%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT326+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 08:30:19 AM UTC 2026 % Result : Theorem 1.24s 1.46s % Output : Proof 1.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : LAT326+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n017.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 06:28:31 EDT 2026 % 0.21/0.35 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 1.24/1.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.24/1.46 % SZS status Theorem % 1.24/1.46 % SZS output start Proof % 1.24/1.46 ( % 1.24/1.46 (declare-sort $$unsorted 0) % 1.24/1.46 (declare-const tptp.v3_binop_1 (-> $$unsorted $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.k1_xboole_0 $$unsorted) % 1.24/1.46 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.24/1.46 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 1.24/1.46 (declare-const tptp.k1_realset1 (-> $$unsorted $$unsorted $$unsorted)) % 1.24/1.46 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 1.24/1.46 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.r1_lattice2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 1.24/1.46 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 1.24/1.46 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 1.24/1.46 (declare-const tptp.k7_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.24/1.46 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 1.24/1.46 (define @t1 () (@var "C" $$unsorted)) % 1.24/1.46 (define @t2 () (@var "D" $$unsorted)) % 1.24/1.46 (define @t3 () (@var "B" $$unsorted)) % 1.24/1.46 (define @t4 () (tptp.v2_binop_1 @t2 @t3)) % 1.24/1.46 (define @t5 () (tptp.v1_binop_1 @t2 @t3)) % 1.24/1.46 (define @t6 () (tptp.v2_binop_1 @t1 @t3)) % 1.24/1.46 (define @t7 () (tptp.v1_binop_1 @t1 @t3)) % 1.24/1.46 (define @t8 () (and @t7 @t6 @t5 @t4 (tptp.r1_lattice2 @t3 @t1 @t2) (tptp.r1_lattice2 @t3 @t2 @t1))) % 1.24/1.46 (define @t9 () (@var "A" $$unsorted)) % 1.24/1.46 (define @t10 () (tptp.u1_lattices @t9)) % 1.24/1.46 (define @t11 () (tptp.k1_realset1 @t10 @t3)) % 1.24/1.46 (define @t12 () (= @t2 @t11)) % 1.24/1.46 (define @t13 () (tptp.u2_lattices @t9)) % 1.24/1.46 (define @t14 () (tptp.k1_realset1 @t13 @t3)) % 1.24/1.46 (define @t15 () (= @t1 @t14)) % 1.24/1.46 (define @t16 () (and @t15 @t12)) % 1.24/1.46 (define @t17 () (=> @t16 @t8)) % 1.24/1.46 (define @t18 () (tptp.k2_zfmisc_1 @t3 @t3)) % 1.24/1.46 (define @t19 () (tptp.m2_relset_1 @t2 @t18 @t3)) % 1.24/1.46 (define @t20 () (tptp.v1_funct_2 @t2 @t18 @t3)) % 1.24/1.46 (define @t21 () (tptp.v1_funct_1 @t2)) % 1.24/1.46 (define @t22 () (and @t21 @t20 @t19)) % 1.24/1.46 (define @t23 () (@list @t2)) % 1.24/1.46 (define @t24 () (forall @t23 (=> @t22 @t17))) % 1.24/1.46 (define @t25 () (tptp.m2_relset_1 @t1 @t18 @t3)) % 1.24/1.46 (define @t26 () (tptp.v1_funct_2 @t1 @t18 @t3)) % 1.24/1.46 (define @t27 () (tptp.v1_funct_1 @t1)) % 1.24/1.46 (define @t28 () (and @t27 @t26 @t25)) % 1.24/1.46 (define @t29 () (=> @t28 @t24)) % 1.24/1.46 (define @t30 () (@list @t1)) % 1.24/1.46 (define @t31 () (forall @t30 @t29)) % 1.24/1.46 (define @t32 () (tptp.m2_lattice4 @t3 @t9)) % 1.24/1.46 (define @t33 () (tptp.v1_xboole_0 @t3)) % 1.24/1.46 (define @t34 () (not @t33)) % 1.24/1.46 (define @t35 () (and @t34 @t32)) % 1.24/1.46 (define @t36 () (=> @t35 @t31)) % 1.24/1.46 (define @t37 () (@list @t3)) % 1.24/1.46 (define @t38 () (forall @t37 @t36)) % 1.24/1.46 (define @t39 () (tptp.l3_lattices @t9)) % 1.24/1.46 (define @t40 () (tptp.v10_lattices @t9)) % 1.24/1.46 (define @t41 () (tptp.v3_struct_0 @t9)) % 1.24/1.46 (define @t42 () (not @t41)) % 1.24/1.46 (define @t43 () (and @t42 @t40 @t39)) % 1.24/1.46 (define @t44 () (=> @t43 @t38)) % 1.24/1.46 (define @t45 () (@list @t9)) % 1.24/1.46 (define @t46 () (forall @t45 @t44)) % 1.24/1.46 (define @t47 () (not @t46)) % 1.24/1.46 (define @t48 () (tptp.r2_hidden @t9 @t3)) % 1.24/1.46 (define @t49 () (@list @t9 @t3)) % 1.24/1.46 (define @t50 () (tptp.v1_funct_1 @t9)) % 1.24/1.46 (define @t51 () (tptp.v1_xboole_0 @t9)) % 1.24/1.46 (define @t52 () (tptp.v7_lattices @t9)) % 1.24/1.46 (define @t53 () (tptp.v6_lattices @t9)) % 1.24/1.46 (define @t54 () (tptp.v5_lattices @t9)) % 1.24/1.46 (define @t55 () (tptp.v4_lattices @t9)) % 1.24/1.46 (define @t56 () (and @t42 @t55 @t54 @t53 @t52 (tptp.v8_lattices @t9) (tptp.v9_lattices @t9))) % 1.24/1.46 (define @t57 () (and @t42 @t40)) % 1.24/1.46 (define @t58 () (=> @t57 @t56)) % 1.24/1.46 (define @t59 () (forall @t45 (=> @t39 @t58))) % 1.24/1.46 (define @t60 () (tptp.k2_zfmisc_1 @t9 @t3)) % 1.24/1.46 (define @t61 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t60))) % 1.24/1.46 (define @t62 () (@list @t9 @t3 @t1)) % 1.24/1.46 (define @t63 () (tptp.v1_relat_1 @t9)) % 1.24/1.46 (define @t64 () (and @t63 @t50 (tptp.v2_funct_1 @t9))) % 1.24/1.46 (define @t65 () (and @t63 @t51 @t50)) % 1.24/1.46 (define @t66 () (tptp.k1_realset1 @t9 @t3)) % 1.24/1.46 (define @t67 () (tptp.k7_relat_1 @t9 @t3)) % 1.24/1.46 (define @t68 () (tptp.v1_relat_1 @t67)) % 1.24/1.46 (define @t69 () (tptp.l1_struct_0 @t9)) % 1.24/1.46 (define @t70 () (tptp.l1_lattices @t9)) % 1.24/1.46 (define @t71 () (forall @t45 (=> @t70 @t69))) % 1.24/1.46 (define @t72 () (tptp.l2_lattices @t9)) % 1.24/1.46 (define @t73 () (and @t70 @t72)) % 1.24/1.46 (define @t74 () (forall @t45 (=> @t39 @t73))) % 1.24/1.46 (define @t75 () (tptp.u1_struct_0 @t9)) % 1.24/1.46 (define @t76 () (tptp.k1_zfmisc_1 @t75)) % 1.24/1.46 (define @t77 () (tptp.m1_subset_1 @t3 @t76)) % 1.24/1.46 (define @t78 () (forall @t37 (=> @t32 @t77))) % 1.24/1.46 (define @t79 () (=> @t43 @t78)) % 1.24/1.46 (define @t80 () (forall @t45 @t79)) % 1.24/1.46 (define @t81 () (tptp.m2_relset_1 @t1 @t9 @t3)) % 1.24/1.46 (define @t82 () (tptp.k2_zfmisc_1 @t75 @t75)) % 1.24/1.46 (define @t83 () (tptp.v1_funct_2 @t10 @t82 @t75)) % 1.24/1.46 (define @t84 () (tptp.v1_funct_1 @t10)) % 1.24/1.46 (define @t85 () (and @t84 @t83 (tptp.m2_relset_1 @t10 @t82 @t75))) % 1.24/1.46 (define @t86 () (forall @t45 (=> @t70 @t85))) % 1.24/1.46 (define @t87 () (tptp.v1_funct_2 @t13 @t82 @t75)) % 1.24/1.46 (define @t88 () (tptp.v1_funct_1 @t13)) % 1.24/1.46 (define @t89 () (and @t88 @t87 (tptp.m2_relset_1 @t13 @t82 @t75))) % 1.24/1.46 (define @t90 () (forall @t45 (=> @t72 @t89))) % 1.24/1.46 (define @t91 () (tptp.m1_relset_1 @t1 @t9 @t3)) % 1.24/1.46 (define @t92 () (tptp.v1_relat_1 @t66)) % 1.24/1.46 (define @t93 () (not (tptp.v1_xboole_0 @t75))) % 1.24/1.46 (define @t94 () (and @t42 @t69)) % 1.24/1.46 (define @t95 () (forall @t45 (=> @t94 @t93))) % 1.24/1.46 (define @t96 () (tptp.k1_zfmisc_1 @t9)) % 1.24/1.46 (define @t97 () (tptp.v1_partfun1 @t13 @t82 @t75)) % 1.24/1.46 (define @t98 () (tptp.v1_relat_1 @t13)) % 1.24/1.46 (define @t99 () (and @t98 @t88 @t87 (tptp.v1_binop_1 @t13 @t75) @t97)) % 1.24/1.46 (define @t100 () (and @t42 @t55 @t72)) % 1.24/1.46 (define @t101 () (forall @t45 (=> @t100 @t99))) % 1.24/1.46 (define @t102 () (and @t63 @t50)) % 1.24/1.46 (define @t103 () (and @t98 @t88 @t87 (tptp.v2_binop_1 @t13 @t75) @t97)) % 1.24/1.46 (define @t104 () (and @t42 @t54 @t72)) % 1.24/1.46 (define @t105 () (forall @t45 (=> @t104 @t103))) % 1.24/1.46 (define @t106 () (tptp.v1_partfun1 @t10 @t82 @t75)) % 1.24/1.46 (define @t107 () (tptp.v1_relat_1 @t10)) % 1.24/1.46 (define @t108 () (and @t107 @t84 @t83 (tptp.v1_binop_1 @t10 @t75) @t106)) % 1.24/1.46 (define @t109 () (and @t42 @t53 @t70)) % 1.24/1.46 (define @t110 () (forall @t45 (=> @t109 @t108))) % 1.24/1.46 (define @t111 () (not @t51)) % 1.24/1.46 (define @t112 () (and @t107 @t84 @t83 (tptp.v2_binop_1 @t10 @t75) @t106)) % 1.24/1.46 (define @t113 () (and @t42 @t52 @t70)) % 1.24/1.46 (define @t114 () (forall @t45 (=> @t113 @t112))) % 1.24/1.46 (define @t115 () (tptp.m1_subset_1 @t3 @t96)) % 1.24/1.46 (define @t116 () (tptp.v2_binop_1 @t1 @t9)) % 1.24/1.46 (define @t117 () (tptp.v3_binop_1 @t2 @t3)) % 1.24/1.46 (define @t118 () (tptp.v3_binop_1 @t1 @t9)) % 1.24/1.46 (define @t119 () (tptp.v1_binop_1 @t1 @t9)) % 1.24/1.46 (define @t120 () (and (=> @t119 @t5) (=> @t118 @t117) (=> @t116 @t4))) % 1.24/1.46 (define @t121 () (tptp.k1_realset1 @t1 @t3)) % 1.24/1.46 (define @t122 () (= @t2 @t121)) % 1.24/1.46 (define @t123 () (=> @t122 @t120)) % 1.24/1.46 (define @t124 () (forall @t23 (=> @t22 @t123))) % 1.24/1.46 (define @t125 () (tptp.k2_zfmisc_1 @t9 @t9)) % 1.24/1.46 (define @t126 () (tptp.m2_relset_1 @t1 @t125 @t9)) % 1.24/1.46 (define @t127 () (tptp.v1_funct_2 @t1 @t125 @t9)) % 1.24/1.46 (define @t128 () (and @t27 @t127 @t126)) % 1.24/1.46 (define @t129 () (=> @t128 @t124)) % 1.24/1.46 (define @t130 () (forall @t30 @t129)) % 1.24/1.46 (define @t131 () (and @t34 @t115)) % 1.24/1.46 (define @t132 () (=> @t131 @t130)) % 1.24/1.46 (define @t133 () (forall @t37 @t132)) % 1.24/1.46 (define @t134 () (=> @t111 @t133)) % 1.24/1.46 (define @t135 () (forall @t45 @t134)) % 1.24/1.46 (define @t136 () (tptp.m1_subset_1 @t9 @t3)) % 1.24/1.46 (define @t137 () (tptp.r1_lattice2 @t75 @t13 @t10)) % 1.24/1.46 (define @t138 () (forall @t45 (=> @t43 @t137))) % 1.24/1.46 (define @t139 () (tptp.r1_lattice2 @t75 @t10 @t13)) % 1.24/1.46 (define @t140 () (forall @t45 (=> @t43 @t139))) % 1.24/1.46 (define @t141 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t1))) % 1.24/1.46 (define @t142 () (@var "F" $$unsorted)) % 1.24/1.46 (define @t143 () (@var "E" $$unsorted)) % 1.24/1.46 (define @t144 () (tptp.r1_lattice2 @t3 @t143 @t142)) % 1.24/1.46 (define @t145 () (tptp.r1_lattice2 @t9 @t1 @t2)) % 1.24/1.46 (define @t146 () (tptp.k1_realset1 @t2 @t3)) % 1.24/1.46 (define @t147 () (= @t142 @t146)) % 1.24/1.46 (define @t148 () (= @t143 @t121)) % 1.24/1.46 (define @t149 () (and @t148 @t147 @t145)) % 1.24/1.46 (define @t150 () (=> @t149 @t144)) % 1.24/1.46 (define @t151 () (tptp.m2_relset_1 @t142 @t18 @t3)) % 1.24/1.46 (define @t152 () (tptp.v1_funct_2 @t142 @t18 @t3)) % 1.24/1.46 (define @t153 () (tptp.v1_funct_1 @t142)) % 1.24/1.46 (define @t154 () (and @t153 @t152 @t151)) % 1.24/1.46 (define @t155 () (=> @t154 @t150)) % 1.24/1.46 (define @t156 () (@list @t142)) % 1.24/1.46 (define @t157 () (forall @t156 @t155)) % 1.24/1.46 (define @t158 () (tptp.m2_relset_1 @t143 @t18 @t3)) % 1.24/1.46 (define @t159 () (tptp.v1_funct_2 @t143 @t18 @t3)) % 1.24/1.46 (define @t160 () (tptp.v1_funct_1 @t143)) % 1.24/1.46 (define @t161 () (and @t160 @t159 @t158)) % 1.24/1.46 (define @t162 () (=> @t161 @t157)) % 1.24/1.46 (define @t163 () (@list @t143)) % 1.24/1.46 (define @t164 () (forall @t163 @t162)) % 1.24/1.46 (define @t165 () (tptp.m2_relset_1 @t2 @t125 @t9)) % 1.24/1.46 (define @t166 () (tptp.v1_funct_2 @t2 @t125 @t9)) % 1.24/1.46 (define @t167 () (and @t21 @t166 @t165)) % 1.24/1.46 (define @t168 () (=> @t167 @t164)) % 1.24/1.46 (define @t169 () (forall @t23 @t168)) % 1.24/1.46 (define @t170 () (=> @t128 @t169)) % 1.24/1.46 (define @t171 () (forall @t30 @t170)) % 1.24/1.46 (define @t172 () (=> @t131 @t171)) % 1.24/1.46 (define @t173 () (forall @t37 @t172)) % 1.24/1.46 (define @t174 () (=> @t111 @t173)) % 1.24/1.46 (define @t175 () (forall @t45 @t174)) % 1.24/1.46 (define @t176 () (@var "BOUND_VARIABLE_7846" $$unsorted)) % 1.24/1.46 (define @t177 () (tptp.k1_realset1 @t13 @t176)) % 1.24/1.46 (define @t178 () (tptp.k1_realset1 @t10 @t176)) % 1.24/1.46 (define @t179 () (and (tptp.v1_binop_1 @t177 @t176) (tptp.v2_binop_1 @t177 @t176) (tptp.v1_binop_1 @t178 @t176) (tptp.v2_binop_1 @t178 @t176) (tptp.r1_lattice2 @t176 @t177 @t178) (tptp.r1_lattice2 @t176 @t178 @t177))) % 1.24/1.46 (define @t180 () (tptp.k2_zfmisc_1 @t176 @t176)) % 1.24/1.46 (define @t181 () (not (tptp.m2_relset_1 @t177 @t180 @t176))) % 1.24/1.46 (define @t182 () (not (tptp.v1_funct_2 @t177 @t180 @t176))) % 1.24/1.46 (define @t183 () (not (tptp.v1_funct_1 @t177))) % 1.24/1.46 (define @t184 () (not (tptp.m2_relset_1 @t178 @t180 @t176))) % 1.24/1.46 (define @t185 () (not (tptp.v1_funct_2 @t178 @t180 @t176))) % 1.24/1.46 (define @t186 () (not (tptp.v1_funct_1 @t178))) % 1.24/1.46 (define @t187 () (not (tptp.m2_lattice4 @t176 @t9))) % 1.24/1.46 (define @t188 () (tptp.v1_xboole_0 @t176)) % 1.24/1.46 (define @t189 () (not @t39)) % 1.24/1.46 (define @t190 () (not @t40)) % 1.24/1.46 (define @t191 () (or @t41 @t190 @t189 @t188 @t187 @t186 @t185 @t184 @t183 @t182 @t181 @t179)) % 1.24/1.46 (define @t192 () (or @t188 @t187 @t186 @t185 @t184 @t183 @t182 @t181 @t179)) % 1.24/1.46 (define @t193 () (or @t41 @t190 @t189 @t192)) % 1.24/1.46 (define @t194 () (@list @t9 @t176)) % 1.24/1.46 (define @t195 () (forall @t194 @t193)) % 1.24/1.46 (define @t196 () (@list @t176)) % 1.24/1.46 (define @t197 () (forall @t196 @t193)) % 1.24/1.46 (define @t198 () (forall @t196 @t192)) % 1.24/1.46 (define @t199 () (@list @t3)) % 1.24/1.46 (define @t200 () (or @t41 @t190 @t189 @t198)) % 1.24/1.46 (define @t201 () (tptp.v2_binop_1 @t11 @t3)) % 1.24/1.46 (define @t202 () (tptp.v1_binop_1 @t11 @t3)) % 1.24/1.46 (define @t203 () (and (tptp.v1_binop_1 @t14 @t3) (tptp.v2_binop_1 @t14 @t3) @t202 @t201 (tptp.r1_lattice2 @t3 @t14 @t11) (tptp.r1_lattice2 @t3 @t11 @t14))) % 1.24/1.46 (define @t204 () (not (tptp.m2_relset_1 @t14 @t18 @t3))) % 1.24/1.46 (define @t205 () (not (tptp.v1_funct_2 @t14 @t18 @t3))) % 1.24/1.46 (define @t206 () (not (tptp.v1_funct_1 @t14))) % 1.24/1.46 (define @t207 () (not (tptp.m2_relset_1 @t11 @t18 @t3))) % 1.24/1.46 (define @t208 () (not (tptp.v1_funct_2 @t11 @t18 @t3))) % 1.24/1.46 (define @t209 () (not (tptp.v1_funct_1 @t11))) % 1.24/1.46 (define @t210 () (not @t32)) % 1.24/1.46 (define @t211 () (or @t33 @t210 @t209 @t208 @t207 @t206 @t205 @t204 @t203)) % 1.24/1.46 (define @t212 () (forall @t37 @t211)) % 1.24/1.46 (define @t213 () (or @t41 @t190 @t189 @t212)) % 1.24/1.46 (define @t214 () (or @t41 @t190 @t189)) % 1.24/1.46 (define @t215 () (not @t42)) % 1.24/1.46 (define @t216 () (or @t215 @t190 @t189)) % 1.24/1.46 (define @t217 () (not @t43)) % 1.24/1.46 (define @t218 () (or @t209 @t208 @t207 @t206 @t205 @t204 @t203)) % 1.24/1.46 (define @t219 () (not @t34)) % 1.24/1.46 (define @t220 () (or @t206 @t205 @t204 @t203)) % 1.24/1.46 (define @t221 () (not (= @t14 @t14))) % 1.24/1.46 (define @t222 () (or @t206 @t205 @t204 @t221 @t203)) % 1.24/1.46 (define @t223 () (and @t7 @t6 @t202 @t201 (tptp.r1_lattice2 @t3 @t1 @t11) (tptp.r1_lattice2 @t3 @t11 @t1))) % 1.24/1.46 (define @t224 () (not @t15)) % 1.24/1.46 (define @t225 () (not @t25)) % 1.24/1.46 (define @t226 () (not @t26)) % 1.24/1.46 (define @t227 () (not @t27)) % 1.24/1.46 (define @t228 () (or @t224 @t227 @t226 @t225 @t224 @t223)) % 1.24/1.46 (define @t229 () (or @t227 @t226 @t225 @t224 @t223)) % 1.24/1.46 (define @t230 () (forall @t30 @t229)) % 1.24/1.46 (define @t231 () (or @t209 @t208 @t207 @t230)) % 1.24/1.46 (define @t232 () (or @t209 @t208 @t207 @t229)) % 1.24/1.46 (define @t233 () (or @t227 @t226 @t225 @t224 @t209 @t208 @t207 @t223)) % 1.24/1.46 (define @t234 () (or @t224 @t209 @t208 @t207 @t223)) % 1.24/1.46 (define @t235 () (or @t227 @t226 @t225)) % 1.24/1.46 (define @t236 () (or @t209 @t208 @t207 @t223)) % 1.24/1.46 (define @t237 () (not (= @t11 @t11))) % 1.24/1.46 (define @t238 () (or @t209 @t208 @t207 @t237 @t223)) % 1.24/1.46 (define @t239 () (not @t12)) % 1.24/1.46 (define @t240 () (not @t19)) % 1.24/1.46 (define @t241 () (not @t20)) % 1.24/1.46 (define @t242 () (not @t21)) % 1.24/1.46 (define @t243 () (or @t239 @t242 @t241 @t240 @t239 @t8)) % 1.24/1.46 (define @t244 () (or @t242 @t241 @t240 @t239 @t8)) % 1.24/1.46 (define @t245 () (forall @t23 @t244)) % 1.24/1.46 (define @t246 () (or @t224 @t245)) % 1.24/1.46 (define @t247 () (or @t224 @t244)) % 1.24/1.46 (define @t248 () (or @t242 @t241 @t240 @t224 @t239 @t8)) % 1.24/1.46 (define @t249 () (or @t224 @t239 @t8)) % 1.24/1.46 (define @t250 () (or @t242 @t241 @t240)) % 1.24/1.46 (define @t251 () (not @t22)) % 1.24/1.46 (define @t252 () (forall @t194 @t191)) % 1.24/1.46 (define @t253 () (@quantifiers_skolemize @t252 1)) % 1.24/1.46 (define @t254 () (@quantifiers_skolemize @t252 0)) % 1.24/1.46 (define @t255 () (tptp.u2_lattices @t254)) % 1.24/1.46 (define @t256 () (tptp.k1_realset1 @t255 @t253)) % 1.24/1.46 (define @t257 () (tptp.u1_lattices @t254)) % 1.24/1.46 (define @t258 () (tptp.k1_realset1 @t257 @t253)) % 1.24/1.46 (define @t259 () (tptp.r1_lattice2 @t253 @t258 @t256)) % 1.24/1.46 (define @t260 () (tptp.r1_lattice2 @t253 @t256 @t258)) % 1.24/1.46 (define @t261 () (tptp.v2_binop_1 @t258 @t253)) % 1.24/1.46 (define @t262 () (tptp.v1_binop_1 @t258 @t253)) % 1.24/1.46 (define @t263 () (tptp.v2_binop_1 @t256 @t253)) % 1.24/1.46 (define @t264 () (tptp.v1_binop_1 @t256 @t253)) % 1.24/1.46 (define @t265 () (and @t264 @t263 @t262 @t261 @t260 @t259)) % 1.24/1.46 (define @t266 () (tptp.k2_zfmisc_1 @t253 @t253)) % 1.24/1.46 (define @t267 () (tptp.m2_relset_1 @t256 @t266 @t253)) % 1.24/1.46 (define @t268 () (not @t267)) % 1.24/1.46 (define @t269 () (tptp.v1_funct_2 @t256 @t266 @t253)) % 1.24/1.46 (define @t270 () (not @t269)) % 1.24/1.46 (define @t271 () (tptp.v1_funct_1 @t256)) % 1.24/1.46 (define @t272 () (not @t271)) % 1.24/1.46 (define @t273 () (tptp.m2_relset_1 @t258 @t266 @t253)) % 1.24/1.46 (define @t274 () (not @t273)) % 1.24/1.46 (define @t275 () (tptp.v1_funct_2 @t258 @t266 @t253)) % 1.24/1.46 (define @t276 () (not @t275)) % 1.24/1.46 (define @t277 () (tptp.v1_funct_1 @t258)) % 1.24/1.46 (define @t278 () (not @t277)) % 1.24/1.46 (define @t279 () (tptp.m2_lattice4 @t253 @t254)) % 1.24/1.46 (define @t280 () (not @t279)) % 1.24/1.46 (define @t281 () (tptp.v1_xboole_0 @t253)) % 1.24/1.46 (define @t282 () (tptp.l3_lattices @t254)) % 1.24/1.46 (define @t283 () (not @t282)) % 1.24/1.46 (define @t284 () (tptp.v10_lattices @t254)) % 1.24/1.46 (define @t285 () (not @t284)) % 1.24/1.46 (define @t286 () (tptp.v3_struct_0 @t254)) % 1.24/1.46 (define @t287 () (or @t286 @t285 @t283 @t281 @t280 @t278 @t276 @t274 @t272 @t270 @t268 @t265)) % 1.24/1.46 (define @t288 () (@list true)) % 1.24/1.46 (define @t289 () (@list @t287)) % 1.24/1.46 (define @t290 () (@var "BOUND_VARIABLE_8405" $$unsorted)) % 1.24/1.46 (define @t291 () (@var "BOUND_VARIABLE_8409" $$unsorted)) % 1.24/1.46 (define @t292 () (tptp.k1_realset1 @t291 @t290)) % 1.24/1.46 (define @t293 () (@var "BOUND_VARIABLE_8407" $$unsorted)) % 1.24/1.46 (define @t294 () (tptp.k1_realset1 @t293 @t290)) % 1.24/1.46 (define @t295 () (tptp.r1_lattice2 @t290 @t294 @t292)) % 1.24/1.46 (define @t296 () (tptp.k2_zfmisc_1 @t290 @t290)) % 1.24/1.46 (define @t297 () (not (tptp.m2_relset_1 @t292 @t296 @t290))) % 1.24/1.46 (define @t298 () (not (tptp.v1_funct_2 @t292 @t296 @t290))) % 1.24/1.46 (define @t299 () (not (tptp.v1_funct_1 @t292))) % 1.24/1.46 (define @t300 () (not (tptp.r1_lattice2 @t9 @t293 @t291))) % 1.24/1.46 (define @t301 () (not (tptp.m2_relset_1 @t291 @t125 @t9))) % 1.24/1.46 (define @t302 () (not (tptp.v1_funct_2 @t291 @t125 @t9))) % 1.24/1.46 (define @t303 () (not (tptp.v1_funct_1 @t291))) % 1.24/1.46 (define @t304 () (not (tptp.m2_relset_1 @t294 @t296 @t290))) % 1.24/1.46 (define @t305 () (not (tptp.v1_funct_2 @t294 @t296 @t290))) % 1.24/1.46 (define @t306 () (not (tptp.v1_funct_1 @t294))) % 1.24/1.46 (define @t307 () (not (tptp.m2_relset_1 @t293 @t125 @t9))) % 1.24/1.46 (define @t308 () (not (tptp.v1_funct_2 @t293 @t125 @t9))) % 1.24/1.46 (define @t309 () (not (tptp.v1_funct_1 @t293))) % 1.24/1.46 (define @t310 () (not (tptp.m1_subset_1 @t290 @t96))) % 1.24/1.46 (define @t311 () (tptp.v1_xboole_0 @t290)) % 1.24/1.46 (define @t312 () (or @t311 @t310 @t309 @t308 @t307 @t306 @t305 @t304 @t303 @t302 @t301 @t300 @t299 @t298 @t297 @t295)) % 1.24/1.46 (define @t313 () (or @t51 @t312)) % 1.24/1.46 (define @t314 () (forall (@list @t9 @t290 @t293 @t291) @t313)) % 1.24/1.46 (define @t315 () (@list @t290 @t293 @t291)) % 1.24/1.46 (define @t316 () (forall @t315 @t313)) % 1.24/1.46 (define @t317 () (forall @t315 @t312)) % 1.24/1.46 (define @t318 () (@var "BOUND_VARIABLE_8364" $$unsorted)) % 1.24/1.46 (define @t319 () (@var "BOUND_VARIABLE_8362" $$unsorted)) % 1.24/1.46 (define @t320 () (or @t51 @t317)) % 1.24/1.46 (define @t321 () (tptp.k1_realset1 @t318 @t3)) % 1.24/1.46 (define @t322 () (tptp.k1_realset1 @t319 @t3)) % 1.24/1.46 (define @t323 () (tptp.r1_lattice2 @t3 @t322 @t321)) % 1.24/1.46 (define @t324 () (not (tptp.m2_relset_1 @t321 @t18 @t3))) % 1.24/1.46 (define @t325 () (not (tptp.v1_funct_2 @t321 @t18 @t3))) % 1.24/1.46 (define @t326 () (not (tptp.v1_funct_1 @t321))) % 1.24/1.46 (define @t327 () (not (tptp.r1_lattice2 @t9 @t319 @t318))) % 1.24/1.46 (define @t328 () (not (tptp.m2_relset_1 @t318 @t125 @t9))) % 1.24/1.46 (define @t329 () (not (tptp.v1_funct_2 @t318 @t125 @t9))) % 1.24/1.46 (define @t330 () (not (tptp.v1_funct_1 @t318))) % 1.24/1.46 (define @t331 () (not (tptp.m2_relset_1 @t322 @t18 @t3))) % 1.24/1.46 (define @t332 () (not (tptp.v1_funct_2 @t322 @t18 @t3))) % 1.24/1.46 (define @t333 () (not (tptp.v1_funct_1 @t322))) % 1.24/1.46 (define @t334 () (not (tptp.m2_relset_1 @t319 @t125 @t9))) % 1.24/1.46 (define @t335 () (not (tptp.v1_funct_2 @t319 @t125 @t9))) % 1.24/1.46 (define @t336 () (not (tptp.v1_funct_1 @t319))) % 1.24/1.46 (define @t337 () (not @t115)) % 1.24/1.46 (define @t338 () (or @t33 @t337 @t336 @t335 @t334 @t333 @t332 @t331 @t330 @t329 @t328 @t327 @t326 @t325 @t324 @t323)) % 1.24/1.46 (define @t339 () (@list @t3 @t319 @t318)) % 1.24/1.46 (define @t340 () (forall @t339 @t338)) % 1.24/1.46 (define @t341 () (not @t111)) % 1.24/1.46 (define @t342 () (or @t336 @t335 @t334 @t333 @t332 @t331 @t330 @t329 @t328 @t327 @t326 @t325 @t324 @t323)) % 1.24/1.46 (define @t343 () (or @t33 @t337 @t342)) % 1.24/1.46 (define @t344 () (forall @t339 @t343)) % 1.24/1.46 (define @t345 () (@list @t319 @t318)) % 1.24/1.46 (define @t346 () (forall @t345 @t343)) % 1.24/1.46 (define @t347 () (forall @t345 @t342)) % 1.24/1.46 (define @t348 () (@var "BOUND_VARIABLE_8334" $$unsorted)) % 1.24/1.46 (define @t349 () (or @t33 @t337 @t347)) % 1.24/1.46 (define @t350 () (tptp.k1_realset1 @t348 @t3)) % 1.24/1.46 (define @t351 () (tptp.r1_lattice2 @t3 @t121 @t350)) % 1.24/1.46 (define @t352 () (not (tptp.m2_relset_1 @t350 @t18 @t3))) % 1.24/1.46 (define @t353 () (not (tptp.v1_funct_2 @t350 @t18 @t3))) % 1.24/1.46 (define @t354 () (not (tptp.v1_funct_1 @t350))) % 1.24/1.46 (define @t355 () (not (tptp.r1_lattice2 @t9 @t1 @t348))) % 1.24/1.46 (define @t356 () (not (tptp.m2_relset_1 @t348 @t125 @t9))) % 1.24/1.46 (define @t357 () (not (tptp.v1_funct_2 @t348 @t125 @t9))) % 1.24/1.46 (define @t358 () (not (tptp.v1_funct_1 @t348))) % 1.24/1.46 (define @t359 () (not (tptp.m2_relset_1 @t121 @t18 @t3))) % 1.24/1.46 (define @t360 () (not (tptp.v1_funct_2 @t121 @t18 @t3))) % 1.24/1.46 (define @t361 () (not (tptp.v1_funct_1 @t121))) % 1.24/1.46 (define @t362 () (not @t126)) % 1.24/1.46 (define @t363 () (not @t127)) % 1.24/1.46 (define @t364 () (or @t227 @t363 @t362 @t361 @t360 @t359 @t358 @t357 @t356 @t355 @t354 @t353 @t352 @t351)) % 1.24/1.46 (define @t365 () (@list @t1 @t348)) % 1.24/1.46 (define @t366 () (forall @t365 @t364)) % 1.24/1.46 (define @t367 () (or @t33 @t337 @t366)) % 1.24/1.46 (define @t368 () (or @t33 @t337)) % 1.24/1.46 (define @t369 () (not @t131)) % 1.24/1.46 (define @t370 () (or @t358 @t357 @t356 @t355 @t354 @t353 @t352 @t351)) % 1.24/1.46 (define @t371 () (or @t227 @t363 @t362 @t361 @t360 @t359 @t370)) % 1.24/1.46 (define @t372 () (forall @t365 @t371)) % 1.24/1.46 (define @t373 () (@list @t348)) % 1.24/1.46 (define @t374 () (forall @t373 @t371)) % 1.24/1.46 (define @t375 () (forall @t373 @t370)) % 1.24/1.46 (define @t376 () (or @t227 @t363 @t362 @t361 @t360 @t359 @t375)) % 1.24/1.46 (define @t377 () (tptp.r1_lattice2 @t3 @t121 @t146)) % 1.24/1.46 (define @t378 () (not (tptp.m2_relset_1 @t146 @t18 @t3))) % 1.24/1.46 (define @t379 () (not (tptp.v1_funct_2 @t146 @t18 @t3))) % 1.24/1.46 (define @t380 () (not (tptp.v1_funct_1 @t146))) % 1.24/1.46 (define @t381 () (not @t145)) % 1.24/1.46 (define @t382 () (not @t165)) % 1.24/1.46 (define @t383 () (not @t166)) % 1.24/1.46 (define @t384 () (or @t242 @t383 @t382 @t381 @t380 @t379 @t378 @t377)) % 1.24/1.46 (define @t385 () (forall @t23 @t384)) % 1.24/1.46 (define @t386 () (or @t227 @t363 @t362 @t361 @t360 @t359 @t385)) % 1.24/1.46 (define @t387 () (or @t361 @t360 @t359 @t385)) % 1.24/1.46 (define @t388 () (or @t227 @t363 @t362)) % 1.24/1.46 (define @t389 () (not @t128)) % 1.24/1.46 (define @t390 () (or @t361 @t360 @t359 @t384)) % 1.24/1.46 (define @t391 () (or @t242 @t383 @t382 @t381 @t380 @t379 @t378 @t361 @t360 @t359 @t377)) % 1.24/1.46 (define @t392 () (or @t381 @t380 @t379 @t378 @t361 @t360 @t359 @t377)) % 1.24/1.46 (define @t393 () (or @t242 @t383 @t382)) % 1.24/1.46 (define @t394 () (or @t361 @t360 @t359 @t377)) % 1.24/1.46 (define @t395 () (not (= @t121 @t121))) % 1.24/1.46 (define @t396 () (or @t361 @t360 @t359 @t395 @t377)) % 1.24/1.46 (define @t397 () (tptp.r1_lattice2 @t3 @t143 @t146)) % 1.24/1.46 (define @t398 () (= @t121 @t143)) % 1.24/1.46 (define @t399 () (not @t398)) % 1.24/1.46 (define @t400 () (not @t158)) % 1.24/1.46 (define @t401 () (not @t159)) % 1.24/1.46 (define @t402 () (not @t160)) % 1.24/1.46 (define @t403 () (or @t399 @t402 @t401 @t400 @t399 @t397)) % 1.24/1.46 (define @t404 () (or @t402 @t401 @t400 @t399 @t397)) % 1.24/1.46 (define @t405 () (forall @t163 @t404)) % 1.24/1.46 (define @t406 () (or @t381 @t380 @t379 @t378 @t405)) % 1.24/1.46 (define @t407 () (or @t381 @t380 @t379 @t378 @t404)) % 1.24/1.46 (define @t408 () (or @t402 @t401 @t400 @t399 @t381 @t380 @t379 @t378 @t397)) % 1.24/1.46 (define @t409 () (or @t399 @t381 @t380 @t379 @t378 @t397)) % 1.24/1.46 (define @t410 () (or @t402 @t401 @t400)) % 1.24/1.46 (define @t411 () (or @t380 @t379 @t378 @t397)) % 1.24/1.46 (define @t412 () (not (= @t146 @t146))) % 1.24/1.46 (define @t413 () (or @t380 @t379 @t378 @t412 @t397)) % 1.24/1.46 (define @t414 () (not @t147)) % 1.24/1.46 (define @t415 () (not @t151)) % 1.24/1.46 (define @t416 () (not @t152)) % 1.24/1.46 (define @t417 () (not @t153)) % 1.24/1.46 (define @t418 () (or @t414 @t417 @t416 @t415 @t414 @t144)) % 1.24/1.46 (define @t419 () (or @t417 @t416 @t415 @t414 @t144)) % 1.24/1.46 (define @t420 () (forall @t156 @t419)) % 1.24/1.46 (define @t421 () (or @t399 @t381 @t420)) % 1.24/1.46 (define @t422 () (or @t399 @t381 @t419)) % 1.24/1.46 (define @t423 () (or @t417 @t416 @t415 @t399 @t414 @t381 @t144)) % 1.24/1.46 (define @t424 () (or @t399 @t414 @t381 @t144)) % 1.24/1.46 (define @t425 () (or @t417 @t416 @t415)) % 1.24/1.46 (define @t426 () (or @t399 @t414 @t381)) % 1.24/1.46 (define @t427 () (and @t398 @t147 @t145)) % 1.24/1.46 (define @t428 () (=> @t427 @t144)) % 1.24/1.46 (define @t429 () (tptp.u1_struct_0 @t254)) % 1.24/1.46 (define @t430 () (@list @t254)) % 1.24/1.46 (define @t431 () (not @t286)) % 1.24/1.46 (define @t432 () (tptp.r1_lattice2 @t429 @t257 @t255)) % 1.24/1.46 (define @t433 () (or @t286 @t285 @t283 @t432)) % 1.24/1.46 (define @t434 () (@list true false false false)) % 1.24/1.46 (define @t435 () (tptp.l2_lattices @t254)) % 1.24/1.46 (define @t436 () (tptp.l1_lattices @t254)) % 1.24/1.46 (define @t437 () (and @t436 @t435)) % 1.24/1.46 (define @t438 () (or @t283 @t437)) % 1.24/1.46 (define @t439 () (@list false false)) % 1.24/1.46 (define @t440 () (not @t437)) % 1.24/1.46 (define @t441 () (@list false)) % 1.24/1.46 (define @t442 () (@list @t437)) % 1.24/1.46 (define @t443 () (tptp.k2_zfmisc_1 @t429 @t429)) % 1.24/1.46 (define @t444 () (tptp.m2_relset_1 @t255 @t443 @t429)) % 1.24/1.46 (define @t445 () (tptp.v1_funct_2 @t255 @t443 @t429)) % 1.24/1.46 (define @t446 () (tptp.v1_funct_1 @t255)) % 1.24/1.46 (define @t447 () (and @t446 @t445 @t444)) % 1.24/1.46 (define @t448 () (not @t435)) % 1.24/1.46 (define @t449 () (or @t448 @t447)) % 1.24/1.46 (define @t450 () (not @t447)) % 1.24/1.46 (define @t451 () (@list @t447)) % 1.24/1.46 (define @t452 () (tptp.m2_relset_1 @t257 @t443 @t429)) % 1.24/1.46 (define @t453 () (tptp.v1_funct_2 @t257 @t443 @t429)) % 1.24/1.46 (define @t454 () (tptp.v1_funct_1 @t257)) % 1.24/1.46 (define @t455 () (and @t454 @t453 @t452)) % 1.24/1.46 (define @t456 () (not @t436)) % 1.24/1.46 (define @t457 () (or @t456 @t455)) % 1.24/1.46 (define @t458 () (not @t455)) % 1.24/1.46 (define @t459 () (@list @t455)) % 1.24/1.46 (define @t460 () (@var "BOUND_VARIABLE_7949" $$unsorted)) % 1.24/1.46 (define @t461 () (tptp.m1_subset_1 @t460 @t76)) % 1.24/1.46 (define @t462 () (not (tptp.m2_lattice4 @t460 @t9))) % 1.24/1.46 (define @t463 () (or @t462 @t461)) % 1.24/1.46 (define @t464 () (or @t41 @t190 @t189 @t463)) % 1.24/1.46 (define @t465 () (forall (@list @t9 @t460) @t464)) % 1.24/1.46 (define @t466 () (@list @t460)) % 1.24/1.46 (define @t467 () (forall @t466 @t464)) % 1.24/1.46 (define @t468 () (forall @t466 @t463)) % 1.24/1.46 (define @t469 () (or @t41 @t190 @t189 @t468)) % 1.24/1.46 (define @t470 () (forall @t37 (or @t210 @t77))) % 1.24/1.46 (define @t471 () (or @t41 @t190 @t189 @t470)) % 1.24/1.46 (define @t472 () (tptp.m1_subset_1 @t253 (tptp.k1_zfmisc_1 @t429))) % 1.24/1.46 (define @t473 () (or @t286 @t285 @t283 @t280 @t472)) % 1.24/1.46 (define @t474 () (not @t69)) % 1.24/1.46 (define @t475 () (tptp.l1_struct_0 @t254)) % 1.24/1.46 (define @t476 () (or @t456 @t475)) % 1.24/1.46 (define @t477 () (tptp.v1_xboole_0 @t429)) % 1.24/1.46 (define @t478 () (not @t477)) % 1.24/1.46 (define @t479 () (not @t475)) % 1.24/1.46 (define @t480 () (or @t286 @t479 @t478)) % 1.24/1.46 (define @t481 () (not @t432)) % 1.24/1.46 (define @t482 () (not @t444)) % 1.24/1.46 (define @t483 () (not @t445)) % 1.24/1.46 (define @t484 () (not @t446)) % 1.24/1.46 (define @t485 () (not @t452)) % 1.24/1.46 (define @t486 () (not @t453)) % 1.24/1.46 (define @t487 () (not @t454)) % 1.24/1.46 (define @t488 () (not @t472)) % 1.24/1.46 (define @t489 () (or @t477 @t281 @t488 @t487 @t486 @t485 @t278 @t276 @t274 @t484 @t483 @t482 @t481 @t272 @t270 @t268 @t259)) % 1.24/1.46 (define @t490 () (@list true false false false false false false true false false false false false false false false false)) % 1.24/1.46 (define @t491 () (tptp.r1_lattice2 @t429 @t255 @t257)) % 1.24/1.46 (define @t492 () (or @t286 @t285 @t283 @t491)) % 1.24/1.46 (define @t493 () (not @t491)) % 1.24/1.46 (define @t494 () (or @t477 @t281 @t488 @t484 @t483 @t482 @t272 @t270 @t268 @t487 @t486 @t485 @t493 @t278 @t276 @t274 @t260)) % 1.24/1.46 (define @t495 () (@var "BOUND_VARIABLE_8206" $$unsorted)) % 1.24/1.46 (define @t496 () (@var "BOUND_VARIABLE_8208" $$unsorted)) % 1.24/1.46 (define @t497 () (tptp.k1_realset1 @t496 @t495)) % 1.24/1.46 (define @t498 () (and (or (not (tptp.v1_binop_1 @t496 @t9)) (tptp.v1_binop_1 @t497 @t495)) (or (not (tptp.v3_binop_1 @t496 @t9)) (tptp.v3_binop_1 @t497 @t495)) (or (not (tptp.v2_binop_1 @t496 @t9)) (tptp.v2_binop_1 @t497 @t495)))) % 1.24/1.46 (define @t499 () (tptp.k2_zfmisc_1 @t495 @t495)) % 1.24/1.46 (define @t500 () (not (tptp.m2_relset_1 @t497 @t499 @t495))) % 1.24/1.46 (define @t501 () (not (tptp.v1_funct_2 @t497 @t499 @t495))) % 1.24/1.46 (define @t502 () (not (tptp.v1_funct_1 @t497))) % 1.24/1.46 (define @t503 () (not (tptp.m2_relset_1 @t496 @t125 @t9))) % 1.24/1.46 (define @t504 () (not (tptp.v1_funct_2 @t496 @t125 @t9))) % 1.24/1.46 (define @t505 () (not (tptp.v1_funct_1 @t496))) % 1.24/1.46 (define @t506 () (not (tptp.m1_subset_1 @t495 @t96))) % 1.24/1.46 (define @t507 () (tptp.v1_xboole_0 @t495)) % 1.24/1.46 (define @t508 () (or @t507 @t506 @t505 @t504 @t503 @t502 @t501 @t500 @t498)) % 1.24/1.46 (define @t509 () (or @t51 @t508)) % 1.24/1.46 (define @t510 () (forall (@list @t9 @t495 @t496) @t509)) % 1.24/1.46 (define @t511 () (@list @t495 @t496)) % 1.24/1.46 (define @t512 () (forall @t511 @t509)) % 1.24/1.46 (define @t513 () (forall @t511 @t508)) % 1.24/1.46 (define @t514 () (@var "BOUND_VARIABLE_8168" $$unsorted)) % 1.24/1.46 (define @t515 () (or @t51 @t513)) % 1.24/1.46 (define @t516 () (tptp.k1_realset1 @t514 @t3)) % 1.24/1.46 (define @t517 () (and (or (not (tptp.v1_binop_1 @t514 @t9)) (tptp.v1_binop_1 @t516 @t3)) (or (not (tptp.v3_binop_1 @t514 @t9)) (tptp.v3_binop_1 @t516 @t3)) (or (not (tptp.v2_binop_1 @t514 @t9)) (tptp.v2_binop_1 @t516 @t3)))) % 1.24/1.46 (define @t518 () (not (tptp.m2_relset_1 @t516 @t18 @t3))) % 1.24/1.46 (define @t519 () (not (tptp.v1_funct_2 @t516 @t18 @t3))) % 1.24/1.46 (define @t520 () (not (tptp.v1_funct_1 @t516))) % 1.24/1.46 (define @t521 () (not (tptp.m2_relset_1 @t514 @t125 @t9))) % 1.24/1.46 (define @t522 () (not (tptp.v1_funct_2 @t514 @t125 @t9))) % 1.24/1.46 (define @t523 () (not (tptp.v1_funct_1 @t514))) % 1.24/1.46 (define @t524 () (or @t33 @t337 @t523 @t522 @t521 @t520 @t519 @t518 @t517)) % 1.24/1.46 (define @t525 () (@list @t3 @t514)) % 1.24/1.46 (define @t526 () (forall @t525 @t524)) % 