%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT297+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 : n017.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 08:30:10 AM UTC 2026 % Result : Theorem 1.11s 1.31s % Output : Proof 1.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT297+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 % 0.16/0.34 % Computer : n017.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 06:13:16 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 1.11/1.31 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.11/1.31 % SZS status Theorem % 1.11/1.31 % SZS output start Proof % 1.11/1.31 ( % 1.11/1.31 (declare-sort $$unsorted 0) % 1.11/1.31 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.k1_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.31 (declare-const tptp.k2_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.31 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 1.11/1.31 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.k1_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.31 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.k1_xboole_0 $$unsorted) % 1.11/1.31 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 1.11/1.31 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 1.11/1.31 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.31 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 1.11/1.31 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.v1_realset1 (-> $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 1.11/1.31 (declare-const tptp.k2_tarski (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.31 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.k4_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.31 (declare-const tptp.k3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.31 (declare-const tptp.k2_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.11/1.31 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 1.11/1.31 (declare-const tptp.k4_tarski (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.31 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.11/1.31 (define @t1 () (@var "A" $$unsorted)) % 1.11/1.31 (define @t2 () (@var "B" $$unsorted)) % 1.11/1.31 (define @t3 () (tptp.m2_lattice4 @t2 @t1)) % 1.11/1.31 (define @t4 () (@var "D" $$unsorted)) % 1.11/1.31 (define @t5 () (@var "C" $$unsorted)) % 1.11/1.31 (define @t6 () (tptp.r2_hidden (tptp.k4_lattices @t1 @t5 @t4) @t2)) % 1.11/1.31 (define @t7 () (tptp.r2_hidden @t4 @t2)) % 1.11/1.31 (define @t8 () (tptp.r2_hidden @t5 @t2)) % 1.11/1.31 (define @t9 () (and @t8 @t7)) % 1.11/1.31 (define @t10 () (= @t9 @t6)) % 1.11/1.31 (define @t11 () (tptp.u1_struct_0 @t1)) % 1.11/1.31 (define @t12 () (tptp.m1_subset_1 @t4 @t11)) % 1.11/1.31 (define @t13 () (@list @t4)) % 1.11/1.31 (define @t14 () (forall @t13 (=> @t12 @t10))) % 1.11/1.31 (define @t15 () (tptp.m1_subset_1 @t5 @t11)) % 1.11/1.31 (define @t16 () (=> @t15 @t14)) % 1.11/1.31 (define @t17 () (@list @t5)) % 1.11/1.31 (define @t18 () (forall @t17 @t16)) % 1.11/1.31 (define @t19 () (=> @t18 @t3)) % 1.11/1.31 (define @t20 () (tptp.k1_zfmisc_1 @t11)) % 1.11/1.31 (define @t21 () (tptp.m1_subset_1 @t2 @t20)) % 1.11/1.31 (define @t22 () (=> @t21 @t19)) % 1.11/1.31 (define @t23 () (@list @t2)) % 1.11/1.31 (define @t24 () (forall @t23 @t22)) % 1.11/1.31 (define @t25 () (tptp.l3_lattices @t1)) % 1.11/1.31 (define @t26 () (tptp.v10_lattices @t1)) % 1.11/1.31 (define @t27 () (tptp.v3_struct_0 @t1)) % 1.11/1.31 (define @t28 () (not @t27)) % 1.11/1.31 (define @t29 () (and @t28 @t26 @t25)) % 1.11/1.31 (define @t30 () (=> @t29 @t24)) % 1.11/1.31 (define @t31 () (@list @t1)) % 1.11/1.31 (define @t32 () (forall @t31 @t30)) % 1.11/1.31 (define @t33 () (not @t32)) % 1.11/1.31 (define @t34 () (tptp.r2_hidden @t1 @t2)) % 1.11/1.31 (define @t35 () (@list @t1 @t2)) % 1.11/1.31 (define @t36 () (tptp.v1_funct_1 @t1)) % 1.11/1.31 (define @t37 () (tptp.v1_xboole_0 @t1)) % 1.11/1.31 (define @t38 () (tptp.v9_lattices @t1)) % 1.11/1.31 (define @t39 () (tptp.v7_lattices @t1)) % 1.11/1.31 (define @t40 () (tptp.v6_lattices @t1)) % 1.11/1.31 (define @t41 () (tptp.v5_lattices @t1)) % 1.11/1.31 (define @t42 () (tptp.v4_lattices @t1)) % 1.11/1.31 (define @t43 () (and @t28 @t42 @t41 @t40 @t39 (tptp.v8_lattices @t1) @t38)) % 1.11/1.31 (define @t44 () (and @t28 @t26)) % 1.11/1.31 (define @t45 () (=> @t44 @t43)) % 1.11/1.31 (define @t46 () (forall @t31 (=> @t25 @t45))) % 1.11/1.31 (define @t47 () (not @t37)) % 1.11/1.31 (define @t48 () (tptp.v1_realset1 @t1)) % 1.11/1.31 (define @t49 () (not @t48)) % 1.11/1.31 (define @t50 () (tptp.k2_zfmisc_1 @t1 @t2)) % 1.11/1.31 (define @t51 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 @t50))) % 1.11/1.31 (define @t52 () (@list @t1 @t2 @t5)) % 1.11/1.31 (define @t53 () (tptp.v1_relat_1 @t1)) % 1.11/1.31 (define @t54 () (and @t53 @t36 (tptp.v2_funct_1 @t1))) % 1.11/1.31 (define @t55 () (and @t53 @t37 @t36)) % 1.11/1.31 (define @t56 () (tptp.k2_tarski @t1 @t2)) % 1.11/1.31 (define @t57 () (tptp.k3_lattices @t1 @t2 @t5)) % 1.11/1.31 (define @t58 () (tptp.m1_subset_1 @t2 @t11)) % 1.11/1.31 (define @t59 () (tptp.l2_lattices @t1)) % 1.11/1.31 (define @t60 () (and @t28 @t42 @t59 @t58 @t15)) % 1.11/1.31 (define @t61 () (tptp.k4_lattices @t1 @t2 @t5)) % 1.11/1.31 (define @t62 () (tptp.l1_lattices @t1)) % 1.11/1.31 (define @t63 () (and @t28 @t40 @t62 @t58 @t15)) % 1.11/1.31 (define @t64 () (and @t6 (tptp.r2_hidden (tptp.k3_lattices @t1 @t5 @t4) @t2))) % 1.11/1.31 (define @t65 () (=> @t9 @t64)) % 1.11/1.31 (define @t66 () (forall @t13 (=> @t12 @t65))) % 1.11/1.31 (define @t67 () (=> @t15 @t66)) % 1.11/1.31 (define @t68 () (forall @t17 @t67)) % 1.11/1.31 (define @t69 () (= @t3 @t68)) % 1.11/1.31 (define @t70 () (=> @t21 @t69)) % 1.11/1.31 (define @t71 () (forall @t23 @t70)) % 1.11/1.31 (define @t72 () (=> @t29 @t71)) % 1.11/1.31 (define @t73 () (forall @t31 @t72)) % 1.11/1.31 (define @t74 () (and @t53 @t36)) % 1.11/1.31 (define @t75 () (tptp.u2_lattices @t1)) % 1.11/1.31 (define @t76 () (tptp.k1_lattices @t1 @t2 @t5)) % 1.11/1.31 (define @t77 () (tptp.u1_lattices @t1)) % 1.11/1.31 (define @t78 () (tptp.k2_lattices @t1 @t2 @t5)) % 1.11/1.31 (define @t79 () (tptp.k1_tarski @t1)) % 1.11/1.31 (define @t80 () (tptp.k2_lattices @t1 @t2 @t76)) % 1.11/1.31 (define @t81 () (=> @t15 (= @t80 @t2))) % 1.11/1.31 (define @t82 () (forall @t17 @t81)) % 1.11/1.31 (define @t83 () (=> @t58 @t82)) % 1.11/1.31 (define @t84 () (forall @t23 @t83)) % 1.11/1.31 (define @t85 () (= @t38 @t84)) % 1.11/1.31 (define @t86 () (and @t28 @t25)) % 1.11/1.31 (define @t87 () (=> @t86 @t85)) % 1.11/1.31 (define @t88 () (forall @t31 @t87)) % 1.11/1.31 (define @t89 () (@var "F" $$unsorted)) % 1.11/1.31 (define @t90 () (@var "E" $$unsorted)) % 1.11/1.31 (define @t91 () (tptp.k2_binop_1 @t1 @t2 @t5 @t4 @t90 @t89)) % 1.11/1.31 (define @t92 () (tptp.v1_xboole_0 @t2)) % 1.11/1.31 (define @t93 () (not @t92)) % 1.11/1.31 (define @t94 () (and @t47 @t93 (tptp.v1_funct_1 @t4) (tptp.v1_funct_2 @t4 @t50 @t5) (tptp.m1_relset_1 @t4 @t50 @t5) (tptp.m1_subset_1 @t90 @t1) (tptp.m1_subset_1 @t89 @t2))) % 1.11/1.31 (define @t95 () (@list @t1 @t2 @t5 @t4 @t90 @t89)) % 1.11/1.31 (define @t96 () (tptp.m1_subset_1 @t57 @t11)) % 1.11/1.31 (define @t97 () (forall @t52 (=> @t60 @t96))) % 1.11/1.31 (define @t98 () (tptp.l1_struct_0 @t1)) % 1.11/1.31 (define @t99 () (and @t62 @t59)) % 