%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT288+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 : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:30:07 AM UTC 2026 % Result : Theorem 0.43s 0.67s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT288+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n007.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 06:09:26 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.43/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.43/0.67 % SZS status Theorem % 0.43/0.67 % SZS output start Proof % 0.43/0.67 ( % 0.43/0.67 (declare-sort $$unsorted 0) % 0.43/0.67 (declare-const tptp.v1_filter_0 (-> $$unsorted $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.l2_lattices (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.l1_lattices (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.43/0.67 (declare-const tptp.a_1_1_lopclset (-> $$unsorted $$unsorted)) % 0.43/0.67 (declare-const tptp.v12_lattices (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v11_lattices (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v4_lattices (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v5_lattices (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v6_lattices (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v7_lattices (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v4_finsub_1 (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v10_lattices (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v1_finsub_1 (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v17_lattices (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v3_finsub_1 (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.l3_lattices (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.43/0.67 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.a_2_0_lopclset (-> $$unsorted $$unsorted $$unsorted)) % 0.43/0.67 (declare-const tptp.v3_realset2 (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v13_lattices (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.k7_lopclset (-> $$unsorted $$unsorted)) % 0.43/0.67 (declare-const tptp.v15_lattices (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v14_lattices (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.m1_filter_0 (-> $$unsorted $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v16_lattices (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v9_lattices (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.43/0.67 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.43/0.67 (declare-const tptp.v8_lattices (-> $$unsorted Bool)) % 0.43/0.67 (define @t1 () (@var "A" $$unsorted)) % 0.43/0.67 (define @t2 () (tptp.k7_lopclset @t1)) % 0.43/0.67 (define @t3 () (@var "B" $$unsorted)) % 0.43/0.67 (define @t4 () (tptp.r1_tarski (tptp.a_2_0_lopclset @t1 @t3) @t2)) % 0.43/0.67 (define @t5 () (tptp.u1_struct_0 @t1)) % 0.43/0.67 (define @t6 () (tptp.m1_subset_1 @t3 @t5)) % 0.43/0.67 (define @t7 () (@list @t3)) % 0.43/0.67 (define @t8 () (forall @t7 (=> @t6 @t4))) % 0.43/0.67 (define @t9 () (tptp.l3_lattices @t1)) % 0.43/0.67 (define @t10 () (tptp.v3_realset2 @t1)) % 0.43/0.67 (define @t11 () (not @t10)) % 0.43/0.67 (define @t12 () (tptp.v17_lattices @t1)) % 0.43/0.67 (define @t13 () (tptp.v10_lattices @t1)) % 0.43/0.67 (define @t14 () (tptp.v3_struct_0 @t1)) % 0.43/0.67 (define @t15 () (not @t14)) % 0.43/0.67 (define @t16 () (and @t15 @t13 @t12 @t11 @t9)) % 0.43/0.67 (define @t17 () (=> @t16 @t8)) % 0.43/0.67 (define @t18 () (@list @t1)) % 0.43/0.67 (define @t19 () (forall @t18 @t17)) % 0.43/0.67 (define @t20 () (not @t19)) % 0.43/0.67 (define @t21 () (tptp.r2_hidden @t1 @t3)) % 0.43/0.67 (define @t22 () (@list @t1 @t3)) % 0.43/0.67 (define @t23 () (tptp.v1_xcmplx_0 @t3)) % 0.43/0.67 (define @t24 () (tptp.m1_subset_1 @t3 @t1)) % 0.43/0.67 (define @t25 () (tptp.v1_membered @t1)) % 0.43/0.67 (define @t26 () (tptp.v1_xreal_0 @t3)) % 0.43/0.67 (define @t27 () (tptp.v2_membered @t1)) % 0.43/0.67 (define @t28 () (tptp.v1_rat_1 @t3)) % 0.43/0.67 (define @t29 () (tptp.v3_membered @t1)) % 0.43/0.67 (define @t30 () (tptp.v1_int_1 @t3)) % 0.43/0.67 (define @t31 () (tptp.v4_membered @t1)) % 0.43/0.67 (define @t32 () (tptp.v5_membered @t1)) % 0.43/0.67 (define @t33 () (tptp.v1_xboole_0 @t1)) % 0.43/0.67 (define @t34 () (tptp.v1_membered @t3)) % 0.43/0.67 (define @t35 () (tptp.k1_zfmisc_1 @t1)) % 0.43/0.67 (define @t36 () (tptp.m1_subset_1 @t3 @t35)) % 0.43/0.67 (define @t37 () (tptp.v2_membered @t3)) % 0.43/0.67 (define @t38 () (tptp.v3_membered @t3)) % 0.43/0.67 (define @t39 () (tptp.v4_membered @t3)) % 0.43/0.67 (define @t40 () (tptp.v1_finset_1 @t1)) % 0.43/0.67 (define @t41 () (and (tptp.v1_finsub_1 @t1) (tptp.v3_finsub_1 @t1))) % 0.43/0.67 (define @t42 () (tptp.v4_finsub_1 @t1)) % 0.43/0.67 (define @t43 () (tptp.v9_lattices @t1)) % 0.43/0.67 (define @t44 () (tptp.v8_lattices @t1)) % 0.43/0.67 (define @t45 () (tptp.v7_lattices @t1)) % 0.43/0.67 (define @t46 () (tptp.v6_lattices @t1)) % 0.43/0.67 (define @t47 () (tptp.v5_lattices @t1)) % 0.43/0.67 (define @t48 () (tptp.v4_lattices @t1)) % 0.43/0.67 (define @t49 () (and @t15 @t48 @t47 @t46 @t45 @t44 @t43)) % 0.43/0.67 (define @t50 () (and @t15 @t13)) % 0.43/0.67 (define @t51 () (tptp.v1_finset_1 @t3)) % 0.43/0.67 (define @t52 () (tptp.v15_lattices @t1)) % 0.43/0.67 (define @t53 () (and @t15 @t52)) % 0.43/0.67 (define @t54 () (tptp.v14_lattices @t1)) % 0.43/0.67 (define @t55 () (tptp.v13_lattices @t1)) % 0.43/0.67 (define @t56 () (and @t15 @t55 @t54)) % 0.43/0.67 (define @t57 () (tptp.v16_lattices @t1)) % 0.43/0.67 (define @t58 () (tptp.v11_lattices @t1)) % 0.43/0.67 (define @t59 () (and @t15 @t12)) % 0.43/0.67 (define @t60 () (tptp.v12_lattices @t1)) % 0.43/0.67 (define @t61 () (@var "C" $$unsorted)) % 0.43/0.67 (define @t62 () (tptp.r2_hidden @t61 @t3)) % 0.43/0.67 (define @t63 () (tptp.r2_hidden @t61 @t1)) % 0.43/0.67 (define @t64 () (@list @t61)) % 0.43/0.67 (define @t65 () (forall @t64 (=> @t63 @t62))) % 0.43/0.67 (define @t66 () (tptp.r1_tarski @t1 @t3)) % 0.43/0.67 (define @t67 () (= @t66 @t65)) % 0.43/0.67 (define @t68 () (forall @t22 @t67)) % 0.43/0.67 (define @t69 () (= @t2 (tptp.a_1_1_lopclset @t1))) % 0.43/0.67 (define @t70 () (forall @t18 (=> @t16 @t69))) % 0.43/0.67 (define @t71 () (tptp.k1_zfmisc_1 @t5)) % 0.43/0.67 (define @t72 () (tptp.l1_struct_0 @t1)) % 0.43/0.67 (define @t73 () (tptp.l1_lattices @t1)) % 0.43/0.67 (define @t74 () (tptp.l2_lattices @t1)) % 0.43/0.67 (define @t75 () (tptp.m1_subset_1 @t3 @t71)) % 0.43/0.67 (define @t76 () (tptp.v1_xboole_0 @t3)) % 0.43/0.67 (define @t77 () (not @t76)) % 0.43/0.67 (define @t78 () (tptp.m1_filter_0 @t3 @t1)) % 0.43/0.67 (define @t79 () (and @t15 @t13 @t9)) % 0.43/0.67 (define @t80 () (and @t15 @t72)) % 0.43/0.67 (define @t81 () (tptp.v1_filter_0 @t61 @t3)) % 0.43/0.67 (define @t82 () (= @t1 @t61)) % 0.43/0.67 (define @t83 () (tptp.m1_filter_0 @t61 @t3)) % 0.43/0.67 (define @t84 () (and @t83 @t82 @t81)) % 0.43/0.67 (define @t85 () (exists @t64 @t84)) % 0.43/0.67 (define @t86 () (tptp.r2_hidden @t1 (tptp.a_1_1_lopclset @t3))) % 0.43/0.67 (define @t87 () (= @t86 @t85)) % 0.43/0.67 (define @t88 () (tptp.l3_lattices @t3)) % 0.43/0.67 (define @t89 () (tptp.v3_realset2 @t3)) % 0.43/0.67 (define @t90 () (not @t89)) % 0.43/0.67 (define @t91 () (tptp.v17_lattices @t3)) % 0.43/0.67 (define @t92 () (tptp.v10_lattices @t3)) % 0.43/0.67 (define @t93 () (tptp.v3_struct_0 @t3)) % 0.43/0.67 (define @t94 () (not @t93)) % 0.43/0.67 (define @t95 () (and @t94 @t92 @t91 @t90 @t88)) % 0.43/0.67 (define @t96 () (=> @t95 @t87)) % 0.43/0.67 (define @t97 () (forall @t22 @t96)) % 0.43/0.67 (define @t98 () (@var "D" $$unsorted)) % 0.43/0.67 (define @t99 () (tptp.r2_hidden @t61 @t98)) % 0.43/0.67 (define @t100 () (tptp.v1_filter_0 @t98 @t3)) % 0.43/0.67 (define @t101 () (= @t1 @t98)) % 0.43/0.67 (define @t102 () (tptp.m1_filter_0 @t98 @t3)) % 0.43/0.67 (define @t103 () (and @t102 @t101 @t100 @t99)) % 0.43/0.67 (define @t104 () (@list @t98)) % 0.43/0.67 (define @t105 () (exists @t104 @t103)) % 0.43/0.67 (define @t106 () (tptp.r2_hidden @t1 (tptp.a_2_0_lopclset @t3 @t61))) % 0.43/0.67 (define @t107 () (= @t106 @t105)) % 0.43/0.67 (define @t108 () (tptp.m1_subset_1 @t61 (tptp.u1_struct_0 @t3))) % 0.43/0.67 (define @t109 () (and @t94 @t92 @t91 @t90 @t88 @t108)) % 0.43/0.67 (define @t110 () (=> @t109 @t107)) % 0.43/0.67 (define @t111 () (@list @t1 @t3 @t61)) % 0.43/0.67 (define @t112 () (forall @t111 @t110)) % 0.43/0.67 (define @t113 () (not @t33)) % 0.43/0.67 (define @t114 () (tptp.m1_subset_1 @t1 @t3)) % 0.43/0.67 (define @t115 () (= @t1 @t3)) % 0.43/0.67 (define @t116 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t61))) % 0.43/0.67 (define @t117 () (tptp.v1_filter_0 @t1 @t3)) % 0.43/0.67 (define @t118 () (tptp.m1_filter_0 @t1 @t3)) % 0.43/0.67 (define @t119 () (= @t86 (and @t118 @t117))) % 0.43/0.67 (define @t120 () (not @t88)) % 0.43/0.67 (define @t121 () (not @t91)) % 0.43/0.67 (define @t122 () (not @t92)) % 0.43/0.67 (define @t123 () (not @t117)) % 0.43/0.67 (define @t124 () (not @t123)) % 0.43/0.67 (define @t125 () (not @t118)) % 0.43/0.67 (define @t126 () (not @t125)) % 0.43/0.67 (define @t127 () (or @t125 @t123)) % 0.43/0.67 (define @t128 () (= @t86 (not @t127))) % 0.43/0.67 (define @t129 () (not @t90)) % 0.43/0.67 (define @t130 () (not @t94)) % 0.43/0.67 (define @t131 () (or @t130 @t122 @t121 @t129 @t120)) % 0.43/0.67 (define @t132 () (not (= @t1 @t1))) % 0.43/0.67 (define @t133 () (or @t125 @t132 @t123)) % 0.43/0.67 (define @t134 () (not @t81)) % 0.43/0.67 (define @t135 () (not @t82)) % 0.43/0.67 (define @t136 () (not @t83)) % 0.43/0.67 (define @t137 () (or @t135 @t136 @t135 @t134)) % 0.43/0.67 (define @t138 () (or @t136 @t135 @t134)) % 0.43/0.67 (define @t139 () (forall @t64 (not @t84))) % 0.43/0.67 (define @t140 () (not @t139)) % 0.43/0.67 (define @t141 () (@var "BOUND_VARIABLE_7795" $$unsorted)) % 0.43/0.67 (define @t142 () (tptp.r1_tarski (tptp.a_2_0_lopclset @t1 @t141) @t2)) % 0.43/0.67 (define @t143 () (not (tptp.m1_subset_1 @t141 @t5))) % 0.43/0.67 (define @t144 () (not @t9)) % 0.43/0.67 (define @t145 () (not @t12)) % 0.43/0.67 (define @t146 () (not @t13)) % 0.43/0.67 (define @t147 () (or @t14 @t146 @t145 @t10 @t144 @t143 @t142)) % 0.43/0.67 (define @t148 () (@list @t1 @t141)) % 0.43/0.67 (define @t149 () (forall @t148 @t147)) % 0.43/0.67 (define @t150 () (@quantifiers_skolemize @t149 0)) % 0.43/0.67 (define @t151 () (tptp.k7_lopclset @t150)) % 0.43/0.67 (define @t152 () (@quantifiers_skolemize @t149 1)) % 0.43/0.67 (define @t153 () (tptp.a_2_0_lopclset @t150 @t152)) % 0.43/0.67 (define @t154 () (forall @t64 (or (not (tptp.r2_hidden @t61 @t153)) (tptp.r2_hidden @t61 @t151)))) % 0.43/0.67 (define @t155 () (@quantifiers_skolemize @t154 0)) % 0.43/0.67 (define @t156 () (or @t143 @t142)) % 0.43/0.67 (define @t157 () (or @t14 @t146 @t145 @t10 @t144 @t156)) % 0.43/0.67 (define @t158 () (forall @t148 @t157)) % 0.43/0.67 (define @t159 () (@list @t141)) % 0.43/0.67 (define @t160 () (forall @t159 @t157)) % 