%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT373+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 : n001.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 0.96s 1.15s % Output : Proof 0.96s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT373+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 06:56:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.96/1.15 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.96/1.15 % SZS status Theorem % 0.96/1.15 % SZS output start Proof % 0.96/1.15 ( % 0.96/1.15 (declare-sort $$unsorted 0) % 0.96/1.15 (declare-const tptp.v5_waybel_3 (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.v2_pralg_1 (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.15 (declare-const tptp.k1_struct_0 (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.15 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.k1_borsuk_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.15 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.r3_waybel_0 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.15 (declare-const tptp.k4_pre_topc (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.15 (declare-const tptp.k1_waybel_0 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.15 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.96/1.15 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.r1_yellow_0 (-> $$unsorted $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.96/1.15 (declare-const tptp.v19_waybel_0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.v1_setfam_1 (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.k1_yellow_0 (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.15 (declare-const tptp.k3_borsuk_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.15 (declare-const tptp.v1_yellow_1 (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.k7_yellow_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.96/1.15 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.15 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.v4_waybel_3 (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 0.96/1.15 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.96/1.15 (declare-const tptp.v2_orders_2 (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.v4_orders_2 (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.l1_orders_2 (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.v17_waybel_0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.v2_yellow_0 (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.k4_yellow_0 (-> $$unsorted $$unsorted)) % 0.96/1.15 (declare-const tptp.k2_funcop_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.15 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.v21_waybel_0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.k2_yellow_0 (-> $$unsorted $$unsorted $$unsorted)) % 0.96/1.15 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.r2_yellow_0 (-> $$unsorted $$unsorted Bool)) % 0.96/1.15 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.96/1.15 (define @t1 () (@var "B" $$unsorted)) % 0.96/1.15 (define @t2 () (@var "A" $$unsorted)) % 0.96/1.15 (define @t3 () (tptp.v17_waybel_0 (tptp.k3_borsuk_1 @t2 @t1 (tptp.k4_yellow_0 @t1)) @t2 @t1)) % 0.96/1.15 (define @t4 () (tptp.l1_orders_2 @t1)) % 0.96/1.15 (define @t5 () (tptp.v2_yellow_0 @t1)) % 0.96/1.15 (define @t6 () (tptp.v4_orders_2 @t1)) % 0.96/1.15 (define @t7 () (tptp.v2_orders_2 @t1)) % 0.96/1.15 (define @t8 () (tptp.v3_struct_0 @t1)) % 0.96/1.15 (define @t9 () (not @t8)) % 0.96/1.15 (define @t10 () (and @t9 @t7 @t6 @t5 @t4)) % 0.96/1.15 (define @t11 () (@list @t1)) % 0.96/1.15 (define @t12 () (forall @t11 (=> @t10 @t3))) % 0.96/1.15 (define @t13 () (tptp.l1_orders_2 @t2)) % 0.96/1.15 (define @t14 () (tptp.v3_struct_0 @t2)) % 0.96/1.15 (define @t15 () (not @t14)) % 0.96/1.15 (define @t16 () (and @t15 @t13)) % 0.96/1.15 (define @t17 () (=> @t16 @t12)) % 0.96/1.15 (define @t18 () (@list @t2)) % 0.96/1.15 (define @t19 () (forall @t18 @t17)) % 0.96/1.15 (define @t20 () (not @t19)) % 0.96/1.15 (define @t21 () (tptp.r2_hidden @t1 @t2)) % 0.96/1.15 (define @t22 () (tptp.r2_hidden @t2 @t1)) % 0.96/1.15 (define @t23 () (@list @t2 @t1)) % 0.96/1.15 (define @t24 () (tptp.v1_xcmplx_0 @t1)) % 0.96/1.15 (define @t25 () (tptp.m1_subset_1 @t1 @t2)) % 0.96/1.15 (define @t26 () (tptp.v1_membered @t2)) % 0.96/1.15 (define @t27 () (tptp.v1_xreal_0 @t1)) % 0.96/1.15 (define @t28 () (tptp.v2_membered @t2)) % 0.96/1.15 (define @t29 () (tptp.v1_rat_1 @t1)) % 0.96/1.15 (define @t30 () (tptp.v3_membered @t2)) % 0.96/1.15 (define @t31 () (tptp.v1_int_1 @t1)) % 0.96/1.15 (define @t32 () (tptp.v4_membered @t2)) % 0.96/1.15 (define @t33 () (tptp.v5_membered @t2)) % 0.96/1.15 (define @t34 () (tptp.v1_xboole_0 @t2)) % 0.96/1.15 (define @t35 () (tptp.v1_membered @t1)) % 0.96/1.15 (define @t36 () (tptp.k1_zfmisc_1 @t2)) % 0.96/1.15 (define @t37 () (tptp.m1_subset_1 @t1 @t36)) % 0.96/1.15 (define @t38 () (tptp.v2_membered @t1)) % 0.96/1.15 (define @t39 () (tptp.v3_membered @t1)) % 0.96/1.15 (define @t40 () (tptp.v4_membered @t1)) % 0.96/1.15 (define @t41 () (tptp.v1_finset_1 @t2)) % 0.96/1.15 (define @t42 () (tptp.v1_funct_1 @t2)) % 0.96/1.15 (define @t43 () (@var "C" $$unsorted)) % 0.96/1.15 (define @t44 () (tptp.k2_zfmisc_1 @t2 @t1)) % 0.96/1.15 (define @t45 () (tptp.m1_subset_1 @t43 (tptp.k1_zfmisc_1 @t44))) % 0.96/1.15 (define @t46 () (@list @t2 @t1 @t43)) % 0.96/1.15 (define @t47 () (tptp.v1_xboole_0 @t1)) % 0.96/1.15 (define @t48 () (not @t47)) % 0.96/1.15 (define @t49 () (not @t34)) % 0.96/1.15 (define @t50 () (and @t49 (tptp.v1_setfam_1 @t2))) % 0.96/1.15 (define @t51 () (tptp.v1_finset_1 @t1)) % 0.96/1.15 (define @t52 () (tptp.v1_relat_1 @t2)) % 0.96/1.15 (define @t53 () (and @t52 @t42 (tptp.v2_funct_1 @t2))) % 0.96/1.15 (define @t54 () (and @t52 @t34 @t42)) % 0.96/1.15 (define @t55 () (tptp.u1_struct_0 @t1)) % 0.96/1.15 (define @t56 () (tptp.u1_struct_0 @t2)) % 0.96/1.15 (define @t57 () (tptp.v1_funct_2 @t43 @t56 @t55)) % 0.96/1.15 (define @t58 () (tptp.v1_funct_1 @t43)) % 0.96/1.15 (define @t59 () (tptp.v17_waybel_0 @t43 @t2 @t1)) % 0.96/1.15 (define @t60 () (tptp.m1_relset_1 @t43 @t56 @t55)) % 0.96/1.15 (define @t61 () (@list @t43)) % 0.96/1.15 (define @t62 () (tptp.k4_yellow_0 @t2)) % 0.96/1.15 (define @t63 () (= @t62 (tptp.k2_yellow_0 @t2 tptp.k1_xboole_0))) % 0.96/1.15 (define @t64 () (forall @t18 (=> @t13 @t63))) % 0.96/1.15 (define @t65 () (@var "D" $$unsorted)) % 0.96/1.15 (define @t66 () (tptp.k4_pre_topc @t2 @t1 @t43 @t65)) % 0.96/1.15 (define @t67 () (and (tptp.r2_yellow_0 @t1 @t66) (= (tptp.k2_yellow_0 @t1 @t66) (tptp.k1_waybel_0 @t2 @t1 @t43 (tptp.k2_yellow_0 @t2 @t65))))) % 0.96/1.15 (define @t68 () (tptp.r2_yellow_0 @t2 @t65)) % 0.96/1.15 (define @t69 () (tptp.r3_waybel_0 @t2 @t1 @t43 @t65)) % 0.96/1.15 (define @t70 () (= @t69 (=> @t68 @t67))) % 0.96/1.15 (define @t71 () (tptp.k1_zfmisc_1 @t56)) % 0.96/1.15 (define @t72 () (tptp.m1_subset_1 @t65 @t71)) % 0.96/1.15 (define @t73 () (@list @t65)) % 0.96/1.15 (define @t74 () (forall @t73 (=> @t72 @t70))) % 0.96/1.15 (define @t75 () (tptp.m2_relset_1 @t43 @t56 @t55)) % 0.96/1.15 (define @t76 () (and @t58 @t57 @t75)) % 0.96/1.15 (define @t77 () (=> @t76 @t74)) % 0.96/1.15 (define @t78 () (forall @t61 @t77)) % 0.96/1.15 (define @t79 () (and @t9 @t4)) % 0.96/1.15 (define @t80 () (=> @t79 @t78)) % 0.96/1.15 (define @t81 () (forall @t11 @t80)) % 0.96/1.15 (define @t82 () (=> @t16 @t81)) % 0.96/1.15 (define @t83 () (forall @t18 @t82)) % 0.96/1.15 (define @t84 () (forall @t73 (=> @t72 @t69))) % 0.96/1.15 (define @t85 () (= @t59 @t84)) % 0.96/1.15 (define @t86 () (=> @t76 @t85)) % 0.96/1.15 (define @t87 () (forall @t61 @t86)) % 0.96/1.15 (define @t88 () (=> @t79 @t87)) % 0.96/1.15 (define @t89 () (forall @t11 @t88)) % 0.96/1.15 (define @t90 () (=> @t16 @t89)) % 0.96/1.15 (define @t91 () (forall @t18 @t90)) % 0.96/1.15 (define @t92 () (tptp.k3_borsuk_1 @t2 @t1 @t43)) % 0.96/1.15 (define @t93 () (= @t92 (tptp.k1_borsuk_1 @t55 @t56 @t43))) % 0.96/1.15 (define @t94 () (tptp.m1_subset_1 @t43 @t55)) % 0.96/1.15 (define @t95 () (forall @t61 (=> @t94 @t93))) % 0.96/1.15 (define @t96 () (tptp.l1_struct_0 @t1)) % 0.96/1.15 (define @t97 () (and @t9 @t96)) % 0.96/1.15 (define @t98 () (=> @t97 @t95)) % 0.96/1.15 (define @t99 () (forall @t11 @t98)) % 0.96/1.15 (define @t100 () (tptp.l1_struct_0 @t2)) % 0.96/1.15 (define @t101 () (=> @t100 @t99)) % 0.96/1.15 (define @t102 () (forall @t18 @t101)) % 0.96/1.15 (define @t103 () (tptp.k1_borsuk_1 @t2 @t1 @t43)) % 0.96/1.15 (define @t104 () (tptp.m1_subset_1 @t43 @t2)) % 0.96/1.15 (define @t105 () (and @t49 @t104)) % 0.96/1.15 (define @t106 () (tptp.k1_struct_0 @t2 @t1)) % 0.96/1.15 (define @t107 () (tptp.m1_subset_1 @t1 @t56)) % 0.96/1.15 (define @t108 () (and @t15 @t100 @t107)) % 0.96/1.15 (define @t109 () (tptp.k1_waybel_0 @t2 @t1 @t43 @t65)) % 0.96/1.15 (define @t110 () (tptp.m1_subset_1 @t109 @t55)) % 0.96/1.15 (define @t111 () (tptp.m1_subset_1 @t65 @t56)) % 0.96/1.15 (define @t112 () (and @t15 @t100 @t9 @t96 @t58 @t57 @t60 @t111)) % 0.96/1.15 (define @t113 () (@list @t2 @t1 @t43 @t65)) % 0.96/1.15 (define @t114 () (forall @t113 (=> @t112 @t110))) % 0.96/1.15 (define @t115 () (tptp.m1_subset_1 (tptp.k2_yellow_0 @t2 @t1) @t56)) % 0.96/1.15 (define @t116 () (forall @t23 (=> @t13 @t115))) % 0.96/1.15 (define @t117 () (and (tptp.v1_funct_1 @t92) (tptp.v1_funct_2 @t92 @t56 @t55) (tptp.m2_relset_1 @t92 @t56 @t55))) % 0.96/1.15 (define @t118 () (and @t100 @t9 @t96 @t94)) % 0.96/1.15 (define @t119 () (forall @t46 (=> @t118 @t117))) % 0.96/1.15 (define @t120 () (and @t100 @t96 @t58 @t57 @t60)) % 0.96/1.15 (define @t121 () (tptp.m1_subset_1 @t62 @t56)) % 0.96/1.15 (define @t122 () (forall @t18 (=> @t13 @t121))) % 0.96/1.15 (define @t123 () (tptp.k7_yellow_2 @t2 @t1 @t43 @t65)) % 0.96/1.15 (define @t124 () (and @t49 @t9 @t96 @t58 (tptp.v1_funct_2 @t43 @t2 @t55) (tptp.m1_relset_1 @t43 @t2 @t55) (tptp.m1_subset_1 @t65 @t2))) % 0.96/1.15 (define @t125 () (forall @t18 (=> @t13 @t100))) % 0.96/1.15 (define @t126 () (tptp.m2_relset_1 @t43 @t2 @t1)) % 0.96/1.15 (define @t127 () (tptp.m1_relset_1 @t43 @t2 @t1)) % 0.96/1.15 (define @t128 () (tptp.k1_tarski @t2)) % 0.96/1.15 (define @t129 () (tptp.v4_membered @t128)) % 0.96/1.15 (define @t130 () (tptp.v3_membered @t128)) % 0.96/1.15 (define @t131 () (tptp.v2_membered @t128)) % 0.96/1.15 (define @t132 () (tptp.v1_membered @t128)) % 0.96/1.15 (define @t133 () (not (tptp.v1_xboole_0 @t128))) % 0.96/1.15 (define @t134 () (not (tptp.v1_xboole_0 @t56))) % 0.96/1.15 (define @t135 () (and @t15 @t100)) % 0.96/1.15 (define @t136 () (forall @t18 (=> @t135 @t134))) % 0.96/1.15 (define @t137 () (tptp.k2_funcop_1 @t2 @t1)) % 0.96/1.15 (define @t138 () (tptp.v1_funct_1 @t137)) % 0.96/1.15 (define @t139 () (tptp.v1_relat_1 @t137)) % 0.96/1.15 (define @t140 () (tptp.k9_relat_1 @t43 @t65)) % 0.96/1.15 (define @t141 () (= @t103 (tptp.k2_funcop_1 @t1 @t43))) % 0.96/1.15 (define @t142 () (forall @t46 (=> @t105 @t141))) % 0.96/1.15 (define @t143 () (tptp.k1_tarski @t1)) % 0.96/1.15 (define @t144 () (= @t106 @t143)) % 0.96/1.15 (define @t145 () (forall @t23 (=> @t108 @t144))) % 0.96/1.15 (define @t146 () (tptp.k1_funct_1 @t43 @t65)) % 0.96/1.15 (define @t147 () (= @t109 @t146)) % 0.96/1.15 (define @t148 () (forall @t113 (=> @t112 @t147))) % 0.96/1.15 (define @t149 () (= @t66 @t140)) % 0.96/1.15 (define @t150 () (forall @t113 (=> @t120 @t149))) % 0.96/1.15 (define @t151 () (tptp.k1_funct_1 (tptp.k2_funcop_1 @t2 @t43) @t1)) % 0.96/1.15 (define @t152 () (=> @t21 (= @t151 @t43))) % 0.96/1.15 (define @t153 () (forall @t46 @t152)) % 0.96/1.15 (define @t154 () (tptp.m1_subset_1 @t2 @t1)) % 0.96/1.15 (define @t155 () (or @t47 @t22)) % 0.96/1.15 (define @t156 () (forall @t23 (=> @t154 @t155))) % 0.96/1.15 (define @t157 () (and (tptp.r1_yellow_0 @t2 @t106) (tptp.r2_yellow_0 @t2 @t106))) % 0.96/1.15 (define @t158 () (forall @t11 (=> @t107 @t157))) % 0.96/1.15 (define @t159 () (tptp.v4_orders_2 @t2)) % 0.96/1.15 (define @t160 () (tptp.v2_orders_2 @t2)) % 0.96/1.15 (define @t161 () (and @t15 @t160 @t159 @t13)) % 0.96/1.15 (define @t162 () (=> @t161 @t158)) % 0.96/1.15 (define @t163 () (forall @t18 @t162)) % 0.96/1.15 (define @t164 () (tptp.k2_yellow_0 @t2 @t106)) % 0.96/1.15 (define @t165 () (tptp.k1_yellow_0 @t2 @t106)) % 0.96/1.15 (define @t166 () (and (= @t165 @t1) (= @t164 @t1))) % 0.96/1.15 (define @t167 () (=> @t107 @t166)) % 0.96/1.15 (define @t168 () (forall @t11 @t167)) % 0.96/1.15 (define @t169 () (=> @t161 @t168)) % 0.96/1.15 (define @t170 () (forall @t18 @t169)) % 0.96/1.15 (define @t171 () (= @t2 tptp.k1_xboole_0)) % 0.96/1.15 (define @t172 () (forall @t23 (= (tptp.r1_tarski @t2 @t143) (or @t171 (= @t2 @t143))))) % 0.96/1.15 (define @t173 () (and (tptp.r2_yellow_0 @t2 tptp.k1_xboole_0) (tptp.r1_yellow_0 @t2 @t56))) % 0.96/1.15 (define @t174 () (tptp.v2_yellow_0 @t2)) % 0.96/1.15 (define @t175 () (and @t15 @t159 @t174 @t13)) % 0.96/1.15 (define @t176 () (forall @t18 (=> @t175 @t173))) % 0.96/1.15 (define @t177 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t43))) % 0.96/1.15 (define @t178 () (@var "BOUND_VARIABLE_8389" $$unsorted)) % 0.96/1.15 (define @t179 () (@var "BOUND_VARIABLE_8387" $$unsorted)) % 0.96/1.15 (define @t180 () (@var "BOUND_VARIABLE_8385" $$unsorted)) % 0.96/1.15 (define @t181 () (tptp.k4_pre_topc @t2 @t180 @t179 @t178)) % 0.96/1.15 (define @t182 () (= (tptp.r3_waybel_0 @t2 @t180 @t179 @t178) (or (not (tptp.r2_yellow_0 @t2 @t178)) (and (tptp.r2_yellow_0 @t180 @t181) (= (tptp.k2_yellow_0 @t180 @t181) (tptp.k1_waybel_0 @t2 @t180 @t179 (tptp.k2_yellow_0 @t2 @t178))))))) % 0.96/1.15 (define @t183 () (not (tptp.m1_subset_1 @t178 @t71))) % 0.96/1.15 (define @t184 () (tptp.u1_struct_0 @t180)) % 0.96/1.15 (define @t185 () (not (tptp.m2_relset_1 @t179 @t56 @t184))) % 0.96/1.15 (define @t186 () (not (tptp.v1_funct_2 @t179 @t56 @t184))) % 0.96/1.15 (define @t187 () (not (tptp.v1_funct_1 @t179))) % 0.96/1.15 (define @t188 () (not (tptp.l1_orders_2 @t180))) % 0.96/1.15 (define @t189 () (tptp.v3_struct_0 @t180)) % 0.96/1.15 (define @t190 () (not @t13)) % 0.96/1.15 (define @t191 () (or @t189 @t188 @t187 @t186 @t185 @t183 @t182)) % 0.96/1.15 (define @t192 () (or @t14 @t190 @t191)) % 0.96/1.15 (define @t193 () (forall (@list @t2 @t180 @t179 @t178) @t192)) % 0.96/1.15 (define @t194 () (@list @t180 @t179 @t178)) % 0.96/1.15 (define @t195 () (forall @t194 @t192)) % 0.96/1.15 (define @t196 () (forall @t194 @t191)) % 0.96/1.15 (define @t197 () (@var "BOUND_VARIABLE_8353" $$unsorted)) % 0.96/1.15 (define @t198 () (@var "BOUND_VARIABLE_8351" $$unsorted)) % 0.96/1.15 (define @t199 () (or @t14 @t190 @t196)) % 0.96/1.15 (define @t200 () (tptp.k4_pre_topc @t2 @t1 @t198 @t197)) % 0.96/1.15 (define @t201 () (= (tptp.r3_waybel_0 @t2 @t1 @t198 @t197) (or (not (tptp.r2_yellow_0 @t2 @t197)) (and (tptp.r2_yellow_0 @t1 @t200) (= (tptp.k2_yellow_0 @t1 @t200) (tptp.k1_waybel_0 @t2 @t1 @t198 (tptp.k2_yellow_0 @t2 @t197))))))) % 0.96/1.15 (define @t202 () (not (tptp.m1_subset_1 @t197 @t71))) % 0.96/1.15 (define @t203 () (not (tptp.m2_relset_1 @t198 @t56 @t55))) % 0.96/1.15 (define @t204 () (not (tptp.v1_funct_2 @t198 @t56 @t55))) % 0.96/1.15 (define @t205 () (not (tptp.v1_funct_1 @t198))) % 0.96/1.15 (define @t206 () (not @t4)) % 0.96/1.15 (define @t207 () (or @t8 @t206 @t205 @t204 @t203 @t202 @t201)) % 0.96/1.15 (define @t208 () (@list @t1 @t198 @t197)) % 0.96/1.15 (define @t209 () (forall @t208 @t207)) % 0.96/1.15 (define @t210 () (or @t14 @t190 @t209)) % 0.96/1.15 (define @t211 () (or @t14 @t190)) % 0.96/1.15 (define @t212 () (not @t15)) % 0.96/1.15 (define @t213 () (not @t16)) % 0.96/1.15 (define @t214 () (or @t205 @t204 @t203 @t202 @t201)) % 0.96/1.15 (define @t215 () (or @t8 @t206 @t214)) % 0.96/1.15 (define @t216 () (forall @t208 @t215)) % 0.96/1.15 (define @t217 () (@list @t198 @t197)) % 0.96/1.15 (define @t218 () (forall @t217 @t215)) % 0.96/1.15 (define @t219 () (forall @t217 @t214)) % 0.96/1.15 (define @t220 () (@var "BOUND_VARIABLE_8323" $$unsorted)) % 0.96/1.15 (define @t221 () (or @t8 @t206 @t219)) % 0.96/1.15 (define @t222 () (tptp.k4_pre_topc @t2 @t1 @t43 @t220)) % 0.96/1.15 (define @t223 () (= (tptp.r3_waybel_0 @t2 @t1 @t43 @t220) (or (not (tptp.r2_yellow_0 @t2 @t220)) (and (tptp.r2_yellow_0 @t1 @t222) (= (tptp.k2_yellow_0 @t1 @t222) (tptp.k1_waybel_0 @t2 @t1 @t43 (tptp.k2_yellow_0 @t2 @t220))))))) % 0.96/1.15 (define @t224 () (not (tptp.m1_subset_1 @t220 @t71))) % 0.96/1.15 (define @t225 () (not @t75)) % 0.96/1.15 (define @t226 () (not @t57)) % 0.96/1.15 (define @t227 () (not @t58)) % 0.96/1.15 (define @t228 () (or @t227 @t226 @t225 @t224 @t223)) % 0.96/1.15 (define @t229 () (@list @t43 @t220)) % 0.96/1.15 (define @t230 () (forall @t229 @t228)) % 0.96/1.15 (define @t231 () (or @t8 @t206 @t230)) % 0.96/1.15 (define @t232 () (or @t8 @t206)) % 0.96/1.15 (define @t233 () (not @t9)) % 0.96/1.15 (define @t234 () (not @t79)) % 0.96/1.15 (define @t235 () (or @t224 @t223)) % 0.96/1.15 (define @t236 () (or @t227 @t226 @t225 @t235)) % 0.96/1.15 (define @t237 () (forall @t229 @t236)) % 0.96/1.15 (define @t238 () (@list @t220)) % 0.96/1.15 (define @t239 () (forall @t238 @t236)) % 0.96/1.15 (define @t240 () (forall @t238 @t235)) % 0.96/1.15 (define @t241 () (or @t227 @t226 @t225 @t240)) % 0.96/1.15 (define @t242 () (not @t72)) % 0.96/1.15 (define @t243 () (forall @t73 (or @t242 (= @t69 (or (not @t68) @t67))))) % 0.96/1.15 (define @t244 () (or @t227 @t226 @t225 @t243)) % 0.96/1.15 (define @t245 () (or @t227 @t226 @t225)) % 0.96/1.15 (define @t246 () (not @t76)) % 0.96/1.15 (define @t247 () (@var "BOUND_VARIABLE_7958" $$unsorted)) % 0.96/1.15 (define @t248 () (tptp.v17_waybel_0 (tptp.k3_borsuk_1 @t2 @t247 (tptp.k4_yellow_0 @t247)) @t2 @t247)) % 0.96/1.15 (define @t249 () (not (tptp.l1_orders_2 @t247))) % 0.96/1.15 (define @t250 () (not (tptp.v2_yellow_0 @t247))) % 0.96/1.15 (define @t251 () (not (tptp.v4_orders_2 @t247))) % 0.96/1.15 (define @t252 () (not (tptp.v2_orders_2 @t247))) % 0.96/1.15 (define @t253 () (tptp.v3_struct_0 @t247)) % 0.96/1.15 (define @t254 () (or @t14 @t190 @t253 @t252 @t251 @t250 @t249 @t248)) % 0.96/1.15 (define @t255 () (@list @t2 @t247)) % 0.96/1.15 (define @t256 () (forall @t255 @t254)) % 0.96/1.15 (define @t257 () (@quantifiers_skolemize @t256 1)) % 0.96/1.15 (define @t258 () (tptp.k4_yellow_0 @t257)) % 0.96/1.15 (define @t259 () (@quantifiers_skolemize @t256 0)) % 0.96/1.15 (define @t260 () (tptp.k3_borsuk_1 @t259 @t257 @t258)) % 0.96/1.15 (define @t261 () (tptp.u1_struct_0 @t259)) % 0.96/1.15 (define @t262 () (tptp.k1_zfmisc_1 @t261)) % 0.96/1.15 (define @t263 () (forall @t73 (or (not (tptp.m1_subset_1 @t65 @t262)) (tptp.r3_waybel_0 @t259 @t257 @t260 @t65)))) % 0.96/1.15 (define @t264 () (@quantifiers_skolemize @t263 0)) % 0.96/1.15 (define @t265 () (@list @t259 @t257 @t260 @t264)) % 0.96/1.15 (define @t266 () (@var "BOUND_VARIABLE_8458" $$unsorted)) % 0.96/1.15 (define @t267 () (@var "BOUND_VARIABLE_8456" $$unsorted)) % 0.96/1.15 (define @t268 () (= (tptp.v17_waybel_0 @t266 @t2 @t267) (forall @t73 (or @t242 (tptp.r3_waybel_0 @t2 @t267 @t266 @t65))))) % 0.96/1.15 (define @t269 () (tptp.u1_struct_0 @t267)) % 0.96/1.15 (define @t270 () (not (tptp.m2_relset_1 @t266 @t56 @t269))) % 0.96/1.15 (define @t271 () (not (tptp.v1_funct_2 @t266 @t56 @t269))) % 0.96/1.15 (define @t272 () (not (tptp.v1_funct_1 @t266))) % 0.96/1.15 (define @t273 () (not (tptp.l1_orders_2 @t267))) % 0.96/1.15 (define @t274 () (tptp.v3_struct_0 @t267)) % 0.96/1.15 (define @t275 () (or @t274 @t273 @t272 @t271 @t270 @t268)) % 0.96/1.15 (define @t276 () (or @t14 @t190 @t275)) % 0.96/1.15 (define @t277 () (forall (@list @t2 @t267 @t266) @t276)) % 0.96/1.15 (define @t278 () (@list @t267 @t266)) % 0.96/1.15 (define @t279 () (forall @t278 @t276)) % 0.96/1.15 (define @t280 () (forall @t278 @t275)) % 0.96/1.15 (define @t281 () (@var "BOUND_VARIABLE_8433" $$unsorted)) % 0.96/1.15 (define @t282 () (or @t14 @t190 @t280)) % 0.96/1.15 (define @t283 () (= (tptp.v17_waybel_0 @t281 @t2 @t1) (forall @t73 (or @t242 (tptp.r3_waybel_0 @t2 @t1 @t281 @t65))))) % 0.96/1.15 (define @t284 () (not (tptp.m2_relset_1 @t281 @t56 @t55))) % 0.96/1.15 (define @t285 () (not (tptp.v1_funct_2 @t281 @t56 @t55))) % 0.96/1.15 (define @t286 () (not (tptp.v1_funct_1 @t281))) % 0.96/1.15 (define @t287 () (or @t8 @t206 @t286 @t285 @t284 @t283)) % 0.96/1.15 (define @t288 () (@list @t1 @t281)) % 0.96/1.15 (define @t289 () (forall @t288 @t287)) % 0.96/1.15 (define @t290 () (or @t14 @t190 @t289)) % 0.96/1.15 (define @t291 () (or @t286 @t285 @t284 @t283)) % 0.96/1.15 (define @t292 () (or @t8 @t206 @t291)) % 0.96/1.15 (define @t293 () (forall @t288 @t292)) % 0.96/1.15 (define @t294 () (@list @t281)) % 0.96/1.15 (define @t295 () (forall @t294 @t292)) % 0.96/1.15 (define @t296 () (forall @t294 @t291)) % 0.96/1.15 (define @t297 () (@list @t43)) % 0.96/1.15 (define @t298 () (or @t8 @t206 @t296)) % 0.96/1.15 (define @t299 () (= @t59 (forall @t73 (or @t242 @t69)))) % 0.96/1.15 (define @t300 () (or @t227 @t226 @t225 @t299)) % 0.96/1.15 (define @t301 () (forall @t61 @t300)) % 0.96/1.15 (define @t302 () (or @t8 @t206 @t301)) % 0.96/1.15 (define @t303 () (not @t94)) % 0.96/1.15 (define @t304 () (not @t96)) % 0.96/1.15 (define @t305 () (not @t100)) % 0.96/1.15 (define @t306 () (or @t305 @t233 @t304 @t303)) % 0.96/1.15 (define @t307 () (@list @t259 @t257 @t258)) % 0.96/1.15 (define @t308 () (@list @t257)) % 0.96/1.15 (define @t309 () (or @t253 @t252 @t251 @t250 @t249 @t248)) % 0.96/1.15 (define @t310 () (or @t14 @t190 @t309)) % 0.96/1.15 (define @t311 () (forall @t255 @t310)) % 0.96/1.15 (define @t312 () (@list @t247)) % 0.96/1.15 (define @t313 () (forall @t312 @t310)) % 0.96/1.15 (define @t314 () (forall @t312 @t309)) % 0.96/1.15 (define @t315 () (@list @t1)) % 0.96/1.15 (define @t316 () (or @t14 @t190 @t314)) % 0.96/1.15 (define @t317 () (not @t5)) % 0.96/1.15 (define @t318 () (not @t6)) % 0.96/1.15 (define @t319 () (not @t7)) % 0.96/1.15 (define @t320 () (or @t8 @t319 @t318 @t317 @t206 @t3)) % 0.96/1.15 (define @t321 () (forall @t11 @t320)) % 0.96/1.15 (define @t322 () (or @t14 @t190 @t321)) % 0.96/1.15 (define @t323 () (or @t233 @t319 @t318 @t317 @t206)) % 0.96/1.15 (define @t324 () (tptp.l1_orders_2 @t257)) % 0.96/1.15 (define @t325 () (tptp.v17_waybel_0 @t260 @t259 @t257)) % 0.96/1.15 (define @t326 () (not @t324)) % 0.96/1.15 (define @t327 () (tptp.v2_yellow_0 @t257)) % 0.96/1.15 (define @t328 () (not @t327)) % 0.96/1.15 (define @t329 () (tptp.v4_orders_2 @t257)) % 0.96/1.15 (define @t330 () (not @t329)) % 0.96/1.15 (define @t331 () (tptp.v2_orders_2 @t257)) % 0.96/1.15 (define @t332 () (not @t331)) % 0.96/1.15 (define @t333 () (tptp.v3_struct_0 @t257)) % 0.96/1.15 (define @t334 () (tptp.l1_orders_2 @t259)) % 0.96/1.15 (define @t335 () (not @t334)) % 0.96/1.15 (define @t336 () (tptp.v3_struct_0 @t259)) % 0.96/1.15 (define @t337 () (or @t336 @t335 @t333 @t332 @t330 @t328 @t326 @t325)) % 0.96/1.15 (define @t338 () (@list true)) % 0.96/1.15 (define @t339 () (@list @t337)) % 0.96/1.15 (define @t340 () (tptp.u1_struct_0 @t257)) % 0.96/1.15 (define @t341 () (tptp.m1_subset_1 @t258 @t340)) % 0.96/1.15 (define @t342 () (or @t326 @t341)) % 0.96/1.15 (define @t343 () (@list false false)) % 0.96/1.15 (define @t344 () (tptp.l1_struct_0 @t257)) % 0.96/1.15 (define @t345 () (or @t326 @t344)) % 0.96/1.15 (define @t346 () (@list @t259)) % 0.96/1.15 (define @t347 () (tptp.l1_struct_0 @t259)) % 0.96/1.15 (define @t348 () (or @t335 @t347)) % 0.96/1.15 (define @t349 () (tptp.m2_relset_1 @t260 @t261 @t340)) % 0.96/1.15 (define @t350 () (tptp.v1_funct_2 @t260 @t261 @t340)) % 0.96/1.15 (define @t351 () (tptp.v1_funct_1 @t260)) % 0.96/1.15 (define @t352 () (and @t351 @t350 @t349)) % 0.96/1.15 (define @t353 () (not @t341)) % 0.96/1.15 (define @t354 () (not @t344)) % 0.96/1.15 (define @t355 () (not @t347)) % 0.96/1.15 (define @t356 () (or @t355 @t333 @t354 @t353 @t352)) % 0.96/1.15 (define @t357 () (@list true false false false false)) % 0.96/1.15 (define @t358 () (not @t352)) % 0.96/1.15 (define @t359 () (@list false)) % 0.96/1.15 (define @t360 () (@list @t352)) % 0.96/1.15 (define @t361 () (= @t325 @t263)) % 0.96/1.15 (define @t362 () (not @t349)) % 0.96/1.15 (define @t363 () (not @t350)) % 0.96/1.15 (define @t364 () (not @t351)) % 0.96/1.15 (define @t365 () (or @t336 @t335 @t333 @t326 @t364 @t363 @t362 @t361)) % 0.96/1.15 (define @t366 () (not @t263)) % 0.96/1.15 (define @t367 () (@list true false)) % 0.96/1.15 (define @t368 () (tptp.m1_subset_1 @t264 @t262)) % 0.96/1.15 (define @t369 () (tptp.r3_waybel_0 @t259 @t257 @t260 @t264)) % 0.96/1.15 (define @t370 () (not @t368)) % 0.96/1.15 (define @t371 () (or @t370 @t369)) % 0.96/1.15 (define @t372 () (@list @t371)) % 0.96/1.15 (define @t373 () (tptp.k2_yellow_0 @t259 @t264)) % 0.96/1.15 (define @t374 () (tptp.k1_waybel_0 @t259 @t257 @t260 @t373)) % 0.96/1.15 (define @t375 () (tptp.k4_pre_topc @t259 @t257 @t260 @t264)) % 0.96/1.15 (define @t376 () (tptp.k2_yellow_0 @t257 @t375)) % 0.96/1.15 (define @t377 () (= @t376 @t374)) % 0.96/1.15 (define @t378 () (tptp.r2_yellow_0 @t257 @t375)) % 0.96/1.15 (define @t379 () (and @t378 @t377)) % 0.96/1.15 (define @t380 () (or (not (tptp.r2_yellow_0 @t259 @t264)) @t379)) % 0.96/1.15 (define @t381 () (= @t369 @t380)) % 0.96/1.15 (define @t382 () (or @t336 @t335 @t333 @t326 @t364 @t363 @t362 @t370 @t381)) % 0.96/1.15 (define @t383 () (not @t380)) % 0.96/1.15 (define @t384 () (tptp.k2_funcop_1 @t261 @t258)) % 0.96/1.15 (define @t385 () (tptp.k9_relat_1 @t384 @t264)) % 0.96/1.15 (define @t386 () (tptp.k1_tarski @t258)) % 0.96/1.15 (define @t387 () (or (= @t385 tptp.k1_xboole_0) (= @t385 @t386))) % 0.96/1.15 (define @t388 () (tptp.r1_tarski @t385 @t386)) % 0.96/1.15 (define @t389 () (= @t388 @t387)) % 0.96/1.15 (define @t390 () (= @t386 @t385)) % 0.96/1.15 (define @t391 () (= tptp.k1_xboole_0 @t385)) % 0.96/1.15 (define @t392 () (or @t391 @t390)) % 0.96/1.15 (define @t393 () (= @t388 @t392)) % 0.96/1.15 (define @t394 () (@var "BOUND_VARIABLE_8512" $$unsorted)) % 0.96/1.15 (define @t395 () (@var "BOUND_VARIABLE_8510" $$unsorted)) % 0.96/1.15 (define @t396 () (tptp.u1_struct_0 @t395)) % 0.96/1.15 (define @t397 () (= (tptp.k3_borsuk_1 @t2 @t395 @t394) (tptp.k1_borsuk_1 @t396 @t56 @t394))) % 0.96/1.15 (define @t398 () (not (tptp.m1_subset_1 @t394 @t396))) % 0.96/1.15 (define @t399 () (not (tptp.l1_struct_0 @t395))) % 0.96/1.15 (define @t400 () (tptp.v3_struct_0 @t395)) % 0.96/1.15 (define @t401 () (or @t400 @t399 @t398 @t397)) % 0.96/1.15 (define @t402 () (or @t305 @t401)) % 0.96/1.15 (define @t403 () (forall (@list @t2 @t395 @t394) @t402)) % 0.96/1.15 (define @t404 () (@list @t395 @t394)) % 0.96/1.15 (define @t405 () (forall @t404 @t402)) % 0.96/1.15 (define @t406 () (forall @t404 @t401)) % 0.96/1.15 (define @t407 () (@var "BOUND_VARIABLE_8492" $$unsorted)) % 0.96/1.15 (define @t408 () (or @t305 @t406)) % 0.96/1.15 (define @t409 () (= (tptp.k3_borsuk_1 @t2 @t1 @t407) (tptp.k1_borsuk_1 @t55 @t56 @t407))) % 0.96/1.15 (define @t410 () (not (tptp.m1_subset_1 @t407 @t55))) % 0.96/1.15 (define @t411 () (or @t8 @t304 @t410 @t409)) % 0.96/1.15 (define @t412 () (@list @t1 @t407)) % 0.96/1.15 (define @t413 () (forall @t412 @t411)) % 0.96/1.15 (define @t414 () (or @t410 @t409)) % 0.96/1.15 (define @t415 () (or @t8 @t304 @t414)) % 0.96/1.15 (define @t416 () (forall @t412 @t415)) % 0.96/1.15 (define @t417 () (@list @t407)) % 0.96/1.15 (define @t418 () (forall @t417 @t415)) % 0.96/1.15 (define @t419 () (forall @t417 @t414)) % 0.96/1.15 (define @t420 () (or @t8 @t304 @t419)) % 0.96/1.15 (define @t421 () (forall @t61 (or @t303 @t93))) % 0.96/1.15 (define @t422 () (or @t8 @t304 @t421)) % 0.96/1.15 (define @t423 () (tptp.k1_borsuk_1 @t340 @t261 @t258)) % 0.96/1.15 (define @t424 () (= @t260 @t423)) % 0.96/1.15 (define @t425 () (or @t355 @t333 @t354 @t353 @t424)) % 0.96/1.15 (define @t426 () (not @t174)) % 0.96/1.15 (define @t427 () (not @t159)) % 0.96/1.15 (define @t428 () (or @t212 @t427 @t426 @t190)) % 0.96/1.15 (define @t429 () (tptp.r2_yellow_0 @t257 tptp.k1_xboole_0)) % 0.96/1.15 (define @t430 () (and @t429 (tptp.r1_yellow_0 @t257 @t340))) % 0.96/1.15 (define @t431 () (or @t333 @t330 @t328 @t326 @t430)) % 0.96/1.15 (define @t432 () (not @t104)) % 0.96/1.15 (define @t433 () (tptp.v1_xboole_0 @t340)) % 0.96/1.15 (define @t434 () (not @t433)) % 0.96/1.15 (define @t435 () (or @t333 @t354 @t434)) % 0.96/1.15 (define @t436 () (@list true false false)) % 0.96/1.15 (define @t437 () (= @t423 @t384)) % 0.96/1.15 (define @t438 () (or @t433 @t353 @t437)) % 0.96/1.15 (define @t439 () (not @t60)) % 0.96/1.15 (define @t440 () (or @t305 @t304 @t227 @t226 @t439)) % 0.96/1.15 (define @t441 () (tptp.m1_relset_1 @t260 @t261 @t340)) % 0.96/1.15 (define @t442 () (= @t349 @t441)) % 0.96/1.15 (define @t443 () (tptp.k9_relat_1 @t260 @t264)) % 0.96/1.15 (define @t444 () (= @t375 @t443)) % 0.96/1.15 (define @t445 () (not @t441)) % 0.96/1.15 (define @t446 () (or @t355 @t354 @t364 @t363 @t445 @t444)) % 0.96/1.15 (define @t447 () (and @t424 @t429 @t437 @t444 @t391)) % 0.96/1.15 (define @t448 () (not @t391)) % 0.96/1.15 (define @t449 () (not @t444)) % 0.96/1.15 (define @t450 () (not @t437)) % 0.96/1.15 (define @t451 () (not @t424)) % 0.96/1.15 (define @t452 () (= @t258 (tptp.k2_yellow_0 @t257 tptp.k1_xboole_0))) % 0.96/1.15 (define @t453 () (or @t326 @t452)) % 0.96/1.15 (define @t454 () (not @t111)) % 0.96/1.15 (define @t455 () (or @t14 @t305 @t8 @t304 @t227 @t226 @t439 @t454)) % 0.96/1.15 (define @t456 () (or @t212 @t305 @t233 @t304 @t227 @t226 @t439 @t454)) % 0.96/1.15 (define @t457 () (not @t112)) % 0.96/1.15 (define @t458 () (@list @t259 @t257 @t260 @t373)) % 0.96/1.15 (define @t459 () (tptp.m1_subset_1 @t373 @t261)) % 0.96/1.15 (define @t460 () (or @t335 @t459)) % 0.96/1.15 (define @t461 () (tptp.k1_funct_1 @t260 @t373)) % 0.96/1.15 (define @t462 () (= @t374 @t461)) % 0.96/1.15 (define @t463 () (not @t459)) % 0.96/1.15 (define @t464 () (or @t336 @t355 @t333 @t354 @t364 @t363 @t445 @t463 @t462)) % 0.96/1.15 (define @t465 () (@list true true false false false false false false false)) % 0.96/1.15 (define @t466 () (= @t43 @t151)) % 0.96/1.15 (define @t467 () (not @t154)) % 0.96/1.15 (define @t468 () (tptp.v1_xboole_0 @t261)) % 0.96/1.15 (define @t469 () (not @t468)) % 0.96/1.15 (define @t470 () (or @t336 @t355 @t469)) % 0.96/1.15 (define @t471 () (tptp.r2_hidden @t373 @t261)) % 0.96/1.15 (define @t472 () (or @t463 @t468 @t471)) % 0.96/1.15 (define @t473 () (tptp.k1_funct_1 @t384 @t373)) % 0.96/1.15 (define @t474 () (= @t258 @t473)) % 0.96/1.15 (define @t475 () (not @t471)) % 0.96/1.15 (define @t476 () (or @t475 @t474)) % 0.96/1.15 (define @t477 () (and @t452 @t424 @t437 @t462 @t444 @t474 @t391)) % 0.96/1.15 (define @t478 () (not @t474)) % 0.96/1.15 (define @t479 () (not @t462)) % 0.96/1.15 (define @t480 () (not @t107)) % 0.96/1.15 (define @t481 () (or @t212 @t305 @t480)) % 0.96/1.15 (define @t482 () (tptp.m1_subset_1 @t374 @t340)) % 0.96/1.15 (define @t483 () (or @t336 @t355 @t333 @t354 @t364 @t363 @t445 @t463 @t482)) % 0.96/1.15 (define @t484 () (tptp.k1_tarski @t374)) % 0.96/1.15 (define @t485 () (tptp.k1_struct_0 @t257 @t374)) % 0.96/1.15 (define @t486 () (= @t485 @t484)) % 0.96/1.15 (define @t487 () (not @t482)) % 0.96/1.15 (define @t488 () (or @t333 @t354 @t487 @t486)) % 0.96/1.15 (define @t489 () (@list true false false false)) % 0.96/1.15 (define @t490 () (@var "BOUND_VARIABLE_8779" $$unsorted)) % 0.96/1.15 (define @t491 () (tptp.k1_struct_0 @t2 @t490)) % 0.96/1.15 (define @t492 () (and (tptp.r1_yellow_0 @t2 @t491) (tptp.r2_yellow_0 @t2 @t491))) % 0.96/1.15 (define @t493 () (not (tptp.m1_subset_1 @t490 @t56))) % 0.96/1.15 (define @t494 () (not @t160)) % 0.96/1.15 (define @t495 () (or @t493 @t492)) % 0.96/1.15 (define @t496 () (or @t14 @t494 @t427 @t190 @t495)) % 0.96/1.15 (define @t497 () (forall (@list @t2 @t490) @t496)) % 0.96/1.15 (define @t498 () (@list @t490)) % 0.96/1.15 (define @t499 () (forall @t498 @t496)) % 0.96/1.15 (define @t500 () (forall @t498 @t495)) % 0.96/1.15 (define @t501 () (or @t14 @t494 @t427 @t190 @t500)) % 0.96/1.15 (define @t502 () (forall @t11 (or @t480 @t157))) % 0.96/1.15 (define @t503 () (or @t14 @t494 @t427 @t190 @t502)) % 0.96/1.15 (define @t504 () (or @t14 @t494 @t427 @t190)) % 0.96/1.15 (define @t505 () (or @t212 @t494 @t427 @t190)) % 0.96/1.15 (define @t506 () (not @t161)) % 0.96/1.15 (define @t507 () (@list @t257 @t258)) % 0.96/1.15 (define @t508 () (tptp.k1_struct_0 @t257 @t258)) % 0.96/1.15 (define @t509 () (tptp.r2_yellow_0 @t257 @t508)) % 0.96/1.15 (define @t510 () (and (tptp.r1_yellow_0 @t257 @t508) @t509)) % 0.96/1.15 (define @t511 () (or @t333 @t332 @t330 @t326 @t353 @t510)) % 0.96/1.15 (define @t512 () (@list true false false false false false)) % 0.96/1.15 (define @t513 () (= @t508 @t386)) % 0.96/1.15 (define @t514 () (or @t333 @t354 @t353 @t513)) % 0.96/1.15 (define @t515 () (and @t424 @t437 @t513 @t509 @t462 @t444 @t486 @t474 @t390)) % 0.96/1.15 (define @t516 () (not @t390)) % 0.96/1.15 (define @t517 () (not @t486)) % 0.96/1.15 (define @t518 () (not @t513)) % 0.96/1.15 (define @t519 () (@list false false false false false false false false false)) % 0.96/1.15 (define @t520 () (@var "BOUND_VARIABLE_8805" $$unsorted)) % 0.96/1.15 (define @t521 () (tptp.k1_struct_0 @t2 @t520)) % 0.96/1.15 (define @t522 () (and (= @t520 (tptp.k1_yellow_0 @t2 @t521)) (= @t520 (tptp.k2_yellow_0 @t2 @t521)))) % 0.96/1.15 (define @t523 () (not (tptp.m1_subset_1 @t520 @t56))) % 0.96/1.15 (define @t524 () (or @t523 @t522)) % 0.96/1.15 (define @t525 () (or @t14 @t494 @t427 @t190 @t524)) % 0.96/1.15 (define @t526 () (forall (@list @t2 @t520) @t525)) % 0.96/1.15 (define @t527 () (@list @t520)) % 0.96/1.15 (define @t528 () (forall @t527 @t525)) % 0.96/1.15 (define @t529 () (forall @t527 @t524)) % 0.96/1.15 (define @t530 () (or @t14 @t494 @t427 @t190 @t529)) % 0.96/1.15 (define @t531 () (and (= @t1 @t165) (= @t1 @t164))) % 0.96/1.15 (define @t532 () (forall @t11 (or @t480 @t531))) % 0.96/1.15 (define @t533 () (or @t14 @t494 @t427 @t190 @t532)) % 0.96/1.15 (define @t534 () (= @t258 (tptp.k2_yellow_0 @t257 @t508))) % 0.96/1.15 (define @t535 () (and (= @t258 (tptp.k1_yellow_0 @t257 @t508)) @t534)) % 0.96/1.15 (define @t536 () (or @t333 @t332 @t330 @t326 @t353 @t535)) % 0.96/1.15 (define @t537 () (and @t424 @t437 @t513 @t534 @t462 @t444 @t486 @t474 @t390)) % 0.96/1.15 (assume @p1 @t20) % 0.96/1.15 (assume @p2 (forall @t23 (=> @t22 (not @t21)))) % 0.96/1.15 (assume @p3 (forall @t18 (=> @t26 (forall @t11 (=> @t25 @t24))))) % 0.96/1.15 (assume @p4 (forall @t18 (=> @t28 (forall @t11 (=> @t25 (and @t24 @t27)))))) % 0.96/1.15 (assume @p5 (forall @t18 (=> @t30 (forall @t11 (=> @t25 (and @t24 @t27 @t29)))))) % 0.96/1.15 (assume @p6 (forall @t18 (=> @t32 (forall @t11 (=> @t25 (and @t24 @t27 @t31 @t29)))))) % 0.96/1.15 (assume @p7 (forall @t18 (=> @t33 (forall @t11 (=> @t25 (and @t24 (tptp.v4_ordinal2 @t1) @t27 @t31 @t29)))))) % 0.96/1.15 (assume @p8 (forall @t18 (=> @t34 (and @t26 @t28 @t30 @t32 @t33)))) % 0.96/1.15 (assume @p9 (forall @t18 (=> @t26 (forall @t11 (=> @t37 @t35))))) % 0.96/1.15 (assume @p10 (forall @t18 (=> @t28 (forall @t11 (=> @t37 (and @t35 @t38)))))) % 0.96/1.15 (assume @p11 (forall @t18 (=> @t30 (forall @t11 (=> @t37 (and @t35 @t38 @t39)))))) % 0.96/1.15 (assume @p12 (forall @t18 (=> @t32 (forall @t11 (=> @t37 (and @t35 @t38 @t39 @t40)))))) % 0.96/1.15 (assume @p13 (forall @t18 (=> @t34 @t41))) % 0.96/1.15 (assume @p14 (forall @t18 (=> @t34 @t42))) % 0.96/1.15 (assume @p15 (forall @t18 (=> @t33 @t32))) % 0.96/1.15 (assume @p16 (forall @t46 (=> @t45 (tptp.v1_relat_1 @t43)))) % 0.96/1.15 (assume @p17 (forall @t18 (=> @t50 (forall @t11 (=> @t25 @t48))))) % 0.96/1.15 (assume @p18 (forall @t18 (=> @t33 (forall @t11 (=> @t37 (and @t35 @t38 @t39 @t40 (tptp.v5_membered @t1))))))) % 0.96/1.15 (assume @p19 (forall @t18 (=> @t41 (forall @t11 (=> @t37 @t51))))) % 0.96/1.15 (assume @p20 (forall @t18 (=> @t54 @t53))) % 0.96/1.15 (assume @p21 (forall @t18 (=> @t32 @t30))) % 0.96/1.15 (assume @p22 (forall @t18 (=> @t30 @t28))) % 0.96/1.15 (assume @p23 (forall @t18 (=> @t28 @t26))) % 0.96/1.15 (assume @p24 (forall @t23 (=> (and @t15 @t13 @t9 @t4) (forall @t61 (=> @t60 (=> (and @t58 @t57 @t59) (and @t58 @t57 (tptp.v19_waybel_0 @t43 @t2 @t1) (tptp.v21_waybel_0 @t43 @t2 @t1)))))))) % 0.96/1.15 (assume @p25 @t64) % 0.96/1.15 (assume @p26 @t83) % 0.96/1.15 (assume @p27 @t91) % 0.96/1.15 (assume @p28 @t102) % 0.96/1.15 (assume @p29 (forall @t46 (=> @t105 (and (tptp.v1_funct_1 @t103) (tptp.v1_funct_2 @t103 @t1 @t2) (tptp.m2_relset_1 @t103 @t1 @t2))))) % 0.96/1.15 (assume @p30 true) % 0.96/1.15 (assume @p31 (forall @t23 (=> @t108 (tptp.m1_subset_1 @t106 @t71)))) % 0.96/1.15 (assume @p32 @t114) % 0.96/1.15 (assume @p33 (forall @t23 (=> @t13 (tptp.m1_subset_1 (tptp.k1_yellow_0 @t2 @t1) @t56)))) % 0.96/1.15 (assume @p34 @t116) % 0.96/1.15 (assume @p35 @t119) % 0.96/1.15 (assume @p36 (forall @t113 (=> @t120 (tptp.m1_subset_1 @t66 (tptp.k1_zfmisc_1 @t55))))) % 0.96/1.15 (assume @p37 @t122) % 0.96/1.15 (assume @p38 (forall @t113 (=> @t124 (tptp.m1_subset_1 @t123 @t55)))) % 0.96/1.15 (assume @p39 @t125) % 0.96/1.15 (assume @p40 (forall @t46 (=> @t126 @t45))) % 0.96/1.15 (assume @p41 (exists @t18 @t13)) % 0.96/1.15 (assume @p42 (exists @t18 @t100)) % 0.96/1.15 (assume @p43 (forall @t23 (exists @t61 @t127))) % 0.96/1.15 (assume @p44 (forall @t18 (exists @t11 @t25))) % 0.96/1.15 (assume @p45 (forall @t23 (exists @t61 @t126))) % 0.96/1.15 (assume @p46 (forall @t18 (=> (tptp.v1_int_1 @t2) (and @t132 @t131 @t130 @t129)))) % 0.96/1.15 (assume @p47 (forall @t18 (=> (tptp.v4_ordinal2 @t2) (and @t132 @t131 @t130 @t129 (tptp.v5_membered @t128))))) % 0.96/1.15 (assume @p48 (forall @t23 (=> (and @t52 @t42 @t51) (tptp.v1_finset_1 (tptp.k9_relat_1 @t2 @t1))))) % 0.96/1.15 (assume @p49 (forall @t23 (=> (and @t41 @t51) (tptp.v1_finset_1 @t44)))) % 0.96/1.15 (assume @p50 (forall @t18 (and @t133 (tptp.v1_finset_1 @t128)))) % 0.96/1.15 (assume @p51 @t136) % 0.96/1.15 (assume @p52 (forall @t23 (=> @t79 (and @t139 @t138 (tptp.v1_yellow_1 @t137) (tptp.v4_waybel_3 @t137) (tptp.v2_pralg_1 @t137))))) % 0.96/1.15 (assume @p53 (forall @t23 (=> (and @t7 @t4) (and @t139 @t138 (tptp.v5_waybel_3 @t137))))) % 0.96/1.15 (assume @p54 (forall @t113 (=> (and @t49 @t48 @t58 (tptp.v1_funct_2 @t43 @t2 @t1) @t127 (not (tptp.v1_xboole_0 @t65)) (tptp.m1_subset_1 @t65 @t36)) (not (tptp.v1_xboole_0 @t140))))) % 0.96/1.15 (assume @p55 (forall @t18 (=> @t49 (and @t133 (tptp.v1_setfam_1 @t128))))) % 0.96/1.15 (assume @p56 (and (tptp.v1_xboole_0 tptp.k1_xboole_0) (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0))) % 0.96/1.15 (assume @p57 (forall @t18 (=> (tptp.v1_xcmplx_0 @t2) @t132))) % 0.96/1.15 (assume @p58 (forall @t18 (=> (tptp.v1_xreal_0 @t2) (and @t132 @t131)))) % 0.96/1.15 (assume @p59 (forall @t18 (=> (tptp.v1_rat_1 @t2) (and @t132 @t131 @t130)))) % 0.96/1.15 (assume @p60 (exists @t18 (and @t49 @t41))) % 0.96/1.15 (assume @p61 (exists @t18 (and @t52 @t42))) % 0.96/1.15 (assume @p62 (exists @t18 (and @t49 @t26 @t28 @t30 @t32 @t33))) % 0.96/1.15 (assume @p63 (exists @t18 @t50)) % 0.96/1.15 (assume @p64 (exists @t18 @t54)) % 0.96/1.15 (assume @p65 (forall @t18 (=> @t49 (exists @t11 (and @t37 @t48 @t51))))) % 0.96/1.15 (assume @p66 (exists @t18 @t53)) % 0.96/1.15 (assume @p67 (exists @t18 (and @t100 @t15))) % 0.96/1.15 (assume @p68 (forall @t18 (=> @t135 (exists @t11 (and (tptp.m1_subset_1 @t1 @t71) @t48))))) % 0.96/1.15 (assume @p69 @t142) % 0.96/1.15 (assume @p70 @t145) % 0.96/1.15 (assume @p71 @t148) % 0.96/1.15 (assume @p72 @t150) % 0.96/1.15 (assume @p73 (forall @t113 (=> @t124 (= @t123 @t146)))) % 0.96/1.15 (assume @p74 (forall @t46 (= @t126 @t127))) % 0.96/1.15 (assume @p75 (forall @t23 (tptp.r1_tarski @t2 @t2))) % 0.96/1.15 (assume @p76 @t153) % 0.96/1.15 (assume @p77 (forall @t23 (=> @t22 @t154))) % 0.96/1.15 (assume @p78 @t156) % 0.96/1.15 (assume @p79 @t163) % 0.96/1.15 (assume @p80 @t170) % 0.96/1.15 (assume @p81 @t172) % 0.96/1.15 (assume @p82 (forall @t23 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t2 @t1)))) % 0.96/1.15 (assume @p83 @t176) % 0.96/1.15 (assume @p84 (forall @t46 (=> (and @t22 @t177) (tptp.m1_subset_1 @t2 @t43)))) % 0.96/1.15 (assume @p85 (forall @t46 (not (and @t22 @t177 (tptp.v1_xboole_0 @t43))))) % 0.96/1.15 (assume @p86 (forall @t18 (=> @t34 @t171))) % 0.96/1.15 (assume @p87 (forall @t46 (tptp.r1_tarski (tptp.k9_relat_1 @t137 @t43) @t143))) % 0.96/1.15 (assume @p88 (forall @t23 (not (and @t22 @t47)))) % 0.96/1.15 (assume @p89 (forall @t23 (not (and @t34 (not (= @t2 @t1)) @t47)))) % 0.96/1.15 (step @p90 :rule aci_norm :args ((= @t192 (or @t14 @t190 @t189 @t188 @t187 @t186 @t185 @t183 @t182)))) % 0.96/1.15 (step @p91 :rule cong :premises (@p90) :args (@t193)) % 0.96/1.15 (step @p92 :rule quant-merge-prenex :args ((= (forall @t18 @t195) @t193))) % 0.96/1.15 (step @p93 :rule alpha_equiv :args (@t196 (@list @t180 @t179 @t178) (@list @t1 @t198 @t197))) % 0.96/1.15 (step @p94 :rule refl :args (@t190)) % 0.96/1.15 (step @p95 :rule refl :args (@t14)) % 0.96/1.15 (step @p96 :rule nary_cong :premises (@p95 @p94 @p93) :args (@t199)) % 0.96/1.15 (step @p97 :rule quant-miniscope-or :args ((= @t195 @t199))) % 0.96/1.15 (step @p98 :rule trans :premises (@p97 @p96)) % 0.96/1.15 (step @p99 :rule symm :premises (@p98)) % 0.96/1.15 (step @p100 :rule cong :premises (@p99) :args ((forall @t18 @t210))) % 0.96/1.15 (step @p101 :rule trans :premises (@p100 @p92)) % 0.96/1.15 (step @p102 :rule trans :premises (@p101 @p91)) % 0.96/1.15 (step @p103 :rule aci_norm :args ((= (or @t211 @t209) @t210))) % 0.96/1.15 (step @p104 :rule refl :args (@t209)) % 0.96/1.15 (step @p105 :rule bool-double-not-elim :args (@t14)) % 0.96/1.15 (step @p106 :rule nary_cong :premises (@p105 @p94) :args ((or @t212 @t190))) % 0.96/1.15 (step @p107 :rule bool-and-de-morgan :args (@t15 @t13 true)) % 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(step @p122 :rule quant-miniscope-or :args ((= @t218 @t221))) % 0.96/1.15 (step @p123 :rule trans :premises (@p122 @p121)) % 0.96/1.15 (step @p124 :rule symm :premises (@p123)) % 0.96/1.15 (step @p125 :rule cong :premises (@p124) :args ((forall @t11 @t231))) % 0.96/1.15 (step @p126 :rule trans :premises (@p125 @p117)) % 0.96/1.15 (step @p127 :rule trans :premises (@p126 @p116)) % 0.96/1.15 (step @p128 :rule aci_norm :args ((= (or @t232 @t230) @t231))) % 0.96/1.15 (step @p129 :rule refl :args (@t230)) % 0.96/1.15 (step @p130 :rule bool-double-not-elim :args (@t8)) % 0.96/1.15 (step @p131 :rule nary_cong :premises (@p130 @p119) :args ((or @t233 @t206))) % 0.96/1.15 (step @p132 :rule bool-and-de-morgan :args (@t9 @t4 true)) % 0.96/1.15 (step @p133 :rule trans :premises (@p132 @p131)) % 0.96/1.15 (step @p134 :rule nary_cong :premises (@p133 @p129) :args ((or @t234 @t230))) % 0.96/1.15 (step @p135 :rule trans :premises (@p134 @p128)) % 0.96/1.15 (step @p136 :rule bool-impl-elim :args (@t79 @t230)) % 0.96/1.15 (step @p137 :rule trans :premises (@p136 @p135)) % 0.96/1.15 (step @p138 :rule cong :premises (@p137) :args ((forall @t11 (=> @t79 @t230)))) % 0.96/1.15 (step @p139 :rule trans :premises (@p138 @p127)) % 0.96/1.15 (step @p140 :rule aci_norm :args ((= @t236 @t228))) % 0.96/1.15 (step @p141 :rule cong :premises (@p140) :args (@t237)) % 0.96/1.15 (step @p142 :rule quant-merge-prenex :args ((= (forall @t61 @t239) @t237))) % 0.96/1.15 (step @p143 :rule alpha_equiv :args (@t240 (@list @t220) (@list @t65))) % 0.96/1.15 (step @p144 :rule refl :args (@t225)) % 0.96/1.15 (step @p145 :rule refl :args (@t226)) % 0.96/1.15 (step @p146 :rule refl :args (@t227)) % 0.96/1.15 (step @p147 :rule nary_cong :premises (@p146 @p145 @p144 @p143) :args (@t241)) % 0.96/1.15 (step @p148 :rule quant-miniscope-or :args ((= @t239 @t241))) % 0.96/1.15 (step @p149 :rule trans :premises (@p148 @p147)) % 0.96/1.15 (step @p150 :rule symm :premises (@p149)) % 0.96/1.15 (step @p151 :rule cong :premises (@p150) :args ((forall @t61 @t244))) % 0.96/1.15 (step @p152 :rule trans :premises (@p151 @p142)) % 0.96/1.15 (step @p153 :rule trans :premises (@p152 @p141)) % 0.96/1.15 (step @p154 :rule aci_norm :args ((= (or @t245 @t243) @t244))) % 0.96/1.15 (step @p155 :rule refl :args (@t243)) % 0.96/1.15 (step @p156 :rule aci_norm :args ((= (or @t227 (or @t226 @t225)) @t245))) % 0.96/1.15 (step @p157 :rule bool-and-de-morgan :args (@t57 @t75 true)) % 0.96/1.15 (step @p158 :rule nary_cong :premises (@p146 @p157) :args ((or @t227 (not (and @t57 @t75))))) % 0.96/1.15 (step @p159 :rule bool-and-de-morgan :args (@t58 @t57 (and @t75))) % 0.96/1.15 (step @p160 :rule trans :premises (@p159 @p158)) % 