%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT331+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 : n029.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 08:30:20 AM UTC 2026 % Result : Theorem 15.86s 16.32s % Output : Proof 15.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT331+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.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 06:32:47 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 15.86/16.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.86/16.32 --- Run --no-e-matching --full-saturate-quant at 6... % 15.86/16.32 % SZS status Theorem % 15.86/16.32 % SZS output start Proof % 15.86/16.32 ( % 15.86/16.32 (declare-sort $$unsorted 0) % 15.86/16.32 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.v2_binop_1 (-> $$unsorted $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.k1_xboole_0 $$unsorted) % 15.86/16.32 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 15.86/16.32 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.v1_binop_1 (-> $$unsorted $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.u2_lattices (-> $$unsorted $$unsorted)) % 15.86/16.32 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 15.86/16.32 (declare-const tptp.k7_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 15.86/16.32 (declare-const tptp.m1_filter_2 (-> $$unsorted $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.g3_lattices (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.86/16.32 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.u1_lattices (-> $$unsorted $$unsorted)) % 15.86/16.32 (declare-const tptp.k8_filter_0 (-> $$unsorted $$unsorted $$unsorted)) % 15.86/16.32 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 15.86/16.32 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.k1_realset1 (-> $$unsorted $$unsorted $$unsorted)) % 15.86/16.32 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.v3_lattices (-> $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.86/16.32 (declare-const tptp.m1_filter_0 (-> $$unsorted $$unsorted Bool)) % 15.86/16.32 (define @t1 () (@var "D" $$unsorted)) % 15.86/16.32 (define @t2 () (@var "B" $$unsorted)) % 15.86/16.32 (define @t3 () (@var "C" $$unsorted)) % 15.86/16.32 (define @t4 () (@var "A" $$unsorted)) % 15.86/16.32 (define @t5 () (tptp.k8_filter_0 @t4 @t3)) % 15.86/16.32 (define @t6 () (= @t5 (tptp.k8_filter_0 @t2 @t1))) % 15.86/16.32 (define @t7 () (= @t3 @t1)) % 15.86/16.32 (define @t8 () (tptp.u1_lattices @t4)) % 15.86/16.32 (define @t9 () (tptp.u2_lattices @t4)) % 15.86/16.32 (define @t10 () (tptp.u1_struct_0 @t4)) % 15.86/16.32 (define @t11 () (tptp.g3_lattices @t10 @t9 @t8)) % 15.86/16.32 (define @t12 () (= @t11 (tptp.g3_lattices (tptp.u1_struct_0 @t2) (tptp.u2_lattices @t2) (tptp.u1_lattices @t2)))) % 15.86/16.32 (define @t13 () (and @t12 @t7)) % 15.86/16.32 (define @t14 () (=> @t13 @t6)) % 15.86/16.32 (define @t15 () (tptp.m1_filter_2 @t1 @t2)) % 15.86/16.32 (define @t16 () (@list @t1)) % 15.86/16.32 (define @t17 () (forall @t16 (=> @t15 @t14))) % 15.86/16.32 (define @t18 () (tptp.m1_filter_2 @t3 @t4)) % 15.86/16.32 (define @t19 () (=> @t18 @t17)) % 15.86/16.32 (define @t20 () (@list @t3)) % 15.86/16.32 (define @t21 () (forall @t20 @t19)) % 15.86/16.32 (define @t22 () (tptp.l3_lattices @t2)) % 15.86/16.32 (define @t23 () (tptp.v10_lattices @t2)) % 15.86/16.32 (define @t24 () (tptp.v3_struct_0 @t2)) % 15.86/16.32 (define @t25 () (not @t24)) % 15.86/16.32 (define @t26 () (and @t25 @t23 @t22)) % 15.86/16.32 (define @t27 () (=> @t26 @t21)) % 15.86/16.32 (define @t28 () (@list @t2)) % 15.86/16.32 (define @t29 () (forall @t28 @t27)) % 15.86/16.32 (define @t30 () (tptp.l3_lattices @t4)) % 15.86/16.32 (define @t31 () (tptp.v10_lattices @t4)) % 15.86/16.32 (define @t32 () (tptp.v3_struct_0 @t4)) % 15.86/16.32 (define @t33 () (not @t32)) % 15.86/16.32 (define @t34 () (and @t33 @t31 @t30)) % 15.86/16.32 (define @t35 () (=> @t34 @t29)) % 15.86/16.32 (define @t36 () (@list @t4)) % 15.86/16.32 (define @t37 () (forall @t36 @t35)) % 15.86/16.32 (define @t38 () (not @t37)) % 15.86/16.32 (define @t39 () (tptp.v3_lattices @t4)) % 15.86/16.32 (define @t40 () (tptp.r2_hidden @t4 @t2)) % 15.86/16.32 (define @t41 () (@list @t4 @t2)) % 15.86/16.32 (define @t42 () (tptp.v1_funct_1 @t4)) % 15.86/16.32 (define @t43 () (tptp.v1_xboole_0 @t4)) % 15.86/16.32 (define @t44 () (tptp.v9_lattices @t4)) % 15.86/16.32 (define @t45 () (tptp.v8_lattices @t4)) % 15.86/16.32 (define @t46 () (tptp.v7_lattices @t4)) % 15.86/16.32 (define @t47 () (tptp.v6_lattices @t4)) % 15.86/16.32 (define @t48 () (tptp.v5_lattices @t4)) % 15.86/16.32 (define @t49 () (tptp.v4_lattices @t4)) % 15.86/16.32 (define @t50 () (and @t33 @t49 @t48 @t47 @t46 @t45 @t44)) % 15.86/16.32 (define @t51 () (and @t33 @t31)) % 15.86/16.32 (define @t52 () (tptp.k2_zfmisc_1 @t4 @t2)) % 15.86/16.32 (define @t53 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t52))) % 15.86/16.32 (define @t54 () (@list @t4 @t2 @t3)) % 15.86/16.32 (define @t55 () (tptp.v1_relat_1 @t4)) % 15.86/16.32 (define @t56 () (and @t55 @t42 (tptp.v2_funct_1 @t4))) % 15.86/16.32 (define @t57 () (and @t55 @t43 @t42)) % 15.86/16.32 (define @t58 () (@var "E" $$unsorted)) % 15.86/16.32 (define @t59 () (= @t3 (tptp.g3_lattices @t2 @t1 @t58))) % 15.86/16.32 (define @t60 () (tptp.k1_realset1 @t8 @t2)) % 15.86/16.32 (define @t61 () (= @t58 @t60)) % 15.86/16.32 (define @t62 () (tptp.k1_realset1 @t9 @t2)) % 15.86/16.32 (define @t63 () (= @t1 @t62)) % 15.86/16.32 (define @t64 () (tptp.k2_zfmisc_1 @t2 @t2)) % 15.86/16.32 (define @t65 () (tptp.m2_relset_1 @t58 @t64 @t2)) % 15.86/16.32 (define @t66 () (tptp.v1_funct_2 @t58 @t64 @t2)) % 15.86/16.32 (define @t67 () (tptp.v1_funct_1 @t58)) % 15.86/16.32 (define @t68 () (and @t67 @t66 @t65 @t63 @t61 @t59)) % 15.86/16.32 (define @t69 () (@list @t58)) % 15.86/16.32 (define @t70 () (exists @t69 @t68)) % 15.86/16.32 (define @t71 () (tptp.m2_relset_1 @t1 @t64 @t2)) % 15.86/16.32 (define @t72 () (tptp.v1_funct_2 @t1 @t64 @t2)) % 15.86/16.32 (define @t73 () (tptp.v1_funct_1 @t1)) % 15.86/16.32 (define @t74 () (and @t73 @t72 @t71 @t70)) % 15.86/16.32 (define @t75 () (exists @t16 @t74)) % 15.86/16.32 (define @t76 () (tptp.k8_filter_0 @t4 @t2)) % 15.86/16.32 (define @t77 () (= @t3 @t76)) % 15.86/16.32 (define @t78 () (= @t77 @t75)) % 15.86/16.32 (define @t79 () (tptp.l3_lattices @t3)) % 15.86/16.32 (define @t80 () (tptp.v10_lattices @t3)) % 15.86/16.32 (define @t81 () (tptp.v3_struct_0 @t3)) % 15.86/16.32 (define @t82 () (not @t81)) % 15.86/16.32 (define @t83 () (and @t82 @t80 @t79)) % 15.86/16.32 (define @t84 () (=> @t83 @t78)) % 15.86/16.32 (define @t85 () (forall @t20 @t84)) % 15.86/16.32 (define @t86 () (tptp.m1_filter_0 @t2 @t4)) % 15.86/16.32 (define @t87 () (=> @t86 @t85)) % 15.86/16.32 (define @t88 () (forall @t28 @t87)) % 15.86/16.32 (define @t89 () (=> @t34 @t88)) % 15.86/16.32 (define @t90 () (forall @t36 @t89)) % 15.86/16.32 (define @t91 () (tptp.k1_realset1 @t4 @t2)) % 15.86/16.32 (define @t92 () (tptp.g3_lattices @t4 @t2 @t3)) % 15.86/16.32 (define @t93 () (tptp.v3_lattices @t92)) % 15.86/16.32 (define @t94 () (tptp.k2_zfmisc_1 @t4 @t4)) % 15.86/16.32 (define @t95 () (tptp.m1_relset_1 @t3 @t94 @t4)) % 15.86/16.32 (define @t96 () (tptp.v1_funct_2 @t3 @t94 @t4)) % 15.86/16.32 (define @t97 () (tptp.v1_funct_1 @t3)) % 15.86/16.32 (define @t98 () (tptp.m1_relset_1 @t2 @t94 @t4)) % 15.86/16.32 (define @t99 () (tptp.v1_funct_2 @t2 @t94 @t4)) % 15.86/16.32 (define @t100 () (tptp.v1_funct_1 @t2)) % 15.86/16.32 (define @t101 () (and @t100 @t99 @t98 @t97 @t96 @t95)) % 15.86/16.32 (define @t102 () (tptp.k7_relat_1 @t4 @t2)) % 15.86/16.32 (define @t103 () (tptp.v1_relat_1 @t102)) % 15.86/16.32 (define @t104 () (tptp.v10_lattices @t76)) % 15.86/16.32 (define @t105 () (not (tptp.v3_struct_0 @t76))) % 15.86/16.32 (define @t106 () (and @t105 @t104 (tptp.l3_lattices @t76))) % 15.86/16.32 (define @t107 () (and @t33 @t31 @t30 @t86)) % 15.86/16.32 (define @t108 () (forall @t41 (=> @t107 @t106))) % 15.86/16.32 (define @t109 () (tptp.l1_struct_0 @t4)) % 15.86/16.32 (define @t110 () (tptp.l1_lattices @t4)) % 15.86/16.32 (define @t111 () (tptp.l2_lattices @t4)) % 15.86/16.32 (define @t112 () (and @t110 @t111)) % 15.86/16.32 (define @t113 () (forall @t36 (=> @t30 @t112))) % 15.86/16.32 (define @t114 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t10))) % 15.86/16.32 (define @t115 () (tptp.v1_xboole_0 @t2)) % 15.86/16.32 (define @t116 () (not @t115)) % 15.86/16.32 (define @t117 () (tptp.m2_lattice4 @t2 @t4)) % 15.86/16.32 (define @t118 () (tptp.m1_filter_2 @t2 @t4)) % 15.86/16.32 (define @t119 () (tptp.m2_relset_1 @t3 @t4 @t2)) % 15.86/16.32 (define @t120 () (tptp.k2_zfmisc_1 @t10 @t10)) % 15.86/16.32 (define @t121 () (tptp.v1_funct_2 @t8 @t120 @t10)) % 15.86/16.32 (define @t122 () (tptp.v1_funct_1 @t8)) % 15.86/16.32 (define @t123 () (and @t122 @t121 (tptp.m2_relset_1 @t8 @t120 @t10))) % 15.86/16.32 (define @t124 () (forall @t36 (=> @t110 @t123))) % 15.86/16.32 (define @t125 () (tptp.v1_funct_2 @t9 @t120 @t10)) % 15.86/16.32 (define @t126 () (tptp.v1_funct_1 @t9)) % 15.86/16.32 (define @t127 () (and @t126 @t125 (tptp.m2_relset_1 @t9 @t120 @t10))) % 15.86/16.32 (define @t128 () (forall @t36 (=> @t111 @t127))) % 15.86/16.32 (define @t129 () (tptp.m1_relset_1 @t3 @t4 @t2)) % 15.86/16.32 (define @t130 () (tptp.v1_relat_1 @t91)) % 15.86/16.32 (define @t131 () (and @t33 @t109)) % 15.86/16.32 (define @t132 () (tptp.k1_zfmisc_1 @t4)) % 15.86/16.32 (define @t133 () (tptp.v1_partfun1 @t9 @t120 @t10)) % 15.86/16.32 (define @t134 () (tptp.v1_relat_1 @t9)) % 15.86/16.32 (define @t135 () (and @t55 @t42)) % 15.86/16.32 (define @t136 () (not @t43)) % 15.86/16.32 (define @t137 () (tptp.v1_partfun1 @t8 @t120 @t10)) % 15.86/16.32 (define @t138 () (tptp.v1_relat_1 @t8)) % 15.86/16.32 (define @t139 () (@var "F" $$unsorted)) % 15.86/16.32 (define @t140 () (and (= @t4 @t1) (= @t2 @t58) (= @t3 @t139))) % 15.86/16.32 (define @t141 () (= @t92 (tptp.g3_lattices @t1 @t58 @t139))) % 15.86/16.32 (define @t142 () (@list @t1 @t58 @t139)) % 15.86/16.32 (define @t143 () (forall @t142 (=> @t141 @t140))) % 15.86/16.32 (define @t144 () (=> @t101 @t143)) % 15.86/16.32 (define @t145 () (forall @t54 @t144)) % 15.86/16.32 (define @t146 () (tptp.m1_subset_1 @t2 @t132)) % 15.86/16.32 (define @t147 () (forall @t28 (= @t118 @t86))) % 15.86/16.32 (define @t148 () (=> @t34 @t147)) % 15.86/16.32 (define @t149 () (forall @t36 @t148)) % 15.86/16.32 (define @t150 () (tptp.m1_subset_1 @t4 @t2)) % 15.86/16.32 (define @t151 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t3))) % 15.86/16.32 (define @t152 () (@var "BOUND_VARIABLE_7883" $$unsorted)) % 15.86/16.32 (define @t153 () (@var "BOUND_VARIABLE_7881" $$unsorted)) % 15.86/16.32 (define @t154 () (= (tptp.k8_filter_0 @t4 @t152) (tptp.k8_filter_0 @t153 @t152))) % 15.86/16.32 (define @t155 () (not (tptp.m1_filter_2 @t152 @t153))) % 15.86/16.32 (define @t156 () (not (tptp.m1_filter_2 @t152 @t4))) % 15.86/16.32 (define @t157 () (not (= @t11 (tptp.g3_lattices (tptp.u1_struct_0 @t153) (tptp.u2_lattices @t153) (tptp.u1_lattices @t153))))) % 15.86/16.32 (define @t158 () (not (tptp.l3_lattices @t153))) % 15.86/16.32 (define @t159 () (not (tptp.v10_lattices @t153))) % 15.86/16.32 (define @t160 () (tptp.v3_struct_0 @t153)) % 15.86/16.32 (define @t161 () (not @t30)) % 15.86/16.32 (define @t162 () (not @t31)) % 15.86/16.32 (define @t163 () (or @t32 @t162 @t161 @t160 @t159 @t158 @t157 @t156 @t155 @t154)) % 15.86/16.32 (define @t164 () (or @t160 @t159 @t158 @t157 @t156 @t155 @t154)) % 15.86/16.32 (define @t165 () (or @t32 @t162 @t161 @t164)) % 15.86/16.32 (define @t166 () (@list @t4 @t153 @t152)) % 15.86/16.32 (define @t167 () (forall @t166 @t165)) % 15.86/16.32 (define @t168 () (@list @t153 @t152)) % 15.86/16.32 (define @t169 () (forall @t168 @t165)) % 15.86/16.32 (define @t170 () (forall @t168 @t164)) % 15.86/16.32 (define @t171 () (@var "BOUND_VARIABLE_7858" $$unsorted)) % 15.86/16.32 (define @t172 () (or @t32 @t162 @t161 @t170)) % 15.86/16.32 (define @t173 () (= (tptp.k8_filter_0 @t4 @t171) (tptp.k8_filter_0 @t2 @t171))) % 15.86/16.32 (define @t174 () (not (tptp.m1_filter_2 @t171 @t2))) % 15.86/16.32 (define @t175 () (not (tptp.m1_filter_2 @t171 @t4))) % 15.86/16.32 (define @t176 () (not @t12)) % 15.86/16.32 (define @t177 () (not @t22)) % 15.86/16.32 (define @t178 () (not @t23)) % 15.86/16.32 (define @t179 () (or @t24 @t178 @t177 @t176 @t175 @t174 @t173)) % 15.86/16.32 (define @t180 () (@list @t2 @t171)) % 15.86/16.32 (define @t181 () (forall @t180 @t179)) % 15.86/16.32 (define @t182 () (or @t32 @t162 @t161 @t181)) % 15.86/16.32 (define @t183 () (or @t32 @t162 @t161)) % 15.86/16.32 (define @t184 () (not @t33)) % 15.86/16.32 (define @t185 () (or @t184 @t162 @t161)) % 15.86/16.32 (define @t186 () (not @t34)) % 15.86/16.32 (define @t187 () (or @t175 @t174 @t173)) % 15.86/16.32 (define @t188 () (or @t24 @t178 @t177 @t176 @t187)) % 15.86/16.32 (define @t189 () (forall @t180 @t188)) % 15.86/16.32 (define @t190 () (@list @t171)) % 15.86/16.32 (define @t191 () (forall @t190 @t188)) % 15.86/16.32 (define @t192 () (forall @t190 @t187)) % 15.86/16.32 (define @t193 () (@list @t3)) % 15.86/16.32 (define @t194 () (or @t24 @t178 @t177 @t176 @t192)) % 15.86/16.32 (define @t195 () (= @t5 (tptp.k8_filter_0 @t2 @t3))) % 15.86/16.32 (define @t196 () (not (tptp.m1_filter_2 @t3 @t2))) % 15.86/16.32 (define @t197 () (not @t18)) % 15.86/16.32 (define @t198 () (or @t197 @t196 @t195)) % 15.86/16.32 (define @t199 () (forall @t20 @t198)) % 15.86/16.32 (define @t200 () (or @t24 @t178 @t177 @t176 @t199)) % 15.86/16.32 (define @t201 () (or @t176 @t199)) % 15.86/16.32 (define @t202 () (not @t25)) % 15.86/16.32 (define @t203 () (or @t202 @t178 @t177)) % 15.86/16.32 (define @t204 () (or @t176 @t198)) % 15.86/16.32 (define @t205 () (or @t197 @t176 @t196 @t195)) % 15.86/16.32 (define @t206 () (or @t176 @t196 @t195)) % 15.86/16.32 (define @t207 () (or @t196 @t195)) % 15.86/16.32 (define @t208 () (not (= @t3 @t3))) % 15.86/16.32 (define @t209 () (or @t196 @t208 @t195)) % 15.86/16.32 (define @t210 () (not @t7)) % 15.86/16.32 (define @t211 () (not @t15)) % 15.86/16.32 (define @t212 () (or @t210 @t211 @t210 @t6)) % 15.86/16.32 (define @t213 () (or @t211 @t210 @t6)) % 15.86/16.32 (define @t214 () (forall @t16 @t213)) % 15.86/16.32 (define @t215 () (or @t176 @t214)) % 15.86/16.32 (define @t216 () (or @t176 @t213)) % 15.86/16.32 (define @t217 () (or @t211 @t176 @t210 @t6)) % 15.86/16.32 (define @t218 () (or @t176 @t210 @t6)) % 15.86/16.32 (define @t219 () (forall @t166 @t163)) % 15.86/16.32 (define @t220 () (@quantifiers_skolemize @t219 2)) % 15.86/16.32 (define @t221 () (@quantifiers_skolemize @t219 1)) % 15.86/16.32 (define @t222 () (tptp.k8_filter_0 @t221 @t220)) % 15.86/16.32 (define @t223 () (@quantifiers_skolemize @t219 0)) % 15.86/16.32 (define @t224 () (tptp.k8_filter_0 @t223 @t220)) % 15.86/16.32 (define @t225 () (= @t224 @t222)) % 15.86/16.32 (define @t226 () (tptp.m1_filter_2 @t220 @t221)) % 15.86/16.32 (define @t227 () (not @t226)) % 15.86/16.32 (define @t228 () (tptp.m1_filter_2 @t220 @t223)) % 15.86/16.32 (define @t229 () (not @t228)) % 15.86/16.32 (define @t230 () (tptp.u1_lattices @t221)) % 15.86/16.32 (define @t231 () (tptp.u2_lattices @t221)) % 15.86/16.32 (define @t232 () (tptp.u1_struct_0 @t221)) % 15.86/16.32 (define @t233 () (tptp.u1_lattices @t223)) % 15.86/16.32 (define @t234 () (tptp.u2_lattices @t223)) % 15.86/16.32 (define @t235 () (tptp.u1_struct_0 @t223)) % 15.86/16.32 (define @t236 () (= (tptp.g3_lattices @t235 @t234 @t233) (tptp.g3_lattices @t232 @t231 @t230))) % 15.86/16.32 (define @t237 () (not @t236)) % 15.86/16.32 (define @t238 () (tptp.l3_lattices @t221)) % 15.86/16.32 (define @t239 () (not @t238)) % 15.86/16.32 (define @t240 () (tptp.v10_lattices @t221)) % 15.86/16.32 (define @t241 () (not @t240)) % 15.86/16.32 (define @t242 () (tptp.v3_struct_0 @t221)) % 15.86/16.32 (define @t243 () (tptp.l3_lattices @t223)) % 15.86/16.32 (define @t244 () (not @t243)) % 15.86/16.32 (define @t245 () (tptp.v10_lattices @t223)) % 15.86/16.32 (define @t246 () (not @t245)) % 15.86/16.32 (define @t247 () (tptp.v3_struct_0 @t223)) % 15.86/16.32 (define @t248 () (or @t247 @t246 @t244 @t242 @t241 @t239 @t237 @t229 @t227 @t225)) % 15.86/16.32 (define @t249 () (@list true)) % 15.86/16.32 (define @t250 () (@list @t248)) % 15.86/16.32 (define @t251 () (@var "BOUND_VARIABLE_8055" $$unsorted)) % 15.86/16.32 (define @t252 () (tptp.k1_realset1 @t8 @t251)) % 15.86/16.32 (define @t253 () (tptp.k1_realset1 @t9 @t251)) % 15.86/16.32 (define @t254 () (tptp.g3_lattices @t251 @t253 @t252)) % 15.86/16.32 (define @t255 () (@var "BOUND_VARIABLE_8057" $$unsorted)) % 15.86/16.32 (define @t256 () (tptp.k2_zfmisc_1 @t251 @t251)) % 15.86/16.32 (define @t257 () (tptp.m2_relset_1 @t253 @t256 @t251)) % 15.86/16.32 (define @t258 () (tptp.v1_funct_2 @t253 @t256 @t251)) % 15.86/16.32 (define @t259 () (tptp.v1_funct_1 @t253)) % 15.86/16.32 (define @t260 () (tptp.m2_relset_1 @t252 @t256 @t251)) % 15.86/16.32 (define @t261 () (tptp.v1_funct_2 @t252 @t256 @t251)) % 15.86/16.32 (define @t262 () (tptp.v1_funct_1 @t252)) % 15.86/16.32 (define @t263 () (and @t262 @t261 @t260 @t259 @t258 @t257 (= @t254 @t255))) % 15.86/16.32 (define @t264 () (tptp.k8_filter_0 @t4 @t251)) % 15.86/16.32 (define @t265 () (= (= @t264 @t255) @t263)) % 15.86/16.32 (define @t266 () (not (tptp.l3_lattices @t255))) % 15.86/16.32 (define @t267 () (not (tptp.v10_lattices @t255))) % 15.86/16.32 (define @t268 () (tptp.v3_struct_0 @t255)) % 15.86/16.32 (define @t269 () (not (tptp.m1_filter_0 @t251 @t4))) % 15.86/16.32 (define @t270 () (or @t32 @t162 @t161 @t269 @t268 @t267 @t266 @t265)) % 15.86/16.32 (define @t271 () (or @t269 @t268 @t267 @t266 @t265)) % 15.86/16.32 (define @t272 () (or @t32 @t162 @t161 @t271)) % 15.86/16.32 (define @t273 () (@list @t4 @t251 @t255)) % 15.86/16.32 (define @t274 () (forall @t273 @t272)) % 15.86/16.32 (define @t275 () (@list @t251 @t255)) % 15.86/16.32 (define @t276 () (forall @t275 @t272)) % 15.86/16.32 (define @t277 () (forall @t275 @t271)) % 15.86/16.32 (define @t278 () (@var "BOUND_VARIABLE_8029" $$unsorted)) % 15.86/16.32 (define @t279 () (or @t32 @t162 @t161 @t277)) % 15.86/16.32 (define @t280 () (tptp.g3_lattices @t2 @t62 @t60)) % 15.86/16.32 (define @t281 () (tptp.m2_relset_1 @t62 @t64 @t2)) % 15.86/16.32 (define @t282 () (tptp.v1_funct_2 @t62 @t64 @t2)) % 15.86/16.32 (define @t283 () (tptp.v1_funct_1 @t62)) % 15.86/16.32 (define @t284 () (tptp.m2_relset_1 @t60 @t64 @t2)) % 15.86/16.32 (define @t285 () (tptp.v1_funct_2 @t60 @t64 @t2)) % 15.86/16.32 (define @t286 () (tptp.v1_funct_1 @t60)) % 15.86/16.32 (define @t287 () (not (tptp.l3_lattices @t278))) % 15.86/16.32 (define @t288 () (not (tptp.v10_lattices @t278))) % 15.86/16.32 (define @t289 () (tptp.v3_struct_0 @t278)) % 15.86/16.32 (define @t290 () (not @t86)) % 15.86/16.32 (define @t291 () (@list @t2 @t278)) % 15.86/16.33 (define @t292 () (forall @t291 (or @t290 @t289 @t288 @t287 (= (= @t76 @t278) (and @t286 @t285 @t284 @t283 @t282 @t281 (= @t280 @t278)))))) % 15.86/16.33 (define @t293 () (or @t32 @t162 @t161 @t292)) % 15.86/16.33 (define @t294 () (and @t286 @t285 @t284 @t283 @t282 @t281 (= @t278 @t280))) % 15.86/16.33 (define @t295 () (= (= @t278 @t76) @t294)) % 15.86/16.33 (define @t296 () (or @t290 @t289 @t288 @t287 @t295)) % 15.86/16.33 (define @t297 () (or @t289 @t288 @t287 @t295)) % 15.86/16.33 (define @t298 () (or @t290 @t297)) % 15.86/16.33 (define @t299 () (forall @t291 @t298)) % 15.86/16.33 (define @t300 () (@list @t278)) % 15.86/16.33 (define @t301 () (forall @t300 @t298)) % 15.86/16.33 (define @t302 () (forall @t300 @t297)) % 15.86/16.33 (define @t303 () (or @t290 @t302)) % 15.86/16.33 (define @t304 () (= @t3 @t280)) % 15.86/16.33 (define @t305 () (= @t77 (and @t286 @t285 @t284 @t283 @t282 @t281 @t304))) % 15.86/16.33 (define @t306 () (not @t79)) % 15.86/16.33 (define @t307 () (not @t80)) % 15.86/16.33 (define @t308 () (or @t81 @t307 @t306 @t305)) % 15.86/16.33 (define @t309 () (forall @t20 @t308)) % 15.86/16.33 (define @t310 () (not @t304)) % 15.86/16.33 (define @t311 () (not @t310)) % 15.86/16.33 (define @t312 () (not @t281)) % 15.86/16.33 (define @t313 () (not @t312)) % 15.86/16.33 (define @t314 () (not @t282)) % 15.86/16.33 (define @t315 () (not @t314)) % 15.86/16.33 (define @t316 () (not @t283)) % 15.86/16.33 (define @t317 () (not @t316)) % 15.86/16.33 (define @t318 () (not @t284)) % 15.86/16.33 (define @t319 () (not @t318)) % 15.86/16.33 (define @t320 () (not @t285)) % 15.86/16.33 (define @t321 () (not @t320)) % 15.86/16.33 (define @t322 () (not @t286)) % 15.86/16.33 (define @t323 () (not @t322)) % 15.86/16.33 (define @t324 () (and @t323 @t321 @t319 @t317 @t315 @t313 @t311)) % 15.86/16.33 (define @t325 () (or @t316 @t314 @t312 @t310)) % 15.86/16.33 (define @t326 () (or @t322 @t320 @t318 @t316 @t314 @t312 @t310)) % 15.86/16.33 (define @t327 () (= @t77 (not @t326))) % 15.86/16.33 (define @t328 () (not @t82)) % 15.86/16.33 (define @t329 () (or @t328 @t307 @t306)) % 15.86/16.33 (define @t330 () (not (= @t62 @t62))) % 15.86/16.33 (define @t331 () (or @t316 @t314 @t312 @t330 @t310)) % 15.86/16.33 (define @t332 () (not (= @t3 (tptp.g3_lattices @t2 @t1 @t60)))) % 15.86/16.33 (define @t333 () (not @t63)) % 15.86/16.33 (define @t334 () (not @t71)) % 15.86/16.33 (define @t335 () (not @t72)) % 15.86/16.33 (define @t336 () (not @t73)) % 15.86/16.33 (define @t337 () (or @t333 @t336 @t335 @t334 @t333 @t332)) % 15.86/16.33 (define @t338 () (or @t336 @t335 @t334 @t333 @t332)) % 15.86/16.33 (define @t339 () (forall @t16 @t338)) % 15.86/16.33 (define @t340 () (or @t322 @t320 @t318 @t339)) % 15.86/16.33 (define @t341 () (or @t322 @t320 @t318 @t338)) % 15.86/16.33 (define @t342 () (or @t336 @t335 @t334 @t333 @t322 @t320 @t318 @t332)) % 15.86/16.33 (define @t343 () (or @t333 @t322 @t320 @t318 @t332)) % 15.86/16.33 (define @t344 () (not @t343)) % 15.86/16.33 (define @t345 () (not @t344)) % 15.86/16.33 (define @t346 () (or @t336 @t335 @t334 @t345)) % 15.86/16.33 (define @t347 () (and @t73 @t72 @t71 @t344)) % 15.86/16.33 (define @t348 () (forall @t16 (not @t347))) % 15.86/16.33 (define @t349 () (not @t348)) % 15.86/16.33 (define @t350 () (or @t322 @t320 @t318 @t332)) % 15.86/16.33 (define @t351 () (not (= @t60 @t60))) % 15.86/16.33 (define @t352 () (or @t322 @t320 @t318 @t351 @t332)) % 15.86/16.33 (define @t353 () (not @t59)) % 15.86/16.33 (define @t354 () (not @t61)) % 15.86/16.33 (define @t355 () (not @t65)) % 15.86/16.33 (define @t356 () (not @t66)) % 15.86/16.33 (define @t357 () (not @t67)) % 15.86/16.33 (define @t358 () (or @t354 @t357 @t356 @t355 @t354 @t353)) % 15.86/16.33 (define @t359 () (or @t357 @t356 @t355 @t354 @t353)) % 15.86/16.33 (define @t360 () (forall @t69 @t359)) % 15.86/16.33 (define @t361 () (or @t333 @t360)) % 15.86/16.33 (define @t362 () (or @t333 @t359)) % 15.86/16.33 (define @t363 () (or @t357 @t356 @t355 @t333 @t354 @t353)) % 15.86/16.33 (define @t364 () (forall @t69 (not @t68))) % 15.86/16.33 (define @t365 () (not @t364)) % 15.86/16.33 (define @t366 () (tptp.k1_realset1 @t233 @t220)) % 15.86/16.33 (define @t367 () (tptp.k1_realset1 @t234 @t220)) % 15.86/16.33 (define @t368 () (tptp.g3_lattices @t220 @t367 @t366)) % 15.86/16.33 (define @t369 () (= @t224 @t368)) % 15.86/16.33 (define @t370 () (tptp.k2_zfmisc_1 @t220 @t220)) % 15.86/16.33 (define @t371 () (and (tptp.v1_funct_1 @t366) (tptp.v1_funct_2 @t366 @t370 @t220) (tptp.m2_relset_1 @t366 @t370 @t220) (tptp.v1_funct_1 @t367) (tptp.v1_funct_2 @t367 @t370 @t220) (tptp.m2_relset_1 @t367 @t370 @t220) @t369)) % 15.86/16.33 (define @t372 () (= (= @t224 @t224) @t371)) % 15.86/16.33 (define @t373 () (tptp.l3_lattices @t224)) % 15.86/16.33 (define @t374 () (not @t373)) % 15.86/16.33 (define @t375 () (tptp.v10_lattices @t224)) % 15.86/16.33 (define @t376 () (not @t375)) % 15.86/16.33 (define @t377 () (tptp.v3_struct_0 @t224)) % 15.86/16.33 (define @t378 () (tptp.m1_filter_0 @t220 @t223)) % 15.86/16.33 (define @t379 () (not @t378)) % 15.86/16.33 (define @t380 () (or @t247 @t246 @t244 @t379 @t377 @t376 @t374 @t372)) % 15.86/16.33 (define @t381 () (forall @t273 (or @t32 @t162 @t161 @t269 @t268 @t267 @t266 (= (= @t255 @t264) (and @t262 @t261 @t260 @t259 @t258 @t257 (= @t255 @t254)))))) % 15.86/16.33 (define @t382 () (or @t247 @t246 @t244 @t379 @t377 @t376 @t374 @t371)) % 15.86/16.33 (define @t383 () (@list false)) % 15.86/16.33 (define @t384 () (@list @t381)) % 15.86/16.33 (define @t385 () (or @t184 @t162 @t161 @t290)) % 15.86/16.33 (define @t386 () (@list @t223 @t220)) % 15.86/16.33 (define @t387 () (@var "BOUND_VARIABLE_8435" $$unsorted)) % 15.86/16.33 (define @t388 () (= (tptp.m1_filter_0 @t387 @t4) (tptp.m1_filter_2 @t387 @t4))) % 15.86/16.33 (define @t389 () (or @t32 @t162 @t161 @t388)) % 15.86/16.33 (define @t390 () (forall (@list @t4 @t387) @t389)) % 15.86/16.33 (define @t391 () (@list @t387)) % 15.86/16.33 (define @t392 () (forall @t391 @t389)) % 15.86/16.33 (define @t393 () (forall @t391 @t388)) % 15.86/16.33 (define @t394 () (or @t32 @t162 @t161 @t393)) % 15.86/16.33 (define @t395 () (forall @t28 (= @t86 @t118))) % 15.86/16.33 (define @t396 () (or @t32 @t162 @t161 @t395)) % 15.86/16.33 (define @t397 () (or @t247 @t246 @t244 (= @t378 @t228))) % 15.86/16.33 (define @t398 () (= @t228 @t378)) % 15.86/16.33 (define @t399 () (or @t247 @t246 @t244 @t398)) % 15.86/16.33 (define @t400 () (@list @t390)) % 15.86/16.33 (define @t401 () (@list true false false false)) % 15.86/16.33 (define @t402 () (@list false false)) % 15.86/16.33 (define @t403 () (not @t377)) % 15.86/16.33 (define @t404 () (and @t403 @t375 @t373)) % 15.86/16.33 (define @t405 () (or @t247 @t246 @t244 @t379 @t404)) % 15.86/16.33 (define @t406 () (@list true false false false false)) % 15.86/16.33 (define @t407 () (not @t404)) % 15.86/16.33 (define @t408 () (@list @t404)) % 15.86/16.33 (define @t409 () (@list true false false false true false false false)) % 15.86/16.33 (define @t410 () (tptp.k1_realset1 @t230 @t220)) % 15.86/16.33 (define @t411 () (tptp.k1_realset1 @t231 @t220)) % 15.86/16.33 (define @t412 () (= @t222 (tptp.g3_lattices @t220 @t411 @t410))) % 15.86/16.33 (define @t413 () (and (tptp.v1_funct_1 @t410) (tptp.v1_funct_2 @t410 @t370 @t220) (tptp.m2_relset_1 @t410 @t370 @t220) (tptp.v1_funct_1 @t411) (tptp.v1_funct_2 @t411 @t370 @t220) (tptp.m2_relset_1 @t411 @t370 @t220) @t412)) % 15.86/16.33 (define @t414 () (= (= @t222 @t222) @t413)) % 15.86/16.33 (define @t415 () (tptp.l3_lattices @t222)) % 15.86/16.33 (define @t416 () (not @t415)) % 15.86/16.33 (define @t417 () (tptp.v10_lattices @t222)) % 15.86/16.33 (define @t418 () (not @t417)) % 15.86/16.33 (define @t419 () (tptp.v3_struct_0 @t222)) % 15.86/16.33 (define @t420 () (tptp.m1_filter_0 @t220 @t221)) % 15.86/16.33 (define @t421 () (not @t420)) % 15.86/16.33 (define @t422 () (or @t242 @t241 @t239 @t421 @t419 @t418 @t416 @t414)) % 15.86/16.33 (define @t423 () (or @t242 @t241 @t239 @t421 @t419 @t418 @t416 @t413)) % 15.86/16.33 (define @t424 () (@list @t221 @t220)) % 15.86/16.33 (define @t425 () (or @t242 @t241 @t239 (= @t420 @t226))) % 15.86/16.33 (define @t426 () (= @t226 @t420)) % 15.86/16.33 (define @t427 () (or @t242 @t241 @t239 @t426)) % 15.86/16.33 (define @t428 () (not @t419)) % 15.86/16.33 (define @t429 () (and @t428 @t417 @t415)) % 15.86/16.33 (define @t430 () (or @t242 @t241 @t239 @t421 @t429)) % 15.86/16.33 (define @t431 () (not @t429)) % 15.86/16.33 (define @t432 () (@list @t429)) % 15.86/16.33 (define @t433 () (@var "BOUND_VARIABLE_8315" $$unsorted)) % 15.86/16.33 (define @t434 () (@var "BOUND_VARIABLE_8313" $$unsorted)) % 15.86/16.33 (define @t435 () (@var "BOUND_VARIABLE_8311" $$unsorted)) % 15.86/16.33 (define @t436 () (and (= @t4 @t435) (= @t2 @t434) (= @t3 @t433))) % 15.86/16.33 (define @t437 () (not (= @t92 (tptp.g3_lattices @t435 @t434 @t433)))) % 15.86/16.33 (define @t438 () (not @t95)) % 15.86/16.33 (define @t439 () (not @t96)) % 15.86/16.33 (define @t440 () (not @t97)) % 15.86/16.33 (define @t441 () (not @t98)) % 15.86/16.33 (define @t442 () (not @t99)) % 15.86/16.33 (define @t443 () (not @t100)) % 15.86/16.33 (define @t444 () (or @t437 @t436)) % 15.86/16.33 (define @t445 () (or @t443 @t442 @t441 @t440 @t439 @t438 @t444)) % 15.86/16.33 (define @t446 () (forall (@list @t4 @t2 @t3 @t435 @t434 @t433) @t445)) % 15.86/16.33 (define @t447 () (@list @t435 @t434 @t433)) % 15.86/16.33 (define @t448 () (forall @t447 @t445)) % 15.86/16.33 (define @t449 () (forall @t447 @t444)) % 15.86/16.33 (define @t450 () (or @t443 @t442 @t441 @t440 @t439 @t438 @t449)) % 15.86/16.33 (define @t451 () (forall @t142 (or (not @t141) @t140))) % 15.86/16.33 (define @t452 () (or @t443 @t442 @t441 @t440 @t439 @t438 @t451)) % 15.86/16.33 (define @t453 () (or @t443 @t442 @t441 @t440 @t439 @t438)) % 15.86/16.33 (define @t454 () (tptp.k2_zfmisc_1 @t235 @t235)) % 15.86/16.33 (define @t455 () (@list @t223)) % 15.86/16.33 (define @t456 () (tptp.l2_lattices @t223)) % 15.86/16.33 (define @t457 () (tptp.l1_lattices @t223)) % 15.86/16.33 (define @t458 () (and @t457 @t456)) % 15.86/16.33 (define @t459 () (or @t244 @t458)) % 15.86/16.33 (define @t460 () (not @t458)) % 15.86/16.33 (define @t461 () (@list @t458)) % 15.86/16.33 (define @t462 () (tptp.m2_relset_1 @t234 @t454 @t235)) % 15.86/16.33 (define @t463 () (tptp.v1_funct_2 @t234 @t454 @t235)) % 15.86/16.33 (define @t464 () (tptp.v1_funct_1 @t234)) % 15.86/16.33 (define @t465 () (and @t464 @t463 @t462)) % 15.86/16.33 (define @t466 () (not @t456)) % 15.86/16.33 (define @t467 () (or @t466 @t465)) % 15.86/16.33 (define @t468 () (not @t465)) % 15.86/16.33 (define @t469 () (@list @t465)) % 15.86/16.33 (define @t470 () (tptp.m1_relset_1 @t234 @t454 @t235)) % 15.86/16.33 (define @t471 () (= @t462 @t470)) % 15.86/16.33 (define @t472 () (tptp.m2_relset_1 @t233 @t454 @t235)) % 15.86/16.33 (define @t473 () (tptp.v1_funct_2 @t233 @t454 @t235)) % 15.86/16.33 (define @t474 () (tptp.v1_funct_1 @t233)) % 15.86/16.33 (define @t475 () (and @t474 @t473 @t472)) % 15.86/16.33 (define @t476 () (not @t457)) % 15.86/16.33 (define @t477 () (or @t476 @t475)) % 15.86/16.33 (define @t478 () (not @t475)) % 15.86/16.33 (define @t479 () (@list @t475)) % 15.86/16.33 (define @t480 () (tptp.m1_relset_1 @t233 @t454 @t235)) % 15.86/16.33 (define @t481 () (= @t472 @t480)) % 15.86/16.33 (define @t482 () (= @t233 @t230)) % 15.86/16.33 (define @t483 () (= @t234 @t231)) % 15.86/16.33 (define @t484 () (and (= @t235 @t232) @t483 @t482)) % 15.86/16.33 (define @t485 () (not @t480)) % 15.86/16.33 (define @t486 () (not @t473)) % 15.86/16.33 (define @t487 () (not @t474)) % 15.86/16.33 (define @t488 () (not @t470)) % 15.86/16.33 (define @t489 () (not @t463)) % 15.86/16.33 (define @t490 () (not @t464)) % 15.86/16.33 (define @t491 () (or @t490 @t489 @t488 @t487 @t486 @t485 @t237 @t484)) % 15.86/16.33 (define @t492 () (not @t484)) % 15.86/16.33 (define @t493 () (@list @t484)) % 15.86/16.33 (define @t494 () (and @t369 @t412 @t483 @t482)) % 15.86/16.33 (assume @p1 @t38) % 15.86/16.33 (assume @p2 (forall @t36 (=> @t30 (=> @t39 (= @t4 @t11))))) % 15.86/16.33 (assume @p3 (forall @t41 (=> @t40 (not (tptp.r2_hidden @t2 @t4))))) % 15.86/16.33 (assume @p4 (forall @t36 (=> @t43 @t42))) % 15.86/16.33 (assume @p5 (forall @t36 (=> @t30 (=> @t51 @t50)))) % 15.86/16.33 (assume @p6 (forall @t54 (=> @t53 (tptp.v1_relat_1 @t3)))) % 15.86/16.33 (assume @p7 (forall @t36 (=> @t57 @t56))) % 15.86/16.33 (assume @p8 (forall @t36 (=> @t30 (=> @t50 @t51)))) % 15.86/16.33 (assume @p9 @t90) % 15.86/16.33 (assume @p10 (forall @t36 (=> @t55 (forall @t28 (= @t91 (tptp.k7_relat_1 @t4 @t64)))))) % 15.86/16.33 (assume @p11 (forall @t54 (=> @t101 (and @t93 (tptp.l3_lattices @t92))))) % 15.86/16.33 (assume @p12 true) % 15.86/16.33 (assume @p13 (forall @t41 (=> @t55 @t103))) % 15.86/16.33 (assume @p14 @t108) % 15.86/16.33 (assume @p15 (forall @t36 (=> @t110 @t109))) % 15.86/16.33 (assume @p16 (forall @t36 (=> @t111 @t109))) % 15.86/16.33 (assume @p17 @t113) % 15.86/16.33 (assume @p18 (forall @t36 (=> @t34 (forall @t28 (=> @t86 (and @t116 @t114)))))) % 15.86/16.33 (assume @p19 (forall @t36 (=> @t34 (forall @t28 (=> @t118 (and @t116 @t117)))))) % 15.86/16.33 (assume @p20 (forall @t36 (=> @t34 (forall @t28 (=> @t117 @t114))))) % 15.86/16.33 (assume @p21 (forall @t54 (=> @t119 @t53))) % 15.86/16.33 (assume @p22 @t124) % 15.86/16.33 (assume @p23 @t128) % 15.86/16.33 (assume @p24 (exists @t36 @t110)) % 15.86/16.33 (assume @p25 (exists @t36 @t109)) % 15.86/16.33 (assume @p26 (exists @t36 @t111)) % 15.86/16.33 (assume @p27 (exists @t36 @t30)) % 15.86/16.33 (assume @p28 (forall @t36 (=> @t34 (exists @t28 @t86)))) % 15.86/16.33 (assume @p29 (forall @t36 (=> @t34 (exists @t28 @t118)))) % 15.86/16.33 (assume @p30 (forall @t41 (exists @t20 @t129))) % 15.86/16.33 (assume @p31 (forall @t36 (exists @t28 (tptp.m1_subset_1 @t2 @t4)))) % 15.86/16.33 (assume @p32 (forall @t36 (=> @t34 (exists @t28 @t117)))) % 15.86/16.33 (assume @p33 (forall @t41 (exists @t20 @t119))) % 15.86/16.33 (assume @p34 (forall @t41 (=> @t55 @t130))) % 15.86/16.33 (assume @p35 (forall @t36 (=> @t131 (not (tptp.v1_xboole_0 @t10))))) % 15.86/16.33 (assume @p36 (forall @t36 (not (tptp.v1_xboole_0 @t132)))) % 15.86/16.33 (assume @p37 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 15.86/16.33 (assume @p38 (forall @t41 (=> @t107 (and @t105 (tptp.v3_lattices @t76) (tptp.v4_lattices @t76) (tptp.v5_lattices @t76) (tptp.v6_lattices @t76) (tptp.v7_lattices @t76) (tptp.v8_lattices @t76) (tptp.v9_lattices @t76) @t104)))) % 15.86/16.33 (assume @p39 (forall @t36 (=> (and @t33 @t49 @t111) (and @t134 @t126 @t125 (tptp.v1_binop_1 @t9 @t10) @t133)))) % 15.86/16.33 (assume @p40 (forall @t41 (=> @t135 (and @t130 (tptp.v1_funct_1 @t91))))) % 15.86/16.33 (assume @p41 (forall @t36 (=> (and @t33 @t48 @t111) (and @t134 @t126 @t125 (tptp.v2_binop_1 @t9 @t10) @t133)))) % 15.86/16.33 (assume @p42 (forall @t54 (=> (and @t136 @t100 @t99 @t98 @t97 @t96 @t95) (and (not (tptp.v3_struct_0 @t92)) @t93)))) % 15.86/16.33 (assume @p43 (forall @t41 (=> @t135 (and @t103 (tptp.v1_funct_1 @t102))))) % 15.86/16.33 (assume @p44 (forall @t36 (=> (and @t33 @t47 @t110) (and @t138 @t122 @t121 (tptp.v1_binop_1 @t8 @t10) @t137)))) % 15.86/16.33 (assume @p45 (forall @t41 (=> (and @t136 @t116) (not (tptp.v1_xboole_0 @t52))))) % 15.86/16.33 (assume @p46 (forall @t36 (=> (and @t33 @t46 @t110) (and @t138 @t122 @t121 (tptp.v2_binop_1 @t8 @t10) @t137)))) % 15.86/16.33 (assume @p47 @t145) % 15.86/16.33 (assume @p48 (exists @t36 @t135)) % 15.86/16.33 (assume @p49 (forall @t36 (=> @t34 (exists @t28 (and @t117 @t116))))) % 15.86/16.33 (assume @p50 (forall @t36 (=> @t136 (exists @t28 (and @t146 @t116))))) % 15.86/16.33 (assume @p51 (exists @t36 @t43)) % 15.86/16.33 (assume @p52 (exists @t36 @t57)) % 15.86/16.33 (assume @p53 (forall @t36 (exists @t28 (and @t146 @t115)))) % 15.86/16.33 (assume @p54 (exists @t36 @t136)) % 15.86/16.33 (assume @p55 (exists @t36 @t56)) % 15.86/16.33 (assume @p56 (exists @t36 (and @t30 @t39))) % 15.86/16.33 (assume @p57 (exists @t36 (and @t109 @t33))) % 15.86/16.33 (assume @p58 (forall @t36 (=> @t131 (exists @t28 (and @t114 @t116))))) % 15.86/16.33 (assume @p59 (exists @t36 (and @t30 @t33 @t39))) % 15.86/16.33 (assume @p60 (exists @t36 (and @t30 @t33 @t39 @t49 @t48 @t47 @t46 @t45 @t44 @t31))) % 15.86/16.33 (assume @p61 @t149) % 15.86/16.33 (assume @p62 (forall @t54 (= @t119 @t129))) % 15.86/16.33 (assume @p63 (forall @t41 (tptp.r1_tarski @t4 @t4))) % 15.86/16.33 (assume @p64 (forall @t41 (=> @t40 @t150))) % 15.86/16.33 (assume @p65 (forall @t41 (=> @t150 (or @t115 @t40)))) % 15.86/16.33 (assume @p66 (forall @t41 (= (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t2)) (tptp.r1_tarski @t4 @t2)))) % 15.86/16.33 (assume @p67 (forall @t54 (=> (and @t40 @t151) (tptp.m1_subset_1 @t4 @t3)))) % 15.86/16.33 (assume @p68 (forall @t54 (not (and @t40 @t151 (tptp.v1_xboole_0 @t3))))) % 15.86/16.33 (assume @p69 (forall @t36 (=> @t43 (= @t4 tptp.k1_xboole_0)))) % 15.86/16.33 (assume @p70 (forall @t41 (not (and @t40 @t115)))) % 15.86/16.33 (assume @p71 (forall @t41 (not (and @t43 (not (= @t4 @t2)) @t115)))) % 15.86/16.33 (step @p72 :rule aci_norm :args ((= @t165 @t163))) % 15.86/16.33 (step @p73 :rule cong :premises (@p72) :args (@t167)) % 15.86/16.33 (step @p74 :rule quant-merge-prenex :args ((= (forall @t36 @t169) @t167))) % 15.86/16.33 (step @p75 :rule alpha_equiv :args (@t170 (@list @t153 @t152) (@list @t2 @t171))) % 15.86/16.33 (step @p76 :rule refl :args (@t161)) % 15.86/16.33 (step @p77 :rule refl :args (@t162)) % 15.86/16.33 (step @p78 :rule refl :args (@t32)) % 15.86/16.33 (step @p79 :rule nary_cong :premises (@p78 @p77 @p76 @p75) :args (@t172)) % 15.86/16.33 (step @p80 :rule quant-miniscope-or :args ((= @t169 @t172))) % 15.86/16.33 (step @p81 :rule trans :premises (@p80 @p79)) % 15.86/16.33 (step @p82 :rule symm :premises (@p81)) % 15.86/16.33 (step @p83 :rule cong :premises (@p82) :args ((forall @t36 @t182))) % 15.86/16.33 (step @p84 :rule trans :premises (@p83 @p74)) % 15.86/16.33 (step @p85 :rule