%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT305+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 : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:30:13 AM UTC 2026 % Result : Theorem 0.46s 0.66s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT305+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 % 0.16/0.33 % Computer : n028.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 06:19:50 EDT 2026 % 0.16/0.33 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.66 % SZS status Theorem % 0.46/0.66 % SZS output start Proof % 0.46/0.66 ( % 0.46/0.66 (declare-sort $$unsorted 0) % 0.46/0.66 (declare-const tptp.r1_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.r3_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.46/0.66 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.m2_filter_2 (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.a_2_0_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.k4_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.k2_tarski (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.v1_realset1 (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.k18_filter_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.k4_tarski (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.k1_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.k2_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (declare-const tptp.k2_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (define @t1 () (@var "B" $$unsorted)) % 0.46/0.66 (define @t2 () (@var "A" $$unsorted)) % 0.46/0.66 (define @t3 () (tptp.k18_filter_2 @t2 @t1)) % 0.46/0.66 (define @t4 () (@var "C" $$unsorted)) % 0.46/0.66 (define @t5 () (tptp.k4_lattices @t2 @t4 @t1)) % 0.46/0.66 (define @t6 () (tptp.k4_lattices @t2 @t1 @t4)) % 0.46/0.66 (define @t7 () (tptp.r2_hidden @t1 @t3)) % 0.46/0.66 (define @t8 () (and @t7 (tptp.r2_hidden @t6 @t3) (tptp.r2_hidden @t5 @t3))) % 0.46/0.66 (define @t9 () (tptp.u1_struct_0 @t2)) % 0.46/0.66 (define @t10 () (tptp.m1_subset_1 @t4 @t9)) % 0.46/0.66 (define @t11 () (@list @t4)) % 0.46/0.66 (define @t12 () (forall @t11 (=> @t10 @t8))) % 0.46/0.66 (define @t13 () (tptp.m1_subset_1 @t1 @t9)) % 0.46/0.66 (define @t14 () (=> @t13 @t12)) % 0.46/0.66 (define @t15 () (@list @t1)) % 0.46/0.66 (define @t16 () (forall @t15 @t14)) % 0.46/0.66 (define @t17 () (tptp.l3_lattices @t2)) % 0.46/0.66 (define @t18 () (tptp.v10_lattices @t2)) % 0.46/0.66 (define @t19 () (tptp.v3_struct_0 @t2)) % 0.46/0.66 (define @t20 () (not @t19)) % 0.46/0.66 (define @t21 () (and @t20 @t18 @t17)) % 0.46/0.66 (define @t22 () (=> @t21 @t16)) % 0.46/0.66 (define @t23 () (@list @t2)) % 0.46/0.66 (define @t24 () (forall @t23 @t22)) % 0.46/0.66 (define @t25 () (not @t24)) % 0.46/0.66 (define @t26 () (tptp.r2_hidden @t2 @t1)) % 0.46/0.66 (define @t27 () (@list @t2 @t1)) % 0.46/0.66 (define @t28 () (tptp.v1_funct_1 @t2)) % 0.46/0.66 (define @t29 () (tptp.v1_xboole_0 @t2)) % 0.46/0.66 (define @t30 () (tptp.v9_lattices @t2)) % 0.46/0.66 (define @t31 () (tptp.v8_lattices @t2)) % 0.46/0.66 (define @t32 () (tptp.v7_lattices @t2)) % 0.46/0.66 (define @t33 () (tptp.v6_lattices @t2)) % 0.46/0.66 (define @t34 () (and @t20 (tptp.v4_lattices @t2) (tptp.v5_lattices @t2) @t33 @t32 @t31 @t30)) % 0.46/0.66 (define @t35 () (and @t20 @t18)) % 0.46/0.66 (define @t36 () (=> @t35 @t34)) % 0.46/0.66 (define @t37 () (forall @t23 (=> @t17 @t36))) % 0.46/0.66 (define @t38 () (not @t29)) % 0.46/0.66 (define @t39 () (tptp.v1_realset1 @t2)) % 0.46/0.66 (define @t40 () (not @t39)) % 0.46/0.66 (define @t41 () (tptp.k2_zfmisc_1 @t2 @t1)) % 0.46/0.66 (define @t42 () (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t41))) % 0.46/0.66 (define @t43 () (@list @t2 @t1 @t4)) % 0.46/0.66 (define @t44 () (tptp.v1_relat_1 @t2)) % 0.46/0.66 (define @t45 () (and @t44 @t28 (tptp.v2_funct_1 @t2))) % 0.46/0.66 (define @t46 () (and @t44 @t29 @t28)) % 0.46/0.66 (define @t47 () (tptp.k2_tarski @t2 @t1)) % 0.46/0.66 (define @t48 () (= @t6 @t5)) % 0.46/0.66 (define @t49 () (tptp.l1_lattices @t2)) % 0.46/0.66 (define @t50 () (and @t20 @t33 @t49 @t13 @t10)) % 0.46/0.66 (define @t51 () (forall @t43 (=> @t50 @t48))) % 0.46/0.66 (define @t52 () (and @t44 @t28)) % 0.46/0.66 (define @t53 () (tptp.u1_lattices @t2)) % 0.46/0.66 (define @t54 () (tptp.k2_lattices @t2 @t1 @t4)) % 0.46/0.66 (define @t55 () (tptp.k1_tarski @t2)) % 0.46/0.66 (define @t56 () (= @t3 (tptp.a_2_0_filter_2 @t2 @t1))) % 0.46/0.66 (define @t57 () (forall @t15 (=> @t13 @t56))) % 0.46/0.66 (define @t58 () (=> @t21 @t57)) % 0.46/0.66 (define @t59 () (forall @t23 @t58)) % 0.46/0.66 (define @t60 () (@var "F" $$unsorted)) % 0.46/0.66 (define @t61 () (@var "E" $$unsorted)) % 0.46/0.66 (define @t62 () (@var "D" $$unsorted)) % 0.46/0.66 (define @t63 () (tptp.k2_binop_1 @t2 @t1 @t4 @t62 @t61 @t60)) % 0.46/0.66 (define @t64 () (tptp.v1_xboole_0 @t1)) % 0.46/0.66 (define @t65 () (not @t64)) % 0.46/0.66 (define @t66 () (and @t38 @t65 (tptp.v1_funct_1 @t62) (tptp.v1_funct_2 @t62 @t41 @t4) (tptp.m1_relset_1 @t62 @t41 @t4) (tptp.m1_subset_1 @t61 @t2) (tptp.m1_subset_1 @t60 @t1))) % 0.46/0.66 (define @t67 () (@list @t2 @t1 @t4 @t62 @t61 @t60)) % 0.46/0.66 (define @t68 () (tptp.m1_subset_1 @t6 @t9)) % 0.46/0.66 (define @t69 () (forall @t43 (=> @t50 @t68))) % 0.46/0.66 (define @t70 () (tptp.l1_struct_0 @t2)) % 0.46/0.66 (define @t71 () (tptp.l2_lattices @t2)) % 0.46/0.66 (define @t72 () (and @t49 @t71)) % 0.46/0.66 (define @t73 () (forall @t23 (=> @t17 @t72))) % 0.46/0.66 (define @t74 () (tptp.m2_lattice4 @t1 @t2)) % 0.46/0.66 (define @t75 () (tptp.m2_filter_2 @t1 @t2)) % 0.46/0.66 (define @t76 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t9))) % 0.46/0.66 (define @t77 () (tptp.m2_relset_1 @t4 @t2 @t1)) % 0.46/0.66 (define @t78 () (tptp.k2_zfmisc_1 @t9 @t9)) % 0.46/0.66 (define @t79 () (tptp.v1_funct_2 @t53 @t78 @t9)) % 0.46/0.66 (define @t80 () (tptp.v1_funct_1 @t53)) % 0.46/0.66 (define @t81 () (tptp.m1_relset_1 @t4 @t2 @t1)) % 0.46/0.66 (define @t82 () (and @t20 @t70)) % 0.46/0.66 (define @t83 () (tptp.k1_zfmisc_1 @t2)) % 0.46/0.66 (define @t84 () (not (tptp.v1_xboole_0 @t55))) % 0.46/0.66 (define @t85 () (tptp.v1_partfun1 @t53 @t78 @t9)) % 0.46/0.66 (define @t86 () (tptp.v1_relat_1 @t53)) % 0.46/0.66 (define @t87 () (tptp.r3_lattices @t1 @t62 @t4)) % 0.46/0.66 (define @t88 () (= @t2 @t62)) % 0.46/0.66 (define @t89 () (tptp.u1_struct_0 @t1)) % 0.46/0.66 (define @t90 () (tptp.m1_subset_1 @t62 @t89)) % 0.46/0.66 (define @t91 () (and @t90 @t88 @t87)) % 0.46/0.66 (define @t92 () (@list @t62)) % 0.46/0.66 (define @t93 () (exists @t92 @t91)) % 0.46/0.66 (define @t94 () (tptp.r2_hidden @t2 (tptp.a_2_0_filter_2 @t1 @t4))) % 0.46/0.66 (define @t95 () (= @t94 @t93)) % 0.46/0.66 (define @t96 () (tptp.m1_subset_1 @t4 @t89)) % 0.46/0.66 (define @t97 () (tptp.l3_lattices @t1)) % 0.46/0.66 (define @t98 () (tptp.v10_lattices @t1)) % 0.46/0.66 (define @t99 () (tptp.v3_struct_0 @t1)) % 0.46/0.66 (define @t100 () (not @t99)) % 0.46/0.66 (define @t101 () (and @t100 @t98 @t97 @t96)) % 0.46/0.66 (define @t102 () (=> @t101 @t95)) % 0.46/0.66 (define @t103 () (forall @t43 @t102)) % 0.46/0.66 (define @t104 () (tptp.m1_subset_1 @t1 @t83)) % 0.46/0.66 (define @t105 () (= (tptp.r3_lattices @t2 @t1 @t4) (tptp.r1_lattices @t2 @t1 @t4))) % 0.46/0.66 (define @t106 () (and @t20 @t33 @t31 @t30 @t17 @t13 @t10)) % 0.46/0.66 (define @t107 () (forall @t43 (=> @t106 @t105))) % 0.46/0.66 (define @t108 () (tptp.r3_lattices @t2 @t1 @t1)) % 0.46/0.66 (define @t109 () (forall @t43 (=> @t106 @t108))) % 0.46/0.66 (define @t110 () (tptp.m1_subset_1 @t2 @t1)) % 0.46/0.66 (define @t111 () (tptp.r1_lattices @t2 @t6 @t1)) % 0.46/0.66 (define @t112 () (forall @t11 (=> @t10 @t111))) % 0.46/0.66 (define @t113 () (=> @t13 @t112)) % 0.46/0.66 (define @t114 () (forall @t15 @t113)) % 0.46/0.66 (define @t115 () (and @t20 @t33 @t31 @t17)) % 0.46/0.66 (define @t116 () (=> @t115 @t114)) % 0.46/0.66 (define @t117 () (forall @t23 @t116)) % 0.46/0.66 (define @t118 () (= @t2 @t1)) % 0.46/0.66 (define @t119 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t4))) % 0.46/0.66 (define @t120 () (@var "BOUND_VARIABLE_7826" $$unsorted)) % 0.46/0.66 (define @t121 () (tptp.k18_filter_2 @t2 @t120)) % 0.46/0.66 (define @t122 () (@var "BOUND_VARIABLE_7828" $$unsorted)) % 0.46/0.66 (define @t123 () (and (tptp.r2_hidden @t120 @t121) (tptp.r2_hidden (tptp.k4_lattices @t2 @t120 @t122) @t121) (tptp.r2_hidden (tptp.k4_lattices @t2 @t122 @t120) @t121))) % 0.46/0.66 (define @t124 () (not (tptp.m1_subset_1 @t122 @t9))) % 0.46/0.66 (define @t125 () (not (tptp.m1_subset_1 @t120 @t9))) % 0.46/0.66 (define @t126 () (not @t17)) % 0.46/0.66 (define @t127 () (not @t18)) % 0.46/0.66 (define @t128 () (or @t19 @t127 @t126 @t125 @t124 @t123)) % 0.46/0.66 (define @t129 () (or @t125 @t124 @t123)) % 0.46/0.66 (define @t130 () (or @t19 @t127 @t126 @t129)) % 0.46/0.66 (define @t131 () (@list @t2 @t120 @t122)) % 0.46/0.66 (define @t132 () (forall @t131 @t130)) % 0.46/0.66 (define @t133 () (@list @t120 @t122)) % 0.46/0.66 (define @t134 () (forall @t133 @t130)) % 0.46/0.66 (define @t135 () (forall @t133 @t129)) % 0.46/0.66 (define @t136 () (@var "BOUND_VARIABLE_7803" $$unsorted)) % 0.46/0.66 (define @t137 () (or @t19 @t127 @t126 @t135)) % 0.46/0.66 (define @t138 () (and @t7 (tptp.r2_hidden (tptp.k4_lattices @t2 @t1 @t136) @t3) (tptp.r2_hidden (tptp.k4_lattices @t2 @t136 @t1) @t3))) % 0.46/0.66 (define @t139 () (not (tptp.m1_subset_1 @t136 @t9))) % 0.46/0.66 (define @t140 () (not @t13)) % 0.46/0.66 (define @t141 () (or @t140 @t139 @t138)) % 0.46/0.66 (define @t142 () (@list @t1 @t136)) % 0.46/0.66 (define @t143 () (forall @t142 @t141)) % 0.46/0.66 (define @t144 () (or @t19 @t127 @t126 @t143)) % 0.46/0.66 (define @t145 () (or @t19 @t127 @t126)) % 0.46/0.66 (define @t146 () (not @t20)) % 0.46/0.66 (define @t147 () (or @t146 @t127 @t126)) % 0.46/0.66 (define @t148 () (not @t21)) % 0.46/0.66 (define @t149 () (or @t139 @t138)) % 0.46/0.66 (define @t150 () (or @t140 @t149)) % 0.46/0.66 (define @t151 () (forall @t142 @t150)) % 0.46/0.66 (define @t152 () (@list @t136)) % 0.46/0.66 (define @t153 () (forall @t152 @t150)) % 0.46/0.66 (define @t154 () (forall @t152 @t149)) % 0.46/0.66 (define @t155 () (@list @t4)) % 0.46/0.66 (define @t156 () (or @t140 @t154)) % 0.46/0.66 (define @t157 () (not @t10)) % 0.46/0.66 (define @t158 () (forall @t11 (or @t157 @t8))) % 0.46/0.66 (define @t159 () (forall @t131 @t128)) % 0.46/0.66 (define @t160 () (@quantifiers_skolemize @t159 1)) % 0.46/0.66 (define @t161 () (@quantifiers_skolemize @t159 0)) % 0.46/0.66 (define @t162 () (tptp.k18_filter_2 @t161 @t160)) % 0.46/0.66 (define @t163 () (@quantifiers_skolemize @t159 2)) % 0.46/0.66 (define @t164 () (tptp.k4_lattices @t161 @t163 @t160)) % 0.46/0.66 (define @t165 () (tptp.r2_hidden @t164 @t162)) % 0.46/0.66 (define @t166 () (tptp.k4_lattices @t161 @t160 @t163)) % 0.46/0.66 (define @t167 () (tptp.r2_hidden @t166 @t162)) % 0.46/0.66 (define @t168 () (tptp.r2_hidden @t160 @t162)) % 0.46/0.66 (define @t169 () (and @t168 @t167 @t165)) % 0.46/0.66 (define @t170 () (tptp.u1_struct_0 @t161)) % 0.46/0.66 (define @t171 () (tptp.m1_subset_1 @t163 @t170)) % 0.46/0.66 (define @t172 () (not @t171)) % 0.46/0.66 (define @t173 () (tptp.m1_subset_1 @t160 @t170)) % 0.46/0.66 (define @t174 () (not @t173)) % 0.46/0.66 (define @t175 () (tptp.l3_lattices @t161)) % 0.46/0.66 (define @t176 () (not @t175)) % 0.46/0.66 (define @t177 () (tptp.v10_lattices @t161)) % 0.46/0.66 (define @t178 () (not @t177)) % 0.46/0.66 (define @t179 () (tptp.v3_struct_0 @t161)) % 0.46/0.66 (define @t180 () (or @t179 @t178 @t176 @t174 @t172 @t169)) % 0.46/0.66 (define @t181 () (@list true)) % 0.46/0.66 (define @t182 () (@list @t180)) % 0.46/0.66 (define @t183 () (tptp.r3_lattices @t1 @t2 @t4)) % 0.46/0.66 (define @t184 () (tptp.m1_subset_1 @t2 @t89)) % 0.46/0.66 (define @t185 () (= @t94 (and @t184 @t183))) % 0.46/0.66 (define @t186 () (not @t96)) % 0.46/0.66 (define @t187 () (not @t97)) % 0.46/0.66 (define @t188 () (not @t98)) % 0.46/0.66 (define @t189 () (not @t183)) % 0.46/0.66 (define @t190 () (not @t184)) % 0.46/0.66 (define @t191 () (or @t190 @t189)) % 0.46/0.66 (define @t192 () (= @t94 (not @t191))) % 0.46/0.66 (define @t193 () (not @t100)) % 0.46/0.66 (define @t194 () (or @t193 @t188 @t187 @t186)) % 0.46/0.66 (define @t195 () (not (= @t2 @t2))) % 0.46/0.66 (define @t196 () (or @t190 @t195 @t189)) % 0.46/0.66 (define @t197 () (not @t87)) % 0.46/0.66 (define @t198 () (not @t88)) % 0.46/0.66 (define @t199 () (not @t90)) % 0.46/0.66 (define @t200 () (or @t198 @t199 @t198 @t197)) % 0.46/0.66 (define @t201 () (or @t199 @t198 @t197)) % 0.46/0.66 (define @t202 () (forall @t92 (not @t91))) % 0.46/0.66 (define @t203 () (not @t202)) % 0.46/0.66 (define @t204 () (not @t179)) % 0.46/0.66 (define @t205 () (tptp.r3_lattices @t161 @t166 @t160)) % 0.46/0.66 (define @t206 () (tptp.m1_subset_1 @t166 @t170)) % 0.46/0.66 (define @t207 () (and @t206 @t205)) % 0.46/0.66 (define @t208 () (tptp.a_2_0_filter_2 @t161 @t160)) % 0.46/0.66 (define @t209 () (tptp.r2_hidden @t166 @t208)) % 0.46/0.66 (define @t210 () (= @t209 @t207)) % 0.46/0.66 (define @t211 () (or @t179 @t178 @t176 @t174 @t210)) % 0.46/0.66 (define @t212 () (@list true false false false false)) % 0.46/0.66 (define @t213 () (not @t30)) % 0.46/0.66 (define @t214 () (not @t31)) % 0.46/0.66 (define @t215 () (not @t33)) % 0.46/0.66 (define @t216 () (or @t19 @t215 @t214 @t213 @t126 @t140 @t157 @t105)) % 0.46/0.66 (define @t217 () (or @t19 @t215 @t214 @t213 @t126 @t140 @t157)) % 0.46/0.66 (define @t218 () (or @t146 @t215 @t214 @t213 @t126 @t140 @t157)) % 0.46/0.66 (define @t219 () (or @t140 @t157)) % 0.46/0.66 (define @t220 () (not (and @t13 @t10))) % 0.46/0.66 (define @t221 () (not @t106)) % 0.46/0.66 (define @t222 () (tptp.r1_lattices @t161 @t166 @t160)) % 0.46/0.66 (define @t223 () (not @t206)) % 0.46/0.66 (define @t224 () (tptp.v9_lattices @t161)) % 0.46/0.66 (define @t225 () (not @t224)) % 0.46/0.66 (define @t226 () (tptp.v8_lattices @t161)) % 0.46/0.66 (define @t227 () (not @t226)) % 0.46/0.66 (define @t228 () (tptp.v6_lattices @t161)) % 0.46/0.66 (define @t229 () (not @t228)) % 0.46/0.66 (define @t230 () (or @t179 @t229 @t227 @t225 @t176 @t223 @t174 (= @t205 @t222))) % 0.46/0.66 (define @t231 () (forall @t43 @t216)) % 0.46/0.66 (define @t232 () (= @t222 @t205)) % 0.46/0.66 (define @t233 () (or @t179 @t229 @t227 @t225 @t176 @t223 @t174 @t232)) % 0.46/0.66 (define @t234 () (@list false)) % 0.46/0.66 (define @t235 () (not @t49)) % 0.46/0.66 (define @t236 () (or @t19 @t215 @t235 @t140 @t157)) % 0.46/0.66 (define @t237 () (or @t146 @t215 @t235 @t140 @t157)) % 0.46/0.66 (define @t238 () (not @t50)) % 0.46/0.66 (define @t239 () (@list @t161 @t160 @t163)) % 0.46/0.66 (define @t240 () (@list @t161)) % 0.46/0.66 (define @t241 () (tptp.l1_lattices @t161)) % 0.46/0.66 (define @t242 () (and @t241 (tptp.l2_lattices @t161))) % 0.46/0.66 (define @t243 () (or @t176 @t242)) % 0.46/0.66 (define @t244 () (@list false false)) % 0.46/0.66 (define @t245 () (or @t19 @t127 @t34)) % 0.46/0.66 (define @t246 () (and @t204 (tptp.v4_lattices @t161) (tptp.v5_lattices @t161) @t228 (tptp.v7_lattices @t161) @t226 @t224)) % 0.46/0.66 (define @t247 () (or @t176 @t179 @t178 @t246)) % 0.46/0.66 (define @t248 () (not @t246)) % 0.46/0.66 (define @t249 () (@list @t246)) % 0.46/0.66 (define @t250 () (not @t241)) % 0.46/0.66 (define @t251 () (or @t179 @t229 @t250 @t174 @t172 @t206)) % 0.46/0.66 (define @t252 () (@list true false false false false false)) % 0.46/0.66 (define @t253 () (@var "BOUND_VARIABLE_8301" $$unsorted)) % 0.46/0.66 (define @t254 () (@var "BOUND_VARIABLE_8303" $$unsorted)) % 0.46/0.66 (define @t255 () (tptp.r1_lattices @t2 (tptp.k4_lattices @t2 @t253 @t254) @t253)) % 0.46/0.66 (define @t256 () (not (tptp.m1_subset_1 @t254 @t9))) % 0.46/0.66 (define @t257 () (not (tptp.m1_subset_1 @t253 @t9))) % 0.46/0.66 (define @t258 () (or @t257 @t256 @t255)) % 0.46/0.66 (define @t259 () (or @t19 @t215 @t214 @t126 @t258)) % 0.46/0.66 (define @t260 () (forall (@list @t2 @t253 @t254) @t259)) % 0.46/0.66 (define @t261 () (@list @t253 @t254)) % 0.46/0.66 (define @t262 () (forall @t261 @t259)) % 0.46/0.66 (define @t263 () (forall @t261 @t258)) % 0.46/0.66 (define @t264 () (@var "BOUND_VARIABLE_8283" $$unsorted)) % 0.46/0.66 (define @t265 () (or @t19 @t215 @t214 @t126 @t263)) % 0.46/0.66 (define @t266 () (tptp.r1_lattices @t2 (tptp.k4_lattices @t2 @t1 @t264) @t1)) % 0.46/0.66 (define @t267 () (not (tptp.m1_subset_1 @t264 @t9))) % 0.46/0.66 (define @t268 () (or @t140 @t267 @t266)) % 0.46/0.66 (define @t269 () (@list @t1 @t264)) % 0.46/0.66 (define @t270 () (forall @t269 @t268)) % 0.46/0.66 (define @t271 () (or @t19 @t215 @t214 @t126 @t270)) % 0.46/0.66 (define @t272 () (or @t146 @t215 @t214 @t126)) % 0.46/0.66 (define @t273 () (or @t267 @t266)) % 0.46/0.66 (define @t274 () (or @t140 @t273)) % 0.46/0.66 (define @t275 () (forall @t269 @t274)) % 0.46/0.66 (define @t276 () (@list @t264)) % 0.46/0.66 (define @t277 () (forall @t276 @t274)) % 0.46/0.66 (define @t278 () (forall @t276 @t273)) % 0.46/0.66 (define @t279 () (or @t140 @t278)) % 0.46/0.66 (define @t280 () (forall @t11 (or @t157 @t111))) % 0.46/0.66 (define @t281 () (or @t179 @t229 @t227 @t176 @t174 @t172 @t222)) % 0.46/0.66 (define @t282 () (@list true false false false false false false)) % 0.46/0.66 (define @t283 () (@var "BOUND_VARIABLE_7959" $$unsorted)) % 0.46/0.66 (define @t284 () (= (tptp.k18_filter_2 @t2 @t283) (tptp.a_2_0_filter_2 @t2 @t283))) % 0.46/0.66 (define @t285 () (not (tptp.m1_subset_1 @t283 @t9))) % 0.46/0.66 (define @t286 () (or @t285 @t284)) % 0.46/0.66 (define @t287 () (or @t19 @t127 @t126 @t286)) % 0.46/0.66 (define @t288 () (forall (@list @t2 @t283) @t287)) % 0.46/0.66 (define @t289 () (@list @t283)) % 0.46/0.66 (define @t290 () (forall @t289 @t287)) % 0.46/0.66 (define @t291 () (forall @t289 @t286)) % 0.46/0.66 (define @t292 () (or @t19 @t127 @t126 @t291)) % 0.46/0.66 (define @t293 () (forall @t15 (or @t140 @t56))) % 0.46/0.66 (define @t294 () (or @t19 @t127 @t126 @t293)) % 0.46/0.66 (define @t295 () (= @t162 @t208)) % 0.46/0.66 (define @t296 () (or @t179 @t178 @t176 @t174 @t295)) % 0.46/0.66 (define @t297 () (= @t166 @t164)) % 0.46/0.66 (define @t298 () (or @t179 @t229 @t250 @t174 @t172 @t297)) % 0.46/0.66 (define @t299 () (tptp.r3_lattices @t161 @t160 @t160)) % 0.46/0.66 (define @t300 () (and @t173 @t299)) % 0.46/0.66 (define @t301 () (tptp.r2_hidden @t160 @t208)) % 0.46/0.66 (define @t302 () (= @t301 @t300)) % 0.46/0.66 (define @t303 () (or @t179 @t178 @t176 @t174 @t302)) % 0.46/0.66 (define @t304 () (or @t179 @t229 @t227 @t225 @t176 @t174 @t174 @t299)) % 0.46/0.66 (assume @p1 @t25) % 0.46/0.66 (assume @p2 (forall @t27 (=> @t26 (not (tptp.r2_hidden @t1 @t2))))) % 0.46/0.66 (assume @p3 (forall @t23 (=> @t29 @t28))) % 0.46/0.66 (assume @p4 @t37) % 0.46/0.66 (assume @p5 (forall @t23 (=> @t40 @t38))) % 0.46/0.66 (assume @p6 (forall @t43 (=> @t42 (tptp.v1_relat_1 @t4)))) % 0.46/0.66 (assume @p7 (forall @t23 (=> @t46 @t45))) % 0.46/0.66 (assume @p8 (forall @t23 (=> @t17 (=> @t34 @t35)))) % 0.46/0.66 (assume @p9 (forall @t27 (= @t47 (tptp.k2_tarski @t1 @t2)))) % 0.46/0.66 (assume @p10 @t51) % 0.46/0.66 (assume @p11 (forall @t23 (=> @t52 (forall (@list @t1 @t4) (= (tptp.k1_binop_1 @t2 @t1 @t4) (tptp.k1_funct_1 @t2 (tptp.k4_tarski @t1 @t4))))))) % 0.46/0.66 (assume @p12 (forall @t23 (=> (and @t20 @t49) (forall @t15 (=> @t13 (forall @t11 (=> @t10 (= @t54 (tptp.k2_binop_1 @t9 @t9 @t9 @t53 @t1 @t4))))))))) % 0.46/0.66 (assume @p13 (forall @t27 (= (tptp.k4_tarski @t2 @t1) (tptp.k2_tarski @t47 @t55)))) % 0.46/0.66 (assume @p14 @t59) % 0.46/0.66 (assume @p15 (forall @t27 (=> (and @t20 @t18 @t17 @t13) (tptp.m2_filter_2 @t3 @t2)))) % 0.46/0.66 (assume @p16 true) % 0.46/0.66 (assume @p17 (forall @t67 (=> @t66 (tptp.m1_subset_1 @t63 @t4)))) % 0.46/0.66 (assume @p18 (forall @t43 (=> (and @t20 @t49 @t13 @t10) (tptp.m1_subset_1 @t54 @t9)))) % 0.46/0.66 (assume @p19 @t69) % 0.46/0.66 (assume @p20 (forall @t23 (=> @t49 @t70))) % 0.46/0.66 (assume @p21 (forall @t23 (=> @t71 @t70))) % 0.46/0.66 (assume @p22 @t73) % 0.46/0.66 (assume @p23 (forall @t23 (=> @t21 (forall @t15 (=> @t75 (and @t65 @t74)))))) % 0.46/0.66 (assume @p24 (forall @t23 (=> @t21 (forall @t15 (=> @t74 @t76))))) % 0.46/0.66 (assume @p25 (forall @t43 (=> @t77 @t42))) % 0.46/0.66 (assume @p26 (forall @t23 (=> @t49 (and @t80 @t79 (tptp.m2_relset_1 @t53 @t78 @t9))))) % 0.46/0.66 (assume @p27 (exists @t23 @t49)) % 0.46/0.66 (assume @p28 (exists @t23 @t70)) % 0.46/0.66 (assume @p29 (exists @t23 @t71)) % 0.46/0.66 (assume @p30 (exists @t23 @t17)) % 0.46/0.66 (assume @p31 (forall @t27 (exists @t11 @t81))) % 0.46/0.66 (assume @p32 (forall @t23 (exists @t15 (tptp.m1_subset_1 @t1 @t2)))) % 0.46/0.66 (assume @p33 (forall @t23 (=> @t21 (exists @t15 @t75)))) % 0.46/0.66 (assume @p34 (forall @t23 (=> @t21 (exists @t15 @t74)))) % 0.46/0.66 (assume @p35 (forall @t27 (exists @t11 @t77))) % 0.46/0.66 (assume @p36 (forall @t23 (=> @t82 (not (tptp.v1_xboole_0 @t9))))) % 0.46/0.66 (assume @p37 (forall @t23 (not (tptp.v1_xboole_0 @t83)))) % 0.46/0.66 (assume @p38 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.46/0.66 (assume @p39 (forall @t23 @t84)) % 0.46/0.66 (assume @p40 (forall @t23 (and @t84 (tptp.v1_finset_1 @t55) (tptp.v1_realset1 @t55)))) % 0.46/0.66 (assume @p41 (forall @t27 (not (tptp.v1_xboole_0 @t47)))) % 0.46/0.66 (assume @p42 (forall @t23 (=> (and @t20 @t33 @t49) (and @t86 @t80 @t79 (tptp.v1_binop_1 @t53 @t9) @t85)))) % 0.46/0.66 (assume @p43 (forall @t27 (=> (and @t38 @t65) (not (tptp.v1_xboole_0 @t41))))) % 0.46/0.66 (assume @p44 (forall @t23 (=> (and @t20 @t32 @t49) (and @t86 @t80 @t79 (tptp.v2_binop_1 @t53 @t9) @t85)))) % 0.46/0.66 (assume @p45 @t103) % 0.46/0.66 (assume @p46 (exists @t23 @t52)) % 0.46/0.66 (assume @p47 (forall @t23 (=> @t21 (exists @t15 (and @t74 @t65))))) % 0.46/0.66 (assume @p48 (exists @t23 (and @t38 @t39))) % 0.46/0.66 (assume @p49 (forall @t23 (=> @t38 (exists @t15 (and @t104 @t65))))) % 0.46/0.66 (assume @p50 (exists @t23 @t29)) % 0.46/0.66 (assume @p51 (exists @t23 @t46)) % 0.46/0.66 (assume @p52 (exists @t23 (and @t38 @t40))) % 0.46/0.66 (assume @p53 (forall @t23 (exists @t15 (and @t104 @t64)))) % 0.46/0.66 (assume @p54 (exists @t23 @t38)) % 0.46/0.66 (assume @p55 (exists @t23 @t45)) % 0.46/0.66 (assume @p56 (exists @t23 (and @t70 @t20))) % 0.46/0.66 (assume @p57 (forall @t23 (=> @t82 (exists @t15 (and @t76 @t65))))) % 0.46/0.66 (assume @p58 (forall @t67 (=> @t66 (= @t63 (tptp.k1_binop_1 @t62 @t61 @t60))))) % 0.46/0.66 (assume @p59 (forall @t43 (=> @t50 (= @t6 @t54)))) % 0.46/0.66 (assume @p60 (forall @t43 (= @t77 @t81))) % 0.46/0.66 (assume @p61 @t107) % 0.46/0.66 (assume @p62 (forall @t27 (tptp.r1_tarski @t2 @t2))) % 0.46/0.66 (assume @p63 @t109) % 0.46/0.66 (assume @p64 (forall @t27 (=> @t26 @t110))) % 0.46/0.66 (assume @p65 @t117) % 0.46/0.66 (assume @p66 (forall @t27 (=> @t110 (or @t64 @t26)))) % 0.46/0.66 (assume @p67 (forall @t27 (=> (forall @t11 (= (tptp.r2_hidden @t4 @t2) (tptp.r2_hidden @t4 @t1))) @t118))) % 0.46/0.66 (assume @p68 (forall @t27 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t2 @t1)))) % 0.46/0.66 (assume @p69 (forall @t43 (=> (and @t26 @t119) (tptp.m1_subset_1 @t2 @t4)))) % 0.46/0.66 (assume @p70 (forall @t43 (not (and @t26 @t119 (tptp.v1_xboole_0 @t4))))) % 0.46/0.66 (assume @p71 (forall @t23 (=> @t29 (= @t2 tptp.k1_xboole_0)))) % 0.46/0.66 (assume @p72 (forall @t27 (not (and @t26 @t64)))) % 0.46/0.66 (assume @p73 (forall @t27 (not (and @t29 (not @t118) @t64)))) % 0.46/0.66 (step @p74 :rule aci_norm :args ((= @t130 @t128))) % 0.46/0.66 (step @p75 :rule cong :premises (@p74) :args (@t132)) % 0.46/0.66 (step @p76 :rule quant-merge-prenex :args ((= (forall @t23 @t134) @t132))) % 0.46/0.66 (step @p77 :rule alpha_equiv :args (@t135 (@list @t120 @t122) (@list @t1 @t136))) % 0.46/0.66 (step @p78 :rule refl :args (@t126)) % 0.46/0.66 (step @p79 :rule refl :args (@t127)) % 0.46/0.66 (step @p80 :rule refl :args (@t19)) % 0.46/0.66 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78 @p77) :args (@t137)) % 0.46/0.66 (step @p82 :rule quant-miniscope-or :args ((= @t134 @t137))) % 0.46/0.66 (step @p83 :rule trans :premises (@p82 @p81)) % 0.46/0.66 (step @p84 :rule symm :premises (@p83)) % 0.46/0.66 (step @p85 :rule cong :premises (@p84) :args ((forall @t23 @t144))) % 0.46/0.66 (step @p86 :rule trans :premises (@p85 @p76)) % 0.46/0.66 (step @p87 :rule trans :premises (@p86 @p75)) % 0.46/0.66 (step @p88 :rule aci_norm :args ((= (or @t145 @t143) @t144))) % 0.46/0.66 (step @p89 :rule refl :args (@t143)) % 0.46/0.66 (step @p90 :rule bool-double-not-elim :args (@t19)) % 0.46/0.66 (step @p91 :rule nary_cong :premises (@p90 @p79 @p78) :args (@t147)) % 0.46/0.66 (step @p92 :rule aci_norm :args ((= (or @t146 (or @t127 @t126)) @t147))) % 0.46/0.66 (step @p93 :rule trans :premises (@p92 @p91)) % 0.46/0.66 (step @p94 :rule bool-and-de-morgan :args (@t18 @t17 true)) % 0.46/0.66 (step @p95 :rule refl :args (@t146)) % 0.46/0.66 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t146 (not (and @t18 @t17))))) % 0.46/0.66 (step @p97 :rule bool-and-de-morgan :args (@t20 @t18 (and @t17))) % 0.46/0.66 (step @p98 :rule trans :premises (@p97 @p96)) % 0.46/0.66 (step @p99 :rule trans :premises (@p98 @p93)) % 0.46/0.66 (step @p100 :rule nary_cong :premises (@p99 @p89) :args ((or @t148 @t143))) % 0.46/0.66 (step @p101 :rule trans :premises (@p100 @p88)) % 0.46/0.66 (step @p102 :rule bool-impl-elim :args (@t21 @t143)) % 0.46/0.66 (step @p103 :rule trans :premises (@p102 @p101)) % 0.46/0.66 (step @p104 :rule cong :premises (@p103) :args ((forall @t23 (=> @t21 @t143)))) % 0.46/0.66 (step @p105 :rule trans :premises (@p104 @p87)) % 0.46/0.66 (step @p106 :rule aci_norm :args ((= @t150 @t141))) % 0.46/0.66 (step @p107 :rule cong :premises (@p106) :args (@t151)) % 0.46/0.66 (step @p108 :rule quant-merge-prenex :args ((= (forall @t15 @t153) @t151))) % 0.46/0.66 (step @p109 :rule alpha_equiv :args (@t154 (@list @t136) @t155)) % 0.46/0.66 (step @p110 :rule refl :args (@t140)) % 0.46/0.66 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t156)) % 0.46/0.66 (step @p112 :rule quant-miniscope-or :args ((= @t153 @t156))) % 0.46/0.66 (step @p113 :rule trans :premises (@p112 @p111)) % 0.46/0.66 (step @p114 :rule symm :premises (@p113)) % 0.46/0.66 (step @p115 :rule cong :premises (@p114) :args ((forall @t15 (or @t140 @t158)))) % 0.46/0.66 (step @p116 :rule trans :premises (@p115 @p108)) % 0.46/0.66 (step @p117 :rule trans :premises (@p116 @p107)) % 0.46/0.66 (step @p118 :rule bool-impl-elim :args (@t13 @t158)) % 0.46/0.66 (step @p119 :rule cong :premises (@p118) :args ((forall @t15 (=> @t13 @t158)))) % 0.46/0.66 (step @p120 :rule trans :premises (@p119 @p117)) % 0.46/0.66 (step @p121 :rule bool-impl-elim :args (@t10 @t8)) % 0.46/0.66 (step @p122 :rule cong :premises (@p121) :args (@t12)) % 0.46/0.66 (step @p123 :rule refl :args (@t13)) % 0.46/0.66 (step @p124 :rule cong :premises (@p123 @p122) :args (@t14)) % 0.46/0.66 (step @p125 :rule cong :premises (@p124) :args (@t16)) % 0.46/0.66 (step @p126 :rule trans :premises (@p125 @p120)) % 0.46/0.66 (step @p127 :rule refl :args (@t21)) % 0.46/0.66 (step @p128 :rule cong :premises (@p127 @p126) :args (@t22)) % 0.46/0.66 (step @p129 :rule cong :premises (@p128) :args (@t24)) % 0.46/0.66 (step @p130 :rule trans :premises (@p129 @p105)) % 0.46/0.66 (step @p131 :rule cong :premises (@p130) :args (@t25)) % 0.46/0.66 (step @p132 :rule eq_resolve :premises (@p1 @p131)) % 0.46/0.66 (step @p133 :rule skolemize :premises (@p132)) % 0.46/0.66 (step @p134 :rule cnf_or_neg :args (@t180 5)) % 0.46/0.66 (step @p135 :rule chain_m_resolution :premises (@p134 @p133) :args ((not @t169) @t181 @t182)) % 0.46/0.66 (step @p136 :rule aci_norm :args ((= (or (or @t99 @t188 @t187 @t186) @t185) (or @t99 @t188 @t187 @t186 @t185)))) % 0.46/0.66 (step @p137 :rule bool-double-not-elim :args (@t183)) % 0.46/0.66 (step @p138 :rule bool-double-not-elim :args (@t184)) % 