0.43/0.67 (define @t161 () (forall @t159 @t156)) % 0.43/0.67 (define @t162 () (or @t14 @t146 @t145 @t10 @t144 @t161)) % 0.43/0.67 (define @t163 () (forall @t7 (or (not @t6) @t4))) % 0.43/0.67 (define @t164 () (or @t14 @t146 @t145 @t10 @t144 @t163)) % 0.43/0.67 (define @t165 () (or @t14 @t146 @t145 @t10 @t144)) % 0.43/0.67 (define @t166 () (not @t11)) % 0.43/0.67 (define @t167 () (not @t15)) % 0.43/0.67 (define @t168 () (or @t167 @t146 @t145 @t166 @t144)) % 0.43/0.67 (define @t169 () (not @t16)) % 0.43/0.67 (define @t170 () (tptp.l3_lattices @t150)) % 0.43/0.67 (define @t171 () (tptp.r1_tarski @t153 @t151)) % 0.43/0.67 (define @t172 () (tptp.m1_subset_1 @t152 (tptp.u1_struct_0 @t150))) % 0.43/0.67 (define @t173 () (not @t172)) % 0.43/0.67 (define @t174 () (not @t170)) % 0.43/0.67 (define @t175 () (tptp.v3_realset2 @t150)) % 0.43/0.67 (define @t176 () (tptp.v17_lattices @t150)) % 0.43/0.67 (define @t177 () (not @t176)) % 0.43/0.67 (define @t178 () (tptp.v10_lattices @t150)) % 0.43/0.67 (define @t179 () (not @t178)) % 0.43/0.67 (define @t180 () (tptp.v3_struct_0 @t150)) % 0.43/0.67 (define @t181 () (or @t180 @t179 @t177 @t175 @t174 @t173 @t171)) % 0.43/0.67 (define @t182 () (@list true)) % 0.43/0.67 (define @t183 () (@list @t181)) % 0.43/0.67 (define @t184 () (tptp.v1_filter_0 @t155 @t150)) % 0.43/0.67 (define @t185 () (tptp.m1_filter_0 @t155 @t150)) % 0.43/0.67 (define @t186 () (and @t185 @t184)) % 0.43/0.67 (define @t187 () (tptp.a_1_1_lopclset @t150)) % 0.43/0.67 (define @t188 () (tptp.r2_hidden @t155 @t187)) % 0.43/0.67 (define @t189 () (= @t188 @t186)) % 0.43/0.67 (define @t190 () (or @t180 @t179 @t177 @t175 @t174 @t189)) % 0.43/0.67 (define @t191 () (@list true false false true false false)) % 0.43/0.67 (define @t192 () (= @t106 (and @t118 @t117 @t63))) % 0.43/0.67 (define @t193 () (not @t108)) % 0.43/0.67 (define @t194 () (not @t63)) % 0.43/0.67 (define @t195 () (not @t194)) % 0.43/0.67 (define @t196 () (and @t126 @t124 @t195)) % 0.43/0.67 (define @t197 () (or @t125 @t123 @t194)) % 0.43/0.67 (define @t198 () (= @t106 (not @t197))) % 0.43/0.67 (define @t199 () (or @t130 @t122 @t121 @t129 @t120 @t193)) % 0.43/0.67 (define @t200 () (or @t125 @t132 @t123 @t194)) % 0.43/0.67 (define @t201 () (not @t99)) % 0.43/0.67 (define @t202 () (not @t100)) % 0.43/0.67 (define @t203 () (not @t101)) % 0.43/0.67 (define @t204 () (not @t102)) % 0.43/0.67 (define @t205 () (or @t203 @t204 @t203 @t202 @t201)) % 0.43/0.67 (define @t206 () (or @t204 @t203 @t202 @t201)) % 0.43/0.67 (define @t207 () (forall @t104 (not @t103))) % 0.43/0.67 (define @t208 () (not @t207)) % 0.43/0.67 (define @t209 () (and @t185 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@t68) % 0.43/0.67 (assume @p30 @t70) % 0.43/0.67 (assume @p31 true) % 0.43/0.67 (assume @p32 (forall @t18 (=> @t16 (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t71))))) % 0.43/0.67 (assume @p33 (forall @t18 (=> @t73 @t72))) % 0.43/0.67 (assume @p34 (forall @t18 (=> @t74 @t72))) % 0.43/0.67 (assume @p35 (forall @t18 (=> @t9 (and @t73 @t74)))) % 0.43/0.67 (assume @p36 (forall @t18 (=> @t79 (forall @t7 (=> @t78 (and @t77 @t75)))))) % 0.43/0.67 (assume @p37 (exists @t18 @t73)) % 0.43/0.67 (assume @p38 (exists @t18 @t72)) % 0.43/0.67 (assume @p39 (exists @t18 @t74)) % 0.43/0.67 (assume @p40 (exists @t18 @t9)) % 0.43/0.67 (assume @p41 (forall @t18 (=> @t79 (exists @t7 @t78)))) % 0.43/0.67 (assume @p42 (forall @t18 (exists @t7 @t24))) % 0.43/0.67 (assume @p43 (forall @t18 (and (not (tptp.v1_xboole_0 @t35)) (tptp.v1_finsub_1 @t35) (tptp.v3_finsub_1 @t35) (tptp.v4_finsub_1 @t35)))) % 0.43/0.67 (assume @p44 (forall @t18 (=> @t80 (not (tptp.v1_xboole_0 @t5))))) % 0.43/0.67 (assume @p45 (forall @t18 (=> @t16 (not (tptp.v1_xboole_0 @t2))))) % 0.43/0.67 (assume @p46 (and (tptp.v1_xboole_0 tptp.k1_xboole_0) (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0))) % 0.43/0.67 (assume @p47 @t97) % 0.43/0.67 (assume @p48 @t112) % 0.43/0.67 (assume @p49 (exists @t18 (and @t113 @t40))) % 0.43/0.67 (assume @p50 (exists @t18 (and @t9 @t15 @t48 @t47 @t46 @t45 @t44 @t43 @t13 @t58 @t60 @t55 @t54 @t52 @t57 @t12 @t11))) % 0.43/0.67 (assume @p51 (exists @t18 (and @t113 @t25 @t27 @t29 @t31 @t32))) % 0.43/0.67 (assume @p52 (forall @t18 (=> @t113 (exists @t7 (and @t36 @t77 @t51))))) % 0.43/0.67 (assume @p53 (exists @t18 (and @t72 @t15))) % 0.43/0.67 (assume @p54 (forall @t18 (=> @t80 (exists @t7 (and @t75 @t77))))) % 0.43/0.67 (assume @p55 (forall @t22 (tptp.r1_tarski @t1 @t1))) % 0.43/0.67 (assume @p56 (forall @t22 (=> @t21 @t114))) % 0.43/0.67 (assume @p57 (forall @t22 (=> @t114 (or @t76 @t21)))) % 0.43/0.67 (assume @p58 (forall @t22 (=> (forall @t64 (= @t63 @t62)) @t115))) % 0.43/0.67 (assume @p59 (forall @t22 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t3)) @t66))) % 0.43/0.67 (assume @p60 (forall @t111 (=> (and @t21 @t116) (tptp.m1_subset_1 @t1 @t61)))) % 0.43/0.67 (assume @p61 (forall @t111 (not (and @t21 @t116 (tptp.v1_xboole_0 @t61))))) % 0.43/0.67 (assume @p62 (forall @t18 (=> @t33 (= @t1 tptp.k1_xboole_0)))) % 0.43/0.67 (assume @p63 (forall @t22 (not (and @t21 @t76)))) % 0.43/0.67 (assume @p64 (forall @t22 (not (and @t33 (not @t115) @t76)))) % 0.43/0.67 (step @p65 :rule evaluate :args ((= false true))) % 0.43/0.67 (step @p66 :rule aci_norm :args ((= (or (or @t93 @t122 @t121 @t89 @t120) @t119) (or @t93 @t122 @t121 @t89 @t120 @t119)))) % 0.43/0.67 (step @p67 :rule bool-double-not-elim :args (@t117)) % 0.43/0.67 (step @p68 :rule bool-double-not-elim :args (@t118)) % 0.43/0.67 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((and @t126 @t124))) % 0.43/0.67 (step @p70 :rule bool-or-de-morgan :args (@t125 @t123 false)) % 0.43/0.67 (step @p71 :rule trans :premises (@p70 @p69)) % 0.43/0.67 (step @p72 :rule refl :args (@t86)) % 0.43/0.67 (step @p73 :rule cong :premises (@p72 @p71) :args (@t128)) % 0.43/0.67 (step @p74 :rule refl :args (@t120)) % 0.43/0.67 (step @p75 :rule bool-double-not-elim :args (@t89)) % 0.43/0.67 (step @p76 :rule refl :args (@t121)) % 0.43/0.67 (step @p77 :rule refl :args (@t122)) % 0.43/0.67 (step @p78 :rule bool-double-not-elim :args (@t93)) % 0.43/0.67 (step @p79 :rule nary_cong :premises (@p78 @p77 @p76 @p75 @p74) :args (@t131)) % 0.43/0.67 (step @p80 :rule aci_norm :args ((= (or @t130 (or @t122 (or @t121 (or @t129 @t120)))) @t131))) % 0.43/0.67 (step @p81 :rule trans :premises (@p80 @p79)) % 0.43/0.67 (step @p82 :rule bool-and-de-morgan :args (@t90 @t88 true)) % 0.43/0.67 (step @p83 :rule nary_cong :premises (@p76 @p82) :args ((or @t121 (not (and @t90 @t88))))) % 0.43/0.67 (step @p84 :rule 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0.43/0.67 (step @p98 :rule cong :premises (@p97) :args ((forall @t22 (=> @t95 @t128)))) % 0.43/0.67 (step @p99 :rule aci_norm :args ((= (or @t125 false @t123) @t127))) % 0.43/0.67 (step @p100 :rule refl :args (@t123)) % 0.43/0.67 (step @p101 :rule evaluate :args ((not true))) % 0.43/0.67 (step @p102 :rule eq-refl :args (@t1)) % 0.43/0.67 (step @p103 :rule cong :premises (@p102) :args (@t132)) % 0.43/0.67 (step @p104 :rule trans :premises (@p103 @p101)) % 0.43/0.67 (step @p105 :rule refl :args (@t125)) % 0.43/0.67 (step @p106 :rule nary_cong :premises (@p105 @p104 @p100) :args (@t133)) % 0.43/0.67 (step @p107 :rule trans :premises (@p106 @p99)) % 0.43/0.67 (step @p108 :rule quant-var-elim-eq :args ((= (forall @t64 (or (not (= @t61 @t1)) @t136 @t135 @t134)) @t133))) % 0.43/0.67 (step @p109 :rule refl :args (@t134)) % 0.43/0.67 (step @p110 :rule refl :args (@t135)) % 0.43/0.67 (step @p111 :rule refl :args (@t136)) % 0.43/0.67 (step @p112 :rule eq-symm :args (@t1 @t61)) % 0.43/0.67 (step 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@t158))) % 0.43/0.67 (step @p142 :rule alpha_equiv :args (@t161 (@list @t141) (@list @t3))) % 0.43/0.67 (step @p143 :rule refl :args (@t144)) % 0.43/0.67 (step @p144 :rule refl :args (@t10)) % 0.43/0.67 (step @p145 :rule refl :args (@t145)) % 0.43/0.67 (step @p146 :rule refl :args (@t146)) % 0.43/0.67 (step @p147 :rule refl :args (@t14)) % 0.43/0.67 (step @p148 :rule nary_cong :premises (@p147 @p146 @p145 @p144 @p143 @p142) :args (@t162)) % 0.43/0.67 (step @p149 :rule quant-miniscope-or :args ((= @t160 @t162))) % 0.43/0.67 (step @p150 :rule trans :premises (@p149 @p148)) % 0.43/0.67 (step @p151 :rule symm :premises (@p150)) % 0.43/0.67 (step @p152 :rule cong :premises (@p151) :args ((forall @t18 @t164))) % 0.43/0.67 (step @p153 :rule trans :premises (@p152 @p141)) % 0.43/0.67 (step @p154 :rule trans :premises (@p153 @p140)) % 0.43/0.67 (step @p155 :rule aci_norm :args ((= (or @t165 @t163) @t164))) % 0.43/0.67 (step @p156 :rule refl :args (@t163)) % 0.43/0.67 (step @p157 :rule 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(step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or @t167 (not (and @t13 @t12 @t11 @t9))))) % 0.43/0.67 (step @p171 :rule bool-and-de-morgan :args (@t15 @t13 (and @t12 @t11 @t9))) % 0.43/0.67 (step @p172 :rule trans :premises (@p171 @p170)) % 0.43/0.67 (step @p173 :rule trans :premises (@p172 @p161)) % 0.43/0.67 (step @p174 :rule nary_cong :premises (@p173 @p156) :args ((or @t169 @t163))) % 0.43/0.67 (step @p175 :rule trans :premises (@p174 @p155)) % 0.43/0.67 (step @p176 :rule bool-impl-elim :args (@t16 @t163)) % 0.43/0.67 (step @p177 :rule trans :premises (@p176 @p175)) % 0.43/0.67 (step @p178 :rule cong :premises (@p177) :args ((forall @t18 (=> @t16 @t163)))) % 0.43/0.67 (step @p179 :rule trans :premises (@p178 @p154)) % 0.43/0.67 (step @p180 :rule bool-impl-elim :args (@t6 @t4)) % 0.43/0.67 (step @p181 :rule cong :premises (@p180) :args (@t8)) % 0.43/0.67 (step @p182 :rule refl :args (@t16)) % 0.43/0.67 (step @p183 :rule cong :premises (@p182 @p181) :args (@t17)) % 0.43/0.67 (step @p184 :rule cong :premises (@p183) :args (@t19)) % 0.43/0.67 (step @p185 :rule trans :premises (@p184 @p179)) % 0.43/0.67 (step @p186 :rule cong :premises (@p185) :args (@t20)) % 0.43/0.67 (step @p187 :rule eq_resolve :premises (@p1 @p186)) % 0.43/0.67 (step @p188 :rule skolemize :premises (@p187)) % 0.43/0.67 (step @p189 :rule bool-double-not-elim :args (@t170)) % 0.43/0.67 (step @p190 :rule refl :args (@t181)) % 0.43/0.67 (step @p191 :rule nary_cong :premises (@p190 @p189) :args ((or @t181 (not @t174)))) % 0.43/0.67 (step @p192 :rule cnf_or_neg :args (@t181 4)) % 0.43/0.67 (step @p193 :rule eq_resolve :premises (@p192 @p191)) % 0.43/0.67 (step @p194 :rule reordering :premises (@p193) :args ((or @t170 @t181))) % 0.43/0.67 (step @p195 :rule chain_m_resolution :premises (@p194 @p188) :args (@t170 @t182 @t183)) % 0.43/0.67 (step @p196 :rule cnf_or_neg :args (@t181 3)) % 0.43/0.67 (step @p197 :rule chain_m_resolution :premises (@p196 @p188) :args ((not @t175) @t182 @t183)) % 0.43/0.67 (step @p198 :rule bool-double-not-elim :args (@t176)) % 0.43/0.67 (step @p199 :rule nary_cong :premises (@p190 @p198) :args ((or @t181 (not @t177)))) % 0.43/0.67 (step @p200 :rule cnf_or_neg :args (@t181 2)) % 0.43/0.67 (step @p201 :rule eq_resolve :premises (@p200 @p199)) % 0.43/0.67 (step @p202 :rule reordering :premises (@p201) :args ((or @t176 @t181))) % 0.43/0.67 (step @p203 :rule chain_m_resolution :premises (@p202 @p188) :args (@t176 @t182 @t183)) % 0.43/0.67 (step @p204 :rule bool-double-not-elim :args (@t178)) % 0.43/0.67 (step @p205 :rule nary_cong :premises (@p190 @p204) :args ((or @t181 (not @t179)))) % 0.43/0.67 (step @p206 :rule cnf_or_neg :args (@t181 1)) % 0.43/0.67 (step @p207 :rule eq_resolve :premises (@p206 @p205)) % 0.43/0.67 (step @p208 :rule reordering :premises (@p207) :args ((or @t178 @t181))) % 0.43/0.67 (step @p209 :rule chain_m_resolution :premises (@p208 @p188) :args (@t178 @t182 @t183)) % 0.43/0.67 (step @p210 :rule cnf_or_neg :args (@t181 0)) 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:rule refl :args (@t204)) % 0.43/0.67 (step @p261 :rule eq-symm :args (@t1 @t98)) % 0.43/0.67 (step @p262 :rule cong :premises (@p261) :args (@t203)) % 0.43/0.67 (step @p263 :rule nary_cong :premises (@p262 @p260 @p259 @p258 @p257) :args (@t205)) % 0.43/0.67 (step @p264 :rule aci_norm :args ((= @t206 @t205))) % 0.43/0.67 (step @p265 :rule trans :premises (@p264 @p263)) % 0.43/0.67 (step @p266 :rule cong :premises (@p265) :args ((forall @t104 @t206))) % 0.43/0.67 (step @p267 :rule trans :premises (@p266 @p256)) % 0.43/0.67 (step @p268 :rule trans :premises (@p267 @p255)) % 0.43/0.67 (step @p269 :rule aci_norm :args ((= (or @t204 (or @t203 (or @t202 @t201))) @t206))) % 0.43/0.67 (step @p270 :rule bool-and-de-morgan :args (@t100 @t99 true)) % 0.43/0.67 (step @p271 :rule nary_cong :premises (@p259 @p270) :args ((or @t203 (not (and @t100 @t99))))) % 0.43/0.67 (step @p272 :rule bool-and-de-morgan :args (@t101 @t100 (and @t99))) % 0.43/0.67 (step @p273 :rule trans :premises (@p272 @p271)) % 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:premises (@p287 @p251)) % 0.43/0.67 (step @p289 :rule eq_resolve :premises (@p48 @p288)) % 0.43/0.67 (step @p290 :rule instantiate :premises (@p289) :args ((@list @t155 @t150 @t152))) % 0.43/0.67 (step @p291 :rule bool-double-not-elim :args (@t172)) % 0.43/0.67 (step @p292 :rule nary_cong :premises (@p190 @p291) :args ((or @t181 (not @t173)))) % 0.43/0.67 (step @p293 :rule cnf_or_neg :args (@t181 5)) % 0.43/0.67 (step @p294 :rule eq_resolve :premises (@p293 @p292)) % 0.43/0.67 (step @p295 :rule reordering :premises (@p294) :args ((or @t172 @t181))) % 0.43/0.67 (step @p296 :rule chain_m_resolution :premises (@p295 @p188) :args (@t172 @t182 @t183)) % 0.43/0.67 (step @p297 :rule cnf_or_pos :args (@t212)) % 0.43/0.67 (step @p298 :rule reordering :premises (@p297) :args ((or @t180 @t179 @t177 @t175 @t174 @t173 @t211 (not @t212)))) % 0.43/0.67 (step @p299 :rule chain_m_resolution :premises (@p298 @p211 @p209 @p203 @p197 @p195 @p296 @p290) :args (@t211 (@list true false false true false false false) (@list @t180 @t178 @t176 @t175 @t170 @t172 @t212))) % 0.43/0.67 (step @p300 :rule bool-impl-elim :args (@t63 @t62)) % 0.43/0.67 (step @p301 :rule cong :premises (@p300) :args (@t65)) % 0.43/0.67 (step @p302 :rule refl :args (@t66)) % 0.43/0.67 (step @p303 :rule cong :premises (@p302 @p301) :args (@t67)) % 0.43/0.67 (step @p304 :rule cong :premises (@p303) :args (@t68)) % 0.43/0.67 (step @p305 :rule eq_resolve :premises (@p29 @p304)) % 0.43/0.67 (step @p306 :rule instantiate :premises (@p305) :args ((@list @t153 @t151))) % 0.43/0.67 (step @p307 :rule cnf_or_neg :args (@t181 6)) % 0.43/0.67 (step @p308 :rule chain_m_resolution :premises (@p307 @p188) :args ((not @t171) @t182 @t183)) % 0.43/0.67 (step @p309 :rule cnf_equiv_pos2 :args (@t213)) % 0.43/0.67 (step @p310 :rule reordering :premises (@p309) :args ((or @t171 @t214 (not @t213)))) % 0.43/0.67 (step @p311 :rule chain_m_resolution :premises (@p310 @p308 @p306) :args (@t214 (@list true false) (@list @t171 @t213))) % 0.43/0.67 (step @p312 :rule skolemize :premises (@p311)) % 0.43/0.67 (step @p313 :rule bool-double-not-elim :args (@t210)) % 0.43/0.67 (step @p314 :rule refl :args (@t217)) % 0.43/0.67 (step @p315 :rule nary_cong :premises (@p314 @p313) :args ((or @t217 (not @t216)))) % 0.43/0.67 (step @p316 :rule cnf_or_neg :args (@t217 0)) % 0.43/0.67 (step @p317 :rule eq_resolve :premises (@p316 @p315)) % 0.43/0.67 (step @p318 :rule reordering :premises (@p317) :args ((or @t210 @t217))) % 0.43/0.67 (step @p319 :rule chain_m_resolution :premises (@p318 @p312) :args (@t210 @t182 @t218)) % 0.43/0.67 (step @p320 :rule cnf_equiv_pos1 :args (@t211)) % 0.43/0.67 (step @p321 :rule reordering :premises (@p320) :args ((or @t216 @t209 (not @t211)))) % 0.43/0.67 (step @p322 :rule chain_m_resolution :premises (@p321 @p319 @p299) :args (@t209 @t219 (@list @t210 @t211))) % 0.43/0.67 (step @p323 :rule cnf_and_pos :args (@t209 1)) % 0.43/0.67 (step @p324 :rule reordering :premises (@p323) :args ((or @t184 @t220))) % 0.43/0.67 (step @p325 :rule chain_m_resolution :premises (@p324 @p322) :args (@t184 @t221 @t222)) % 0.43/0.67 (step @p326 :rule cnf_and_pos :args (@t209 0)) % 0.43/0.67 (step @p327 :rule reordering :premises (@p326) :args ((or @t185 @t220))) % 0.43/0.67 (step @p328 :rule chain_m_resolution :premises (@p327 @p322) :args (@t185 @t221 @t222)) % 0.43/0.67 (step @p329 :rule cnf_and_neg :args (@t186)) % 0.43/0.67 (step @p330 :rule chain_m_resolution :premises (@p329 @p328 @p325) :args (@t186 @t219 (@list @t185 @t184))) % 0.43/0.67 (step @p331 :rule cnf_equiv_pos2 :args (@t189)) % 0.43/0.67 (step @p332 :rule reordering :premises (@p331) :args ((or @t188 (not @t186) (not @t189)))) % 0.43/0.67 (step @p333 :rule chain_m_resolution :premises (@p332 @p330 @p214) :args (@t188 @t219 (@list @t186 @t189))) % 0.43/0.67 (step @p334 :rule true_intro :premises (@p333)) % 0.43/0.67 (step @p335 :rule aci_norm :args ((= (or @t165 @t69) (or @t14 @t146 @t145 @t10 @t144 @t69)))) % 0.43/0.67 (step @p336 :rule refl :args (@t69)) % 0.43/0.67 (step @p337 :rule nary_cong :premises (@p173 @p336) :args ((or @t169 @t69))) % 0.43/0.67 (step @p338 :rule trans :premises (@p337 @p335)) % 0.43/0.67 (step @p339 :rule bool-impl-elim :args (@t16 @t69)) % 0.43/0.67 (step @p340 :rule trans :premises (@p339 @p338)) % 0.43/0.67 (step @p341 :rule cong :premises (@p340) :args (@t70)) % 0.43/0.67 (step @p342 :rule eq_resolve :premises (@p30 @p341)) % 0.43/0.67 (step @p343 :rule instantiate :premises (@p342) :args ((@list @t150))) % 0.43/0.67 (step @p344 :rule cnf_or_pos :args (@t224)) % 0.43/0.67 (step @p345 :rule reordering :premises (@p344) :args ((or @t180 @t179 @t177 @t175 @t174 @t223 (not @t224)))) % 0.43/0.67 (step @p346 :rule chain_m_resolution :premises (@p345 @p211 @p209 @p203 @p197 @p195 @p343) :args (@t223 @t191 (@list @t180 @t178 @t176 @t175 @t170 @t224))) % 0.43/0.67 (step @p347 :rule refl :args (@t155)) % 0.43/0.67 (step @p348 :rule cong :premises (@p347 @p346) :args (@t215)) % 0.43/0.67 (step @p349 :rule cnf_or_neg :args (@t217 1)) % 0.43/0.67 (step @p350 :rule chain_m_resolution :premises (@p349 @p312) :args ((not @t215) @t182 @t218)) % 0.43/0.67 (step @p351 :rule false_intro :premises (@p350)) % 0.43/0.67 (step @p352 :rule symm :premises (@p351)) % 0.43/0.67 (step @p353 :rule trans :premises (@p352 @p348 @p334)) % 0.43/0.67 (step @p354 false :rule eq_resolve :premises (@p353 @p65)) % 0.43/0.67 ) % 0.43/0.67 % SZS output end Proof % 0.43/0.67 % cvc5 exiting %------------------------------------------------------------------------------