trans :premises (@p84 @p73)) % 15.86/16.33 (step @p86 :rule aci_norm :args ((= (or @t183 @t181) @t182))) % 15.86/16.33 (step @p87 :rule refl :args (@t181)) % 15.86/16.33 (step @p88 :rule bool-double-not-elim :args (@t32)) % 15.86/16.33 (step @p89 :rule nary_cong :premises (@p88 @p77 @p76) :args (@t185)) % 15.86/16.33 (step @p90 :rule aci_norm :args ((= (or @t184 (or @t162 @t161)) @t185))) % 15.86/16.33 (step @p91 :rule trans :premises (@p90 @p89)) % 15.86/16.33 (step @p92 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 15.86/16.33 (step @p93 :rule refl :args (@t184)) % 15.86/16.33 (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or @t184 (not (and @t31 @t30))))) % 15.86/16.33 (step @p95 :rule bool-and-de-morgan :args (@t33 @t31 (and @t30))) % 15.86/16.33 (step @p96 :rule trans :premises (@p95 @p94)) % 15.86/16.33 (step @p97 :rule trans :premises (@p96 @p91)) % 15.86/16.33 (step @p98 :rule nary_cong :premises (@p97 @p87) :args ((or @t186 @t181))) % 15.86/16.33 (step @p99 :rule trans :premises (@p98 @p86)) % 15.86/16.33 (step @p100 :rule bool-impl-elim :args (@t34 @t181)) % 15.86/16.33 (step @p101 :rule trans :premises (@p100 @p99)) % 15.86/16.33 (step @p102 :rule cong :premises (@p101) :args ((forall @t36 (=> @t34 @t181)))) % 15.86/16.33 (step @p103 :rule trans :premises (@p102 @p85)) % 15.86/16.33 (step @p104 :rule aci_norm :args ((= @t188 @t179))) % 15.86/16.33 (step @p105 :rule cong :premises (@p104) :args (@t189)) % 15.86/16.33 (step @p106 :rule quant-merge-prenex :args ((= (forall @t28 @t191) @t189))) % 15.86/16.33 (step @p107 :rule alpha_equiv :args (@t192 (@list @t171) @t193)) % 15.86/16.33 (step @p108 :rule refl :args (@t176)) % 15.86/16.33 (step @p109 :rule refl :args (@t177)) % 15.86/16.33 (step @p110 :rule refl :args (@t178)) % 15.86/16.33 (step @p111 :rule refl :args (@t24)) % 15.86/16.33 (step @p112 :rule nary_cong :premises (@p111 @p110 @p109 @p108 @p107) :args (@t194)) % 15.86/16.33 (step @p113 :rule quant-miniscope-or :args ((= @t191 @t194))) % 15.86/16.33 (step @p114 :rule trans :premises (@p113 @p112)) % 15.86/16.33 (step @p115 :rule symm :premises (@p114)) % 15.86/16.33 (step @p116 :rule cong :premises (@p115) :args ((forall @t28 @t200))) % 15.86/16.33 (step @p117 :rule trans :premises (@p116 @p106)) % 15.86/16.33 (step @p118 :rule trans :premises (@p117 @p105)) % 15.86/16.33 (step @p119 :rule aci_norm :args ((= (or (or @t24 @t178 @t177) @t201) @t200))) % 15.86/16.33 (step @p120 :rule refl :args (@t201)) % 15.86/16.33 (step @p121 :rule bool-double-not-elim :args (@t24)) % 15.86/16.33 (step @p122 :rule nary_cong :premises (@p121 @p110 @p109) :args (@t203)) % 15.86/16.33 (step @p123 :rule aci_norm :args ((= (or @t202 (or @t178 @t177)) @t203))) % 15.86/16.33 (step @p124 :rule trans :premises (@p123 @p122)) % 15.86/16.33 (step @p125 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 15.86/16.33 (step @p126 :rule refl :args (@t202)) % 15.86/16.33 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t202 (not (and @t23 @t22))))) % 15.86/16.33 (step @p128 :rule bool-and-de-morgan :args (@t25 @t23 (and @t22))) % 15.86/16.33 (step @p129 :rule trans :premises (@p128 @p127)) % 15.86/16.33 (step @p130 :rule trans :premises (@p129 @p124)) % 15.86/16.33 (step @p131 :rule nary_cong :premises (@p130 @p120) :args ((or (not @t26) @t201))) % 15.86/16.33 (step @p132 :rule trans :premises (@p131 @p119)) % 15.86/16.33 (step @p133 :rule bool-impl-elim :args (@t26 @t201)) % 15.86/16.33 (step @p134 :rule trans :premises (@p133 @p132)) % 15.86/16.33 (step @p135 :rule cong :premises (@p134) :args ((forall @t28 (=> @t26 @t201)))) % 15.86/16.33 (step @p136 :rule trans :premises (@p135 @p118)) % 15.86/16.33 (step @p137 :rule quant-miniscope-or :args ((= (forall @t20 @t204) @t201))) % 15.86/16.33 (step @p138 :rule aci_norm :args ((= @t205 @t204))) % 15.86/16.33 (step @p139 :rule cong :premises (@p138) :args ((forall @t20 @t205))) % 15.86/16.33 (step @p140 :rule trans :premises (@p139 @p137)) % 15.86/16.33 (step @p141 :rule aci_norm :args ((= (or @t197 @t206) @t205))) % 15.86/16.33 (step @p142 :rule bool-impl-elim :args (@t18 @t206)) % 15.86/16.33 (step @p143 :rule trans :premises (@p142 @p141)) % 15.86/16.33 (step @p144 :rule cong :premises (@p143) :args ((forall @t20 (=> @t18 @t206)))) % 15.86/16.33 (step @p145 :rule trans :premises (@p144 @p140)) % 15.86/16.33 (step @p146 :rule aci_norm :args ((= (or @t176 @t207) @t206))) % 15.86/16.33 (step @p147 :rule aci_norm :args ((= (or @t196 false @t195) @t207))) % 15.86/16.33 (step @p148 :rule refl :args (@t195)) % 15.86/16.33 (step @p149 :rule evaluate :args ((not true))) % 15.86/16.33 (step @p150 :rule eq-refl :args (@t3)) % 15.86/16.33 (step @p151 :rule cong :premises (@p150) :args (@t208)) % 15.86/16.33 (step @p152 :rule trans :premises (@p151 @p149)) % 15.86/16.33 (step @p153 :rule refl :args (@t196)) % 15.86/16.33 (step @p154 :rule nary_cong :premises (@p153 @p152 @p148) :args (@t209)) % 15.86/16.33 (step @p155 :rule trans :premises (@p154 @p147)) % 15.86/16.33 (step @p156 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not (= @t1 @t3)) @t211 @t210 @t6)) @t209))) % 15.86/16.33 (step @p157 :rule refl :args (@t6)) % 15.86/16.33 (step @p158 :rule refl :args (@t210)) % 15.86/16.33 (step @p159 :rule refl :args (@t211)) % 15.86/16.33 (step @p160 :rule eq-symm :args (@t3 @t1)) % 15.86/16.33 (step @p161 :rule cong :premises (@p160) :args (@t210)) % 15.86/16.33 (step @p162 :rule nary_cong :premises (@p161 @p159 @p158 @p157) :args (@t212)) % 15.86/16.33 (step @p163 :rule aci_norm :args ((= @t213 @t212))) % 15.86/16.33 (step @p164 :rule trans :premises (@p163 @p162)) % 15.86/16.33 (step @p165 :rule cong :premises (@p164) :args (@t214)) % 15.86/16.33 (step @p166 :rule trans :premises (@p165 @p156)) % 15.86/16.33 (step @p167 :rule trans :premises (@p166 @p155)) % 15.86/16.33 (step @p168 :rule refl :args (@t176)) % 15.86/16.33 (step @p169 :rule nary_cong :premises (@p168 @p167) :args (@t215)) % 15.86/16.33 (step @p170 :rule trans :premises (@p169 @p146)) % 15.86/16.33 (step @p171 :rule quant-miniscope-or :args ((= (forall @t16 @t216) @t215))) % 15.86/16.33 (step @p172 :rule aci_norm :args ((= @t217 @t216))) % 15.86/16.33 (step @p173 :rule cong :premises (@p172) :args ((forall @t16 @t217))) % 15.86/16.33 (step @p174 :rule trans :premises (@p173 @p171)) % 15.86/16.33 (step @p175 :rule trans :premises (@p174 @p170)) % 15.86/16.33 (step @p176 :rule aci_norm :args ((= (or @t211 @t218) @t217))) % 15.86/16.33 (step @p177 :rule aci_norm :args ((= (or (or @t176 @t210) @t6) @t218))) % 15.86/16.33 (step @p178 :rule bool-and-de-morgan :args (@t12 @t7 true)) % 15.86/16.33 (step @p179 :rule nary_cong :premises (@p178 @p157) :args ((or (not @t13) @t6))) % 15.86/16.33 (step @p180 :rule trans :premises (@p179 @p177)) % 15.86/16.33 (step @p181 :rule bool-impl-elim :args (@t13 @t6)) % 15.86/16.33 (step @p182 :rule trans :premises (@p181 @p180)) % 15.86/16.33 (step @p183 :rule nary_cong :premises (@p159 @p182) :args ((or @t211 @t14))) % 15.86/16.33 (step @p184 :rule trans :premises (@p183 @p176)) % 15.86/16.33 (step @p185 :rule bool-impl-elim :args (@t15 @t14)) % 15.86/16.33 (step @p186 :rule trans :premises 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:premises (@p518 @p596) :args ((or @t248 (not @t239)))) % 15.86/16.33 (step @p598 :rule cnf_or_neg :args (@t248 5)) % 15.86/16.33 (step @p599 :rule eq_resolve :premises (@p598 @p597)) % 