1.11/1.31 (define @t100 () (forall @t31 (=> @t25 @t99))) % 1.11/1.31 (define @t101 () (tptp.m2_relset_1 @t5 @t1 @t2)) % 1.11/1.31 (define @t102 () (tptp.k2_zfmisc_1 @t11 @t11)) % 1.11/1.31 (define @t103 () (tptp.v1_funct_2 @t77 @t102 @t11)) % 1.11/1.31 (define @t104 () (tptp.v1_funct_1 @t77)) % 1.11/1.31 (define @t105 () (tptp.v1_funct_2 @t75 @t102 @t11)) % 1.11/1.31 (define @t106 () (tptp.v1_funct_1 @t75)) % 1.11/1.31 (define @t107 () (tptp.m1_relset_1 @t5 @t1 @t2)) % 1.11/1.31 (define @t108 () (and @t28 @t98)) % 1.11/1.31 (define @t109 () (tptp.k1_zfmisc_1 @t1)) % 1.11/1.31 (define @t110 () (tptp.v1_partfun1 @t75 @t102 @t11)) % 1.11/1.31 (define @t111 () (tptp.v1_relat_1 @t75)) % 1.11/1.31 (define @t112 () (not (tptp.v1_xboole_0 @t79))) % 1.11/1.31 (define @t113 () (tptp.v1_partfun1 @t77 @t102 @t11)) % 1.11/1.31 (define @t114 () (tptp.v1_relat_1 @t77)) % 1.11/1.31 (define @t115 () (tptp.m1_subset_1 @t2 @t109)) % 1.11/1.31 (define @t116 () (= @t57 @t76)) % 1.11/1.31 (define @t117 () (forall @t52 (=> @t60 @t116))) % 1.11/1.31 (define @t118 () (= @t61 @t78)) % 1.11/1.31 (define @t119 () (forall @t52 (=> @t63 @t118))) % 1.11/1.31 (define @t120 () (tptp.m1_subset_1 @t1 @t2)) % 1.11/1.31 (define @t121 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t5))) % 1.11/1.31 (define @t122 () (@var "BOUND_VARIABLE_7959" $$unsorted)) % 1.11/1.31 (define @t123 () (@var "BOUND_VARIABLE_7933" $$unsorted)) % 1.11/1.31 (define @t124 () (tptp.k3_lattices @t1 @t5 @t123)) % 1.11/1.31 (define @t125 () (tptp.k4_lattices @t1 @t5 @t123)) % 1.11/1.31 (define @t126 () (not (tptp.m1_subset_1 @t123 @t11))) % 1.11/1.31 (define @t127 () (not @t15)) % 1.11/1.31 (define @t128 () (@list @t5 @t123)) % 1.11/1.31 (define @t129 () (= (tptp.m2_lattice4 @t122 @t1) (forall @t128 (or @t127 (not (tptp.r2_hidden @t5 @t122)) @t126 (not (tptp.r2_hidden @t123 @t122)) (and (tptp.r2_hidden @t125 @t122) (tptp.r2_hidden @t124 @t122)))))) % 1.11/1.31 (define @t130 () (not (tptp.m1_subset_1 @t122 @t20))) % 1.11/1.31 (define @t131 () (not @t25)) % 1.11/1.31 (define @t132 () (not @t26)) % 1.11/1.31 (define @t133 () (or @t130 @t129)) % 1.11/1.31 (define @t134 () (or @t27 @t132 @t131 @t133)) % 1.11/1.31 (define @t135 () (forall (@list @t1 @t122) @t134)) % 1.11/1.31 (define @t136 () (@list @t122)) % 1.11/1.31 (define @t137 () (forall @t136 @t134)) % 1.11/1.31 (define @t138 () (forall @t136 @t133)) % 1.11/1.31 (define @t139 () (@list @t2)) % 1.11/1.31 (define @t140 () (or @t27 @t132 @t131 @t138)) % 1.11/1.31 (define @t141 () (and (tptp.r2_hidden @t125 @t2) (tptp.r2_hidden @t124 @t2))) % 1.11/1.31 (define @t142 () (not (tptp.r2_hidden @t123 @t2))) % 1.11/1.31 (define @t143 () (not @t8)) % 1.11/1.31 (define @t144 () (or @t127 @t143 @t126 @t142 @t141)) % 1.11/1.31 (define @t145 () (= @t3 (forall @t128 @t144))) % 1.11/1.31 (define @t146 () (not @t21)) % 1.11/1.31 (define @t147 () (forall @t23 (or @t146 @t145))) % 1.11/1.31 (define @t148 () (or @t27 @t132 @t131 @t147)) % 1.11/1.31 (define @t149 () (or @t27 @t132 @t131)) % 1.11/1.31 (define @t150 () (not @t28)) % 1.11/1.31 (define @t151 () (or @t150 @t132 @t131)) % 1.11/1.31 (define @t152 () (not @t29)) % 1.11/1.31 (define @t153 () (or @t126 @t142 @t141)) % 1.11/1.31 (define @t154 () (or @t127 @t143 @t153)) % 1.11/1.31 (define @t155 () (forall @t128 @t154)) % 1.11/1.31 (define @t156 () (@list @t123)) % 1.11/1.31 (define @t157 () (forall @t156 @t154)) % 1.11/1.31 (define @t158 () (forall @t156 @t153)) % 1.11/1.31 (define @t159 () (@list @t4)) % 1.11/1.31 (define @t160 () (or @t127 @t143 @t158)) % 1.11/1.31 (define @t161 () (not @t7)) % 1.11/1.31 (define @t162 () (not @t12)) % 1.11/1.31 (define @t163 () (or @t162 @t161 @t64)) % 1.11/1.31 (define @t164 () (forall @t13 @t163)) % 1.11/1.31 (define @t165 () (or @t127 @t143 @t164)) % 1.11/1.31 (define @t166 () (or @t143 @t164)) % 1.11/1.31 (define @t167 () (or @t143 @t163)) % 1.11/1.31 (define @t168 () (or @t162 @t143 @t161 @t64)) % 1.11/1.31 (define @t169 () (or @t143 @t161 @t64)) % 1.11/1.31 (define @t170 () (@var "BOUND_VARIABLE_7846" $$unsorted)) % 1.11/1.31 (define @t171 () (tptp.m2_lattice4 @t170 @t1)) % 1.11/1.31 (define @t172 () (@var "BOUND_VARIABLE_7815" $$unsorted)) % 1.11/1.31 (define @t173 () (tptp.k4_lattices @t1 @t5 @t172)) % 1.11/1.31 (define @t174 () (not (tptp.m1_subset_1 @t172 @t11))) % 1.11/1.31 (define @t175 () (@list @t5 @t172)) % 1.11/1.31 (define @t176 () (not (forall @t175 (or @t127 @t174 (= (and (tptp.r2_hidden @t5 @t170) (tptp.r2_hidden @t172 @t170)) (tptp.r2_hidden @t173 @t170)))))) % 1.11/1.31 (define @t177 () (not (tptp.m1_subset_1 @t170 @t20))) % 1.11/1.31 (define @t178 () (or @t27 @t132 @t131 @t177 @t176 @t171)) % 1.11/1.31 (define @t179 () (@list @t1 @t170)) % 1.11/1.31 (define @t180 () (forall @t179 @t178)) % 1.11/1.31 (define @t181 () (@quantifiers_skolemize @t180 1)) % 1.11/1.31 (define @t182 () (@quantifiers_skolemize @t180 0)) % 1.11/1.31 (define @t183 () (or @t177 @t176 @t171)) % 1.11/1.31 (define @t184 () (or @t27 @t132 @t131 @t183)) % 1.11/1.31 (define @t185 () (forall @t179 @t184)) % 1.11/1.31 (define @t186 () (@list @t170)) % 1.11/1.31 (define @t187 () (forall @t186 @t184)) % 1.11/1.31 (define @t188 () (forall @t186 @t183)) % 1.11/1.31 (define @t189 () (or @t27 @t132 @t131 @t188)) % 1.11/1.31 (define @t190 () (= (and @t8 (tptp.r2_hidden @t172 @t2)) (tptp.r2_hidden @t173 @t2))) % 1.11/1.31 (define @t191 () (or @t127 @t174 @t190)) % 1.11/1.31 (define @t192 () (forall @t175 @t191)) % 1.11/1.31 (define @t193 () (not @t192)) % 1.11/1.31 (define @t194 () (or @t146 @t193 @t3)) % 1.11/1.31 (define @t195 () (forall @t23 @t194)) % 1.11/1.31 (define @t196 () (or @t27 @t132 @t131 @t195)) % 1.11/1.31 (define @t197 () (=> @t192 @t3)) % 1.11/1.31 (define @t198 () (or @t174 @t190)) % 1.11/1.31 (define @t199 () (or @t127 @t198)) % 1.11/1.31 (define @t200 () (forall @t175 @t199)) % 1.11/1.31 (define @t201 () (@list @t172)) % 1.11/1.31 (define @t202 () (forall @t201 @t199)) % 1.11/1.31 (define @t203 () (forall @t201 @t198)) % 1.11/1.31 (define @t204 () (or @t127 @t203)) % 1.11/1.31 (define @t205 () (forall @t13 (or @t162 @t10))) % 1.11/1.31 (define @t206 () (tptp.u1_struct_0 @t182)) % 1.11/1.31 (define @t207 () (tptp.m1_subset_1 @t181 (tptp.k1_zfmisc_1 @t206))) % 1.11/1.31 (define @t208 () (tptp.m2_lattice4 @t181 @t182)) % 1.11/1.31 (define @t209 () (tptp.r2_hidden @t5 @t181)) % 1.11/1.31 (define @t210 () (not (tptp.m1_subset_1 @t5 @t206))) % 1.11/1.31 (define @t211 () (forall @t175 (or @t210 (not (tptp.m1_subset_1 @t172 @t206)) (= (and @t209 (tptp.r2_hidden @t172 @t181)) (tptp.r2_hidden (tptp.k4_lattices @t182 @t5 @t172) @t181))))) % 1.11/1.31 (define @t212 () (not @t211)) % 1.11/1.31 (define @t213 () (not @t207)) % 1.11/1.31 (define @t214 () (tptp.l3_lattices @t182)) % 1.11/1.31 (define @t215 () (not @t214)) % 1.11/1.31 (define @t216 () (tptp.v10_lattices @t182)) % 1.11/1.31 (define @t217 () (not @t216)) % 1.11/1.31 (define @t218 () (tptp.v3_struct_0 @t182)) % 1.11/1.31 (define @t219 () (or @t218 @t217 @t215 @t213 @t212 @t208)) % 1.11/1.31 (define @t220 () (@list true)) % 1.11/1.31 (define @t221 () (@list @t219)) % 1.11/1.31 (define @t222 () (not @t218)) % 1.11/1.31 (define @t223 () (forall @t128 (or @t210 (not @t209) (not (tptp.m1_subset_1 @t123 @t206)) (not (tptp.r2_hidden @t123 @t181)) (and (tptp.r2_hidden (tptp.k4_lattices @t182 @t5 @t123) @t181) (tptp.r2_hidden (tptp.k3_lattices @t182 @t5 @t123) @t181))))) % 1.11/1.31 (define @t224 () (= @t208 @t223)) % 1.11/1.31 (define @t225 () (or @t218 @t217 @t215 @t213 @t224)) % 1.11/1.31 (define @t226 () (@list true false false false false)) % 1.11/1.31 (define @t227 () (not @t223)) % 1.11/1.31 (define @t228 () (@list true false)) % 1.11/1.31 (define @t229 () (@quantifiers_skolemize @t223 0)) % 1.11/1.31 (define @t230 () (tptp.r2_hidden @t229 @t181)) % 1.11/1.31 (define @t231 () (@quantifiers_skolemize @t223 1)) % 1.11/1.31 (define @t232 () (tptp.k3_lattices @t182 @t229 @t231)) % 1.11/1.31 (define @t233 () (tptp.r2_hidden @t232 @t181)) % 1.11/1.31 (define @t234 () (tptp.r2_hidden (tptp.k4_lattices @t182 @t229 @t231) @t181)) % 1.11/1.31 (define @t235 () (and @t234 @t233)) % 1.11/1.31 (define @t236 () (tptp.r2_hidden @t231 @t181)) % 1.11/1.31 (define @t237 () (not @t236)) % 1.11/1.31 (define @t238 () (tptp.m1_subset_1 @t231 @t206)) % 1.11/1.31 (define @t239 () (not @t238)) % 1.11/1.31 (define @t240 () (not @t230)) % 1.11/1.31 (define @t241 () (tptp.m1_subset_1 @t229 @t206)) % 1.11/1.31 (define @t242 () (not @t241)) % 1.11/1.31 (define @t243 () (or @t242 @t240 @t239 @t237 @t235)) % 1.11/1.31 (define @t244 () (@list @t243)) % 1.11/1.31 (define @t245 () (not @t58)) % 1.11/1.31 (define @t246 () (not @t59)) % 1.11/1.31 (define @t247 () (not @t42)) % 1.11/1.31 (define @t248 () (or @t27 @t247 @t246 @t245 @t127)) % 1.11/1.31 (define @t249 () (or @t150 @t247 @t246 @t245 @t127)) % 1.11/1.31 (define @t250 () (or @t245 @t127)) % 1.11/1.31 (define @t251 () (not (and @t58 @t15))) % 1.11/1.31 (define @t252 () (not @t60)) % 1.11/1.31 (define @t253 () (@list @t182 @t229 @t231)) % 1.11/1.31 (define @t254 () (or @t27 @t132 @t43)) % 1.11/1.31 (define @t255 () (@list @t182)) % 1.11/1.31 (define @t256 () (tptp.v9_lattices @t182)) % 1.11/1.31 (define @t257 () (tptp.v6_lattices @t182)) % 1.11/1.31 (define @t258 () (tptp.v4_lattices @t182)) % 1.11/1.31 (define @t259 () (and @t222 @t258 (tptp.v5_lattices @t182) @t257 (tptp.v7_lattices @t182) (tptp.v8_lattices @t182) @t256)) % 1.11/1.31 (define @t260 () (or @t215 @t218 @t217 @t259)) % 1.11/1.31 (define @t261 () (not @t259)) % 1.11/1.31 (define @t262 () (@list false)) % 1.11/1.31 (define @t263 () (@list @t259)) % 1.11/1.31 (define @t264 () (tptp.l2_lattices @t182)) % 1.11/1.31 (define @t265 () (tptp.l1_lattices @t182)) % 1.11/1.31 (define @t266 () (and @t265 @t264)) % 1.11/1.31 (define @t267 () (or @t215 @t266)) % 1.11/1.31 (define @t268 () (@list false false)) % 1.11/1.31 (define @t269 () (not @t266)) % 1.11/1.31 (define @t270 () (@list @t266)) % 1.11/1.31 (define @t271 () (tptp.k1_lattices @t182 @t229 @t231)) % 1.11/1.31 (define @t272 () (= @t232 @t271)) % 1.11/1.31 (define @t273 () (not @t264)) % 1.11/1.31 (define @t274 () (not @t258)) % 1.11/1.31 (define @t275 () (or @t218 @t274 @t273 @t242 @t239 @t272)) % 1.11/1.31 (define @t276 () (@list true false false false false false)) % 1.11/1.31 (define @t277 () (@var "BOUND_VARIABLE_8092" $$unsorted)) % 1.11/1.31 (define @t278 () (= @t2 (tptp.k2_lattices @t1 @t2 (tptp.k1_lattices @t1 @t2 @t277)))) % 1.11/1.31 (define @t279 () (not (tptp.m1_subset_1 @t277 @t11))) % 1.11/1.31 (define @t280 () (or @t245 @t279 @t278)) % 1.11/1.31 (define @t281 () (@list @t2 @t277)) % 1.11/1.31 (define @t282 () (= @t38 (forall @t281 @t280))) % 1.11/1.31 (define @t283 () (or @t279 @t278)) % 1.11/1.31 (define @t284 () (or @t245 @t283)) % 1.11/1.31 (define @t285 () (forall @t281 @t284)) % 1.11/1.31 (define @t286 () (@list @t277)) % 1.11/1.31 (define @t287 () (forall @t286 @t284)) % 1.11/1.31 (define @t288 () (forall @t286 @t283)) % 1.11/1.31 (define @t289 () (or @t245 @t288)) % 1.11/1.31 (define @t290 () (= @t2 @t80)) % 1.11/1.31 (define @t291 () (forall @t17 (or @t127 @t290))) % 1.11/1.31 (define @t292 () (forall @t281 (or (not (tptp.m1_subset_1 @t2 @t206)) (not (tptp.m1_subset_1 @t277 @t206)) (= @t2 (tptp.k2_lattices @t182 @t2 (tptp.k1_lattices @t182 @t2 @t277)))))) % 1.11/1.31 (define @t293 () (= @t256 @t292)) % 1.11/1.31 (define @t294 () (or @t218 @t215 @t293)) % 1.11/1.31 (define @t295 () (@list @t229 @t231)) % 1.11/1.31 (define @t296 () (tptp.k2_lattices @t182 @t229 @t271)) % 1.11/1.31 (define @t297 () (= @t229 @t296)) % 1.11/1.31 (define @t298 () (or @t242 @t239 @t297)) % 1.11/1.31 (define @t299 () (@list false false false)) % 1.11/1.31 (define @t300 () (not @t62)) % 1.11/1.31 (define @t301 () (not @t40)) % 1.11/1.31 (define @t302 () (or @t27 @t301 @t300 @t245 @t127 @t118)) % 1.11/1.31 (define @t303 () (or @t150 @t301 @t300 @t245 @t127)) % 1.11/1.31 (define @t304 () (tptp.k4_lattices @t182 @t229 @t271)) % 1.11/1.31 (define @t305 () (tptp.m1_subset_1 @t271 @t206)) % 1.11/1.31 (define @t306 () (not @t305)) % 1.11/1.31 (define @t307 () (not @t265)) % 1.11/1.31 (define @t308 () (not @t257)) % 1.11/1.31 (define @t309 () (or @t218 @t308 @t307 @t242 @t306 (= @t304 @t296))) % 1.11/1.31 (define @t310 () (forall @t52 @t302)) % 1.11/1.31 (define @t311 () (= @t296 @t304)) % 1.11/1.31 (define @t312 () (or @t218 @t308 @t307 @t242 @t306 @t311)) % 1.11/1.31 (define @t313 () (tptp.m1_subset_1 @t232 @t206)) % 1.11/1.31 (define @t314 () (or @t218 @t274 @t273 @t242 @t239 @t313)) % 1.11/1.31 (define @t315 () (tptp.k4_lattices @t182 @t229 @t232)) % 1.11/1.31 (define @t316 () (tptp.r2_hidden @t315 @t181)) % 1.11/1.31 (define @t317 () (and @t230 @t233)) % 1.11/1.31 (define @t318 () (= @t317 @t316)) % 1.11/1.31 (define @t319 () (not @t313)) % 1.11/1.31 (define @t320 () (or @t242 @t319 @t318)) % 1.11/1.31 (define @t321 () (and @t230 @t236)) % 1.11/1.31 (define @t322 () (or @t242 @t239 (= @t321 @t234))) % 1.11/1.31 (define @t323 () (= @t234 @t321)) % 1.11/1.31 (define @t324 () (or @t242 @t239 @t323)) % 1.11/1.31 (define @t325 () (not @t317)) % 1.11/1.31 (define @t326 () (not @t316)) % 1.11/1.31 (define @t327 () (and @t230 @t272 @t297 @t311)) % 1.11/1.31 (assume @p1 @t33) % 1.11/1.31 (assume @p2 (forall @t35 (=> @t34 (not (tptp.r2_hidden @t2 @t1))))) % 1.11/1.31 (assume @p3 (forall @t31 (=> @t37 @t36))) % 1.11/1.31 (assume @p4 @t46) % 1.11/1.31 (assume @p5 (forall @t31 (=> @t49 @t47))) % 1.11/1.31 (assume @p6 (forall @t52 (=> @t51 (tptp.v1_relat_1 @t5)))) % 1.11/1.31 (assume @p7 (forall @t31 (=> @t55 @t54))) % 1.11/1.31 (assume @p8 (forall @t31 (=> @t25 (=> @t43 @t44)))) % 1.11/1.31 (assume @p9 (forall @t35 (= @t56 (tptp.k2_tarski @t2 @t1)))) % 1.11/1.31 (assume @p10 (forall @t52 (=> @t60 (= @t57 (tptp.k3_lattices @t1 @t5 @t2))))) % 1.11/1.31 (assume @p11 (forall @t52 (=> @t63 (= @t61 (tptp.k4_lattices @t1 @t5 @t2))))) % 1.11/1.31 (assume @p12 @t73) % 1.11/1.31 (assume @p13 (forall @t31 (=> @t74 (forall (@list @t2 @t5) (= (tptp.k1_binop_1 @t1 @t2 @t5) (tptp.k1_funct_1 @t1 (tptp.k4_tarski @t2 @t5))))))) % 1.11/1.31 (assume @p14 (forall @t31 (=> (and @t28 @t59) (forall @t23 (=> @t58 (forall @t17 (=> @t15 (= @t76 (tptp.k2_binop_1 @t11 @t11 @t11 @t75 @t2 @t5))))))))) % 1.11/1.31 (assume @p15 (forall @t31 (=> (and @t28 @t62) (forall @t23 (=> @t58 (forall @t17 (=> @t15 (= @t78 (tptp.k2_binop_1 @t11 @t11 @t11 @t77 @t2 @t5))))))))) % 1.11/1.31 (assume @p16 (forall @t35 (= (tptp.k4_tarski @t1 @t2) (tptp.k2_tarski @t56 @t79)))) % 1.11/1.31 (assume @p17 @t88) % 1.11/1.31 (assume @p18 true) % 1.11/1.31 (assume @p19 (forall @t52 (=> (and @t28 @t59 @t58 @t15) (tptp.m1_subset_1 @t76 @t11)))) % 1.11/1.31 (assume @p20 (forall @t95 (=> @t94 (tptp.m1_subset_1 @t91 @t5)))) % 