1.24/1.46 (define @t527 () (or @t523 @t522 @t521 @t520 @t519 @t518 @t517)) % 1.24/1.46 (define @t528 () (or @t33 @t337 @t527)) % 1.24/1.46 (define @t529 () (forall @t525 @t528)) % 1.24/1.46 (define @t530 () (@list @t514)) % 1.24/1.46 (define @t531 () (forall @t530 @t528)) % 1.24/1.46 (define @t532 () (forall @t530 @t527)) % 1.24/1.46 (define @t533 () (or @t33 @t337 @t532)) % 1.24/1.46 (define @t534 () (not @t116)) % 1.24/1.46 (define @t535 () (not @t118)) % 1.24/1.46 (define @t536 () (not @t119)) % 1.24/1.46 (define @t537 () (and (or @t536 (tptp.v1_binop_1 @t121 @t3)) (or @t535 (tptp.v3_binop_1 @t121 @t3)) (or @t534 (tptp.v2_binop_1 @t121 @t3)))) % 1.24/1.46 (define @t538 () (or @t227 @t363 @t362 @t361 @t360 @t359 @t537)) % 1.24/1.46 (define @t539 () (forall @t30 @t538)) % 1.24/1.46 (define @t540 () (or @t33 @t337 @t539)) % 1.24/1.46 (define @t541 () (or @t361 @t360 @t359 @t537)) % 1.24/1.46 (define @t542 () (or @t361 @t360 @t359 @t395 @t537)) % 1.24/1.46 (define @t543 () (and (or @t536 @t5) (or @t535 @t117) (or @t534 @t4))) % 1.24/1.46 (define @t544 () (not @t122)) % 1.24/1.46 (define @t545 () (or @t544 @t242 @t241 @t240 @t544 @t543)) % 1.24/1.46 (define @t546 () (or @t242 @t241 @t240 @t544 @t543)) % 1.24/1.46 (define @t547 () (tptp.v2_binop_1 @t255 @t429)) % 1.24/1.46 (define @t548 () (not @t547)) % 1.24/1.46 (define @t549 () (or @t548 @t263)) % 1.24/1.46 (define @t550 () (tptp.v1_binop_1 @t255 @t429)) % 1.24/1.46 (define @t551 () (not @t550)) % 1.24/1.46 (define @t552 () (or @t551 @t264)) % 1.24/1.46 (define @t553 () (and @t552 (or (not (tptp.v3_binop_1 @t255 @t429)) (tptp.v3_binop_1 @t256 @t253)) @t549)) % 1.24/1.46 (define @t554 () (or @t477 @t281 @t488 @t484 @t483 @t482 @t272 @t270 @t268 @t553)) % 1.24/1.46 (define @t555 () (@list true false false false true false false false false false)) % 1.24/1.46 (define @t556 () (not @t553)) % 1.24/1.46 (define @t557 () (@list @t553)) % 1.24/1.46 (define @t558 () (not @t72)) % 1.24/1.46 (define @t559 () (not @t54)) % 1.24/1.46 (define @t560 () (or @t215 @t559 @t558)) % 1.24/1.46 (define @t561 () (or @t41 @t190 @t56)) % 1.24/1.46 (define @t562 () (tptp.v7_lattices @t254)) % 1.24/1.46 (define @t563 () (tptp.v6_lattices @t254)) % 1.24/1.46 (define @t564 () (tptp.v5_lattices @t254)) % 1.24/1.46 (define @t565 () (tptp.v4_lattices @t254)) % 1.24/1.46 (define @t566 () (and @t431 @t565 @t564 @t563 @t562 (tptp.v8_lattices @t254) (tptp.v9_lattices @t254))) % 1.24/1.46 (define @t567 () (or @t283 @t286 @t285 @t566)) % 1.24/1.46 (define @t568 () (not @t566)) % 1.24/1.46 (define @t569 () (@list @t566)) % 1.24/1.46 (define @t570 () (tptp.v1_partfun1 @t255 @t443 @t429)) % 1.24/1.46 (define @t571 () (tptp.v1_relat_1 @t255)) % 1.24/1.46 (define @t572 () (and @t571 @t446 @t445 @t547 @t570)) % 1.24/1.46 (define @t573 () (not @t564)) % 1.24/1.46 (define @t574 () (or @t286 @t573 @t448 @t572)) % 1.24/1.46 (define @t575 () (not @t55)) % 1.24/1.46 (define @t576 () (or @t215 @t575 @t558)) % 1.24/1.46 (define @t577 () (and @t571 @t446 @t445 @t550 @t570)) % 1.24/1.46 (define @t578 () (not @t565)) % 1.24/1.46 (define @t579 () (or @t286 @t578 @t448 @t577)) % 1.24/1.46 (define @t580 () (tptp.v2_binop_1 @t257 @t429)) % 1.24/1.46 (define @t581 () (not @t580)) % 1.24/1.46 (define @t582 () (or @t581 @t261)) % 1.24/1.46 (define @t583 () (tptp.v1_binop_1 @t257 @t429)) % 1.24/1.46 (define @t584 () (not @t583)) % 1.24/1.46 (define @t585 () (or @t584 @t262)) % 1.24/1.46 (define @t586 () (and @t585 (or (not (tptp.v3_binop_1 @t257 @t429)) (tptp.v3_binop_1 @t258 @t253)) @t582)) % 1.24/1.46 (define @t587 () (or @t477 @t281 @t488 @t487 @t486 @t485 @t278 @t276 @t274 @t586)) % 1.24/1.46 (define @t588 () (not @t586)) % 1.24/1.46 (define @t589 () (@list @t586)) % 1.24/1.46 (define @t590 () (not @t70)) % 1.24/1.46 (define @t591 () (not @t53)) % 1.24/1.46 (define @t592 () (or @t215 @t591 @t590)) % 1.24/1.46 (define @t593 () (tptp.v1_partfun1 @t257 @t443 @t429)) % 1.24/1.46 (define @t594 () (tptp.v1_relat_1 @t257)) % 1.24/1.46 (define @t595 () (and @t594 @t454 @t453 @t583 @t593)) % 1.24/1.46 (define @t596 () (not @t563)) % 1.24/1.46 (define @t597 () (or @t286 @t596 @t456 @t595)) % 1.24/1.46 (define @t598 () (not @t52)) % 1.24/1.46 (define @t599 () (or @t215 @t598 @t590)) % 1.24/1.46 (define @t600 () (and @t594 @t454 @t453 @t580 @t593)) % 1.24/1.46 (define @t601 () (not @t562)) % 1.24/1.46 (define @t602 () (or @t286 @t601 @t456 @t600)) % 1.24/1.46 (assume @p1 @t47) % 1.24/1.46 (assume @p2 (forall @t49 (=> @t48 (not (tptp.r2_hidden @t3 @t9))))) % 1.24/1.46 (assume @p3 (forall @t45 (=> @t51 @t50))) % 1.24/1.46 (assume @p4 @t59) % 1.24/1.46 (assume @p5 (forall @t62 (=> @t61 (tptp.v1_relat_1 @t1)))) % 1.24/1.46 (assume @p6 (forall @t45 (=> @t65 @t64))) % 1.24/1.46 (assume @p7 (forall @t45 (=> @t39 (=> @t56 @t57)))) % 1.24/1.46 (assume @p8 (forall @t45 (=> @t63 (forall @t37 (= @t66 (tptp.k7_relat_1 @t9 @t18)))))) % 1.24/1.46 (assume @p9 true) % 1.24/1.46 (assume @p10 (forall @t49 (=> @t63 @t68))) % 1.24/1.46 (assume @p11 @t71) % 1.24/1.46 (assume @p12 (forall @t45 (=> @t72 @t69))) % 1.24/1.46 (assume @p13 @t74) % 1.24/1.46 (assume @p14 @t80) % 1.24/1.46 (assume @p15 (forall @t62 (=> @t81 @t61))) % 1.24/1.46 (assume @p16 @t86) % 1.24/1.46 (assume @p17 @t90) % 1.24/1.46 (assume @p18 (exists @t45 @t70)) % 1.24/1.46 (assume @p19 (exists @t45 @t69)) % 1.24/1.46 (assume @p20 (exists @t45 @t72)) % 1.24/1.46 (assume @p21 (exists @t45 @t39)) % 1.24/1.46 (assume @p22 (forall @t49 (exists @t30 @t91))) % 1.24/1.46 (assume @p23 (forall @t45 (exists @t37 (tptp.m1_subset_1 @t3 @t9)))) % 1.24/1.46 (assume @p24 (forall @t45 (=> @t43 (exists @t37 @t32)))) % 1.24/1.46 (assume @p25 (forall @t49 (exists @t30 @t81))) % 1.24/1.46 (assume @p26 (forall @t49 (=> @t63 @t92))) % 1.24/1.46 (assume @p27 @t95) % 1.24/1.46 (assume @p28 (forall @t45 (not (tptp.v1_xboole_0 @t96)))) % 1.24/1.46 (assume @p29 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 1.24/1.46 (assume @p30 @t101) % 1.24/1.46 (assume @p31 (forall @t49 (=> @t102 (and @t92 (tptp.v1_funct_1 @t66))))) % 1.24/1.46 (assume @p32 @t105) % 1.24/1.46 (assume @p33 (forall @t49 (=> @t102 (and @t68 (tptp.v1_funct_1 @t67))))) % 1.24/1.46 (assume @p34 @t110) % 1.24/1.46 (assume @p35 (forall @t49 (=> (and @t111 @t34) (not (tptp.v1_xboole_0 @t60))))) % 1.24/1.46 (assume @p36 @t114) % 1.24/1.46 (assume @p37 (exists @t45 @t102)) % 1.24/1.46 (assume @p38 (forall @t45 (=> @t43 (exists @t37 (and @t32 @t34))))) % 1.24/1.46 (assume @p39 (forall @t45 (=> @t111 (exists @t37 (and @t115 @t34))))) % 