15.86/16.33 (step @p600 :rule reordering :premises (@p599) :args ((or @t238 @t248))) % 15.86/16.33 (step @p601 :rule chain_m_resolution :premises (@p600 @p203) :args (@t238 @t249 @t250)) % 15.86/16.33 (step @p602 :rule bool-double-not-elim :args (@t240)) % 15.86/16.33 (step @p603 :rule nary_cong :premises (@p518 @p602) :args ((or @t248 (not @t241)))) % 15.86/16.33 (step @p604 :rule cnf_or_neg :args (@t248 4)) % 15.86/16.33 (step @p605 :rule eq_resolve :premises (@p604 @p603)) % 15.86/16.33 (step @p606 :rule reordering :premises (@p605) :args ((or @t240 @t248))) % 15.86/16.33 (step @p607 :rule chain_m_resolution :premises (@p606 @p203) :args (@t240 @t249 @t250)) % 15.86/16.33 (step @p608 :rule cnf_or_neg :args (@t248 3)) % 15.86/16.33 (step @p609 :rule chain_m_resolution :premises (@p608 @p203) :args ((not @t242) @t249 @t250)) % 15.86/16.33 (step @p610 :rule cnf_or_pos :args (@t427)) % 15.86/16.33 (step @p611 :rule reordering :premises (@p610) :args ((or @t242 @t241 @t239 @t426 (not @t427)))) % 15.86/16.33 (step @p612 :rule chain_m_resolution :premises (@p611 @p609 @p607 @p601 @p595) :args (@t426 @t401 (@list @t242 @t240 @t238 @t427))) % 15.86/16.33 (step @p613 :rule bool-double-not-elim :args (@t226)) % 15.86/16.33 (step @p614 :rule nary_cong :premises (@p518 @p613) :args ((or @t248 (not @t227)))) % 15.86/16.33 (step @p615 :rule cnf_or_neg :args (@t248 8)) % 15.86/16.33 (step @p616 :rule eq_resolve :premises (@p615 @p614)) % 15.86/16.33 (step @p617 :rule reordering :premises (@p616) :args ((or @t226 @t248))) % 15.86/16.33 (step @p618 :rule chain_m_resolution :premises (@p617 @p203) :args (@t226 @t249 @t250)) % 15.86/16.33 (step @p619 :rule cnf_equiv_pos1 :args (@t426)) % 15.86/16.33 (step @p620 :rule reordering :premises (@p619) :args ((or @t227 @t420 (not @t426)))) % 15.86/16.33 (step @p621 :rule chain_m_resolution :premises (@p620 @p618 @p612) :args (@t420 @t402 (@list @t226 @t426))) % 15.86/16.33 (step @p622 :rule cnf_or_pos :args (@t430)) % 15.86/16.33 (step @p623 :rule reordering :premises (@p622) :args ((or @t242 @t241 @t239 @t421 @t429 (not @t430)))) % 15.86/16.33 (step @p624 :rule chain_m_resolution :premises (@p623 @p609 @p607 @p601 @p621 @p585) :args (@t429 @t406 (@list @t242 @t240 @t238 @t420 @t430))) % 15.86/16.33 (step @p625 :rule cnf_and_pos :args (@t429 2)) % 15.86/16.33 (step @p626 :rule reordering :premises (@p625) :args ((or @t415 @t431))) % 15.86/16.33 (step @p627 :rule chain_m_resolution :premises (@p626 @p624) :args (@t415 @t383 @t432)) % 15.86/16.33 (step @p628 :rule cnf_and_pos :args (@t429 1)) % 15.86/16.33 (step @p629 :rule reordering :premises (@p628) :args ((or @t417 @t431))) % 15.86/16.33 (step @p630 :rule chain_m_resolution :premises (@p629 @p624) :args (@t417 @t383 @t432)) % 15.86/16.33 (step @p631 :rule cnf_and_pos :args (@t429 0)) % 15.86/16.33 (step @p632 :rule reordering :premises (@p631) :args ((or @t428 @t431))) % 15.86/16.33 (step @p633 :rule chain_m_resolution :premises (@p632 @p624) :args (@t428 @t383 @t432)) % 15.86/16.33 (step @p634 :rule cnf_or_pos :args (@t423)) % 15.86/16.33 (step @p635 :rule reordering :premises (@p634) :args ((or @t242 @t241 @t239 @t421 @t419 @t418 @t416 @t413 (not @t423)))) % 15.86/16.33 (step @p636 :rule chain_m_resolution :premises (@p635 @p609 @p607 @p601 @p621 @p633 @p630 @p627 @p584) :args (@t413 @t409 (@list @t242 @t240 @t238 @t420 @t419 @t417 @t415 @t423))) % 15.86/16.33 (step @p637 :rule cnf_and_pos :args (@t413 6)) % 15.86/16.33 (step @p638 :rule reordering :premises (@p637) :args ((or @t412 (not @t413)))) % 15.86/16.33 (step @p639 :rule chain_m_resolution :premises (@p638 @p636) :args (@t412 @t383 (@list @t413))) % 15.86/16.33 (step @p640 :rule aci_norm :args ((= @t445 (or @t443 @t442 @t441 @t440 @t439 @t438 @t437 @t436)))) % 15.86/16.33 (step @p641 :rule cong :premises (@p640) :args (@t446)) % 15.86/16.33 (step @p642 :rule quant-merge-prenex :args ((= (forall @t54 @t448) @t446))) % 15.86/16.33 (step @p643 :rule alpha_equiv :args (@t449 (@list @t435 @t434 @t433) (@list @t1 @t58 @t139))) % 15.86/16.33 (step @p644 :rule refl :args (@t438)) % 15.86/16.33 (step @p645 :rule refl :args (@t439)) % 15.86/16.33 (step @p646 :rule refl :args (@t440)) % 15.86/16.33 (step @p647 :rule refl :args (@t441)) % 15.86/16.33 (step @p648 :rule refl :args (@t442)) % 15.86/16.33 (step @p649 :rule refl :args (@t443)) % 15.86/16.33 (step @p650 :rule nary_cong :premises (@p649 @p648 @p647 @p646 @p645 @p644 @p643) :args (@t450)) % 15.86/16.33 (step @p651 :rule quant-miniscope-or :args ((= @t448 @t450))) % 15.86/16.33 (step @p652 :rule trans :premises (@p651 @p650)) % 15.86/16.33 (step @p653 :rule symm :premises (@p652)) % 15.86/16.33 (step @p654 :rule cong :premises (@p653) :args ((forall @t54 @t452))) % 15.86/16.33 (step @p655 :rule trans :premises (@p654 @p642)) % 15.86/16.33 (step @p656 :rule trans :premises (@p655 @p641)) % 15.86/16.33 (step @p657 :rule aci_norm :args ((= (or @t453 @t451) @t452))) % 15.86/16.33 (step @p658 :rule refl :args (@t451)) % 15.86/16.33 (step @p659 :rule aci_norm :args ((= (or @t443 (or @t442 (or @t441 (or @t440 (or @t439 @t438))))) @t453))) % 15.86/16.33 (step @p660 :rule bool-and-de-morgan :args (@t96 @t95 true)) % 15.86/16.33 (step @p661 :rule nary_cong :premises (@p646 @p660) :args ((or @t440 (not (and @t96 @t95))))) % 15.86/16.33 (step @p662 :rule bool-and-de-morgan :args (@t97 @t96 (and @t95))) % 15.86/16.33 (step @p663 :rule trans :premises (@p662 @p661)) % 15.86/16.33 (step @p664 :rule nary_cong :premises (@p647 @p663) :args ((or @t441 (not (and @t97 @t96 @t95))))) % 15.86/16.33 (step @p665 :rule bool-and-de-morgan :args (@t98 @t97 (and @t96 @t95))) % 15.86/16.33 (step @p666 :rule trans :premises (@p665 @p664)) % 15.86/16.33 (step @p667 :rule nary_cong :premises (@p648 @p666) :args ((or @t442 (not (and @t98 @t97 @t96 @t95))))) % 15.86/16.33 (step @p668 :rule bool-and-de-morgan :args (@t99 @t98 (and @t97 @t96 @t95))) % 15.86/16.33 (step @p669 :rule trans :premises (@p668 @p667)) % 15.86/16.33 (step @p670 :rule nary_cong :premises (@p649 @p669) :args ((or @t443 (not (and @t99 @t98 @t97 @t96 @t95))))) % 15.86/16.33 (step @p671 :rule bool-and-de-morgan :args (@t100 @t99 (and @t98 @t97 @t96 @t95))) % 15.86/16.33 (step @p672 :rule trans :premises (@p671 @p670)) % 15.86/16.33 (step @p673 :rule trans :premises (@p672 @p659)) % 15.86/16.33 (step @p674 :rule nary_cong :premises (@p673 @p658) :args ((or (not @t101) @t451))) % 15.86/16.33 (step @p675 :rule trans :premises (@p674 @p657)) % 15.86/16.33 (step @p676 :rule bool-impl-elim :args (@t101 @t451)) % 15.86/16.33 (step @p677 :rule trans :premises (@p676 @p675)) % 15.86/16.33 (step @p678 :rule cong :premises (@p677) :args ((forall @t54 (=> @t101 @t451)))) % 15.86/16.33 (step @p679 :rule trans :premises (@p678 @p656)) % 15.86/16.33 (step @p680 :rule bool-impl-elim :args (@t141 @t140)) % 15.86/16.33 (step @p681 :rule cong :premises (@p680) :args (@t143)) % 15.86/16.33 (step @p682 :rule refl :args (@t101)) % 15.86/16.33 (step @p683 :rule cong :premises (@p682 @p681) :args (@t144)) % 15.86/16.33 (step @p684 :rule cong :premises (@p683) :args (@t145)) % 15.86/16.33 (step @p685 :rule trans :premises (@p684 @p679)) % 15.86/16.33 (step @p686 :rule eq_resolve :premises (@p47 @p685)) % 15.86/16.33 (step @p687 :rule instantiate :premises (@p686) :args ((@list @t235 @t234 @t233 @t232 @t231 @t230))) % 15.86/16.33 (step @p688 :rule instantiate :premises (@p62) :args ((@list @t454 @t235 @t234))) % 15.86/16.33 (step @p689 :rule bool-impl-elim :args (@t111 @t127)) % 15.86/16.33 (step @p690 :rule cong :premises (@p689) :args (@t128)) % 15.86/16.33 (step @p691 :rule eq_resolve :premises (@p23 @p690)) % 15.86/16.33 (step @p692 :rule instantiate :premises (@p691) :args (@t455)) % 15.86/16.33 (step @p693 :rule bool-impl-elim :args (@t30 @t112)) % 15.86/16.33 (step @p694 :rule cong :premises (@p693) :args (@t113)) % 15.86/16.33 (step @p695 :rule eq_resolve :premises (@p17 @p694)) % 15.86/16.33 (step @p696 :rule instantiate :premises (@p695) :args (@t455)) % 15.86/16.33 (step @p697 :rule cnf_or_pos :args (@t459)) % 15.86/16.33 (step @p698 :rule reordering :premises (@p697) :args ((or @t244 @t458 (not @t459)))) % 15.86/16.33 (step @p699 :rule chain_m_resolution :premises (@p698 @p523 @p696) :args (@t458 @t402 (@list @t243 @t459))) % 15.86/16.33 (step @p700 :rule cnf_and_pos :args (@t458 1)) % 15.86/16.33 (step @p701 :rule reordering :premises (@p700) :args ((or @t456 @t460))) % 15.86/16.33 (step @p702 :rule chain_m_resolution :premises (@p701 @p699) :args (@t456 @t383 @t461)) % 15.86/16.33 (step @p703 :rule cnf_or_pos :args (@t467)) % 15.86/16.33 (step @p704 :rule reordering :premises (@p703) :args ((or @t466 @t465 (not @t467)))) % 15.86/16.33 (step @p705 :rule chain_m_resolution :premises (@p704 @p702 @p692) :args (@t465 @t402 (@list @t456 @t467))) % 15.86/16.33 (step @p706 :rule cnf_and_pos :args (@t465 2)) % 15.86/16.33 (step @p707 :rule reordering :premises (@p706) :args ((or @t462 @t468))) % 15.86/16.33 (step @p708 :rule chain_m_resolution :premises (@p707 @p705) :args (@t462 @t383 @t469)) % 15.86/16.33 (step @p709 :rule cnf_equiv_pos1 :args (@t471)) % 15.86/16.33 (step @p710 :rule reordering :premises (@p709) :args ((or (not @t462) @t470 (not @t471)))) % 15.86/16.33 (step @p711 :rule chain_m_resolution :premises (@p710 @p708 @p688) :args (@t470 @t402 (@list @t462 @t471))) % 15.86/16.33 (step @p712 :rule instantiate :premises (@p62) :args ((@list @t454 @t235 @t233))) % 15.86/16.33 (step @p713 :rule bool-impl-elim :args (@t110 @t123)) % 15.86/16.33 (step @p714 :rule cong :premises (@p713) :args (@t124)) % 15.86/16.33 (step @p715 :rule eq_resolve :premises (@p22 @p714)) % 15.86/16.33 (step @p716 :rule instantiate :premises (@p715) :args (@t455)) % 15.86/16.33 (step @p717 :rule cnf_and_pos :args (@t458 0)) % 15.86/16.33 (step @p718 :rule reordering :premises (@p717) :args ((or @t457 @t460))) % 15.86/16.33 (step @p719 :rule chain_m_resolution :premises (@p718 @p699) :args (@t457 @t383 @t461)) % 15.86/16.33 (step @p720 :rule cnf_or_pos :args (@t477)) % 15.86/16.33 (step @p721 :rule reordering :premises (@p720) :args ((or @t476 @t475 (not @t477)))) % 15.86/16.33 (step @p722 :rule chain_m_resolution :premises (@p721 @p719 @p716) :args (@t475 @t402 (@list @t457 @t477))) % 15.86/16.33 (step @p723 :rule cnf_and_pos :args (@t475 2)) % 15.86/16.33 (step @p724 :rule reordering :premises (@p723) :args ((or @t472 @t478))) % 15.86/16.33 (step @p725 :rule chain_m_resolution :premises (@p724 @p722) :args (@t472 @t383 @t479)) % 15.86/16.33 (step @p726 :rule cnf_equiv_pos1 :args (@t481)) % 15.86/16.33 (step @p727 :rule reordering :premises (@p726) :args ((or (not @t472) @t480 (not @t481)))) % 15.86/16.33 (step @p728 :rule chain_m_resolution :premises (@p727 @p725 @p712) :args (@t480 @t402 (@list @t472 @t481))) % 15.86/16.33 (step @p729 :rule cnf_and_pos :args (@t465 1)) % 15.86/16.33 (step @p730 :rule reordering :premises (@p729) :args ((or @t463 @t468))) % 15.86/16.33 (step @p731 :rule chain_m_resolution :premises (@p730 @p705) :args (@t463 @t383 @t469)) % 15.86/16.33 (step @p732 :rule cnf_and_pos :args (@t465 0)) % 15.86/16.33 (step @p733 :rule reordering :premises (@p732) :args ((or @t464 @t468))) % 15.86/16.33 (step @p734 :rule chain_m_resolution :premises (@p733 @p705) :args (@t464 @t383 @t469)) % 15.86/16.33 (step @p735 :rule cnf_and_pos :args (@t475 1)) % 15.86/16.33 (step @p736 :rule reordering :premises (@p735) :args ((or @t473 @t478))) % 15.86/16.33 (step @p737 :rule chain_m_resolution :premises (@p736 @p722) :args (@t473 @t383 @t479)) % 15.86/16.33 (step @p738 :rule cnf_and_pos :args (@t475 0)) % 15.86/16.33 (step @p739 :rule reordering :premises (@p738) :args ((or @t474 @t478))) % 15.86/16.33 (step @p740 :rule chain_m_resolution :premises (@p739 @p722) :args (@t474 @t383 @t479)) % 15.86/16.33 (step @p741 :rule bool-double-not-elim :args (@t236)) % 15.86/16.33 (step @p742 :rule nary_cong :premises (@p518 @p741) :args ((or @t248 (not @t237)))) % 15.86/16.33 (step @p743 :rule cnf_or_neg :args (@t248 6)) % 15.86/16.33 (step @p744 :rule eq_resolve :premises (@p743 @p742)) % 15.86/16.33 (step @p745 :rule reordering :premises (@p744) :args ((or @t236 @t248))) % 15.86/16.33 (step @p746 :rule chain_m_resolution :premises (@p745 @p203) :args (@t236 @t249 @t250)) % 15.86/16.33 (step @p747 :rule cnf_or_pos :args (@t491)) % 15.86/16.33 (step @p748 :rule reordering :premises (@p747) :args ((or @t237 @t487 @t486 @t490 @t489 @t485 @t488 @t484 (not @t491)))) % 15.86/16.33 (step @p749 :rule chain_m_resolution :premises (@p748 @p746 @p740 @p737 @p734 @p731 @p728 @p711 @p687) :args (@t484 (@list false false false false false false false false) (@list @t236 @t474 @t473 @t464 @t463 @t480 @t470 @t491))) % 15.86/16.33 (step @p750 :rule cnf_and_pos :args (@t484 1)) % 15.86/16.33 (step @p751 :rule reordering :premises (@p750) :args ((or @t483 @t492))) % 15.86/16.33 (step @p752 :rule chain_m_resolution :premises (@p751 @p749) :args (@t483 @t383 @t493)) % 15.86/16.33 (step @p753 :rule cnf_and_pos :args (@t484 2)) % 15.86/16.33 (step @p754 :rule reordering :premises (@p753) :args ((or @t482 @t492))) % 15.86/16.33 (step @p755 :rule chain_m_resolution :premises (@p754 @p749) :args (@t482 @t383 @t493)) % 15.86/16.33 (assume-push @p784 @t369) % 15.86/16.33 (assume-push @p785 @t412) % 15.86/16.33 (assume-push @p786 @t483) % 15.86/16.33 (assume-push @p787 @t482) % 15.86/16.33 (step @p760 :rule symm :premises (@p639)) % 15.86/16.33 (step @p761 :rule refl :args (@t220)) % 15.86/16.33 (step @p762 :rule cong :premises (@p755 @p761) :args (@t366)) % 15.86/16.33 (step @p763 :rule cong :premises (@p752 @p761) :args (@t367)) % 15.86/16.33 (step @p764 :rule cong :premises (@p761 @p763 @p762) :args (@t368)) % 15.86/16.33 (step @p765 :rule trans :premises (@p561 @p764 @p760)) % 15.86/16.33 (step-pop @p788 :rule scope :premises (@p765)) % 15.86/16.33 (step-pop @p789 :rule scope :premises (@p788)) % 15.86/16.33 (step-pop @p790 :rule scope :premises (@p789)) % 15.86/16.33 (step-pop @p791 :rule scope :premises (@p790)) % 15.86/16.33 (step @p766 :rule process_scope :premises (@p791) :args (@t225)) % 15.86/16.33 (step @p771 :rule implies_elim :premises (@p766)) % 15.86/16.33 (step @p772 :rule cnf_and_neg :args (@t494)) % 15.86/16.33 (step @p773 :rule resolution :premises (@p772 @p771) :args (true @t494)) % 15.86/16.33 (step @p774 :rule reordering :premises (@p773) :args ((or @t225 (not @t369) (not @t412) (not @t483) (not @t482)))) % 15.86/16.33 (step @p775 false :rule chain_m_resolution :premises (@p774 @p755 @p752 @p639 @p561 @p205) :args (false (@list false false false false true) (@list @t482 @t483 @t412 @t369 @t225))) % 15.86/16.33 ) % 15.86/16.33 % SZS output end Proof % 15.86/16.33 % cvc5 exiting %------------------------------------------------------------------------------