1.11/1.31 (assume @p21 (forall @t52 (=> (and @t28 @t62 @t58 @t15) (tptp.m1_subset_1 @t78 @t11)))) % 1.11/1.31 (assume @p22 @t97) % 1.11/1.31 (assume @p23 (forall @t52 (=> @t63 (tptp.m1_subset_1 @t61 @t11)))) % 1.11/1.31 (assume @p24 (forall @t31 (=> @t62 @t98))) % 1.11/1.31 (assume @p25 (forall @t31 (=> @t59 @t98))) % 1.11/1.31 (assume @p26 @t100) % 1.11/1.31 (assume @p27 (forall @t31 (=> @t29 (forall @t23 (=> @t3 @t21))))) % 1.11/1.31 (assume @p28 (forall @t52 (=> @t101 @t51))) % 1.11/1.31 (assume @p29 (forall @t31 (=> @t62 (and @t104 @t103 (tptp.m2_relset_1 @t77 @t102 @t11))))) % 1.11/1.31 (assume @p30 (forall @t31 (=> @t59 (and @t106 @t105 (tptp.m2_relset_1 @t75 @t102 @t11))))) % 1.11/1.31 (assume @p31 (exists @t31 @t62)) % 1.11/1.31 (assume @p32 (exists @t31 @t98)) % 1.11/1.31 (assume @p33 (exists @t31 @t59)) % 1.11/1.31 (assume @p34 (exists @t31 @t25)) % 1.11/1.31 (assume @p35 (forall @t35 (exists @t17 @t107))) % 1.11/1.31 (assume @p36 (forall @t31 (exists @t23 (tptp.m1_subset_1 @t2 @t1)))) % 1.11/1.31 (assume @p37 (forall @t31 (=> @t29 (exists @t23 @t3)))) % 1.11/1.31 (assume @p38 (forall @t35 (exists @t17 @t101))) % 1.11/1.31 (assume @p39 (forall @t31 (=> @t108 (not (tptp.v1_xboole_0 @t11))))) % 1.11/1.31 (assume @p40 (forall @t31 (not (tptp.v1_xboole_0 @t109)))) % 1.11/1.31 (assume @p41 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 1.11/1.31 (assume @p42 (forall @t31 (=> (and @t28 @t42 @t59) (and @t111 @t106 @t105 (tptp.v1_binop_1 @t75 @t11) @t110)))) % 1.11/1.31 (assume @p43 (forall @t31 @t112)) % 1.11/1.31 (assume @p44 (forall @t31 (=> (and @t28 @t41 @t59) (and @t111 @t106 @t105 (tptp.v2_binop_1 @t75 @t11) @t110)))) % 1.11/1.31 (assume @p45 (forall @t31 (and @t112 (tptp.v1_finset_1 @t79) (tptp.v1_realset1 @t79)))) % 1.11/1.31 (assume @p46 (forall @t35 (not (tptp.v1_xboole_0 @t56)))) % 1.11/1.31 (assume @p47 (forall @t31 (=> (and @t28 @t40 @t62) (and @t114 @t104 @t103 (tptp.v1_binop_1 @t77 @t11) @t113)))) % 1.11/1.31 (assume @p48 (forall @t35 (=> (and @t47 @t93) (not (tptp.v1_xboole_0 @t50))))) % 1.11/1.31 (assume @p49 (forall @t31 (=> (and @t28 @t39 @t62) (and @t114 @t104 @t103 (tptp.v2_binop_1 @t77 @t11) @t113)))) % 1.11/1.31 (assume @p50 (exists @t31 @t74)) % 1.11/1.31 (assume @p51 (forall @t31 (=> @t29 (exists @t23 (and @t3 @t93))))) % 1.11/1.31 (assume @p52 (exists @t31 (and @t47 @t48))) % 1.11/1.31 (assume @p53 (forall @t31 (=> @t47 (exists @t23 (and @t115 @t93))))) % 1.11/1.31 (assume @p54 (exists @t31 @t37)) % 1.11/1.31 (assume @p55 (exists @t31 @t55)) % 1.11/1.31 (assume @p56 (exists @t31 (and @t47 @t49))) % 1.11/1.31 (assume @p57 (forall @t31 (exists @t23 (and @t115 @t92)))) % 1.11/1.31 (assume @p58 (exists @t31 @t47)) % 1.11/1.31 (assume @p59 (exists @t31 @t54)) % 1.11/1.31 (assume @p60 (exists @t31 (and @t98 @t28))) % 1.11/1.31 (assume @p61 (forall @t31 (=> @t108 (exists @t23 (and @t21 @t93))))) % 1.11/1.31 (assume @p62 (forall @t95 (=> @t94 (= @t91 (tptp.k1_binop_1 @t4 @t90 @t89))))) % 1.11/1.31 (assume @p63 @t117) % 1.11/1.31 (assume @p64 @t119) % 1.11/1.31 (assume @p65 (forall @t52 (= @t101 @t107))) % 1.11/1.31 (assume @p66 (forall @t35 (tptp.r1_tarski @t1 @t1))) % 1.11/1.31 (assume @p67 (forall @t35 (=> @t34 @t120))) % 1.11/1.31 (assume @p68 (forall @t35 (=> @t120 (or @t92 @t34)))) % 1.11/1.31 (assume @p69 (forall @t35 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t2)) (tptp.r1_tarski @t1 @t2)))) % 1.11/1.31 (assume @p70 (forall @t52 (=> (and @t34 @t121) (tptp.m1_subset_1 @t1 @t5)))) % 1.11/1.31 (assume @p71 (forall @t52 (not (and @t34 @t121 (tptp.v1_xboole_0 @t5))))) % 1.11/1.31 (assume @p72 (forall @t31 (=> @t37 (= @t1 tptp.k1_xboole_0)))) % 1.11/1.31 (assume @p73 (forall @t35 (not (and @t34 @t92)))) % 1.11/1.31 (assume @p74 (forall @t35 (not (and @t37 (not (= @t1 @t2)) @t92)))) % 1.11/1.31 (step @p75 :rule aci_norm :args ((= @t134 (or @t27 @t132 @t131 @t130 @t129)))) % 1.11/1.31 (step @p76 :rule cong :premises (@p75) :args (@t135)) % 1.11/1.31 (step @p77 :rule quant-merge-prenex :args ((= (forall @t31 @t137) @t135))) % 1.11/1.31 (step @p78 :rule alpha_equiv :args (@t138 (@list @t122) @t139)) % 1.11/1.31 (step @p79 :rule refl :args (@t131)) % 1.11/1.31 (step @p80 :rule refl :args (@t132)) % 1.11/1.31 (step @p81 :rule refl :args (@t27)) % 1.11/1.31 (step @p82 :rule nary_cong :premises (@p81 @p80 @p79 @p78) :args (@t140)) % 1.11/1.31 (step @p83 :rule quant-miniscope-or :args ((= @t137 @t140))) % 1.11/1.31 (step @p84 :rule trans :premises (@p83 @p82)) % 1.11/1.31 (step @p85 :rule symm :premises (@p84)) % 1.11/1.31 (step @p86 :rule cong :premises (@p85) :args ((forall @t31 @t148))) % 1.11/1.31 (step @p87 :rule trans :premises (@p86 @p77)) % 1.11/1.31 (step @p88 :rule trans :premises (@p87 @p76)) % 1.11/1.31 (step @p89 :rule aci_norm :args ((= (or @t149 @t147) @t148))) % 1.11/1.31 (step @p90 :rule refl :args (@t147)) % 1.11/1.31 (step @p91 :rule bool-double-not-elim :args (@t27)) % 1.11/1.31 (step @p92 :rule nary_cong :premises (@p91 @p80 @p79) :args (@t151)) % 1.11/1.31 (step @p93 :rule aci_norm :args ((= (or @t150 (or @t132 @t131)) @t151))) % 1.11/1.31 (step @p94 :rule trans :premises (@p93 @p92)) % 1.11/1.31 (step @p95 :rule bool-and-de-morgan :args (@t26 @t25 true)) % 1.11/1.31 (step @p96 :rule refl :args (@t150)) % 1.11/1.31 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t150 (not (and @t26 @t25))))) % 1.11/1.31 (step @p98 :rule bool-and-de-morgan :args (@t28 @t26 (and @t25))) % 1.11/1.31 (step @p99 :rule trans :premises (@p98 @p97)) % 1.11/1.31 (step @p100 :rule trans :premises (@p99 @p94)) % 1.11/1.31 (step @p101 :rule nary_cong :premises (@p100 @p90) :args ((or @t152 @t147))) % 1.11/1.31 (step @p102 :rule trans :premises (@p101 @p89)) % 1.11/1.31 (step @p103 :rule bool-impl-elim :args (@t29 @t147)) % 1.11/1.31 (step @p104 :rule trans :premises (@p103 @p102)) % 1.11/1.31 (step @p105 :rule cong :premises (@p104) :args ((forall @t31 (=> @t29 @t147)))) % 1.11/1.31 (step @p106 :rule trans :premises (@p105 @p88)) % 1.11/1.31 (step @p107 :rule bool-impl-elim :args (@t21 @t145)) % 1.11/1.31 (step @p108 :rule cong :premises (@p107) :args ((forall @t23 (=> @t21 @t145)))) % 1.11/1.31 (step @p109 :rule aci_norm :args ((= @t154 @t144))) % 1.11/1.31 (step @p110 :rule cong :premises (@p109) :args (@t155)) % 1.11/1.31 (step @p111 :rule quant-merge-prenex :args ((= (forall @t17 @t157) @t155))) % 1.11/1.31 (step @p112 :rule alpha_equiv :args (@t158 (@list @t123) @t159)) % 1.11/1.31 (step @p113 :rule refl :args (@t143)) % 1.11/1.31 (step @p114 :rule refl :args (@t127)) % 1.11/1.31 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112) :args (@t160)) % 1.11/1.31 (step @p116 :rule quant-miniscope-or :args ((= @t157 @t160))) % 1.11/1.31 (step @p117 :rule trans :premises (@p116 @p115)) % 1.11/1.31 (step @p118 :rule symm :premises (@p117)) % 1.11/1.31 (step @p119 :rule cong :premises (@p118) :args ((forall @t17 @t165))) % 1.11/1.31 (step @p120 :rule trans :premises (@p119 @p111)) % 1.11/1.31 (step @p121 :rule trans :premises (@p120 @p110)) % 1.11/1.31 (step @p122 :rule aci_norm :args ((= (or @t127 @t166) @t165))) % 1.11/1.31 (step @p123 :rule bool-impl-elim :args (@t15 @t166)) % 1.11/1.31 (step @p124 :rule trans :premises (@p123 @p122)) % 1.11/1.31 (step @p125 :rule cong :premises (@p124) :args ((forall @t17 (=> @t15 @t166)))) % 1.11/1.31 (step @p126 :rule trans :premises (@p125 @p121)) % 1.11/1.31 (step @p127 :rule