1.24/1.46 (assume @p40 (exists @t45 @t51)) % 1.24/1.46 (assume @p41 (exists @t45 @t65)) % 1.24/1.46 (assume @p42 (forall @t45 (exists @t37 (and @t115 @t33)))) % 1.24/1.46 (assume @p43 (exists @t45 @t111)) % 1.24/1.46 (assume @p44 (exists @t45 @t64)) % 1.24/1.46 (assume @p45 (exists @t45 (and @t69 @t42))) % 1.24/1.46 (assume @p46 (forall @t45 (=> @t94 (exists @t37 (and @t77 @t34))))) % 1.24/1.46 (assume @p47 (forall @t62 (= @t81 @t91))) % 1.24/1.46 (assume @p48 (forall @t49 (tptp.r1_tarski @t9 @t9))) % 1.24/1.46 (assume @p49 @t135) % 1.24/1.46 (assume @p50 (forall @t49 (=> @t48 @t136))) % 1.24/1.46 (assume @p51 (forall @t49 (=> @t136 (or @t33 @t48)))) % 1.24/1.46 (assume @p52 (forall @t49 (= (tptp.m1_subset_1 @t9 (tptp.k1_zfmisc_1 @t3)) (tptp.r1_tarski @t9 @t3)))) % 1.24/1.46 (assume @p53 @t138) % 1.24/1.46 (assume @p54 @t140) % 1.24/1.46 (assume @p55 (forall @t62 (=> (and @t48 @t141) (tptp.m1_subset_1 @t9 @t1)))) % 1.24/1.46 (assume @p56 @t175) % 1.24/1.46 (assume @p57 (forall @t62 (not (and @t48 @t141 (tptp.v1_xboole_0 @t1))))) % 1.24/1.46 (assume @p58 (forall @t45 (=> @t51 (= @t9 tptp.k1_xboole_0)))) % 1.24/1.46 (assume @p59 (forall @t49 (not (and @t48 @t33)))) % 1.24/1.46 (assume @p60 (forall @t49 (not (and @t51 (not (= @t9 @t3)) @t33)))) % 1.24/1.46 (step @p61 :rule aci_norm :args ((= @t193 @t191))) % 1.24/1.46 (step @p62 :rule cong :premises (@p61) :args (@t195)) % 1.24/1.46 (step @p63 :rule quant-merge-prenex :args ((= (forall @t45 @t197) @t195))) % 1.24/1.46 (step @p64 :rule alpha_equiv :args (@t198 (@list @t176) @t199)) % 1.24/1.46 (step @p65 :rule refl :args (@t189)) % 1.24/1.46 (step @p66 :rule refl :args (@t190)) % 1.24/1.46 (step @p67 :rule refl :args (@t41)) % 1.24/1.46 (step @p68 :rule nary_cong :premises (@p67 @p66 @p65 @p64) :args (@t200)) % 1.24/1.46 (step @p69 :rule quant-miniscope-or :args ((= @t197 @t200))) 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trans :premises (@p720 @p719)) % 1.24/1.46 (step @p722 :rule nary_cong :premises (@p721 @p718) :args ((or (not @t57) @t56))) % 1.24/1.46 (step @p723 :rule trans :premises (@p722 @p717)) % 1.24/1.46 (step @p724 :rule bool-impl-elim :args (@t57 @t56)) % 1.24/1.46 (step @p725 :rule trans :premises (@p724 @p723)) % 1.24/1.46 (step @p726 :rule nary_cong :premises (@p65 @p725) :args ((or @t189 @t58))) % 1.24/1.46 (step @p727 :rule trans :premises (@p726 @p716)) % 1.24/1.46 (step @p728 :rule bool-impl-elim :args (@t39 @t58)) % 1.24/1.46 (step @p729 :rule trans :premises (@p728 @p727)) % 1.24/1.46 (step @p730 :rule cong :premises (@p729) :args (@t59)) % 1.24/1.46 (step @p731 :rule eq_resolve :premises (@p4 @p730)) % 1.24/1.46 (step @p732 :rule instantiate :premises (@p731) :args (@t430)) % 1.24/1.46 (step @p733 :rule cnf_or_pos :args (@t567)) % 1.24/1.46 (step @p734 :rule reordering :premises (@p733) :args ((or @t286 @t285 @t283 @t566 (not @t567)))) % 1.24/1.46 (step @p735 :rule chain_m_resolution :premises (@p734 @p449 @p447 @p441 @p732) :args (@t566 @t434 (@list @t286 @t284 @t282 @t567))) % 1.24/1.46 (step @p736 :rule cnf_and_pos :args (@t566 2)) % 1.24/1.46 (step @p737 :rule reordering :premises (@p736) :args ((or @t564 @t568))) % 1.24/1.46 (step @p738 :rule chain_m_resolution :premises (@p737 @p735) :args (@t564 @t441 @t569)) % 1.24/1.46 (step @p739 :rule cnf_or_pos :args (@t574)) % 1.24/1.46 (step @p740 :rule reordering :premises (@p739) :args ((or @t286 @t448 @t573 @t572 (not @t574)))) % 1.24/1.46 (step @p741 :rule chain_m_resolution :premises (@p740 @p449 @p466 @p738 @p715) :args (@t572 @t434 (@list @t286 @t435 @t564 @t574))) % 1.24/1.46 (step @p742 :rule cnf_and_pos :args (@t572 3)) % 1.24/1.46 (step @p743 :rule reordering :premises (@p742) :args ((or @t547 (not @t572)))) % 1.24/1.46 (step @p744 :rule chain_m_resolution :premises (@p743 @p741) :args (@t547 @t441 (@list @t572))) % 1.24/1.46 (step @p745 :rule cnf_or_pos :args (@t549)) % 1.24/1.46 (step @p746 :rule reordering :premises (@p745) :args ((or @t263 @t548 (not @t549)))) % 1.24/1.46 (step @p747 :rule chain_m_resolution :premises (@p746 @p744 @p696) :args (@t263 @t439 (@list @t547 @t549))) % 1.24/1.46 (step @p748 :rule cnf_and_pos :args (@t553 0)) % 1.24/1.46 (step @p749 :rule reordering :premises (@p748) :args ((or @t552 @t556))) % 1.24/1.46 (step @p750 :rule chain_m_resolution :premises (@p749 @p693) :args (@t552 @t441 @t557)) % 1.24/1.46 (step @p751 :rule aci_norm :args ((= (or (or @t41 @t575 @t558) @t99) (or @t41 @t575 @t558 @t99)))) % 1.24/1.46 (step @p752 :rule refl :args (@t99)) % 1.24/1.46 (step @p753 :rule refl :args (@t575)) % 1.24/1.46 (step @p754 :rule nary_cong :premises (@p77 @p753 @p699) :args (@t576)) % 1.24/1.46 (step @p755 :rule aci_norm :args ((= (or @t215 (or @t575 @t558)) @t576))) % 1.24/1.46 (step @p756 :rule trans :premises (@p755 @p754)) % 1.24/1.46 (step @p757 :rule bool-and-de-morgan :args (@t55 @t72 true)) % 1.24/1.46 (step @p758 :rule nary_cong :premises (@p82 @p757) :args ((or @t215 (not (and @t55 @t72))))) % 1.24/1.46 (step @p759 :rule bool-and-de-morgan :args (@t42 @t55 (and @t72))) % 1.24/1.46 (step @p760 :rule trans :premises (@p759 @p758)) % 1.24/1.46 (step @p761 :rule trans :premises (@p760 @p756)) % 1.24/1.46 (step @p762 :rule nary_cong :premises (@p761 @p752) :args ((or (not @t100) @t99))) % 1.24/1.46 (step @p763 :rule trans :premises (@p762 @p751)) % 1.24/1.46 (step @p764 :rule bool-impl-elim :args (@t100 @t99)) % 1.24/1.46 (step @p765 :rule trans :premises (@p764 @p763)) % 1.24/1.46 (step @p766 :rule cong :premises (@p765) :args (@t101)) % 1.24/1.46 (step @p767 :rule eq_resolve :premises (@p30 @p766)) % 1.24/1.46 (step @p768 :rule instantiate :premises (@p767) :args (@t430)) % 1.24/1.46 (step @p769 :rule cnf_and_pos :args (@t566 1)) % 1.24/1.46 (step @p770 :rule reordering :premises (@p769) :args ((or @t565 @t568))) % 1.24/1.46 (step @p771 :rule chain_m_resolution :premises (@p770 @p735) :args (@t565 @t441 @t569)) % 1.24/1.46 (step @p772 :rule cnf_or_pos :args (@t579)) % 1.24/1.46 (step @p773 :rule reordering :premises (@p772) :args ((or @t286 @t448 @t578 @t577 (not @t579)))) % 1.24/1.46 (step @p774 :rule chain_m_resolution :premises (@p773 @p449 @p466 @p771 @p768) :args (@t577 @t434 (@list @t286 @t435 @t565 @t579))) % 1.24/1.46 (step @p775 :rule cnf_and_pos :args (@t577 3)) % 1.24/1.46 (step @p776 :rule reordering :premises (@p775) :args ((or @t550 (not @t577)))) % 1.24/1.46 (step @p777 :rule chain_m_resolution :premises (@p776 @p774) :args (@t550 @t441 (@list @t577))) % 1.24/1.46 (step @p778 :rule cnf_or_pos :args (@t552)) % 1.24/1.46 (step @p779 :rule reordering :premises (@p778) :args ((or @t264 @t551 (not @t552)))) % 1.24/1.46 (step @p780 :rule chain_m_resolution :premises (@p779 @p777 @p750) :args (@t264 @t439 (@list @t550 @t552))) % 1.24/1.46 (step @p781 :rule instantiate :premises (@p689) :args ((@list @t429 @t253 @t257))) % 1.24/1.46 (step @p782 :rule cnf_or_pos :args (@t587)) % 1.24/1.46 (step @p783 :rule reordering :premises (@p782) :args ((or @t281 @t278 @t276 @t274 @t477 @t487 @t488 @t486 @t485 @t586 (not @t587)))) % 1.24/1.46 (step @p784 :rule chain_m_resolution :premises (@p783 @p593 @p591 @p585 @p579 @p555 @p532 @p526 @p491 @p488 @p781) :args (@t586 @t555 (@list @t281 @t277 @t275 @t273 @t477 @t454 @t472 @t453 @t452 @t587))) % 1.24/1.46 (step @p785 :rule cnf_and_pos :args (@t586 0)) % 1.24/1.46 (step @p786 :rule reordering :premises (@p785) :args ((or @t585 @t588))) % 1.24/1.46 (step @p787 :rule chain_m_resolution :premises (@p786 @p784) :args (@t585 @t441 @t589)) % 1.24/1.46 (step @p788 :rule aci_norm :args ((= (or (or @t41 @t591 @t590) @t108) (or @t41 @t591 @t590 @t108)))) % 1.24/1.46 (step @p789 :rule refl :args (@t108)) % 1.24/1.46 (step @p790 :rule refl :args (@t590)) % 1.24/1.46 (step @p791 :rule refl :args (@t591)) % 1.24/1.46 (step @p792 :rule nary_cong :premises (@p77 @p791 @p790) :args (@t592)) % 1.24/1.46 (step @p793 :rule aci_norm :args ((= (or @t215 (or @t591 @t590)) @t592))) % 1.24/1.46 (step @p794 :rule trans :premises (@p793 @p792)) % 1.24/1.46 (step @p795 :rule bool-and-de-morgan :args (@t53 @t70 true)) % 1.24/1.46 (step @p796 :rule nary_cong :premises (@p82 @p795) :args ((or @t215 (not (and @t53 @t70))))) % 1.24/1.46 (step @p797 :rule bool-and-de-morgan :args (@t42 @t53 (and @t70))) % 1.24/1.46 (step @p798 :rule trans :premises (@p797 @p796)) % 1.24/1.46 (step @p799 :rule trans :premises (@p798 @p794)) % 1.24/1.46 (step @p800 :rule nary_cong :premises (@p799 @p789) :args ((or (not @t109) @t108))) % 1.24/1.46 (step @p801 :rule trans :premises (@p800 @p788)) % 1.24/1.46 (step @p802 :rule bool-impl-elim :args (@t109 @t108)) % 1.24/1.46 (step @p803 :rule trans :premises (@p802 @p801)) % 1.24/1.46 (step @p804 :rule cong :premises (@p803) :args (@t110)) % 1.24/1.46 (step @p805 :rule eq_resolve :premises (@p34 @p804)) % 1.24/1.46 (step @p806 :rule instantiate :premises (@p805) :args (@t430)) % 1.24/1.46 (step @p807 :rule cnf_and_pos :args (@t566 3)) % 1.24/1.46 (step @p808 :rule reordering :premises (@p807) :args ((or @t563 @t568))) % 1.24/1.46 (step @p809 :rule chain_m_resolution :premises (@p808 @p735) :args (@t563 @t441 @t569)) % 1.24/1.46 (step @p810 :rule cnf_or_pos :args (@t597)) % 1.24/1.46 (step @p811 :rule reordering :premises (@p810) :args ((or @t286 @t456 @t596 @t595 (not @t597)))) % 1.24/1.46 (step @p812 :rule chain_m_resolution :premises (@p811 @p449 @p482 @p809 @p806) :args (@t595 @t434 (@list @t286 @t436 @t563 @t597))) % 1.24/1.46 (step @p813 :rule cnf_and_pos :args (@t595 3)) % 1.24/1.46 (step @p814 :rule reordering :premises (@p813) :args ((or @t583 (not @t595)))) % 1.24/1.46 (step @p815 :rule chain_m_resolution :premises (@p814 @p812) :args (@t583 @t441 (@list @t595))) % 1.24/1.46 (step @p816 :rule cnf_or_pos :args (@t585)) % 1.24/1.46 (step @p817 :rule reordering :premises (@p816) :args ((or @t262 @t584 (not @t585)))) % 1.24/1.46 (step @p818 :rule chain_m_resolution :premises (@p817 @p815 @p787) :args (@t262 @t439 (@list @t583 @t585))) % 1.24/1.46 (step @p819 :rule cnf_and_pos :args (@t586 2)) % 1.24/1.46 (step @p820 :rule reordering :premises (@p819) :args ((or @t582 @t588))) % 1.24/1.46 (step @p821 :rule chain_m_resolution :premises (@p820 @p784) :args (@t582 @t441 @t589)) % 1.24/1.46 (step @p822 :rule aci_norm :args ((= (or (or @t41 @t598 @t590) @t112) (or @t41 @t598 @t590 @t112)))) % 1.24/1.46 (step @p823 :rule refl :args (@t112)) % 1.24/1.46 (step @p824 :rule refl :args (@t598)) % 1.24/1.46 (step @p825 :rule nary_cong :premises (@p77 @p824 @p790) :args (@t599)) % 1.24/1.46 (step @p826 :rule aci_norm :args ((= (or @t215 (or @t598 @t590)) @t599))) % 1.24/1.46 (step @p827 :rule trans :premises (@p826 @p825)) % 1.24/1.46 (step @p828 :rule bool-and-de-morgan :args (@t52 @t70 true)) % 1.24/1.46 (step @p829 :rule nary_cong :premises (@p82 @p828) :args ((or @t215 (not (and @t52 @t70))))) % 1.24/1.46 (step @p830 :rule bool-and-de-morgan :args (@t42 @t52 (and @t70))) % 1.24/1.46 (step @p831 :rule trans :premises (@p830 @p829)) % 1.24/1.46 (step @p832 :rule trans :premises (@p831 @p827)) % 1.24/1.46 (step @p833 :rule nary_cong :premises (@p832 @p823) :args ((or (not @t113) @t112))) % 1.24/1.46 (step @p834 :rule trans :premises (@p833 @p822)) % 1.24/1.46 (step @p835 :rule bool-impl-elim :args (@t113 @t112)) % 1.24/1.46 (step @p836 :rule trans :premises (@p835 @p834)) % 1.24/1.46 (step @p837 :rule cong :premises (@p836) :args (@t114)) % 1.24/1.46 (step @p838 :rule eq_resolve :premises (@p36 @p837)) % 1.24/1.48 (step @p839 :rule instantiate :premises (@p838) :args (@t430)) % 1.24/1.48 (step @p840 :rule cnf_and_pos :args (@t566 4)) % 1.24/1.48 (step @p841 :rule reordering :premises (@p840) :args ((or @t562 @t568))) % 1.24/1.48 (step @p842 :rule chain_m_resolution :premises (@p841 @p735) :args (@t562 @t441 @t569)) % 1.24/1.48 (step @p843 :rule cnf_or_pos :args (@t602)) % 1.24/1.48 (step @p844 :rule reordering :premises (@p843) :args ((or @t286 @t456 @t601 @t600 (not @t602)))) % 1.24/1.48 (step @p845 :rule chain_m_resolution :premises (@p844 @p449 @p482 @p842 @p839) :args (@t600 @t434 (@list @t286 @t436 @t562 @t602))) % 1.24/1.48 (step @p846 :rule cnf_and_pos :args (@t600 3)) % 1.24/1.48 (step @p847 :rule reordering :premises (@p846) :args ((or @t580 (not @t600)))) % 1.24/1.48 (step @p848 :rule chain_m_resolution :premises (@p847 @p845) :args (@t580 @t441 (@list @t600))) % 1.24/1.48 (step @p849 :rule cnf_or_pos :args (@t582)) % 1.24/1.48 (step @p850 :rule reordering :premises (@p849) :args ((or @t261 @t581 (not @t582)))) % 1.24/1.48 (step @p851 :rule chain_m_resolution :premises (@p850 @p848 @p821) :args (@t261 @t439 (@list @t580 @t582))) % 1.24/1.48 (step @p852 :rule cnf_and_neg :args (@t265)) % 1.24/1.48 (step @p853 false :rule chain_m_resolution :premises (@p852 @p851 @p818 @p780 @p747 @p612 @p596 @p205) :args (false (@list false false false false false false true) (@list @t261 @t262 @t264 @t263 @t260 @t259 @t265))) % 1.24/1.48 ) % 1.24/1.48 % SZS output end Proof % 1.24/1.48 % cvc5 exiting %------------------------------------------------------------------------------