%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT372+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:30:32 AM UTC 2026 % Result : Theorem 1.62s 1.82s % Output : Proof 1.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT372+1 : TPTP v9.2.1. Released v3.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n016.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 06:55:54 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 1.62/1.82 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.62/1.82 % SZS status Theorem % 1.62/1.82 % SZS output start Proof % 1.62/1.82 ( % 1.62/1.82 (declare-sort $$unsorted 0) % 1.62/1.82 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.82 (declare-const tptp.v2_pralg_1 (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.k2_funcop_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.82 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.82 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 1.62/1.82 (declare-const tptp.v1_yellow_1 (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.k7_yellow_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.82 (declare-const tptp.k2_yellow_0 (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.82 (declare-const tptp.r2_yellow_0 (-> $$unsorted $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.k1_borsuk_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.82 (declare-const tptp.k1_waybel_0 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.82 (declare-const tptp.v20_waybel_0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.k1_yellow_0 (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.82 (declare-const tptp.v5_orders_3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.v1_setfam_1 (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.k4_pre_topc (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.82 (declare-const tptp.k3_borsuk_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.62/1.82 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.82 (declare-const tptp.r4_waybel_0 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.k1_xboole_0 $$unsorted) % 1.62/1.82 (declare-const tptp.v22_waybel_0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 1.62/1.82 (declare-const tptp.v2_orders_2 (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.v4_orders_2 (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.v1_yellow_0 (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.v5_waybel_3 (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.l1_orders_2 (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.k1_struct_0 (-> $$unsorted $$unsorted $$unsorted)) % 1.62/1.82 (declare-const tptp.v18_waybel_0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.r1_yellow_0 (-> $$unsorted $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.k3_yellow_0 (-> $$unsorted $$unsorted)) % 1.62/1.82 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.v4_waybel_3 (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 1.62/1.82 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 1.62/1.82 (define @t1 () (@var "B" $$unsorted)) % 1.62/1.82 (define @t2 () (@var "A" $$unsorted)) % 1.62/1.82 (define @t3 () (tptp.v18_waybel_0 (tptp.k3_borsuk_1 @t2 @t1 (tptp.k3_yellow_0 @t1)) @t2 @t1)) % 1.62/1.82 (define @t4 () (tptp.l1_orders_2 @t1)) % 1.62/1.82 (define @t5 () (tptp.v1_yellow_0 @t1)) % 1.62/1.82 (define @t6 () (tptp.v4_orders_2 @t1)) % 1.62/1.82 (define @t7 () (tptp.v2_orders_2 @t1)) % 1.62/1.82 (define @t8 () (tptp.v3_struct_0 @t1)) % 1.62/1.82 (define @t9 () (not @t8)) % 1.62/1.82 (define @t10 () (and @t9 @t7 @t6 @t5 @t4)) % 1.62/1.82 (define @t11 () (@list @t1)) % 1.62/1.82 (define @t12 () (forall @t11 (=> @t10 @t3))) % 1.62/1.82 (define @t13 () (tptp.l1_orders_2 @t2)) % 1.62/1.82 (define @t14 () (tptp.v3_struct_0 @t2)) % 1.62/1.82 (define @t15 () (not @t14)) % 1.62/1.82 (define @t16 () (and @t15 @t13)) % 1.62/1.82 (define @t17 () (=> @t16 @t12)) % 1.62/1.82 (define @t18 () (@list @t2)) % 1.62/1.82 (define @t19 () (forall @t18 @t17)) % 1.62/1.82 (define @t20 () (not @t19)) % 1.62/1.82 (define @t21 () (tptp.r2_hidden @t1 @t2)) % 1.62/1.82 (define @t22 () (tptp.r2_hidden @t2 @t1)) % 1.62/1.82 (define @t23 () (@list @t2 @t1)) % 1.62/1.82 (define @t24 () (tptp.v1_xcmplx_0 @t1)) % 1.62/1.82 (define @t25 () (tptp.m1_subset_1 @t1 @t2)) % 1.62/1.82 (define @t26 () (tptp.v1_membered @t2)) % 1.62/1.82 (define @t27 () (tptp.v1_xreal_0 @t1)) % 1.62/1.82 (define @t28 () (tptp.v2_membered @t2)) % 1.62/1.82 (define @t29 () (tptp.v1_rat_1 @t1)) % 1.62/1.82 (define @t30 () (tptp.v3_membered @t2)) % 1.62/1.82 (define @t31 () (tptp.v1_int_1 @t1)) % 1.62/1.82 (define @t32 () (tptp.v4_membered @t2)) % 1.62/1.82 (define @t33 () (tptp.v5_membered @t2)) % 1.62/1.82 (define @t34 () (tptp.v1_xboole_0 @t2)) % 1.62/1.82 (define @t35 () (tptp.v1_membered @t1)) % 1.62/1.82 (define @t36 () (tptp.k1_zfmisc_1 @t2)) % 1.62/1.82 (define @t37 () (tptp.m1_subset_1 @t1 @t36)) % 1.62/1.82 (define @t38 () (tptp.v2_membered @t1)) % 1.62/1.82 (define @t39 () (tptp.v3_membered @t1)) % 1.62/1.82 (define @t40 () (tptp.v4_membered @t1)) % 1.62/1.82 (define @t41 () (tptp.v1_finset_1 @t2)) % 1.62/1.82 (define @t42 () (tptp.v1_funct_1 @t2)) % 1.62/1.82 (define @t43 () (@var "C" $$unsorted)) % 1.62/1.82 (define @t44 () (tptp.v1_relat_1 @t43)) % 1.62/1.82 (define @t45 () (tptp.k2_zfmisc_1 @t2 @t1)) % 1.62/1.82 (define @t46 () (tptp.m1_subset_1 @t43 (tptp.k1_zfmisc_1 @t45))) % 1.62/1.82 (define @t47 () (@list @t2 @t1 @t43)) % 1.62/1.82 (define @t48 () (tptp.v1_xboole_0 @t1)) % 1.62/1.82 (define @t49 () (not @t48)) % 1.62/1.82 (define @t50 () (not @t34)) % 1.62/1.82 (define @t51 () (and @t50 (tptp.v1_setfam_1 @t2))) % 1.62/1.82 (define @t52 () (tptp.u1_struct_0 @t1)) % 1.62/1.82 (define @t53 () (tptp.u1_struct_0 @t2)) % 1.62/1.82 (define @t54 () (tptp.v1_partfun1 @t43 @t53 @t52)) % 1.62/1.82 (define @t55 () (tptp.v5_orders_3 @t43 @t2 @t1)) % 1.62/1.82 (define @t56 () (tptp.v1_funct_2 @t43 @t53 @t52)) % 1.62/1.82 (define @t57 () (tptp.v1_funct_1 @t43)) % 1.62/1.82 (define @t58 () (tptp.v1_xboole_0 @t43)) % 1.62/1.82 (define @t59 () (not @t58)) % 1.62/1.82 (define @t60 () (tptp.v22_waybel_0 @t43 @t2 @t1)) % 1.62/1.82 (define @t61 () (tptp.m1_relset_1 @t43 @t53 @t52)) % 1.62/1.82 (define @t62 () (@list @t43)) % 1.62/1.82 (define @t63 () (tptp.v4_orders_2 @t2)) % 1.62/1.82 (define @t64 () (tptp.v2_orders_2 @t2)) % 1.62/1.82 (define @t65 () (tptp.v1_finset_1 @t1)) % 1.62/1.82 (define @t66 () (tptp.v1_relat_1 @t2)) % 1.62/1.82 (define @t67 () (and @t66 @t42 (tptp.v2_funct_1 @t2))) % 1.62/1.82 (define @t68 () (and @t66 @t34 @t42)) % 1.62/1.82 (define @t69 () (tptp.v20_waybel_0 @t43 @t2 @t1)) % 1.62/1.82 (define @t70 () (tptp.v18_waybel_0 @t43 @t2 @t1)) % 1.62/1.82 (define @t71 () (tptp.k3_yellow_0 @t2)) % 1.62/1.82 (define @t72 () (= @t71 (tptp.k1_yellow_0 @t2 tptp.k1_xboole_0))) % 1.62/1.82 (define @t73 () (forall @t18 (=> @t13 @t72))) % 1.62/1.82 (define @t74 () (@var "D" $$unsorted)) % 1.62/1.82 (define @t75 () (tptp.k4_pre_topc @t2 @t1 @t43 @t74)) % 1.62/1.82 (define @t76 () (and (tptp.r1_yellow_0 @t1 @t75) (= (tptp.k1_yellow_0 @t1 @t75) (tptp.k1_waybel_0 @t2 @t1 @t43 (tptp.k1_yellow_0 @t2 @t74))))) % 1.62/1.82 (define @t77 () (tptp.r1_yellow_0 @t2 @t74)) % 1.62/1.82 (define @t78 () (tptp.r4_waybel_0 @t2 @t1 @t43 @t74)) % 1.62/1.82 (define @t79 () (= @t78 (=> @t77 @t76))) % 1.62/1.82 (define @t80 () (tptp.k1_zfmisc_1 @t53)) % 1.62/1.82 (define @t81 () (tptp.m1_subset_1 @t74 @t80)) % 1.62/1.82 (define @t82 () (@list @t74)) % 1.62/1.82 (define @t83 () (forall @t82 (=> @t81 @t79))) % 1.62/1.82 (define @t84 () (tptp.m2_relset_1 @t43 @t53 @t52)) % 1.62/1.82 (define @t85 () (and @t57 @t56 @t84)) % 1.62/1.82 (define @t86 () (=> @t85 @t83)) % 1.62/1.82 (define @t87 () (forall @t62 @t86)) % 1.62/1.82 (define @t88 () (and @t9 @t4)) % 1.62/1.82 (define @t89 () (=> @t88 @t87)) % 1.62/1.82 (define @t90 () (forall @t11 @t89)) % 1.62/1.82 (define @t91 () (=> @t16 @t90)) % 1.62/1.82 (define @t92 () (forall @t18 @t91)) % 1.62/1.82 (define @t93 () (forall @t82 (=> @t81 @t78))) % 1.62/1.82 (define @t94 () (= @t70 @t93)) % 1.62/1.82 (define @t95 () (=> @t85 @t94)) % 1.62/1.82 (define @t96 () (forall @t62 @t95)) % 1.62/1.82 (define @t97 () (=> @t88 @t96)) % 1.62/1.82 (define @t98 () (forall @t11 @t97)) % 1.62/1.82 (define @t99 () (=> @t16 @t98)) % 1.62/1.82 (define @t100 () (forall @t18 @t99)) % 1.62/1.82 (define @t101 () (tptp.k3_borsuk_1 @t2 @t1 @t43)) % 1.62/1.82 (define @t102 () (= @t101 (tptp.k1_borsuk_1 @t52 @t53 @t43))) % 1.62/1.82 (define @t103 () (tptp.m1_subset_1 @t43 @t52)) % 1.62/1.82 (define @t104 () (forall @t62 (=> @t103 @t102))) % 1.62/1.82 (define @t105 () (tptp.l1_struct_0 @t1)) % 1.62/1.82 (define @t106 () (and @t9 @t105)) % 1.62/1.82 (define @t107 () (=> @t106 @t104)) % 1.62/1.82 (define @t108 () (forall @t11 @t107)) % 1.62/1.82 (define @t109 () (tptp.l1_struct_0 @t2)) % 1.62/1.82 (define @t110 () (=> @t109 @t108)) % 1.62/1.82 (define @t111 () (forall @t18 @t110)) % 1.62/1.82 (define @t112 () (tptp.k1_borsuk_1 @t2 @t1 @t43)) % 1.62/1.82 (define @t113 () (tptp.m1_subset_1 @t43 @t2)) % 1.62/1.82 (define @t114 () (and @t50 @t113)) % 1.62/1.82 (define @t115 () (tptp.k1_struct_0 @t2 @t1)) % 1.62/1.82 (define @t116 () (tptp.m1_subset_1 @t1 @t53)) % 1.62/1.82 (define @t117 () (and @t15 @t109 @t116)) % 1.62/1.82 (define @t118 () (tptp.k1_waybel_0 @t2 @t1 @t43 @t74)) % 1.62/1.82 (define @t119 () (tptp.m1_subset_1 @t118 @t52)) % 1.62/1.82 (define @t120 () (tptp.m1_subset_1 @t74 @t53)) % 1.62/1.82 (define @t121 () (and @t15 @t109 @t9 @t105 @t57 @t56 @t61 @t120)) % 1.62/1.82 (define @t122 () (@list @t2 @t1 @t43 @t74)) % 1.62/1.82 (define @t123 () (forall @t122 (=> @t121 @t119))) % 1.62/1.82 (define @t124 () (tptp.m1_subset_1 (tptp.k1_yellow_0 @t2 @t1) @t53)) % 1.62/1.82 (define @t125 () (forall @t23 (=> @t13 @t124))) % 1.62/1.82 (define @t126 () (and (tptp.v1_funct_1 @t101) (tptp.v1_funct_2 @t101 @t53 @t52) (tptp.m2_relset_1 @t101 @t53 @t52))) % 1.62/1.82 (define @t127 () (and @t109 @t9 @t105 @t103)) % 1.62/1.82 (define @t128 () (forall @t47 (=> @t127 @t126))) % 1.62/1.82 (define @t129 () (tptp.m1_subset_1 @t71 @t53)) % 1.62/1.82 (define @t130 () (forall @t18 (=> @t13 @t129))) % 1.62/1.82 (define @t131 () (and @t109 @t105 @t57 @t56 @t61)) % 1.62/1.82 (define @t132 () (tptp.k7_yellow_2 @t2 @t1 @t43 @t74)) % 1.62/1.82 (define @t133 () (and @t50 @t9 @t105 @t57 (tptp.v1_funct_2 @t43 @t2 @t52) (tptp.m1_relset_1 @t43 @t2 @t52) (tptp.m1_subset_1 @t74 @t2))) % 1.62/1.82 (define @t134 () (forall @t18 (=> @t13 @t109))) % 1.62/1.82 (define @t135 () (tptp.m2_relset_1 @t43 @t2 @t1)) % 1.62/1.82 (define @t136 () (tptp.m1_relset_1 @t43 @t2 @t1)) % 1.62/1.82 (define @t137 () (tptp.k1_tarski @t2)) % 1.62/1.82 (define @t138 () (tptp.v4_membered @t137)) % 1.62/1.82 (define @t139 () (tptp.v3_membered @t137)) % 1.62/1.82 (define @t140 () (tptp.v2_membered @t137)) % 1.62/1.82 (define @t141 () (tptp.v1_membered @t137)) % 1.62/1.82 (define @t142 () (not (tptp.v1_xboole_0 @t137))) % 1.62/1.82 (define @t143 () (not (tptp.v1_xboole_0 @t53))) % 1.62/1.82 (define @t144 () (and @t15 @t109)) % 1.62/1.82 (define @t145 () (forall @t18 (=> @t144 @t143))) % 1.62/1.82 (define @t146 () (tptp.k2_funcop_1 @t2 @t1)) % 1.62/1.82 (define @t147 () (tptp.v1_funct_1 @t146)) % 1.62/1.82 (define @t148 () (tptp.v1_relat_1 @t146)) % 1.62/1.82 (define @t149 () (tptp.k9_relat_1 @t43 @t74)) % 1.62/1.82 (define @t150 () (= @t112 (tptp.k2_funcop_1 @t1 @t43))) % 1.62/1.82 (define @t151 () (forall @t47 (=> @t114 @t150))) % 1.62/1.82 (define @t152 () (tptp.k1_tarski @t1)) % 1.62/1.82 (define @t153 () (= @t115 @t152)) % 1.62/1.82 (define @t154 () (forall @t23 (=> @t117 @t153))) % 1.62/1.82 (define @t155 () (tptp.k1_funct_1 @t43 @t74)) % 1.62/1.82 (define @t156 () (= @t118 @t155)) % 1.62/1.82 (define @t157 () (forall @t122 (=> @t121 @t156))) % 1.62/1.82 (define @t158 () (= @t75 @t149)) % 1.62/1.82 (define @t159 () (forall @t122 (=> @t131 @t158))) % 1.62/1.82 (define @t160 () (tptp.k1_funct_1 (tptp.k2_funcop_1 @t2 @t43) @t1)) % 1.62/1.82 (define @t161 () (=> @t21 (= @t160 @t43))) % 1.62/1.82 (define @t162 () (forall @t47 @t161)) % 1.62/1.82 (define @t163 () (tptp.m1_subset_1 @t2 @t1)) % 1.62/1.82 (define @t164 () (or @t48 @t22)) % 1.62/1.82 (define @t165 () (forall @t23 (=> @t163 @t164))) % 1.62/1.82 (define @t166 () (and (tptp.r1_yellow_0 @t2 @t115) (tptp.r2_yellow_0 @t2 @t115))) % 1.62/1.82 (define @t167 () (forall @t11 (=> @t116 @t166))) % 1.62/1.82 (define @t168 () (and @t15 @t64 @t63 @t13)) % 1.62/1.82 (define @t169 () (=> @t168 @t167)) % 1.62/1.82 (define @t170 () (forall @t18 @t169)) % 1.62/1.82 (define @t171 () (tptp.k2_yellow_0 @t2 @t115)) % 1.62/1.82 (define @t172 () (tptp.k1_yellow_0 @t2 @t115)) % 1.62/1.82 (define @t173 () (and (= @t172 @t1) (= @t171 @t1))) % 1.62/1.82 (define @t174 () (=> @t116 @t173)) % 1.62/1.82 (define @t175 () (forall @t11 @t174)) % 1.62/1.82 (define @t176 () (=> @t168 @t175)) % 1.62/1.82 (define @t177 () (forall @t18 @t176)) % 1.62/1.82 (define @t178 () (= @t2 tptp.k1_xboole_0)) % 1.62/1.82 (define @t179 () (forall @t23 (= (tptp.r1_tarski @t2 @t152) (or @t178 (= @t2 @t152))))) % 1.62/1.82 (define @t180 () (and (tptp.r1_yellow_0 @t2 tptp.k1_xboole_0) (tptp.r2_yellow_0 @t2 @t53))) % 1.62/1.82 (define @t181 () (tptp.v1_yellow_0 @t2)) % 1.62/1.82 (define @t182 () (and @t15 @t63 @t181 @t13)) % 1.62/1.82 (define @t183 () (forall @t18 (=> @t182 @t180))) % 1.62/1.82 (define @t184 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t43))) % 1.62/1.82 (define @t185 () (@var "BOUND_VARIABLE_8448" $$unsorted)) % 1.62/1.82 (define @t186 () (@var "BOUND_VARIABLE_8446" $$unsorted)) % 1.62/1.82 (define @t187 () (@var "BOUND_VARIABLE_8444" $$unsorted)) % 1.62/1.82 (define @t188 () (tptp.k4_pre_topc @t2 @t187 @t186 @t185)) % 1.62/1.82 (define @t189 () (= (tptp.r4_waybel_0 @t2 @t187 @t186 @t185) (or (not (tptp.r1_yellow_0 @t2 @t185)) (and (tptp.r1_yellow_0 @t187 @t188) (= (tptp.k1_yellow_0 @t187 @t188) (tptp.k1_waybel_0 @t2 @t187 @t186 (tptp.k1_yellow_0 @t2 @t185))))))) % 1.62/1.82 (define @t190 () (not (tptp.m1_subset_1 @t185 @t80))) % 1.62/1.82 (define @t191 () (tptp.u1_struct_0 @t187)) % 1.62/1.82 (define @t192 () (not (tptp.m2_relset_1 @t186 @t53 @t191))) % 1.62/1.82 (define @t193 () (not (tptp.v1_funct_2 @t186 @t53 @t191))) % 1.62/1.82 (define @t194 () (not (tptp.v1_funct_1 @t186))) % 1.62/1.82 (define @t195 () (not (tptp.l1_orders_2 @t187))) % 1.62/1.82 (define @t196 () (tptp.v3_struct_0 @t187)) % 1.62/1.82 (define @t197 () (not @t13)) % 1.62/1.82 (define @t198 () (or @t196 @t195 @t194 @t193 @t192 @t190 @t189)) % 1.62/1.82 (define @t199 () (or @t14 @t197 @t198)) % 1.62/1.82 (define @t200 () (forall (@list @t2 @t187 @t186 @t185) @t199)) % 1.62/1.82 (define @t201 () (@list @t187 @t186 @t185)) % 1.62/1.82 (define @t202 () (forall @t201 @t199)) % 1.62/1.82 (define @t203 () (forall @t201 @t198)) % 1.62/1.82 (define @t204 () (@var "BOUND_VARIABLE_8412" $$unsorted)) % 1.62/1.82 (define @t205 () (@var "BOUND_VARIABLE_8410" $$unsorted)) % 1.62/1.82 (define @t206 () (or @t14 @t197 @t203)) % 1.62/1.82 (define @t207 () (tptp.k4_pre_topc @t2 @t1 @t205 @t204)) % 1.62/1.82 (define @t208 () (= (tptp.r4_waybel_0 @t2 @t1 @t205 @t204) (or (not (tptp.r1_yellow_0 @t2 @t204)) (and (tptp.r1_yellow_0 @t1 @t207) (= (tptp.k1_yellow_0 @t1 @t207) (tptp.k1_waybel_0 @t2 @t1 @t205 (tptp.k1_yellow_0 @t2 @t204))))))) % 1.62/1.82 (define @t209 () (not (tptp.m1_subset_1 @t204 @t80))) % 1.62/1.82 (define @t210 () (not (tptp.m2_relset_1 @t205 @t53 @t52))) % 1.62/1.82 (define @t211 () (not (tptp.v1_funct_2 @t205 @t53 @t52))) % 1.62/1.82 (define @t212 () (not (tptp.v1_funct_1 @t205))) % 1.62/1.82 (define @t213 () (not @t4)) % 1.62/1.82 (define @t214 () (or @t8 @t213 @t212 @t211 @t210 @t209 @t208)) % 1.62/1.82 (define @t215 () (@list @t1 @t205 @t204)) % 1.62/1.82 (define @t216 () (forall @t215 @t214)) % 1.62/1.82 (define @t217 () (or @t14 @t197 @t216)) % 1.62/1.82 (define @t218 () (or @t14 @t197)) % 1.62/1.82 (define @t219 () (not @t15)) % 1.62/1.82 (define @t220 () (not @t16)) % 1.62/1.82 (define @t221 () (or @t212 @t211 @t210 @t209 @t208)) % 1.62/1.82 (define @t222 () (or @t8 @t213 @t221)) % 1.62/1.82 (define @t223 () (forall @t215 @t222)) % 1.62/1.82 (define @t224 () (@list @t205 @t204)) % 1.62/1.82 (define @t225 () (forall @t224 @t222)) % 1.62/1.82 (define @t226 () (forall @t224 @t221)) % 1.62/1.82 (define @t227 () (@var "BOUND_VARIABLE_8382" $$unsorted)) % 1.62/1.82 (define @t228 () (or @t8 @t213 @t226)) % 1.62/1.82 (define @t229 () (tptp.k4_pre_topc @t2 @t1 @t43 @t227)) % 1.62/1.82 (define @t230 () (= (tptp.r4_waybel_0 @t2 @t1 @t43 @t227) (or (not (tptp.r1_yellow_0 @t2 @t227)) (and (tptp.r1_yellow_0 @t1 @t229) (= (tptp.k1_yellow_0 @t1 @t229) (tptp.k1_waybel_0 @t2 @t1 @t43 (tptp.k1_yellow_0 @t2 @t227))))))) % 1.62/1.82 (define @t231 () (not (tptp.m1_subset_1 @t227 @t80))) % 1.62/1.82 (define @t232 () (not @t84)) % 1.62/1.82 (define @t233 () (not @t56)) % 1.62/1.82 (define @t234 () (not @t57)) % 1.62/1.82 (define @t235 () (or @t234 @t233 @t232 @t231 @t230)) % 1.62/1.82 (define @t236 () (@list @t43 @t227)) % 1.62/1.82 (define @t237 () (forall @t236 @t235)) % 1.62/1.82 (define @t238 () (or @t8 @t213 @t237)) % 1.62/1.82 (define @t239 () (or @t8 @t213)) % 1.62/1.82 (define @t240 () (not @t9)) % 1.62/1.82 (define @t241 () (not @t88)) % 1.62/1.82 (define @t242 () (or @t231 @t230)) % 1.62/1.82 (define @t243 () (or @t234 @t233 @t232 @t242)) % 1.62/1.82 (define @t244 () (forall @t236 @t243)) % 1.62/1.82 (define @t245 () (@list @t227)) % 1.62/1.82 (define @t246 () (forall @t245 @t243)) % 1.62/1.82 (define @t247 () (forall @t245 @t242)) % 1.62/1.82 (define @t248 () (or @t234 @t233 @t232 @t247)) % 1.62/1.82 (define @t249 () (not @t81)) % 1.62/1.82 (define @t250 () (forall @t82 (or @t249 (= @t78 (or (not @t77) @t76))))) % 1.62/1.82 (define @t251 () (or @t234 @t233 @t232 @t250)) % 1.62/1.82 (define @t252 () (or @t234 @t233 @t232)) % 1.62/1.82 (define @t253 () (not @t85)) % 1.62/1.82 (define @t254 () (@var "BOUND_VARIABLE_7981" $$unsorted)) % 1.62/1.82 (define @t255 () (tptp.v18_waybel_0 (tptp.k3_borsuk_1 @t2 @t254 (tptp.k3_yellow_0 @t254)) @t2 @t254)) % 1.62/1.82 (define @t256 () (not (tptp.l1_orders_2 @t254))) % 1.62/1.82 (define @t257 () (not (tptp.v1_yellow_0 @t254))) % 1.62/1.82 (define @t258 () (not (tptp.v4_orders_2 @t254))) % 1.62/1.82 (define @t259 () (not (tptp.v2_orders_2 @t254))) % 1.62/1.82 (define @t260 () (tptp.v3_struct_0 @t254)) % 1.62/1.82 (define @t261 () (or @t14 @t197 @t260 @t259 @t258 @t257 @t256 @t255)) % 1.62/1.82 (define @t262 () (@list @t2 @t254)) % 1.62/1.82 (define @t263 () (forall @t262 @t261)) % 1.62/1.82 (define @t264 () (@quantifiers_skolemize @t263 1)) % 1.62/1.82 (define @t265 () (tptp.k3_yellow_0 @t264)) % 1.62/1.82 (define @t266 () (@quantifiers_skolemize @t263 0)) % 1.62/1.82 (define @t267 () (tptp.k3_borsuk_1 @t266 @t264 @t265)) % 1.62/1.82 (define @t268 () (tptp.u1_struct_0 @t266)) % 1.62/1.82 (define @t269 () (tptp.k1_zfmisc_1 @t268)) % 1.62/1.82 (define @t270 () (forall @t82 (or (not (tptp.m1_subset_1 @t74 @t269)) (tptp.r4_waybel_0 @t266 @t264 @t267 @t74)))) % 1.62/1.82 (define @t271 () (@quantifiers_skolemize @t270 0)) % 1.62/1.82 (define @t272 () (@list @t266 @t264 @t267 @t271)) % 1.62/1.82 (define @t273 () (@var "BOUND_VARIABLE_8517" $$unsorted)) % 1.62/1.82 (define @t274 () (@var "BOUND_VARIABLE_8515" $$unsorted)) % 1.62/1.82 (define @t275 () (= (tptp.v18_waybel_0 @t273 @t2 @t274) (forall @t82 (or @t249 (tptp.r4_waybel_0 @t2 @t274 @t273 @t74))))) % 1.62/1.82 (define @t276 () (tptp.u1_struct_0 @t274)) % 1.62/1.82 (define @t277 () (not (tptp.m2_relset_1 @t273 @t53 @t276))) % 1.62/1.82 (define @t278 () (not (tptp.v1_funct_2 @t273 @t53 @t276))) % 1.62/1.82 (define @t279 () (not (tptp.v1_funct_1 @t273))) % 1.62/1.82 (define @t280 () (not (tptp.l1_orders_2 @t274))) % 1.62/1.82 (define @t281 () (tptp.v3_struct_0 @t274)) % 1.62/1.82 (define @t282 () (or @t281 @t280 @t279 @t278 @t277 @t275)) % 1.62/1.82 (define @t283 () (or @t14 @t197 @t282)) % 1.62/1.82 (define @t284 () (forall (@list @t2 @t274 @t273) @t283)) % 1.62/1.82 (define @t285 () (@list @t274 @t273)) % 1.62/1.82 (define @t286 () (forall @t285 @t283)) % 1.62/1.82 (define @t287 () (forall @t285 @t282)) % 1.62/1.82 (define @t288 () (@var "BOUND_VARIABLE_8492" $$unsorted)) % 1.62/1.82 (define @t289 () (or @t14 @t197 @t287)) % 1.62/1.82 (define @t290 () (= (tptp.v18_waybel_0 @t288 @t2 @t1) (forall @t82 (or @t249 (tptp.r4_waybel_0 @t2 @t1 @t288 @t74))))) % 1.62/1.82 (define @t291 () (not (tptp.m2_relset_1 @t288 @t53 @t52))) % 1.62/1.82 (define @t292 () (not (tptp.v1_funct_2 @t288 @t53 @t52))) % 1.62/1.82 (define @t293 () (not (tptp.v1_funct_1 @t288))) % 1.62/1.82 (define @t294 () (or @t8 @t213 @t293 @t292 @t291 @t290)) % 1.62/1.82 (define @t295 () (@list @t1 @t288)) % 1.62/1.82 (define @t296 () (forall @t295 @t294)) % 1.62/1.82 (define @t297 () (or @t14 @t197 @t296)) % 1.62/1.82 (define @t298 () (or @t293 @t292 @t291 @t290)) % 1.62/1.82 (define @t299 () (or @t8 @t213 @t298)) % 1.62/1.82 (define @t300 () (forall @t295 @t299)) % 1.62/1.82 (define @t301 () (@list @t288)) % 1.62/1.82 (define @t302 () (forall @t301 @t299)) % 1.62/1.82 (define @t303 () (forall @t301 @t298)) % 1.62/1.82 (define @t304 () (@list @t43)) % 1.62/1.82 (define @t305 () (or @t8 @t213 @t303)) % 1.62/1.82 (define @t306 () (= @t70 (forall @t82 (or @t249 @t78)))) % 1.62/1.82 (define @t307 () (or @t234 @t233 @t232 @t306)) % 1.62/1.82 (define @t308 () (forall @t62 @t307)) % 1.62/1.82 (define @t309 () (or @t8 @t213 @t308)) % 1.62/1.82 (define @t310 () (not @t103)) % 1.62/1.82 (define @t311 () (not @t105)) % 1.62/1.82 (define @t312 () (not @t109)) % 1.62/1.82 (define @t313 () (or @t312 @t240 @t311 @t310)) % 1.62/1.82 (define @t314 () (@list @t266 @t264 @t265)) % 1.62/1.82 (define @t315 () (@list @t264)) % 1.62/1.82 (define @t316 () (or @t260 @t259 @t258 @t257 @t256 @t255)) % 1.62/1.82 (define @t317 () (or @t14 @t197 @t316)) % 1.62/1.82 (define @t318 () (forall @t262 @t317)) % 1.62/1.82 (define @t319 () (@list @t254)) % 1.62/1.82 (define @t320 () (forall @t319 @t317)) % 1.62/1.82 (define @t321 () (forall @t319 @t316)) % 1.62/1.82 (define @t322 () (@list @t1)) % 1.62/1.82 (define @t323 () (or @t14 @t197 @t321)) % 1.62/1.82 (define @t324 () (not @t5)) % 1.62/1.82 (define @t325 () (not @t6)) % 1.62/1.82 (define @t326 () (not @t7)) % 1.62/1.82 (define @t327 () (or @t8 @t326 @t325 @t324 @t213 @t3)) % 1.62/1.82 (define @t328 () (forall @t11 @t327)) % 