quant-miniscope-or :args ((= (forall @t13 @t167) @t166))) % 1.11/1.31 (step @p128 :rule aci_norm :args ((= @t168 @t167))) % 1.11/1.31 (step @p129 :rule cong :premises (@p128) :args ((forall @t13 @t168))) % 1.11/1.31 (step @p130 :rule trans :premises (@p129 @p127)) % 1.11/1.31 (step @p131 :rule aci_norm :args ((= (or @t162 @t169) @t168))) % 1.11/1.31 (step @p132 :rule aci_norm :args ((= (or (or @t143 @t161) @t64) @t169))) % 1.11/1.31 (step @p133 :rule refl :args (@t64)) % 1.11/1.31 (step @p134 :rule bool-and-de-morgan :args (@t8 @t7 true)) % 1.11/1.31 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or (not @t9) @t64))) % 1.11/1.31 (step @p136 :rule trans :premises (@p135 @p132)) % 1.11/1.31 (step @p137 :rule bool-impl-elim :args (@t9 @t64)) % 1.11/1.31 (step @p138 :rule trans :premises (@p137 @p136)) % 1.11/1.31 (step @p139 :rule refl :args (@t162)) % 1.11/1.31 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or @t162 @t65))) % 1.11/1.31 (step @p141 :rule trans :premises (@p140 @p131)) % 1.11/1.31 (step @p142 :rule bool-impl-elim :args (@t12 @t65)) % 1.11/1.31 (step @p143 :rule trans :premises (@p142 @p141)) % 1.11/1.31 (step @p144 :rule cong :premises (@p143) :args (@t66)) % 1.11/1.31 (step @p145 :rule trans :premises (@p144 @p130)) % 1.11/1.31 (step @p146 :rule refl :args (@t15)) % 1.11/1.31 (step @p147 :rule cong :premises (@p146 @p145) :args (@t67)) % 1.11/1.31 (step @p148 :rule cong :premises (@p147) :args (@t68)) % 1.11/1.31 (step @p149 :rule trans :premises (@p148 @p126)) % 1.11/1.31 (step @p150 :rule refl :args (@t3)) % 1.11/1.31 (step @p151 :rule cong :premises (@p150 @p149) :args (@t69)) % 1.11/1.31 (step @p152 :rule refl :args (@t21)) % 1.11/1.31 (step @p153 :rule cong :premises (@p152 @p151) :args (@t70)) % 1.11/1.31 (step @p154 :rule cong :premises (@p153) :args (@t71)) % 1.11/1.31 (step @p155 :rule trans :premises (@p154 @p108)) % 1.11/1.31 (step @p156 :rule refl :args (@t29)) % 1.11/1.31 (step @p157 :rule cong :premises (@p156 @p155) :args (@t72)) % 1.11/1.31 (step @p158 :rule cong :premises (@p157) :args (@t73)) % 1.11/1.31 (step @p159 :rule trans :premises (@p158 @p106)) % 1.11/1.31 (step @p160 :rule eq_resolve :premises (@p12 @p159)) % 1.11/1.31 (step @p161 :rule instantiate :premises (@p160) :args ((@list @t182 @t181))) % 1.11/1.31 (step @p162 :rule aci_norm :args ((= @t184 @t178))) % 1.11/1.31 (step @p163 :rule cong :premises (@p162) :args (@t185)) % 1.11/1.31 (step @p164 :rule quant-merge-prenex :args ((= (forall @t31 @t187) @t185))) % 1.11/1.31 (step @p165 :rule alpha_equiv :args (@t188 (@list @t170) @t139)) % 1.11/1.31 (step @p166 :rule nary_cong :premises (@p81 @p80 @p79 @p165) :args (@t189)) % 1.11/1.31 (step @p167 :rule quant-miniscope-or :args ((= @t187 @t189))) % 1.11/1.31 (step @p168 :rule trans :premises (@p167 @p166)) % 1.11/1.31 (step @p169 :rule symm :premises (@p168)) % 1.11/1.31 (step @p170 :rule cong :premises (@p169) :args ((forall @t31 @t196))) % 1.11/1.31 (step @p171 :rule trans :premises (@p170 @p164)) % 1.11/1.31 (step @p172 :rule trans :premises (@p171 @p163)) % 1.11/1.31 (step @p173 :rule aci_norm :args ((= (or @t149 @t195) @t196))) % 1.11/1.31 (step @p174 :rule refl :args (@t195)) % 1.11/1.31 (step @p175 :rule nary_cong :premises (@p100 @p174) :args ((or @t152 @t195))) % 1.11/1.31 (step @p176 :rule trans :premises (@p175 @p173)) % 1.11/1.31 (step @p177 :rule bool-impl-elim :args (@t29 @t195)) % 1.11/1.31 (step @p178 :rule trans :premises (@p177 @p176)) % 1.11/1.31 (step @p179 :rule cong :premises (@p178) :args ((forall @t31 (=> @t29 @t195)))) % 1.11/1.31 (step @p180 :rule trans :premises (@p179 @p172)) % 1.11/1.31 (step @p181 :rule aci_norm :args ((= (or @t146 (or @t193 @t3)) @t194))) % 1.11/1.31 (step @p182 :rule bool-impl-elim :args (@t192 @t3)) % 1.11/1.31 (step @p183 :rule refl :args (@t146)) % 1.11/1.31 (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or @t146 @t197))) % 1.11/1.31 (step @p185 :rule trans :premises (@p184 @p181)) % 1.11/1.31 (step @p186 :rule bool-impl-elim :args (@t21 @t197)) % 1.11/1.31 (step @p187 :rule trans :premises (@p186 @p185)) % 1.11/1.31 (step @p188 :rule cong :premises (@p187) :args ((forall @t23 (=> @t21 @t197)))) % 1.11/1.31 (step @p189 :rule aci_norm :args ((= @t199 @t191))) % 1.11/1.31 (step @p190 :rule cong :premises (@p189) :args (@t200)) % 1.11/1.31 (step @p191 :rule quant-merge-prenex :args ((= (forall @t17 @t202) @t200))) % 1.11/1.31 (step @p192 :rule alpha_equiv :args (@t203 (@list @t172) @t159)) % 1.11/1.31 (step @p193 :rule nary_cong :premises (@p114 @p192) :args (@t204)) % 1.11/1.31 (step @p194 :rule quant-miniscope-or :args ((= @t202 @t204))) % 1.11/1.31 (step @p195 :rule trans :premises (@p194 @p193)) % 1.11/1.31 (step @p196 :rule symm :premises (@p195)) % 1.11/1.31 (step @p197 :rule cong :premises (@p196) :args ((forall @t17 (or @t127 @t205)))) % 1.11/1.31 (step @p198 :rule trans :premises (@p197 @p191)) % 1.11/1.31 (step @p199 :rule trans :premises (@p198 @p190)) % 1.11/1.31 (step @p200 :rule bool-impl-elim :args (@t15 @t205)) % 1.11/1.31 (step @p201 :rule cong :premises (@p200) :args ((forall @t17 (=> @t15 @t205)))) % 1.11/1.31 (step @p202 :rule trans :premises (@p201 @p199)) % 1.11/1.31 (step @p203 :rule bool-impl-elim :args (@t12 @t10)) % 1.11/1.31 (step @p204 :rule cong :premises (@p203) :args (@t14)) % 1.11/1.31 (step @p205 :rule cong :premises (@p146 @p204) :args (@t16)) % 1.11/1.31 (step @p206 :rule cong :premises (@p205) :args (@t18)) % 1.11/1.31 (step @p207 :rule trans :premises (@p206 @p202)) % 1.11/1.31 (step @p208 :rule cong :premises (@p207 @p150) :args (@t19)) % 1.11/1.31 (step @p209 :rule cong :premises (@p152 @p208) :args (@t22)) % 1.11/1.31 (step @p210 :rule cong :premises (@p209) :args (@t24)) % 1.11/1.31 (step @p211 :rule trans :premises (@p210 @p188)) % 1.11/1.31 (step @p212 :rule cong :premises (@p156 @p211) :args (@t30)) % 1.11/1.31 (step @p213 :rule cong :premises (@p212) :args (@t32)) % 1.11/1.31 (step @p214 :rule trans :premises (@p213 @p180)) % 1.11/1.31 (step @p215 :rule cong :premises (@p214) :args (@t33)) % 1.11/1.31 (step @p216 :rule eq_resolve :premises (@p1 @p215)) % 1.11/1.31 (step @p217 :rule skolemize :premises (@p216)) % 1.11/1.31 (step @p218 :rule bool-double-not-elim :args (@t207)) % 1.11/1.31 (step @p219 :rule refl :args (@t219)) % 1.11/1.31 (step @p220 :rule nary_cong :premises (@p219 @p218) :args ((or @t219 (not @t213)))) % 1.11/1.31 (step @p221 :rule cnf_or_neg :args (@t219 3)) % 1.11/1.31 (step @p222 :rule eq_resolve :premises (@p221 @p220)) % 1.11/1.31 (step @p223 :rule reordering :premises (@p222) :args ((or @t207 @t219))) % 1.11/1.31 (step @p224 :rule chain_m_resolution :premises (@p223 @p217) :args (@t207 @t220 @t221)) % 1.11/1.31 (step @p225 :rule bool-double-not-elim :args (@t214)) % 1.11/1.31 (step @p226 :rule nary_cong :premises (@p219 @p225) :args ((or @t219 (not @t215)))) % 1.11/1.31 (step @p227 :rule cnf_or_neg :args (@t219 2)) % 1.11/1.31 (step @p228 :rule eq_resolve :premises (@p227 @p226)) % 1.11/1.31 (step @p229 :rule reordering :premises (@p228) :args ((or @t214 @t219))) % 1.11/1.31 (step @p230 :rule chain_m_resolution :premises (@p229 @p217) :args (@t214 @t220 @t221)) % 1.11/1.31 (step @p231 :rule bool-double-not-elim :args (@t216)) % 1.11/1.31 (step @p232 :rule nary_cong :premises (@p219 @p231) :args ((or @t219 (not @t217)))) % 1.11/1.31 (step @p233 :rule cnf_or_neg :args (@t219 