33.98/34.36 (define @t734 () (= @t80 (tptp.k9_group_2 @t2 @t5 @t6))) % 33.98/34.36 (define @t735 () (not @t89)) % 33.98/34.36 (define @t736 () (or @t309 @t735 @t309 @t734)) % 33.98/34.36 (define @t737 () (or @t735 @t309 @t734)) % 33.98/34.36 (define @t738 () (forall @t17 @t737)) % 33.98/34.36 (define @t739 () (or @t723 @t738)) % 33.98/34.36 (define @t740 () (or @t723 @t737)) % 33.98/34.36 (define @t741 () (or @t735 @t309 @t723 @t734)) % 33.98/34.36 (define @t742 () (or @t309 @t723 @t734)) % 33.98/34.36 (define @t743 () (or @t723 @t734)) % 33.98/34.36 (define @t744 () (not (= @t6 @t6))) % 33.98/34.36 (define @t745 () (or @t723 @t744 @t734)) % 33.98/34.36 (define @t746 () (not @t82)) % 33.98/34.36 (define @t747 () (not @t86)) % 33.98/34.36 (define @t748 () (or @t746 @t747 @t746 @t81)) % 33.98/34.36 (define @t749 () (or @t747 @t746 @t81)) % 33.98/34.36 (define @t750 () (forall @t87 @t749)) % 33.98/34.36 (define @t751 () (or @t309 @t750)) % 33.98/34.36 (define @t752 () (or @t309 @t749)) % 33.98/34.36 (define @t753 () (or @t747 @t309 @t746 @t81)) % 33.98/34.36 (define @t754 () (or @t309 @t746 @t81)) % 33.98/34.36 (define @t755 () (forall @t691 (or (not (tptp.m1_subset_1 @t1 @t635)) (not (tptp.m1_group_2 @t1 @t253)) (not (tptp.m1_subset_1 @t683 @t635)) (not (tptp.m1_group_2 @t683 @t253)) (= (tptp.k9_group_2 @t253 @t1 @t683) (tptp.k2_binop_1 @t635 @t635 @t635 @t633 @t1 @t683))))) % 33.98/34.36 (define @t756 () (= (= @t633 @t633) @t755)) % 33.98/34.36 (define @t757 () (tptp.k2_zfmisc_1 @t635 @t635)) % 33.98/34.36 (define @t758 () (tptp.m2_relset_1 @t633 @t757 @t635)) % 33.98/34.36 (define @t759 () (not @t758)) % 33.98/34.36 (define @t760 () (tptp.v1_funct_2 @t633 @t757 @t635)) % 33.98/34.36 (define @t761 () (not @t760)) % 33.98/34.36 (define @t762 () (tptp.v1_funct_1 @t633)) % 33.98/34.36 (define @t763 () (not @t762)) % 33.98/34.36 (define @t764 () (or @t342 @t341 @t339 @t337 @t763 @t761 @t759 @t756)) % 33.98/34.36 (define @t765 () (forall @t700 (or @t34 @t236 @t235 @t234 @t696 @t695 @t694 (= (= @t98 @t684) (forall @t691 (or @t689 @t232 @t688 @t687 (= @t686 @t685))))))) % 33.98/34.36 (define @t766 () (or @t342 @t341 @t339 @t337 @t763 @t761 @t759 @t755)) % 33.98/34.36 (define @t767 () (and @t762 @t760 @t758)) % 33.98/34.36 (define @t768 () (or @t342 @t341 @t339 @t337 @t767)) % 33.98/34.36 (define @t769 () (not @t767)) % 33.98/34.36 (define @t770 () (@list @t767)) % 33.98/34.36 (define @t771 () (@list true false false false false false false false)) % 33.98/34.36 (define @t772 () (tptp.m1_subset_1 @t251 @t635)) % 33.98/34.36 (define @t773 () (tptp.m1_subset_1 @t252 @t635)) % 33.98/34.36 (define @t774 () (tptp.k2_binop_1 @t635 @t635 @t635 @t633 @t252 @t251)) % 33.98/34.36 (define @t775 () (= @t347 @t774)) % 33.98/34.36 (define @t776 () (not @t772)) % 33.98/34.36 (define @t777 () (not @t773)) % 33.98/34.36 (define @t778 () (or @t777 @t335 @t776 @t331 @t775)) % 33.98/34.36 (define @t779 () (@list @t253 @t251 @t252)) % 33.98/34.36 (define @t780 () (tptp.r1_group_2 @t253 @t347 @t252)) % 33.98/34.36 (define @t781 () (tptp.m1_group_2 @t252 @t251)) % 33.98/34.36 (define @t782 () (= @t781 @t780)) % 33.98/34.36 (define @t783 () (or @t342 @t341 @t339 @t337 @t331 @t472 @t335 @t782)) % 33.98/34.36 (define @t784 () (@var "BOUND_VARIABLE_8621" $$unsorted)) % 33.98/34.36 (define @t785 () (= (tptp.m1_group_6 @t784 @t2 @t3) (tptp.m1_group_2 @t784 @t3))) % 33.98/34.36 (define @t786 () (or @t34 @t236 @t235 @t234 @t233 @t785)) % 33.98/34.36 (define @t787 () (@list @t784)) % 33.98/34.36 (define @t788 () (forall @t787 @t786)) % 33.98/34.36 (define @t789 () (forall @t787 @t785)) % 33.98/34.36 (define @t790 () (or @t34 @t236 @t235 @t234 @t233 @t789)) % 33.98/34.36 (define @t791 () (or @t34 @t236 @t235 @t234 @t233 @t169)) % 33.98/34.36 (define @t792 () (or @t238 @t236 @t235 @t234 @t233)) % 33.98/34.36 (define @t793 () (= @t326 @t781)) % 33.98/34.36 (define @t794 () (or @t342 @t341 @t339 @t337 @t331 @t793)) % 33.98/34.36 (define @t795 () (not @t793)) % 33.98/34.36 (define @t796 () (not @t326)) % 33.98/34.36 (define @t797 () (tptp.r1_lattices @t324 @t252 @t251)) % 33.98/34.36 (define @t798 () (= @t325 @t797)) % 33.98/34.36 (define @t799 () (or @t387 @t587 @t586 @t585 @t398 @t333 @t330 @t798)) % 33.98/34.36 (define @t800 () (not @t798)) % 33.98/34.36 (define @t801 () (not @t797)) % 33.98/34.36 (define @t802 () (not @t782)) % 33.98/34.36 (define @t803 () (not @t781)) % 33.98/34.36 (define @t804 () (@var "BOUND_VARIABLE_8744" $$unsorted)) % 33.98/34.36 (define @t805 () (@var "BOUND_VARIABLE_8742" $$unsorted)) % 33.98/34.36 (define @t806 () (= (tptp.r1_lattices @t2 @t805 @t804) (= @t805 (tptp.k2_lattices @t2 @t805 @t804)))) % 33.98/34.36 (define @t807 () (not (tptp.m1_subset_1 @t804 @t42))) % 33.98/34.36 (define @t808 () (not (tptp.m1_subset_1 @t805 @t42))) % 33.98/34.36 (define @t809 () (or @t808 @t807 @t806)) % 33.98/34.36 (define @t810 () (or @t34 @t573 @t572 @t571 @t809)) % 33.98/34.36 (define @t811 () (forall (@list @t2 @t805 @t804) @t810)) % 33.98/34.36 (define @t812 () (@list @t805 @t804)) % 33.98/34.36 (define @t813 () (forall @t812 @t810)) % 33.98/34.36 (define @t814 () (forall @t812 @t809)) % 33.98/34.36 (define @t815 () (@var "BOUND_VARIABLE_8722" $$unsorted)) % 33.98/34.36 (define @t816 () (or @t34 @t573 @t572 @t571 @t814)) % 33.98/34.36 (define @t817 () (= (tptp.r1_lattices @t2 @t3 @t815) (= @t3 (tptp.k2_lattices @t2 @t3 @t815)))) % 33.98/34.36 (define @t818 () (not (tptp.m1_subset_1 @t815 @t42))) % 33.98/34.36 (define @t819 () (or @t367 @t818 @t817)) % 33.98/34.36 (define @t820 () (@list @t3 @t815)) % 33.98/34.36 (define @t821 () (forall @t820 @t819)) % 33.98/34.36 (define @t822 () (or @t34 @t573 @t572 @t571 @t821)) % 33.98/34.36 (define @t823 () (or @t238 @t573 @t572 @t571)) % 33.98/34.36 (define @t824 () (or @t818 @t817)) % 33.98/34.36 (define @t825 () (or @t367 @t824)) % 33.98/34.36 (define @t826 () (forall @t820 @t825)) % 33.98/34.36 (define @t827 () (@list @t815)) % 33.98/34.36 (define @t828 () (forall @t827 @t825)) % 33.98/34.36 (define @t829 () (forall @t827 @t824)) % 33.98/34.36 (define @t830 () (or @t367 @t829)) % 33.98/34.36 (define @t831 () (= @t179 (= @t3 @t113))) % 33.98/34.36 (define @t832 () (forall @t25 (or @t379 @t831))) % 33.98/34.36 (define @t833 () (= @t252 @t405)) % 33.98/34.36 (define @t834 () (= @t797 @t833)) % 33.98/34.36 (define @t835 () (or @t387 @t586 @t585 @t398 @t333 @t330 @t834)) % 33.98/34.36 (define @t836 () (not @t834)) % 33.98/34.36 (define @t837 () (not @t833)) % 33.98/34.36 (define @t838 () (tptp.r1_group_2 @t253 @t346 @t252)) % 33.98/34.36 (define @t839 () (and @t348 @t780)) % 33.98/34.36 (define @t840 () (= @t838 (= @t346 @t252))) % 33.98/34.36 (define @t841 () (tptp.m1_group_2 @t346 @t253)) % 33.98/34.36 (define @t842 () (not @t841)) % 33.98/34.36 (define @t843 () (tptp.v1_group_1 @t346)) % 33.98/34.36 (define @t844 () (not @t843)) % 33.98/34.36 (define @t845 () (or @t342 @t341 @t339 @t337 @t844 @t842 @t472 @t335 @t840)) % 33.98/34.36 (define @t846 () (= @t252 @t346)) % 33.98/34.36 (define @t847 () (= @t838 @t846)) % 33.98/34.36 (define @t848 () (or @t342 @t341 @t339 @t337 @t844 @t842 @t472 @t335 @t847)) % 33.98/34.36 (define @t849 () (and @t843 @t841)) % 33.98/34.36 (define @t850 () (or @t342 @t341 @t339 @t337 @t331 @t335 @t849)) % 33.98/34.36 (define @t851 () (not @t849)) % 33.98/34.36 (define @t852 () (@list @t849)) % 33.98/34.36 (define @t853 () (not @t846)) % 33.98/34.36 (define @t854 () (not @t775)) % 33.98/34.36 (define @t855 () (not @t669)) % 33.98/34.36 (define @t856 () (not @t670)) % 33.98/34.36 (define @t857 () (not @t406)) % 33.98/34.36 (define @t858 () (not @t348)) % 33.98/34.36 (define @t859 () (and @t348 @t406 @t670 @t837 @t669 @t775)) % 33.98/34.36 (define @t860 () (@list true false)) % 33.98/34.36 (define @t861 () (not @t780)) % 33.98/34.36 (define @t862 () (not @t601)) % 33.98/34.36 (define @t863 () (and @t861 @t348 @t775 @t670 @t669 @t406 @t833 @t601 @t469)) % 33.98/34.36 (assume @p1 @t40) % 33.98/34.36 (assume @p2 (forall @t38 (=> @t31 (=> (tptp.v1_group_1 @t2) (= @t2 (tptp.g1_group_1 @t42 @t41)))))) % 33.98/34.36 (assume @p3 @t49) % 33.98/34.36 (assume @p4 (forall @t51 (=> @t50 (not (tptp.r2_hidden @t3 @t2))))) % 33.98/34.36 (assume @p5 (forall @t57 (=> @t56 (=> (and @t53 @t55) @t54)))) % 33.98/34.36 (assume @p6 (forall @t57 (=> @t60 @t58))) % 33.98/34.36 (assume @p7 (forall @t51 (=> @t62 (forall @t25 (=> @t56 (=> @t54 (and @t53 @t55 @t52))))))) % 33.98/34.36 (assume @p8 (forall @t51 (=> @t66 (forall @t25 (=> @t56 (=> @t54 (and @t53 (not @t63) @t55 @t52))))))) % 33.98/34.36 (assume @p9 (forall @t57 (=> @t72 (= @t67 (tptp.k4_lattices @t2 @t1 @t3))))) % 33.98/34.36 (assume @p10 @t77) % 33.98/34.36 (assume @p11 @t109) % 33.98/34.36 (assume @p12 @t112) % 33.98/34.36 (assume @p13 @t120) % 33.98/34.36 (assume @p14 (forall @t51 (=> @t125 (and (tptp.v1_group_1 @t121) (tptp.l1_group_1 @t121))))) % 33.98/34.36 (assume @p15 (forall @t57 (=> @t129 (and (tptp.v3_lattices @t126) (tptp.l3_lattices @t126))))) % 33.98/34.36 (assume @p16 @t131) % 33.98/34.36 (assume @p17 @t136) % 33.98/34.36 (assume @p18 true) % 33.98/34.36 (assume @p19 (forall @t139 (=> @t138 (tptp.m1_subset_1 @t137 @t1)))) % 33.98/34.36 (assume @p20 (forall @t57 (=> (and @t35 @t70 @t69 @t68) (tptp.m1_subset_1 @t113 @t42)))) % 33.98/34.36 (assume @p21 (forall @t57 (=> @t72 (tptp.m1_subset_1 @t67 @t42)))) % 33.98/34.36 (assume @p22 (forall @t57 (=> @t76 (and (tptp.v1_group_1 @t140) (tptp.m1_group_2 @t140 @t2))))) % 33.98/34.36 (assume @p23 @t142) % 33.98/34.36 (assume @p24 (forall @t38 (=> @t36 (and (tptp.v1_funct_1 @t110) (tptp.v1_funct_2 @t110 @t101 @t79) (tptp.m2_relset_1 @t110 @t101 @t79))))) % 33.98/34.36 (assume @p25 (forall @t38 (=> @t31 @t143))) % 33.98/34.36 (assume @p26 (forall @t38 (=> @t70 @t143))) % 33.98/34.36 (assume @p27 (forall @t38 (=> @t144 @t143))) % 33.98/34.36 (assume @p28 @t146) % 33.98/34.36 (assume @p29 (forall @t38 (=> @t147 (forall @t29 (=> @t27 (and (not (tptp.v3_struct_0 @t3)) (tptp.v3_group_1 @t3) (tptp.l1_group_1 @t3))))))) % 33.98/34.36 (assume @p30 (forall @t51 (=> @t149 (forall @t25 (=> @t148 @t23))))) % 33.98/34.36 (assume @p31 (forall @t57 (=> @t150 @t60))) % 33.98/34.36 (assume @p32 (forall @t38 (=> @t31 (and (tptp.v1_funct_1 @t41) (tptp.v1_funct_2 @t41 @t151 @t42) (tptp.m2_relset_1 @t41 @t151 @t42))))) % 33.98/34.36 (assume @p33 @t153) % 33.98/34.36 (assume @p34 @t155) % 33.98/34.36 (assume @p35 (exists @t38 @t31)) % 33.98/34.36 (assume @p36 (exists @t38 @t70)) % 33.98/34.36 (assume @p37 (exists @t38 @t143)) % 33.98/34.36 (assume @p38 (exists @t38 @t144)) % 33.98/34.36 (assume @p39 (exists @t38 @t48)) % 33.98/34.36 (assume @p40 (forall @t38 (=> @t147 (exists @t29 @t27)))) % 33.98/34.36 (assume @p41 (forall @t51 (=> @t149 (exists @t25 @t148)))) % 33.98/34.36 (assume @p42 (forall @t51 (exists @t25 @t56))) % 33.98/34.36 (assume @p43 (forall @t38 (exists @t29 (tptp.m1_subset_1 @t3 @t2)))) % 33.98/34.36 (assume @p44 (forall @t51 (exists @t25 @t150))) % 33.98/34.36 (assume @p45 (forall @t38 (=> @t36 (not (tptp.v1_xboole_0 @t79))))) % 33.98/34.36 (assume @p46 @t157) % 33.98/34.36 (assume @p47 (forall @t38 (=> @t158 (not (tptp.v1_xboole_0 @t42))))) % 33.98/34.36 (assume @p48 (forall @t38 (not (tptp.v1_xboole_0 @t159)))) % 33.98/34.36 (assume @p49 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 33.98/34.36 (assume @p50 (forall @t51 (=> @t66 (not (tptp.v1_xboole_0 @t59))))) % 33.98/34.36 (assume @p51 (forall @t51 (=> @t125 (forall (@list @t1 @t6) (=> (= @t121 (tptp.g1_group_1 @t1 @t6)) (and (= @t2 @t1) @t160)))))) % 33.98/34.36 (assume @p52 @t166) % 33.98/34.36 (assume @p53 (forall @t51 (exists @t25 (and @t56 @t58 @t53 @t52)))) % 33.98/34.36 (assume @p54 (forall @t38 (=> @t65 (exists @t29 (and @t167 @t62))))) % 33.98/34.36 (assume @p55 (exists @t38 @t64)) % 33.98/34.36 (assume @p56 (forall @t51 (exists @t25 (and @t56 @t58 @t53)))) % 33.98/34.36 (assume @p57 (forall @t38 (exists @t29 (and @t167 @t61)))) % 33.98/34.36 (assume @p58 (exists @t38 @t65)) % 33.98/34.36 (assume @p59 (exists @t38 (and @t143 @t35))) % 33.98/34.36 (assume @p60 (forall @t38 (=> @t158 (exists @t29 (and (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t42)) @t62))))) % 33.98/34.36 (assume @p61 (forall @t139 (=> @t138 (= @t137 (tptp.k1_binop_1 @t6 @t5 @t78))))) % 33.98/34.36 (assume @p62 (forall @t57 (=> @t72 (= @t67 @t113)))) % 33.98/34.36 (assume @p63 (forall @t57 (=> @t76 (= @t74 @t140)))) % 33.98/34.36 (assume @p64 @t170) % 33.98/34.36 (assume @p65 @t171) % 33.98/34.36 (assume @p66 @t178) % 33.98/34.36 (assume @p67 @t184) % 33.98/34.36 (assume @p68 (forall @t57 (=> @t177 (tptp.r1_group_2 @t2 @t3 @t3)))) % 33.98/34.36 (assume @p69 (forall @t51 (tptp.r1_tarski @t2 @t2))) % 33.98/34.36 (assume @p70 @t186) % 33.98/34.36 (assume @p71 (forall @t57 (=> @t177 (=> @t173 (tptp.r1_group_2 @t2 @t1 @t3))))) % 33.98/34.36 (assume @p72 @t193) % 33.98/34.36 (assume @p73 (forall @t51 (=> @t50 @t194))) % 33.98/34.36 (assume @p74 @t202) % 33.98/34.36 (assume @p75 @t209) % 33.98/34.36 (assume @p76 (forall @t51 (=> @t194 (or @t61 @t50)))) % 33.98/34.36 (assume @p77 @t223) % 33.98/34.36 (assume @p78 (forall @t51 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t3)) (tptp.r1_tarski @t2 @t3)))) % 33.98/34.36 (assume @p79 (forall @t57 (=> (and @t50 @t224) (tptp.m1_subset_1 @t2 @t1)))) % 33.98/34.36 (assume @p80 (forall @t57 (not (and @t50 @t224 @t63)))) % 33.98/34.36 (assume @p81 @t231) % 33.98/34.36 (assume @p82 (forall @t38 (=> @t64 (= @t2 tptp.k1_xboole_0)))) % 33.98/34.36 (assume @p83 (forall @t51 (not (and @t50 @t61)))) % 33.98/34.36 (assume @p84 (forall @t51 (not (and @t64 (not (= @t2 @t3)) @t61)))) % 33.98/34.36 (step @p85 :rule aci_norm :args ((= (or @t237 @t75) (or @t34 @t236 @t235 @t234 @t233 @t232 @t75)))) % 33.98/34.36 (step @p86 :rule refl :args (@t75)) % 33.98/34.36 (step @p87 :rule refl :args (@t232)) % 33.98/34.36 (step @p88 :rule refl :args (@t233)) % 33.98/34.36 (step @p89 :rule refl :args (@t234)) % 33.98/34.36 (step @p90 :rule refl :args (@t235)) % 33.98/34.36 (step @p91 :rule refl :args (@t236)) % 33.98/34.36 (step @p92 :rule bool-double-not-elim :args (@t34)) % 33.98/34.36 (step @p93 :rule nary_cong :premises (@p92 @p91 @p90 @p89 @p88 @p87) :args (@t239)) % 33.98/34.36 (step @p94 :rule aci_norm :args ((= (or @t238 (or @t236 (or @t235 (or @t234 (or @t233 @t232))))) @t239))) % 33.98/34.36 (step @p95 :rule trans :premises (@p94 @p93)) % 33.98/34.36 (step @p96 :rule bool-and-de-morgan :args (@t27 @t23 true)) % 33.98/34.36 (step @p97 :rule nary_cong :premises (@p89 @p96) :args ((or @t234 (not (and @t27 @t23))))) % 33.98/34.36 (step @p98 :rule bool-and-de-morgan :args (@t31 @t27 (and @t23))) % 33.98/34.36 (step @p99 :rule trans :premises (@p98 @p97)) % 33.98/34.36 (step @p100 :rule nary_cong :premises (@p90 @p99) :args ((or @t235 (not (and @t31 @t27 @t23))))) % 33.98/34.36 (step @p101 :rule bool-and-de-morgan :args (@t32 @t31 (and @t27 @t23))) % 33.98/34.36 (step @p102 :rule trans :premises (@p101 @p100)) % 33.98/34.36 (step @p103 :rule nary_cong :premises (@p91 @p102) :args ((or @t236 (not (and @t32 @t31 @t27 @t23))))) % 33.98/34.36 (step @p104 :rule bool-and-de-morgan :args (@t33 @t32 (and @t31 @t27 @t23))) % 33.98/34.36 (step @p105 :rule trans :premises (@p104 @p103)) % 33.98/34.36 (step @p106 :rule refl :args (@t238)) % 33.98/34.36 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t238 (not (and @t33 @t32 @t31 @t27 @t23))))) % 33.98/34.36 (step @p108 :rule bool-and-de-morgan :args (@t35 @t33 (and @t32 @t31 @t27 @t23))) % 33.98/34.36 (step @p109 :rule trans :premises (@p108 @p107)) % 33.98/34.36 (step @p110 :rule trans :premises (@p109 @p95)) % 33.98/34.36 (step @p111 :rule nary_cong :premises (@p110 @p86) :args ((or @t240 @t75))) % 33.98/34.36 (step @p112 :rule trans :premises (@p111 @p85)) % 33.98/34.36 (step @p113 :rule bool-impl-elim :args (@t76 @t75)) % 33.98/34.36 (step @p114 :rule trans :premises (@p113 @p112)) % 33.98/34.36 (step @p115 :rule cong :premises (@p114) :args (@t77)) % 33.98/34.36 (step @p116 :rule eq_resolve :premises (@p10 @p115)) % 33.98/34.36 (step @p117 :rule instantiate :premises (@p116) :args ((@list @t253 @t252 @t251))) % 33.98/34.36 (step @p118 :rule aci_norm :args ((= @t255 @t248))) % 33.98/34.36 (step @p119 :rule cong :premises (@p118) :args (@t256)) % 33.98/34.36 (step @p120 :rule quant-merge-prenex :args ((= (forall @t38 @t258) @t256))) % 33.98/34.36 (step @p121 :rule alpha_equiv :args (@t259 (@list @t242 @t241) (@list @t3 @t260))) % 33.98/34.36 (step @p122 :rule refl :args (@t34)) % 33.98/34.36 (step @p123 :rule nary_cong :premises (@p122 @p91 @p90 @p89 @p121) :args (@t261)) % 33.98/34.36 (step @p124 :rule quant-miniscope-or :args ((= @t258 @t261))) % 33.98/34.36 (step @p125 :rule trans :premises (@p124 @p123)) % 33.98/34.36 (step @p126 :rule symm :premises (@p125)) % 33.98/34.36 (step @p127 :rule cong :premises (@p126) :args ((forall @t38 @t269))) % 33.98/34.36 (step @p128 :rule trans :premises (@p127 @p120)) % 33.98/34.36 (step @p129 :rule trans :premises (@p128 @p119)) % 33.98/34.36 (step @p130 :rule aci_norm :args ((= (or @t270 @t268) @t269))) % 33.98/34.36 (step @p131 :rule refl :args (@t268)) % 33.98/34.36 (step @p132 :rule nary_cong :premises (@p92 @p91 @p90 @p89) :args (@t271)) % 33.98/34.36 (step @p133 :rule aci_norm :args ((= (or @t238 (or @t236 (or @t235 @t234))) @t271))) % 33.98/34.36 (step @p134 :rule trans :premises (@p133 @p132)) % 33.98/34.36 (step @p135 :rule bool-and-de-morgan :args (@t32 @t31 true)) % 33.98/34.36 (step @p136 :rule nary_cong :premises (@p91 @p135) :args ((or @t236 (not (and @t32 @t31))))) % 33.98/34.36 (step @p137 :rule bool-and-de-morgan :args (@t33 @t32 (and @t31))) % 33.98/34.36 (step @p138 :rule trans :premises (@p137 @p136)) % 33.98/34.36 (step @p139 :rule nary_cong :premises (@p106 @p138) :args ((or @t238 (not (and @t33 @t32 @t31))))) % 33.98/34.36 (step @p140 :rule bool-and-de-morgan :args (@t35 @t33 (and @t32 @t31))) % 33.98/34.36 (step @p141 :rule trans :premises (@p140 @p139)) % 33.98/34.36 (step @p142 :rule trans :premises (@p141 @p134)) % 33.98/34.36 (step @p143 :rule nary_cong :premises (@p142 @p131) :args ((or @t272 @t268))) % 33.98/34.36 (step @p144 :rule trans :premises (@p143 @p130)) % 33.98/34.36 (step @p145 :rule bool-impl-elim :args (@t36 @t268)) % 33.98/34.36 (step @p146 :rule trans :premises (@p145 @p144)) % 33.98/34.36 (step @p147 :rule cong :premises (@p146) :args ((forall @t38 (=> @t36 @t268)))) % 33.98/34.36 (step @p148 :rule trans :premises (@p147 @p129)) % 33.98/34.36 (step @p149 :rule aci_norm :args ((= @t274 @t266))) % 33.98/34.36 (step @p150 :rule cong :premises (@p149) :args (@t275)) % 33.98/34.36 (step @p151 :rule quant-merge-prenex :args ((= (forall @t29 @t277) @t275))) % 33.98/34.36 (step @p152 :rule alpha_equiv :args (@t278 (@list @t260) @t279)) % 33.98/34.36 (step @p153 :rule refl :args (@t265)) % 33.98/34.36 (step @p154 :rule nary_cong :premises (@p88 @p153 @p152) :args (@t280)) % 33.98/34.36 (step @p155 :rule quant-miniscope-or :args ((= @t277 @t280))) % 33.98/34.36 (step @p156 :rule trans :premises (@p155 @p154)) % 33.98/34.36 (step @p157 :rule symm :premises (@p156)) % 33.98/34.36 (step @p158 :rule cong :premises (@p157) :args ((forall @t29 @t286))) % 33.98/34.36 (step @p159 :rule trans :premises (@p158 @p151)) % 33.98/34.36 (step @p160 :rule trans :premises (@p159 @p150)) % 33.98/34.36 (step @p161 :rule aci_norm :args ((= (or @t233 @t287) @t286))) % 33.98/34.36 (step @p162 :rule bool-impl-elim :args (@t27 @t287)) % 33.98/34.36 (step @p163 :rule trans :premises (@p162 @p161)) % 33.98/34.36 (step @p164 :rule cong :premises (@p163) :args ((forall @t29 (=> @t27 @t287)))) % 33.98/34.36 (step @p165 :rule trans :premises (@p164 @p160)) % 33.98/34.36 (step @p166 :rule quant-miniscope-or :args ((= (forall @t25 @t288) @t287))) % 33.98/34.36 (step @p167 :rule aci_norm :args ((= @t289 @t288))) % 33.98/34.36 (step @p168 :rule cong :premises (@p167) :args ((forall @t25 @t289))) % 33.98/34.36 (step @p169 :rule trans :premises (@p168 @p166)) % 33.98/34.36 (step @p170 :rule aci_norm :args ((= (or @t232 @t290) @t289))) % 33.98/34.36 (step @p171 :rule bool-impl-elim :args (@t23 @t290)) % 33.98/34.36 (step @p172 :rule trans :premises (@p171 @p170)) % 33.98/34.36 (step @p173 :rule cong :premises (@p172) :args ((forall @t25 (=> @t23 @t290)))) % 33.98/34.36 (step @p174 :rule trans :premises (@p173 @p169)) % 33.98/34.36 (step @p175 :rule aci_norm :args ((= (or @t283 @t291) @t290))) % 33.98/34.36 (step @p176 :rule aci_norm :args ((= (or @t265 false @t282) @t291))) % 33.98/34.36 (step @p177 :rule refl :args (@t282)) % 33.98/34.36 (step @p178 :rule evaluate :args ((not true))) % 33.98/34.36 (step @p179 :rule eq-refl :args (@t3)) % 33.98/34.36 (step @p180 :rule cong :premises (@p179) :args (@t292)) % 33.98/34.36 (step @p181 :rule trans :premises (@p180 @p178)) % 33.98/34.36 (step @p182 :rule refl :args (@t265)) % 33.98/34.36 (step @p183 :rule nary_cong :premises (@p182 @p181 @p177) :args (@t293)) % 33.98/34.36 (step @p184 :rule trans :premises (@p183 @p176)) % 33.98/34.36 (step @p185 :rule quant-var-elim-eq :args ((= (forall @t21 (or @t298 @t297 @t296 @t295)) @t293))) % 33.98/34.36 (step @p186 :rule refl :args (@t295)) % 33.98/34.36 (step @p187 :rule refl :args (@t296)) % 33.98/34.36 (step @p188 :rule refl :args (@t297)) % 33.98/34.36 (step @p189 :rule eq-symm :args (@t3 @t6)) % 33.98/34.36 (step @p190 :rule cong :premises (@p189) :args (@t296)) % 33.98/34.36 (step @p191 :rule nary_cong :premises (@p190 @p188 @p187 @p186) :args (@t299)) % 33.98/34.36 (step @p192 :rule aci_norm :args ((= @t300 @t299))) % 33.98/34.36 (step @p193 :rule trans :premises (@p192 @p191)) % 33.98/34.36 (step @p194 :rule cong :premises (@p193) :args (@t301)) % 33.98/34.36 (step @p195 :rule trans :premises (@p194 @p185)) % 33.98/34.36 (step @p196 :rule trans :premises (@p195 @p184)) % 33.98/34.36 (step @p197 :rule refl :args (@t283)) % 33.98/34.36 (step @p198 :rule nary_cong :premises (@p197 @p196) :args (@t302)) % 33.98/34.36 (step @p199 :rule trans :premises (@p198 @p175)) % 33.98/34.36 (step @p200 :rule quant-miniscope-or :args ((= (forall @t21 @t303) @t302))) % 33.98/34.36 (step @p201 :rule aci_norm :args ((= @t304 @t303))) % 33.98/34.36 (step @p202 :rule cong :premises (@p201) :args ((forall @t21 @t304))) % 33.98/34.36 (step @p203 :rule trans :premises (@p202 @p200)) % 33.98/34.36 (step @p204 :rule trans :premises (@p203 @p199)) % 33.98/34.36 (step @p205 :rule aci_norm :args ((= (or @t297 @t305) @t304))) % 33.98/34.36 (step @p206 :rule bool-impl-elim :args (@t19 @t305)) % 33.98/34.36 (step @p207 :rule trans :premises (@p206 @p205)) % 33.98/34.36 (step @p208 :rule cong :premises (@p207) :args ((forall @t21 (=> @t19 @t305)))) % 33.98/34.36 (step @p209 :rule trans :premises (@p208 @p204)) % 33.98/34.36 (step @p210 :rule aci_norm :args ((= (or @t296 @t306) @t305))) % 33.98/34.36 (step @p211 :rule aci_norm :args ((= (or @t283 false @t295) @t306))) % 33.98/34.36 (step @p212 :rule eq-symm :args (@t294 @t4)) % 33.98/34.36 (step @p213 :rule eq-refl :args (@t1)) % 33.98/34.36 (step @p214 :rule cong :premises (@p213) :args (@t307)) % 33.98/34.36 (step @p215 :rule trans :premises (@p214 @p178)) % 33.98/34.36 (step @p216 :rule nary_cong :premises (@p197 @p215 @p212) :args (@t308)) % 33.98/34.36 (step @p217 :rule trans :premises (@p216 @p211)) % 33.98/34.36 (step @p218 :rule quant-var-elim-eq :args ((= (forall @t17 (or @t311 @t310 @t309 @t9)) @t308))) % 33.98/34.36 (step @p219 :rule refl :args (@t9)) % 33.98/34.36 (step @p220 :rule refl :args (@t309)) % 33.98/34.36 (step @p221 :rule refl :args (@t310)) % 33.98/34.36 (step @p222 :rule eq-symm :args (@t1 @t5)) % 33.98/34.36 (step @p223 :rule cong :premises (@p222) :args (@t309)) % 33.98/34.36 (step @p224 :rule nary_cong :premises (@p223 @p221 @p220 @p219) :args (@t312)) % 33.98/34.36 (step @p225 :rule aci_norm :args ((= @t313 @t312))) % 33.98/34.36 (step @p226 :rule trans :premises (@p225 @p224)) % 33.98/34.36 (step @p227 :rule cong :premises (@p226) :args (@t314)) % 33.98/34.36 (step @p228 :rule trans :premises (@p227 @p218)) % 33.98/34.36 (step @p229 :rule trans :premises (@p228 @p217)) % 33.98/34.36 (step @p230 :rule refl :args (@t296)) % 33.98/34.36 (step @p231 :rule nary_cong :premises (@p230 @p229) :args (@t315)) % 33.98/34.36 (step @p232 :rule trans :premises (@p231 @p210)) % 33.98/34.36 (step @p233 :rule quant-miniscope-or :args ((= (forall @t17 @t316) @t315))) % 33.98/34.36 (step @p234 :rule aci_norm :args ((= @t317 @t316))) % 33.98/34.36 (step @p235 :rule cong :premises (@p234) :args ((forall @t17 @t317))) % 33.98/34.36 (step @p236 :rule trans :premises (@p235 @p233)) % 33.98/34.36 (step @p237 :rule trans :premises (@p236 @p232)) % 33.98/34.36 (step @p238 :rule aci_norm :args ((= (or @t310 @t318) @t317))) % 33.98/34.36 (step @p239 :rule aci_norm :args ((= (or @t319 @t9) @t318))) % 33.98/34.36 (step @p240 :rule bool-and-de-morgan :args (@t160 @t83 true)) % 33.98/34.36 (step @p241 :rule nary_cong :premises (@p240 @p219) :args ((or @t321 @t9))) % 33.98/34.36 (step @p242 :rule trans :premises (@p241 @p239)) % 33.98/34.36 (step @p243 :rule bool-impl-elim :args (@t320 @t9)) % 33.98/34.36 (step @p244 :rule trans :premises (@p243 @p242)) % 33.98/34.36 (step @p245 :rule nary_cong :premises (@p221 @p244) :args ((or @t310 @t322))) % 33.98/34.36 (step @p246 :rule trans :premises (@p245 @p238)) % 33.98/34.36 (step @p247 :rule bool-impl-elim :args (@t15 @t322)) % 33.98/34.36 (step @p248 :rule trans :premises (@p247 @p246)) % 33.98/34.36 (step @p249 :rule cong :premises (@p248) :args ((forall @t17 (=> @t15 @t322)))) % 33.98/34.36 (step @p250 :rule trans :premises (@p249 @p237)) % 33.98/34.36 (step @p251 :rule refl :args (@t9)) % 33.98/34.36 (step @p252 :rule eq-symm :args (@t5 @t1)) % 33.98/34.36 (step @p253 :rule eq-symm :args (@t6 @t3)) % 33.98/34.36 (step @p254 :rule nary_cong :premises (@p253 @p252) :args (@t12)) % 33.98/34.36 (step @p255 :rule cong :premises (@p254 @p251) :args (@t13)) % 33.98/34.36 (step @p256 :rule refl :args (@t15)) % 33.98/34.36 (step @p257 :rule cong :premises (@p256 @p255) :args (@t16)) % 33.98/34.36 (step @p258 :rule cong :premises (@p257) :args (@t18)) % 33.98/34.36 (step @p259 :rule trans :premises (@p258 @p250)) % 33.98/34.36 (step @p260 :rule refl :args (@t19)) % 33.98/34.36 (step @p261 :rule cong :premises (@p260 @p259) :args (@t20)) % 33.98/34.36 (step @p262 :rule cong :premises (@p261) :args (@t22)) % 33.98/34.36 (step @p263 :rule trans :premises (@p262 @p209)) % 33.98/34.36 (step @p264 :rule refl :args (@t23)) % 33.98/34.36 (step @p265 :rule cong :premises (@p264 @p263) :args (@t24)) % 33.98/34.36 (step @p266 :rule cong :premises (@p265) :args (@t26)) % 33.98/34.36 (step @p267 :rule trans :premises (@p266 @p174)) % 33.98/34.36 (step @p268 :rule refl :args (@t27)) % 33.98/34.36 (step @p269 :rule cong :premises (@p268 @p267) :args (@t28)) % 33.98/34.36 (step @p270 :rule cong :premises (@p269) :args (@t30)) % 33.98/34.36 (step @p271 :rule trans :premises (@p270 @p165)) % 33.98/34.36 (step @p272 :rule refl :args (@t36)) % 33.98/34.36 (step @p273 :rule cong :premises (@p272 @p271) :args (@t37)) % 33.98/34.36 (step @p274 :rule cong :premises (@p273) :args (@t39)) % 33.98/34.36 (step @p275 :rule trans :premises (@p274 @p148)) % 33.98/34.36 (step @p276 :rule cong :premises (@p275) :args (@t40)) % 33.98/34.36 (step @p277 :rule eq_resolve :premises (@p1 @p276)) % 33.98/34.36 (step @p278 :rule skolemize :premises (@p277)) % 33.98/34.36 (step @p279 :rule bool-double-not-elim :args (@t323)) % 33.98/34.36 (step @p280 :rule refl :args (@t343)) % 33.98/34.36 (step @p281 :rule nary_cong :premises (@p280 @p279) :args ((or @t343 (not @t331)))) % 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:rule nary_cong :premises (@p92 @p717 @p716 @p715 @p714 @p342 @p713) :args (@t576)) % 33.98/34.36 (step @p719 :rule aci_norm :args ((= (or @t238 (or @t574 (or @t573 (or @t572 (or @t571 (or @t367 @t379)))))) @t576))) % 33.98/34.36 (step @p720 :rule trans :premises (@p719 @p718)) % 33.98/34.36 (step @p721 :rule bool-and-de-morgan :args (@t69 @t68 true)) % 33.98/34.36 (step @p722 :rule nary_cong :premises (@p714 @p721) :args ((or @t571 (not (and @t69 @t68))))) % 33.98/34.36 (step @p723 :rule bool-and-de-morgan :args (@t48 @t69 (and @t68))) % 33.98/34.36 (step @p724 :rule trans :premises (@p723 @p722)) % 33.98/34.36 (step @p725 :rule nary_cong :premises (@p715 @p724) :args ((or @t572 (not (and @t48 @t69 @t68))))) % 33.98/34.36 (step @p726 :rule bool-and-de-morgan :args (@t181 @t48 (and @t69 @t68))) % 33.98/34.36 (step @p727 :rule trans :premises (@p726 @p725)) % 33.98/34.36 (step @p728 :rule nary_cong :premises (@p716 @p727) :args ((or @t573 (not (and @t181 @t48 @t69 @t68))))) % 33.98/34.36 (step @p729 :rule bool-and-de-morgan :args (@t182 @t181 (and @t48 @t69 @t68))) % 33.98/34.36 (step @p730 :rule trans :premises (@p729 @p728)) % 33.98/34.36 (step @p731 :rule nary_cong :premises (@p717 @p730) :args ((or @t574 (not (and @t182 @t181 @t48 @t69 @t68))))) % 33.98/34.36 (step @p732 :rule bool-and-de-morgan :args (@t71 @t182 (and @t181 @t48 @t69 @t68))) % 33.98/34.36 (step @p733 :rule trans :premises (@p732 @p731)) % 33.98/34.36 (step @p734 :rule nary_cong :premises (@p106 @p733) :args ((or @t238 (not (and @t71 @t182 @t181 @t48 @t69 @t68))))) % 33.98/34.36 (step @p735 :rule bool-and-de-morgan :args (@t35 @t71 (and @t182 @t181 @t48 @t69 @t68))) % 33.98/34.36 (step @p736 :rule trans :premises (@p735 @p734)) % 33.98/34.36 (step @p737 :rule trans :premises (@p736 @p720)) % 33.98/34.36 (step @p738 :rule nary_cong :premises (@p737 @p712) :args ((or @t577 @t185))) % 33.98/34.36 (step @p739 :rule trans :premises (@p738 @p711)) % 33.98/34.36 (step @p740 :rule bool-impl-elim :args (@t183 @t185)) % 33.98/34.36 (step @p741 :rule trans :premises (@p740 @p739)) % 33.98/34.36 (step @p742 :rule cong :premises (@p741) :args (@t186)) % 33.98/34.36 (step @p743 :rule eq_resolve :premises (@p70 @p742)) % 33.98/34.36 (step @p744 :rule instantiate :premises (@p743) :args ((@list @t324 @t252 @t252))) % 33.98/34.36 (step @p745 :rule aci_norm :args ((= (or @t270 @t156) (or @t34 @t236 @t235 @t234 @t156)))) % 33.98/34.36 (step @p746 :rule refl :args (@t156)) % 33.98/34.36 (step @p747 :rule nary_cong :premises (@p142 @p746) :args ((or @t272 @t156))) % 33.98/34.36 (step @p748 :rule trans :premises (@p747 @p745)) % 33.98/34.36 (step @p749 :rule bool-impl-elim :args (@t36 @t156)) % 33.98/34.36 (step @p750 :rule trans :premises (@p749 @p748)) % 33.98/34.36 (step @p751 :rule cong :premises (@p750) :args (@t157)) % 33.98/34.36 (step @p752 :rule eq_resolve :premises (@p46 @p751)) % 33.98/34.36 (step @p753 :rule instantiate :premises (@p752) :args (@t383)) % 33.98/34.36 (step @p754 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chain_m_resolution :premises (@p764 @p756) :args (@t580 @t393 @t584)) % 33.98/34.36 (step @p766 :rule cnf_or_pos :args (@t588)) % 33.98/34.36 (step @p767 :rule factoring :premises (@p766)) % 33.98/34.36 (step @p768 :rule reordering :premises (@p767) :args ((or @t333 @t398 @t387 @t587 @t586 @t585 @t566 (not @t588)))) % 33.98/34.36 (step @p769 :rule chain_m_resolution :premises (@p768 @p404 @p383 @p392 @p765 @p762 @p759 @p744) :args (@t566 (@list false false true false false false false) (@list @t332 @t384 @t387 @t580 @t579 @t578 @t588))) % 33.98/34.36 (step @p770 :rule cnf_equiv_pos1 :args (@t569)) % 33.98/34.36 (step @p771 :rule reordering :premises (@p770) :args ((or @t565 (not @t566) (not @t569)))) % 33.98/34.36 (step @p772 :rule chain_m_resolution :premises (@p771 @p769 @p710) :args (@t565 @t400 (@list @t566 @t569))) % 33.98/34.36 (step @p773 :rule cnf_or_pos :args (@t590)) % 33.98/34.36 (step @p774 :rule factoring :premises (@p773)) % 33.98/34.36 (step @p775 :rule reordering :premises (@p774) :args ((or @t342 @t341 @t339 @t337 @t335 @t589 @t470 (not @t590)))) % 33.98/34.36 (step @p776 :rule chain_m_resolution :premises (@p775 @p311 @p309 @p303 @p297 @p291 @p772 @p570) :args (@t470 @t350 (@list @t342 @t340 @t338 @t336 @t334 @t565 @t590))) % 33.98/34.36 (step @p777 :rule cnf_equiv_pos1 :args (@t471)) % 33.98/34.36 (step @p778 :rule reordering :premises (@p777) :args ((or (not @t470) @t469 (not @t471)))) % 33.98/34.36 (step @p779 :rule chain_m_resolution :premises (@p778 @p776 @p522) :args (@t469 @t400 (@list @t470 @t471))) % 33.98/34.36 (step @p780 :rule aci_norm :args ((= (or (or @t34 @t236 @t235 @t234 @t591 @t233 @t437 @t232) @t174) @t592))) % 33.98/34.36 (step @p781 :rule refl :args (@t174)) % 33.98/34.36 (step @p782 :rule refl :args (@t437)) % 33.98/34.36 (step @p783 :rule refl :args (@t591)) % 33.98/34.36 (step @p784 :rule nary_cong :premises (@p92 @p91 @p90 @p89 @p783 @p88 @p782 @p87) :args (@t593)) % 33.98/34.36 (step @p785 :rule aci_norm :args ((= (or @t238 (or @t236 (or @t235 (or @t234 (or @t591 (or @t233 @t440)))))) @t593))) % 33.98/34.36 (step @p786 :rule trans :premises (@p785 @p784)) % 33.98/34.36 (step @p787 :rule nary_cong :premises (@p88 @p443) :args ((or @t233 @t441))) % 33.98/34.36 (step @p788 :rule bool-and-de-morgan :args (@t27 @t175 (and @t23))) % 33.98/34.36 (step @p789 :rule trans :premises (@p788 @p787)) % 33.98/34.36 (step @p790 :rule nary_cong :premises (@p783 @p789) :args ((or @t591 (not (and @t27 @t175 @t23))))) % 33.98/34.36 (step @p791 :rule bool-and-de-morgan :args (@t176 @t27 (and @t175 @t23))) % 33.98/34.36 (step @p792 :rule trans :premises (@p791 @p790)) % 33.98/34.36 (step @p793 :rule nary_cong :premises (@p89 @p792) :args ((or @t234 (not (and @t176 @t27 @t175 @t23))))) % 33.98/34.36 (step @p794 :rule bool-and-de-morgan :args (@t31 @t176 (and @t27 @t175 @t23))) % 33.98/34.36 (step @p795 :rule trans :premises (@p794 @p793)) % 33.98/34.36 (step @p796 :rule nary_cong :premises (@p90 @p795) :args ((or @t235 (not (and @t31 @t176 @t27 @t175 @t23))))) % 33.98/34.36 (step @p797 :rule bool-and-de-morgan :args (@t32 @t31 (and @t176 @t27 @t175 @t23))) % 33.98/34.36 (step @p798 :rule trans :premises (@p797 @p796)) % 33.98/34.36 (step @p799 :rule nary_cong :premises (@p91 @p798) :args ((or @t236 (not (and @t32 @t31 @t176 @t27 @t175 @t23))))) % 33.98/34.36 (step @p800 :rule bool-and-de-morgan :args (@t33 @t32 (and @t31 @t176 @t27 @t175 @t23))) % 33.98/34.36 (step @p801 :rule trans :premises (@p800 @p799)) % 33.98/34.36 (step @p802 :rule nary_cong :premises (@p106 @p801) :args ((or @t238 (not (and @t33 @t32 @t31 @t176 @t27 @t175 @t23))))) % 33.98/34.36 (step @p803 :rule bool-and-de-morgan :args (@t35 @t33 (and @t32 @t31 @t176 @t27 @t175 @t23))) % 33.98/34.36 (step @p804 :rule trans :premises (@p803 @p802)) % 33.98/34.36 (step @p805 :rule trans :premises (@p804 @p786)) % 33.98/34.36 (step @p806 :rule nary_cong :premises (@p805 @p781) :args ((or (not @t177) @t174))) % 33.98/34.36 (step @p807 :rule trans :premises (@p806 @p780)) % 33.98/34.36 (step @p808 :rule bool-impl-elim :args (@t177 @t174)) % 33.98/34.36 (step @p809 :rule trans :premises (@p808 @p807)) % 33.98/34.36 (step @p810 :rule cong :premises (@p809) :args (@t178)) % 33.98/34.36 (step @p811 :rule eq_resolve :premises (@p66 @p810)) % 33.98/34.36 (step @p812 :rule eq-symm :args (@t468 @t252)) % 33.98/34.36 (step @p813 :rule refl :args (@t469)) % 33.98/34.36 (step @p814 :rule cong :premises (@p813 @p812) :args (@t594)) % 33.98/34.36 (step @p815 :rule refl :args (@t472)) % 33.98/34.36 (step @p816 :rule refl :args (@t596)) % 33.98/34.36 (step @p817 :rule refl :args (@t598)) % 33.98/34.36 (step @p818 :rule nary_cong :premises (@p696 @p695 @p694 @p693 @p817 @p816 @p815 @p692 @p814) :args (@t599)) % 33.98/34.36 (step @p819 :rule refl :args (@t600)) % 33.98/34.36 (step @p820 :rule cong :premises (@p819 @p818) :args ((=> @t600 @t599))) % 33.98/34.36 (assume-push @p1533 @t600) % 33.98/34.36 (step @p822 :rule instantiate :premises (@p811) :args ((@list @t253 @t468 @t252))) % 33.98/34.36 (step-pop @p1534 :rule scope :premises (@p822)) % 33.98/34.36 (step @p823 :rule process_scope :premises (@p1534) :args (@t599)) % 33.98/34.36 (step @p825 :rule eq_resolve :premises (@p823 @p820)) % 33.98/34.36 (step @p826 :rule implies_elim :premises (@p825)) % 33.98/34.36 (step @p827 :rule chain_m_resolution :premises (@p826 @p811) :args (@t603 @t393 @t604)) % 33.98/34.36 (step @p828 :rule aci_norm :args ((= (or @t237 @t141) (or @t34 @t236 @t235 @t234 @t233 @t232 @t141)))) % 33.98/34.36 (step @p829 :rule refl :args (@t141)) % 33.98/34.36 (step @p830 :rule nary_cong :premises (@p110 @p829) :args ((or @t240 @t141))) % 33.98/34.36 (step @p831 :rule trans :premises (@p830 @p828)) % 33.98/34.36 (step @p832 :rule bool-impl-elim :args (@t76 @t141)) % 33.98/34.36 (step @p833 :rule trans :premises (@p832 @p831)) % 33.98/34.36 (step @p834 :rule cong :premises (@p833) :args (@t142)) % 33.98/34.36 (step @p835 :rule eq_resolve :premises (@p23 @p834)) % 33.98/34.36 (step @p836 :rule instantiate :premises (@p835) :args (@t442)) % 33.98/34.36 (step @p837 :rule cnf_or_pos :args (@t606)) % 33.98/34.36 (step @p838 :rule factoring :premises (@p837)) % 33.98/34.36 (step @p839 :rule reordering :premises (@p838) :args ((or @t342 @t341 @t339 @t337 @t335 @t605 (not @t606)))) % 33.98/34.36 (step @p840 :rule chain_m_resolution :premises (@p839 @p311 @p309 @p303 @p297 @p291 @p836) :args (@t605 @t607 (@list @t342 @t340 @t338 @t336 @t334 @t606))) % 33.98/34.36 (step @p841 :rule cnf_and_pos :args (@t605 1)) % 33.98/34.36 (step @p842 :rule reordering :premises (@p841) :args ((or @t595 @t608))) % 33.98/34.36 (step @p843 :rule chain_m_resolution :premises (@p842 @p840) :args (@t595 @t393 @t609)) % 33.98/34.36 (step @p844 :rule cnf_and_pos :args (@t605 0)) % 33.98/34.36 (step @p845 :rule reordering :premises (@p844) :args ((or @t597 @t608))) % 33.98/34.36 (step @p846 :rule chain_m_resolution :premises (@p845 @p840) :args (@t597 @t393 @t609)) % 33.98/34.36 (step @p847 :rule cnf_or_pos :args (@t603)) % 33.98/34.36 (step @p848 :rule reordering :premises (@p847) :args ((or @t342 @t341 @t339 @t337 @t335 @t472 @t598 @t596 @t602 (not @t603)))) % 33.98/34.36 (step @p849 :rule chain_m_resolution :premises (@p848 @p311 @p309 @p303 @p297 @p291 @p518 @p846 @p843 @p827) :args (@t602 @t610 (@list @t342 @t340 @t338 @t336 @t334 @t465 @t597 @t595 @t603))) % 33.98/34.36 (step @p850 :rule cnf_equiv_pos1 :args (@t602)) % 33.98/34.36 (step @p851 :rule reordering :premises (@p850) :args ((or @t611 @t601 (not @t602)))) % 33.98/34.36 (step @p852 :rule chain_m_resolution :premises (@p851 @p779 @p849) :args (@t601 @t400 (@list @t469 @t602))) % 33.98/34.36 (step @p853 :rule aci_norm :args ((= @t624 (or @t622 @t621 @t620 @t619 @t618 @t617 @t616 @t615)))) % 33.98/34.36 (step @p854 :rule cong :premises (@p853) :args (@t625)) % 33.98/34.36 (step @p855 :rule quant-merge-prenex :args ((= (forall @t57 @t627) @t625))) % 33.98/34.36 (step @p856 :rule alpha_equiv :args (@t628 (@list @t614 @t613 @t612) (@list @t6 @t5 @t78))) % 33.98/34.36 (step @p857 :rule refl :args (@t617)) % 33.98/34.36 (step @p858 :rule refl :args (@t618)) % 33.98/34.36 (step @p859 :rule refl :args (@t619)) % 33.98/34.36 (step @p860 :rule refl :args (@t620)) % 33.98/34.36 (step @p861 :rule refl :args (@t621)) % 33.98/34.36 (step @p862 :rule refl :args (@t622)) % 33.98/34.36 (step @p863 :rule nary_cong :premises (@p862 @p861 @p860 @p859 @p858 @p857 @p856) :args (@t629)) % 33.98/34.36 (step @p864 :rule quant-miniscope-or :args ((= @t627 @t629))) % 33.98/34.36 (step @p865 :rule trans :premises (@p864 @p863)) % 33.98/34.36 (step @p866 :rule symm :premises (@p865)) % 33.98/34.36 (step @p867 :rule cong :premises (@p866) :args ((forall @t57 @t631))) % 33.98/34.36 (step @p868 :rule trans :premises (@p867 @p855)) % 33.98/34.36 (step @p869 :rule trans :premises (@p868 @p854)) % 33.98/34.36 (step @p870 :rule aci_norm :args ((= (or @t632 @t630) @t631))) % 33.98/34.36 (step @p871 :rule refl :args (@t630)) % 33.98/34.36 (step @p872 :rule aci_norm :args ((= (or @t622 (or @t621 (or @t620 (or @t619 (or @t618 @t617))))) @t632))) % 33.98/34.36 (step @p873 :rule bool-and-de-morgan :args (@t128 @t127 true)) % 33.98/34.36 (step @p874 :rule nary_cong :premises (@p859 @p873) :args ((or @t619 (not (and @t128 @t127))))) % 33.98/34.36 (step @p875 :rule bool-and-de-morgan :args (@t53 @t128 (and @t127))) % 33.98/34.36 (step @p876 :rule trans :premises (@p875 @p874)) % 33.98/34.36 (step @p877 :rule nary_cong :premises (@p860 @p876) :args ((or @t620 (not (and @t53 @t128 @t127))))) % 33.98/34.36 (step @p878 :rule bool-and-de-morgan :args (@t123 @t53 (and @t128 @t127))) % 33.98/34.36 (step @p879 :rule trans :premises (@p878 @p877)) % 33.98/34.36 (step @p880 :rule nary_cong :premises (@p861 @p879) :args ((or @t621 (not (and @t123 @t53 @t128 @t127))))) % 33.98/34.36 (step @p881 :rule bool-and-de-morgan :args (@t124 @t123 (and @t53 @t128 @t127))) % 33.98/34.36 (step @p882 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(@t81)) % 33.98/34.36 (step @p1115 :rule refl :args (@t746)) % 33.98/34.36 (step @p1116 :rule refl :args (@t747)) % 33.98/34.36 (step @p1117 :rule eq-symm :args (@t6 @t78)) % 33.98/34.36 (step @p1118 :rule cong :premises (@p1117) :args (@t746)) % 33.98/34.36 (step @p1119 :rule nary_cong :premises (@p1118 @p1116 @p1115 @p1114) :args (@t748)) % 33.98/34.36 (step @p1120 :rule aci_norm :args ((= @t749 @t748))) % 33.98/34.36 (step @p1121 :rule trans :premises (@p1120 @p1119)) % 33.98/34.36 (step @p1122 :rule cong :premises (@p1121) :args (@t750)) % 33.98/34.36 (step @p1123 :rule trans :premises (@p1122 @p1113)) % 33.98/34.36 (step @p1124 :rule trans :premises (@p1123 @p1112)) % 33.98/34.36 (step @p1125 :rule refl :args (@t309)) % 33.98/34.36 (step @p1126 :rule nary_cong :premises (@p1125 @p1124) :args (@t751)) % 33.98/34.36 (step @p1127 :rule trans :premises (@p1126 @p1105)) % 33.98/34.36 (step @p1128 :rule quant-miniscope-or :args ((= (forall @t87 @t752) @t751))) % 33.98/34.36 (step @p1129 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bool-impl-elim :args (@t86 @t85)) % 33.98/34.36 (step @p1143 :rule trans :premises (@p1142 @p1141)) % 33.98/34.36 (step @p1144 :rule cong :premises (@p1143) :args (@t88)) % 33.98/34.36 (step @p1145 :rule trans :premises (@p1144 @p1132)) % 33.98/34.36 (step @p1146 :rule refl :args (@t89)) % 33.98/34.36 (step @p1147 :rule cong :premises (@p1146 @p1145) :args (@t90)) % 33.98/34.36 (step @p1148 :rule cong :premises (@p1147) :args (@t91)) % 33.98/34.36 (step @p1149 :rule trans :premises (@p1148 @p1104)) % 33.98/34.36 (step @p1150 :rule refl :args (@t92)) % 33.98/34.36 (step @p1151 :rule cong :premises (@p1150 @p1149) :args (@t93)) % 33.98/34.36 (step @p1152 :rule cong :premises (@p1151) :args (@t94)) % 33.98/34.36 (step @p1153 :rule trans :premises (@p1152 @p1077)) % 33.98/34.36 (step @p1154 :rule refl :args (@t95)) % 33.98/34.36 (step @p1155 :rule cong :premises (@p1154 @p1153) :args (@t96)) % 33.98/34.36 (step @p1156 :rule cong :premises (@p1155) :args (@t97)) % 33.98/34.36 (step @p1157 :rule trans :premises (@p1156 @p1068)) % 33.98/34.36 (step @p1158 :rule refl :args (@t99)) % 33.98/34.36 (step @p1159 :rule cong :premises (@p1158 @p1157) :args (@t100)) % 33.98/34.36 (step @p1160 :rule refl :args (@t105)) % 33.98/34.36 (step @p1161 :rule cong :premises (@p1160 @p1159) :args (@t106)) % 33.98/34.36 (step @p1162 :rule cong :premises (@p1161) :args (@t107)) % 33.98/34.36 (step @p1163 :rule trans :premises (@p1162 @p1051)) % 33.98/34.36 (step @p1164 :rule cong :premises (@p272 @p1163) :args (@t108)) % 33.98/34.36 (step @p1165 :rule cong :premises (@p1164) :args (@t109)) % 33.98/34.36 (step @p1166 :rule trans :premises (@p1165 @p1038)) % 33.98/34.36 (step @p1167 :rule eq_resolve :premises (@p11 @p1166)) % 33.98/34.36 (step @p1168 :rule bool-eq-true :args (@t755)) % 33.98/34.36 (step @p1169 :rule eq-symm :args (true @t755)) % 33.98/34.36 (step @p1170 :rule trans :premises (@p1169 @p1168)) % 33.98/34.36 (step @p1171 :rule refl :args (@t755)) % 33.98/34.36 (step @p1172 :rule eq-refl :args (@t633)) % 33.98/34.36 (step @p1173 :rule cong :premises (@p1172 @p1171) :args (@t756)) % 33.98/34.36 (step @p1174 :rule trans :premises (@p1173 @p1170)) % 33.98/34.36 (step @p1175 :rule refl :args (@t759)) % 33.98/34.36 (step @p1176 :rule refl :args (@t761)) % 33.98/34.36 (step @p1177 :rule refl :args (@t763)) % 33.98/34.36 (step @p1178 :rule nary_cong :premises (@p696 @p695 @p694 @p693 @p1177 @p1176 @p1175 @p1174) :args (@t764)) % 33.98/34.36 (step @p1179 :rule refl :args (@t765)) % 33.98/34.36 (step @p1180 :rule cong :premises (@p1179 @p1178) :args ((=> @t765 @t764))) % 33.98/34.36 (assume-push @p1539 @t765) % 33.98/34.36 (step @p1182 :rule instantiate :premises (@p1167) :args ((@list @t253 @t633))) % 33.98/34.36 (step-pop @p1540 :rule scope :premises (@p1182)) % 33.98/34.36 (step @p1183 :rule process_scope :premises (@p1540) :args (@t764)) % 33.98/34.36 (step @p1185 :rule eq_resolve :premises (@p1183 @p1180)) % 33.98/34.36 (step @p1186 :rule implies_elim :premises (@p1185)) % 33.98/34.36 (step @p1187 :rule chain_m_resolution :premises (@p1186 @p1167) :args (@t766 @t393 (@list @t765))) % 33.98/34.36 (step @p1188 :rule aci_norm :args ((= (or @t270 @t130) (or @t34 @t236 @t235 @t234 @t130)))) % 33.98/34.36 (step @p1189 :rule refl :args (@t130)) % 33.98/34.36 (step @p1190 :rule nary_cong :premises (@p142 @p1189) :args ((or @t272 @t130))) % 33.98/34.36 (step @p1191 :rule trans :premises (@p1190 @p1188)) % 33.98/34.36 (step @p1192 :rule bool-impl-elim :args (@t36 @t130)) % 33.98/34.36 (step @p1193 :rule trans :premises (@p1192 @p1191)) % 33.98/34.36 (step @p1194 :rule cong :premises (@p1193) :args (@t131)) % 33.98/34.36 (step @p1195 :rule eq_resolve :premises (@p16 @p1194)) % 33.98/34.36 (step @p1196 :rule instantiate :premises (@p1195) :args (@t383)) % 33.98/34.36 (step @p1197 :rule cnf_or_pos :args (@t768)) % 33.98/34.36 (step @p1198 :rule reordering :premises (@p1197) :args ((or @t342 @t341 @t339 @t337 @t767 (not @t768)))) % 33.98/34.36 (step @p1199 :rule chain_m_resolution :premises (@p1198 @p311 @p309 @p303 @p297 @p1196) :args (@t767 @t391 (@list @t342 @t340 @t338 @t336 @t768))) % 33.98/34.36 (step @p1200 :rule cnf_and_pos :args (@t767 2)) % 33.98/34.36 (step @p1201 :rule reordering :premises (@p1200) :args ((or @t758 @t769))) % 33.98/34.36 (step @p1202 :rule chain_m_resolution :premises (@p1201 @p1199) :args (@t758 @t393 @t770)) % 33.98/34.36 (step @p1203 :rule cnf_and_pos :args (@t767 1)) % 33.98/34.36 (step @p1204 :rule reordering :premises (@p1203) :args ((or @t760 @t769))) % 33.98/34.36 (step @p1205 :rule chain_m_resolution :premises (@p1204 @p1199) :args (@t760 @t393 @t770)) % 33.98/34.36 (step @p1206 :rule cnf_and_pos :args (@t767 0)) % 33.98/34.36 (step @p1207 :rule reordering :premises (@p1206) :args ((or @t762 @t769))) % 33.98/34.36 (step @p1208 :rule chain_m_resolution :premises (@p1207 @p1199) :args (@t762 @t393 @t770)) % 33.98/34.36 (step @p1209 :rule cnf_or_pos :args (@t766)) % 33.98/34.36 (step @p1210 :rule reordering :premises (@p1209) :args ((or @t342 @t341 @t339 @t337 @t763 @t761 @t759 @t755 (not @t766)))) % 33.98/34.36 (step @p1211 :rule chain_m_resolution :premises (@p1210 @p311 @p309 @p303 @p297 @p1208 @p1205 @p1202 @p1187) :args (@t755 @t771 (@list @t342 @t340 @t338 @t336 @t762 @t760 @t758 @t766))) % 33.98/34.36 (step @p1212 :rule instantiate :premises (@p1211) :args ((@list @t252 @t251))) % 33.98/34.36 (step @p1213 :rule true_intro :premises (@p398)) % 33.98/34.36 (step @p1214 :rule symm :premises (@p998)) % 33.98/34.36 (step @p1215 :rule refl :args (@t251)) % 33.98/34.36 (step @p1216 :rule cong :premises (@p1215 @p1214) :args (@t772)) % 33.98/34.36 (step @p1217 :rule trans :premises (@p1216 @p1213)) % 33.98/34.36 (step @p1218 :rule true_elim :premises (@p1217)) % 33.98/34.36 (step @p1219 :rule true_intro :premises (@p404)) % 33.98/34.36 (step @p1220 :rule refl :args (@t252)) % 33.98/34.36 (step @p1221 :rule cong :premises (@p1220 @p1214) :args (@t773)) % 33.98/34.36 (step @p1222 :rule trans :premises (@p1221 @p1219)) % 33.98/34.36 (step @p1223 :rule true_elim :premises (@p1222)) % 33.98/34.36 (step @p1224 :rule cnf_or_pos :args (@t778)) % 33.98/34.36 (step @p1225 :rule reordering :premises (@p1224) :args ((or @t335 @t331 @t777 @t776 @t775 (not @t778)))) % 33.98/34.36 (step @p1226 :rule chain_m_resolution :premises (@p1225 @p291 @p285 @p1223 @p1218 @p1212) :args (@t775 (@list false false false false false) (@list @t334 @t323 @t773 @t772 @t778))) % 33.98/34.36 (step @p1227 :rule instantiate :premises (@p455) :args (@t779)) % 33.98/34.36 (step @p1228 :rule cnf_or_pos :args (@t783)) % 33.98/34.36 (step @p1229 :rule reordering :premises (@p1228) :args ((or @t342 @t341 @t339 @t337 @t335 @t331 @t472 @t782 (not @t783)))) % 33.98/34.36 (step @p1230 :rule chain_m_resolution :premises (@p1229 @p311 @p309 @p303 @p297 @p291 @p285 @p518 @p1227) :args (@t782 @t771 (@list @t342 @t340 @t338 @t336 @t334 @t323 @t465 @t783))) % 33.98/34.36 (step @p1231 :rule quant-merge-prenex :args ((= (forall @t51 @t788) (forall (@list @t2 @t3 @t784) @t786)))) % 33.98/34.36 (step @p1232 :rule alpha_equiv :args (@t789 (@list @t784) @t279)) % 33.98/34.36 (step @p1233 :rule nary_cong :premises (@p122 @p91 @p90 @p89 @p88 @p1232) :args (@t790)) % 33.98/34.36 (step @p1234 :rule quant-miniscope-or :args ((= @t788 @t790))) % 33.98/34.36 (step @p1235 :rule trans :premises (@p1234 @p1233)) % 33.98/34.36 (step @p1236 :rule symm :premises (@p1235)) % 33.98/34.36 (step @p1237 :rule cong :premises (@p1236) :args ((forall @t51 @t791))) % 33.98/34.36 (step @p1238 :rule trans :premises (@p1237 @p1231)) % 33.98/34.36 (step @p1239 :rule aci_norm :args ((= (or (or @t34 @t236 @t235 @t234 @t233) @t169) @t791))) % 33.98/34.36 (step @p1240 :rule refl :args (@t169)) % 33.98/34.36 (step @p1241 :rule nary_cong :premises (@p92 @p91 @p90 @p89 @p88) :args (@t792)) % 33.98/34.36 (step @p1242 :rule aci_norm :args ((= (or @t238 (or @t236 (or @t235 (or @t234 @t233)))) @t792))) % 33.98/34.36 (step @p1243 :rule trans :premises (@p1242 @p1241)) % 33.98/34.36 (step @p1244 :rule bool-and-de-morgan :args (@t31 @t27 true)) % 33.98/34.36 (step @p1245 :rule nary_cong :premises (@p90 @p1244) :args ((or @t235 (not (and @t31 @t27))))) % 33.98/34.36 (step @p1246 :rule bool-and-de-morgan :args (@t32 @t31 (and @t27))) % 33.98/34.36 (step @p1247 :rule trans :premises (@p1246 @p1245)) % 33.98/34.36 (step @p1248 :rule nary_cong :premises (@p91 @p1247) :args ((or @t236 (not (and @t32 @t31 @t27))))) % 33.98/34.36 (step @p1249 :rule bool-and-de-morgan :args (@t33 @t32 (and @t31 @t27))) % 33.98/34.36 (step @p1250 :rule trans :premises (@p1249 @p1248)) % 33.98/34.36 (step @p1251 :rule nary_cong :premises (@p106 @p1250) :args ((or @t238 (not (and @t33 @t32 @t31 @t27))))) % 33.98/34.36 (step @p1252 :rule bool-and-de-morgan :args (@t35 @t33 (and @t32 @t31 @t27))) % 33.98/34.36 (step @p1253 :rule trans :premises (@p1252 @p1251)) % 33.98/34.36 (step @p1254 :rule trans :premises (@p1253 @p1243)) % 33.98/34.36 (step @p1255 :rule nary_cong :premises (@p1254 @p1240) :args ((or (not @t149) @t169))) % 33.98/34.36 (step @p1256 :rule trans :premises (@p1255 @p1239)) % 33.98/34.36 (step @p1257 :rule bool-impl-elim :args (@t149 @t169)) % 33.98/34.36 (step @p1258 :rule trans :premises (@p1257 @p1256)) % 33.98/34.36 (step @p1259 :rule cong :premises (@p1258) :args (@t170)) % 33.98/34.36 (step @p1260 :rule trans :premises (@p1259 @p1238)) % 33.98/34.36 (step @p1261 :rule eq_resolve :premises (@p64 @p1260)) % 33.98/34.36 (step @p1262 :rule instantiate :premises (@p1261) :args (@t779)) % 33.98/34.36 (step @p1263 :rule cnf_or_pos :args (@t794)) % 33.98/34.36 (step @p1264 :rule reordering :premises (@p1263) :args ((or @t342 @t341 @t339 @t337 @t331 @t793 (not @t794)))) % 33.98/34.36 (step @p1265 :rule chain_m_resolution :premises (@p1264 @p311 @p309 @p303 @p297 @p285 @p1262) :args (@t793 @t607 (@list @t342 @t340 @t338 @t336 @t323 @t794))) % 33.98/34.36 (step @p1266 :rule cnf_or_neg :args (@t343 8)) % 33.98/34.36 (step @p1267 :rule chain_m_resolution :premises (@p1266 @p278) :args ((not @t327) @t344 @t345)) % 33.98/34.36 (step @p1268 :rule cnf_equiv_neg2 :args (@t327)) % 33.98/34.36 (step @p1269 :rule cnf_equiv_pos1 :args (@t793)) % 33.98/34.36 (step @p1270 :rule reordering :premises (@p1269) :args ((or @t796 @t781 @t795))) % 33.98/34.36 (step @p1271 :rule aci_norm :args ((= (or @t575 @t180) (or @t34 @t574 @t573 @t572 @t571 @t367 @t379 @t180)))) % 33.98/34.36 (step @p1272 :rule refl :args (@t180)) % 33.98/34.36 (step @p1273 :rule nary_cong :premises (@p737 @p1272) :args ((or @t577 @t180))) % 33.98/34.36 (step @p1274 :rule trans :premises (@p1273 @p1271)) % 33.98/34.36 (step @p1275 :rule bool-impl-elim :args (@t183 @t180)) % 33.98/34.36 (step @p1276 :rule trans :premises (@p1275 @p1274)) % 33.98/34.36 (step @p1277 :rule cong :premises (@p1276) :args (@t184)) % 33.98/34.36 (step @p1278 :rule eq_resolve :premises (@p67 @p1277)) % 33.98/34.36 (step @p1279 :rule instantiate :premises (@p1278) :args (@t381)) % 33.98/34.36 (step @p1280 :rule cnf_or_pos :args (@t799)) % 33.98/34.36 (step @p1281 :rule reordering :premises (@p1280) :args ((or @t333 @t330 @t398 @t387 @t587 @t586 @t585 @t798 (not @t799)))) % 33.98/34.36 (step @p1282 :rule chain_m_resolution :premises (@p1281 @p404 @p398 @p383 @p392 @p765 @p762 @p759 @p1279) :args (@t798 (@list false false false true false false false false) (@list @t332 @t329 @t384 @t387 @t580 @t579 @t578 @t799))) % 33.98/34.36 (step @p1283 :rule cnf_equiv_pos2 :args (@t798)) % 33.98/34.36 (step @p1284 :rule reordering :premises (@p1283) :args ((or @t325 @t801 @t800))) % 33.98/34.36 (step @p1285 :rule cnf_equiv_pos1 :args (@t782)) % 33.98/34.36 (step @p1286 :rule reordering :premises (@p1285) :args ((or @t803 @t780 @t802))) % 33.98/34.36 (step @p1287 :rule aci_norm :args ((= @t810 (or @t34 @t573 @t572 @t571 @t808 @t807 @t806)))) % 33.98/34.36 (step @p1288 :rule cong :premises (@p1287) :args (@t811)) % 33.98/34.36 (step @p1289 :rule quant-merge-prenex :args ((= (forall @t38 @t813) @t811))) % 33.98/34.36 (step @p1290 :rule alpha_equiv :args (@t814 (@list @t805 @t804) (@list @t3 @t815))) % 33.98/34.36 (step @p1291 :rule nary_cong :premises (@p122 @p716 @p715 @p714 @p1290) :args (@t816)) % 33.98/34.36 (step @p1292 :rule quant-miniscope-or :args ((= @t813 @t816))) % 33.98/34.36 (step @p1293 :rule trans :premises (@p1292 @p1291)) % 33.98/34.36 (step @p1294 :rule symm :premises (@p1293)) % 33.98/34.36 (step @p1295 :rule cong :premises (@p1294) :args ((forall @t38 @t822))) % 33.98/34.36 (step @p1296 :rule trans :premises (@p1295 @p1289)) % 33.98/34.36 (step @p1297 :rule trans :premises (@p1296 @p1288)) % 33.98/34.36 (step @p1298 :rule aci_norm :args ((= (or (or @t34 @t573 @t572 @t571) @t821) @t822))) % 33.98/34.36 (step @p1299 :rule refl :args (@t821)) % 33.98/34.36 (step @p1300 :rule nary_cong :premises (@p92 @p716 @p715 @p714) :args (@t823)) % 33.98/34.36 (step @p1301 :rule aci_norm :args ((= (or @t238 (or @t573 (or @t572 @t571))) @t823))) % 33.98/34.36 (step @p1302 :rule trans :premises (@p1301 @p1300)) % 33.98/34.36 (step @p1303 :rule bool-and-de-morgan :args (@t181 @t48 true)) % 33.98/34.36 (step @p1304 :rule nary_cong :premises (@p716 @p1303) :args ((or @t573 (not (and @t181 @t48))))) % 33.98/34.36 (step @p1305 :rule bool-and-de-morgan :args (@t182 @t181 (and @t48))) % 33.98/34.36 (step @p1306 :rule trans :premises (@p1305 @p1304)) % 33.98/34.36 (step @p1307 :rule nary_cong :premises (@p106 @p1306) :args ((or @t238 (not (and @t182 @t181 @t48))))) % 33.98/34.36 (step @p1308 :rule bool-and-de-morgan :args (@t35 @t182 (and @t181 @t48))) % 33.98/34.36 (step @p1309 :rule trans :premises (@p1308 @p1307)) % 33.98/34.36 (step @p1310 :rule trans :premises (@p1309 @p1302)) % 33.98/34.36 (step @p1311 :rule nary_cong :premises (@p1310 @p1299) :args ((or (not @t200) @t821))) % 33.98/34.36 (step @p1312 :rule trans :premises (@p1311 @p1298)) % 33.98/34.36 (step @p1313 :rule bool-impl-elim :args (@t200 @t821)) % 33.98/34.36 (step @p1314 :rule trans :premises (@p1313 @p1312)) % 33.98/34.36 (step @p1315 :rule cong :premises (@p1314) :args ((forall @t38 (=> @t200 @t821)))) % 33.98/34.36 (step @p1316 :rule trans :premises (@p1315 @p1297)) % 33.98/34.36 (step @p1317 :rule aci_norm :args ((= @t825 @t819))) % 33.98/34.36 (step @p1318 :rule cong :premises (@p1317) :args (@t826)) % 33.98/34.36 (step @p1319 :rule quant-merge-prenex :args ((= (forall @t29 @t828) @t826))) % 33.98/34.36 (step @p1320 :rule alpha_equiv :args (@t829 (@list @t815) @t279)) % 33.98/34.36 (step @p1321 :rule nary_cong :premises (@p342 @p1320) :args (@t830)) % 33.98/34.36 (step @p1322 :rule quant-miniscope-or :args ((= @t828 @t830))) % 33.98/34.36 (step @p1323 :rule trans :premises (@p1322 @p1321)) % 33.98/34.36 (step @p1324 :rule symm :premises (@p1323)) % 33.98/34.36 (step @p1325 :rule cong :premises (@p1324) :args ((forall @t29 (or @t367 @t832)))) % 33.98/34.36 (step @p1326 :rule trans :premises (@p1325 @p1319)) % 33.98/34.36 (step @p1327 :rule trans :premises (@p1326 @p1318)) % 33.98/34.36 (step @p1328 :rule bool-impl-elim :args (@t69 @t832)) % 33.98/34.36 (step @p1329 :rule cong :premises (@p1328) :args ((forall @t29 (=> @t69 @t832)))) % 33.98/34.36 (step @p1330 :rule trans :premises (@p1329 @p1327)) % 33.98/34.36 (step @p1331 :rule bool-impl-elim :args (@t68 @t831)) % 33.98/34.36 (step @p1332 :rule cong :premises (@p1331) :args ((forall @t25 (=> @t68 @t831)))) % 33.98/34.36 (step @p1333 :rule eq-symm :args (@t113 @t3)) % 33.98/34.36 (step @p1334 :rule refl :args (@t179)) % 33.98/34.36 (step @p1335 :rule cong :premises (@p1334 @p1333) :args (@t195)) % 33.98/34.36 (step @p1336 :rule refl :args (@t68)) % 33.98/34.36 (step @p1337 :rule cong :premises (@p1336 @p1335) :args (@t196)) % 33.98/34.36 (step @p1338 :rule cong :premises (@p1337) :args (@t197)) % 33.98/34.36 (step @p1339 :rule trans :premises (@p1338 @p1332)) % 33.98/34.36 (step @p1340 :rule cong :premises (@p355 @p1339) :args (@t198)) % 33.98/34.36 (step @p1341 :rule cong :premises (@p1340) :args (@t199)) % 33.98/34.36 (step @p1342 :rule trans :premises (@p1341 @p1330)) % 33.98/34.36 (step @p1343 :rule refl :args (@t200)) % 33.98/34.36 (step @p1344 :rule cong :premises (@p1343 @p1342) :args (@t201)) % 33.98/34.36 (step @p1345 :rule cong :premises (@p1344) :args (@t202)) % 33.98/34.36 (step @p1346 :rule trans :premises (@p1345 @p1316)) % 33.98/34.36 (step @p1347 :rule eq_resolve :premises (@p74 @p1346)) % 33.98/34.36 (step @p1348 :rule instantiate :premises (@p1347) :args (@t381)) % 33.98/34.36 (step @p1349 :rule cnf_or_pos :args (@t835)) % 33.98/34.36 (step @p1350 :rule reordering :premises (@p1349) :args ((or @t333 @t330 @t398 @t387 @t586 @t585 @t834 (not @t835)))) % 33.98/34.36 (step @p1351 :rule chain_m_resolution :premises (@p1350 @p404 @p398 @p383 @p392 @p762 @p759 @p1348) :args (@t834 (@list false false false true false false false) (@list @t332 @t329 @t384 @t387 @t579 @t578 @t835))) % 33.98/34.36 (step @p1352 :rule cnf_equiv_pos2 :args (@t834)) % 33.98/34.36 (step @p1353 :rule reordering :premises (@p1352) :args ((or @t797 @t837 @t836))) % 33.98/34.36 (assume-push @p1541 @t348) % 33.98/34.36 (assume-push @p1542 @t780) % 33.98/34.36 (assume-push @p1543 @t780) % 33.98/34.36 (assume-push @p1544 @t348) % 33.98/34.36 (step @p1358 :rule true_intro :premises (@p1542)) % 33.98/34.36 (step @p1359 :rule symm :premises (@p314)) % 33.98/34.36 (step @p1360 :rule refl :args (@t253)) % 33.98/34.36 (step @p1361 :rule cong :premises (@p1360 @p1359 @p1220) :args (@t838)) % 33.98/34.36 (step @p1362 :rule trans :premises (@p1361 @p1358)) % 33.98/34.36 (step @p1363 :rule true_elim :premises (@p1362)) % 33.98/34.36 (step-pop @p1545 :rule scope :premises (@p1363)) % 33.98/34.36 (step-pop @p1546 :rule scope :premises (@p1545)) % 33.98/34.36 (step @p1364 :rule process_scope :premises (@p1546) :args (@t838)) % 33.98/34.36 (step @p1367 :rule and_intro :premises (@p1542 @p314)) % 33.98/34.36 (step @p1368 :rule modus_ponens :premises (@p1367 @p1364)) % 33.98/34.36 (step-pop @p1547 :rule scope :premises (@p1368)) % 33.98/34.36 (step-pop @p1548 :rule scope :premises (@p1547)) % 33.98/34.36 (step @p1369 :rule process_scope :premises (@p1548) :args (@t838)) % 33.98/34.36 (step @p1372 :rule implies_elim :premises (@p1369)) % 33.98/34.36 (step @p1373 :rule cnf_and_neg :args (@t839)) % 33.98/34.36 (step @p1374 :rule resolution :premises (@p1373 @p1372) :args (true @t839)) % 33.98/34.36 (step @p1375 :rule eq-symm :args (@t346 @t252)) % 33.98/34.36 (step @p1376 :rule refl :args (@t838)) % 33.98/34.36 (step @p1377 :rule cong :premises (@p1376 @p1375) :args (@t840)) % 33.98/34.36 (step @p1378 :rule refl :args (@t842)) % 33.98/34.36 (step @p1379 :rule refl :args (@t844)) % 33.98/34.36 (step @p1380 :rule nary_cong :premises (@p696 @p695 @p694 @p693 @p1379 @p1378 @p815 @p692 @p1377) :args (@t845)) % 33.98/34.36 (step @p1381 :rule cong :premises (@p819 @p1380) :args ((=> @t600 @t845))) % 33.98/34.36 (assume-push @p1549 @t600) % 33.98/34.36 (step @p1383 :rule instantiate :premises (@p811) :args ((@list @t253 @t346 @t252))) % 33.98/34.36 (step-pop @p1550 :rule scope :premises (@p1383)) % 33.98/34.36 (step @p1384 :rule process_scope :premises (@p1550) :args (@t845)) % 33.98/34.36 (step @p1386 :rule eq_resolve :premises (@p1384 @p1381)) % 33.98/34.36 (step @p1387 :rule implies_elim :premises (@p1386)) % 33.98/34.36 (step @p1388 :rule chain_m_resolution :premises (@p1387 @p811) :args (@t848 @t393 @t604)) % 33.98/34.36 (step @p1389 :rule instantiate :premises (@p835) :args (@t779)) % 33.98/34.36 (step @p1390 :rule cnf_or_pos :args (@t850)) % 33.98/34.36 (step @p1391 :rule reordering :premises (@p1390) :args ((or @t342 @t341 @t339 @t337 @t335 @t331 @t849 (not @t850)))) % 33.98/34.36 (step @p1392 :rule chain_m_resolution :premises (@p1391 @p311 @p309 @p303 @p297 @p291 @p285 @p1389) :args (@t849 @t350 (@list @t342 @t340 @t338 @t336 @t334 @t323 @t850))) % 33.98/34.36 (step @p1393 :rule cnf_and_pos :args (@t849 1)) % 33.98/34.36 (step @p1394 :rule reordering :premises (@p1393) :args ((or @t841 @t851))) % 33.98/34.36 (step @p1395 :rule chain_m_resolution :premises (@p1394 @p1392) :args (@t841 @t393 @t852)) % 33.98/34.36 (step @p1396 :rule cnf_and_pos :args (@t849 0)) % 33.98/34.36 (step @p1397 :rule reordering :premises (@p1396) :args ((or @t843 @t851))) % 33.98/34.36 (step @p1398 :rule chain_m_resolution :premises (@p1397 @p1392) :args (@t843 @t393 @t852)) % 33.98/34.36 (step @p1399 :rule cnf_or_pos :args (@t848)) % 33.98/34.36 (step @p1400 :rule reordering :premises (@p1399) :args ((or @t342 @t341 @t339 @t337 @t335 @t472 @t844 @t842 @t847 (not @t848)))) % 33.98/34.36 (step @p1401 :rule chain_m_resolution :premises (@p1400 @p311 @p309 @p303 @p297 @p291 @p518 @p1398 @p1395 @p1388) :args (@t847 @t610 (@list @t342 @t340 @t338 @t336 @t334 @t465 @t843 @t841 @t848))) % 33.98/34.36 (step @p1402 :rule cnf_equiv_pos1 :args (@t847)) % 33.98/34.36 (step @p1403 :rule reordering :premises (@p1402) :args ((or @t846 (not @t838) (not @t847)))) % 33.98/34.36 (step @p1404 :rule refl :args (@t853)) % 33.98/34.36 (step @p1405 :rule refl :args (@t854)) % 33.98/34.36 (step @p1406 :rule refl :args (@t855)) % 33.98/34.36 (step @p1407 :rule bool-double-not-elim :args (@t833)) % 33.98/34.36 (step @p1408 :rule refl :args (@t856)) % 33.98/34.36 (step @p1409 :rule refl :args (@t857)) % 33.98/34.36 (step @p1410 :rule refl :args (@t858)) % 33.98/34.36 (step @p1411 :rule nary_cong :premises (@p1410 @p1409 @p1408 @p1407 @p1406 @p1405 @p1404) :args ((or @t858 @t857 @t856 (not @t837) @t855 @t854 @t853))) % 33.98/34.36 (assume-push @p1551 @t348) % 33.98/34.36 (assume-push @p1552 @t406) % 33.98/34.36 (assume-push @p1553 @t670) % 33.98/34.36 (assume-push @p1554 @t837) % 33.98/34.36 (assume-push @p1555 @t669) % 33.98/34.36 (assume-push @p1556 @t775) % 33.98/34.36 (assume-push @p1557 @t837) % 33.98/34.36 (assume-push @p1558 @t406) % 33.98/34.36 (assume-push @p1559 @t670) % 33.98/34.36 (assume-push @p1560 @t669) % 33.98/34.36 (assume-push @p1561 @t775) % 33.98/34.36 (assume-push @p1562 @t348) % 33.98/34.36 (step @p1424 :rule false_intro :premises (@p1554)) % 33.98/34.36 (step @p1425 :rule symm :premises (@p407)) % 33.98/34.36 (step @p1426 :rule symm :premises (@p1001)) % 33.98/34.36 (step @p1427 :rule cong :premises (@p1214 @p1214 @p1214 @p1426 @p1220 @p1215) :args (@t774)) % 33.98/34.36 (step @p1359 :rule symm :premises (@p314)) % 33.98/34.36 (step @p1428 :rule trans :premises (@p1359 @p1226 @p1427 @p1425)) % 33.98/34.36 (step @p1429 :rule cong :premises (@p1220 @p1428) :args (@t846)) % 33.98/34.36 (step @p1430 :rule trans :premises (@p1429 @p1424)) % 33.98/34.36 (step @p1431 :rule false_elim :premises (@p1430)) % 33.98/34.36 (step-pop @p1563 :rule scope :premises (@p1431)) % 33.98/34.36 (step-pop @p1564 :rule scope :premises (@p1563)) % 33.98/34.36 (step-pop @p1565 :rule scope :premises (@p1564)) % 33.98/34.36 (step-pop @p1566 :rule scope :premises (@p1565)) % 33.98/34.36 (step-pop @p1567 :rule scope :premises (@p1566)) % 33.98/34.36 (step-pop @p1568 :rule scope :premises (@p1567)) % 33.98/34.36 (step @p1432 :rule process_scope :premises (@p1568) :args (@t853)) % 33.98/34.36 (step @p1439 :rule and_intro :premises (@p1554 @p407 @p998 @p1001 @p1226 @p314)) % 33.98/34.36 (step @p1440 :rule modus_ponens :premises (@p1439 @p1432)) % 33.98/34.36 (step-pop @p1569 :rule scope :premises (@p1440)) % 33.98/34.36 (step-pop @p1570 :rule scope :premises (@p1569)) % 33.98/34.36 (step-pop @p1571 :rule scope :premises (@p1570)) % 33.98/34.36 (step-pop @p1572 :rule scope :premises (@p1571)) % 33.98/34.36 (step-pop @p1573 :rule scope :premises (@p1572)) % 33.98/34.36 (step-pop @p1574 :rule scope :premises (@p1573)) % 33.98/34.36 (step @p1441 :rule process_scope :premises (@p1574) :args (@t853)) % 33.98/34.36 (step @p1448 :rule implies_elim :premises (@p1441)) % 33.98/34.36 (step @p1449 :rule cnf_and_neg :args (@t859)) % 33.98/34.36 (step @p1450 :rule resolution :premises (@p1449 @p1448) :args (true @t859)) % 33.98/34.36 (step @p1451 :rule eq_resolve :premises (@p1450 @p1411)) % 33.98/34.36 (step @p1452 :rule reordering :premises (@p1451) :args ((or @t858 @t833 @t857 @t856 @t855 @t853 @t854))) % 33.98/34.36 (step @p1453 :rule chain_m_resolution :premises (@p1452 @p1226 @p1001 @p998 @p407 @p314 @p1403 @p1401 @p1374 @p314 @p1353 @p1351 @p1286 @p1230 @p1284 @p1282 @p1270 @p1265 @p1268 @p1267) :args (@t796 (@list false false false false false false false false false true false false false true false false false true true) (@list @t775 @t669 @t670 @t406 @t348 @t846 @t847 @t838 @t348 @t833 @t834 @t780 @t782 @t797 @t798 @t781 @t793 @t325 @t327))) % 33.98/34.36 (step @p1454 :rule cnf_equiv_pos2 :args (@t793)) % 33.98/34.36 (step @p1455 :rule reordering :premises (@p1454) :args ((or @t326 @t803 @t795))) % 33.98/34.36 (step @p1456 :rule chain_m_resolution :premises (@p1455 @p1453 @p1265) :args (@t803 @t860 (@list @t326 @t793))) % 33.98/34.36 (step @p1457 :rule cnf_equiv_pos2 :args (@t782)) % 33.98/34.36 (step @p1458 :rule reordering :premises (@p1457) :args ((or @t781 @t861 @t802))) % 33.98/34.36 (step @p1459 :rule chain_m_resolution :premises (@p1458 @p1456 @p1230) :args (@t861 @t860 (@list @t781 @t782))) % 33.98/34.36 (step @p1460 :rule cnf_equiv_neg1 :args (@t327)) % 33.98/34.36 (step @p1461 :rule reordering :premises (@p1460) :args ((or @t326 @t325 @t327))) % 33.98/34.36 (step @p1462 :rule chain_m_resolution :premises (@p1461 @p1453 @p1267) :args (@t325 (@list true true) (@list @t326 @t327))) % 33.98/34.36 (step @p1463 :rule cnf_equiv_pos1 :args (@t798)) % 33.98/34.36 (step @p1464 :rule reordering :premises (@p1463) :args ((or (not @t325) @t797 @t800))) % 33.98/34.36 (step @p1465 :rule chain_m_resolution :premises (@p1464 @p1462 @p1282) :args (@t797 @t400 (@list @t325 @t798))) % 33.98/34.36 (step @p1466 :rule cnf_equiv_pos1 :args (@t834)) % 33.98/34.36 (step @p1467 :rule reordering :premises (@p1466) :args ((or @t801 @t833 @t836))) % 33.98/34.36 (step @p1468 :rule chain_m_resolution :premises (@p1467 @p1465 @p1351) :args (@t833 @t400 (@list @t797 @t834))) % 33.98/34.36 (step @p1469 :rule refl :args (@t862)) % 33.98/34.36 (step @p1470 :rule bool-double-not-elim :args (@t780)) % 33.98/34.36 (step @p1471 :rule refl :args (@t837)) % 33.98/34.36 (step @p1472 :rule refl :args (@t611)) % 33.98/34.36 (step @p1473 :rule nary_cong :premises (@p1410 @p1409 @p1408 @p1472 @p1471 @p1470 @p1406 @p1469 @p1405) :args ((or @t858 @t857 @t856 @t611 @t837 (not @t861) @t855 @t862 @t854))) % 33.98/34.36 (assume-push @p1575 @t861) % 33.98/34.36 (assume-push @p1576 @t348) % 33.98/34.36 (assume-push @p1577 @t775) % 33.98/34.36 (assume-push @p1578 @t670) % 33.98/34.36 (assume-push @p1579 @t669) % 33.98/34.36 (assume-push @p1580 @t406) % 33.98/34.36 (assume-push @p1581 @t833) % 33.98/34.36 (assume-push @p1582 @t601) % 33.98/34.36 (assume-push @p1583 @t469) % 33.98/34.36 (step @p1483 :rule evaluate :args ((= true false))) % 33.98/34.36 (step @p1484 :rule false_intro :premises (@p1575)) % 33.98/34.36 (step @p1359 :rule symm :premises (@p314)) % 33.98/34.36 (step @p1360 :rule refl :args (@t253)) % 33.98/34.36 (step @p1361 :rule cong :premises (@p1360 @p1359 @p1220) :args (@t838)) % 33.98/34.36 (step @p1485 :rule symm :premises (@p1226)) % 33.98/34.36 (step @p1486 :rule cong :premises (@p998 @p998 @p998 @p1001 @p1220 @p1215) :args (@t404)) % 33.98/34.36 (step @p1487 :rule symm :premises (@p852)) % 33.98/34.36 (step @p1488 :rule trans :premises (@p1487 @p1581 @p407 @p1486 @p1485)) % 33.98/34.36 (step @p1489 :rule trans :premises (@p1488 @p314)) % 33.98/34.36 (step @p1490 :rule cong :premises (@p1360 @p1489 @p1220) :args (@t469)) % 33.98/34.36 (step @p1491 :rule true_intro :premises (@p779)) % 33.98/34.36 (step @p1492 :rule symm :premises (@p1491)) % 33.98/34.36 (step @p1493 :rule trans :premises (@p1492 @p1490 @p1361 @p1484)) % 33.98/34.36 (step @p1494 false :rule eq_resolve :premises (@p1493 @p1483)) % 33.98/34.36 (step-pop @p1584 :rule scope :premises (@p1494)) % 33.98/34.36 (step-pop @p1585 :rule scope :premises (@p1584)) % 33.98/34.36 (step-pop @p1586 :rule scope :premises (@p1585)) % 33.98/34.36 (step-pop @p1587 :rule scope :premises (@p1586)) % 33.98/34.36 (step-pop @p1588 :rule scope :premises (@p1587)) % 33.98/34.36 (step-pop @p1589 :rule scope :premises (@p1588)) % 33.98/34.36 (step-pop @p1590 :rule scope :premises (@p1589)) % 33.98/34.36 (step-pop @p1591 :rule scope :premises (@p1590)) % 33.98/34.36 (step-pop @p1592 :rule scope :premises (@p1591)) % 33.98/34.36 (step @p1495 :rule process_scope :premises (@p1592) :args (false)) % 33.98/34.36 (assume-push @p1593 @t348) % 33.98/34.36 (assume-push @p1594 @t406) % 33.98/34.36 (assume-push @p1595 @t670) % 33.98/34.36 (assume-push @p1596 @t469) % 33.98/34.36 (assume-push @p1597 @t833) % 33.98/34.36 (assume-push @p1598 @t861) % 33.98/34.36 (assume-push @p1599 @t669) % 33.98/34.36 (assume-push @p1600 @t601) % 33.98/34.36 (assume-push @p1601 @t775) % 33.98/34.36 (step @p1514 :rule and_intro :premises (@p1598 @p314 @p1226 @p998 @p1001 @p407 @p1597 @p852 @p779)) % 33.98/34.36 (step-pop @p1602 :rule scope :premises (@p1514)) % 33.98/34.36 (step-pop @p1603 :rule scope :premises (@p1602)) % 33.98/34.36 (step-pop @p1604 :rule scope :premises (@p1603)) % 33.98/34.36 (step-pop @p1605 :rule scope :premises (@p1604)) % 33.98/34.36 (step-pop @p1606 :rule scope :premises (@p1605)) % 33.98/34.36 (step-pop @p1607 :rule scope :premises (@p1606)) % 33.98/34.36 (step-pop @p1608 :rule scope :premises (@p1607)) % 33.98/34.36 (step-pop @p1609 :rule scope :premises (@p1608)) % 33.98/34.36 (step-pop @p1610 :rule scope :premises (@p1609)) % 33.98/34.36 (step @p1515 :rule process_scope :premises (@p1610) :args (@t863)) % 33.98/34.36 (step @p1525 :rule implies_elim :premises (@p1515)) % 33.98/34.36 (step @p1526 :rule resolution :premises (@p1525 @p1495) :args (true @t863)) % 33.98/34.36 (step @p1527 :rule not_and :premises (@p1526)) % 33.98/34.36 (step @p1528 :rule eq_resolve :premises (@p1527 @p1473)) % 33.98/34.36 (step @p1529 :rule reordering :premises (@p1528) :args ((or @t858 @t780 @t857 @t856 @t611 @t837 @t855 @t862 @t854))) % 33.98/34.36 (step @p1530 false :rule chain_m_resolution :premises (@p1529 @p1468 @p1459 @p1226 @p1001 @p998 @p852 @p779 @p407 @p314) :args (false (@list false true false false false false false false false) (@list @t833 @t780 @t775 @t669 @t670 @t601 @t469 @t406 @t348))) % 33.98/34.36 ) % 33.98/34.36 % SZS output end Proof % 33.98/34.36 % cvc5 exiting %------------------------------------------------------------------------------