%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT296+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 17.01s 17.21s % Output : Proof 17.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT296+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 06:13:26 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_NAR, FOF, or CNF % 17.01/17.21 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 17.01/17.21 --- Run --no-e-matching --full-saturate-quant at 6... % 17.01/17.21 % SZS status Theorem % 17.01/17.21 % SZS output start Proof % 17.01/17.21 ( % 17.01/17.21 (declare-sort $$unsorted 0) % 17.01/17.21 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.r2_lattices (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.v17_lattices (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.k1_xboole_0 $$unsorted) % 17.01/17.21 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.v15_lattices (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 17.01/17.21 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 17.01/17.21 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.v16_lattices (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 17.01/17.21 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 17.01/17.21 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 17.01/17.21 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.k7_lattices (-> $$unsorted $$unsorted $$unsorted)) % 17.01/17.21 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.v12_lattices (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 17.01/17.21 (declare-const tptp.v14_lattices (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.v13_lattices (-> $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 17.01/17.21 (declare-const tptp.v11_lattices (-> $$unsorted Bool)) % 17.01/17.21 (define @t1 () (@var "D" $$unsorted)) % 17.01/17.21 (define @t2 () (@var "B" $$unsorted)) % 17.01/17.21 (define @t3 () (@var "C" $$unsorted)) % 17.01/17.21 (define @t4 () (@var "A" $$unsorted)) % 17.01/17.21 (define @t5 () (tptp.k7_lattices @t4 @t3)) % 17.01/17.21 (define @t6 () (= @t5 (tptp.k7_lattices @t2 @t1))) % 17.01/17.21 (define @t7 () (= @t3 @t1)) % 17.01/17.21 (define @t8 () (=> @t7 @t6)) % 17.01/17.21 (define @t9 () (tptp.u1_struct_0 @t2)) % 17.01/17.21 (define @t10 () (tptp.m1_subset_1 @t1 @t9)) % 17.01/17.21 (define @t11 () (@list @t1)) % 17.01/17.21 (define @t12 () (forall @t11 (=> @t10 @t8))) % 17.01/17.21 (define @t13 () (tptp.u1_struct_0 @t4)) % 17.01/17.21 (define @t14 () (tptp.m1_subset_1 @t3 @t13)) % 17.01/17.21 (define @t15 () (=> @t14 @t12)) % 17.01/17.21 (define @t16 () (@list @t3)) % 17.01/17.21 (define @t17 () (forall @t16 @t15)) % 17.01/17.21 (define @t18 () (tptp.u1_lattices @t4)) % 17.01/17.21 (define @t19 () (tptp.u2_lattices @t4)) % 17.01/17.21 (define @t20 () (tptp.g3_lattices @t13 @t19 @t18)) % 17.01/17.21 (define @t21 () (= @t20 (tptp.g3_lattices @t9 (tptp.u2_lattices @t2) (tptp.u1_lattices @t2)))) % 17.01/17.21 (define @t22 () (=> @t21 @t17)) % 17.01/17.21 (define @t23 () (tptp.l3_lattices @t2)) % 17.01/17.21 (define @t24 () (tptp.v17_lattices @t2)) % 17.01/17.21 (define @t25 () (tptp.v10_lattices @t2)) % 17.01/17.21 (define @t26 () (tptp.v3_struct_0 @t2)) % 17.01/17.21 (define @t27 () (not @t26)) % 17.01/17.21 (define @t28 () (and @t27 @t25 @t24 @t23)) % 17.01/17.21 (define @t29 () (=> @t28 @t22)) % 17.01/17.21 (define @t30 () (@list @t2)) % 17.01/17.21 (define @t31 () (forall @t30 @t29)) % 17.01/17.21 (define @t32 () (tptp.l3_lattices @t4)) % 17.01/17.21 (define @t33 () (tptp.v17_lattices @t4)) % 17.01/17.21 (define @t34 () (tptp.v10_lattices @t4)) % 17.01/17.21 (define @t35 () (tptp.v3_struct_0 @t4)) % 17.01/17.21 (define @t36 () (not @t35)) % 17.01/17.21 (define @t37 () (and @t36 @t34 @t33 @t32)) % 17.01/17.21 (define @t38 () (=> @t37 @t31)) % 17.01/17.21 (define @t39 () (@list @t4)) % 17.01/17.21 (define @t40 () (forall @t39 @t38)) % 17.01/17.21 (define @t41 () (not @t40)) % 17.01/17.21 (define @t42 () (tptp.v3_lattices @t4)) % 17.01/17.21 (define @t43 () (tptp.r2_hidden @t4 @t2)) % 17.01/17.21 (define @t44 () (@list @t4 @t2)) % 17.01/17.21 (define @t45 () (tptp.v1_funct_1 @t4)) % 17.01/17.21 (define @t46 () (tptp.v1_xboole_0 @t4)) % 17.01/17.21 (define @t47 () (tptp.v9_lattices @t4)) % 17.01/17.21 (define @t48 () (tptp.v8_lattices @t4)) % 17.01/17.21 (define @t49 () (tptp.v7_lattices @t4)) % 17.01/17.21 (define @t50 () (tptp.v6_lattices @t4)) % 17.01/17.21 (define @t51 () (tptp.v5_lattices @t4)) % 17.01/17.21 (define @t52 () (tptp.v4_lattices @t4)) % 17.01/17.21 (define @t53 () (and @t36 @t52 @t51 @t50 @t49 @t48 @t47)) % 17.01/17.21 (define @t54 () (and @t36 @t34)) % 17.01/17.21 (define @t55 () (tptp.k2_zfmisc_1 @t4 @t2)) % 17.01/17.21 (define @t56 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t55))) % 17.01/17.21 (define @t57 () (@list @t4 @t2 @t3)) % 17.01/17.21 (define @t58 () (tptp.v1_relat_1 @t4)) % 17.01/17.21 (define @t59 () (and @t58 @t45 (tptp.v2_funct_1 @t4))) % 17.01/17.21 (define @t60 () (and @t58 @t46 @t45)) % 17.01/17.21 (define @t61 () (tptp.v15_lattices @t4)) % 17.01/17.21 (define @t62 () (and @t36 @t61)) % 17.01/17.21 (define @t63 () (tptp.v14_lattices @t4)) % 17.01/17.21 (define @t64 () (tptp.v13_lattices @t4)) % 17.01/17.21 (define @t65 () (and @t36 @t64 @t63)) % 17.01/17.21 (define @t66 () (tptp.v16_lattices @t4)) % 17.01/17.21 (define @t67 () (tptp.v11_lattices @t4)) % 17.01/17.21 (define @t68 () (and @t36 @t67 @t64 @t63 @t61 @t66)) % 17.01/17.21 (define @t69 () (and @t36 @t33)) % 17.01/17.21 (define @t70 () (=> @t69 @t68)) % 17.01/17.21 (define @t71 () (forall @t39 (=> @t32 @t70))) % 17.01/17.21 (define @t72 () (tptp.v12_lattices @t4)) % 17.01/17.21 (define @t73 () (tptp.k7_lattices @t4 @t2)) % 17.01/17.21 (define @t74 () (= (= @t3 @t73) (tptp.r2_lattices @t4 @t3 @t2))) % 17.01/17.21 (define @t75 () (forall @t16 (=> @t14 @t74))) % 17.01/17.21 (define @t76 () (and @t36 @t34 @t67 @t66 @t32)) % 17.01/17.21 (define @t77 () (=> @t76 @t75)) % 17.01/17.21 (define @t78 () (tptp.m1_subset_1 @t2 @t13)) % 17.01/17.21 (define @t79 () (=> @t78 @t77)) % 17.01/17.21 (define @t80 () (forall @t30 @t79)) % 17.01/17.21 (define @t81 () (and @t36 @t32)) % 17.01/17.21 (define @t82 () (=> @t81 @t80)) % 17.01/17.21 (define @t83 () (forall @t39 @t82)) % 17.01/17.21 (define @t84 () (tptp.g3_lattices @t4 @t2 @t3)) % 17.01/17.21 (define @t85 () (tptp.v3_lattices @t84)) % 17.01/17.21 (define @t86 () (tptp.k2_zfmisc_1 @t4 @t4)) % 17.01/17.21 (define @t87 () (tptp.m1_relset_1 @t3 @t86 @t4)) % 17.01/17.21 (define @t88 () (tptp.v1_funct_2 @t3 @t86 @t4)) % 17.01/17.21 (define @t89 () (tptp.v1_funct_1 @t3)) % 17.01/17.21 (define @t90 () (tptp.m1_relset_1 @t2 @t86 @t4)) % 17.01/17.21 (define @t91 () (tptp.v1_funct_2 @t2 @t86 @t4)) % 17.01/17.21 (define @t92 () (tptp.v1_funct_1 @t2)) % 17.01/17.21 (define @t93 () (and @t92 @t91 @t90 @t89 @t88 @t87)) % 17.01/17.21 (define @t94 () (tptp.m1_subset_1 @t73 @t13)) % 17.01/17.21 (define @t95 () (and @t36 @t32 @t78)) % 17.01/17.21 (define @t96 () (forall @t44 (=> @t95 @t94))) % 17.01/17.21 (define @t97 () (tptp.l1_struct_0 @t4)) % 17.01/17.21 (define @t98 () (tptp.l1_lattices @t4)) % 17.01/17.21 (define @t99 () (tptp.l2_lattices @t4)) % 17.01/17.21 (define @t100 () (and @t98 @t99)) % 17.01/17.21 (define @t101 () (forall @t39 (=> @t32 @t100))) % 17.01/17.21 (define @t102 () (tptp.m2_relset_1 @t3 @t4 @t2)) % 17.01/17.21 (define @t103 () (tptp.k2_zfmisc_1 @t13 @t13)) % 17.01/17.21 (define @t104 () (tptp.v1_funct_2 @t18 @t103 @t13)) % 17.01/17.21 (define @t105 () (tptp.v1_funct_1 @t18)) % 17.01/17.21 (define @t106 () (and @t105 @t104 (tptp.m2_relset_1 @t18 @t103 @t13))) % 17.01/17.21 (define @t107 () (forall @t39 (=> @t98 @t106))) % 17.01/17.21 (define @t108 () (tptp.v1_funct_2 @t19 @t103 @t13)) % 17.01/17.21 (define @t109 () (tptp.v1_funct_1 @t19)) % 17.01/17.21 (define @t110 () (and @t109 @t108 (tptp.m2_relset_1 @t19 @t103 @t13))) % 17.01/17.21 (define @t111 () (forall @t39 (=> @t99 @t110))) % 17.01/17.21 (define @t112 () (tptp.m1_relset_1 @t3 @t4 @t2)) % 17.01/17.21 (define @t113 () (and @t36 @t97)) % 17.01/17.21 (define @t114 () (tptp.k1_zfmisc_1 @t4)) % 17.01/17.21 (define @t115 () (tptp.v1_partfun1 @t19 @t103 @t13)) % 17.01/17.21 (define @t116 () (tptp.v1_relat_1 @t19)) % 17.01/17.21 (define @t117 () (not @t46)) % 17.01/17.21 (define @t118 () (tptp.v1_partfun1 @t18 @t103 @t13)) % 17.01/17.21 (define @t119 () (tptp.v1_relat_1 @t18)) % 17.01/17.21 (define @t120 () (tptp.v1_xboole_0 @t2)) % 17.01/17.21 (define @t121 () (not @t120)) % 17.01/17.21 (define @t122 () (@var "F" $$unsorted)) % 17.01/17.21 (define @t123 () (@var "E" $$unsorted)) % 17.01/17.21 (define @t124 () (and (= @t4 @t1) (= @t2 @t123) (= @t3 @t122))) % 17.01/17.21 (define @t125 () (= @t84 (tptp.g3_lattices @t1 @t123 @t122))) % 17.01/17.21 (define @t126 () (@list @t1 @t123 @t122)) % 17.01/17.21 (define @t127 () (forall @t126 (=> @t125 @t124))) % 17.01/17.21 (define @t128 () (=> @t93 @t127)) % 17.01/17.21 (define @t129 () (forall @t57 @t128)) % 17.01/17.21 (define @t130 () (tptp.m1_subset_1 @t2 @t114)) % 17.01/17.21 (define @t131 () (tptp.r2_lattices @t2 @t123 @t122)) % 17.01/17.21 (define @t132 () (tptp.r2_lattices @t4 @t3 @t1)) % 17.01/17.21 (define @t133 () (= @t1 @t122)) % 17.01/17.21 (define @t134 () (= @t3 @t123)) % 17.01/17.21 (define @t135 () (and @t134 @t133 @t132)) % 17.01/17.21 (define @t136 () (=> @t135 @t131)) % 17.01/17.21 (define @t137 () (tptp.m1_subset_1 @t122 @t9)) % 17.01/17.21 (define @t138 () (@list @t122)) % 17.01/17.21 (define @t139 () (forall @t138 (=> @t137 @t136))) % 17.01/17.21 (define @t140 () (tptp.m1_subset_1 @t123 @t9)) % 17.01/17.21 (define @t141 () (=> @t140 @t139)) % 17.01/17.21 (define @t142 () (@list @t123)) % 17.01/17.21 (define @t143 () (forall @t142 @t141)) % 17.01/17.21 (define @t144 () (tptp.m1_subset_1 @t1 @t13)) % 17.01/17.21 (define @t145 () (=> @t144 @t143)) % 17.01/17.21 (define @t146 () (forall @t11 @t145)) % 17.01/17.21 (define @t147 () (=> @t14 @t146)) % 17.01/17.21 (define @t148 () (forall @t16 @t147)) % 17.01/17.21 (define @t149 () (=> @t21 @t148)) % 17.01/17.21 (define @t150 () (tptp.v16_lattices @t2)) % 17.01/17.21 (define @t151 () (tptp.v15_lattices @t2)) % 17.01/17.21 (define @t152 () (and @t27 @t25 @t151 @t150 @t23)) % 17.01/17.21 (define @t153 () (=> @t152 @t149)) % 17.01/17.21 (define @t154 () (forall @t30 @t153)) % 17.01/17.21 (define @t155 () (and @t36 @t34 @t61 @t66 @t32)) % 17.01/17.21 (define @t156 () (=> @t155 @t154)) % 17.01/17.21 (define @t157 () (forall @t39 @t156)) % 17.01/17.21 (define @t158 () (tptp.m1_subset_1 @t4 @t2)) % 17.01/17.21 (define @t159 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t3))) % 17.01/17.21 (define @t160 () (@var "BOUND_VARIABLE_7859" $$unsorted)) % 17.01/17.21 (define @t161 () (@var "BOUND_VARIABLE_7857" $$unsorted)) % 17.01/17.21 (define @t162 () (= (tptp.k7_lattices @t4 @t160) (tptp.k7_lattices @t161 @t160))) % 17.01/17.21 (define @t163 () (tptp.u1_struct_0 @t161)) % 17.01/17.21 (define @t164 () (not (tptp.m1_subset_1 @t160 @t163))) % 17.01/17.21 (define @t165 () (not (tptp.m1_subset_1 @t160 @t13))) % 17.01/17.21 (define @t166 () (not (= @t20 (tptp.g3_lattices @t163 (tptp.u2_lattices @t161) (tptp.u1_lattices @t161))))) % 17.01/17.21 (define @t167 () (not (tptp.l3_lattices @t161))) % 17.01/17.21 (define @t168 () (not (tptp.v17_lattices @t161))) % 17.01/17.21 (define @t169 () (not (tptp.v10_lattices @t161))) % 17.01/17.21 (define @t170 () (tptp.v3_struct_0 @t161)) % 17.01/17.21 (define @t171 () (not @t32)) % 17.01/17.21 (define @t172 () (not @t33)) % 17.01/17.21 (define @t173 () (not @t34)) % 17.01/17.21 (define @t174 () (or @t35 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t162)) % 17.01/17.21 (define @t175 () (or @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t162)) % 17.01/17.21 (define @t176 () (or @t35 @t173 @t172 @t171 @t175)) % 17.01/17.21 (define @t177 () (@list @t4 @t161 @t160)) % 17.01/17.21 (define @t178 () (forall @t177 @t176)) % 17.01/17.21 (define @t179 () (@list @t161 @t160)) % 17.01/17.21 (define @t180 () (forall @t179 @t176)) % 17.01/17.21 (define @t181 () (forall @t179 @t175)) % 17.01/17.21 (define @t182 () (@var "BOUND_VARIABLE_7833" $$unsorted)) % 17.01/17.21 (define @t183 () (or @t35 @t173 @t172 @t171 @t181)) % 17.01/17.21 (define @t184 () (= (tptp.k7_lattices @t4 @t182) (tptp.k7_lattices @t2 @t182))) % 17.01/17.21 (define @t185 () (not (tptp.m1_subset_1 @t182 @t9))) % 17.01/17.21 (define @t186 () (not (tptp.m1_subset_1 @t182 @t13))) % 17.01/17.21 (define @t187 () (not @t21)) % 17.01/17.21 (define @t188 () (not @t23)) % 17.01/17.21 (define @t189 () (not @t24)) % 17.01/17.21 (define @t190 () (not @t25)) % 17.01/17.21 (define @t191 () (or @t26 @t190 @t189 @t188 @t187 @t186 @t185 @t184)) % 17.01/17.21 (define @t192 () (@list @t2 @t182)) % 17.01/17.21 (define @t193 () (forall @t192 @t191)) % 17.01/17.21 (define @t194 () (or @t35 @t173 @t172 @t171 @t193)) % 17.01/17.21 (define @t195 () (not @t36)) % 17.01/17.21 (define @t196 () (or @t195 @t173 @t172 @t171)) % 17.01/17.21 (define @t197 () (or @t186 @t185 @t184)) % 17.01/17.21 (define @t198 () (or @t26 @t190 @t189 @t188 @t187 @t197)) % 17.01/17.21 (define @t199 () (forall @t192 @t198)) % 17.01/17.21 (define @t200 () (@list @t182)) % 17.01/17.21 (define @t201 () (forall @t200 @t198)) % 17.01/17.21 (define @t202 () (forall @t200 @t197)) % 17.01/17.21 (define @t203 () (@list @t3)) % 17.01/17.21 (define @t204 () (or @t26 @t190 @t189 @t188 @t187 @t202)) % 17.01/17.21 (define @t205 () (= @t5 (tptp.k7_lattices @t2 @t3))) % 17.01/17.21 (define @t206 () (not (tptp.m1_subset_1 @t3 @t9))) % 17.01/17.21 (define @t207 () (not @t14)) % 17.01/17.21 (define @t208 () (or @t207 @t206 @t205)) % 17.01/17.21 (define @t209 () (forall @t16 @t208)) % 17.01/17.21 (define @t210 () (or @t26 @t190 @t189 @t188 @t187 @t209)) % 17.01/17.21 (define @t211 () (not @t27)) % 17.01/17.21 (define @t212 () (or @t211 @t190 @t189 @t188)) % 17.01/17.21 (define @t213 () (=> @t21 @t209)) % 17.01/17.21 (define @t214 () (or @t206 @t205)) % 17.01/17.21 (define @t215 () (not (= @t3 @t3))) % 17.01/17.21 (define @t216 () (or @t206 @t215 @t205)) % 17.01/17.21 (define @t217 () (not @t7)) % 17.01/17.21 (define @t218 () (not @t10)) % 17.01/17.21 (define @t219 () (or @t217 @t218 @t217 @t6)) % 17.01/17.21 (define @t220 () (or @t218 @t217 @t6)) % 17.01/17.21 (define @t221 () (forall @t177 @t174)) % 17.01/17.21 (define @t222 () (@quantifiers_skolemize @t221 2)) % 17.01/17.21 (define @t223 () (@quantifiers_skolemize @t221 1)) % 17.01/17.21 (define @t224 () (@quantifiers_skolemize @t221 0)) % 17.01/17.21 (define @t225 () (tptp.k7_lattices @t224 @t222)) % 17.01/17.21 (define @t226 () (= @t225 (tptp.k7_lattices @t223 @t222))) % 17.01/17.21 (define @t227 () (tptp.u1_struct_0 @t223)) % 17.01/17.21 (define @t228 () (tptp.m1_subset_1 @t222 @t227)) % 17.01/17.21 (define @t229 () (not @t228)) % 17.01/17.21 (define @t230 () (tptp.u1_struct_0 @t224)) % 17.01/17.21 (define @t231 () (tptp.m1_subset_1 @t222 @t230)) % 17.01/17.21 (define @t232 () (not @t231)) % 17.01/17.21 (define @t233 () (tptp.u1_lattices @t223)) % 17.01/17.21 (define @t234 () (tptp.u2_lattices @t223)) % 17.01/17.21 (define @t235 () (tptp.u1_lattices @t224)) % 17.01/17.21 (define @t236 () (tptp.u2_lattices @t224)) % 17.01/17.21 (define @t237 () (= (tptp.g3_lattices @t230 @t236 @t235) (tptp.g3_lattices @t227 @t234 @t233))) % 17.01/17.21 (define @t238 () (not @t237)) % 17.01/17.21 (define @t239 () (tptp.l3_lattices @t223)) % 17.01/17.21 (define @t240 () (not @t239)) % 17.01/17.21 (define @t241 () (tptp.v17_lattices @t223)) % 17.01/17.21 (define @t242 () (not @t241)) % 17.01/17.21 (define @t243 () (tptp.v10_lattices @t223)) % 17.01/17.21 (define @t244 () (not @t243)) % 17.01/17.21 (define @t245 () (tptp.v3_struct_0 @t223)) % 17.01/17.21 (define @t246 () (tptp.l3_lattices @t224)) % 17.01/17.21 (define @t247 () (not @t246)) % 17.01/17.21 (define @t248 () (tptp.v17_lattices @t224)) % 17.01/17.21 (define @t249 () (not @t248)) % 17.01/17.21 (define @t250 () (tptp.v10_lattices @t224)) % 17.01/17.21 (define @t251 () (not @t250)) % 17.01/17.21 (define @t252 () (tptp.v3_struct_0 @t224)) % 17.01/17.21 (define @t253 () (or @t252 @t251 @t249 @t247 @t245 @t244 @t242 @t240 @t238 @t232 @t229 @t226)) % 17.01/17.21 (define @t254 () (@list true)) % 17.01/17.21 (define @t255 () (@list @t253)) % 17.01/17.21 (define @t256 () (@var "BOUND_VARIABLE_8003" $$unsorted)) % 17.01/17.21 (define @t257 () (tptp.k7_lattices @t4 @t256)) % 17.01/17.21 (define @t258 () (@var "BOUND_VARIABLE_8005" $$unsorted)) % 17.01/17.21 (define @t259 () (tptp.r2_lattices @t4 @t258 @t256)) % 17.01/17.21 (define @t260 () (= @t259 (= @t257 @t258))) % 17.01/17.21 (define @t261 () (not (tptp.m1_subset_1 @t258 @t13))) % 17.01/17.21 (define @t262 () (not (tptp.m1_subset_1 @t256 @t13))) % 17.01/17.21 (define @t263 () (not @t66)) % 17.01/17.21 (define @t264 () (not @t67)) % 17.01/17.21 (define @t265 () (or @t35 @t171 @t173 @t264 @t263 @t262 @t261 @t260)) % 17.01/17.21 (define @t266 () (or @t262 @t261 @t260)) % 17.01/17.21 (define @t267 () (or @t35 @t171 @t173 @t264 @t263 @t266)) % 17.01/17.21 (define @t268 () (@list @t4 @t256 @t258)) % 17.01/17.21 (define @t269 () (forall @t268 @t267)) % 17.01/17.21 (define @t270 () (@list @t256 @t258)) % 17.01/17.21 (define @t271 () (forall @t270 @t267)) % 17.01/17.21 (define @t272 () (forall @t270 @t266)) % 17.01/17.21 (define @t273 () (@var "BOUND_VARIABLE_7979" $$unsorted)) % 17.01/17.21 (define @t274 () (or @t35 @t171 @t173 @t264 @t263 @t272)) % 17.01/17.21 (define @t275 () (= @t73 @t273)) % 17.01/17.21 (define @t276 () (tptp.r2_lattices @t4 @t273 @t2)) % 17.01/17.21 (define @t277 () (not (tptp.m1_subset_1 @t273 @t13))) % 17.01/17.21 (define @t278 () (not @t78)) % 17.01/17.21 (define @t279 () (@list @t2 @t273)) % 17.01/17.21 (define @t280 () (forall @t279 (or @t278 @t277 (= @t276 @t275)))) % 17.01/17.21 (define @t281 () (or @t35 @t171 @t173 @t264 @t263 @t280)) % 17.01/17.21 (define @t282 () (or @t35 @t173 @t264 @t263 @t171 @t280)) % 17.01/17.21 (define @t283 () (= (= @t273 @t73) @t276)) % 17.01/17.21 (define @t284 () (or @t278 @t277 @t283)) % 17.01/17.21 (define @t285 () (or @t277 @t283)) % 17.01/17.21 (define @t286 () (or @t278 @t285)) % 17.01/17.21 (define @t287 () (forall @t279 @t286)) % 17.01/17.21 (define @t288 () (@list @t273)) % 17.01/17.21 (define @t289 () (forall @t288 @t286)) % 17.01/17.21 (define @t290 () (forall @t288 @t285)) % 17.01/17.21 (define @t291 () (or @t278 @t290)) % 17.01/17.21 (define @t292 () (forall @t16 (or @t207 @t74))) % 17.01/17.21 (define @t293 () (or @t278 @t292)) % 17.01/17.21 (define @t294 () (forall @t30 @t293)) % 17.01/17.21 (define @t295 () (or @t35 @t173 @t264 @t263 @t171 @t294)) % 17.01/17.21 (define @t296 () (or @t35 @t173 @t264 @t263 @t171 @t293)) % 17.01/17.21 (define @t297 () (or @t278 @t35 @t173 @t264 @t263 @t171 @t292)) % 17.01/17.21 (define @t298 () (or @t35 @t173 @t264 @t263 @t171 @t292)) % 17.01/17.21 (define @t299 () (or @t195 @t173 @t264 @t263 @t171)) % 17.01/17.21 (define @t300 () (or @t263 @t171)) % 17.01/17.21 (define @t301 () (not (and @t66 @t32))) % 17.01/17.21 (define @t302 () (=> @t76 @t292)) % 17.01/17.21 (define @t303 () (tptp.r2_lattices @t223 @t225 @t222)) % 17.01/17.21 (define @t304 () (tptp.m1_subset_1 @t225 @t227)) % 17.01/17.21 (define @t305 () (not @t304)) % 17.01/17.21 (define @t306 () (tptp.v16_lattices @t223)) % 17.01/17.21 (define @t307 () (not @t306)) % 17.01/17.21 (define @t308 () (tptp.v11_lattices @t223)) % 17.01/17.21 (define @t309 () (not @t308)) % 17.01/17.21 (define @t310 () (or @t245 @t240 @t244 @t309 @t307 @t229 @t305 (= @t303 @t226))) % 17.01/17.21 (define @t311 () (forall @t268 (or @t35 @t171 @t173 @t264 @t263 @t262 @t261 (= @t259 (= @t258 @t257))))) % 17.01/17.21 (define @t312 () (= @t226 @t303)) % 17.01/17.21 (define @t313 () (or @t245 @t240 @t244 @t309 @t307 @t229 @t305 @t312)) % 17.01/17.21 (define @t314 () (@list false)) % 17.01/17.21 (define @t315 () (@list @t311)) % 17.01/17.21 (define @t316 () (or @t195 @t171 @t278)) % 17.01/17.21 (define @t317 () (not @t252)) % 17.01/17.21 (define @t318 () (tptp.m1_subset_1 @t225 @t230)) % 17.01/17.21 (define @t319 () (or @t252 @t247 @t232 @t318)) % 17.01/17.21 (define @t320 () (@list true false false false)) % 17.01/17.21 (define @t321 () (@var "BOUND_VARIABLE_8135" $$unsorted)) % 17.01/17.21 (define @t322 () (@var "BOUND_VARIABLE_8133" $$unsorted)) % 17.01/17.21 (define @t323 () (@var "BOUND_VARIABLE_8131" $$unsorted)) % 17.01/17.21 (define @t324 () (and (= @t4 @t323) (= @t2 @t322) (= @t3 @t321))) % 17.01/17.21 (define @t325 () (not (= @t84 (tptp.g3_lattices @t323 @t322 @t321)))) % 17.01/17.21 (define @t326 () (not @t87)) % 17.01/17.21 (define @t327 () (not @t88)) % 17.01/17.21 (define @t328 () (not @t89)) % 17.01/17.21 (define @t329 () (not @t90)) % 17.01/17.21 (define @t330 () (not @t91)) % 17.01/17.21 (define @t331 () (not @t92)) % 17.01/17.21 (define @t332 () (or @t325 @t324)) % 17.01/17.21 (define @t333 () (or @t331 @t330 @t329 @t328 @t327 @t326 @t332)) % 17.01/17.21 (define @t334 () (forall (@list @t4 @t2 @t3 @t323 @t322 @t321) @t333)) % 17.01/17.21 (define @t335 () (@list @t323 @t322 @t321)) % 17.01/17.21 (define @t336 () (forall @t335 @t333)) % 17.01/17.21 (define @t337 () (forall @t335 @t332)) % 17.01/17.21 (define @t338 () (or @t331 @t330 @t329 @t328 @t327 @t326 @t337)) % 17.01/17.21 (define @t339 () (forall @t126 (or (not @t125) @t124))) % 17.01/17.21 (define @t340 () (or @t331 @t330 @t329 @t328 @t327 @t326 @t339)) % 17.01/17.21 (define @t341 () (or @t331 @t330 @t329 @t328 @t327 @t326)) % 17.01/17.21 (define @t342 () (tptp.k2_zfmisc_1 @t230 @t230)) % 17.01/17.21 (define @t343 () (@list @t224)) % 17.01/17.21 (define @t344 () (tptp.l2_lattices @t224)) % 17.01/17.21 (define @t345 () (tptp.l1_lattices @t224)) % 17.01/17.21 (define @t346 () (and @t345 @t344)) % 17.01/17.21 (define @t347 () (or @t247 @t346)) % 17.01/17.21 (define @t348 () (@list false false)) % 17.01/17.21 (define @t349 () (not @t346)) % 17.01/17.21 (define @t350 () (@list @t346)) % 17.01/17.21 (define @t351 () (tptp.m2_relset_1 @t235 @t342 @t230)) % 17.01/17.21 (define @t352 () (tptp.v1_funct_2 @t235 @t342 @t230)) % 17.01/17.21 (define @t353 () (tptp.v1_funct_1 @t235)) % 17.01/17.21 (define @t354 () (and @t353 @t352 @t351)) % 17.01/17.21 (define @t355 () (not @t345)) % 17.01/17.21 (define @t356 () (or @t355 @t354)) % 17.01/17.21 (define @t357 () (not @t354)) % 17.01/17.21 (define @t358 () (@list @t354)) % 17.01/17.21 (define @t359 () (tptp.m1_relset_1 @t235 @t342 @t230)) % 17.01/17.21 (define @t360 () (= @t351 @t359)) % 17.01/17.21 (define @t361 () (tptp.m2_relset_1 @t236 @t342 @t230)) % 17.01/17.21 (define @t362 () (tptp.v1_funct_2 @t236 @t342 @t230)) % 17.01/17.21 (define @t363 () (tptp.v1_funct_1 @t236)) % 17.01/17.21 (define @t364 () (and @t363 @t362 @t361)) % 17.01/17.21 (define @t365 () (not @t344)) % 17.01/17.21 (define @t366 () (or @t365 @t364)) % 17.01/17.21 (define @t367 () (not @t364)) % 17.01/17.21 (define @t368 () (@list @t364)) % 17.01/17.21 (define @t369 () (tptp.m1_relset_1 @t236 @t342 @t230)) % 17.01/17.21 (define @t370 () (= @t361 @t369)) % 17.01/17.21 (define @t371 () (= @t230 @t227)) % 17.01/17.21 (define @t372 () (and @t371 (= @t236 @t234) (= @t235 @t233))) % 17.01/17.21 (define @t373 () (not @t359)) % 17.01/17.21 (define @t374 () (not @t352)) % 17.01/17.21 (define @t375 () (not @t353)) % 17.01/17.21 (define @t376 () (not @t369)) % 17.01/17.21 (define @t377 () (not @t362)) % 17.01/17.21 (define @t378 () (not @t363)) % 17.01/17.21 (define @t379 () (or @t378 @t377 @t376 @t375 @t374 @t373 @t238 @t372)) % 17.01/17.21 (define @t380 () (or @t35 @t172 @t68)) % 17.01/17.21 (define @t381 () (not @t245)) % 17.01/17.21 (define @t382 () (tptp.v15_lattices @t223)) % 17.01/17.21 (define @t383 () (and @t381 @t308 (tptp.v13_lattices @t223) (tptp.v14_lattices @t223) @t382 @t306)) % 17.01/17.21 (define @t384 () (or @t240 @t245 @t242 @t383)) % 17.01/17.21 (define @t385 () (not @t383)) % 17.01/17.21 (define @t386 () (@list @t383)) % 17.01/17.21 (define @t387 () (@list true false false false false false false false)) % 17.01/17.21 (define @t388 () (@var "BOUND_VARIABLE_8373" $$unsorted)) % 17.01/17.21 (define @t389 () (@var "BOUND_VARIABLE_8371" $$unsorted)) % 17.01/17.21 (define @t390 () (@var "BOUND_VARIABLE_8369" $$unsorted)) % 17.01/17.21 (define @t391 () (tptp.r2_lattices @t390 @t389 @t388)) % 17.01/17.21 (define @t392 () (tptp.u1_struct_0 @t390)) % 17.01/17.21 (define @t393 () (not (tptp.m1_subset_1 @t388 @t392))) % 17.01/17.21 (define @t394 () (not (tptp.r2_lattices @t4 @t389 @t388))) % 17.01/17.21 (define @t395 () (not (tptp.m1_subset_1 @t388 @t13))) % 17.01/17.21 (define @t396 () (not (tptp.m1_subset_1 @t389 @t392))) % 17.01/17.21 (define @t397 () (not (tptp.m1_subset_1 @t389 @t13))) % 17.01/17.21 (define @t398 () (not (= @t20 (tptp.g3_lattices @t392 (tptp.u2_lattices @t390) (tptp.u1_lattices @t390))))) % 17.01/17.21 (define @t399 () (not (tptp.l3_lattices @t390))) % 17.01/17.21 (define @t400 () (not (tptp.v16_lattices @t390))) % 17.01/17.21 (define @t401 () (not (tptp.v15_lattices @t390))) % 17.01/17.21 (define @t402 () (not (tptp.v10_lattices @t390))) % 17.01/17.21 (define @t403 () (tptp.v3_struct_0 @t390)) % 17.01/17.21 (define @t404 () (not @t61)) % 17.01/17.21 (define @t405 () (or @t403 @t402 @t401 @t400 @t399 @t398 @t397 @t396 @t395 @t394 @t393 @t391)) % 17.01/17.21 (define @t406 () (or @t35 @t173 @t404 @t263 @t171 @t405)) % 17.01/17.21 (define @t407 () (forall (@list @t4 @t390 @t389 @t388) @t406)) % 17.01/17.21 (define @t408 () (@list @t390 @t389 @t388)) % 17.01/17.21 (define @t409 () (forall @t408 @t406)) % 17.01/17.21 (define @t410 () (forall @t408 @t405)) % 17.01/17.21 (define @t411 () (@var "BOUND_VARIABLE_8344" $$unsorted)) % 17.01/17.21 (define @t412 () (@var "BOUND_VARIABLE_8342" $$unsorted)) % 17.01/17.21 (define @t413 () (or @t35 @t173 @t404 @t263 @t171 @t410)) % 17.01/17.21 (define @t414 () (tptp.r2_lattices @t2 @t412 @t411)) % 17.01/17.21 (define @t415 () (not (tptp.m1_subset_1 @t411 @t9))) % 17.01/17.21 (define @t416 () (not (tptp.r2_lattices @t4 @t412 @t411))) % 17.01/17.21 (define @t417 () (not (tptp.m1_subset_1 @t411 @t13))) % 17.01/17.21 (define @t418 () (not (tptp.m1_subset_1 @t412 @t9))) % 17.01/17.21 (define @t419 () (not (tptp.m1_subset_1 @t412 @t13))) % 17.01/17.21 (define @t420 () (not @t150)) % 17.01/17.21 (define @t421 () (not @t151)) % 17.01/17.21 (define @t422 () (or @t26 @t190 @t421 @t420 @t188 @t187 @t419 @t418 @t417 @t416 @t415 @t414)) % 17.01/17.21 (define @t423 () (@list @t2 @t412 @t411)) % 17.01/17.21 (define @t424 () (forall @t423 @t422)) % 17.01/17.21 (define @t425 () (or @t35 @t173 @t404 @t263 @t171 @t424)) % 17.01/17.21 (define @t426 () (or @t195 @t173 @t404 @t263 @t171)) % 17.01/17.21 (define @t427 () (or @t419 @t418 @t417 @t416 @t415 @t414)) % 17.01/17.21 (define @t428 () (or @t26 @t190 @t421 @t420 @t188 @t187 @t427)) % 17.01/17.21 (define @t429 () (forall @t423 @t428)) % 17.01/17.21 (define @t430 () (@list @t412 @t411)) % 17.01/17.21 (define @t431 () (forall @t430 @t428)) % 17.01/17.21 (define @t432 () (forall @t430 @t427)) % 17.01/17.21 (define @t433 () (@var "BOUND_VARIABLE_8317" $$unsorted)) % 17.01/17.21 (define @t434 () (or @t26 @t190 @t421 @t420 @t188 @t187 @t432)) % 17.01/17.21 (define @t435 () (tptp.r2_lattices @t2 @t3 @t433)) % 17.01/17.21 (define @t436 () (not (tptp.m1_subset_1 @t433 @t9))) % 17.01/17.21 (define @t437 () (not (tptp.r2_lattices @t4 @t3 @t433))) % 17.01/17.21 (define @t438 () (not (tptp.m1_subset_1 @t433 @t13))) % 17.01/17.21 (define @t439 () (or @t207 @t206 @t438 @t437 @t436 @t435)) % 17.01/17.21 (define @t440 () (@list @t3 @t433)) % 17.01/17.21 (define @t441 () (forall @t440 @t439)) % 17.01/17.21 (define @t442 () (or @t26 @t190 @t421 @t420 @t188 @t187 @t441)) % 17.01/17.21 (define @t443 () (or @t211 @t190 @t421 @t420 @t188)) % 17.01/17.21 (define @t444 () (=> @t21 @t441)) % 17.01/17.21 (define @t445 () (or @t438 @t437 @t436 @t435)) % 17.01/17.21 (define @t446 () (or @t207 @t206 @t445)) % 17.01/17.21 (define @t447 () (forall @t440 @t446)) % 17.01/17.21 (define @t448 () (@list @t433)) % 17.01/17.21 (define @t449 () (forall @t448 @t446)) % 17.01/17.21 (define @t450 () (forall @t448 @t445)) % 17.01/17.21 (define @t451 () (or @t207 @t206 @t450)) % 17.01/17.21 (define @t452 () (tptp.r2_lattices @t2 @t3 @t1)) % 17.01/17.21 (define @t453 () (not @t132)) % 17.01/17.21 (define @t454 () (not @t144)) % 17.01/17.21 (define @t455 () (or @t454 @t453 @t218 @t452)) % 17.01/17.21 (define @t456 () (forall @t11 @t455)) % 17.01/17.21 (define @t457 () (or @t207 @t206 @t456)) % 17.01/17.21 (define @t458 () (or @t206 @t456)) % 17.01/17.21 (define @t459 () (or @t206 @t455)) % 17.01/17.21 (define @t460 () (or @t454 @t453 @t218 @t206 @t452)) % 17.01/17.21 (define @t461 () (or @t453 @t218 @t206 @t452)) % 17.01/17.21 (define @t462 () (or @t206 @t452)) % 17.01/17.21 (define @t463 () (or @t206 @t215 @t452)) % 17.01/17.21 (define @t464 () (tptp.r2_lattices @t2 @t123 @t1)) % 17.01/17.21 (define @t465 () (not @t134)) % 17.01/17.21 (define @t466 () (not @t140)) % 17.01/17.21 (define @t467 () (or @t465 @t466 @t465 @t464)) % 17.01/17.21 (define @t468 () (or @t466 @t465 @t464)) % 17.01/17.21 (define @t469 () (forall @t142 @t468)) % 17.01/17.21 (define @t470 () (or @t453 @t218 @t469)) % 17.01/17.21 (define @t471 () (or @t453 @t218 @t468)) % 17.01/17.21 (define @t472 () (or @t466 @t465 @t453 @t218 @t464)) % 17.01/17.21 (define @t473 () (or @t465 @t453 @t218 @t464)) % 17.01/17.21 (define @t474 () (or @t218 @t464)) % 17.01/17.21 (define @t475 () (not (= @t1 @t1))) % 17.01/17.21 (define @t476 () (or @t218 @t475 @t464)) % 17.01/17.21 (define @t477 () (not @t133)) % 17.01/17.21 (define @t478 () (not @t137)) % 17.01/17.21 (define @t479 () (or @t477 @t478 @t477 @t131)) % 17.01/17.21 (define @t480 () (or @t478 @t477 @t131)) % 17.01/17.21 (define @t481 () (forall @t138 @t480)) % 17.01/17.21 (define @t482 () (or @t465 @t453 @t481)) % 17.01/17.21 (define @t483 () (or @t465 @t453 @t480)) % 17.01/17.21 (define @t484 () (or @t478 @t465 @t477 @t453 @t131)) % 17.01/17.21 (define @t485 () (or @t465 @t477 @t453 @t131)) % 17.01/17.21 (define @t486 () (or @t465 @t477 @t453)) % 17.01/17.21 (define @t487 () (tptp.r2_lattices @t224 @t225 @t222)) % 17.01/17.21 (define @t488 () (= @t487 (= @t225 @t225))) % 17.01/17.21 (define @t489 () (not @t318)) % 17.01/17.21 (define @t490 () (tptp.v16_lattices @t224)) % 17.01/17.21 (define @t491 () (not @t490)) % 17.01/17.21 (define @t492 () (tptp.v11_lattices @t224)) % 17.01/17.21 (define @t493 () (not @t492)) % 17.01/17.21 (define @t494 () (or @t252 @t247 @t251 @t493 @t491 @t232 @t489 @t488)) % 17.01/17.21 (define @t495 () (or @t252 @t247 @t251 @t493 @t491 @t232 @t489 @t487)) % 17.01/17.21 (define @t496 () (tptp.v15_lattices @t224)) % 17.01/17.21 (define @t497 () (and @t317 @t492 (tptp.v13_lattices @t224) (tptp.v14_lattices @t224) @t496 @t490)) % 17.01/17.21 (define @t498 () (or @t247 @t252 @t249 @t497)) % 17.01/17.21 (define @t499 () (not @t497)) % 17.01/17.21 (define @t500 () (@list @t497)) % 17.01/17.21 (define @t501 () (not @t487)) % 17.01/17.21 (define @t502 () (not @t382)) % 17.01/17.21 (define @t503 () (not @t496)) % 17.01/17.21 (define @t504 () (or @t252 @t251 @t503 @t491 @t247 @t245 @t244 @t502 @t307 @t240 @t238 @t489 @t305 @t232 @t501 @t229 @t303)) % 17.01/17.21 (assume @p1 @t41) % 17.01/17.21 (assume @p2 (forall @t39 (=> @t32 (=> @t42 (= @t4 @t20))))) % 17.01/17.21 (assume @p3 (forall @t44 (=> @t43 (not (tptp.r2_hidden @t2 @t4))))) % 17.01/17.21 (assume @p4 (forall @t39 (=> @t46 @t45))) % 17.01/17.21 (assume @p5 (forall @t39 (=> @t32 (=> @t54 @t53)))) % 17.01/17.21 (assume @p6 (forall @t57 (=> @t56 (tptp.v1_relat_1 @t3)))) % 17.01/17.21 (assume @p7 (forall @t39 (=> @t60 @t59))) % 17.01/17.21 (assume @p8 (forall @t39 (=> @t32 (=> @t53 @t54)))) % 17.01/17.21 (assume @p9 (forall @t39 (=> @t32 (=> @t65 @t62)))) % 17.01/17.21 (assume @p10 (forall @t39 (=> @t32 (=> @t62 @t65)))) % 17.01/17.21 (assume @p11 @t71) % 17.01/17.21 (assume @p12 (forall @t39 (=> @t32 (=> (and @t36 @t67 @t61 @t66) @t69)))) % 17.01/17.21 (assume @p13 (forall @t39 (=> @t32 (=> (and @t36 @t34 @t67) (and @t36 @t52 @t51 @t50 @t49 @t48 @t47 @t34 @t72))))) % 17.01/17.21 (assume @p14 @t83) % 17.01/17.21 (assume @p15 (forall @t57 (=> @t93 (and @t85 (tptp.l3_lattices @t84))))) % 17.01/17.21 (assume @p16 true) % 17.01/17.21 (assume @p17 @t96) % 17.01/17.21 (assume @p18 (forall @t39 (=> @t98 @t97))) % 17.01/17.21 (assume @p19 (forall @t39 (=> @t99 @t97))) % 17.01/17.21 (assume @p20 @t101) % 17.01/17.21 (assume @p21 (forall @t57 (=> @t102 @t56))) % 17.01/17.21 (assume @p22 @t107) % 17.01/17.21 (assume @p23 @t111) % 17.01/17.21 (assume @p24 (exists @t39 @t98)) % 17.01/17.21 (assume @p25 (exists @t39 @t97)) % 17.01/17.21 (assume @p26 (exists @t39 @t99)) % 17.01/17.21 (assume @p27 (exists @t39 @t32)) % 17.01/17.21 (assume @p28 (forall @t44 (exists @t16 @t112))) % 17.01/17.21 (assume @p29 (forall @t39 (exists @t30 (tptp.m1_subset_1 @t2 @t4)))) % 17.01/17.21 (assume @p30 (forall @t44 (exists @t16 @t102))) % 17.01/17.21 (assume @p31 (forall @t39 (=> @t113 (not (tptp.v1_xboole_0 @t13))))) % 17.01/17.21 (assume @p32 (forall @t39 (not (tptp.v1_xboole_0 @t114)))) % 17.01/17.21 (assume @p33 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 17.01/17.21 (assume @p34 (forall @t39 (=> (and @t36 @t52 @t99) (and @t116 @t109 @t108 (tptp.v1_binop_1 @t19 @t13) @t115)))) % 17.01/17.21 (assume @p35 (forall @t39 (=> (and @t36 @t51 @t99) (and @t116 @t109 @t108 (tptp.v2_binop_1 @t19 @t13) @t115)))) % 17.01/17.21 (assume @p36 (forall @t57 (=> (and @t117 @t92 @t91 @t90 @t89 @t88 @t87) (and (not (tptp.v3_struct_0 @t84)) @t85)))) % 17.01/17.21 (assume @p37 (forall @t39 (=> (and @t36 @t50 @t98) (and @t119 @t105 @t104 (tptp.v1_binop_1 @t18 @t13) @t118)))) % 17.01/17.21 (assume @p38 (forall @t44 (=> (and @t117 @t121) (not (tptp.v1_xboole_0 @t55))))) % 17.01/17.21 (assume @p39 (forall @t39 (=> (and @t36 @t49 @t98) (and @t119 @t105 @t104 (tptp.v2_binop_1 @t18 @t13) @t118)))) % 17.01/17.21 (assume @p40 @t129) % 17.01/17.21 (assume @p41 (exists @t39 (and @t32 @t36 @t42 @t52 @t51 @t50 @t49 @t48 @t47 @t34 @t67 @t72 @t64 @t63))) % 17.01/17.21 (assume @p42 (exists @t39 (and @t32 @t36 @t42 @t52 @t51 @t50 @t49 @t48 @t47 @t34 @t64 @t63 @t61))) % 17.01/17.21 (assume @p43 (exists @t39 (and @t32 @t36 @t42 @t52 @t51 @t50 @t49 @t48 @t47 @t34 @t64 @t63 @t61 @t66))) % 17.01/17.21 (assume @p44 (exists @t39 (and @t32 @t36 @t42 @t52 @t51 @t50 @t49 @t48 @t47 @t34 @t67 @t64 @t63 @t61 @t66 @t33))) % 17.01/17.21 (assume @p45 (exists @t39 (and @t58 @t45))) % 17.01/17.21 (assume @p46 (forall @t39 (=> @t117 (exists @t30 (and @t130 @t121))))) % 17.01/17.21 (assume @p47 (exists @t39 @t46)) % 17.01/17.21 (assume @p48 (exists @t39 @t60)) % 17.01/17.21 (assume @p49 (forall @t39 (exists @t30 (and @t130 @t120)))) % 17.01/17.21 (assume @p50 (exists @t39 @t117)) % 17.01/17.21 (assume @p51 (exists @t39 @t59)) % 17.01/17.21 (assume @p52 (exists @t39 (and @t32 @t42))) % 17.01/17.21 (assume @p53 (exists @t39 (and @t97 @t36))) % 17.01/17.21 (assume @p54 (forall @t39 (=> @t113 (exists @t30 (and (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t13)) @t121))))) % 17.01/17.21 (assume @p55 (exists @t39 (and @t32 @t36 @t42))) % 17.01/17.21 (assume @p56 (exists @t39 (and @t32 @t36 @t42 @t52 @t51 @t50 @t49 @t48 @t47 @t34))) % 17.01/17.21 (assume @p57 (forall @t57 (= @t102 @t112))) % 17.01/17.21 (assume @p58 (forall @t44 (tptp.r1_tarski @t4 @t4))) % 17.01/17.21 (assume @p59 @t157) % 17.01/17.21 (assume @p60 (forall @t44 (=> @t43 @t158))) % 17.01/17.21 (assume @p61 (forall @t44 (=> @t158 (or @t120 @t43)))) % 17.01/17.21 (assume @p62 (forall @t44 (= (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t2)) (tptp.r1_tarski @t4 @t2)))) % 17.01/17.21 (assume @p63 (forall @t57 (=> (and @t43 @t159) (tptp.m1_subset_1 @t4 @t3)))) % 17.01/17.21 (assume @p64 (forall @t57 (not (and @t43 @t159 (tptp.v1_xboole_0 @t3))))) % 17.01/17.21 (assume @p65 (forall @t39 (=> @t46 (= @t4 tptp.k1_xboole_0)))) % 17.01/17.21 (assume @p66 (forall @t44 (not (and @t43 @t120)))) % 17.01/17.21 (assume @p67 (forall @t44 (not (and @t46 (not (= @t4 @t2)) @t120)))) % 17.01/17.21 (step @p68 :rule aci_norm :args ((= @t176 @t174))) % 17.01/17.21 (step @p69 :rule cong :premises (@p68) :args (@t178)) % 17.01/17.21 (step @p70 :rule quant-merge-prenex :args ((= (forall @t39 @t180) @t178))) % 17.01/17.21 (step @p71 :rule alpha_equiv :args (@t181 (@list @t161 @t160) (@list @t2 @t182))) % 17.01/17.21 (step @p72 :rule refl :args (@t171)) % 17.01/17.21 (step @p73 :rule refl :args (@t172)) % 17.01/17.21 (step @p74 :rule refl :args (@t173)) % 17.01/17.21 (step @p75 :rule refl :args (@t35)) % 17.01/17.21 (step @p76 :rule nary_cong :premises (@p75 @p74 @p73 @p72 @p71) :args (@t183)) % 17.01/17.21 (step @p77 :rule quant-miniscope-or :args ((= @t180 @t183))) % 17.01/17.21 (step @p78 :rule trans :premises (@p77 @p76)) % 17.01/17.21 (step @p79 :rule symm :premises (@p78)) % 17.01/17.21 (step @p80 :rule cong :premises (@p79) :args ((forall @t39 @t194))) % 17.01/17.21 (step @p81 :rule trans :premises (@p80 @p70)) % 17.01/17.21 (step @p82 :rule trans :premises (@p81 @p69)) % 17.01/17.21 (step @p83 :rule aci_norm :args ((= (or (or @t35 @t173 @t172 @t171) @t193) @t194))) % 17.01/17.21 (step @p84 :rule refl :args (@t193)) % 17.01/17.21 (step @p85 :rule bool-double-not-elim :args (@t35)) % 17.01/17.21 (step @p86 :rule nary_cong :premises (@p85 @p74 @p73 @p72) :args (@t196)) % 17.01/17.21 (step @p87 :rule aci_norm :args ((= (or @t195 (or @t173 (or @t172 @t171))) @t196))) % 17.01/17.21 (step @p88 :rule trans :premises (@p87 @p86)) % 17.01/17.21 (step @p89 :rule bool-and-de-morgan :args (@t33 @t32 true)) % 17.01/17.21 (step @p90 :rule nary_cong :premises (@p74 @p89) :args ((or @t173 (not (and @t33 @t32))))) % 17.01/17.21 (step @p91 :rule bool-and-de-morgan :args (@t34 @t33 (and @t32))) % 17.01/17.21 (step @p92 :rule trans :premises (@p91 @p90)) % 17.01/17.21 (step @p93 :rule refl :args (@t195)) % 17.01/17.21 (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or @t195 (not (and @t34 @t33 @t32))))) % 17.01/17.21 (step @p95 :rule bool-and-de-morgan :args (@t36 @t34 (and @t33 @t32))) % 17.01/17.21 (step @p96 :rule trans :premises (@p95 @p94)) % 17.01/17.21 (step @p97 :rule trans :premises (@p96 @p88)) % 17.01/17.21 (step @p98 :rule nary_cong :premises (@p97 @p84) :args ((or (not @t37) @t193))) % 17.01/17.21 (step @p99 :rule trans :premises (@p98 @p83)) % 17.01/17.21 (step @p100 :rule bool-impl-elim :args (@t37 @t193)) % 17.01/17.21 (step @p101 :rule trans :premises (@p100 @p99)) % 17.01/17.21 (step @p102 :rule cong :premises (@p101) :args ((forall @t39 (=> @t37 @t193)))) % 17.01/17.21 (step @p103 :rule trans :premises (@p102 @p82)) % 17.01/17.21 (step @p104 :rule aci_norm :args ((= @t198 @t191))) % 17.01/17.21 (step @p105 :rule cong :premises (@p104) :args (@t199)) % 17.01/17.21 (step @p106 :rule quant-merge-prenex :args ((= (forall @t30 @t201) @t199))) % 17.01/17.21 (step @p107 :rule alpha_equiv :args (@t202 (@list @t182) @t203)) % 17.01/17.21 (step @p108 :rule refl :args (@t187)) % 17.01/17.21 (step @p109 :rule refl :args (@t188)) % 17.01/17.21 (step @p110 :rule refl :args (@t189)) % 17.01/17.21 (step @p111 :rule refl :args (@t190)) % 17.01/17.21 (step @p112 :rule refl :args (@t26)) % 17.01/17.21 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110 @p109 @p108 @p107) :args (@t204)) % 17.01/17.21 (step @p114 :rule quant-miniscope-or :args ((= @t201 @t204))) % 17.01/17.21 (step @p115 :rule trans :premises (@p114 @p113)) % 17.01/17.21 (step @p116 :rule symm :premises (@p115)) % 17.01/17.21 (step @p117 :rule cong :premises (@p116) :args ((forall @t30 @t210))) % 17.01/17.21 (step @p118 :rule trans :premises (@p117 @p106)) % 17.01/17.21 (step @p119 :rule trans :premises (@p118 @p105)) % 17.01/17.21 (step @p120 :rule aci_norm :args ((= (or (or @t26 @t190 @t189 @t188) (or @t187 @t209)) @t210))) % 17.01/17.21 (step @p121 :rule bool-impl-elim :args (@t21 @t209)) % 17.01/17.21 (step @p122 :rule bool-double-not-elim :args (@t26)) % 17.01/17.21 (step @p123 :rule nary_cong :premises (@p122 @p111 @p110 @p109) :args (@t212)) % 17.01/17.21 (step @p124 :rule aci_norm :args ((= (or @t211 (or @t190 (or @t189 @t188))) @t212))) % 17.01/17.21 (step @p125 :rule trans :premises (@p124 @p123)) % 17.01/17.21 (step @p126 :rule bool-and-de-morgan :args (@t24 @t23 true)) % 17.01/17.21 (step @p127 :rule nary_cong :premises (@p111 @p126) :args ((or @t190 (not (and @t24 @t23))))) % 17.01/17.21 (step @p128 :rule bool-and-de-morgan :args (@t25 @t24 (and @t23))) % 17.01/17.21 (step @p129 :rule trans :premises (@p128 @p127)) % 17.01/17.21 (step @p130 :rule refl :args (@t211)) % 17.01/17.21 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or @t211 (not (and @t25 @t24 @t23))))) % 17.01/17.21 (step @p132 :rule bool-and-de-morgan :args (@t27 @t25 (and @t24 @t23))) % 17.01/17.21 (step @p133 :rule trans :premises (@p132 @p131)) % 17.01/17.21 (step @p134 :rule trans :premises (@p133 @p125)) % 17.01/17.21 (step @p135 :rule nary_cong :premises (@p134 @p121) :args ((or (not @t28) @t213))) % 17.01/17.21 (step @p136 :rule trans :premises (@p135 @p120)) % 17.01/17.21 (step @p137 :rule bool-impl-elim :args (@t28 @t213)) % 17.01/17.21 (step @p138 :rule trans :premises (@p137 @p136)) % 17.01/17.21 (step @p139 :rule cong :premises (@p138) :args ((forall @t30 (=> @t28 @t213)))) % 17.01/17.21 (step @p140 :rule trans :premises (@p139 @p119)) % 17.01/17.21 (step @p141 :rule aci_norm :args ((= (or @t207 @t214) @t208))) % 17.01/17.21 (step @p142 :rule bool-impl-elim :args (@t14 @t214)) % 17.01/17.21 (step @p143 :rule trans :premises (@p142 @p141)) % 17.01/17.21 (step @p144 :rule cong :premises (@p143) :args ((forall @t16 (=> @t14 @t214)))) % 17.01/17.21 (step @p145 :rule aci_norm :args ((= (or @t206 false @t205) @t214))) % 17.01/17.21 (step @p146 :rule refl :args (@t205)) % 17.01/17.21 (step @p147 :rule evaluate :args ((not true))) % 17.01/17.21 (step @p148 :rule eq-refl :args (@t3)) % 17.01/17.21 (step @p149 :rule cong :premises (@p148) :args (@t215)) % 17.01/17.21 (step @p150 :rule trans :premises (@p149 @p147)) % 17.01/17.21 (step @p151 :rule refl :args (@t206)) % 17.01/17.21 (step @p152 :rule nary_cong :premises (@p151 @p150 @p146) :args (@t216)) % 17.01/17.21 (step @p153 :rule trans :premises (@p152 @p145)) % 17.01/17.21 (step @p154 :rule quant-var-elim-eq :args ((= (forall @t11 (or (not (= @t1 @t3)) @t218 @t217 @t6)) @t216))) % 17.01/17.21 (step @p155 :rule refl :args (@t6)) % 17.01/17.21 (step @p156 :rule refl :args (@t217)) % 17.01/17.21 (step @p157 :rule refl :args (@t218)) % 17.01/17.21 (step @p158 :rule eq-symm :args (@t3 @t1)) % 17.01/17.21 (step @p159 :rule cong :premises (@p158) :args (@t217)) % 17.01/17.21 (step @p160 :rule nary_cong :premises (@p159 @p157 @p156 @p155) :args (@t219)) % 17.01/17.21 (step @p161 :rule aci_norm :args ((= @t220 @t219))) % 17.01/17.21 (step @p162 :rule trans :premises (@p161 @p160)) % 17.01/17.21 (step @p163 :rule cong :premises (@p162) :args ((forall @t11 @t220))) % 17.01/17.21 (step @p164 :rule trans :premises (@p163 @p154)) % 17.01/17.21 (step @p165 :rule trans :premises (@p164 @p153)) % 17.01/17.21 (step @p166 :rule aci_norm :args ((= (or @t218 (or @t217 @t6)) @t220))) % 17.01/17.21 (step @p167 :rule bool-impl-elim :args (@t7 @t6)) % 17.01/17.21 (step @p168 :rule nary_cong :premises (@p157 @p167) :args ((or @t218 @t8))) % 17.01/17.21 (step @p169 :rule trans :premises (@p168 @p166)) % 17.01/17.21 (step @p170 :rule bool-impl-elim :args (@t10 @t8)) % 17.01/17.21 (step @p171 :rule trans :premises (@p170 @p169)) % 17.01/17.21 (step 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quant-merge-prenex :args ((= (forall @t57 @t336) @t334))) % 17.01/17.21 (step @p353 :rule alpha_equiv :args (@t337 (@list @t323 @t322 @t321) (@list @t1 @t123 @t122))) % 17.01/17.21 (step @p354 :rule refl :args (@t326)) % 17.01/17.21 (step @p355 :rule refl :args (@t327)) % 17.01/17.21 (step @p356 :rule refl :args (@t328)) % 17.01/17.21 (step @p357 :rule refl :args (@t329)) % 17.01/17.21 (step @p358 :rule refl :args (@t330)) % 17.01/17.21 (step @p359 :rule refl :args (@t331)) % 17.01/17.21 (step @p360 :rule nary_cong :premises (@p359 @p358 @p357 @p356 @p355 @p354 @p353) :args (@t338)) % 17.01/17.21 (step @p361 :rule quant-miniscope-or :args ((= @t336 @t338))) % 17.01/17.21 (step @p362 :rule trans :premises (@p361 @p360)) % 17.01/17.21 (step @p363 :rule symm :premises (@p362)) % 17.01/17.21 (step @p364 :rule cong :premises (@p363) :args ((forall @t57 @t340))) % 17.01/17.21 (step @p365 :rule trans :premises (@p364 @p352)) % 17.01/17.21 (step @p366 :rule trans :premises (@p365 @p351)) % 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bool-and-de-morgan :args (@t91 @t90 (and @t89 @t88 @t87))) % 17.01/17.21 (step @p379 :rule trans :premises (@p378 @p377)) % 17.01/17.21 (step @p380 :rule nary_cong :premises (@p359 @p379) :args ((or @t331 (not (and @t91 @t90 @t89 @t88 @t87))))) % 17.01/17.21 (step @p381 :rule bool-and-de-morgan :args (@t92 @t91 (and @t90 @t89 @t88 @t87))) % 17.01/17.21 (step @p382 :rule trans :premises (@p381 @p380)) % 17.01/17.21 (step @p383 :rule trans :premises (@p382 @p369)) % 17.01/17.21 (step @p384 :rule nary_cong :premises (@p383 @p368) :args ((or (not @t93) @t339))) % 17.01/17.21 (step @p385 :rule trans :premises (@p384 @p367)) % 17.01/17.21 (step @p386 :rule bool-impl-elim :args (@t93 @t339)) % 17.01/17.21 (step @p387 :rule trans :premises (@p386 @p385)) % 17.01/17.21 (step @p388 :rule cong :premises (@p387) :args ((forall @t57 (=> @t93 @t339)))) % 17.01/17.21 (step @p389 :rule trans :premises (@p388 @p366)) % 17.01/17.21 (step @p390 :rule bool-impl-elim :args (@t125 @t124)) % 17.01/17.21 (step @p391 :rule cong :premises (@p390) :args (@t127)) % 17.01/17.21 (step @p392 :rule refl :args (@t93)) % 17.01/17.21 (step @p393 :rule cong :premises (@p392 @p391) :args (@t128)) % 17.01/17.21 (step @p394 :rule cong :premises (@p393) :args (@t129)) % 17.01/17.21 (step @p395 :rule trans :premises (@p394 @p389)) % 17.01/17.21 (step @p396 :rule eq_resolve :premises (@p40 @p395)) % 17.01/17.21 (step @p397 :rule instantiate :premises (@p396) :args ((@list @t230 @t236 @t235 @t227 @t234 @t233))) % 17.01/17.21 (step @p398 :rule instantiate :premises (@p57) :args ((@list @t342 @t230 @t235))) % 17.01/17.21 (step @p399 :rule bool-impl-elim :args (@t98 @t106)) % 17.01/17.21 (step @p400 :rule cong :premises (@p399) :args (@t107)) % 17.01/17.21 (step @p401 :rule eq_resolve :premises (@p22 @p400)) % 17.01/17.21 (step @p402 :rule instantiate :premises (@p401) :args (@t343)) % 17.01/17.21 (step @p403 :rule bool-impl-elim :args (@t32 @t100)) % 17.01/17.21 (step @p404 :rule cong :premises (@p403) :args (@t101)) % 17.01/17.21 (step @p405 :rule eq_resolve :premises (@p20 @p404)) % 17.01/17.21 (step @p406 :rule instantiate :premises (@p405) :args (@t343)) % 17.01/17.21 (step @p407 :rule cnf_or_pos :args (@t347)) % 17.01/17.21 (step @p408 :rule reordering :premises (@p407) :args ((or @t247 @t346 (not @t347)))) % 17.01/17.21 (step @p409 :rule chain_m_resolution :premises (@p408 @p343 @p406) :args (@t346 @t348 (@list @t246 @t347))) % 17.01/17.21 (step @p410 :rule cnf_and_pos :args (@t346 0)) % 17.01/17.21 (step @p411 :rule reordering :premises (@p410) :args ((or @t345 @t349))) % 17.01/17.21 (step @p412 :rule chain_m_resolution :premises (@p411 @p409) :args (@t345 @t314 @t350)) % 17.01/17.21 (step @p413 :rule cnf_or_pos :args (@t356)) % 17.01/17.21 (step @p414 :rule reordering :premises (@p413) :args ((or @t355 @t354 (not @t356)))) % 17.01/17.21 (step @p415 :rule chain_m_resolution :premises (@p414 @p412 @p402) :args (@t354 @t348 (@list @t345 @t356))) % 17.01/17.21 (step @p416 :rule cnf_and_pos :args (@t354 2)) % 17.01/17.21 (step @p417 :rule reordering :premises (@p416) :args ((or @t351 @t357))) % 17.01/17.21 (step @p418 :rule chain_m_resolution :premises (@p417 @p415) :args (@t351 @t314 @t358)) % 17.01/17.21 (step @p419 :rule cnf_equiv_pos1 :args (@t360)) % 17.01/17.21 (step @p420 :rule reordering :premises (@p419) :args ((or (not @t351) @t359 (not @t360)))) % 17.01/17.21 (step @p421 :rule chain_m_resolution :premises (@p420 @p418 @p398) :args (@t359 @t348 (@list @t351 @t360))) % 17.01/17.21 (step @p422 :rule instantiate :premises (@p57) :args ((@list @t342 @t230 @t236))) % 17.01/17.21 (step @p423 :rule bool-impl-elim :args (@t99 @t110)) % 17.01/17.21 (step @p424 :rule cong :premises (@p423) :args (@t111)) % 17.01/17.21 (step @p425 :rule eq_resolve :premises (@p23 @p424)) % 17.01/17.21 (step @p426 :rule instantiate :premises (@p425) :args (@t343)) % 17.01/17.21 (step @p427 :rule cnf_and_pos :args (@t346 1)) % 17.01/17.21 (step @p428 :rule reordering :premises (@p427) :args ((or @t344 @t349))) % 17.01/17.21 (step @p429 :rule chain_m_resolution :premises (@p428 @p409) :args (@t344 @t314 @t350)) % 17.01/17.21 (step @p430 :rule cnf_or_pos :args (@t366)) % 17.01/17.21 (step @p431 :rule reordering :premises (@p430) :args ((or @t365 @t364 (not @t366)))) % 17.01/17.21 (step @p432 :rule chain_m_resolution :premises (@p431 @p429 @p426) :args (@t364 @t348 (@list @t344 @t366))) % 17.01/17.21 (step @p433 :rule cnf_and_pos :args (@t364 2)) % 17.01/17.21 (step @p434 :rule reordering :premises (@p433) :args ((or @t361 @t367))) % 17.01/17.21 (step @p435 :rule chain_m_resolution :premises (@p434 @p432) :args (@t361 @t314 @t368)) % 17.01/17.21 (step @p436 :rule cnf_equiv_pos1 :args (@t370)) % 17.01/17.21 (step @p437 :rule reordering :premises (@p436) :args ((or (not @t361) @t369 (not @t370)))) % 17.01/17.21 (step @p438 :rule chain_m_resolution :premises (@p437 @p435 @p422) :args (@t369 @t348 (@list @t361 @t370))) % 17.01/17.21 (step @p439 :rule cnf_and_pos :args (@t364 1)) % 17.01/17.21 (step @p440 :rule reordering :premises (@p439) :args ((or @t362 @t367))) % 17.01/17.21 (step @p441 :rule chain_m_resolution :premises (@p440 @p432) :args (@t362 @t314 @t368)) % 17.01/17.21 (step @p442 :rule cnf_and_pos :args (@t364 0)) % 17.01/17.21 (step @p443 :rule reordering :premises (@p442) :args ((or @t363 @t367))) % 17.01/17.21 (step @p444 :rule chain_m_resolution :premises (@p443 @p432) :args (@t363 @t314 @t368)) % 17.01/17.21 (step @p445 :rule cnf_and_pos :args (@t354 1)) % 17.01/17.21 (step @p446 :rule reordering :premises (@p445) :args ((or @t352 @t357))) % 17.01/17.21 (step @p447 :rule chain_m_resolution :premises (@p446 @p415) :args (@t352 @t314 @t358)) % 17.01/17.21 (step @p448 :rule cnf_and_pos :args (@t354 0)) % 17.01/17.21 (step @p449 :rule reordering :premises (@p448) :args ((or @t353 @t357))) % 17.01/17.21 (step @p450 :rule chain_m_resolution :premises (@p449 @p415) :args (@t353 @t314 @t358)) % 17.01/17.21 (step @p451 :rule bool-double-not-elim :args (@t237)) % 17.01/17.21 (step @p452 :rule nary_cong :premises (@p332 @p451) :args ((or @t253 (not @t238)))) % 17.01/17.21 (step @p453 :rule cnf_or_neg :args (@t253 8)) % 17.01/17.21 (step @p454 :rule eq_resolve :premises (@p453 @p452)) % 17.01/17.21 (step @p455 :rule reordering :premises (@p454) :args ((or @t237 @t253))) % 17.01/17.21 (step @p456 :rule chain_m_resolution :premises (@p455 @p190) :args (@t237 @t254 @t255)) % 17.01/17.21 (step @p457 :rule cnf_or_pos :args (@t379)) % 17.01/17.21 (step @p458 :rule reordering :premises (@p457) :args ((or @t238 @t375 @t374 @t378 @t377 @t376 @t373 @t372 (not @t379)))) % 17.01/17.21 (step @p459 :rule chain_m_resolution :premises (@p458 @p456 @p450 @p447 @p444 @p441 @p438 @p421 @p397) :args (@t372 (@list false false false false false false false false) (@list @t237 @t353 @t352 @t363 @t362 @t369 @t359 @t379))) % 17.01/17.21 (step @p460 :rule cnf_and_pos :args (@t372 0)) % 17.01/17.21 (step @p461 :rule reordering :premises (@p460) :args ((or @t371 (not @t372)))) % 17.01/17.21 (step @p462 :rule chain_m_resolution :premises (@p461 @p459) :args (@t371 @t314 (@list @t372))) % 17.01/17.21 (step @p463 :rule symm :premises (@p462)) % 17.01/17.21 (step @p464 :rule refl :args (@t225)) % 17.01/17.21 (step @p465 :rule cong :premises (@p464 @p463) :args (@t304)) % 17.01/17.21 (step @p466 :rule trans :premises (@p465 @p349)) % 17.01/17.21 (step @p467 :rule true_elim :premises (@p466)) % 17.01/17.21 (step @p468 :rule aci_norm :args ((= (or @t171 @t380) (or @t171 @t35 @t172 @t68)))) % 17.01/17.21 (step @p469 :rule aci_norm :args ((= (or (or @t35 @t172) @t68) @t380))) % 17.01/17.21 (step @p470 :rule refl :args (@t68)) % 17.01/17.21 (step @p471 :rule nary_cong :premises (@p85 @p73) :args ((or @t195 @t172))) % 17.01/17.21 (step @p472 :rule bool-and-de-morgan :args (@t36 @t33 true)) % 17.01/17.21 (step @p473 :rule trans :premises (@p472 @p471)) % 17.01/17.21 (step @p474 :rule nary_cong :premises (@p473 @p470) :args ((or (not @t69) @t68))) % 17.01/17.21 (step @p475 :rule trans :premises (@p474 @p469)) % 17.01/17.21 (step @p476 :rule bool-impl-elim :args (@t69 @t68)) % 17.01/17.21 (step @p477 :rule trans :premises (@p476 @p475)) % 17.01/17.21 (step @p478 :rule nary_cong :premises (@p72 @p477) :args ((or @t171 @t70))) % 17.01/17.21 (step @p479 :rule trans :premises (@p478 @p468)) % 17.01/17.21 (step @p480 :rule bool-impl-elim :args (@t32 @t70)) % 17.01/17.21 (step @p481 :rule trans :premises (@p480 @p479)) % 17.01/17.21 (step @p482 :rule cong :premises (@p481) :args (@t71)) % 17.01/17.21 (step @p483 :rule eq_resolve :premises (@p11 @p482)) % 17.01/17.21 (step @p484 :rule instantiate :premises (@p483) :args ((@list @t223))) % 17.01/17.21 (step @p485 :rule bool-double-not-elim :args (@t239)) % 17.01/17.21 (step @p486 :rule nary_cong :premises (@p332 @p485) :args ((or @t253 (not @t240)))) % 17.01/17.21 (step @p487 :rule cnf_or_neg :args (@t253 7)) % 17.01/17.21 (step @p488 :rule eq_resolve :premises (@p487 @p486)) % 17.01/17.21 (step @p489 :rule reordering :premises (@p488) :args ((or @t239 @t253))) % 17.01/17.21 (step @p490 :rule chain_m_resolution :premises (@p489 @p190) :args (@t239 @t254 @t255)) % 17.01/17.21 (step @p491 :rule bool-double-not-elim :args (@t241)) % 17.01/17.21 (step @p492 :rule nary_cong :premises (@p332 @p491) :args ((or @t253 (not @t242)))) % 17.01/17.21 (step @p493 :rule cnf_or_neg :args (@t253 6)) % 17.01/17.21 (step @p494 :rule eq_resolve :premises (@p493 @p492)) % 17.01/17.21 (step @p495 :rule reordering :premises (@p494) :args ((or @t241 @t253))) % 17.01/17.21 (step @p496 :rule chain_m_resolution :premises (@p495 @p190) :args (@t241 @t254 @t255)) % 17.01/17.21 (step @p497 :rule cnf_or_neg :args (@t253 4)) % 17.01/17.21 (step @p498 :rule chain_m_resolution :premises (@p497 @p190) :args (@t381 @t254 @t255)) % 17.01/17.21 (step @p499 :rule cnf_or_pos :args (@t384)) % 17.01/17.21 (step @p500 :rule reordering :premises (@p499) :args ((or @t245 @t242 @t240 @t383 (not @t384)))) % 17.01/17.21 (step @p501 :rule chain_m_resolution :premises (@p500 @p498 @p496 @p490 @p484) :args (@t383 @t320 (@list @t245 @t241 @t239 @t384))) % 17.01/17.21 (step @p502 :rule cnf_and_pos :args (@t383 5)) % 17.01/17.21 (step @p503 :rule reordering :premises (@p502) :args ((or @t306 @t385))) % 17.01/17.21 (step @p504 :rule chain_m_resolution :premises (@p503 @p501) :args (@t306 @t314 @t386)) % 17.01/17.21 (step @p505 :rule cnf_and_pos :args (@t383 1)) % 17.01/17.21 (step @p506 :rule reordering :premises (@p505) :args ((or @t308 @t385))) % 17.01/17.21 (step @p507 :rule chain_m_resolution :premises (@p506 @p501) :args (@t308 @t314 @t386)) % 17.01/17.21 (step @p508 :rule bool-double-not-elim :args (@t228)) % 17.01/17.21 (step @p509 :rule nary_cong :premises (@p332 @p508) :args ((or @t253 (not @t229)))) % 17.01/17.21 (step @p510 :rule cnf_or_neg :args (@t253 10)) % 17.01/17.21 (step @p511 :rule eq_resolve :premises (@p510 @p509)) % 17.01/17.21 (step @p512 :rule reordering :premises (@p511) :args ((or @t228 @t253))) % 17.01/17.21 (step @p513 :rule chain_m_resolution :premises (@p512 @p190) :args (@t228 @t254 @t255)) % 17.01/17.21 (step @p514 :rule bool-double-not-elim :args (@t243)) % 17.01/17.21 (step @p515 :rule nary_cong :premises (@p332 @p514) :args ((or @t253 (not @t244)))) % 17.01/17.21 (step @p516 :rule cnf_or_neg :args (@t253 5)) % 17.01/17.21 (step @p517 :rule eq_resolve :premises (@p516 @p515)) % 17.01/17.21 (step @p518 :rule reordering :premises (@p517) :args ((or @t243 @t253))) % 17.01/17.21 (step @p519 :rule chain_m_resolution :premises (@p518 @p190) :args (@t243 @t254 @t255)) % 17.01/17.21 (step @p520 :rule cnf_or_pos :args (@t313)) % 17.01/17.21 (step @p521 :rule reordering :premises (@p520) :args ((or @t245 @t244 @t240 @t229 @t309 @t307 @t305 @t312 (not @t313)))) % 17.01/17.21 (step @p522 :rule chain_m_resolution :premises (@p521 @p498 @p519 @p490 @p513 @p507 @p504 @p467 @p313) :args (@t312 @t387 (@list @t245 @t243 @t239 @t228 @t308 @t306 @t304 @t313))) % 17.01/17.21 (step @p523 :rule aci_norm :args ((= @t406 (or @t35 @t173 @t404 @t263 @t171 @t403 @t402 @t401 @t400 @t399 @t398 @t397 @t396 @t395 @t394 @t393 @t391)))) % 17.01/17.21 (step @p524 :rule cong :premises (@p523) :args (@t407)) % 17.01/17.21 (step @p525 :rule quant-merge-prenex :args ((= (forall @t39 @t409) @t407))) % 17.01/17.21 (step @p526 :rule alpha_equiv :args (@t410 (@list @t390 @t389 @t388) (@list @t2 @t412 @t411))) % 17.01/17.21 (step @p527 :rule refl :args (@t404)) % 17.01/17.21 (step @p528 :rule nary_cong :premises (@p75 @p74 @p527 @p209 @p72 @p526) :args (@t413)) % 17.01/17.21 (step @p529 :rule quant-miniscope-or :args ((= @t409 @t413))) % 17.01/17.21 (step @p530 :rule trans :premises (@p529 @p528)) % 17.01/17.21 (step @p531 :rule symm :premises (@p530)) % 17.01/17.21 (step @p532 :rule cong :premises (@p531) :args ((forall @t39 @t425))) % 17.01/17.21 (step @p533 :rule trans :premises (@p532 @p525)) % 17.01/17.21 (step @p534 :rule trans :premises (@p533 @p524)) % 17.01/17.21 (step @p535 :rule aci_norm :args ((= (or (or @t35 @t173 @t404 @t263 @t171) @t424) @t425))) % 17.01/17.21 (step @p536 :rule refl :args (@t424)) % 17.01/17.21 (step @p537 :rule nary_cong :premises (@p85 @p74 @p527 @p209 @p72) :args (@t426)) % 17.01/17.21 (step @p538 :rule aci_norm :args ((= (or @t195 (or @t173 (or @t404 @t300))) @t426))) % 17.01/17.21 (step @p539 :rule trans :premises (@p538 @p537)) % 17.01/17.21 (step @p540 :rule nary_cong :premises (@p527 @p262) :args ((or @t404 @t301))) % 17.01/17.21 (step @p541 :rule bool-and-de-morgan :args (@t61 @t66 (and @t32))) % 17.01/17.21 (step @p542 :rule trans :premises (@p541 @p540)) % 17.01/17.21 (step @p543 :rule nary_cong :premises (@p74 @p542) :args ((or @t173 (not (and @t61 @t66 @t32))))) % 17.01/17.21 (step @p544 :rule bool-and-de-morgan :args (@t34 @t61 (and @t66 @t32))) % 17.01/17.21 (step @p545 :rule trans :premises (@p544 @p543)) % 17.01/17.21 (step @p546 :rule nary_cong :premises (@p93 @p545) :args ((or @t195 (not (and @t34 @t61 @t66 @t32))))) % 17.01/17.21 (step @p547 :rule bool-and-de-morgan :args (@t36 @t34 (and @t61 @t66 @t32))) % 17.01/17.21 (step @p548 :rule trans :premises (@p547 @p546)) % 17.01/17.21 (step @p549 :rule trans :premises (@p548 @p539)) % 17.01/17.21 (step @p550 :rule nary_cong :premises (@p549 @p536) :args ((or (not @t155) @t424))) % 17.01/17.21 (step @p551 :rule trans :premises (@p550 @p535)) % 17.01/17.21 (step @p552 :rule bool-impl-elim :args (@t155 @t424)) % 17.01/17.21 (step @p553 :rule trans :premises (@p552 @p551)) % 17.01/17.21 (step @p554 :rule cong :premises (@p553) :args ((forall @t39 (=> @t155 @t424)))) % 17.01/17.21 (step @p555 :rule trans :premises (@p554 @p534)) % 17.01/17.21 (step @p556 :rule aci_norm :args ((= @t428 @t422))) % 17.01/17.21 (step @p557 :rule cong :premises (@p556) :args (@t429)) % 17.01/17.21 (step @p558 :rule quant-merge-prenex :args ((= (forall @t30 @t431) @t429))) % 17.01/17.21 (step @p559 :rule alpha_equiv :args (@t432 (@list @t412 @t411) (@list @t3 @t433))) % 17.01/17.21 (step @p560 :rule refl :args (@t420)) % 17.01/17.21 (step @p561 :rule refl :args (@t421)) % 17.01/17.21 (step @p562 :rule nary_cong :premises (@p112 @p111 @p561 @p560 @p109 @p108 @p559) :args (@t434)) % 17.01/17.21 (step @p563 :rule quant-miniscope-or :args ((= @t431 @t434))) % 17.01/17.21 (step @p564 :rule trans :premises (@p563 @p562)) % 17.01/17.21 (step @p565 :rule symm :premises (@p564)) % 17.01/17.21 (step @p566 :rule cong :premises (@p565) :args ((forall @t30 @t442))) % 17.01/17.21 (step @p567 :rule trans :premises (@p566 @p558)) % 17.01/17.21 (step @p568 :rule trans :premises (@p567 @p557)) % 17.01/17.21 (step @p569 :rule aci_norm :args ((= (or (or @t26 @t190 @t421 @t420 @t188) (or @t187 @t441)) @t442))) % 17.01/17.21 (step @p570 :rule bool-impl-elim :args (@t21 @t441)) % 17.01/17.21 (step @p571 :rule nary_cong :premises (@p122 @p111 @p561 @p560 @p109) :args (@t443)) % 17.01/17.21 (step @p572 :rule aci_norm :args ((= (or @t211 (or @t190 (or @t421 (or @t420 @t188)))) @t443))) % 17.01/17.21 (step @p573 :rule trans :premises (@p572 @p571)) % 17.01/17.21 (step @p574 :rule bool-and-de-morgan :args (@t150 @t23 true)) % 17.01/17.21 (step @p575 :rule nary_cong :premises (@p561 @p574) :args ((or @t421 (not (and @t150 @t23))))) % 17.01/17.21 (step @p576 :rule bool-and-de-morgan :args (@t151 @t150 (and @t23))) % 17.01/17.21 (step @p577 :rule trans :premises (@p576 @p575)) % 17.01/17.21 (step @p578 :rule nary_cong :premises (@p111 @p577) :args ((or @t190 (not (and @t151 @t150 @t23))))) % 17.01/17.21 (step @p579 :rule bool-and-de-morgan :args (@t25 @t151 (and @t150 @t23))) % 17.01/17.21 (step @p580 :rule trans :premises (@p579 @p578)) % 17.01/17.21 (step @p581 :rule nary_cong :premises (@p130 @p580) :args ((or @t211 (not (and @t25 @t151 @t150 @t23))))) % 17.01/17.21 (step @p582 :rule bool-and-de-morgan :args (@t27 @t25 (and @t151 @t150 @t23))) % 17.01/17.21 (step @p583 :rule trans :premises (@p582 @p581)) % 17.01/17.21 (step @p584 :rule trans :premises (@p583 @p573)) % 17.01/17.21 (step @p585 :rule nary_cong :premises (@p584 @p570) :args ((or (not @t152) @t444))) % 17.01/17.21 (step @p586 :rule trans :premises (@p585 @p569)) % 17.01/17.21 (step @p587 :rule bool-impl-elim :args (@t152 @t444)) % 17.01/17.21 (step @p588 :rule trans :premises (@p587 @p586)) % 17.01/17.21 (step @p589 :rule cong :premises (@p588) :args ((forall @t30 (=> @t152 @t444)))) % 17.01/17.21 (step @p590 :rule trans :premises (@p589 @p568)) % 17.01/17.21 (step @p591 :rule aci_norm :args ((= @t446 @t439))) % 17.01/17.21 (step @p592 :rule cong :premises (@p591) :args (@t447)) % 17.01/17.21 (step @p593 :rule quant-merge-prenex :args ((= (forall @t16 @t449) @t447))) % 17.01/17.21 (step @p594 :rule alpha_equiv :args (@t450 (@list @t433) (@list @t1))) % 17.01/17.21 (step @p595 :rule refl :args (@t206)) % 17.01/17.21 (step @p596 :rule refl :args (@t207)) % 17.01/17.21 (step @p597 :rule nary_cong :premises (@p596 @p595 @p594) :args (@t451)) % 17.01/17.21 (step @p598 :rule quant-miniscope-or :args ((= @t449 @t451))) % 17.01/17.21 (step @p599 :rule trans :premises (@p598 @p597)) % 17.01/17.21 (step @p600 :rule symm :premises (@p599)) % 17.01/17.21 (step @p601 :rule cong :premises (@p600) :args ((forall @t16 @t457))) % 17.01/17.21 (step @p602 :rule trans :premises (@p601 @p593)) % 17.01/17.21 (step @p603 :rule trans :premises (@p602 @p592)) % 17.01/17.21 (step @p604 :rule aci_norm :args ((= (or @t207 @t458) @t457))) % 17.01/17.21 (step @p605 :rule bool-impl-elim :args (@t14 @t458)) % 17.01/17.21 (step @p606 :rule trans :premises (@p605 @p604)) % 17.01/17.21 (step @p607 :rule cong :premises (@p606) :args ((forall @t16 (=> @t14 @t458)))) % 17.01/17.21 (step @p608 :rule trans :premises (@p607 @p603)) % 17.01/17.21 (step @p609 :rule quant-miniscope-or :args ((= (forall @t11 @t459) @t458))) % 17.01/17.21 (step @p610 :rule aci_norm :args ((= @t460 @t459))) % 17.01/17.21 (step @p611 :rule cong :premises (@p610) :args ((forall @t11 @t460))) % 17.01/17.21 (step @p612 :rule trans :premises (@p611 @p609)) % 17.01/17.21 (step @p613 :rule aci_norm :args ((= (or @t454 @t461) @t460))) % 17.01/17.21 (step @p614 :rule bool-impl-elim :args (@t144 @t461)) % 17.01/17.21 (step @p615 :rule trans :premises (@p614 @p613)) % 17.01/17.21 (step @p616 :rule cong :premises (@p615) :args ((forall @t11 (=> @t144 @t461)))) % 17.01/17.21 (step @p617 :rule trans :premises (@p616 @p612)) % 17.01/17.21 (step @p618 :rule aci_norm :args ((= (or @t453 @t218 @t462) @t461))) % 17.01/17.21 (step @p619 :rule aci_norm :args ((= (or @t206 false @t452) @t462))) % 17.01/17.21 (step @p620 :rule refl :args (@t452)) % 17.01/17.21 (step @p621 :rule nary_cong :premises (@p151 @p150 @p620) :args (@t463)) % 17.01/17.21 (step @p622 :rule trans :premises (@p621 @p619)) % 17.01/17.21 (step @p623 :rule quant-var-elim-eq :args ((= (forall @t142 (or (not (= @t123 @t3)) @t466 @t465 @t464)) @t463))) % 17.01/17.21 (step @p624 :rule refl :args (@t464)) % 17.01/17.21 (step @p625 :rule refl :args (@t465)) % 17.01/17.21 (step @p626 :rule refl :args (@t466)) % 17.01/17.21 (step @p627 :rule eq-symm :args (@t3 @t123)) % 17.01/17.21 (step @p628 :rule cong :premises (@p627) :args (@t465)) % 17.01/17.21 (step @p629 :rule nary_cong :premises (@p628 @p626 @p625 @p624) :args (@t467)) % 17.01/17.21 (step @p630 :rule aci_norm :args ((= @t468 @t467))) % 17.01/17.21 (step @p631 :rule trans :premises (@p630 @p629)) % 17.01/17.21 (step @p632 :rule cong :premises (@p631) :args (@t469)) % 17.01/17.21 (step @p633 :rule trans :premises (@p632 @p623)) % 17.01/17.21 (step @p634 :rule trans :premises (@p633 @p622)) % 17.01/17.21 (step @p635 :rule refl :args (@t218)) % 17.01/17.21 (step @p636 :rule refl :args (@t453)) % 17.01/17.21 (step @p637 :rule nary_cong :premises (@p636 @p635 @p634) :args (@t470)) % 17.01/17.21 (step @p638 :rule trans :premises (@p637 @p618)) % 17.01/17.21 (step @p639 :rule quant-miniscope-or :args ((= (forall @t142 @t471) @t470))) % 17.01/17.21 (step @p640 :rule aci_norm :args ((= @t472 @t471))) % 17.01/17.21 (step @p641 :rule cong :premises (@p640) :args ((forall @t142 @t472))) % 17.01/17.21 (step @p642 :rule trans :premises (@p641 @p639)) % 17.01/17.21 (step @p643 :rule trans :premises (@p642 @p638)) % 17.01/17.21 (step @p644 :rule aci_norm :args ((= (or @t466 @t473) @t472))) % 17.01/17.21 (step @p645 :rule bool-impl-elim :args (@t140 @t473)) % 17.01/17.21 (step @p646 :rule trans :premises (@p645 @p644)) % 17.01/17.21 (step @p647 :rule cong :premises (@p646) :args ((forall @t142 (=> @t140 @t473)))) % 17.01/17.21 (step @p648 :rule trans :premises (@p647 @p643)) % 17.01/17.21 (step @p649 :rule aci_norm :args ((= (or @t465 @t453 @t474) @t473))) % 17.01/17.21 (step @p650 :rule aci_norm :args ((= (or @t218 false @t464) @t474))) % 17.01/17.21 (step @p651 :rule refl :args (@t464)) % 17.01/17.21 (step @p652 :rule eq-refl :args (@t1)) % 17.01/17.21 (step @p653 :rule cong :premises (@p652) :args (@t475)) % 17.01/17.21 (step @p654 :rule trans :premises (@p653 @p147)) % 17.01/17.21 (step @p655 :rule nary_cong :premises (@p635 @p654 @p651) :args (@t476)) % 17.01/17.21 (step @p656 :rule trans :premises (@p655 @p650)) % 17.01/17.21 (step @p657 :rule quant-var-elim-eq :args ((= (forall @t138 (or (not (= @t122 @t1)) @t478 @t477 @t131)) @t476))) % 17.01/17.21 (step @p658 :rule refl :args (@t131)) % 17.01/17.21 (step @p659 :rule refl :args (@t477)) % 17.01/17.21 (step @p660 :rule refl :args (@t478)) % 17.01/17.21 (step @p661 :rule eq-symm :args (@t1 @t122)) % 17.01/17.21 (step @p662 :rule cong :premises (@p661) :args (@t477)) % 17.01/17.21 (step @p663 :rule nary_cong :premises (@p662 @p660 @p659 @p658) :args (@t479)) % 17.01/17.21 (step @p664 :rule aci_norm :args ((= @t480 @t479))) % 17.01/17.21 (step @p665 :rule trans :premises (@p664 @p663)) % 17.01/17.21 (step @p666 :rule cong :premises (@p665) :args (@t481)) % 17.01/17.21 (step @p667 :rule trans :premises (@p666 @p657)) % 17.01/17.21 (step @p668 :rule trans :premises (@p667 @p656)) % 17.01/17.21 (step @p669 :rule refl :args (@t465)) % 17.01/17.21 (step @p670 :rule nary_cong :premises (@p669 @p636 @p668) :args (@t482)) % 17.01/17.21 (step @p671 :rule trans :premises (@p670 @p649)) % 17.01/17.21 (step @p672 :rule quant-miniscope-or :args ((= (forall @t138 @t483) @t482))) % 17.01/17.21 (step @p673 :rule aci_norm :args ((= @t484 @t483))) % 17.01/17.21 (step @p674 :rule cong :premises (@p673) :args ((forall @t138 @t484))) % 17.01/17.21 (step @p675 :rule trans :premises (@p674 @p672)) % 17.01/17.21 (step @p676 :rule trans :premises (@p675 @p671)) % 17.01/17.21 (step @p677 :rule aci_norm :args ((= (or @t478 @t485) @t484))) % 17.01/17.21 (step @p678 :rule aci_norm :args ((= (or @t486 @t131) @t485))) % 17.01/17.21 (step @p679 :rule aci_norm :args ((= (or @t465 (or @t477 @t453)) @t486))) % 17.01/17.21 (step @p680 :rule bool-and-de-morgan :args (@t133 @t132 true)) % 17.01/17.21 (step @p681 :rule nary_cong :premises (@p625 @p680) :args ((or @t465 (not (and @t133 @t132))))) % 17.01/17.21 (step @p682 :rule bool-and-de-morgan :args (@t134 @t133 (and @t132))) % 17.01/17.21 (step @p683 :rule trans :premises (@p682 @p681)) % 17.01/17.21 (step @p684 :rule trans :premises (@p683 @p679)) % 17.01/17.21 (step @p685 :rule nary_cong :premises (@p684 @p658) :args ((or (not @t135) @t131))) % 17.01/17.21 (step @p686 :rule trans :premises (@p685 @p678)) % 17.01/17.21 (step @p687 :rule bool-impl-elim :args (@t135 @t131)) % 17.01/17.21 (step @p688 :rule trans :premises (@p687 @p686)) % 17.01/17.21 (step @p689 :rule nary_cong :premises (@p660 @p688) :args ((or @t478 @t136))) % 17.01/17.21 (step @p690 :rule trans :premises (@p689 @p677)) % 17.01/17.21 (step @p691 :rule bool-impl-elim :args (@t137 @t136)) % 17.01/17.21 (step @p692 :rule trans :premises (@p691 @p690)) % 17.01/17.21 (step @p693 :rule cong :premises (@p692) :args (@t139)) % 17.01/17.21 (step @p694 :rule trans :premises (@p693 @p676)) % 17.01/17.21 (step @p695 :rule refl :args (@t140)) % 17.01/17.21 (step @p696 :rule cong :premises (@p695 @p694) :args (@t141)) % 17.01/17.21 (step @p697 :rule cong :premises (@p696) :args (@t143)) % 17.01/17.21 (step @p698 :rule trans :premises (@p697 @p648)) % 17.01/17.21 (step @p699 :rule refl :args (@t144)) % 17.01/17.21 (step @p700 :rule cong :premises (@p699 @p698) :args (@t145)) % 17.01/17.21 (step @p701 :rule cong :premises (@p700) :args (@t146)) % 17.01/17.21 (step @p702 :rule trans :premises (@p701 @p617)) % 17.01/17.21 (step @p703 :rule cong :premises (@p174 @p702) :args (@t147)) % 17.01/17.21 (step @p704 :rule cong :premises (@p703) :args (@t148)) % 17.01/17.21 (step @p705 :rule trans :premises (@p704 @p608)) % 17.01/17.21 (step @p706 :rule cong :premises (@p178 @p705) :args (@t149)) % 17.01/17.21 (step @p707 :rule refl :args (@t152)) % 17.01/17.21 (step @p708 :rule cong :premises (@p707 @p706) :args (@t153)) % 17.01/17.21 (step @p709 :rule cong :premises (@p708) :args (@t154)) % 17.01/17.21 (step @p710 :rule trans :premises (@p709 @p590)) % 17.01/17.21 (step @p711 :rule refl :args (@t155)) % 17.01/17.21 (step @p712 :rule cong :premises (@p711 @p710) :args (@t156)) % 17.01/17.21 (step @p713 :rule cong :premises (@p712) :args (@t157)) % 17.01/17.21 (step @p714 :rule trans :premises (@p713 @p555)) % 17.01/17.21 (step @p715 :rule eq_resolve :premises (@p59 @p714)) % 17.01/17.21 (step @p716 :rule instantiate :premises (@p715) :args ((@list @t224 @t223 @t225 @t222))) % 17.01/17.21 (step @p717 :rule bool-eq-true :args (@t487)) % 17.01/17.21 (step @p718 :rule eq-refl :args (@t225)) % 17.01/17.21 (step @p719 :rule refl :args (@t487)) % 17.01/17.21 (step @p720 :rule cong :premises (@p719 @p718) :args (@t488)) % 17.01/17.21 (step @p721 :rule trans :premises (@p720 @p717)) % 17.01/17.21 (step @p722 :rule refl :args (@t489)) % 17.01/17.21 (step @p723 :rule refl :args (@t232)) % 17.01/17.21 (step @p724 :rule refl :args (@t491)) % 17.01/17.21 (step @p725 :rule refl :args (@t493)) % 17.01/17.21 (step @p726 :rule refl :args (@t251)) % 17.01/17.21 (step @p727 :rule refl :args (@t247)) % 17.01/17.21 (step @p728 :rule refl :args (@t252)) % 17.01/17.21 (step @p729 :rule nary_cong :premises (@p728 @p727 @p726 @p725 @p724 @p723 @p722 @p721) :args (@t494)) % 17.01/17.21 (step @p730 :rule cong :premises (@p305 @p729) :args ((=> @t311 @t494))) % 17.01/17.21 (assume-push @p777 @t311) % 17.01/17.21 (step @p732 :rule instantiate :premises (@p295) :args ((@list @t224 @t222 @t225))) % 17.01/17.21 (step-pop @p778 :rule scope :premises (@p732)) % 17.01/17.21 (step @p733 :rule process_scope :premises (@p778) :args (@t494)) % 17.01/17.21 (step @p735 :rule eq_resolve :premises (@p733 @p730)) % 17.01/17.21 (step @p736 :rule implies_elim :premises (@p735)) % 17.01/17.21 (step @p737 :rule chain_m_resolution :premises (@p736 @p295) :args (@t495 @t314 @t315)) % 17.01/17.21 (step @p738 :rule instantiate :premises (@p483) :args (@t343)) % 17.01/17.21 (step @p739 :rule bool-double-not-elim :args (@t248)) % 17.01/17.21 (step @p740 :rule nary_cong :premises (@p332 @p739) :args ((or @t253 (not @t249)))) % 17.01/17.21 (step @p741 :rule cnf_or_neg :args (@t253 2)) % 17.01/17.21 (step @p742 :rule eq_resolve :premises (@p741 @p740)) % 17.01/17.21 (step @p743 :rule reordering :premises (@p742) :args ((or @t248 @t253))) % 17.01/17.21 (step @p744 :rule chain_m_resolution :premises (@p743 @p190) :args (@t248 @t254 @t255)) % 17.01/17.21 (step @p745 :rule cnf_or_pos :args (@t498)) % 17.01/17.21 (step @p746 :rule reordering :premises (@p745) :args ((or @t252 @t249 @t247 @t497 (not @t498)))) % 17.01/17.21 (step @p747 :rule chain_m_resolution :premises (@p746 @p345 @p744 @p343 @p738) :args (@t497 @t320 (@list @t252 @t248 @t246 @t498))) % 17.01/17.21 (step @p748 :rule cnf_and_pos :args (@t497 5)) % 17.01/17.21 (step @p749 :rule reordering :premises (@p748) :args ((or @t490 @t499))) % 17.01/17.21 (step @p750 :rule chain_m_resolution :premises (@p749 @p747) :args (@t490 @t314 @t500)) % 17.01/17.21 (step @p751 :rule cnf_and_pos :args (@t497 1)) % 17.01/17.21 (step @p752 :rule reordering :premises (@p751) :args ((or @t492 @t499))) % 17.01/17.21 (step @p753 :rule chain_m_resolution :premises (@p752 @p747) :args (@t492 @t314 @t500)) % 17.01/17.21 (step @p754 :rule bool-double-not-elim :args (@t250)) % 17.01/17.21 (step @p755 :rule nary_cong :premises (@p332 @p754) :args ((or @t253 (not @t251)))) % 17.01/17.21 (step @p756 :rule cnf_or_neg :args (@t253 1)) % 17.01/17.21 (step @p757 :rule eq_resolve :premises (@p756 @p755)) % 17.01/17.21 (step @p758 :rule reordering :premises (@p757) :args ((or @t250 @t253))) % 17.01/17.21 (step @p759 :rule chain_m_resolution :premises (@p758 @p190) :args (@t250 @t254 @t255)) % 17.01/17.21 (step @p760 :rule cnf_or_pos :args (@t495)) % 17.01/17.21 (step @p761 :rule reordering :premises (@p760) :args ((or @t252 @t251 @t247 @t232 @t493 @t491 @t489 @t487 (not @t495)))) % 17.01/17.21 (step @p762 :rule chain_m_resolution :premises (@p761 @p345 @p759 @p343 @p337 @p753 @p750 @p348 @p737) :args (@t487 @t387 (@list @t252 @t250 @t246 @t231 @t492 @t490 @t318 @t495))) % 17.01/17.21 (step @p763 :rule cnf_and_pos :args (@t383 4)) % 17.01/17.21 (step @p764 :rule reordering :premises (@p763) :args ((or @t382 @t385))) % 17.01/17.21 (step @p765 :rule chain_m_resolution :premises (@p764 @p501) :args (@t382 @t314 @t386)) % 17.01/17.21 (step @p766 :rule cnf_and_pos :args (@t497 4)) % 17.01/17.21 (step @p767 :rule reordering :premises (@p766) :args ((or @t496 @t499))) % 17.01/17.21 (step @p768 :rule chain_m_resolution :premises (@p767 @p747) :args (@t496 @t314 @t500)) % 17.01/17.21 (step @p769 :rule cnf_or_pos :args (@t504)) % 17.01/17.21 (step @p770 :rule reordering :premises (@p769) :args ((or @t252 @t251 @t247 @t245 @t244 @t240 @t238 @t232 @t229 @t503 @t491 @t502 @t307 @t489 @t501 @t305 @t303 (not @t504)))) % 17.01/17.21 (step @p771 :rule chain_m_resolution :premises (@p770 @p345 @p759 @p343 @p498 @p519 @p490 @p456 @p337 @p513 @p768 @p750 @p765 @p504 @p348 @p762 @p467 @p716) :args (@t303 (@list true false false true false false false false false false false false false false false false false) (@list @t252 @t250 @t246 @t245 @t243 @t239 @t237 @t231 @t228 @t496 @t490 @t382 @t306 @t318 @t487 @t304 @t504))) % 17.01/17.21 (step @p772 :rule cnf_equiv_pos2 :args (@t312)) % 17.01/17.21 (step @p773 :rule reordering :premises (@p772) :args ((or @t226 (not @t303) (not @t312)))) % 17.01/17.21 (step @p774 false :rule chain_m_resolution :premises (@p773 @p771 @p522 @p192) :args (false (@list false false true) (@list @t303 @t312 @t226))) % 17.01/17.21 ) % 17.01/17.21 % SZS output end Proof % 17.01/17.21 % cvc5 exiting %------------------------------------------------------------------------------