1)) % 1.11/1.31 (step @p234 :rule eq_resolve :premises (@p233 @p232)) % 1.11/1.31 (step @p235 :rule reordering :premises (@p234) :args ((or @t216 @t219))) % 1.11/1.31 (step @p236 :rule chain_m_resolution :premises (@p235 @p217) :args (@t216 @t220 @t221)) % 1.11/1.31 (step @p237 :rule cnf_or_neg :args (@t219 0)) % 1.11/1.31 (step @p238 :rule chain_m_resolution :premises (@p237 @p217) :args (@t222 @t220 @t221)) % 1.11/1.31 (step @p239 :rule cnf_or_pos :args (@t225)) % 1.11/1.31 (step @p240 :rule reordering :premises (@p239) :args ((or @t218 @t217 @t215 @t213 @t224 (not @t225)))) % 1.11/1.31 (step @p241 :rule chain_m_resolution :premises (@p240 @p238 @p236 @p230 @p224 @p161) :args (@t224 @t226 (@list @t218 @t216 @t214 @t207 @t225))) % 1.11/1.31 (step @p242 :rule cnf_or_neg :args (@t219 5)) % 1.11/1.31 (step @p243 :rule chain_m_resolution :premises (@p242 @p217) :args ((not @t208) @t220 @t221)) % 1.11/1.31 (step @p244 :rule cnf_equiv_pos2 :args (@t224)) % 1.11/1.31 (step @p245 :rule reordering :premises (@p244) :args ((or @t208 @t227 (not @t224)))) % 1.11/1.31 (step @p246 :rule chain_m_resolution :premises (@p245 @p243 @p241) :args (@t227 @t228 (@list @t208 @t224))) % 1.11/1.31 (step @p247 :rule skolemize :premises (@p246)) % 1.11/1.31 (step @p248 :rule bool-double-not-elim :args (@t230)) % 1.11/1.31 (step @p249 :rule refl :args (@t243)) % 1.11/1.31 (step @p250 :rule nary_cong :premises (@p249 @p248) :args ((or @t243 (not @t240)))) % 1.11/1.31 (step @p251 :rule cnf_or_neg :args (@t243 1)) % 1.11/1.31 (step @p252 :rule eq_resolve :premises (@p251 @p250)) % 1.11/1.31 (step @p253 :rule reordering :premises (@p252) :args ((or @t230 @t243))) % 1.11/1.31 (step @p254 :rule chain_m_resolution :premises (@p253 @p247) :args (@t230 @t220 @t244)) % 1.11/1.31 (step @p255 :rule aci_norm :args ((= (or @t248 @t116) (or @t27 @t247 @t246 @t245 @t127 @t116)))) % 1.11/1.31 (step @p256 :rule refl :args (@t116)) % 1.11/1.31 (step @p257 :rule refl :args (@t245)) % 1.11/1.31 (step @p258 :rule refl :args (@t246)) % 1.11/1.31 (step @p259 :rule refl :args (@t247)) % 1.11/1.31 (step @p260 :rule nary_cong :premises (@p91 @p259 @p258 @p257 @p114) :args (@t249)) % 1.11/1.31 (step @p261 :rule aci_norm :args ((= (or @t150 (or @t247 (or @t246 @t250))) @t249))) % 1.11/1.31 (step @p262 :rule trans :premises (@p261 @p260)) % 1.11/1.31 (step @p263 :rule bool-and-de-morgan :args (@t58 @t15 true)) % 1.11/1.31 (step @p264 :rule nary_cong :premises (@p258 @p263) :args ((or @t246 @t251))) % 1.11/1.31 (step @p265 :rule bool-and-de-morgan :args (@t59 @t58 (and @t15))) % 1.11/1.31 (step @p266 :rule trans :premises (@p265 @p264)) % 1.11/1.31 (step @p267 :rule nary_cong :premises (@p259 @p266) :args ((or @t247 (not (and @t59 @t58 @t15))))) % 1.11/1.31 (step @p268 :rule bool-and-de-morgan :args (@t42 @t59 (and @t58 @t15))) % 1.11/1.31 (step @p269 :rule trans :premises (@p268 @p267)) % 1.11/1.31 (step @p270 :rule nary_cong :premises (@p96 @p269) :args ((or @t150 (not (and @t42 @t59 @t58 @t15))))) % 1.11/1.31 (step @p271 :rule bool-and-de-morgan :args (@t28 @t42 (and @t59 @t58 @t15))) % 1.11/1.31 (step @p272 :rule trans :premises (@p271 @p270)) % 1.11/1.31 (step @p273 :rule trans :premises (@p272 @p262)) % 1.11/1.31 (step @p274 :rule nary_cong :premises (@p273 @p256) :args ((or @t252 @t116))) % 1.11/1.31 (step @p275 :rule trans :premises (@p274 @p255)) % 1.11/1.31 (step @p276 :rule bool-impl-elim :args (@t60 @t116)) % 1.11/1.31 (step @p277 :rule trans :premises (@p276 @p275)) % 1.11/1.31 (step @p278 :rule cong :premises (@p277) :args (@t117)) % 1.11/1.31 (step @p279 :rule eq_resolve :premises (@p63 @p278)) % 1.11/1.31 (step @p280 :rule instantiate :premises (@p279) :args (@t253)) % 1.11/1.31 (step @p281 :rule bool-double-not-elim :args (@t238)) % 1.11/1.31 (step @p282 :rule nary_cong :premises (@p249 @p281) :args ((or @t243 (not @t239)))) % 1.11/1.31 (step @p283 :rule cnf_or_neg :args (@t243 2)) % 1.11/1.31 (step @p284 :rule eq_resolve :premises (@p283 @p282)) % 1.11/1.31 (step @p285 :rule reordering :premises (@p284) :args ((or @t238 @t243))) % 1.11/1.31 (step @p286 :rule chain_m_resolution :premises (@p285 @p247) :args (@t238 @t220 @t244)) % 1.11/1.31 (step @p287 :rule bool-double-not-elim :args (@t241)) % 1.11/1.31 (step @p288 :rule nary_cong :premises (@p249 @p287) :args ((or @t243 (not @t242)))) % 1.11/1.31 (step @p289 :rule cnf_or_neg :args (@t243 0)) % 1.11/1.31 (step @p290 :rule eq_resolve :premises (@p289 @p288)) % 1.11/1.31 (step @p291 :rule reordering :premises (@p290) :args ((or @t241 @t243))) % 1.11/1.31 (step @p292 :rule chain_m_resolution :premises (@p291 @p247) :args (@t241 @t220 @t244)) % 1.11/1.31 (step @p293 :rule aci_norm :args ((= (or @t131 @t254) (or @t131 @t27 @t132 @t43)))) % 1.11/1.31 (step @p294 :rule aci_norm :args ((= (or (or @t27 @t132) @t43) @t254))) % 1.11/1.31 (step @p295 :rule refl :args (@t43)) % 1.11/1.31 (step @p296 :rule nary_cong :premises (@p91 @p80) :args ((or @t150 @t132))) % 1.11/1.31 (step @p297 :rule bool-and-de-morgan :args (@t28 @t26 true)) % 1.11/1.31 (step @p298 :rule trans :premises (@p297 @p296)) % 1.11/1.31 (step @p299 :rule nary_cong :premises (@p298 @p295) :args ((or (not @t44) @t43))) % 1.11/1.31 (step @p300 :rule trans :premises (@p299 @p294)) % 1.11/1.31 (step @p301 :rule bool-impl-elim :args (@t44 @t43)) % 1.11/1.31 (step @p302 :rule trans :premises (@p301 @p300)) % 1.11/1.31 (step @p303 :rule nary_cong :premises (@p79 @p302) :args ((or @t131 @t45))) % 1.11/1.31 (step @p304 :rule trans :premises (@p303 @p293)) % 1.11/1.31 (step @p305 :rule bool-impl-elim :args (@t25 @t45)) % 1.11/1.31 (step @p306 :rule trans :premises (@p305 @p304)) % 1.11/1.31 (step @p307 :rule cong :premises (@p306) :args (@t46)) % 1.11/1.31 (step @p308 :rule eq_resolve :premises (@p4 @p307)) % 1.11/1.31 (step @p309 :rule instantiate :premises (@p308) :args (@t255)) % 1.11/1.31 (step @p310 :rule cnf_or_pos :args (@t260)) % 1.11/1.31 (step @p311 :rule reordering :premises (@p310) :args ((or @t218 @t217 @t215 @t259 (not @t260)))) % 1.11/1.31 (step @p312 :rule chain_m_resolution :premises (@p311 @p238 @p236 @p230 @p309) :args (@t259 (@list true false false false) (@list @t218 @t216 @t214 @t260))) % 1.11/1.31 (step @p313 :rule cnf_and_pos :args (@t259 1)) % 1.11/1.31 (step @p314 :rule reordering :premises (@p313) :args ((or @t258 @t261))) % 1.11/1.31 (step @p315 :rule chain_m_resolution :premises (@p314 @p312) :args (@t258 @t262 @t263)) % 1.11/1.31 (step @p316 :rule bool-impl-elim :args (@t25 @t99)) % 1.11/1.31 (step @p317 :rule cong :premises (@p316) :args (@t100)) % 1.11/1.31 (step @p318 :rule eq_resolve :premises (@p26 @p317)) % 1.11/1.31 (step @p319 :rule instantiate :premises (@p318) :args (@t255)) % 1.11/1.31 (step @p320 :rule cnf_or_pos :args (@t267)) % 1.11/1.31 (step @p321 :rule reordering :premises (@p320) :args ((or @t215 @t266 (not @t267)))) % 1.11/1.31 (step @p322 :rule chain_m_resolution :premises (@p321 @p230 @p319) :args (@t266 @t268 (@list @t214 @t267))) % 1.11/1.31 (step @p323 :rule cnf_and_pos :args (@t266 1)) % 1.11/1.31 (step @p324 :rule reordering :premises (@p323) :args ((or @t264 @t269))) % 1.11/1.31 (step @p325 :rule chain_m_resolution :premises (@p324 @p322) :args (@t264 @t262 @t270)) % 1.11/1.31 (step @p326 :rule cnf_or_pos :args (@t275)) % 1.11/1.31 (step @p327 :rule reordering :premises (@p326) :args ((or @t218 @t273 @t274 @t242 @t239 @t272 (not @t275)))) % 1.11/1.31 (step @p328 :rule chain_m_resolution :premises (@p327 @p238 @p325 @p315 @p292 @p286 @p280) :args (@t272 @t276 (@list @t218 @t264 @t258 @t241 @t238 @t275))) % 1.11/1.31 (step @p329 :rule aci_norm :args ((= (or (or @t27 @t131) @t282) (or @t27 @t131 @t282)))) % 1.11/1.31 (step @p330 :rule refl :args (@t282)) % 1.11/1.31 (step @p331 :rule nary_cong :premises (@p91 @p79) :args ((or @t150 @t131))) % 1.11/1.31 (step @p332 :rule bool-and-de-morgan :args (@t28 @t25 true)) % 1.11/1.31 (step @p333 :rule trans :premises (@p332 @p331)) % 1.11/1.31 (step @p334 :rule nary_cong :premises (@p333 @p330) :args ((or (not @t86) @t282))) % 1.11/1.31 (step @p335 :rule trans :premises (@p334 @p329)) % 1.11/1.31 (step @p336 :rule bool-impl-elim :args (@t86 @t282)) % 1.11/1.31 (step @p337 :rule trans :premises (@p336 @p335)) % 1.11/1.31 (step @p338 :rule cong :premises (@p337) :args ((forall @t31 (=> @t86 @t282)))) % 1.11/1.31 (step @p339 :rule aci_norm :args ((= @t284 @t280))) % 1.11/1.31 (step @p340 :rule cong :premises (@p339) :args (@t285)) % 1.11/1.31 (step @p341 :rule quant-merge-prenex :args ((= (forall @t23 @t287) @t285))) % 1.11/1.31 (step @p342 :rule alpha_equiv :args (@t288 (@list @t277) (@list @t5))) % 1.11/1.31 (step @p343 :rule nary_cong :premises (@p257 @p342) :args (@t289)) % 1.11/1.31 (step @p344 :rule quant-miniscope-or :args ((= @t287 @t289))) % 1.11/1.31 (step @p345 :rule trans :premises (@p344 @p343)) % 1.11/1.31 (step @p346 :rule symm :premises (@p345)) % 1.11/1.31 (step @p347 :rule cong :premises (@p346) :args ((forall @t23 (or @t245 @t291)))) % 1.11/1.31 (step @p348 :rule trans :premises (@p347 @p341)) % 1.11/1.31 (step @p349 :rule trans :premises (@p348 @p340)) % 1.11/1.31 (step @p350 :rule bool-impl-elim :args (@t58 @t291)) % 1.11/1.31 (step @p351 :rule cong :premises (@p350) :args ((forall @t23 (=> @t58 @t291)))) % 1.11/1.31 (step @p352 :rule trans :premises (@p351 @p349)) % 1.11/1.31 (step @p353 :rule bool-impl-elim :args (@t15 @t290)) % 1.11/1.31 (step @p354 :rule cong :premises (@p353) :args ((forall @t17 (=> @t15 @t290)))) % 1.11/1.31 (step @p355 :rule eq-symm :args (@t80 @t2)) % 1.11/1.31 (step @p356 :rule cong :premises (@p146 @p355) :args (@t81)) % 1.11/1.31 (step @p357 :rule cong :premises (@p356) :args (@t82)) % 1.11/1.31 (step @p358 :rule trans :premises (@p357 @p354)) % 1.11/1.31 (step @p359 :rule refl :args (@t58)) % 1.11/1.31 (step @p360 :rule cong :premises (@p359 @p358) :args (@t83)) % 1.11/1.31 (step @p361 :rule cong :premises (@p360) :args (@t84)) % 1.11/1.31 (step @p362 :rule trans :premises (@p361 @p352)) % 1.11/1.31 (step @p363 :rule refl :args (@t38)) % 1.11/1.31 (step @p364 :rule cong :premises (@p363 @p362) :args (@t85)) % 1.11/1.31 (step @p365 :rule refl :args (@t86)) % 1.11/1.31 (step @p366 :rule cong :premises (@p365 @p364) :args (@t87)) % 1.11/1.31 (step @p367 :rule cong :premises (@p366) :args (@t88)) % 1.11/1.31 (step @p368 :rule trans :premises (@p367 @p338)) % 1.11/1.31 (step @p369 :rule eq_resolve :premises (@p17 @p368)) % 1.11/1.31 (step @p370 :rule instantiate :premises (@p369) :args (@t255)) % 1.11/1.31 (step @p371 :rule cnf_or_pos :args (@t294)) % 1.11/1.31 (step @p372 :rule reordering :premises (@p371) :args ((or @t218 @t215 @t293 (not @t294)))) % 1.11/1.31 (step @p373 :rule chain_m_resolution :premises (@p372 @p238 @p230 @p370) :args (@t293 (@list true false false) (@list @t218 @t214 @t294))) % 1.11/1.31 (step @p374 :rule cnf_and_pos :args (@t259 6)) % 1.11/1.31 (step @p375 :rule reordering :premises (@p374) :args ((or @t256 @t261))) % 1.11/1.31 (step @p376 :rule chain_m_resolution :premises (@p375 @p312) :args (@t256 @t262 @t263)) % 1.11/1.31 (step @p377 :rule cnf_equiv_pos1 :args (@t293)) % 1.11/1.31 (step @p378 :rule reordering :premises (@p377) :args ((or @t292 (not @t256) (not @t293)))) % 1.11/1.31 (step @p379 :rule chain_m_resolution :premises (@p378 @p376 @p373) :args (@t292 @t268 (@list @t256 @t293))) % 1.11/1.31 (step @p380 :rule instantiate :premises (@p379) :args (@t295)) % 1.11/1.31 (step @p381 :rule cnf_or_pos :args (@t298)) % 1.11/1.31 (step @p382 :rule reordering :premises (@p381) :args ((or @t242 @t239 @t297 (not @t298)))) % 1.11/1.31 (step @p383 :rule chain_m_resolution :premises (@p382 @p292 @p286 @p380) :args (@t297 @t299 (@list @t241 @t238 @t298))) % 1.11/1.31 (step @p384 :rule aci_norm :args ((= (or (or @t27 @t301 @t300 @t245 @t127) @t118) @t302))) % 1.11/1.31 (step @p385 :rule refl :args (@t118)) % 1.11/1.31 (step @p386 :rule refl :args (@t300)) % 1.11/1.31 (step @p387 :rule refl :args (@t301)) % 1.11/1.31 (step @p388 :rule nary_cong :premises (@p91 @p387 @p386 @p257 @p114) :args (@t303)) % 1.11/1.31 (step @p389 :rule aci_norm :args ((= (or @t150 (or @t301 (or @t300 @t250))) @t303))) % 1.11/1.31 (step @p390 :rule trans :premises (@p389 @p388)) % 1.11/1.31 (step @p391 :rule nary_cong :premises (@p386 @p263) :args ((or @t300 @t251))) % 1.11/1.31 (step @p392 :rule bool-and-de-morgan :args (@t62 @t58 (and @t15))) % 1.11/1.31 (step @p393 :rule trans :premises (@p392 @p391)) % 1.11/1.31 (step @p394 :rule nary_cong :premises (@p387 @p393) :args ((or @t301 (not (and @t62 @t58 @t15))))) % 1.11/1.31 (step @p395 :rule bool-and-de-morgan :args (@t40 @t62 (and @t58 @t15))) % 1.11/1.31 (step @p396 :rule trans :premises (@p395 @p394)) % 1.11/1.31 (step @p397 :rule nary_cong :premises (@p96 @p396) :args ((or @t150 (not (and @t40 @t62 @t58 @t15))))) % 1.11/1.31 (step @p398 :rule bool-and-de-morgan :args (@t28 @t40 (and @t62 @t58 @t15))) % 1.11/1.31 (step @p399 :rule trans :premises (@p398 @p397)) % 1.11/1.31 (step @p400 :rule trans :premises (@p399 @p390)) % 1.11/1.31 (step @p401 :rule nary_cong :premises (@p400 @p385) :args ((or (not @t63) @t118))) % 1.11/1.31 (step @p402 :rule trans :premises (@p401 @p384)) % 1.11/1.31 (step @p403 :rule bool-impl-elim :args (@t63 @t118)) % 1.11/1.31 (step @p404 :rule trans :premises (@p403 @p402)) % 1.11/1.31 (step @p405 :rule cong :premises (@p404) :args (@t119)) % 1.11/1.31 (step @p406 :rule eq_resolve :premises (@p64 @p405)) % 1.11/1.31 (step @p407 :rule eq-symm :args (@t304 @t296)) % 1.11/1.31 (step @p408 :rule refl :args (@t306)) % 1.11/1.31 (step @p409 :rule refl :args (@t242)) % 1.11/1.31 (step @p410 :rule refl :args (@t307)) % 1.11/1.31 (step @p411 :rule refl :args (@t308)) % 1.11/1.31 (step @p412 :rule refl :args (@t218)) % 1.11/1.31 (step @p413 :rule nary_cong :premises (@p412 @p411 @p410 @p409 @p408 @p407) :args (@t309)) % 1.11/1.31 (step @p414 :rule refl :args (@t310)) % 1.11/1.31 (step @p415 :rule cong :premises (@p414 @p413) :args ((=> @t310 @t309))) % 1.11/1.31 (assume-push @p521 @t310) % 1.11/1.31 (step @p417 :rule instantiate :premises (@p406) :args ((@list @t182 @t229 @t271))) % 1.11/1.31 (step-pop @p522 :rule scope :premises (@p417)) % 1.11/1.31 (step @p418 :rule process_scope :premises (@p522) :args (@t309)) % 1.11/1.31 (step @p420 :rule eq_resolve :premises (@p418 @p415)) % 1.11/1.31 (step @p421 :rule implies_elim :premises (@p420)) % 1.11/1.31 (step @p422 :rule chain_m_resolution :premises (@p421 @p406) :args (@t312 @t262 (@list @t310))) % 1.11/1.31 (step @p423 :rule aci_norm :args ((= (or @t248 @t96) (or @t27 @t247 @t246 @t245 @t127 @t96)))) % 1.11/1.31 (step @p424 :rule refl :args (@t96)) % 1.11/1.31 (step @p425 :rule nary_cong :premises (@p273 @p424) :args ((or @t252 @t96))) % 1.11/1.31 (step @p426 :rule trans :premises (@p425 @p423)) % 1.11/1.31 (step @p427 :rule bool-impl-elim :args (@t60 @t96)) % 1.11/1.31 (step @p428 :rule trans :premises (@p427 @p426)) % 1.11/1.31 (step @p429 :rule cong :premises (@p428) :args (@t97)) % 1.11/1.31 (step @p430 :rule eq_resolve :premises (@p22 @p429)) % 1.11/1.31 (step @p431 :rule instantiate :premises (@p430) :args (@t253)) % 1.11/1.31 (step @p432 :rule cnf_or_pos :args (@t314)) % 1.11/1.31 (step @p433 :rule reordering :premises (@p432) :args ((or @t218 @t273 @t274 @t242 @t239 @t313 (not @t314)))) % 1.11/1.31 (step @p434 :rule chain_m_resolution :premises (@p433 @p238 @p325 @p315 @p292 @p286 @p431) :args (@t313 @t276 (@list @t218 @t264 @t258 @t241 @t238 @t314))) % 1.11/1.31 (step @p435 :rule true_intro :premises (@p434)) % 1.11/1.31 (step @p436 :rule refl :args (@t206)) % 1.11/1.31 (step @p437 :rule symm :premises (@p328)) % 1.11/1.31 (step @p438 :rule cong :premises (@p437 @p436) :args (@t305)) % 1.11/1.31 (step @p439 :rule trans :premises (@p438 @p435)) % 1.11/1.31 (step @p440 :rule true_elim :premises (@p439)) % 1.11/1.31 (step @p441 :rule cnf_and_pos :args (@t259 3)) % 1.11/1.31 (step @p442 :rule reordering :premises (@p441) :args ((or @t257 @t261))) % 1.11/1.31 (step @p443 :rule chain_m_resolution :premises (@p442 @p312) :args (@t257 @t262 @t263)) % 1.11/1.31 (step @p444 :rule cnf_and_pos :args (@t266 0)) % 1.11/1.31 (step @p445 :rule reordering :premises (@p444) :args ((or @t265 @t269))) % 1.11/1.31 (step @p446 :rule chain_m_resolution :premises (@p445 @p322) :args (@t265 @t262 @t270)) % 1.11/1.31 (step @p447 :rule cnf_or_pos :args (@t312)) % 1.11/1.31 (step @p448 :rule reordering :premises (@p447) :args ((or @t218 @t307 @t308 @t242 @t306 @t311 (not @t312)))) % 1.11/1.31 (step @p449 :rule chain_m_resolution :premises (@p448 @p238 @p446 @p443 @p292 @p440 @p422) :args (@t311 @t276 (@list @t218 @t265 @t257 @t241 @t305 @t312))) % 1.11/1.31 (step @p450 :rule bool-double-not-elim :args (@t211)) % 1.11/1.31 (step @p451 :rule nary_cong :premises (@p219 @p450) :args ((or @t219 (not @t212)))) % 1.11/1.31 (step @p452 :rule cnf_or_neg :args (@t219 4)) % 1.11/1.31 (step @p453 :rule eq_resolve :premises (@p452 @p451)) % 1.11/1.31 (step @p454 :rule reordering :premises (@p453) :args ((or @t211 @t219))) % 1.11/1.31 (step @p455 :rule chain_m_resolution :premises (@p454 @p217) :args (@t211 @t220 @t221)) % 1.11/1.31 (step @p456 :rule instantiate :premises (@p455) :args ((@list @t229 @t232))) % 1.11/1.31 (step @p457 :rule cnf_or_pos :args (@t320)) % 1.11/1.31 (step @p458 :rule reordering :premises (@p457) :args ((or @t242 @t319 @t318 (not @t320)))) % 1.11/1.31 (step @p459 :rule chain_m_resolution :premises (@p458 @p292 @p434 @p456) :args (@t318 @t299 (@list @t241 @t313 @t320))) % 1.11/1.31 (step @p460 :rule eq-symm :args (@t321 @t234)) % 1.11/1.31 (step @p461 :rule refl :args (@t239)) % 1.11/1.31 (step @p462 :rule nary_cong :premises (@p409 @p461 @p460) :args (@t322)) % 1.11/1.31 (step @p463 :rule refl :args (@t211)) % 1.11/1.31 (step @p464 :rule cong :premises (@p463 @p462) :args ((=> @t211 @t322))) % 1.11/1.31 (assume-push @p523 @t211) % 1.11/1.31 (step @p466 :rule instantiate :premises (@p455) :args (@t295)) % 1.11/1.31 (step-pop @p524 :rule scope :premises (@p466)) % 1.11/1.31 (step @p467 :rule process_scope :premises (@p524) :args (@t322)) % 1.11/1.31 (step @p469 :rule eq_resolve :premises (@p467 @p464)) % 1.11/1.31 (step @p470 :rule implies_elim :premises (@p469)) % 1.11/1.31 (step @p471 :rule chain_m_resolution :premises (@p470 @p455) :args (@t324 @t262 (@list @t211))) % 1.11/1.31 (step @p472 :rule cnf_or_pos :args (@t324)) % 1.11/1.31 (step @p473 :rule reordering :premises (@p472) :args ((or @t242 @t239 @t323 (not @t324)))) % 1.11/1.31 (step @p474 :rule chain_m_resolution :premises (@p473 @p292 @p286 @p471) :args (@t323 @t299 (@list @t241 @t238 @t324))) % 1.11/1.31 (step @p475 :rule bool-double-not-elim :args (@t236)) % 1.11/1.31 (step @p476 :rule nary_cong :premises (@p249 @p475) :args ((or @t243 (not @t237)))) % 1.11/1.31 (step @p477 :rule cnf_or_neg :args (@t243 3)) % 1.11/1.31 (step @p478 :rule eq_resolve :premises (@p477 @p476)) % 1.11/1.31 (step @p479 :rule reordering :premises (@p478) :args ((or @t236 @t243))) % 1.11/1.31 (step @p480 :rule chain_m_resolution :premises (@p479 @p247) :args (@t236 @t220 @t244)) % 1.11/1.31 (step @p481 :rule cnf_and_neg :args (@t321)) % 1.11/1.31 (step @p482 :rule reordering :premises (@p481) :args ((or @t240 @t237 @t321))) % 1.11/1.31 (step @p483 :rule chain_m_resolution :premises (@p482 @p254 @p480) :args (@t321 @t268 (@list @t230 @t236))) % 1.11/1.31 (step @p484 :rule cnf_equiv_pos2 :args (@t323)) % 1.11/1.31 (step @p485 :rule reordering :premises (@p484) :args ((or @t234 (not @t321) (not @t323)))) % 1.11/1.31 (step @p486 :rule chain_m_resolution :premises (@p485 @p483 @p474) :args (@t234 @t268 (@list @t321 @t323))) % 1.11/1.31 (step @p487 :rule cnf_or_neg :args (@t243 4)) % 1.11/1.31 (step @p488 :rule chain_m_resolution :premises (@p487 @p247) :args ((not @t235) @t220 @t244)) % 1.11/1.31 (step @p489 :rule cnf_and_neg :args (@t235)) % 1.11/1.31 (step @p490 :rule chain_m_resolution :premises (@p489 @p488 @p486) :args ((not @t233) @t228 (@list @t235 @t234))) % 1.11/1.31 (step @p491 :rule cnf_and_pos :args (@t317 1)) % 1.11/1.31 (step @p492 :rule reordering :premises (@p491) :args ((or @t233 @t325))) % 1.11/1.31 (step @p493 :rule chain_m_resolution :premises (@p492 @p490) :args (@t325 @t220 (@list @t233))) % 1.11/1.31 (step @p494 :rule cnf_equiv_pos2 :args (@t318)) % 1.11/1.31 (step @p495 :rule reordering :premises (@p494) :args ((or @t317 @t326 (not @t318)))) % 1.11/1.31 (step @p496 :rule chain_m_resolution :premises (@p495 @p493 @p459) :args (@t326 @t228 (@list @t317 @t318))) % 1.11/1.31 (assume-push @p525 @t230) % 1.11/1.31 (assume-push @p526 @t272) % 1.11/1.31 (assume-push @p527 @t297) % 1.11/1.31 (assume-push @p528 @t311) % 1.11/1.31 (step @p501 :rule true_intro :premises (@p254)) % 1.11/1.31 (step @p502 :rule refl :args (@t181)) % 1.11/1.31 (step @p503 :rule symm :premises (@p383)) % 1.11/1.31 (step @p504 :rule symm :premises (@p449)) % 1.11/1.31 (step @p505 :rule refl :args (@t229)) % 1.11/1.31 (step @p506 :rule refl :args (@t182)) % 1.11/1.31 (step @p507 :rule cong :premises (@p506 @p505 @p328) :args (@t315)) % 1.11/1.31 (step @p508 :rule trans :premises (@p507 @p504 @p503)) % 1.11/1.31 (step @p509 :rule cong :premises (@p508 @p502) :args (@t316)) % 1.11/1.31 (step @p510 :rule trans :premises (@p509 @p501)) % 1.11/1.31 (step @p511 :rule true_elim :premises (@p510)) % 1.11/1.31 (step-pop @p529 :rule scope :premises (@p511)) % 1.11/1.31 (step-pop @p530 :rule scope :premises (@p529)) % 1.11/1.31 (step-pop @p531 :rule scope :premises (@p530)) % 1.11/1.32 (step-pop @p532 :rule scope :premises (@p531)) % 1.11/1.32 (step @p512 :rule process_scope :premises (@p532) :args (@t316)) % 1.11/1.32 (step @p517 :rule implies_elim :premises (@p512)) % 1.11/1.32 (step @p518 :rule cnf_and_neg :args (@t327)) % 1.11/1.32 (step @p519 :rule resolution :premises (@p518 @p517) :args (true @t327)) % 1.11/1.32 (step @p520 false :rule chain_m_resolution :premises (@p519 @p496 @p449 @p383 @p328 @p254) :args (false @t226 (@list @t316 @t311 @t297 @t272 @t230))) % 1.11/1.32 ) % 1.11/1.32 % SZS output end Proof % 1.11/1.32 % cvc5 exiting %------------------------------------------------------------------------------