1.62/1.82 (define @t329 () (or @t14 @t197 @t328)) % 1.62/1.82 (define @t330 () (or @t240 @t326 @t325 @t324 @t213)) % 1.62/1.82 (define @t331 () (tptp.l1_orders_2 @t264)) % 1.62/1.82 (define @t332 () (tptp.v18_waybel_0 @t267 @t266 @t264)) % 1.62/1.82 (define @t333 () (not @t331)) % 1.62/1.82 (define @t334 () (tptp.v1_yellow_0 @t264)) % 1.62/1.82 (define @t335 () (not @t334)) % 1.62/1.82 (define @t336 () (tptp.v4_orders_2 @t264)) % 1.62/1.82 (define @t337 () (not @t336)) % 1.62/1.82 (define @t338 () (tptp.v2_orders_2 @t264)) % 1.62/1.82 (define @t339 () (not @t338)) % 1.62/1.82 (define @t340 () (tptp.v3_struct_0 @t264)) % 1.62/1.82 (define @t341 () (tptp.l1_orders_2 @t266)) % 1.62/1.82 (define @t342 () (not @t341)) % 1.62/1.82 (define @t343 () (tptp.v3_struct_0 @t266)) % 1.62/1.82 (define @t344 () (or @t343 @t342 @t340 @t339 @t337 @t335 @t333 @t332)) % 1.62/1.82 (define @t345 () (@list true)) % 1.62/1.82 (define @t346 () (@list @t344)) % 1.62/1.82 (define @t347 () (tptp.u1_struct_0 @t264)) % 1.62/1.82 (define @t348 () (tptp.m1_subset_1 @t265 @t347)) % 1.62/1.82 (define @t349 () (or @t333 @t348)) % 1.62/1.82 (define @t350 () (@list false false)) % 1.62/1.82 (define @t351 () (tptp.l1_struct_0 @t264)) % 1.62/1.82 (define @t352 () (or @t333 @t351)) % 1.62/1.82 (define @t353 () (@list @t266)) % 1.62/1.82 (define @t354 () (tptp.l1_struct_0 @t266)) % 1.62/1.82 (define @t355 () (or @t342 @t354)) % 1.62/1.82 (define @t356 () (tptp.m2_relset_1 @t267 @t268 @t347)) % 1.62/1.82 (define @t357 () (tptp.v1_funct_2 @t267 @t268 @t347)) % 1.62/1.82 (define @t358 () (tptp.v1_funct_1 @t267)) % 1.62/1.82 (define @t359 () (and @t358 @t357 @t356)) % 1.62/1.82 (define @t360 () (not @t348)) % 1.62/1.82 (define @t361 () (not @t351)) % 1.62/1.82 (define @t362 () (not @t354)) % 1.62/1.82 (define @t363 () (or @t362 @t340 @t361 @t360 @t359)) % 1.62/1.82 (define @t364 () (@list true false false false false)) % 1.62/1.82 (define @t365 () (not @t359)) % 1.62/1.82 (define @t366 () (@list false)) % 1.62/1.82 (define @t367 () (@list @t359)) % 1.62/1.82 (define @t368 () (= @t332 @t270)) % 1.62/1.82 (define @t369 () (not @t356)) % 1.62/1.82 (define @t370 () (not @t357)) % 1.62/1.82 (define @t371 () (not @t358)) % 1.62/1.82 (define @t372 () (or @t343 @t342 @t340 @t333 @t371 @t370 @t369 @t368)) % 1.62/1.82 (define @t373 () (not @t270)) % 1.62/1.82 (define @t374 () (@list true false)) % 1.62/1.82 (define @t375 () (tptp.m1_subset_1 @t271 @t269)) % 1.62/1.82 (define @t376 () (tptp.r4_waybel_0 @t266 @t264 @t267 @t271)) % 1.62/1.82 (define @t377 () (not @t375)) % 1.62/1.82 (define @t378 () (or @t377 @t376)) % 1.62/1.82 (define @t379 () (@list @t378)) % 1.62/1.82 (define @t380 () (tptp.k1_yellow_0 @t266 @t271)) % 1.62/1.82 (define @t381 () (tptp.k1_waybel_0 @t266 @t264 @t267 @t380)) % 1.62/1.82 (define @t382 () (tptp.k4_pre_topc @t266 @t264 @t267 @t271)) % 1.62/1.82 (define @t383 () (tptp.k1_yellow_0 @t264 @t382)) % 1.62/1.82 (define @t384 () (= @t383 @t381)) % 1.62/1.82 (define @t385 () (tptp.r1_yellow_0 @t264 @t382)) % 1.62/1.82 (define @t386 () (and @t385 @t384)) % 1.62/1.82 (define @t387 () (or (not (tptp.r1_yellow_0 @t266 @t271)) @t386)) % 1.62/1.82 (define @t388 () (= @t376 @t387)) % 1.62/1.82 (define @t389 () (or @t343 @t342 @t340 @t333 @t371 @t370 @t369 @t377 @t388)) % 1.62/1.82 (define @t390 () (not @t387)) % 1.62/1.82 (define @t391 () (tptp.k2_funcop_1 @t268 @t265)) % 1.62/1.82 (define @t392 () (tptp.k9_relat_1 @t391 @t271)) % 1.62/1.82 (define @t393 () (tptp.k1_tarski @t265)) % 1.62/1.82 (define @t394 () (or (= @t392 tptp.k1_xboole_0) (= @t392 @t393))) % 1.62/1.82 (define @t395 () (tptp.r1_tarski @t392 @t393)) % 1.62/1.82 (define @t396 () (= @t395 @t394)) % 1.62/1.82 (define @t397 () (= @t393 @t392)) % 1.62/1.82 (define @t398 () (= tptp.k1_xboole_0 @t392)) % 1.62/1.82 (define @t399 () (or @t398 @t397)) % 1.62/1.82 (define @t400 () (= @t395 @t399)) % 1.62/1.82 (define @t401 () (@var "BOUND_VARIABLE_8571" $$unsorted)) % 1.62/1.82 (define @t402 () (@var "BOUND_VARIABLE_8569" $$unsorted)) % 1.62/1.82 (define @t403 () (tptp.u1_struct_0 @t402)) % 1.62/1.82 (define @t404 () (= (tptp.k3_borsuk_1 @t2 @t402 @t401) (tptp.k1_borsuk_1 @t403 @t53 @t401))) % 1.62/1.82 (define @t405 () (not (tptp.m1_subset_1 @t401 @t403))) % 1.62/1.82 (define @t406 () (not (tptp.l1_struct_0 @t402))) % 1.62/1.82 (define @t407 () (tptp.v3_struct_0 @t402)) % 1.62/1.82 (define @t408 () (or @t407 @t406 @t405 @t404)) % 1.62/1.82 (define @t409 () (or @t312 @t408)) % 1.62/1.82 (define @t410 () (forall (@list @t2 @t402 @t401) @t409)) % 1.62/1.82 (define @t411 () (@list @t402 @t401)) % 1.62/1.82 (define @t412 () (forall @t411 @t409)) % 1.62/1.82 (define @t413 () (forall @t411 @t408)) % 1.62/1.82 (define @t414 () (@var "BOUND_VARIABLE_8551" $$unsorted)) % 1.62/1.82 (define @t415 () (or @t312 @t413)) % 1.62/1.82 (define @t416 () (= (tptp.k3_borsuk_1 @t2 @t1 @t414) (tptp.k1_borsuk_1 @t52 @t53 @t414))) % 1.62/1.82 (define @t417 () (not (tptp.m1_subset_1 @t414 @t52))) % 1.62/1.82 (define @t418 () (or @t8 @t311 @t417 @t416)) % 1.62/1.82 (define @t419 () (@list @t1 @t414)) % 1.62/1.82 (define @t420 () (forall @t419 @t418)) % 1.62/1.82 (define @t421 () (or @t417 @t416)) % 1.62/1.82 (define @t422 () (or @t8 @t311 @t421)) % 1.62/1.82 (define @t423 () (forall @t419 @t422)) % 1.62/1.82 (define @t424 () (@list @t414)) % 1.62/1.82 (define @t425 () (forall @t424 @t422)) % 1.62/1.82 (define @t426 () (forall @t424 @t421)) % 1.62/1.82 (define @t427 () (or @t8 @t311 @t426)) % 1.62/1.82 (define @t428 () (forall @t62 (or @t310 @t102))) % 1.62/1.82 (define @t429 () (or @t8 @t311 @t428)) % 1.62/1.82 (define @t430 () (tptp.k1_borsuk_1 @t347 @t268 @t265)) % 1.62/1.82 (define @t431 () (= @t267 @t430)) % 1.62/1.82 (define @t432 () (or @t362 @t340 @t361 @t360 @t431)) % 1.62/1.82 (define @t433 () (not @t113)) % 1.62/1.82 (define @t434 () (tptp.v1_xboole_0 @t347)) % 1.62/1.82 (define @t435 () (not @t434)) % 1.62/1.82 (define @t436 () (or @t340 @t361 @t435)) % 1.62/1.82 (define @t437 () (@list true false false)) % 1.62/1.82 (define @t438 () (= @t430 @t391)) % 1.62/1.82 (define @t439 () (or @t434 @t360 @t438)) % 1.62/1.82 (define @t440 () (not @t116)) % 1.62/1.82 (define @t441 () (or @t219 @t312 @t440)) % 1.62/1.82 (define @t442 () (@list @t264 @t265)) % 1.62/1.82 (define @t443 () (tptp.k1_struct_0 @t264 @t265)) % 1.62/1.82 (define @t444 () (= @t443 @t393)) % 1.62/1.82 (define @t445 () (or @t340 @t361 @t360 @t444)) % 1.62/1.82 (define @t446 () (@list true false false false)) % 1.62/1.82 (define @t447 () (@var "BOUND_VARIABLE_8866" $$unsorted)) % 1.62/1.82 (define @t448 () (tptp.k1_struct_0 @t2 @t447)) % 1.62/1.82 (define @t449 () (and (tptp.r1_yellow_0 @t2 @t448) (tptp.r2_yellow_0 @t2 @t448))) % 1.62/1.82 (define @t450 () (not (tptp.m1_subset_1 @t447 @t53))) % 1.62/1.82 (define @t451 () (not @t63)) % 1.62/1.82 (define @t452 () (not @t64)) % 1.62/1.82 (define @t453 () (or @t450 @t449)) % 1.62/1.82 (define @t454 () (or @t14 @t452 @t451 @t197 @t453)) % 1.62/1.82 (define @t455 () (forall (@list @t2 @t447) @t454)) % 1.62/1.82 (define @t456 () (@list @t447)) % 1.62/1.82 (define @t457 () (forall @t456 @t454)) % 1.62/1.82 (define @t458 () (forall @t456 @t453)) % 1.62/1.82 (define @t459 () (or @t14 @t452 @t451 @t197 @t458)) % 1.62/1.82 (define @t460 () (forall @t11 (or @t440 @t166))) % 1.62/1.82 (define @t461 () (or @t14 @t452 @t451 @t197 @t460)) % 1.62/1.82 (define @t462 () (or @t14 @t452 @t451 @t197)) % 1.62/1.82 (define @t463 () (or @t219 @t452 @t451 @t197)) % 1.62/1.82 (define @t464 () (not @t168)) % 1.62/1.82 (define @t465 () (tptp.r1_yellow_0 @t264 @t443)) % 1.62/1.82 (define @t466 () (and @t465 (tptp.r2_yellow_0 @t264 @t443))) % 1.62/1.82 (define @t467 () (or @t340 @t339 @t337 @t333 @t360 @t466)) % 1.62/1.82 (define @t468 () (@list true false false false false false)) % 1.62/1.82 (define @t469 () (not @t61)) % 1.62/1.82 (define @t470 () (or @t312 @t311 @t234 @t233 @t469)) % 1.62/1.82 (define @t471 () (tptp.m1_relset_1 @t267 @t268 @t347)) % 1.62/1.82 (define @t472 () (= @t356 @t471)) % 1.62/1.82 (define @t473 () (tptp.k9_relat_1 @t267 @t271)) % 1.62/1.82 (define @t474 () (= @t382 @t473)) % 1.62/1.82 (define @t475 () (not @t471)) % 1.62/1.82 (define @t476 () (or @t362 @t361 @t371 @t370 @t475 @t474)) % 1.62/1.82 (define @t477 () (not @t120)) % 1.62/1.82 (define @t478 () (or @t14 @t312 @t8 @t311 @t234 @t233 @t469 @t477)) % 1.62/1.82 (define @t479 () (or @t219 @t312 @t240 @t311 @t234 @t233 @t469 @t477)) % 1.62/1.82 (define @t480 () (not @t121)) % 1.62/1.82 (define @t481 () (@list @t266 @t264 @t267 @t380)) % 1.62/1.82 (define @t482 () (tptp.m1_subset_1 @t380 @t268)) % 1.62/1.82 (define @t483 () (or @t342 @t482)) % 1.62/1.82 (define @t484 () (tptp.k1_funct_1 @t267 @t380)) % 1.62/1.82 (define @t485 () (= @t381 @t484)) % 1.62/1.82 (define @t486 () (not @t482)) % 1.62/1.82 (define @t487 () (or @t343 @t362 @t340 @t361 @t371 @t370 @t475 @t486 @t485)) % 1.62/1.82 (define @t488 () (@list true true false false false false false false false)) % 1.62/1.82 (define @t489 () (tptp.m1_subset_1 @t381 @t347)) % 1.62/1.82 (define @t490 () (or @t343 @t362 @t340 @t361 @t371 @t370 @t475 @t486 @t489)) % 1.62/1.82 (define @t491 () (tptp.k1_tarski @t381)) % 1.62/1.82 (define @t492 () (tptp.k1_struct_0 @t264 @t381)) % 1.62/1.82 (define @t493 () (= @t492 @t491)) % 1.62/1.82 (define @t494 () (not @t489)) % 1.62/1.82 (define @t495 () (or @t340 @t361 @t494 @t493)) % 1.62/1.82 (define @t496 () (= @t43 @t160)) % 1.62/1.82 (define @t497 () (not @t163)) % 1.62/1.82 (define @t498 () (tptp.v1_xboole_0 @t268)) % 1.62/1.82 (define @t499 () (not @t498)) % 1.62/1.82 (define @t500 () (or @t343 @t362 @t499)) % 1.62/1.82 (define @t501 () (tptp.r2_hidden @t380 @t268)) % 1.62/1.82 (define @t502 () (or @t486 @t498 @t501)) % 1.62/1.82 (define @t503 () (tptp.k1_funct_1 @t391 @t380)) % 1.62/1.82 (define @t504 () (= @t265 @t503)) % 1.62/1.82 (define @t505 () (not @t501)) % 1.62/1.82 (define @t506 () (or @t505 @t504)) % 1.62/1.82 (define @t507 () (and @t431 @t438 @t444 @t465 @t485 @t474 @t493 @t504 @t397)) % 1.62/1.82 (define @t508 () (not @t397)) % 1.62/1.82 (define @t509 () (not @t504)) % 1.62/1.82 (define @t510 () (not @t493)) % 1.62/1.82 (define @t511 () (not @t474)) % 1.62/1.82 (define @t512 () (not @t485)) % 1.62/1.82 (define @t513 () (not @t444)) % 1.62/1.82 (define @t514 () (not @t438)) % 1.62/1.82 (define @t515 () (not @t431)) % 1.62/1.82 (define @t516 () (@var "BOUND_VARIABLE_8892" $$unsorted)) % 1.62/1.82 (define @t517 () (tptp.k1_struct_0 @t2 @t516)) % 1.62/1.82 (define @t518 () (and (= @t516 (tptp.k1_yellow_0 @t2 @t517)) (= @t516 (tptp.k2_yellow_0 @t2 @t517)))) % 1.62/1.82 (define @t519 () (not (tptp.m1_subset_1 @t516 @t53))) % 1.62/1.82 (define @t520 () (or @t519 @t518)) % 1.62/1.82 (define @t521 () (or @t14 @t452 @t451 @t197 @t520)) % 1.62/1.82 (define @t522 () (forall (@list @t2 @t516) @t521)) % 1.62/1.82 (define @t523 () (@list @t516)) % 1.62/1.82 (define @t524 () (forall @t523 @t521)) % 1.62/1.82 (define @t525 () (forall @t523 @t520)) % 1.62/1.82 (define @t526 () (or @t14 @t452 @t451 @t197 @t525)) % 1.62/1.82 (define @t527 () (and (= @t1 @t172) (= @t1 @t171))) % 1.62/1.82 (define @t528 () (forall @t11 (or @t440 @t527))) % 1.62/1.82 (define @t529 () (or @t14 @t452 @t451 @t197 @t528)) % 1.62/1.82 (define @t530 () (= @t265 (tptp.k1_yellow_0 @t264 @t443))) % 1.62/1.82 (define @t531 () (and @t530 (= @t265 (tptp.k2_yellow_0 @t264 @t443)))) % 1.62/1.82 (define @t532 () (or @t340 @t339 @t337 @t333 @t360 @t531)) % 1.62/1.82 (define @t533 () (and @t431 @t438 @t444 @t530 @t485 @t474 @t493 @t504 @t397)) % 1.62/1.82 (define @t534 () (not @t181)) % 1.62/1.82 (define @t535 () (or @t219 @t451 @t534 @t197)) % 1.62/1.82 (define @t536 () (tptp.r1_yellow_0 @t264 tptp.k1_xboole_0)) % 1.62/1.82 (define @t537 () (and @t536 (tptp.r2_yellow_0 @t264 @t347))) % 1.62/1.82 (define @t538 () (or @t340 @t337 @t335 @t333 @t537)) % 1.62/1.82 (define @t539 () (and @t431 @t536 @t438 @t474 @t398)) % 1.62/1.82 (define @t540 () (not @t398)) % 1.62/1.82 (define @t541 () (= @t265 (tptp.k1_yellow_0 @t264 tptp.k1_xboole_0))) % 1.62/1.82 (define @t542 () (or @t333 @t541)) % 1.62/1.82 (define @t543 () (and @t541 @t431 @t438 @t485 @t474 @t504 @t398)) % 1.62/1.82 (assume @p1 @t20) % 1.62/1.82 (assume @p2 (forall @t23 (=> @t22 (not @t21)))) % 1.62/1.82 (assume @p3 (forall @t18 (=> @t26 (forall @t11 (=> @t25 @t24))))) % 1.62/1.82 (assume @p4 (forall @t18 (=> @t28 (forall @t11 (=> @t25 (and @t24 @t27)))))) % 1.62/1.82 (assume @p5 (forall @t18 (=> @t30 (forall @t11 (=> @t25 (and @t24 @t27 @t29)))))) % 1.62/1.82 (assume @p6 (forall @t18 (=> @t32 (forall @t11 (=> @t25 (and @t24 @t27 @t31 @t29)))))) % 1.62/1.82 (assume @p7 (forall @t18 (=> @t33 (forall @t11 (=> @t25 (and @t24 (tptp.v4_ordinal2 @t1) @t27 @t31 @t29)))))) % 1.62/1.82 (assume @p8 (forall @t18 (=> @t34 (and @t26 @t28 @t30 @t32 @t33)))) % 1.62/1.82 (assume @p9 (forall @t18 (=> @t26 (forall @t11 (=> @t37 @t35))))) % 1.62/1.82 (assume @p10 (forall @t18 (=> @t28 (forall @t11 (=> @t37 (and @t35 @t38)))))) % 1.62/1.82 (assume @p11 (forall @t18 (=> @t30 (forall @t11 (=> @t37 (and @t35 @t38 @t39)))))) % 1.62/1.82 (assume @p12 (forall @t18 (=> @t32 (forall @t11 (=> @t37 (and @t35 @t38 @t39 @t40)))))) % 1.62/1.82 (assume @p13 (forall @t18 (=> @t34 @t41))) % 1.62/1.82 (assume @p14 (forall @t18 (=> @t34 @t42))) % 1.62/1.82 (assume @p15 (forall @t18 (=> @t33 @t32))) % 1.62/1.82 (assume @p16 (forall @t47 (=> @t46 @t44))) % 1.62/1.82 (assume @p17 (forall @t18 (=> @t51 (forall @t11 (=> @t25 @t49))))) % 1.62/1.82 (assume @p18 (forall @t23 (=> (and @t15 @t64 @t63 @t13 @t9 @t7 @t6 @t4) (forall @t62 (=> @t61 (=> (and @t57 @t56 @t60) (and @t59 @t57 @t56 @t55 @t54))))))) % 1.62/1.82 (assume @p19 (forall @t18 (=> @t33 (forall @t11 (=> @t37 (and @t35 @t38 @t39 @t40 (tptp.v5_membered @t1))))))) % 1.62/1.82 (assume @p20 (forall @t18 (=> @t41 (forall @t11 (=> @t37 @t65))))) % 1.62/1.82 (assume @p21 (forall @t18 (=> @t68 @t67))) % 1.62/1.82 (assume @p22 (forall @t18 (=> @t32 @t30))) % 1.62/1.82 (assume @p23 (forall @t18 (=> @t30 @t28))) % 1.62/1.82 (assume @p24 (forall @t18 (=> @t28 @t26))) % 1.62/1.82 (assume @p25 (forall @t23 (=> (and @t15 @t13 @t9 @t4) (forall @t62 (=> @t61 (=> (and @t57 @t56 @t70) (and @t57 @t56 @t69 @t60))))))) % 1.62/1.82 (assume @p26 @t73) % 1.62/1.82 (assume @p27 @t92) % 1.62/1.82 (assume @p28 @t100) % 1.62/1.82 (assume @p29 @t111) % 1.62/1.82 (assume @p30 (forall @t47 (=> @t114 (and (tptp.v1_funct_1 @t112) (tptp.v1_funct_2 @t112 @t1 @t2) (tptp.m2_relset_1 @t112 @t1 @t2))))) % 1.62/1.82 (assume @p31 true) % 1.62/1.82 (assume @p32 (forall @t23 (=> @t117 (tptp.m1_subset_1 @t115 @t80)))) % 1.62/1.82 (assume @p33 @t123) % 1.62/1.82 (assume @p34 @t125) % 1.62/1.82 (assume @p35 (forall @t23 (=> @t13 (tptp.m1_subset_1 (tptp.k2_yellow_0 @t2 @t1) @t53)))) % 1.62/1.82 (assume @p36 @t128) % 1.62/1.82 (assume @p37 @t130) % 1.62/1.82 (assume @p38 (forall @t122 (=> @t131 (tptp.m1_subset_1 @t75 (tptp.k1_zfmisc_1 @t52))))) % 1.62/1.82 (assume @p39 (forall @t122 (=> @t133 (tptp.m1_subset_1 @t132 @t52)))) % 1.62/1.82 (assume @p40 @t134) % 1.62/1.82 (assume @p41 (forall @t47 (=> @t135 @t46))) % 1.62/1.82 (assume @p42 (exists @t18 @t13)) % 1.62/1.82 (assume @p43 (exists @t18 @t109)) % 1.62/1.82 (assume @p44 (forall @t23 (exists @t62 @t136))) % 1.62/1.82 (assume @p45 (forall @t18 (exists @t11 @t25))) % 1.62/1.82 (assume @p46 (forall @t23 (exists @t62 @t135))) % 1.62/1.82 (assume @p47 (forall @t18 (=> (tptp.v1_int_1 @t2) (and @t141 @t140 @t139 @t138)))) % 1.62/1.82 (assume @p48 (forall @t18 (=> (tptp.v4_ordinal2 @t2) (and @t141 @t140 @t139 @t138 (tptp.v5_membered @t137))))) % 1.62/1.82 (assume @p49 (forall @t23 (=> (and @t66 @t42 @t65) (tptp.v1_finset_1 (tptp.k9_relat_1 @t2 @t1))))) % 1.62/1.82 (assume @p50 (forall @t23 (=> (and @t41 @t65) (tptp.v1_finset_1 @t45)))) % 1.62/1.82 (assume @p51 (forall @t18 (and @t142 (tptp.v1_finset_1 @t137)))) % 1.62/1.82 (assume @p52 @t145) % 1.62/1.82 (assume @p53 (forall @t23 (=> @t88 (and @t148 @t147 (tptp.v1_yellow_1 @t146) (tptp.v4_waybel_3 @t146) (tptp.v2_pralg_1 @t146))))) % 1.62/1.82 (assume @p54 (forall @t23 (=> (and @t7 @t4) (and @t148 @t147 (tptp.v5_waybel_3 @t146))))) % 1.62/1.82 (assume @p55 (forall @t122 (=> (and @t50 @t49 @t57 (tptp.v1_funct_2 @t43 @t2 @t1) @t136 (not (tptp.v1_xboole_0 @t74)) (tptp.m1_subset_1 @t74 @t36)) (not (tptp.v1_xboole_0 @t149))))) % 1.62/1.82 (assume @p56 (forall @t18 (=> @t50 (and @t142 (tptp.v1_setfam_1 @t137))))) % 1.62/1.82 (assume @p57 (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))) % 1.62/1.82 (assume @p58 (forall @t18 (=> (tptp.v1_xcmplx_0 @t2) @t141))) % 1.62/1.82 (assume @p59 (forall @t18 (=> (tptp.v1_xreal_0 @t2) (and @t141 @t140)))) % 1.62/1.82 (assume @p60 (forall @t18 (=> (tptp.v1_rat_1 @t2) (and @t141 @t140 @t139)))) % 1.62/1.82 (assume @p61 (exists @t18 (and @t50 @t41))) % 1.62/1.82 (assume @p62 (exists @t18 (and @t66 @t42))) % 1.62/1.82 (assume @p63 (exists @t18 (and @t50 @t26 @t28 @t30 @t32 @t33))) % 1.62/1.82 (assume @p64 (exists @t18 @t51)) % 1.62/1.82 (assume @p65 (forall @t23 (=> (and @t13 @t9 @t7 @t4) (exists @t62 (and @t61 @t44 @t57 @t56 @t54 @t55))))) % 1.62/1.82 (assume @p66 (exists @t18 @t68)) % 1.62/1.82 (assume @p67 (forall @t18 (=> @t50 (exists @t11 (and @t37 @t49 @t65))))) % 1.62/1.82 (assume @p68 (exists @t18 @t67)) % 1.62/1.82 (assume @p69 (exists @t18 (and @t109 @t15))) % 1.62/1.82 (assume @p70 (forall @t23 (=> (and @t15 @t13 @t9 @t7 @t6 @t5 @t4) (exists @t62 (and @t61 @t44 @t57 @t59 @t56 @t70 @t69 @t60 @t54))))) % 1.62/1.82 (assume @p71 (forall @t18 (=> @t144 (exists @t11 (and (tptp.m1_subset_1 @t1 @t80) @t49))))) % 1.62/1.82 (assume @p72 @t151) % 1.62/1.82 (assume @p73 @t154) % 1.62/1.82 (assume @p74 @t157) % 1.62/1.82 (assume @p75 @t159) % 1.62/1.82 (assume @p76 (forall @t122 (=> @t133 (= @t132 @t155)))) % 1.62/1.82 (assume @p77 (forall @t47 (= @t135 @t136))) % 1.62/1.82 (assume @p78 (forall @t23 (tptp.r1_tarski @t2 @t2))) % 1.62/1.82 (assume @p79 @t162) % 1.62/1.82 (assume @p80 (forall @t23 (=> @t22 @t163))) % 1.62/1.82 (assume @p81 @t165) % 1.62/1.82 (assume @p82 @t170) % 1.62/1.82 (assume @p83 @t177) % 1.62/1.82 (assume @p84 @t179) % 1.62/1.82 (assume @p85 (forall @t23 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t2 @t1)))) % 1.62/1.82 (assume @p86 @t183) % 1.62/1.82 (assume @p87 (forall @t47 (=> (and @t22 @t184) (tptp.m1_subset_1 @t2 @t43)))) % 1.62/1.82 (assume @p88 (forall @t47 (not (and @t22 @t184 @t58)))) % 1.62/1.82 (assume @p89 (forall @t18 (=> @t34 @t178))) % 1.62/1.82 (assume @p90 (forall @t47 (tptp.r1_tarski (tptp.k9_relat_1 @t146 @t43) @t152))) % 1.62/1.82 (assume @p91 (forall @t23 (not (and @t22 @t48)))) % 1.62/1.82 (assume @p92 (forall @t23 (not (and @t34 (not (= @t2 @t1)) @t48)))) % 1.62/1.82 (step @p93 :rule aci_norm :args ((= @t199 (or @t14 @t197 @t196 @t195 @t194 @t193 @t192 @t190 @t189)))) % 1.62/1.82 (step @p94 :rule cong :premises (@p93) :args (@t200)) % 1.62/1.82 (step @p95 :rule quant-merge-prenex :args ((= (forall @t18 @t202) @t200))) % 1.62/1.82 (step @p96 :rule alpha_equiv :args (@t203 (@list @t187 @t186 @t185) (@list @t1 @t205 @t204))) % 1.62/1.82 (step @p97 :rule refl :args (@t197)) % 1.62/1.82 (step @p98 :rule refl :args (@t14)) % 1.62/1.82 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96) :args (@t206)) % 1.62/1.82 (step @p100 :rule quant-miniscope-or :args ((= @t202 @t206))) % 1.62/1.82 (step @p101 :rule trans :premises (@p100 @p99)) % 1.62/1.82 (step @p102 :rule symm :premises (@p101)) % 1.62/1.82 (step @p103 :rule cong :premises (@p102) :args ((forall @t18 @t217))) % 1.62/1.82 (step @p104 :rule trans :premises (@p103 @p95)) % 1.62/1.82 (step @p105 :rule trans :premises (@p104 @p94)) % 1.62/1.82 (step @p106 :rule aci_norm :args ((= (or @t218 @t216) @t217))) % 1.62/1.82 (step @p107 :rule refl :args (@t216)) % 1.62/1.82 (step @p108 :rule bool-double-not-elim :args (@t14)) % 1.62/1.82 (step @p109 :rule nary_cong :premises (@p108 @p97) :args ((or @t219 @t197))) % 1.62/1.82 (step @p110 :rule bool-and-de-morgan :args (@t15 @t13 true)) % 1.62/1.82 (step @p111 :rule trans :premises (@p110 @p109)) % 1.62/1.82 (step @p112 :rule nary_cong :premises (@p111 @p107) :args ((or @t220 @t216))) % 1.62/1.82 (step @p113 :rule trans :premises (@p112 @p106)) % 1.62/1.82 (step @p114 :rule bool-impl-elim :args (@t16 @t216)) % 1.62/1.82 (step @p115 :rule trans :premises (@p114 @p113)) % 1.62/1.82 (step @p116 :rule cong :premises (@p115) :args ((forall @t18 (=> @t16 @t216)))) % 1.62/1.82 (step @p117 :rule trans :premises (@p116 @p105)) % 1.62/1.82 (step @p118 :rule aci_norm :args ((= @t222 @t214))) % 1.62/1.82 (step @p119 :rule cong :premises (@p118) :args (@t223)) % 1.62/1.82 (step @p120 :rule quant-merge-prenex :args ((= (forall @t11 @t225) @t223))) % 1.62/1.82 (step @p121 :rule alpha_equiv :args (@t226 (@list @t205 @t204) (@list @t43 @t227))) % 1.62/1.82 (step @p122 :rule refl :args (@t213)) % 1.62/1.82 (step @p123 :rule refl :args (@t8)) % 1.62/1.82 (step @p124 :rule nary_cong :premises (@p123 @p122 @p121) :args (@t228)) % 1.62/1.82 (step @p125 :rule quant-miniscope-or :args ((= @t225 @t228))) % 1.62/1.82 (step @p126 :rule trans :premises (@p125 @p124)) % 1.62/1.82 (step @p127 :rule symm :premises (@p126)) % 1.62/1.82 (step @p128 :rule cong :premises (@p127) :args ((forall @t11 @t238))) % 1.62/1.82 (step @p129 :rule trans :premises (@p128 @p120)) % 1.62/1.82 (step @p130 :rule trans :premises (@p129 @p119)) % 1.62/1.82 (step @p131 :rule aci_norm :args ((= (or @t239 @t237) @t238))) % 1.62/1.82 (step @p132 :rule refl :args (@t237)) % 1.62/1.82 (step @p133 :rule bool-double-not-elim :args (@t8)) % 1.62/1.82 (step @p134 :rule nary_cong :premises (@p133 @p122) :args ((or @t240 @t213))) % 1.62/1.82 (step @p135 :rule bool-and-de-morgan :args (@t9 @t4 true)) % 1.62/1.82 (step @p136 :rule trans :premises (@p135 @p134)) % 1.62/1.82 (step @p137 :rule nary_cong :premises (@p136 @p132) :args ((or @t241 @t237))) % 1.62/1.82 (step @p138 :rule trans :premises (@p137 @p131)) % 1.62/1.82 (step @p139 :rule bool-impl-elim :args (@t88 @t237)) % 1.62/1.82 (step @p140 :rule trans :premises (@p139 @p138)) % 1.62/1.82 (step @p141 :rule cong :premises (@p140) :args ((forall @t11 (=> @t88 @t237)))) % 1.62/1.82 (step @p142 :rule trans :premises (@p141 @p130)) % 1.62/1.82 (step @p143 :rule aci_norm :args ((= @t243 @t235))) % 1.62/1.82 (step @p144 :rule cong :premises (@p143) :args (@t244)) % 1.62/1.82 (step @p145 :rule quant-merge-prenex :args ((= (forall @t62 @t246) @t244))) % 1.62/1.82 (step @p146 :rule alpha_equiv :args (@t247 (@list @t227) (@list @t74))) % 1.62/1.82 (step @p147 :rule refl :args (@t232)) % 1.62/1.82 (step @p148 :rule refl :args (@t233)) % 1.62/1.82 (step @p149 :rule refl :args (@t234)) % 1.62/1.82 (step @p150 :rule nary_cong :premises (@p149 @p148 @p147 @p146) :args (@t248)) % 1.62/1.82 (step @p151 :rule quant-miniscope-or :args ((= @t246 @t248))) % 1.62/1.82 (step @p152 :rule trans :premises (@p151 @p150)) % 1.62/1.82 (step @p153 :rule symm :premises (@p152)) % 1.62/1.82 (step @p154 :rule cong :premises (@p153) :args ((forall @t62 @t251))) % 1.62/1.82 (step @p155 :rule trans :premises (@p154 @p145)) % 1.62/1.82 (step @p156 :rule trans :premises (@p155 @p144)) % 1.62/1.82 (step @p157 :rule aci_norm :args ((= (or @t252 @t250) @t251))) % 1.62/1.82 (step @p158 :rule refl :args (@t250)) % 1.62/1.82 (step @p159 :rule aci_norm :args ((= (or @t234 (or @t233 @t232)) @t252))) % 1.62/1.82 (step @p160 :rule bool-and-de-morgan :args (@t56 @t84 true)) % 1.62/1.82 (step @p161 :rule nary_cong :premises (@p149 @p160) :args ((or @t234 (not (and @t56 @t84))))) % 1.62/1.82 (step @p162 :rule bool-and-de-morgan :args (@t57 @t56 (and @t84))) % 1.62/1.82 (step @p163 :rule trans :premises (@p162 @p161)) % 1.62/1.82 (step @p164 :rule trans :premises (@p163 @p159)) % 1.62/1.82 (step @p165 :rule nary_cong :premises (@p164 @p158) :args ((or @t253 @t250))) % 1.62/1.82 (step @p166 :rule trans :premises (@p165 @p157)) % 1.62/1.82 (step @p167 :rule bool-impl-elim :args (@t85 @t250)) % 1.62/1.82 (step @p168 :rule trans :premises (@p167 @p166)) % 1.62/1.82 (step @p169 :rule cong :premises (@p168) :args ((forall @t62 (=> @t85 @t250)))) % 1.62/1.82 (step @p170 :rule trans :premises (@p169 @p156)) % 1.62/1.82 (step @p171 :rule bool-impl-elim :args (@t77 @t76)) % 1.62/1.82 (step @p172 :rule refl :args (@t78)) % 1.62/1.82 (step @p173 :rule cong :premises (@p172 @p171) :args (@t79)) % 1.62/1.82 (step @p174 :rule refl :args (@t249)) % 1.62/1.82 (step @p175 :rule nary_cong :premises (@p174 @p173) :args ((or @t249 @t79))) % 1.62/1.82 (step @p176 :rule bool-impl-elim :args (@t81 @t79)) % 1.62/1.82 (step @p177 :rule trans :premises (@p176 @p175)) % 1.62/1.82 (step @p178 :rule cong :premises (@p177) :args (@t83)) % 1.62/1.82 (step @p179 :rule refl :args (@t85)) % 1.62/1.82 (step @p180 :rule cong :premises (@p179 @p178) :args (@t86)) % 1.62/1.82 (step @p181 :rule cong :premises (@p180) :args (@t87)) % 1.62/1.82 (step @p182 :rule trans :premises (@p181 @p170)) % 1.62/1.82 (step @p183 :rule refl :args (@t88)) % 1.62/1.82 (step @p184 :rule cong :premises (@p183 @p182) :args (@t89)) % 1.62/1.82 (step @p185 :rule cong :premises (@p184) :args (@t90)) % 1.62/1.82 (step @p186 :rule trans :premises (@p185 @p142)) % 1.62/1.82 (step @p187 :rule refl :args (@t16)) % 1.62/1.82 (step @p188 :rule cong :premises (@p187 @p186) :args (@t91)) % 1.62/1.82 (step @p189 :rule cong :premises (@p188) :args (@t92)) % 1.62/1.82 (step @p190 :rule trans :premises (@p189 @p117)) % 1.62/1.82 (step @p191 :rule eq_resolve :premises (@p27 @p190)) % 1.62/1.82 (step @p192 :rule instantiate :premises (@p191) :args (@t272)) % 1.62/1.82 (step @p193 :rule aci_norm :args ((= @t283 (or @t14 @t197 @t281 @t280 @t279 @t278 @t277 @t275)))) % 1.62/1.82 (step @p194 :rule cong :premises (@p193) :args (@t284)) % 1.62/1.82 (step @p195 :rule quant-merge-prenex :args ((= (forall @t18 @t286) @t284))) % 1.62/1.82 (step @p196 :rule alpha_equiv :args (@t287 (@list @t274 @t273) (@list @t1 @t288))) % 1.62/1.82 (step @p197 :rule nary_cong :premises (@p98 @p97 @p196) :args (@t289)) % 1.62/1.82 (step @p198 :rule quant-miniscope-or :args ((= @t286 @t289))) % 1.62/1.82 (step @p199 :rule trans :premises (@p198 @p197)) % 1.62/1.82 (step @p200 :rule symm :premises (@p199)) % 1.62/1.82 (step @p201 :rule cong :premises (@p200) :args ((forall @t18 @t297))) % 1.62/1.82 (step @p202 :rule trans :premises (@p201 @p195)) % 1.62/1.82 (step @p203 :rule trans :premises (@p202 @p194)) % 1.62/1.82 (step @p204 :rule aci_norm :args ((= (or @t218 @t296) @t297))) % 1.62/1.82 (step @p205 :rule refl :args (@t296)) % 1.62/1.82 (step @p206 :rule nary_cong :premises (@p111 @p205) :args ((or @t220 @t296))) % 1.62/1.82 (step @p207 :rule trans :premises (@p206 @p204)) % 1.62/1.82 (step @p208 :rule bool-impl-elim :args (@t16 @t296)) % 1.62/1.82 (step @p209 :rule trans :premises (@p208 @p207)) % 1.62/1.82 (step @p210 :rule cong :premises (@p209) :args ((forall @t18 (=> @t16 @t296)))) % 1.62/1.82 (step @p211 :rule trans :premises (@p210 @p203)) % 1.62/1.82 (step @p212 :rule aci_norm :args ((= @t299 @t294))) % 1.62/1.82 (step @p213 :rule cong :premises (@p212) :args (@t300)) % 1.62/1.82 (step @p214 :rule quant-merge-prenex :args ((= (forall @t11 @t302) @t300))) % 1.62/1.82 (step @p215 :rule alpha_equiv :args (@t303 (@list @t288) @t304)) % 1.62/1.82 (step @p216 :rule nary_cong :premises (@p123 @p122 @p215) :args (@t305)) % 1.62/1.82 (step @p217 :rule quant-miniscope-or :args ((= @t302 @t305))) % 1.62/1.82 (step @p218 :rule trans :premises (@p217 @p216)) % 1.62/1.82 (step @p219 :rule symm :premises (@p218)) % 1.62/1.82 (step @p220 :rule cong :premises (@p219) :args ((forall @t11 @t309))) % 1.62/1.82 (step @p221 :rule trans :premises (@p220 @p214)) % 1.62/1.82 (step @p222 :rule trans :premises (@p221 @p213)) % 1.62/1.82 (step @p223 :rule aci_norm :args ((= (or @t239 @t308) @t309))) % 1.62/1.82 (step @p224 :rule refl :args (@t308)) % 1.62/1.82 (step @p225 :rule nary_cong :premises (@p136 @p224) :args ((or @t241 @t308))) % 1.62/1.82 (step @p226 :rule trans :premises (@p225 @p223)) % 1.62/1.82 (step @p227 :rule bool-impl-elim :args (@t88 @t308)) % 1.62/1.82 (step @p228 :rule trans :premises (@p227 @p226)) % 1.62/1.82 (step @p229 :rule cong :premises (@p228) :args ((forall @t11 (=> @t88 @t308)))) % 1.62/1.82 (step @p230 :rule trans :premises (@p229 @p222)) % 1.62/1.82 (step @p231 :rule aci_norm :args ((= (or @t252 @t306) @t307))) % 1.62/1.82 (step @p232 :rule refl :args (@t306)) % 1.62/1.82 (step @p233 :rule nary_cong :premises (@p164 @p232) :args ((or @t253 @t306))) % 1.62/1.82 (step @p234 :rule trans :premises (@p233 @p231)) % 1.62/1.82 (step @p235 :rule bool-impl-elim :args (@t85 @t306)) % 1.62/1.82 (step @p236 :rule trans :premises (@p235 @p234)) % 1.62/1.82 (step @p237 :rule cong :premises (@p236) :args ((forall @t62 (=> @t85 @t306)))) % 1.62/1.82 (step @p238 :rule bool-impl-elim :args (@t81 @t78)) % 1.62/1.82 (step @p239 :rule cong :premises (@p238) :args (@t93)) % 1.62/1.82 (step @p240 :rule refl :args (@t70)) % 1.62/1.82 (step @p241 :rule cong :premises (@p240 @p239) :args (@t94)) % 1.62/1.82 (step @p242 :rule cong :premises (@p179 @p241) :args (@t95)) % 1.62/1.82 (step @p243 :rule cong :premises (@p242) :args (@t96)) % 1.62/1.82 (step @p244 :rule trans :premises (@p243 @p237)) % 1.62/1.82 (step @p245 :rule cong :premises (@p183 @p244) :args (@t97)) % 1.62/1.82 (step @p246 :rule cong :premises (@p245) :args (@t98)) % 1.62/1.82 (step @p247 :rule trans :premises (@p246 @p230)) % 1.62/1.82 (step @p248 :rule cong :premises (@p187 @p247) :args (@t99)) % 1.62/1.82 (step @p249 :rule cong :premises (@p248) :args (@t100)) % 1.62/1.82 (step @p250 :rule trans :premises (@p249 @p211)) % 1.62/1.82 (step @p251 :rule eq_resolve :premises (@p28 @p250)) % 1.62/1.82 (step @p252 :rule instantiate :premises (@p251) :args ((@list @t266 @t264 @t267))) % 1.62/1.82 (step @p253 :rule aci_norm :args ((= (or (or @t312 @t8 @t311 @t310) @t126) (or @t312 @t8 @t311 @t310 @t126)))) % 1.62/1.82 (step @p254 :rule refl :args (@t126)) % 1.62/1.82 (step @p255 :rule refl :args (@t310)) % 1.62/1.82 (step @p256 :rule refl :args (@t311)) % 1.62/1.82 (step @p257 :rule refl :args (@t312)) % 1.62/1.82 (step @p258 :rule nary_cong :premises (@p257 @p133 @p256 @p255) :args (@t313)) % 1.62/1.82 (step @p259 :rule aci_norm :args ((= (or @t312 (or @t240 (or @t311 @t310))) @t313))) % 1.62/1.82 (step @p260 :rule trans :premises (@p259 @p258)) % 1.62/1.82 (step @p261 :rule bool-and-de-morgan :args (@t105 @t103 true)) % 1.62/1.82 (step @p262 :rule refl :args (@t240)) % 1.62/1.82 (step @p263 :rule nary_cong :premises (@p262 @p261) :args ((or @t240 (not (and @t105 @t103))))) % 1.62/1.82 (step @p264 :rule bool-and-de-morgan :args (@t9 @t105 (and @t103))) % 1.62/1.82 (step @p265 :rule trans :premises (@p264 @p263)) % 1.62/1.82 (step @p266 :rule nary_cong :premises (@p257 @p265) :args ((or @t312 (not (and @t9 @t105 @t103))))) % 1.62/1.82 (step @p267 :rule bool-and-de-morgan :args (@t109 @t9 (and @t105 @t103))) % 1.62/1.82 (step @p268 :rule trans :premises (@p267 @p266)) % 1.62/1.82 (step @p269 :rule trans :premises (@p268 @p260)) % 1.62/1.82 (step @p270 :rule nary_cong 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@t398) % 1.62/1.82 (assume-push @p1053 @t536) % 1.62/1.82 (assume-push @p1054 @t398) % 1.62/1.82 (assume-push @p1055 @t438) % 1.62/1.82 (assume-push @p1056 @t431) % 1.62/1.82 (assume-push @p1057 @t474) % 1.62/1.82 (step @p899 :rule true_intro :premises (@p888)) % 1.62/1.82 (step @p900 :rule symm :premises (@p1052)) % 1.62/1.82 (step @p725 :rule refl :args (@t271)) % 1.62/1.82 (step @p715 :rule trans :premises (@p467 @p499)) % 1.62/1.82 (step @p726 :rule cong :premises (@p715 @p725) :args (@t473)) % 1.62/1.82 (step @p901 :rule trans :premises (@p607 @p726 @p900)) % 1.62/1.82 (step @p720 :rule refl :args (@t264)) % 1.62/1.82 (step @p902 :rule cong :premises (@p720 @p901) :args (@t385)) % 1.62/1.82 (step @p903 :rule trans :premises (@p902 @p899)) % 1.62/1.82 (step @p904 :rule true_elim :premises (@p903)) % 1.62/1.82 (step-pop @p1058 :rule scope :premises (@p904)) % 1.62/1.82 (step-pop @p1059 :rule scope :premises (@p1058)) % 1.62/1.82 (step-pop @p1060 :rule scope :premises (@p1059)) % 1.62/1.82 (step-pop @p1061 :rule scope :premises (@p1060)) % 1.62/1.82 (step-pop @p1062 :rule scope :premises (@p1061)) % 1.62/1.82 (step @p905 :rule process_scope :premises (@p1062) :args (@t385)) % 1.62/1.82 (step @p911 :rule and_intro :premises (@p888 @p1052 @p499 @p467 @p607)) % 1.62/1.83 (step @p912 :rule modus_ponens :premises (@p911 @p905)) % 1.62/1.83 (step-pop @p1063 :rule scope :premises (@p912)) % 1.62/1.83 (step-pop @p1064 :rule scope :premises (@p1063)) % 1.62/1.83 (step-pop @p1065 :rule scope :premises (@p1064)) % 1.62/1.83 (step-pop @p1066 :rule scope :premises (@p1065)) % 1.62/1.83 (step-pop @p1067 :rule scope :premises (@p1066)) % 1.62/1.83 (step @p913 :rule process_scope :premises (@p1067) :args (@t385)) % 1.62/1.83 (step @p919 :rule implies_elim :premises (@p913)) % 1.62/1.83 (step @p920 :rule cnf_and_neg :args (@t539)) % 1.62/1.83 (step @p921 :rule resolution :premises (@p920 @p919) :args (true @t539)) % 1.62/1.83 (step @p922 :rule reordering :premises (@p921) :args ((or @t515 (not @t536) @t385 @t514 @t511 @t540))) % 1.62/1.83 (step @p923 :rule chain_m_resolution :premises (@p922 @p467 @p888 @p499 @p607 @p855) :args (@t385 (@list false false false false false) (@list @t431 @t536 @t438 @t474 @t398))) % 1.62/1.83 (step @p924 :rule bool-impl-elim :args (@t13 @t72)) % 1.62/1.83 (step @p925 :rule cong :premises (@p924) :args (@t73)) % 1.62/1.83 (step @p926 :rule eq_resolve :premises (@p26 @p925)) % 1.62/1.83 (step @p927 :rule instantiate :premises (@p926) :args (@t315)) % 1.62/1.83 (step @p928 :rule cnf_or_pos :args (@t542)) % 1.62/1.83 (step @p929 :rule reordering :premises (@p928) :args ((or @t333 @t541 (not @t542)))) % 1.62/1.83 (step @p930 :rule chain_m_resolution :premises (@p929 @p336 @p927) :args (@t541 @t350 (@list @t331 @t542))) % 1.62/1.83 (assume-push @p1068 @t541) % 1.62/1.83 (assume-push @p1069 @t431) % 1.62/1.83 (assume-push @p1070 @t438) % 1.62/1.83 (assume-push @p1071 @t485) % 1.62/1.83 (assume-push @p1072 @t474) % 1.62/1.83 (assume-push @p1073 @t504) % 1.62/1.83 (assume-push @p1074 @t398) % 1.62/1.83 (assume-push @p1075 @t485) % 1.62/1.83 (assume-push @p1076 @t431) % 1.62/1.83 (assume-push @p1077 @t438) % 1.62/1.83 (assume-push @p1078 @t504) % 1.62/1.83 (assume-push @p1079 @t541) % 1.62/1.83 (assume-push @p1080 @t398) % 1.62/1.83 (assume-push @p1081 @t474) % 1.62/1.83 (step @p814 :rule symm :premises (@p651)) % 1.62/1.83 (step @p714 :rule refl :args (@t380)) % 1.62/1.83 (step @p815 :rule symm :premises (@p467)) % 1.62/1.83 (step @p816 :rule symm :premises (@p499)) % 1.62/1.83 (step @p817 :rule trans :premises (@p816 @p815)) % 1.62/1.83 (step @p818 :rule cong :premises (@p817 @p714) :args (@t503)) % 1.62/1.83 (step @p945 :rule symm :premises (@p930)) % 1.62/1.83 (step @p946 :rule symm :premises (@p1074)) % 1.62/1.83 (step @p725 :rule refl :args (@t271)) % 1.62/1.83 (step @p715 :rule trans :premises (@p467 @p499)) % 1.62/1.83 (step @p726 :rule cong :premises (@p715 @p725) :args (@t473)) % 1.62/1.83 (step @p947 :rule trans :premises (@p607 @p726 @p946)) % 1.62/1.83 (step @p720 :rule refl :args (@t264)) % 1.62/1.83 (step @p948 :rule cong :premises (@p720 @p947) :args (@t383)) % 1.62/1.83 (step @p949 :rule trans :premises (@p948 @p945 @p692 @p818 @p814)) % 1.62/1.83 (step-pop @p1082 :rule scope :premises (@p949)) % 1.62/1.83 (step-pop @p1083 :rule scope :premises (@p1082)) % 1.62/1.83 (step-pop @p1084 :rule scope :premises (@p1083)) % 1.62/1.83 (step-pop @p1085 :rule scope :premises (@p1084)) % 1.62/1.83 (step-pop @p1086 :rule scope :premises (@p1085)) % 1.62/1.83 (step-pop @p1087 :rule scope :premises (@p1086)) % 1.62/1.83 (step-pop @p1088 :rule scope :premises (@p1087)) % 1.62/1.83 (step @p950 :rule process_scope :premises (@p1088) :args (@t384)) % 1.62/1.83 (step @p958 :rule and_intro :premises (@p651 @p467 @p499 @p692 @p930 @p1074 @p607)) % 1.62/1.83 (step @p959 :rule modus_ponens :premises (@p958 @p950)) % 1.62/1.83 (step-pop @p1089 :rule scope :premises (@p959)) % 1.62/1.83 (step-pop @p1090 :rule scope :premises (@p1089)) % 1.62/1.83 (step-pop @p1091 :rule scope :premises (@p1090)) % 1.62/1.83 (step-pop @p1092 :rule scope :premises (@p1091)) % 1.62/1.83 (step-pop @p1093 :rule scope :premises (@p1092)) % 1.62/1.83 (step-pop @p1094 :rule scope :premises (@p1093)) % 1.62/1.83 (step-pop @p1095 :rule scope :premises (@p1094)) % 1.62/1.83 (step @p960 :rule process_scope :premises (@p1095) :args (@t384)) % 1.62/1.83 (step @p968 :rule implies_elim :premises (@p960)) % 1.62/1.83 (step @p969 :rule cnf_and_neg :args (@t543)) % 1.62/1.83 (step @p970 :rule resolution :premises (@p969 @p968) :args (true @t543)) % 1.62/1.83 (step @p971 :rule reordering :premises (@p970) :args ((or (not @t541) @t515 @t384 @t514 @t512 @t511 @t509 @t540))) % 1.62/1.83 (step @p972 :rule chain_m_resolution :premises (@p971 @p930 @p467 @p499 @p651 @p607 @p692 @p855) :args (@t384 (@list false false false false false false false) (@list @t541 @t431 @t438 @t485 @t474 @t504 @t398))) % 1.62/1.83 (step @p973 false :rule chain_m_resolution :premises (@p851 @p972 @p923 @p398) :args (false (@list false false true) (@list @t384 @t385 @t386))) % 1.62/1.83 ) % 1.62/1.83 % SZS output end Proof % 1.62/1.83 % cvc5 exiting %------------------------------------------------------------------------------