0.46/0.66 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((and (not @t190) (not @t189)))) % 0.46/0.66 (step @p140 :rule bool-or-de-morgan :args (@t190 @t189 false)) % 0.46/0.66 (step @p141 :rule trans :premises (@p140 @p139)) % 0.46/0.66 (step @p142 :rule refl :args (@t94)) % 0.46/0.66 (step @p143 :rule cong :premises (@p142 @p141) :args (@t192)) % 0.46/0.66 (step @p144 :rule refl :args (@t186)) % 0.46/0.66 (step @p145 :rule refl :args (@t187)) % 0.46/0.66 (step @p146 :rule refl :args (@t188)) % 0.46/0.66 (step @p147 :rule bool-double-not-elim :args (@t99)) % 0.46/0.66 (step @p148 :rule nary_cong :premises (@p147 @p146 @p145 @p144) :args (@t194)) % 0.46/0.66 (step @p149 :rule aci_norm :args ((= (or @t193 (or @t188 (or @t187 @t186))) @t194))) % 0.46/0.66 (step @p150 :rule trans :premises (@p149 @p148)) % 0.46/0.66 (step @p151 :rule bool-and-de-morgan :args (@t97 @t96 true)) % 0.46/0.66 (step @p152 :rule nary_cong :premises (@p146 @p151) :args ((or @t188 (not (and @t97 @t96))))) % 0.46/0.66 (step @p153 :rule bool-and-de-morgan :args (@t98 @t97 (and @t96))) % 0.46/0.66 (step @p154 :rule trans :premises (@p153 @p152)) % 0.46/0.66 (step @p155 :rule refl :args (@t193)) % 0.46/0.66 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or @t193 (not (and @t98 @t97 @t96))))) % 0.46/0.66 (step @p157 :rule bool-and-de-morgan :args (@t100 @t98 (and @t97 @t96))) % 0.46/0.66 (step @p158 :rule trans :premises (@p157 @p156)) % 0.46/0.66 (step @p159 :rule trans :premises (@p158 @p150)) % 0.46/0.66 (step @p160 :rule nary_cong :premises (@p159 @p143) :args ((or (not @t101) @t192))) % 0.46/0.66 (step @p161 :rule trans :premises (@p160 @p136)) % 0.46/0.66 (step @p162 :rule bool-impl-elim :args (@t101 @t192)) % 0.46/0.66 (step @p163 :rule trans :premises (@p162 @p161)) % 0.46/0.66 (step @p164 :rule cong :premises (@p163) :args ((forall @t43 (=> @t101 @t192)))) % 0.46/0.66 (step @p165 :rule aci_norm :args ((= (or @t190 false @t189) @t191))) % 0.46/0.66 (step @p166 :rule refl :args (@t189)) % 0.46/0.66 (step @p167 :rule evaluate :args ((not true))) % 0.46/0.66 (step @p168 :rule eq-refl :args (@t2)) % 0.46/0.66 (step @p169 :rule cong :premises (@p168) :args (@t195)) % 0.46/0.66 (step @p170 :rule trans :premises (@p169 @p167)) % 0.46/0.66 (step @p171 :rule refl :args (@t190)) % 0.46/0.66 (step @p172 :rule nary_cong :premises (@p171 @p170 @p166) :args (@t196)) % 0.46/0.66 (step @p173 :rule trans :premises (@p172 @p165)) % 0.46/0.66 (step @p174 :rule quant-var-elim-eq :args ((= (forall @t92 (or (not (= @t62 @t2)) @t199 @t198 @t197)) @t196))) % 0.46/0.66 (step @p175 :rule refl :args (@t197)) % 0.46/0.66 (step @p176 :rule refl :args (@t198)) % 0.46/0.66 (step @p177 :rule refl :args (@t199)) % 0.46/0.66 (step @p178 :rule eq-symm :args (@t2 @t62)) % 0.46/0.66 (step @p179 :rule cong :premises (@p178) :args (@t198)) % 0.46/0.66 (step @p180 :rule nary_cong :premises (@p179 @p177 @p176 @p175) :args (@t200)) % 0.46/0.66 (step @p181 :rule aci_norm :args ((= @t201 @t200))) % 0.46/0.66 (step @p182 :rule trans :premises (@p181 @p180)) % 0.46/0.66 (step @p183 :rule cong :premises (@p182) :args ((forall @t92 @t201))) % 0.46/0.66 (step @p184 :rule trans :premises (@p183 @p174)) % 0.46/0.66 (step @p185 :rule trans :premises (@p184 @p173)) % 0.46/0.66 (step @p186 :rule aci_norm :args ((= (or @t199 (or @t198 @t197)) @t201))) % 0.46/0.66 (step @p187 :rule bool-and-de-morgan :args (@t88 @t87 true)) % 0.46/0.66 (step @p188 :rule nary_cong :premises (@p177 @p187) :args ((or @t199 (not (and @t88 @t87))))) % 0.46/0.66 (step @p189 :rule bool-and-de-morgan :args (@t90 @t88 (and @t87))) % 0.46/0.66 (step @p190 :rule trans :premises (@p189 @p188)) % 0.46/0.66 (step @p191 :rule trans :premises (@p190 @p186)) % 0.46/0.66 (step @p192 :rule cong :premises (@p191) :args (@t202)) % 0.46/0.66 (step @p193 :rule trans :premises (@p192 @p185)) % 0.46/0.66 (step @p194 :rule cong :premises (@p193) :args (@t203)) % 0.46/0.66 (step @p195 :rule exists-elim :args ((= @t93 @t203))) % 0.46/0.66 (step @p196 :rule trans :premises (@p195 @p194)) % 0.46/0.66 (step @p197 :rule refl :args (@t94)) % 0.46/0.66 (step @p198 :rule cong :premises (@p197 @p196) :args (@t95)) % 0.46/0.66 (step @p199 :rule refl :args (@t101)) % 0.46/0.66 (step @p200 :rule cong :premises (@p199 @p198) :args (@t102)) % 0.46/0.66 (step @p201 :rule cong :premises (@p200) :args (@t103)) % 0.46/0.66 (step @p202 :rule trans :premises (@p201 @p164)) % 0.46/0.66 (step @p203 :rule eq_resolve :premises (@p45 @p202)) % 0.46/0.66 (step @p204 :rule instantiate :premises (@p203) :args ((@list @t166 @t161 @t160))) % 0.46/0.66 (step @p205 :rule bool-double-not-elim :args (@t173)) % 0.46/0.66 (step @p206 :rule refl :args (@t180)) % 0.46/0.66 (step @p207 :rule nary_cong :premises (@p206 @p205) :args ((or @t180 (not @t174)))) % 0.46/0.66 (step @p208 :rule cnf_or_neg :args (@t180 3)) % 0.46/0.66 (step @p209 :rule eq_resolve :premises (@p208 @p207)) % 0.46/0.66 (step @p210 :rule reordering :premises (@p209) :args ((or @t173 @t180))) % 0.46/0.66 (step @p211 :rule chain_m_resolution :premises (@p210 @p133) :args (@t173 @t181 @t182)) % 0.46/0.66 (step @p212 :rule bool-double-not-elim :args (@t175)) % 0.46/0.66 (step @p213 :rule nary_cong :premises (@p206 @p212) :args ((or @t180 (not @t176)))) % 0.46/0.66 (step @p214 :rule cnf_or_neg :args (@t180 2)) % 0.46/0.66 (step @p215 :rule eq_resolve :premises (@p214 @p213)) % 0.46/0.66 (step @p216 :rule reordering :premises (@p215) :args ((or @t175 @t180))) % 0.46/0.66 (step @p217 :rule chain_m_resolution :premises (@p216 @p133) :args (@t175 @t181 @t182)) % 0.46/0.66 (step @p218 :rule bool-double-not-elim :args (@t177)) % 0.46/0.66 (step @p219 :rule nary_cong :premises (@p206 @p218) :args ((or @t180 (not @t178)))) % 0.46/0.66 (step @p220 :rule cnf_or_neg :args (@t180 1)) % 0.46/0.66 (step @p221 :rule eq_resolve :premises (@p220 @p219)) % 0.46/0.66 (step @p222 :rule reordering :premises (@p221) :args ((or @t177 @t180))) % 0.46/0.66 (step @p223 :rule chain_m_resolution :premises (@p222 @p133) :args (@t177 @t181 @t182)) % 0.46/0.66 (step @p224 :rule cnf_or_neg :args (@t180 0)) % 0.46/0.66 (step @p225 :rule chain_m_resolution :premises (@p224 @p133) :args (@t204 @t181 @t182)) % 0.46/0.66 (step @p226 :rule cnf_or_pos :args (@t211)) % 0.46/0.66 (step @p227 :rule reordering :premises (@p226) :args ((or @t179 @t178 @t176 @t174 @t210 (not @t211)))) % 0.46/0.66 (step @p228 :rule chain_m_resolution :premises (@p227 @p225 @p223 @p217 @p211 @p204) :args (@t210 @t212 (@list @t179 @t177 @t175 @t173 @t211))) % 0.46/0.66 (step @p229 :rule aci_norm :args ((= (or @t217 @t105) @t216))) % 0.46/0.66 (step @p230 :rule refl :args (@t105)) % 0.46/0.66 (step @p231 :rule refl :args (@t157)) % 0.46/0.66 (step @p232 :rule refl :args (@t213)) % 0.46/0.66 (step @p233 :rule refl :args (@t214)) % 0.46/0.66 (step @p234 :rule refl :args (@t215)) % 0.46/0.66 (step @p235 :rule nary_cong :premises (@p90 @p234 @p233 @p232 @p78 @p110 @p231) :args (@t218)) % 0.46/0.66 (step @p236 :rule aci_norm :args ((= (or @t146 (or @t215 (or @t214 (or @t213 (or @t126 @t219))))) @t218))) % 0.46/0.66 (step @p237 :rule trans :premises (@p236 @p235)) % 0.46/0.66 (step @p238 :rule bool-and-de-morgan :args (@t13 @t10 true)) % 0.46/0.66 (step @p239 :rule nary_cong :premises (@p78 @p238) :args ((or @t126 @t220))) % 0.46/0.66 (step @p240 :rule bool-and-de-morgan :args (@t17 @t13 (and @t10))) % 0.46/0.66 (step @p241 :rule trans :premises (@p240 @p239)) % 0.46/0.66 (step @p242 :rule nary_cong :premises (@p232 @p241) :args ((or @t213 (not (and @t17 @t13 @t10))))) % 0.46/0.66 (step @p243 :rule bool-and-de-morgan :args (@t30 @t17 (and @t13 @t10))) % 0.46/0.66 (step @p244 :rule trans :premises (@p243 @p242)) % 0.46/0.66 (step @p245 :rule nary_cong :premises (@p233 @p244) :args ((or @t214 (not (and @t30 @t17 @t13 @t10))))) % 0.46/0.66 (step @p246 :rule bool-and-de-morgan :args (@t31 @t30 (and @t17 @t13 @t10))) % 0.46/0.66 (step @p247 :rule trans :premises (@p246 @p245)) % 0.46/0.66 (step @p248 :rule nary_cong :premises (@p234 @p247) :args ((or @t215 (not (and @t31 @t30 @t17 @t13 @t10))))) % 0.46/0.66 (step @p249 :rule bool-and-de-morgan :args (@t33 @t31 (and @t30 @t17 @t13 @t10))) % 0.46/0.66 (step @p250 :rule trans :premises (@p249 @p248)) % 0.46/0.66 (step @p251 :rule nary_cong :premises (@p95 @p250) :args ((or @t146 (not (and @t33 @t31 @t30 @t17 @t13 @t10))))) % 0.46/0.66 (step @p252 :rule bool-and-de-morgan :args (@t20 @t33 (and @t31 @t30 @t17 @t13 @t10))) % 0.46/0.66 (step @p253 :rule trans :premises (@p252 @p251)) % 0.46/0.66 (step @p254 :rule trans :premises (@p253 @p237)) % 0.46/0.66 (step @p255 :rule nary_cong :premises (@p254 @p230) :args ((or @t221 @t105))) % 0.46/0.66 (step @p256 :rule trans :premises (@p255 @p229)) % 0.46/0.66 (step @p257 :rule bool-impl-elim :args (@t106 @t105)) % 0.46/0.66 (step @p258 :rule trans :premises (@p257 @p256)) % 0.46/0.66 (step @p259 :rule cong :premises (@p258) :args (@t107)) % 0.46/0.66 (step @p260 :rule eq_resolve :premises (@p61 @p259)) % 0.46/0.66 (step @p261 :rule eq-symm :args (@t205 @t222)) % 0.46/0.66 (step @p262 :rule refl :args (@t174)) % 0.46/0.66 (step @p263 :rule refl :args (@t223)) % 0.46/0.66 (step @p264 :rule refl :args (@t176)) % 0.46/0.66 (step @p265 :rule refl :args (@t225)) % 0.46/0.66 (step @p266 :rule refl :args (@t227)) % 0.46/0.66 (step @p267 :rule refl :args (@t229)) % 0.46/0.66 (step @p268 :rule refl :args (@t179)) % 0.46/0.66 (step @p269 :rule nary_cong :premises (@p268 @p267 @p266 @p265 @p264 @p263 @p262 @p261) :args (@t230)) % 0.46/0.66 (step @p270 :rule refl :args (@t231)) % 0.46/0.66 (step @p271 :rule cong :premises (@p270 @p269) :args ((=> @t231 @t230))) % 0.46/0.66 (assume-push @p500 @t231) % 0.46/0.66 (step @p273 :rule instantiate :premises (@p260) :args ((@list @t161 @t166 @t160))) % 0.46/0.66 (step-pop @p501 :rule scope :premises (@p273)) % 0.46/0.66 (step @p274 :rule process_scope :premises (@p501) :args (@t230)) % 0.46/0.66 (step @p276 :rule eq_resolve :premises (@p274 @p271)) % 0.46/0.66 (step @p277 :rule implies_elim :premises (@p276)) % 0.46/0.66 (step @p278 :rule chain_m_resolution :premises (@p277 @p260) :args (@t233 @t234 (@list @t231))) % 0.46/0.66 (step @p279 :rule aci_norm :args ((= (or @t236 @t68) (or @t19 @t215 @t235 @t140 @t157 @t68)))) % 0.46/0.66 (step @p280 :rule refl :args (@t68)) % 0.46/0.66 (step @p281 :rule refl :args (@t235)) % 0.46/0.66 (step @p282 :rule nary_cong :premises (@p90 @p234 @p281 @p110 @p231) :args (@t237)) % 0.46/0.66 (step @p283 :rule aci_norm :args ((= (or @t146 (or @t215 (or @t235 @t219))) @t237))) % 0.46/0.66 (step @p284 :rule trans :premises (@p283 @p282)) % 0.46/0.66 (step @p285 :rule nary_cong :premises (@p281 @p238) :args ((or @t235 @t220))) % 0.46/0.66 (step @p286 :rule bool-and-de-morgan :args (@t49 @t13 (and @t10))) % 0.46/0.66 (step @p287 :rule trans :premises (@p286 @p285)) % 0.46/0.66 (step @p288 :rule nary_cong :premises (@p234 @p287) :args ((or @t215 (not (and @t49 @t13 @t10))))) % 0.46/0.66 (step @p289 :rule bool-and-de-morgan :args (@t33 @t49 (and @t13 @t10))) % 0.46/0.66 (step @p290 :rule trans :premises (@p289 @p288)) % 0.46/0.66 (step @p291 :rule nary_cong :premises (@p95 @p290) :args ((or @t146 (not (and @t33 @t49 @t13 @t10))))) % 0.46/0.66 (step @p292 :rule bool-and-de-morgan :args (@t20 @t33 (and @t49 @t13 @t10))) % 0.46/0.66 (step @p293 :rule trans :premises (@p292 @p291)) % 0.46/0.66 (step @p294 :rule trans :premises (@p293 @p284)) % 0.46/0.66 (step @p295 :rule nary_cong :premises (@p294 @p280) :args ((or @t238 @t68))) % 0.46/0.66 (step @p296 :rule trans :premises (@p295 @p279)) % 0.46/0.66 (step @p297 :rule bool-impl-elim :args (@t50 @t68)) % 0.46/0.66 (step @p298 :rule trans :premises (@p297 @p296)) % 0.46/0.66 (step @p299 :rule cong :premises (@p298) :args (@t69)) % 0.46/0.66 (step @p300 :rule eq_resolve :premises (@p19 @p299)) % 0.46/0.66 (step @p301 :rule instantiate :premises (@p300) :args (@t239)) % 0.46/0.66 (step @p302 :rule bool-impl-elim :args (@t17 @t72)) % 0.46/0.66 (step @p303 :rule cong :premises (@p302) :args (@t73)) % 0.46/0.66 (step @p304 :rule eq_resolve :premises (@p22 @p303)) % 0.46/0.66 (step @p305 :rule instantiate :premises (@p304) :args (@t240)) % 0.46/0.66 (step @p306 :rule cnf_or_pos :args (@t243)) % 0.46/0.66 (step @p307 :rule reordering :premises (@p306) :args ((or @t176 @t242 (not @t243)))) % 0.46/0.66 (step @p308 :rule chain_m_resolution :premises (@p307 @p217 @p305) :args (@t242 @t244 (@list @t175 @t243))) % 0.46/0.66 (step @p309 :rule cnf_and_pos :args (@t242 0)) % 0.46/0.66 (step @p310 :rule reordering :premises (@p309) :args ((or @t241 (not @t242)))) % 0.46/0.66 (step @p311 :rule chain_m_resolution :premises (@p310 @p308) :args (@t241 @t234 (@list @t242))) % 0.46/0.66 (step @p312 :rule aci_norm :args ((= (or @t126 @t245) (or @t126 @t19 @t127 @t34)))) % 0.46/0.66 (step @p313 :rule aci_norm :args ((= (or (or @t19 @t127) @t34) @t245))) % 0.46/0.66 (step @p314 :rule refl :args (@t34)) % 0.46/0.66 (step @p315 :rule nary_cong :premises (@p90 @p79) :args ((or @t146 @t127))) % 0.46/0.66 (step @p316 :rule bool-and-de-morgan :args (@t20 @t18 true)) % 0.46/0.66 (step @p317 :rule trans :premises (@p316 @p315)) % 0.46/0.66 (step @p318 :rule nary_cong :premises (@p317 @p314) :args ((or (not @t35) @t34))) % 0.46/0.66 (step @p319 :rule trans :premises (@p318 @p313)) % 0.46/0.66 (step @p320 :rule bool-impl-elim :args (@t35 @t34)) % 0.46/0.66 (step @p321 :rule trans :premises (@p320 @p319)) % 0.46/0.66 (step @p322 :rule nary_cong :premises (@p78 @p321) :args ((or @t126 @t36))) % 0.46/0.66 (step @p323 :rule trans :premises (@p322 @p312)) % 0.46/0.66 (step @p324 :rule bool-impl-elim :args (@t17 @t36)) % 0.46/0.66 (step @p325 :rule trans :premises (@p324 @p323)) % 0.46/0.66 (step @p326 :rule cong :premises (@p325) :args (@t37)) % 0.46/0.66 (step @p327 :rule eq_resolve :premises (@p4 @p326)) % 0.46/0.66 (step @p328 :rule instantiate :premises (@p327) :args (@t240)) % 0.46/0.66 (step @p329 :rule cnf_or_pos :args (@t247)) % 0.46/0.66 (step @p330 :rule reordering :premises (@p329) :args ((or @t179 @t178 @t176 @t246 (not @t247)))) % 0.46/0.66 (step @p331 :rule chain_m_resolution :premises (@p330 @p225 @p223 @p217 @p328) :args (@t246 (@list true false false false) (@list @t179 @t177 @t175 @t247))) % 0.46/0.66 (step @p332 :rule cnf_and_pos :args (@t246 3)) % 0.46/0.66 (step @p333 :rule reordering :premises (@p332) :args ((or @t228 @t248))) % 0.46/0.66 (step @p334 :rule chain_m_resolution :premises (@p333 @p331) :args (@t228 @t234 @t249)) % 0.46/0.66 (step @p335 :rule bool-double-not-elim :args (@t171)) % 0.46/0.66 (step @p336 :rule nary_cong :premises (@p206 @p335) :args ((or @t180 (not @t172)))) % 0.46/0.66 (step @p337 :rule cnf_or_neg :args (@t180 4)) % 0.46/0.66 (step @p338 :rule eq_resolve :premises (@p337 @p336)) % 0.46/0.66 (step @p339 :rule reordering :premises (@p338) :args ((or @t171 @t180))) % 0.46/0.66 (step @p340 :rule chain_m_resolution :premises (@p339 @p133) :args (@t171 @t181 @t182)) % 0.46/0.66 (step @p341 :rule cnf_or_pos :args (@t251)) % 0.46/0.66 (step @p342 :rule reordering :premises (@p341) :args ((or @t179 @t174 @t172 @t229 @t250 @t206 (not @t251)))) % 0.46/0.66 (step @p343 :rule chain_m_resolution :premises (@p342 @p225 @p211 @p340 @p334 @p311 @p301) :args (@t206 @t252 (@list @t179 @t173 @t171 @t228 @t241 @t251))) % 0.46/0.66 (step @p344 :rule cnf_and_pos :args (@t246 6)) % 0.46/0.66 (step @p345 :rule reordering :premises (@p344) :args ((or @t224 @t248))) % 0.46/0.66 (step @p346 :rule chain_m_resolution :premises (@p345 @p331) :args (@t224 @t234 @t249)) % 0.46/0.66 (step @p347 :rule cnf_and_pos :args (@t246 5)) % 0.46/0.66 (step @p348 :rule reordering :premises (@p347) :args ((or @t226 @t248))) % 0.46/0.66 (step @p349 :rule chain_m_resolution :premises (@p348 @p331) :args (@t226 @t234 @t249)) % 0.46/0.66 (step @p350 :rule cnf_or_pos :args (@t233)) % 0.46/0.66 (step @p351 :rule reordering :premises (@p350) :args ((or @t179 @t176 @t174 @t229 @t227 @t225 @t223 @t232 (not @t233)))) % 0.46/0.66 (step @p352 :rule chain_m_resolution :premises (@p351 @p225 @p217 @p211 @p334 @p349 @p346 @p343 @p278) :args (@t232 (@list true false false false false false false false) (@list @t179 @t175 @t173 @t228 @t226 @t224 @t206 @t233))) % 0.46/0.66 (step @p353 :rule aci_norm :args ((= @t259 (or @t19 @t215 @t214 @t126 @t257 @t256 @t255)))) % 0.46/0.66 (step @p354 :rule cong :premises (@p353) :args (@t260)) % 0.46/0.66 (step @p355 :rule quant-merge-prenex :args ((= (forall @t23 @t262) @t260))) % 0.46/0.66 (step @p356 :rule alpha_equiv :args (@t263 (@list @t253 @t254) (@list @t1 @t264))) % 0.46/0.66 (step @p357 :rule nary_cong :premises (@p80 @p234 @p233 @p78 @p356) :args (@t265)) % 0.46/0.66 (step @p358 :rule quant-miniscope-or :args ((= @t262 @t265))) % 0.46/0.66 (step @p359 :rule trans :premises (@p358 @p357)) % 0.46/0.66 (step @p360 :rule symm :premises (@p359)) % 0.46/0.66 (step @p361 :rule cong :premises (@p360) :args ((forall @t23 @t271))) % 0.46/0.66 (step @p362 :rule trans :premises (@p361 @p355)) % 0.46/0.66 (step @p363 :rule trans :premises (@p362 @p354)) % 0.46/0.66 (step @p364 :rule aci_norm :args ((= (or (or @t19 @t215 @t214 @t126) @t270) @t271))) % 0.46/0.66 (step @p365 :rule refl :args (@t270)) % 0.46/0.66 (step @p366 :rule nary_cong :premises (@p90 @p234 @p233 @p78) :args (@t272)) % 0.46/0.66 (step @p367 :rule aci_norm :args ((= (or @t146 (or @t215 (or @t214 @t126))) @t272))) % 0.46/0.66 (step @p368 :rule trans :premises (@p367 @p366)) % 0.46/0.66 (step @p369 :rule bool-and-de-morgan :args (@t31 @t17 true)) % 0.46/0.66 (step @p370 :rule nary_cong :premises (@p234 @p369) :args ((or @t215 (not (and @t31 @t17))))) % 0.46/0.66 (step @p371 :rule bool-and-de-morgan :args (@t33 @t31 (and @t17))) % 0.46/0.66 (step @p372 :rule trans :premises (@p371 @p370)) % 0.46/0.66 (step @p373 :rule nary_cong :premises (@p95 @p372) :args ((or @t146 (not (and @t33 @t31 @t17))))) % 0.46/0.66 (step @p374 :rule bool-and-de-morgan :args (@t20 @t33 (and @t31 @t17))) % 0.46/0.66 (step @p375 :rule trans :premises (@p374 @p373)) % 0.46/0.66 (step @p376 :rule trans :premises (@p375 @p368)) % 0.46/0.66 (step @p377 :rule nary_cong :premises (@p376 @p365) :args ((or (not @t115) @t270))) % 0.46/0.66 (step @p378 :rule trans :premises (@p377 @p364)) % 0.46/0.66 (step @p379 :rule bool-impl-elim :args (@t115 @t270)) % 0.46/0.66 (step @p380 :rule trans :premises (@p379 @p378)) % 0.46/0.66 (step @p381 :rule cong :premises (@p380) :args ((forall @t23 (=> @t115 @t270)))) % 0.46/0.66 (step @p382 :rule trans :premises (@p381 @p363)) % 0.46/0.66 (step @p383 :rule aci_norm :args ((= @t274 @t268))) % 0.46/0.66 (step @p384 :rule cong :premises (@p383) :args (@t275)) % 0.46/0.66 (step @p385 :rule quant-merge-prenex :args ((= (forall @t15 @t277) @t275))) % 0.46/0.66 (step @p386 :rule alpha_equiv :args (@t278 (@list @t264) @t155)) % 0.46/0.66 (step @p387 :rule nary_cong :premises (@p110 @p386) :args (@t279)) % 0.46/0.66 (step @p388 :rule quant-miniscope-or :args ((= @t277 @t279))) % 0.46/0.66 (step @p389 :rule trans :premises (@p388 @p387)) % 0.46/0.66 (step @p390 :rule symm :premises (@p389)) % 0.46/0.66 (step @p391 :rule cong :premises (@p390) :args ((forall @t15 (or @t140 @t280)))) % 0.46/0.66 (step @p392 :rule trans :premises (@p391 @p385)) % 0.46/0.66 (step @p393 :rule trans :premises (@p392 @p384)) % 0.46/0.66 (step @p394 :rule bool-impl-elim :args (@t13 @t280)) % 0.46/0.66 (step @p395 :rule cong :premises (@p394) :args ((forall @t15 (=> @t13 @t280)))) % 0.46/0.66 (step @p396 :rule trans :premises (@p395 @p393)) % 0.46/0.66 (step @p397 :rule bool-impl-elim :args (@t10 @t111)) % 0.46/0.66 (step @p398 :rule cong :premises (@p397) :args (@t112)) % 0.46/0.66 (step @p399 :rule cong :premises (@p123 @p398) :args (@t113)) % 0.46/0.66 (step @p400 :rule cong :premises (@p399) :args (@t114)) % 0.46/0.66 (step @p401 :rule trans :premises (@p400 @p396)) % 0.46/0.66 (step @p402 :rule refl :args (@t115)) % 0.46/0.66 (step @p403 :rule cong :premises (@p402 @p401) :args (@t116)) % 0.46/0.66 (step @p404 :rule cong :premises (@p403) :args (@t117)) % 0.46/0.66 (step @p405 :rule trans :premises (@p404 @p382)) % 0.46/0.66 (step @p406 :rule eq_resolve :premises (@p65 @p405)) % 0.46/0.66 (step @p407 :rule instantiate :premises (@p406) :args (@t239)) % 0.46/0.66 (step @p408 :rule cnf_or_pos :args (@t281)) % 0.46/0.66 (step @p409 :rule reordering :premises (@p408) :args ((or @t179 @t176 @t174 @t172 @t229 @t227 @t222 (not @t281)))) % 0.46/0.66 (step @p410 :rule chain_m_resolution :premises (@p409 @p225 @p217 @p211 @p340 @p334 @p349 @p407) :args (@t222 @t282 (@list @t179 @t175 @t173 @t171 @t228 @t226 @t281))) % 0.46/0.66 (step @p411 :rule cnf_equiv_pos1 :args (@t232)) % 0.46/0.66 (step @p412 :rule reordering :premises (@p411) :args ((or (not @t222) @t205 (not @t232)))) % 0.46/0.66 (step @p413 :rule chain_m_resolution :premises (@p412 @p410 @p352) :args (@t205 @t244 (@list @t222 @t232))) % 0.46/0.66 (step @p414 :rule cnf_and_neg :args (@t207)) % 0.46/0.66 (step @p415 :rule reordering :premises (@p414) :args ((or @t223 @t207 (not @t205)))) % 0.46/0.66 (step @p416 :rule chain_m_resolution :premises (@p415 @p343 @p413) :args (@t207 @t244 (@list @t206 @t205))) % 0.46/0.66 (step @p417 :rule cnf_equiv_pos2 :args (@t210)) % 0.46/0.66 (step @p418 :rule reordering :premises (@p417) :args ((or @t209 (not @t207) (not @t210)))) % 0.46/0.66 (step @p419 :rule chain_m_resolution :premises (@p418 @p416 @p228) :args (@t209 @t244 (@list @t207 @t210))) % 0.46/0.66 (step @p420 :rule true_intro :premises (@p419)) % 0.46/0.66 (step @p421 :rule aci_norm :args ((= @t287 (or @t19 @t127 @t126 @t285 @t284)))) % 0.46/0.66 (step @p422 :rule cong :premises (@p421) :args (@t288)) % 0.46/0.66 (step @p423 :rule quant-merge-prenex :args ((= (forall @t23 @t290) @t288))) % 0.46/0.66 (step @p424 :rule alpha_equiv :args (@t291 (@list @t283) (@list @t1))) % 0.46/0.66 (step @p425 :rule nary_cong :premises (@p80 @p79 @p78 @p424) :args (@t292)) % 0.46/0.66 (step @p426 :rule quant-miniscope-or :args ((= @t290 @t292))) % 0.46/0.66 (step @p427 :rule trans :premises (@p426 @p425)) % 0.46/0.66 (step @p428 :rule symm :premises (@p427)) % 0.46/0.66 (step @p429 :rule cong :premises (@p428) :args ((forall @t23 @t294))) % 0.46/0.66 (step @p430 :rule trans :premises (@p429 @p423)) % 0.46/0.66 (step @p431 :rule trans :premises (@p430 @p422)) % 0.46/0.66 (step @p432 :rule aci_norm :args ((= (or @t145 @t293) @t294))) % 0.46/0.66 (step @p433 :rule refl :args (@t293)) % 0.46/0.66 (step @p434 :rule nary_cong :premises (@p99 @p433) :args ((or @t148 @t293))) % 0.46/0.66 (step @p435 :rule trans :premises (@p434 @p432)) % 0.46/0.66 (step @p436 :rule bool-impl-elim :args (@t21 @t293)) % 0.46/0.66 (step @p437 :rule trans :premises (@p436 @p435)) % 0.46/0.66 (step @p438 :rule cong :premises (@p437) :args ((forall @t23 (=> @t21 @t293)))) % 0.46/0.66 (step @p439 :rule trans :premises (@p438 @p431)) % 0.46/0.66 (step @p440 :rule bool-impl-elim :args (@t13 @t56)) % 0.46/0.66 (step @p441 :rule cong :premises (@p440) :args (@t57)) % 0.46/0.66 (step @p442 :rule cong :premises (@p127 @p441) :args (@t58)) % 0.46/0.66 (step @p443 :rule cong :premises (@p442) :args (@t59)) % 0.46/0.66 (step @p444 :rule trans :premises (@p443 @p439)) % 0.46/0.66 (step @p445 :rule eq_resolve :premises (@p14 @p444)) % 0.46/0.66 (step @p446 :rule instantiate :premises (@p445) :args ((@list @t161 @t160))) % 0.46/0.66 (step @p447 :rule cnf_or_pos :args (@t296)) % 0.46/0.66 (step @p448 :rule reordering :premises (@p447) :args ((or @t179 @t178 @t176 @t174 @t295 (not @t296)))) % 0.46/0.66 (step @p449 :rule chain_m_resolution :premises (@p448 @p225 @p223 @p217 @p211 @p446) :args (@t295 @t212 (@list @t179 @t177 @t175 @t173 @t296))) % 0.46/0.66 (step @p450 :rule aci_norm :args ((= (or @t236 @t48) (or @t19 @t215 @t235 @t140 @t157 @t48)))) % 0.46/0.66 (step @p451 :rule refl :args (@t48)) % 0.46/0.66 (step @p452 :rule nary_cong :premises (@p294 @p451) :args ((or @t238 @t48))) % 0.46/0.66 (step @p453 :rule trans :premises (@p452 @p450)) % 0.46/0.66 (step @p454 :rule bool-impl-elim :args (@t50 @t48)) % 0.46/0.66 (step @p455 :rule trans :premises (@p454 @p453)) % 0.46/0.66 (step @p456 :rule cong :premises (@p455) :args (@t51)) % 0.46/0.66 (step @p457 :rule eq_resolve :premises (@p10 @p456)) % 0.46/0.66 (step @p458 :rule instantiate :premises (@p457) :args (@t239)) % 0.46/0.66 (step @p459 :rule cnf_or_pos :args (@t298)) % 0.46/0.66 (step @p460 :rule reordering :premises (@p459) :args ((or @t179 @t174 @t172 @t229 @t250 @t297 (not @t298)))) % 0.46/0.66 (step @p461 :rule chain_m_resolution :premises (@p460 @p225 @p211 @p340 @p334 @p311 @p458) :args (@t297 @t252 (@list @t179 @t173 @t171 @t228 @t241 @t298))) % 0.46/0.66 (step @p462 :rule symm :premises (@p461)) % 0.46/0.66 (step @p463 :rule cong :premises (@p462 @p449) :args (@t165)) % 0.46/0.66 (step @p464 :rule trans :premises (@p463 @p420)) % 0.46/0.66 (step @p465 :rule true_elim :premises (@p464)) % 0.46/0.66 (step @p466 :rule instantiate :premises (@p203) :args ((@list @t160 @t161 @t160))) % 0.46/0.66 (step @p467 :rule cnf_or_pos :args (@t303)) % 0.46/0.66 (step @p468 :rule reordering :premises (@p467) :args ((or @t179 @t178 @t176 @t174 @t302 (not @t303)))) % 0.46/0.66 (step @p469 :rule chain_m_resolution :premises (@p468 @p225 @p223 @p217 @p211 @p466) :args (@t302 @t212 (@list @t179 @t177 @t175 @t173 @t303))) % 0.46/0.66 (step @p470 :rule aci_norm :args ((= (or @t217 @t108) (or @t19 @t215 @t214 @t213 @t126 @t140 @t157 @t108)))) % 0.46/0.66 (step @p471 :rule refl :args (@t108)) % 0.46/0.66 (step @p472 :rule nary_cong :premises (@p254 @p471) :args ((or @t221 @t108))) % 0.46/0.66 (step @p473 :rule trans :premises (@p472 @p470)) % 0.46/0.66 (step @p474 :rule bool-impl-elim :args (@t106 @t108)) % 0.46/0.66 (step @p475 :rule trans :premises (@p474 @p473)) % 0.46/0.66 (step @p476 :rule cong :premises (@p475) :args (@t109)) % 0.46/0.66 (step @p477 :rule eq_resolve :premises (@p63 @p476)) % 0.46/0.66 (step @p478 :rule instantiate :premises (@p477) :args ((@list @t161 @t160 @t160))) % 0.46/0.66 (step @p479 :rule cnf_or_pos :args (@t304)) % 0.46/0.66 (step @p480 :rule factoring :premises (@p479)) % 0.46/0.66 (step @p481 :rule reordering :premises (@p480) :args ((or @t179 @t176 @t174 @t229 @t227 @t225 @t299 (not @t304)))) % 0.46/0.66 (step @p482 :rule chain_m_resolution :premises (@p481 @p225 @p217 @p211 @p334 @p349 @p346 @p478) :args (@t299 @t282 (@list @t179 @t175 @t173 @t228 @t226 @t224 @t304))) % 0.46/0.66 (step @p483 :rule cnf_and_neg :args (@t300)) % 0.46/0.66 (step @p484 :rule reordering :premises (@p483) :args ((or @t174 (not @t299) @t300))) % 0.46/0.66 (step @p485 :rule chain_m_resolution :premises (@p484 @p211 @p482) :args (@t300 @t244 (@list @t173 @t299))) % 0.46/0.66 (step @p486 :rule cnf_equiv_pos2 :args (@t302)) % 0.46/0.66 (step @p487 :rule reordering :premises (@p486) :args ((or @t301 (not @t300) (not @t302)))) % 0.46/0.66 (step @p488 :rule chain_m_resolution :premises (@p487 @p485 @p469) :args (@t301 @t244 (@list @t300 @t302))) % 0.46/0.66 (step @p489 :rule true_intro :premises (@p488)) % 0.46/0.66 (step @p490 :rule refl :args (@t160)) % 0.46/0.66 (step @p491 :rule cong :premises (@p490 @p449) :args (@t168)) % 0.46/0.66 (step @p492 :rule trans :premises (@p491 @p489)) % 0.46/0.66 (step @p493 :rule true_elim :premises (@p492)) % 0.46/0.66 (step @p494 :rule refl :args (@t162)) % 0.46/0.66 (step @p495 :rule cong :premises (@p461 @p494) :args (@t167)) % 0.46/0.66 (step @p496 :rule trans :premises (@p495 @p463 @p420)) % 0.46/0.66 (step @p497 :rule true_elim :premises (@p496)) % 0.46/0.66 (step @p498 :rule cnf_and_neg :args (@t169)) % 0.46/0.66 (step @p499 false :rule chain_m_resolution :premises (@p498 @p497 @p493 @p465 @p135) :args (false (@list false false false true) (@list @t167 @t168 @t165 @t169))) % 0.46/0.66 ) % 0.46/0.66 % SZS output end Proof % 0.46/0.66 % cvc5 exiting %------------------------------------------------------------------------------