%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TOP040+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 : n026.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 09:15:50 AM UTC 2026 % Result : Theorem 7.01s 7.25s % Output : Proof 7.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : TOP040+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 % 0.17/0.35 % Computer : n026.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 01:23:55 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.53 %----Proving TF0_NAR, FOF, or CNF % 7.01/7.25 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 7.01/7.25 % SZS status Theorem % 7.01/7.25 % SZS output start Proof % 7.01/7.25 ( % 7.01/7.25 (declare-sort $$unsorted 0) % 7.01/7.25 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v5_tdlat_3 (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v1_tsep_1 (-> $$unsorted $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v2_tops_1 (-> $$unsorted $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v3_pre_topc (-> $$unsorted $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 7.01/7.25 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.k3_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 7.01/7.25 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.l1_pre_topc (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v3_tops_1 (-> $$unsorted $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.m1_pre_topc (-> $$unsorted $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v2_tsp_2 (-> $$unsorted $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v1_borsuk_1 (-> $$unsorted $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v4_tdlat_3 (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.m2_tsp_1 (-> $$unsorted $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v1_tex_3 (-> $$unsorted $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 7.01/7.25 (declare-const tptp.v5_pre_topc (-> $$unsorted $$unsorted $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v4_pre_topc (-> $$unsorted $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v2_pre_topc (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.k5_subset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 7.01/7.25 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 7.01/7.25 (declare-const tptp.k1_tsp_2 (-> $$unsorted $$unsorted $$unsorted)) % 7.01/7.25 (declare-const tptp.v3_realset2 (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 7.01/7.25 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.k4_pre_topc (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 7.01/7.25 (declare-const tptp.v3_tdlat_3 (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v1_tdlat_3 (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v2_tex_2 (-> $$unsorted $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.k1_xboole_0 $$unsorted) % 7.01/7.25 (declare-const tptp.v2_tdlat_3 (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v2_t_0topsp (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.k3_tex_4 (-> $$unsorted $$unsorted $$unsorted)) % 7.01/7.25 (declare-const tptp.k4_tsp_2 (-> $$unsorted $$unsorted $$unsorted)) % 7.01/7.25 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 7.01/7.25 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 7.01/7.25 (define @t1 () (@var "D" $$unsorted)) % 7.01/7.25 (define @t2 () (@var "B" $$unsorted)) % 7.01/7.25 (define @t3 () (@var "A" $$unsorted)) % 7.01/7.25 (define @t4 () (tptp.k4_tsp_2 @t3 @t2)) % 7.01/7.25 (define @t5 () (@var "C" $$unsorted)) % 7.01/7.25 (define @t6 () (tptp.k4_pre_topc @t3 @t2 @t4 @t5)) % 7.01/7.25 (define @t7 () (tptp.u1_struct_0 @t2)) % 7.01/7.25 (define @t8 () (tptp.u1_struct_0 @t3)) % 7.01/7.25 (define @t9 () (= (tptp.k4_pre_topc @t3 @t2 @t4 (tptp.k5_subset_1 @t8 @t5 @t1)) (tptp.k5_subset_1 @t7 @t6 (tptp.k4_pre_topc @t3 @t2 @t4 @t1)))) % 7.01/7.25 (define @t10 () (tptp.v4_pre_topc @t1 @t3)) % 7.01/7.25 (define @t11 () (tptp.v4_pre_topc @t5 @t3)) % 7.01/7.25 (define @t12 () (or @t11 @t10)) % 7.01/7.25 (define @t13 () (=> @t12 @t9)) % 7.01/7.25 (define @t14 () (tptp.k1_zfmisc_1 @t8)) % 7.01/7.25 (define @t15 () (tptp.m1_subset_1 @t1 @t14)) % 7.01/7.25 (define @t16 () (@list @t1)) % 7.01/7.25 (define @t17 () (forall @t16 (=> @t15 @t13))) % 7.01/7.25 (define @t18 () (tptp.m1_subset_1 @t5 @t14)) % 7.01/7.25 (define @t19 () (=> @t18 @t17)) % 7.01/7.25 (define @t20 () (@list @t5)) % 7.01/7.25 (define @t21 () (forall @t20 @t19)) % 7.01/7.25 (define @t22 () (tptp.m2_tsp_1 @t2 @t3)) % 7.01/7.25 (define @t23 () (tptp.v2_tsp_2 @t2 @t3)) % 7.01/7.25 (define @t24 () (tptp.v3_struct_0 @t2)) % 7.01/7.25 (define @t25 () (not @t24)) % 7.01/7.25 (define @t26 () (and @t25 @t23 @t22)) % 7.01/7.25 (define @t27 () (=> @t26 @t21)) % 7.01/7.25 (define @t28 () (@list @t2)) % 7.01/7.25 (define @t29 () (forall @t28 @t27)) % 7.01/7.25 (define @t30 () (tptp.l1_pre_topc @t3)) % 7.01/7.25 (define @t31 () (tptp.v2_pre_topc @t3)) % 7.01/7.25 (define @t32 () (tptp.v3_struct_0 @t3)) % 7.01/7.25 (define @t33 () (not @t32)) % 7.01/7.25 (define @t34 () (and @t33 @t31 @t30)) % 7.01/7.25 (define @t35 () (=> @t34 @t29)) % 7.01/7.25 (define @t36 () (@list @t3)) % 7.01/7.25 (define @t37 () (forall @t36 @t35)) % 7.01/7.25 (define @t38 () (not @t37)) % 7.01/7.25 (define @t39 () (tptp.r2_hidden @t3 @t2)) % 7.01/7.25 (define @t40 () (@list @t3 @t2)) % 7.01/7.25 (define @t41 () (tptp.v1_xcmplx_0 @t2)) % 7.01/7.25 (define @t42 () (tptp.m1_subset_1 @t2 @t3)) % 7.01/7.25 (define @t43 () (tptp.v1_membered @t3)) % 7.01/7.25 (define @t44 () (tptp.v3_tdlat_3 @t3)) % 7.01/7.25 (define @t45 () (tptp.v2_tdlat_3 @t3)) % 7.01/7.25 (define @t46 () (not @t45)) % 7.01/7.25 (define @t47 () (tptp.v1_tdlat_3 @t3)) % 7.01/7.25 (define @t48 () (not @t47)) % 7.01/7.25 (define @t49 () (tptp.v3_realset2 @t3)) % 7.01/7.25 (define @t50 () (not @t49)) % 7.01/7.25 (define @t51 () (tptp.v2_t_0topsp @t3)) % 7.01/7.25 (define @t52 () (tptp.v1_borsuk_1 @t2 @t3)) % 7.01/7.25 (define @t53 () (tptp.v2_pre_topc @t2)) % 7.01/7.25 (define @t54 () (tptp.v2_tex_2 @t2 @t3)) % 7.01/7.25 (define @t55 () (and @t54 @t23)) % 7.01/7.25 (define @t56 () (tptp.m1_pre_topc @t2 @t3)) % 7.01/7.25 (define @t57 () (tptp.v1_xreal_0 @t2)) % 7.01/7.25 (define @t58 () (tptp.v2_membered @t3)) % 7.01/7.25 (define @t59 () (tptp.v2_t_0topsp @t2)) % 7.01/7.25 (define @t60 () (and @t25 @t59)) % 7.01/7.25 (define @t61 () (tptp.v1_rat_1 @t2)) % 7.01/7.25 (define @t62 () (tptp.v3_membered @t3)) % 7.01/7.25 (define @t63 () (not @t59)) % 7.01/7.25 (define @t64 () (not @t54)) % 7.01/7.25 (define @t65 () (not @t51)) % 7.01/7.25 (define @t66 () (and @t33 @t31 @t65 @t30)) % 7.01/7.25 (define @t67 () (tptp.v1_int_1 @t2)) % 7.01/7.25 (define @t68 () (tptp.v4_membered @t3)) % 7.01/7.25 (define @t69 () (tptp.v5_membered @t3)) % 7.01/7.25 (define @t70 () (tptp.v1_xboole_0 @t3)) % 7.01/7.25 (define @t71 () (tptp.v1_membered @t2)) % 7.01/7.25 (define @t72 () (tptp.k1_zfmisc_1 @t3)) % 7.01/7.25 (define @t73 () (tptp.m1_subset_1 @t2 @t72)) % 7.01/7.25 (define @t74 () (tptp.v2_membered @t2)) % 7.01/7.25 (define @t75 () (tptp.v3_membered @t2)) % 7.01/7.25 (define @t76 () (tptp.v4_membered @t2)) % 7.01/7.25 (define @t77 () (and @t31 @t30)) % 7.01/7.25 (define @t78 () (tptp.k2_zfmisc_1 @t3 @t2)) % 7.01/7.25 (define @t79 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 @t78))) % 7.01/7.25 (define @t80 () (@list @t3 @t2 @t5)) % 7.01/7.25 (define @t81 () (tptp.v4_pre_topc @t2 @t3)) % 7.01/7.25 (define @t82 () (tptp.v3_pre_topc @t2 @t3)) % 7.01/7.25 (define @t83 () (tptp.v1_xboole_0 @t2)) % 7.01/7.25 (define @t84 () (tptp.m1_subset_1 @t2 @t14)) % 7.01/7.25 (define @t85 () (and @t33 @t30)) % 7.01/7.25 (define @t86 () (tptp.v5_membered @t2)) % 7.01/7.25 (define @t87 () (tptp.v2_tops_1 @t2 @t3)) % 7.01/7.25 (define @t88 () (not @t23)) % 7.01/7.25 (define @t89 () (tptp.v3_tops_1 @t2 @t3)) % 7.01/7.25 (define @t90 () (tptp.v1_tex_3 @t2 @t3)) % 7.01/7.25 (define @t91 () (and @t53 @t88)) % 7.01/7.25 (define @t92 () (and @t53 @t64)) % 7.01/7.25 (define @t93 () (tptp.v1_tsep_1 @t2 @t3)) % 7.01/7.25 (define @t94 () (tptp.v5_tdlat_3 @t3)) % 7.01/7.25 (define @t95 () (tptp.v4_tdlat_3 @t3)) % 7.01/7.25 (define @t96 () (tptp.k3_xboole_0 @t2 @t3)) % 7.01/7.25 (define @t97 () (tptp.k3_xboole_0 @t3 @t2)) % 7.01/7.25 (define @t98 () (tptp.k5_subset_1 @t3 @t2 @t5)) % 7.01/7.25 (define @t99 () (= @t98 (tptp.k5_subset_1 @t3 @t5 @t2))) % 7.01/7.25 (define @t100 () (tptp.m1_subset_1 @t5 @t72)) % 7.01/7.25 (define @t101 () (and @t73 @t100)) % 7.01/7.25 (define @t102 () (forall @t80 (=> @t101 @t99))) % 7.01/7.25 (define @t103 () (@var "E" $$unsorted)) % 7.01/7.25 (define @t104 () (= (tptp.k5_subset_1 @t8 @t1 (tptp.k3_tex_4 @t3 @t103)) (tptp.k4_pre_topc @t3 @t2 @t5 @t103))) % 7.01/7.25 (define @t105 () (tptp.m1_subset_1 @t103 @t14)) % 7.01/7.25 (define @t106 () (@list @t103)) % 7.01/7.25 (define @t107 () (forall @t106 (=> @t105 @t104))) % 7.01/7.25 (define @t108 () (= @t1 @t7)) % 7.01/7.25 (define @t109 () (=> @t108 @t107)) % 7.01/7.25 (define @t110 () (=> @t15 @t109)) % 7.01/7.25 (define @t111 () (forall @t16 @t110)) % 7.01/7.25 (define @t112 () (= @t5 @t4)) % 7.01/7.25 (define @t113 () (= @t112 @t111)) % 7.01/7.25 (define @t114 () (tptp.m2_relset_1 @t5 @t8 @t7)) % 7.01/7.25 (define @t115 () (tptp.v5_pre_topc @t5 @t3 @t2)) % 7.01/7.25 (define @t116 () (tptp.v1_funct_2 @t5 @t8 @t7)) % 7.01/7.25 (define @t117 () (tptp.v1_funct_1 @t5)) % 7.01/7.25 (define @t118 () (and @t117 @t116 @t115 @t114)) % 7.01/7.25 (define @t119 () (=> @t118 @t113)) % 7.01/7.25 (define @t120 () (forall @t20 @t119)) % 7.01/7.25 (define @t121 () (=> @t26 @t120)) % 7.01/7.25 (define @t122 () (forall @t28 @t121)) % 7.01/7.25 (define @t123 () (=> @t34 @t122)) % 7.01/7.25 (define @t124 () (forall @t36 @t123)) % 7.01/7.25 (define @t125 () (tptp.k1_tsp_2 @t3 @t2)) % 7.01/7.25 (define @t126 () (and @t33 @t31 @t30 @t25 @t23 @t56)) % 7.01/7.25 (define @t127 () (tptp.k3_tex_4 @t3 @t2)) % 7.01/7.25 (define @t128 () (tptp.m1_subset_1 @t127 @t14)) % 7.01/7.25 (define @t129 () (and @t33 @t30 @t84)) % 7.01/7.25 (define @t130 () (forall @t40 (=> @t129 @t128))) % 7.01/7.25 (define @t131 () (tptp.k4_pre_topc @t3 @t2 @t5 @t1)) % 7.01/7.25 (define @t132 () (tptp.m1_subset_1 @t131 (tptp.k1_zfmisc_1 @t7))) % 7.01/7.25 (define @t133 () (tptp.m1_relset_1 @t5 @t8 @t7)) % 7.01/7.25 (define @t134 () (tptp.l1_struct_0 @t2)) % 7.01/7.25 (define @t135 () (tptp.l1_struct_0 @t3)) % 7.01/7.25 (define @t136 () (and @t135 @t134 @t117 @t116 @t133)) % 7.01/7.25 (define @t137 () (@list @t3 @t2 @t5 @t1)) % 7.01/7.25 (define @t138 () (forall @t137 (=> @t136 @t132))) % 7.01/7.25 (define @t139 () (and (tptp.v1_funct_1 @t4) (tptp.v1_funct_2 @t4 @t8 @t7) (tptp.v5_pre_topc @t4 @t3 @t2) (tptp.m2_relset_1 @t4 @t8 @t7))) % 7.01/7.25 (define @t140 () (forall @t40 (=> @t126 @t139))) % 7.01/7.25 (define @t141 () (tptp.m1_subset_1 @t98 @t72)) % 7.01/7.25 (define @t142 () (forall @t80 (=> @t101 @t141))) % 7.01/7.25 (define @t143 () (forall @t36 (=> @t30 @t135))) % 7.01/7.25 (define @t144 () (tptp.l1_pre_topc @t2)) % 7.01/7.25 (define @t145 () (tptp.m2_relset_1 @t5 @t3 @t2)) % 7.01/7.25 (define @t146 () (forall @t28 (=> @t22 @t144))) % 7.01/7.25 (define @t147 () (=> @t30 @t146)) % 7.01/7.25 (define @t148 () (forall @t36 @t147)) % 7.01/7.25 (define @t149 () (tptp.m1_relset_1 @t5 @t3 @t2)) % 7.01/7.25 (define @t150 () (and @t33 @t135)) % 7.01/7.25 (define @t151 () (tptp.v1_membered @t97)) % 7.01/7.25 (define @t152 () (tptp.v1_membered @t96)) % 7.01/7.25 (define @t153 () (tptp.v2_membered @t97)) % 7.01/7.25 (define @t154 () (tptp.v2_membered @t96)) % 7.01/7.25 (define @t155 () (tptp.v3_membered @t97)) % 7.01/7.25 (define @t156 () (tptp.v3_membered @t96)) % 7.01/7.25 (define @t157 () (tptp.v4_membered @t97)) % 7.01/7.25 (define @t158 () (tptp.v4_membered @t96)) % 7.01/7.25 (define @t159 () (not @t83)) % 7.01/7.25 (define @t160 () (not @t70)) % 7.01/7.25 (define @t161 () (tptp.k5_subset_1 @t3 @t2 @t2)) % 7.01/7.25 (define @t162 () (=> @t101 (= @t161 @t2))) % 7.01/7.25 (define @t163 () (forall @t80 @t162)) % 7.01/7.25 (define @t164 () (tptp.k3_xboole_0 @t2 @t5)) % 7.01/7.25 (define @t165 () (= @t98 @t164)) % 7.01/7.25 (define @t166 () (forall @t80 (=> @t101 @t165))) % 7.01/7.25 (define @t167 () (forall @t80 (= @t145 @t149))) % 7.01/7.25 (define @t168 () (forall @t28 (= @t22 @t56))) % 7.01/7.25 (define @t169 () (forall @t36 (=> @t30 @t168))) % 7.01/7.25 (define @t170 () (tptp.m1_subset_1 @t3 @t2)) % 7.01/7.25 (define @t171 () (tptp.m1_subset_1 @t7 @t14)) % 7.01/7.25 (define @t172 () (forall @t28 (=> @t56 @t171))) % 7.01/7.25 (define @t173 () (=> @t30 @t172)) % 7.01/7.25 (define @t174 () (forall @t36 @t173)) % 7.01/7.25 (define @t175 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t5))) % 7.01/7.25 (define @t176 () (= (tptp.k3_tex_4 @t3 (tptp.k5_subset_1 @t8 @t2 @t5)) (tptp.k5_subset_1 @t8 @t127 (tptp.k3_tex_4 @t3 @t5)))) % 7.01/7.25 (define @t177 () (or @t81 @t11)) % 7.01/7.25 (define @t178 () (=> @t177 @t176)) % 7.01/7.25 (define @t179 () (forall @t20 (=> @t18 @t178))) % 7.01/7.25 (define @t180 () (=> @t84 @t179)) % 7.01/7.25 (define @t181 () (forall @t28 @t180)) % 7.01/7.25 (define @t182 () (=> @t34 @t181)) % 7.01/7.25 (define @t183 () (forall @t36 @t182)) % 7.01/7.25 (define @t184 () (@var "BOUND_VARIABLE_8173" $$unsorted)) % 7.01/7.25 (define @t185 () (@var "BOUND_VARIABLE_8169" $$unsorted)) % 7.01/7.25 (define @t186 () (tptp.k4_tsp_2 @t3 @t185)) % 7.01/7.25 (define @t187 () (@var "BOUND_VARIABLE_8171" $$unsorted)) % 7.01/7.25 (define @t188 () (= (tptp.k4_pre_topc @t3 @t185 @t186 (tptp.k5_subset_1 @t8 @t187 @t184)) (tptp.k5_subset_1 (tptp.u1_struct_0 @t185) (tptp.k4_pre_topc @t3 @t185 @t186 @t187) (tptp.k4_pre_topc @t3 @t185 @t186 @t184)))) % 7.01/7.25 (define @t189 () (and (not (tptp.v4_pre_topc @t187 @t3)) (not (tptp.v4_pre_topc @t184 @t3)))) % 7.01/7.25 (define @t190 () (not (tptp.m1_subset_1 @t184 @t14))) % 7.01/7.25 (define @t191 () (not (tptp.m1_subset_1 @t187 @t14))) % 7.01/7.25 (define @t192 () (not (tptp.m2_tsp_1 @t185 @t3))) % 7.01/7.25 (define @t193 () (not (tptp.v2_tsp_2 @t185 @t3))) % 7.01/7.25 (define @t194 () (tptp.v3_struct_0 @t185)) % 7.01/7.25 (define @t195 () (not @t30)) % 7.01/7.25 (define @t196 () (not @t31)) % 7.01/7.25 (define @t197 () (or @t32 @t196 @t195 @t194 @t193 @t192 @t191 @t190 @t189 @t188)) % 7.01/7.25 (define @t198 () (or @t194 @t193 @t192 @t191 @t190 @t189 @t188)) % 7.01/7.25 (define @t199 () (or @t32 @t196 @t195 @t198)) % 7.01/7.25 (define @t200 () (@list @t3 @t185 @t187 @t184)) % 7.01/7.25 (define @t201 () (forall @t200 @t199)) % 7.01/7.25 (define @t202 () (@list @t185 @t187 @t184)) % 7.01/7.25 (define @t203 () (forall @t202 @t199)) % 7.01/7.25 (define @t204 () (forall @t202 @t198)) % 7.01/7.25 (define @t205 () (@var "BOUND_VARIABLE_8138" $$unsorted)) % 7.01/7.25 (define @t206 () (@var "BOUND_VARIABLE_8136" $$unsorted)) % 7.01/7.25 (define @t207 () (or @t32 @t196 @t195 @t204)) % 7.01/7.25 (define @t208 () (= (tptp.k4_pre_topc @t3 @t2 @t4 (tptp.k5_subset_1 @t8 @t206 @t205)) (tptp.k5_subset_1 @t7 (tptp.k4_pre_topc @t3 @t2 @t4 @t206) (tptp.k4_pre_topc @t3 @t2 @t4 @t205)))) % 7.01/7.25 (define @t209 () (and (not (tptp.v4_pre_topc @t206 @t3)) (not (tptp.v4_pre_topc @t205 @t3)))) % 7.01/7.25 (define @t210 () (not (tptp.m1_subset_1 @t205 @t14))) % 7.01/7.25 (define @t211 () (not (tptp.m1_subset_1 @t206 @t14))) % 7.01/7.25 (define @t212 () (not @t22)) % 7.01/7.25 (define @t213 () (or @t24 @t88 @t212 @t211 @t210 @t209 @t208)) % 7.01/7.25 (define @t214 () (@list @t2 @t206 @t205)) % 7.01/7.25 (define @t215 () (forall @t214 @t213)) % 7.01/7.25 (define @t216 () (or @t32 @t196 @t195 @t215)) % 7.01/7.25 (define @t217 () (or @t32 @t196 @t195)) % 7.01/7.25 (define @t218 () (not @t33)) % 7.01/7.25 (define @t219 () (or @t218 @t196 @t195)) % 7.01/7.25 (define @t220 () (not @t34)) % 7.01/7.25 (define @t221 () (or @t211 @t210 @t209 @t208)) % 7.01/7.25 (define @t222 () (or @t24 @t88 @t212 @t221)) % 7.01/7.25 (define @t223 () (forall @t214 @t222)) % 7.01/7.25 (define @t224 () (@list @t206 @t205)) % 7.01/7.25 (define @t225 () (forall @t224 @t222)) % 7.01/7.25 (define @t226 () (forall @t224 @t221)) % 7.01/7.25 (define @t227 () (@var "BOUND_VARIABLE_8111" $$unsorted)) % 7.01/7.25 (define @t228 () (or @t24 @t88 @t212 @t226)) % 7.01/7.25 (define @t229 () (= (tptp.k4_pre_topc @t3 @t2 @t4 (tptp.k5_subset_1 @t8 @t5 @t227)) (tptp.k5_subset_1 @t7 @t6 (tptp.k4_pre_topc @t3 @t2 @t4 @t227)))) % 7.01/7.25 (define @t230 () (not @t11)) % 7.01/7.25 (define @t231 () (and @t230 (not (tptp.v4_pre_topc @t227 @t3)))) % 7.01/7.25 (define @t232 () (not (tptp.m1_subset_1 @t227 @t14))) % 7.01/7.25 (define @t233 () (not @t18)) % 7.01/7.25 (define @t234 () (or @t233 @t232 @t231 @t229)) % 7.01/7.25 (define @t235 () (@list @t5 @t227)) % 7.01/7.25 (define @t236 () (forall @t235 @t234)) % 7.01/7.25 (define @t237 () (or @t24 @t88 @t212 @t236)) % 7.01/7.25 (define @t238 () (or @t24 @t88 @t212)) % 7.01/7.25 (define @t239 () (not @t25)) % 7.01/7.25 (define @t240 () (or @t239 @t88 @t212)) % 7.01/7.25 (define @t241 () (not @t26)) % 7.01/7.25 (define @t242 () (or @t232 @t231 @t229)) % 7.01/7.25 (define @t243 () (or @t233 @t242)) % 7.01/7.25 (define @t244 () (forall @t235 @t243)) % 7.01/7.25 (define @t245 () (@list @t227)) % 7.01/7.25 (define @t246 () (forall @t245 @t243)) % 7.01/7.25 (define @t247 () (forall @t245 @t242)) % 7.01/7.25 (define @t248 () (or @t233 @t247)) % 7.01/7.25 (define @t249 () (and @t230 (not @t10))) % 7.01/7.25 (define @t250 () (not @t15)) % 7.01/7.25 (define @t251 () (or @t250 @t249 @t9)) % 7.01/7.25 (define @t252 () (forall @t16 @t251)) % 7.01/7.25 (define @t253 () (forall @t200 @t197)) % 7.01/7.25 (define @t254 () (@quantifiers_skolemize @t253 3)) % 7.01/7.25 (define @t255 () (@quantifiers_skolemize @t253 1)) % 7.01/7.25 (define @t256 () (@quantifiers_skolemize @t253 0)) % 7.01/7.25 (define @t257 () (tptp.k4_tsp_2 @t256 @t255)) % 7.01/7.25 (define @t258 () (tptp.k4_pre_topc @t256 @t255 @t257 @t254)) % 7.01/7.25 (define @t259 () (@quantifiers_skolemize @t253 2)) % 7.01/7.25 (define @t260 () (tptp.k4_pre_topc @t256 @t255 @t257 @t259)) % 7.01/7.25 (define @t261 () (tptp.u1_struct_0 @t255)) % 7.01/7.25 (define @t262 () (tptp.k5_subset_1 @t261 @t260 @t258)) % 7.01/7.25 (define @t263 () (tptp.u1_struct_0 @t256)) % 7.01/7.25 (define @t264 () (tptp.k5_subset_1 @t263 @t259 @t254)) % 7.01/7.25 (define @t265 () (tptp.k4_pre_topc @t256 @t255 @t257 @t264)) % 7.01/7.25 (define @t266 () (= @t265 @t262)) % 7.01/7.25 (define @t267 () (tptp.v4_pre_topc @t254 @t256)) % 7.01/7.25 (define @t268 () (not @t267)) % 7.01/7.25 (define @t269 () (tptp.v4_pre_topc @t259 @t256)) % 7.01/7.25 (define @t270 () (not @t269)) % 7.01/7.25 (define @t271 () (and @t270 @t268)) % 7.01/7.25 (define @t272 () (tptp.k1_zfmisc_1 @t263)) % 7.01/7.25 (define @t273 () (tptp.m1_subset_1 @t254 @t272)) % 7.01/7.25 (define @t274 () (not @t273)) % 7.01/7.25 (define @t275 () (tptp.m1_subset_1 @t259 @t272)) % 7.01/7.25 (define @t276 () (not @t275)) % 7.01/7.25 (define @t277 () (tptp.m2_tsp_1 @t255 @t256)) % 7.01/7.25 (define @t278 () (not @t277)) % 7.01/7.25 (define @t279 () (tptp.v2_tsp_2 @t255 @t256)) % 7.01/7.25 (define @t280 () (not @t279)) % 7.01/7.25 (define @t281 () (tptp.v3_struct_0 @t255)) % 7.01/7.25 (define @t282 () (tptp.l1_pre_topc @t256)) % 7.01/7.25 (define @t283 () (not @t282)) % 7.01/7.25 (define @t284 () (tptp.v2_pre_topc @t256)) % 7.01/7.25 (define @t285 () (not @t284)) % 7.01/7.25 (define @t286 () (tptp.v3_struct_0 @t256)) % 7.01/7.25 (define @t287 () (or @t286 @t285 @t283 @t281 @t280 @t278 @t276 @t274 @t271 @t266)) % 7.01/7.25 (define @t288 () (@list true)) % 7.01/7.25 (define @t289 () (@list @t287)) % 7.01/7.25 (define @t290 () (@var "BOUND_VARIABLE_9524" $$unsorted)) % 7.01/7.25 (define @t291 () (@var "BOUND_VARIABLE_9522" $$unsorted)) % 7.01/7.25 (define @t292 () (= (tptp.k3_tex_4 @t3 (tptp.k5_subset_1 @t8 @t291 @t290)) (tptp.k5_subset_1 @t8 (tptp.k3_tex_4 @t3 @t291) (tptp.k3_tex_4 @t3 @t290)))) % 7.01/7.25 (define @t293 () (and (not (tptp.v4_pre_topc @t291 @t3)) (not (tptp.v4_pre_topc @t290 @t3)))) % 7.01/7.25 (define @t294 () (not (tptp.m1_subset_1 @t290 @t14))) % 7.01/7.25 (define @t295 () (not (tptp.m1_subset_1 @t291 @t14))) % 7.01/7.25 (define @t296 () (or @t295 @t294 @t293 @t292)) % 7.01/7.25 (define @t297 () (or @t32 @t196 @t195 @t296)) % 7.01/7.25 (define @t298 () (forall (@list @t3 @t291 @t290) @t297)) % 7.01/7.25 (define @t299 () (@list @t291 @t290)) % 7.01/7.25 (define @t300 () (forall @t299 @t297)) % 7.01/7.25 (define @t301 () (forall @t299 @t296)) % 7.01/7.25 (define @t302 () (@var "BOUND_VARIABLE_9500" $$unsorted)) % 7.01/7.25 (define @t303 () (or @t32 @t196 @t195 @t301)) % 7.01/7.25 (define @t304 () (= (tptp.k3_tex_4 @t3 (tptp.k5_subset_1 @t8 @t2 @t302)) (tptp.k5_subset_1 @t8 @t127 (tptp.k3_tex_4 @t3 @t302)))) % 7.01/7.25 (define @t305 () (not @t81)) % 7.01/7.25 (define @t306 () (and @t305 (not (tptp.v4_pre_topc @t302 @t3)))) % 7.01/7.25 (define @t307 () (not (tptp.m1_subset_1 @t302 @t14))) % 7.01/7.25 (define @t308 () (not @t84)) % 7.01/7.25 (define @t309 () (or @t308 @t307 @t306 @t304)) % 7.01/7.25 (define @t310 () (@list @t2 @t302)) % 7.01/7.25 (define @t311 () (forall @t310 @t309)) % 7.01/7.25 (define @t312 () (or @t32 @t196 @t195 @t311)) % 7.01/7.25 (define @t313 () (or @t307 @t306 @t304)) % 7.01/7.25 (define @t314 () (or @t308 @t313)) % 7.01/7.25 (define @t315 () (forall @t310 @t314)) % 7.01/7.25 (define @t316 () (@list @t302)) % 7.01/7.25 (define @t317 () (forall @t316 @t314)) % 7.01/7.25 (define @t318 () (forall @t316 @t313)) % 7.01/7.25 (define @t319 () (@list @t5)) % 7.01/7.25 (define @t320 () (or @t308 @t318)) % 7.01/7.25 (define @t321 () (and @t305 @t230)) % 7.01/7.25 (define @t322 () (or @t233 @t321 @t176)) % 7.01/7.25 (define @t323 () (forall @t20 @t322)) % 7.01/7.25 (define @t324 () (tptp.k3_tex_4 @t256 @t259)) % 7.01/7.25 (define @t325 () (tptp.k3_tex_4 @t256 @t254)) % 7.01/7.25 (define @t326 () (tptp.k3_xboole_0 @t261 @t325)) % 7.01/7.25 (define @t327 () (not @t100)) % 7.01/7.25 (define @t328 () (not @t73)) % 7.01/7.25 (define @t329 () (or @t328 @t327)) % 7.01/7.25 (define @t330 () (not @t101)) % 7.01/7.25 (define @t331 () (or @t218 @t195 @t308)) % 7.01/7.25 (define @t332 () (tptp.m1_subset_1 @t325 @t272)) % 7.01/7.25 (define @t333 () (or @t286 @t283 @t274 @t332)) % 7.01/7.25 (define @t334 () (@list true false false false)) % 7.01/7.25 (define @t335 () (tptp.m1_subset_1 @t324 @t272)) % 7.01/7.25 (define @t336 () (or @t286 @t283 @t276 @t335)) % 7.01/7.25 (define @t337 () (tptp.k3_xboole_0 @t325 @t324)) % 7.01/7.25 (define @t338 () (tptp.k5_subset_1 @t263 @t325 @t324)) % 7.01/7.25 (define @t339 () (= @t338 @t337)) % 7.01/7.25 (define @t340 () (not @t335)) % 7.01/7.25 (define @t341 () (not @t332)) % 7.01/7.25 (define @t342 () (or @t341 @t340 @t339)) % 7.01/7.25 (define @t343 () (@list false false false)) % 7.01/7.25 (define @t344 () (tptp.k3_tex_4 @t256 @t264)) % 7.01/7.25 (define @t345 () (@list @t263 @t259 @t254)) % 7.01/7.25 (define @t346 () (tptp.m1_subset_1 @t264 @t272)) % 7.01/7.25 (define @t347 () (or @t276 @t274 @t346)) % 7.01/7.25 (define @t348 () (tptp.m1_subset_1 @t344 @t272)) % 7.01/7.25 (define @t349 () (not @t346)) % 7.01/7.25 (define @t350 () (or @t286 @t283 @t349 @t348)) % 7.01/7.25 (define @t351 () (@var "BOUND_VARIABLE_9461" $$unsorted)) % 7.01/7.25 (define @t352 () (tptp.m1_subset_1 (tptp.u1_struct_0 @t351) @t14)) % 7.01/7.25 (define @t353 () (not (tptp.m1_pre_topc @t351 @t3))) % 7.01/7.25 (define @t354 () (or @t353 @t352)) % 7.01/7.25 (define @t355 () (or @t195 @t354)) % 7.01/7.25 (define @t356 () (forall (@list @t3 @t351) @t355)) % 7.01/7.25 (define @t357 () (@list @t351)) % 7.01/7.25 (define @t358 () (forall @t357 @t355)) % 7.01/7.25 (define @t359 () (forall @t357 @t354)) % 7.01/7.25 (define @t360 () (@list @t2)) % 7.01/7.25 (define @t361 () (or @t195 @t359)) % 7.01/7.25 (define @t362 () (not @t56)) % 7.01/7.25 (define @t363 () (forall @t28 (or @t362 @t171))) % 7.01/7.25 (define @t364 () (@list @t256 @t255)) % 7.01/7.25 (define @t365 () (@var "BOUND_VARIABLE_9441" $$unsorted)) % 7.01/7.25 (define @t366 () (= (tptp.m2_tsp_1 @t365 @t3) (tptp.m1_pre_topc @t365 @t3))) % 7.01/7.25 (define @t367 () (or @t195 @t366)) % 7.01/7.25 (define @t368 () (@list @t365)) % 7.01/7.25 (define @t369 () (forall @t368 @t367)) % 7.01/7.25 (define @t370 () (forall @t368 @t366)) % 7.01/7.25 (define @t371 () (or @t195 @t370)) % 7.01/7.25 (define @t372 () (tptp.m1_pre_topc @t255 @t256)) % 7.01/7.25 (define @t373 () (= @t277 @t372)) % 7.01/7.25 (define @t374 () (or @t283 @t373)) % 7.01/7.25 (define @t375 () (@list false false)) % 7.01/7.25 (define @t376 () (tptp.m1_subset_1 @t261 @t272)) % 7.01/7.25 (define @t377 () (not @t372)) % 7.01/7.25 (define @t378 () (or @t283 @t377 @t376)) % 7.01/7.25 (define @t379 () (tptp.k3_xboole_0 @t261 @t344)) % 7.01/7.25 (define @t380 () (tptp.k5_subset_1 @t263 @t261 @t344)) % 7.01/7.25 (define @t381 () (= @t380 @t379)) % 7.01/7.25 (define @t382 () (not @t348)) % 7.01/7.25 (define @t383 () (not @t376)) % 7.01/7.25 (define @t384 () (or @t383 @t382 @t381)) % 7.01/7.25 (define @t385 () (tptp.k5_subset_1 @t263 @t261 @t325)) % 7.01/7.25 (define @t386 () (= @t385 @t326)) % 7.01/7.25 (define @t387 () (or @t383 @t341 @t386)) % 7.01/7.25 (define @t388 () (tptp.k3_xboole_0 @t261 @t324)) % 7.01/7.25 (define @t389 () (tptp.k5_subset_1 @t263 @t261 @t324)) % 7.01/7.25 (define @t390 () (= @t389 @t388)) % 7.01/7.25 (define @t391 () (or @t383 @t340 @t390)) % 7.01/7.25 (define @t392 () (tptp.k3_xboole_0 @t261 @t261)) % 7.01/7.25 (define @t393 () (tptp.k5_subset_1 @t263 @t261 @t261)) % 7.01/7.25 (define @t394 () (= @t393 @t392)) % 7.01/7.25 (define @t395 () (or @t383 @t383 @t394)) % 7.01/7.25 (define @t396 () (@var "BOUND_VARIABLE_9114" $$unsorted)) % 7.01/7.25 (define @t397 () (tptp.k4_tsp_2 @t3 @t396)) % 7.01/7.25 (define @t398 () (@var "BOUND_VARIABLE_9116" $$unsorted)) % 7.01/7.25 (define @t399 () (@var "BOUND_VARIABLE_9036" $$unsorted)) % 7.01/7.25 (define @t400 () (tptp.k3_tex_4 @t3 @t399)) % 7.01/7.25 (define @t401 () (tptp.u1_struct_0 @t396)) % 7.01/7.25 (define @t402 () (not (tptp.m1_subset_1 @t399 @t14))) % 7.01/7.25 (define @t403 () (@list @t399)) % 7.01/7.25 (define @t404 () (or (not (tptp.m1_subset_1 @t401 @t14)) (forall @t403 (or @t402 (= (tptp.k5_subset_1 @t8 @t401 @t400) (tptp.k4_pre_topc @t3 @t396 @t398 @t399)))))) % 7.01/7.25 (define @t405 () (= @t397 @t398)) % 7.01/7.25 (define @t406 () (not (tptp.m2_relset_1 @t398 @t8 @t401))) % 7.01/7.25 (define @t407 () (not (tptp.v5_pre_topc @t398 @t3 @t396))) % 7.01/7.25 (define @t408 () (not (tptp.v1_funct_2 @t398 @t8 @t401))) % 7.01/7.25 (define @t409 () (not (tptp.v1_funct_1 @t398))) % 7.01/7.25 (define @t410 () (not (tptp.m2_tsp_1 @t396 @t3))) % 7.01/7.25 (define @t411 () (not (tptp.v2_tsp_2 @t396 @t3))) % 7.01/7.25 (define @t412 () (tptp.v3_struct_0 @t396)) % 7.01/7.25 (define @t413 () (= @t405 @t404)) % 7.01/7.25 (define @t414 () (or @t32 @t196 @t195 @t412 @t411 @t410 @t409 @t408 @t407 @t406 @t413)) % 7.01/7.25 (define @t415 () (or @t412 @t411 @t410 @t409 @t408 @t407 @t406 @t413)) % 7.01/7.25 (define @t416 () (or @t32 @t196 @t195 @t415)) % 7.01/7.25 (define @t417 () (@list @t3 @t396 @t398)) % 7.01/7.25 (define @t418 () (forall @t417 @t416)) % 7.01/7.25 (define @t419 () (@list @t396 @t398)) % 7.01/7.25 (define @t420 () (forall @t419 @t416)) % 7.01/7.25 (define @t421 () (forall @t419 @t415)) % 7.01/7.25 (define @t422 () (@var "BOUND_VARIABLE_9080" $$unsorted)) % 7.01/7.25 (define @t423 () (or @t32 @t196 @t195 @t421)) % 7.01/7.25 (define @t424 () (tptp.k4_pre_topc @t3 @t2 @t422 @t399)) % 7.01/7.25 (define @t425 () (tptp.k5_subset_1 @t8 @t7 @t400)) % 7.01/7.25 (define @t426 () (not @t171)) % 7.01/7.25 (define @t427 () (not (tptp.m2_relset_1 @t422 @t8 @t7))) % 7.01/7.25 (define @t428 () (not (tptp.v5_pre_topc @t422 @t3 @t2))) % 7.01/7.25 (define @t429 () (not (tptp.v1_funct_2 @t422 @t8 @t7))) % 7.01/7.25 (define @t430 () (not (tptp.v1_funct_1 @t422))) % 7.01/7.25 (define @t431 () (@list @t2 @t422)) % 7.01/7.25 (define @t432 () (forall @t431 (or @t24 @t88 @t212 @t430 @t429 @t428 @t427 (= (= @t4 @t422) (or @t426 (forall @t403 (or @t402 (= @t425 @t424)))))))) % 7.01/7.25 (define @t433 () (or @t32 @t196 @t195 @t432)) % 7.01/7.25 (define @t434 () (or @t402 (= @t424 @t425))) % 7.01/7.25 (define @t435 () (forall @t403 @t434)) % 7.01/7.25 (define @t436 () (or @t426 @t435)) % 7.01/7.25 (define @t437 () (= (= @t422 @t4) @t436)) % 7.01/7.25 (define @t438 () (or @t24 @t88 @t212 @t430 @t429 @t428 @t427 @t437)) % 7.01/7.25 (define @t439 () (or @t430 @t429 @t428 @t427 @t437)) % 7.01/7.25 (define @t440 () (or @t24 @t88 @t212 @t439)) % 7.01/7.25 (define @t441 () (forall @t431 @t440)) % 7.01/7.25 (define @t442 () (@list @t422)) % 7.01/7.25 (define @t443 () (forall @t442 @t440)) % 7.01/7.25 (define @t444 () (forall @t442 @t439)) % 7.01/7.25 (define @t445 () (or @t24 @t88 @t212 @t444)) % 7.01/7.25 (define @t446 () (tptp.k4_pre_topc @t3 @t2 @t5 @t399)) % 7.01/7.25 (define @t447 () (= @t446 @t425)) % 7.01/7.25 (define @t448 () (or @t402 @t447)) % 7.01/7.25 (define @t449 () (or @t426 (forall @t403 @t448))) % 7.01/7.25 (define @t450 () (= @t112 @t449)) % 7.01/7.25 (define @t451 () (not @t114)) % 7.01/7.25 (define @t452 () (not @t115)) % 7.01/7.25 (define @t453 () (not @t116)) % 7.01/7.25 (define @t454 () (not @t117)) % 7.01/7.25 (define @t455 () (or @t454 @t453 @t452 @t451 @t450)) % 7.01/7.25 (define @t456 () (forall @t20 @t455)) % 7.01/7.25 (define @t457 () (or @t24 @t88 @t212 @t456)) % 7.01/7.25 (define @t458 () (or @t454 @t453 @t452 @t451)) % 7.01/7.25 (define @t459 () (or @t426 @t448)) % 7.01/7.25 (define @t460 () (or @t426 @t402 @t447)) % 7.01/7.25 (define @t461 () (not (= @t7 @t7))) % 7.01/7.25 (define @t462 () (or @t426 @t461 @t402 (= @t425 @t446))) % 7.01/7.25 (define @t463 () (= (tptp.k5_subset_1 @t8 @t1 @t400) @t446)) % 7.01/7.25 (define @t464 () (not @t108)) % 7.01/7.25 (define @t465 () (or @t464 @t250 @t464 @t402 @t463)) % 7.01/7.25 (define @t466 () (or @t250 @t464 @t402 @t463)) % 7.01/7.25 (define @t467 () (forall @t16 @t466)) % 7.01/7.25 (define @t468 () (forall @t403 @t467)) % 7.01/7.25 (define @t469 () (forall (@list @t399 @t1) @t466)) % 7.01/7.25 (define @t470 () (@list @t1 @t399)) % 7.01/7.25 (define @t471 () (or @t402 @t463)) % 7.01/7.25 (define @t472 () (or @t250 @t464 @t471)) % 7.01/7.25 (define @t473 () (forall @t470 @t472)) % 7.01/7.25 (define @t474 () (forall @t403 @t472)) % 7.01/7.25 (define @t475 () (forall @t403 @t471)) % 7.01/7.25 (define @t476 () (or @t250 @t464 @t475)) % 7.01/7.25 (define @t477 () (forall @t106 (or (not @t105) @t104))) % 7.01/7.25 (define @t478 () (or @t250 @t464 @t477)) % 7.01/7.25 (define @t479 () (=> @t108 @t477)) % 7.01/7.25 (define @t480 () (forall @t403 (or (not (tptp.m1_subset_1 @t399 @t272)) (= (tptp.k5_subset_1 @t263 @t261 (tptp.k3_tex_4 @t256 @t399)) (tptp.k4_pre_topc @t256 @t255 @t257 @t399))))) % 7.01/7.25 (define @t481 () (tptp.m2_relset_1 @t257 @t263 @t261)) % 7.01/7.25 (define @t482 () (not @t481)) % 7.01/7.25 (define @t483 () (tptp.v5_pre_topc @t257 @t256 @t255)) % 7.01/7.25 (define @t484 () (not @t483)) % 7.01/7.25 (define @t485 () (tptp.v1_funct_2 @t257 @t263 @t261)) % 7.01/7.25 (define @t486 () (not @t485)) % 7.01/7.25 (define @t487 () (tptp.v1_funct_1 @t257)) % 7.01/7.25 (define @t488 () (not @t487)) % 7.01/7.25 (define @t489 () (or @t286 @t285 @t283 @t281 @t280 @t278 @t488 @t486 @t484 @t482 @t383 @t480)) % 7.01/7.25 (define @t490 () (or @t383 @t480)) % 7.01/7.25 (define @t491 () (= @t490 (= @t257 @t257))) % 7.01/7.25 (define @t492 () (or @t286 @t285 @t283 @t281 @t280 @t278 @t488 @t486 @t484 @t482 @t491)) % 7.01/7.25 (define @t493 () (forall @t417 (or @t32 @t196 @t195 @t412 @t411 @t410 @t409 @t408 @t407 @t406 (= @t404 (= @t398 @t397))))) % 7.01/7.25 (define @t494 () (@list false)) % 7.01/7.25 (define @t495 () (or @t218 @t196 @t195 @t239 @t88 @t362)) % 7.01/7.25 (define @t496 () (and @t487 @t485 @t483 @t481)) % 7.01/7.25 (define @t497 () (or @t286 @t285 @t283 @t281 @t280 @t377 @t496)) % 7.01/7.25 (define @t498 () (not @t496)) % 7.01/7.25 (define @t499 () (@list @t496)) % 7.01/7.25 (define @t500 () (or @t349 (= @t380 @t265))) % 7.01/7.25 (define @t501 () (= @t265 @t380)) % 7.01/7.25 (define @t502 () (or @t349 @t501)) % 7.01/7.25 (define @t503 () (@list @t480)) % 7.01/7.25 (define @t504 () (or @t274 (= @t385 @t258))) % 7.01/7.25 (define @t505 () (= @t258 @t385)) % 7.01/7.25 (define @t506 () (or @t274 @t505)) % 7.01/7.25 (define @t507 () (or @t276 (= @t389 @t260))) % 7.01/7.25 (define @t508 () (= @t260 @t389)) % 7.01/7.25 (define @t509 () (or @t276 @t508)) % 7.01/7.25 (define @t510 () (= @t2 @t161)) % 7.01/7.25 (define @t511 () (= @t261 @t393)) % 7.01/7.25 (define @t512 () (or @t383 @t274 @t511)) % 7.01/7.25 (define @t513 () (not @t133)) % 7.01/7.25 (define @t514 () (not @t134)) % 7.01/7.25 (define @t515 () (not @t135)) % 7.01/7.25 (define @t516 () (or @t515 @t514 @t454 @t453 @t513)) % 7.01/7.25 (define @t517 () (tptp.m1_relset_1 @t257 @t263 @t261)) % 7.01/7.25 (define @t518 () (= @t481 @t517)) % 7.01/7.25 (define @t519 () (= @t517 @t481)) % 7.01/7.25 (define @t520 () (@var "BOUND_VARIABLE_9209" $$unsorted)) % 7.01/7.25 (define @t521 () (tptp.l1_pre_topc @t520)) % 7.01/7.25 (define @t522 () (not (tptp.m2_tsp_1 @t520 @t3))) % 7.01/7.25 (define @t523 () (or @t522 @t521)) % 7.01/7.25 (define @t524 () (or @t195 @t523)) % 7.01/7.25 (define @t525 () (forall (@list @t3 @t520) @t524)) % 7.01/7.25 (define @t526 () (@list @t520)) % 7.01/7.25 (define @t527 () (forall @t526 @t524)) % 7.01/7.25 (define @t528 () (forall @t526 @t523)) % 7.01/7.25 (define @t529 () (or @t195 @t528)) % 7.01/7.25 (define @t530 () (forall @t28 (or @t212 @t144))) % 7.01/7.25 (define @t531 () (tptp.l1_pre_topc @t255)) % 7.01/7.25 (define @t532 () (or @t283 @t278 @t531)) % 7.01/7.25 (define @t533 () (tptp.l1_struct_0 @t255)) % 7.01/7.25 (define @t534 () (not @t531)) % 7.01/7.25 (define @t535 () (or @t534 @t533)) % 7.01/7.25 (define @t536 () (tptp.l1_struct_0 @t256)) % 7.01/7.25 (define @t537 () (or @t283 @t536)) % 7.01/7.25 (define @t538 () (tptp.k1_zfmisc_1 @t261)) % 7.01/7.25 (define @t539 () (tptp.m1_subset_1 @t258 @t538)) % 7.01/7.25 (define @t540 () (not @t517)) % 7.01/7.25 (define @t541 () (not @t533)) % 7.01/7.25 (define @t542 () (not @t536)) % 7.01/7.25 (define @t543 () (or @t542 @t541 @t488 @t486 @t540 @t539)) % 7.01/7.25 (define @t544 () (@list false false false false false false)) % 7.01/7.25 (define @t545 () (tptp.m1_subset_1 @t260 @t538)) % 7.01/7.25 (define @t546 () (or @t542 @t541 @t488 @t486 @t540 @t545)) % 7.01/7.25 (define @t547 () (tptp.k3_xboole_0 @t260 @t258)) % 7.01/7.25 (define @t548 () (= @t262 @t547)) % 7.01/7.25 (define @t549 () (not @t539)) % 7.01/7.25 (define @t550 () (not @t545)) % 7.01/7.25 (define @t551 () (or @t550 @t549 @t548)) % 7.01/7.25 (define @t552 () (tptp.k5_subset_1 @t263 @t254 @t259)) % 7.01/7.25 (define @t553 () (= @t264 @t552)) % 7.01/7.25 (define @t554 () (or @t276 @t274 @t553)) % 7.01/7.25 (define @t555 () (= @t547 (tptp.k3_xboole_0 @t258 @t260))) % 7.01/7.25 (define @t556 () (= (tptp.k3_tex_4 @t256 @t552) @t338)) % 7.01/7.25 (define @t557 () (tptp.k3_xboole_0 @t261 @t326)) % 7.01/7.25 (define @t558 () (= (tptp.k3_xboole_0 @t392 @t325) @t557)) % 7.01/7.25 (define @t559 () (tptp.k3_xboole_0 @t258 @t388)) % 7.01/7.25 (define @t560 () (= (tptp.k3_xboole_0 (tptp.k3_xboole_0 @t258 @t261) @t324) @t559)) % 7.01/7.25 (define @t561 () (tptp.k3_xboole_0 @t326 @t261)) % 7.01/7.25 (define @t562 () (= @t557 @t561)) % 7.01/7.25 (define @t563 () (tptp.k3_xboole_0 @t326 @t324)) % 7.01/7.25 (define @t564 () (= @t563 (tptp.k3_xboole_0 @t261 @t337))) % 7.01/7.25 (define @t565 () (and @t553 @t548 @t555 @t511 @t508 @t505 @t501 @t394 @t390 @t386 @t381 @t556 @t339 @t558 @t560 @t562 @t564)) % 7.01/7.25 (define @t566 () (not @t556)) % 7.01/7.25 (define @t567 () (and @t268 @t270)) % 7.01/7.25 (define @t568 () (or @t286 @t285 @t283 @t274 @t276 @t567 @t556)) % 7.01/7.25 (define @t569 () (not @t567)) % 7.01/7.25 (define @t570 () (@list @t567)) % 7.01/7.25 (assume @p1 @t38) % 7.01/7.25 (assume @p2 (forall @t40 (=> @t39 (not (tptp.r2_hidden @t2 @t3))))) % 7.01/7.25 (assume @p3 (forall @t36 (=> @t43 (forall @t28 (=> @t42 @t41))))) % 7.01/7.25 (assume @p4 (forall @t36 (=> @t30 (=> (and @t33 @t31 @t48 @t51) (and @t33 @t50 @t31 @t48 @t46 (not @t44)))))) % 7.01/7.25 (assume @p5 (forall @t36 (=> @t34 (forall @t28 (=> @t56 (=> @t55 (and @t53 (not @t52)))))))) % 7.01/7.25 (assume @p6 (forall @t36 (=> @t58 (forall @t28 (=> @t42 (and @t41 @t57)))))) % 7.01/7.25 (assume @p7 (forall @t36 (=> (and @t33 @t31 @t51 @t30) (forall @t28 (=> @t56 (=> @t25 @t60)))))) % 7.01/7.25 (assume @p8 (forall @t36 (=> @t62 (forall @t28 (=> @t42 (and @t41 @t57 @t61)))))) % 7.01/7.25 (assume @p9 (forall @t36 (=> @t66 (forall @t28 (=> @t56 (=> (and @t25 @t64) (and @t25 (not (tptp.v3_realset2 @t2)) @t63))))))) % 7.01/7.25 (assume @p10 (forall @t36 (=> @t68 (forall @t28 (=> @t42 (and @t41 @t57 @t67 @t61)))))) % 7.01/7.25 (assume @p11 (forall @t36 (=> @t66 (forall @t28 (=> @t56 (=> @t60 (and @t25 @t54))))))) % 7.01/7.25 (assume @p12 (forall @t36 (=> @t69 (forall @t28 (=> @t42 (and @t41 (tptp.v4_ordinal2 @t2) @t57 @t67 @t61)))))) % 7.01/7.25 (assume @p13 (forall @t36 (=> @t70 (and @t43 @t58 @t62 @t68 @t69)))) % 7.01/7.25 (assume @p14 (forall @t36 (=> @t43 (forall @t28 (=> @t73 @t71))))) % 7.01/7.25 (assume @p15 (forall @t36 (=> @t58 (forall @t28 (=> @t73 (and @t71 @t74)))))) % 7.01/7.25 (assume @p16 (forall @t36 (=> @t62 (forall @t28 (=> @t73 (and @t71 @t74 @t75)))))) % 7.01/7.25 (assume @p17 (forall @t36 (=> @t68 (forall @t28 (=> @t73 (and @t71 @t74 @t75 @t76)))))) % 7.01/7.25 (assume @p18 (forall @t36 (=> @t69 @t68))) % 7.01/7.25 (assume @p19 (forall @t36 (=> @t77 (forall @t28 (=> @t56 @t53))))) % 7.01/7.25 (assume @p20 (forall @t80 (=> @t79 (tptp.v1_relat_1 @t5)))) % 7.01/7.25 (assume @p21 (forall @t36 (=> @t77 (forall @t28 (=> @t84 (=> @t83 (and @t82 @t81))))))) % 7.01/7.25 (assume @p22 (forall @t36 (=> @t30 (=> (and @t33 @t49) (and @t33 @t51))))) % 7.01/7.25 (assume @p23 (forall @t36 (=> @t85 (forall @t28 (=> @t56 (=> (and @t25 @t23) @t60)))))) % 7.01/7.25 (assume @p24 (forall @t36 (=> @t69 (forall @t28 (=> @t73 (and @t71 @t74 @t75 @t76 @t86)))))) % 7.01/7.25 (assume @p25 (forall @t36 (=> @t68 @t62))) % 7.01/7.25 (assume @p26 (forall @t36 (=> @t30 (forall @t28 (=> @t84 (=> @t83 @t87)))))) % 7.01/7.25 (assume @p27 (forall @t36 (=> @t30 (=> (and @t33 @t65) (and @t33 @t50))))) % 7.01/7.25 (assume @p28 (forall @t36 (=> @t85 (forall @t28 (=> @t56 (=> (and @t25 @t63) (and @t25 @t88))))))) % 7.01/7.25 (assume @p29 (forall @t36 (=> @t62 @t58))) % 7.01/7.25 (assume @p30 (forall @t36 (=> @t77 (forall @t28 (=> @t84 (=> @t83 @t89)))))) % 7.01/7.25 (assume @p31 (forall @t36 (=> @t30 (=> (and @t33 @t31 @t47) (and @t33 @t31 @t51))))) % 7.01/7.25 (assume @p32 (forall @t36 (=> @t34 (forall @t28 (=> @t56 (=> @t23 (and @t53 @t90))))))) % 7.01/7.25 (assume @p33 (forall @t36 (=> @t58 @t43))) % 7.01/7.25 (assume @p34 (forall @t36 (=> @t77 (forall @t28 (=> @t84 (=> @t89 @t87)))))) % 7.01/7.25 (assume @p35 (forall @t36 (=> @t30 (=> (and @t33 @t31 @t65) (and @t33 @t50 @t31 @t48))))) % 7.01/7.25 (assume @p36 (forall @t36 (=> @t34 (forall @t28 (=> @t56 (=> (not @t90) @t91)))))) % 7.01/7.25 (assume @p37 (forall @t36 (=> @t77 (forall @t28 (=> @t84 (=> (and @t81 @t87) (and @t87 @t89))))))) % 7.01/7.25 (assume @p38 (forall @t36 (=> @t30 (=> (and @t33 @t50 @t31 @t45) (and @t33 @t50 @t31 @t65))))) % 7.01/7.25 (assume @p39 (forall @t36 (=> @t34 (forall @t28 (=> @t56 (=> (and @t93 @t23) @t92)))))) % 7.01/7.25 (assume @p40 (forall @t36 (=> @t77 (forall @t28 (=> @t84 (=> (and @t82 @t89) (and @t83 @t82 @t81 @t71 @t74 @t75 @t76 @t86 @t87 @t89))))))) % 7.01/7.25 (assume @p41 (forall @t36 (=> @t30 (=> (and @t33 @t31 @t45 @t51) (and @t33 @t49 @t31 @t47 @t45 @t44 @t95 @t94 @t51))))) % 7.01/7.25 (assume @p42 (forall @t36 (=> @t34 (forall @t28 (=> @t56 (=> (and @t93 @t54) @t91)))))) % 7.01/7.25 (assume @p43 (forall @t36 (=> @t30 (=> (and @t33 @t50 @t31 @t51) (and @t33 @t50 @t31 @t46))))) % 7.01/7.25 (assume @p44 (forall @t36 (=> @t34 (forall @t28 (=> @t56 (=> @t55 (and @t53 (not @t93)))))))) % 7.01/7.25 (assume @p45 (forall @t36 (=> @t30 (=> (and @t33 @t31 @t44 @t51) (and @t33 @t31 @t47 @t44 @t95 @t94 @t51))))) % 7.01/7.25 (assume @p46 (forall @t36 (=> @t34 (forall @t28 (=> @t56 (=> (and @t52 @t23) @t92)))))) % 7.01/7.25 (assume @p47 (forall @t36 (=> @t30 (=> (and @t33 @t31 @t48 @t44) (and @t33 @t50 @t31 @t48 @t65))))) % 7.01/7.25 (assume @p48 (forall @t36 (=> @t34 (forall @t28 (=> @t56 (=> (and @t54 @t52) @t91)))))) % 7.01/7.25 (assume @p49 (forall @t40 (= @t97 @t96))) % 7.01/7.25 (assume @p50 @t102) % 7.01/7.25 (assume @p51 @t124) % 7.01/7.25 (assume @p52 (forall @t40 (=> @t126 (and (tptp.v1_funct_1 @t125) (tptp.v1_funct_2 @t125 @t8 @t7) (tptp.v5_pre_topc @t125 @t3 @t2) (tptp.m2_relset_1 @t125 @t8 @t7))))) % 7.01/7.25 (assume @p53 true) % 7.01/7.25 (assume @p54 @t130) % 7.01/7.25 (assume @p55 @t138) % 7.01/7.25 (assume @p56 @t140) % 7.01/7.25 (assume @p57 @t142) % 7.01/7.25 (assume @p58 @t143) % 7.01/7.25 (assume @p59 (forall @t36 (=> @t30 (forall @t28 (=> @t56 @t144))))) % 7.01/7.25 (assume @p60 (forall @t80 (=> @t145 @t79))) % 7.01/7.25 (assume @p61 @t148) % 7.01/7.25 (assume @p62 (exists @t36 @t30)) % 7.01/7.25 (assume @p63 (exists @t36 @t135)) % 7.01/7.25 (assume @p64 (forall @t36 (=> @t30 (exists @t28 @t56)))) % 7.01/7.25 (assume @p65 (forall @t40 (exists @t20 @t149))) % 7.01/7.25 (assume @p66 (forall @t36 (exists @t28 @t42))) % 7.01/7.25 (assume @p67 (forall @t40 (exists @t20 @t145))) % 7.01/7.25 (assume @p68 (forall @t36 (=> @t30 (exists @t28 @t22)))) % 7.01/7.25 (assume @p69 (forall @t36 (=> @t150 (not (tptp.v1_xboole_0 @t8))))) % 7.01/7.25 (assume @p70 (forall @t36 (not (tptp.v1_xboole_0 @t72)))) % 7.01/7.25 (assume @p71 (forall @t40 (=> @t43 @t151))) % 7.01/7.25 (assume @p72 (forall @t40 (=> @t43 @t152))) % 7.01/7.25 (assume @p73 (forall @t40 (=> @t58 (and @t151 @t153)))) % 7.01/7.25 (assume @p74 (forall @t40 (=> @t58 (and @t152 @t154)))) % 7.01/7.25 (assume @p75 (forall @t40 (=> @t62 (and @t151 @t153 @t155)))) % 7.01/7.25 (assume @p76 (forall @t40 (=> @t62 (and @t152 @t154 @t156)))) % 7.01/7.25 (assume @p77 (forall @t40 (=> @t68 (and @t151 @t153 @t155 @t157)))) % 7.01/7.25 (assume @p78 (forall @t40 (=> @t68 (and @t152 @t154 @t156 @t158)))) % 7.01/7.25 (assume @p79 (forall @t40 (=> @t69 (and @t151 @t153 @t155 @t157 (tptp.v5_membered @t97))))) % 7.01/7.25 (assume @p80 (forall @t40 (=> @t69 (and @t152 @t154 @t156 @t158 (tptp.v5_membered @t96))))) % 7.01/7.25 (assume @p81 (forall @t40 (=> (and @t160 @t159) (not (tptp.v1_xboole_0 @t78))))) % 7.01/7.25 (assume @p82 (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))) % 7.01/7.25 (assume @p83 (forall @t40 (= (tptp.k3_xboole_0 @t3 @t3) @t3))) % 7.01/7.25 (assume @p84 @t163) % 7.01/7.25 (assume @p85 (exists @t36 (and @t160 @t43 @t58 @t62 @t68 @t69))) % 7.01/7.25 (assume @p86 (forall @t36 (=> @t160 (exists @t28 (and @t73 @t159))))) % 7.01/7.25 (assume @p87 (forall @t36 (=> @t77 (exists @t28 (and @t84 @t82))))) % 7.01/7.25 (assume @p88 (forall @t36 (exists @t28 (and @t73 @t83)))) % 7.01/7.25 (assume @p89 (forall @t36 (=> @t77 (exists @t28 (and @t84 @t82 @t81))))) % 7.01/7.25 (assume @p90 (exists @t36 (and @t135 @t33))) % 7.01/7.25 (assume @p91 (forall @t36 (=> @t34 (exists @t28 (and @t84 @t159 @t82 @t81))))) % 7.01/7.25 (assume @p92 (forall @t36 (=> @t30 (exists @t28 (and @t84 @t83 @t71 @t74 @t75 @t76 @t86 @t87))))) % 7.01/7.25 (assume @p93 (forall @t36 (=> @t150 (exists @t28 (and @t84 @t159))))) % 7.01/7.25 (assume @p94 (forall @t36 (=> @t77 (exists @t28 (and @t84 @t83 @t82 @t81 @t71 @t74 @t75 @t76 @t86 @t87 @t89))))) % 7.01/7.25 (assume @p95 (forall @t36 (=> @t77 (exists @t28 (and @t84 @t81))))) % 7.01/7.25 (assume @p96 (forall @t36 (=> @t34 (exists @t28 (and @t84 @t159 @t81))))) % 7.01/7.25 (assume @p97 (forall @t137 (=> @t136 (= @t131 (tptp.k9_relat_1 @t5 @t1))))) % 7.01/7.25 (assume @p98 (forall @t40 (=> @t126 (= @t4 @t125)))) % 7.01/7.25 (assume @p99 @t166) % 7.01/7.25 (assume @p100 @t167) % 7.01/7.25 (assume @p101 @t169) % 7.01/7.25 (assume @p102 (forall @t40 (tptp.r1_tarski @t3 @t3))) % 7.01/7.25 (assume @p103 (forall @t80 (= (tptp.k3_xboole_0 @t97 @t5) (tptp.k3_xboole_0 @t3 @t164)))) % 7.01/7.25 (assume @p104 (forall @t40 (=> @t39 @t170))) % 7.01/7.25 (assume @p105 @t174) % 7.01/7.25 (assume @p106 (forall @t36 (= (tptp.k3_xboole_0 @t3 tptp.k1_xboole_0) tptp.k1_xboole_0))) % 7.01/7.25 (assume @p107 (forall @t40 (=> @t170 (or @t83 @t39)))) % 7.01/7.25 (assume @p108 (forall @t40 (= (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t2)) (tptp.r1_tarski @t3 @t2)))) % 7.01/7.25 (assume @p109 (forall @t80 (=> (and @t39 @t175) (tptp.m1_subset_1 @t3 @t5)))) % 7.01/7.25 (assume @p110 (forall @t80 (not (and @t39 @t175 (tptp.v1_xboole_0 @t5))))) % 7.01/7.25 (assume @p111 @t183) % 7.01/7.25 (assume @p112 (forall @t36 (=> @t70 (= @t3 tptp.k1_xboole_0)))) % 7.01/7.25 (assume @p113 (forall @t40 (not (and @t39 @t83)))) % 7.01/7.25 (assume @p114 (forall @t40 (not (and @t70 (not (= @t3 @t2)) @t83)))) % 7.01/7.25 (step @p115 :rule aci_norm :args ((= @t199 @t197))) % 7.01/7.25 (step @p116 :rule cong :premises (@p115) :args (@t201)) % 7.01/7.25 (step @p117 :rule quant-merge-prenex :args ((= (forall @t36 @t203) @t201))) % 7.01/7.25 (step @p118 :rule alpha_equiv :args (@t204 (@list @t185 @t187 @t184) (@list @t2 @t206 @t205))) % 7.01/7.25 (step @p119 :rule refl :args (@t195)) % 7.01/7.25 (step @p120 :rule refl :args (@t196)) % 7.01/7.25 (step @p121 :rule refl :args (@t32)) % 7.01/7.25 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119 @p118) :args (@t207)) % 7.01/7.25 (step @p123 :rule quant-miniscope-or :args ((= @t203 @t207))) % 7.01/7.25 (step @p124 :rule trans :premises (@p123 @p122)) % 7.01/7.25 (step @p125 :rule symm :premises (@p124)) % 7.01/7.25 (step @p126 :rule cong :premises (@p125) :args ((forall @t36 @t216))) % 7.01/7.25 (step @p127 :rule trans :premises (@p126 @p117)) % 7.01/7.25 (step @p128 :rule trans :premises (@p127 @p116)) % 7.01/7.25 (step @p129 :rule aci_norm :args ((= (or @t217 @t215) @t216))) % 7.01/7.25 (step @p130 :rule refl :args (@t215)) % 7.01/7.25 (step @p131 :rule bool-double-not-elim :args (@t32)) % 7.01/7.25 (step @p132 :rule nary_cong :premises (@p131 @p120 @p119) :args (@t219)) % 7.01/7.25 (step @p133 :rule aci_norm :args ((= (or @t218 (or @t196 @t195)) @t219))) % 7.01/7.25 (step @p134 :rule trans :premises (@p133 @p132)) % 7.01/7.25 (step @p135 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 7.01/7.25 (step @p136 :rule refl :args (@t218)) % 7.01/7.25 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((or @t218 (not @t77)))) % 7.01/7.25 (step @p138 :rule bool-and-de-morgan :args (@t33 @t31 (and @t30))) % 7.01/7.25 (step @p139 :rule trans :premises (@p138 @p137)) % 7.01/7.25 (step @p140 :rule trans :premises (@p139 @p134)) % 7.01/7.25 (step @p141 :rule nary_cong :premises (@p140 @p130) :args ((or @t220 @t215))) % 7.01/7.25 (step @p142 :rule trans :premises (@p141 @p129)) % 7.01/7.25 (step @p143 :rule bool-impl-elim :args (@t34 @t215)) % 7.01/7.25 (step @p144 :rule trans :premises (@p143 @p142)) % 7.01/7.25 (step @p145 :rule cong :premises (@p144) :args ((forall @t36 (=> @t34 @t215)))) % 7.01/7.25 (step @p146 :rule trans :premises (@p145 @p128)) % 7.01/7.25 (step @p147 :rule aci_norm :args ((= @t222 @t213))) % 7.01/7.25 (step @p148 :rule cong :premises (@p147) :args (@t223)) % 7.01/7.25 (step @p149 :rule quant-merge-prenex :args ((= (forall @t28 @t225) @t223))) % 7.01/7.25 (step @p150 :rule alpha_equiv :args (@t226 (@list @t206 @t205) (@list @t5 @t227))) % 7.01/7.25 (step @p151 :rule refl :args (@t212)) % 7.01/7.25 (step @p152 :rule refl :args (@t88)) % 7.01/7.25 (step @p153 :rule refl :args (@t24)) % 7.01/7.25 (step @p154 :rule nary_cong :premises (@p153 @p152 @p151 @p150) :args (@t228)) % 7.01/7.25 (step @p155 :rule quant-miniscope-or :args ((= @t225 @t228))) % 7.01/7.25 (step @p156 :rule trans :premises (@p155 @p154)) % 7.01/7.25 (step @p157 :rule symm :premises (@p156)) % 7.01/7.25 (step @p158 :rule cong :premises (@p157) :args ((forall @t28 @t237))) % 7.01/7.25 (step @p159 :rule trans :premises (@p158 @p149)) % 7.01/7.25 (step @p160 :rule trans :premises (@p159 @p148)) % 7.01/7.25 (step @p161 :rule aci_norm :args ((= (or @t238 @t236) @t237))) % 7.01/7.25 (step @p162 :rule refl :args (@t236)) % 7.01/7.25 (step @p163 :rule bool-double-not-elim :args (@t24)) % 7.01/7.25 (step @p164 :rule nary_cong :premises (@p163 @p152 @p151) :args (@t240)) % 7.01/7.25 (step @p165 :rule aci_norm :args ((= (or @t239 (or @t88 @t212)) @t240))) % 7.01/7.25 (step @p166 :rule trans :premises (@p165 @p164)) % 7.01/7.25 (step @p167 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 7.01/7.25 (step @p168 :rule refl :args (@t239)) % 7.01/7.25 (step @p169 :rule nary_cong :premises (@p168 @p167) :args ((or @t239 (not (and @t23 @t22))))) % 7.01/7.25 (step @p170 :rule bool-and-de-morgan :args (@t25 @t23 (and @t22))) % 7.01/7.25 (step @p171 :rule trans :premises (@p170 @p169)) % 7.01/7.25 (step @p172 :rule trans :premises (@p171 @p166)) % 7.01/7.25 (step @p173 :rule nary_cong :premises (@p172 @p162) :args ((or @t241 @t236))) % 7.01/7.25 (step @p174 :rule trans :premises (@p173 @p161)) % 7.01/7.25 (step @p175 :rule bool-impl-elim :args (@t26 @t236)) % 7.01/7.25 (step @p176 :rule trans :premises (@p175 @p174)) % 7.01/7.25 (step @p177 :rule cong :premises (@p176) :args ((forall @t28 (=> @t26 @t236)))) % 7.01/7.25 (step @p178 :rule trans :premises (@p177 @p160)) % 7.01/7.25 (step @p179 :rule aci_norm :args ((= @t243 @t234))) % 7.01/7.25 (step @p180 :rule cong :premises (@p179) :args (@t244)) % 7.01/7.25 (step @p181 :rule quant-merge-prenex :args ((= (forall @t20 @t246) @t244))) % 7.01/7.25 (step @p182 :rule alpha_equiv :args (@t247 (@list @t227) (@list @t1))) % 7.01/7.25 (step @p183 :rule refl :args (@t233)) % 7.01/7.25 (step @p184 :rule nary_cong :premises (@p183 @p182) :args (@t248)) % 7.01/7.25 (step @p185 :rule quant-miniscope-or :args ((= @t246 @t248))) % 7.01/7.25 (step @p186 :rule trans :premises (@p185 @p184)) % 7.01/7.25 (step @p187 :rule symm :premises (@p186)) % 7.01/7.25 (step @p188 :rule cong :premises (@p187) :args ((forall @t20 (or @t233 @t252)))) % 7.01/7.25 (step @p189 :rule trans :premises (@p188 @p181)) % 7.01/7.25 (step @p190 :rule trans :premises (@p189 @p180)) % 7.01/7.25 (step @p191 :rule bool-impl-elim :args (@t18 @t252)) % 7.01/7.25 (step @p192 :rule cong :premises (@p191) :args ((forall @t20 (=> @t18 @t252)))) % 7.01/7.25 (step @p193 :rule trans :premises (@p192 @p190)) % 7.01/7.25 (step @p194 :rule aci_norm :args ((= (or @t250 (or @t249 @t9)) @t251))) % 7.01/7.25 (step @p195 :rule refl :args (@t9)) % 7.01/7.25 (step @p196 :rule bool-or-de-morgan :args (@t11 @t10 false)) % 7.01/7.25 (step @p197 :rule nary_cong :premises (@p196 @p195) :args ((or (not @t12) @t9))) % 7.01/7.25 (step @p198 :rule bool-impl-elim :args (@t12 @t9)) % 7.01/7.25 (step @p199 :rule trans :premises (@p198 @p197)) % 7.01/7.25 (step @p200 :rule refl :args (@t250)) % 7.01/7.25 (step @p201 :rule nary_cong :premises (@p200 @p199) :args ((or @t250 @t13))) % 7.01/7.25 (step @p202 :rule trans :premises (@p201 @p194)) % 7.01/7.25 (step @p203 :rule bool-impl-elim :args (@t15 @t13)) % 7.01/7.25 (step @p204 :rule trans :premises (@p203 @p202)) % 7.01/7.25 (step @p205 :rule cong :premises (@p204) :args (@t17)) % 7.01/7.25 (step @p206 :rule refl :args (@t18)) % 7.01/7.25 (step @p207 :rule cong :premises (@p206 @p205) :args (@t19)) % 7.01/7.25 (step @p208 :rule cong :premises (@p207) :args (@t21)) % 7.01/7.25 (step @p209 :rule trans :premises (@p208 @p193)) % 7.01/7.25 (step @p210 :rule refl :args (@t26)) % 7.01/7.25 (step @p211 :rule cong :premises (@p210 @p209) :args (@t27)) % 7.01/7.25 (step @p212 :rule cong :premises (@p211) :args (@t29)) % 7.01/7.25 (step @p213 :rule trans :premises (@p212 @p178)) % 7.01/7.25 (step @p214 :rule refl :args (@t34)) % 7.01/7.25 (step @p215 :rule cong :premises (@p214 @p213) :args (@t35)) % 7.01/7.25 (step @p216 :rule cong :premises (@p215) :args (@t37)) % 7.01/7.25 (step @p217 :rule trans :premises (@p216 @p146)) % 7.01/7.25 (step @p218 :rule cong :premises (@p217) :args (@t38)) % 7.01/7.25 (step @p219 :rule eq_resolve :premises (@p1 @p218)) % 7.01/7.25 (step @p220 :rule skolemize :premises (@p219)) % 7.01/7.25 (step @p221 :rule cnf_or_neg :args (@t287 8)) % 7.01/7.25 (step @p222 :rule chain_m_resolution :premises (@p221 @p220) :args ((not @t271) @t288 @t289)) % 7.01/7.25 (step @p223 :rule aci_norm :args ((= @t297 (or @t32 @t196 @t195 @t295 @t294 @t293 @t292)))) % 7.01/7.25 (step @p224 :rule cong :premises (@p223) :args (@t298)) % 7.01/7.25 (step @p225 :rule quant-merge-prenex :args ((= (forall @t36 @t300) @t298))) % 7.01/7.25 (step @p226 :rule alpha_equiv :args (@t301 (@list @t291 @t290) (@list @t2 @t302))) % 7.01/7.25 (step @p227 :rule nary_cong :premises (@p121 @p120 @p119 @p226) :args (@t303)) % 7.01/7.25 (step @p228 :rule quant-miniscope-or :args ((= @t300 @t303))) % 7.01/7.25 (step @p229 :rule trans :premises (@p228 @p227)) % 7.01/7.25 (step @p230 :rule symm :premises (@p229)) % 7.01/7.25 (step @p231 :rule cong :premises (@p230) :args ((forall @t36 @t312))) % 7.01/7.25 (step @p232 :rule trans :premises (@p231 @p225)) % 7.01/7.25 (step @p233 :rule trans :premises (@p232 @p224)) % 7.01/7.25 (step @p234 :rule aci_norm :args ((= (or @t217 @t311) @t312))) % 7.01/7.25 (step @p235 :rule refl :args (@t311)) % 7.01/7.25 (step @p236 :rule nary_cong :premises (@p140 @p235) :args ((or @t220 @t311))) % 7.01/7.25 (step @p237 :rule trans :premises (@p236 @p234)) % 7.01/7.25 (step @p238 :rule bool-impl-elim :args (@t34 @t311)) % 7.01/7.25 (step @p239 :rule trans :premises (@p238 @p237)) % 7.01/7.25 (step @p240 :rule cong :premises (@p239) :args ((forall @t36 (=> @t34 @t311)))) % 7.01/7.25 (step @p241 :rule trans :premises (@p240 @p233)) % 7.01/7.25 (step @p242 :rule aci_norm :args ((= @t314 @t309))) % 7.01/7.25 (step @p243 :rule cong :premises (@p242) :args (@t315)) % 7.01/7.25 (step @p244 :rule quant-merge-prenex :args ((= (forall @t28 @t317) @t315))) % 7.01/7.25 (step @p245 :rule alpha_equiv :args (@t318 (@list @t302) @t319)) % 7.01/7.25 (step @p246 :rule refl :args (@t308)) % 7.01/7.25 (step @p247 :rule 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% 7.01/7.25 (step-pop @p1003 :rule scope :premises (@p1002)) % 7.01/7.25 (step-pop @p1004 :rule scope :premises (@p1003)) % 7.01/7.25 (step-pop @p1005 :rule scope :premises (@p1004)) % 7.01/7.25 (step-pop @p1006 :rule scope :premises (@p1005)) % 7.01/7.25 (step-pop @p1007 :rule scope :premises (@p1006)) % 7.01/7.25 (step-pop @p1008 :rule scope :premises (@p1007)) % 7.01/7.25 (step-pop @p1009 :rule scope :premises (@p1008)) % 7.01/7.25 (step-pop @p1010 :rule scope :premises (@p1009)) % 7.01/7.25 (step-pop @p1011 :rule scope :premises (@p1010)) % 7.01/7.25 (step-pop @p1012 :rule scope :premises (@p1011)) % 7.01/7.25 (step-pop @p1013 :rule scope :premises (@p1012)) % 7.01/7.25 (step-pop @p1014 :rule scope :premises (@p1013)) % 7.01/7.25 (step-pop @p1015 :rule scope :premises (@p1014)) % 7.01/7.25 (step-pop @p1016 :rule scope :premises (@p1015)) % 7.01/7.25 (step-pop @p1017 :rule scope :premises (@p1016)) % 7.01/7.25 (step @p900 :rule process_scope :premises (@p1017) :args (@t266)) % 7.01/7.25 (step @p918 :rule implies_elim :premises (@p900)) % 7.01/7.25 (step @p919 :rule cnf_and_neg :args (@t565)) % 7.01/7.25 (step @p920 :rule resolution :premises (@p919 @p918) :args (true @t565)) % 7.01/7.25 (step @p921 :rule reordering :premises (@p920) :args ((or @t266 (not @t553) (not @t548) (not @t555) (not @t511) (not @t508) (not @t505) (not @t501) (not @t394) (not @t390) (not @t386) (not @t381) @t566 (not @t339) (not @t558) (not @t560) (not @t562) (not @t564)))) % 7.01/7.28 (step @p922 :rule chain_m_resolution :premises (@p921 @p820 @p818 @p806 @p724 @p723 @p706 @p692 @p678 @p421 @p416 @p412 @p408 @p338 @p280 @p279 @p278 @p277) :args (@t566 (@list true false false false false false false false false false false false false false false false false) (@list @t266 @t553 @t548 @t555 @t511 @t508 @t505 @t501 @t394 @t390 @t386 @t381 @t339 @t558 @t560 @t562 @t564))) % 7.01/7.28 (step @p923 :rule cnf_or_pos :args (@t568)) % 7.01/7.28 (step @p924 :rule reordering :premises (@p923) :args ((or @t286 @t285 @t283 @t276 @t274 @t567 @t556 (not @t568)))) % 7.01/7.28 (step @p925 :rule chain_m_resolution :premises (@p924 @p322 @p645 @p320 @p332 @p314 @p922 @p276) :args (@t567 (@list true false false false false true false) (@list @t286 @t284 @t282 @t275 @t273 @t556 @t568))) % 7.01/7.28 (step @p926 :rule cnf_and_pos :args (@t567 0)) % 7.01/7.28 (step @p927 :rule reordering :premises (@p926) :args ((or @t268 @t569))) % 7.01/7.28 (step @p928 :rule chain_m_resolution :premises (@p927 @p925) :args (@t268 @t494 @t570)) % 7.01/7.28 (step @p929 :rule cnf_and_pos :args (@t567 1)) % 7.01/7.28 (step @p930 :rule reordering :premises (@p929) :args ((or @t270 @t569))) % 7.01/7.28 (step @p931 :rule chain_m_resolution :premises (@p930 @p925) :args (@t270 @t494 @t570)) % 7.01/7.28 (step @p932 :rule bool-double-not-elim :args (@t267)) % 7.01/7.28 (step @p933 :rule bool-double-not-elim :args (@t269)) % 7.01/7.28 (step @p934 :rule refl :args (@t271)) % 7.01/7.28 (step @p935 :rule nary_cong :premises (@p934 @p933 @p932) :args ((or @t271 (not @t270) (not @t268)))) % 7.01/7.28 (step @p936 :rule cnf_and_neg :args (@t271)) % 7.01/7.28 (step @p937 :rule eq_resolve :premises (@p936 @p935)) % 7.01/7.28 (step @p938 :rule reordering :premises (@p937) :args ((or @t269 @t267 @t271))) % 7.01/7.28 (step @p939 false :rule chain_m_resolution :premises (@p938 @p931 @p928 @p222) :args (false (@list true true true) (@list @t269 @t267 @t271))) % 7.01/7.28 ) % 7.01/7.28 % SZS output end Proof % 7.01/7.28 % cvc5 exiting %------------------------------------------------------------------------------