0.96/1.15 (step @p161 :rule trans :premises (@p160 @p156)) % 0.96/1.15 (step @p162 :rule nary_cong :premises (@p161 @p155) :args ((or @t246 @t243))) % 0.96/1.15 (step @p163 :rule trans :premises (@p162 @p154)) % 0.96/1.15 (step @p164 :rule bool-impl-elim :args (@t76 @t243)) % 0.96/1.15 (step @p165 :rule trans :premises (@p164 @p163)) % 0.96/1.15 (step @p166 :rule cong :premises (@p165) :args ((forall @t61 (=> @t76 @t243)))) % 0.96/1.15 (step @p167 :rule trans :premises (@p166 @p153)) % 0.96/1.15 (step @p168 :rule bool-impl-elim :args (@t68 @t67)) % 0.96/1.15 (step @p169 :rule refl :args (@t69)) % 0.96/1.15 (step @p170 :rule cong :premises (@p169 @p168) :args (@t70)) % 0.96/1.15 (step @p171 :rule refl :args (@t242)) % 0.96/1.15 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or @t242 @t70))) % 0.96/1.15 (step @p173 :rule bool-impl-elim :args (@t72 @t70)) % 0.96/1.15 (step @p174 :rule trans :premises (@p173 @p172)) % 0.96/1.15 (step @p175 :rule cong :premises (@p174) :args (@t74)) % 0.96/1.15 (step @p176 :rule refl :args (@t76)) % 0.96/1.15 (step @p177 :rule cong :premises (@p176 @p175) :args (@t77)) % 0.96/1.15 (step @p178 :rule cong :premises (@p177) :args (@t78)) % 0.96/1.15 (step @p179 :rule trans :premises (@p178 @p167)) % 0.96/1.15 (step @p180 :rule refl :args (@t79)) % 0.96/1.15 (step @p181 :rule cong :premises (@p180 @p179) :args (@t80)) % 0.96/1.15 (step @p182 :rule cong :premises (@p181) :args (@t81)) % 0.96/1.15 (step @p183 :rule trans :premises (@p182 @p139)) % 0.96/1.15 (step @p184 :rule refl :args (@t16)) % 0.96/1.15 (step @p185 :rule cong :premises (@p184 @p183) :args (@t82)) % 0.96/1.15 (step @p186 :rule cong :premises (@p185) :args (@t83)) % 0.96/1.15 (step @p187 :rule trans :premises (@p186 @p114)) % 0.96/1.15 (step @p188 :rule eq_resolve :premises (@p26 @p187)) % 0.96/1.15 (step @p189 :rule instantiate :premises (@p188) :args (@t265)) % 0.96/1.15 (step @p190 :rule aci_norm :args ((= @t276 (or @t14 @t190 @t274 @t273 @t272 @t271 @t270 @t268)))) % 0.96/1.15 (step @p191 :rule cong :premises (@p190) :args (@t277)) % 0.96/1.15 (step @p192 :rule quant-merge-prenex :args ((= (forall @t18 @t279) @t277))) % 0.96/1.15 (step @p193 :rule alpha_equiv :args (@t280 (@list @t267 @t266) (@list @t1 @t281))) % 0.96/1.15 (step @p194 :rule nary_cong :premises (@p95 @p94 @p193) :args (@t282)) % 0.96/1.15 (step @p195 :rule quant-miniscope-or :args ((= @t279 @t282))) % 0.96/1.15 (step @p196 :rule trans :premises (@p195 @p194)) % 0.96/1.15 (step @p197 :rule symm :premises (@p196)) % 0.96/1.15 (step @p198 :rule cong :premises (@p197) :args ((forall @t18 @t290))) % 0.96/1.15 (step @p199 :rule trans :premises (@p198 @p192)) % 0.96/1.15 (step @p200 :rule trans :premises (@p199 @p191)) % 0.96/1.15 (step @p201 :rule aci_norm :args ((= (or @t211 @t289) @t290))) % 0.96/1.15 (step @p202 :rule refl :args (@t289)) % 0.96/1.15 (step @p203 :rule nary_cong :premises (@p108 @p202) :args ((or @t213 @t289))) % 0.96/1.15 (step @p204 :rule trans :premises (@p203 @p201)) % 0.96/1.15 (step @p205 :rule bool-impl-elim :args (@t16 @t289)) % 0.96/1.15 (step @p206 :rule trans :premises (@p205 @p204)) % 0.96/1.15 (step @p207 :rule cong :premises (@p206) :args ((forall @t18 (=> @t16 @t289)))) % 0.96/1.15 (step @p208 :rule trans :premises (@p207 @p200)) % 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(step @p223 :rule trans :premises (@p222 @p220)) % 0.96/1.15 (step @p224 :rule bool-impl-elim :args (@t79 @t301)) % 0.96/1.15 (step @p225 :rule trans :premises (@p224 @p223)) % 0.96/1.15 (step @p226 :rule cong :premises (@p225) :args ((forall @t11 (=> @t79 @t301)))) % 0.96/1.15 (step @p227 :rule trans :premises (@p226 @p219)) % 0.96/1.15 (step @p228 :rule aci_norm :args ((= (or @t245 @t299) @t300))) % 0.96/1.15 (step @p229 :rule refl :args (@t299)) % 0.96/1.15 (step @p230 :rule nary_cong :premises (@p161 @p229) :args ((or @t246 @t299))) % 0.96/1.15 (step @p231 :rule trans :premises (@p230 @p228)) % 0.96/1.15 (step @p232 :rule bool-impl-elim :args (@t76 @t299)) % 0.96/1.15 (step @p233 :rule trans :premises (@p232 @p231)) % 0.96/1.15 (step @p234 :rule cong :premises (@p233) :args ((forall @t61 (=> @t76 @t299)))) % 0.96/1.15 (step @p235 :rule bool-impl-elim :args (@t72 @t69)) % 0.96/1.15 (step @p236 :rule cong :premises (@p235) :args (@t84)) % 0.96/1.15 (step @p237 :rule refl :args (@t59)) % 0.96/1.15 (step @p238 :rule cong :premises (@p237 @p236) :args (@t85)) % 0.96/1.15 (step @p239 :rule cong :premises (@p176 @p238) :args (@t86)) % 0.96/1.15 (step @p240 :rule cong :premises (@p239) :args (@t87)) % 0.96/1.15 (step @p241 :rule trans :premises (@p240 @p234)) % 0.96/1.15 (step @p242 :rule cong :premises (@p180 @p241) :args (@t88)) % 0.96/1.15 (step @p243 :rule cong :premises (@p242) :args (@t89)) % 0.96/1.15 (step @p244 :rule trans :premises (@p243 @p227)) % 0.96/1.15 (step @p245 :rule cong :premises (@p184 @p244) :args (@t90)) % 0.96/1.15 (step @p246 :rule cong :premises (@p245) :args (@t91)) % 0.96/1.15 (step @p247 :rule trans :premises (@p246 @p208)) % 0.96/1.15 (step @p248 :rule eq_resolve :premises (@p27 @p247)) % 0.96/1.15 (step @p249 :rule instantiate :premises (@p248) :args ((@list @t259 @t257 @t260))) % 0.96/1.15 (step @p250 :rule aci_norm :args ((= (or (or @t305 @t8 @t304 @t303) @t117) (or @t305 @t8 @t304 @t303 @t117)))) % 0.96/1.15 (step @p251 :rule refl :args (@t117)) % 0.96/1.15 (step @p252 :rule refl :args (@t303)) % 0.96/1.15 (step @p253 :rule refl :args (@t304)) % 0.96/1.15 (step @p254 :rule refl :args (@t305)) % 0.96/1.15 (step @p255 :rule nary_cong :premises (@p254 @p130 @p253 @p252) :args (@t306)) % 0.96/1.15 (step @p256 :rule aci_norm :args ((= (or @t305 (or @t233 (or @t304 @t303))) @t306))) % 0.96/1.15 (step @p257 :rule trans :premises (@p256 @p255)) % 0.96/1.15 (step @p258 :rule bool-and-de-morgan :args (@t96 @t94 true)) % 0.96/1.15 (step @p259 :rule refl :args (@t233)) % 0.96/1.15 (step @p260 :rule nary_cong :premises (@p259 @p258) :args ((or @t233 (not (and @t96 @t94))))) % 0.96/1.15 (step @p261 :rule bool-and-de-morgan :args (@t9 @t96 (and @t94))) % 0.96/1.15 (step @p262 :rule trans :premises (@p261 @p260)) % 0.96/1.15 (step @p263 :rule nary_cong :premises (@p254 @p262) :args ((or @t305 (not (and @t9 @t96 @t94))))) % 0.96/1.15 (step @p264 :rule bool-and-de-morgan :args (@t100 @t9 (and @t96 @t94))) % 0.96/1.15 (step @p265 :rule trans :premises (@p264 @p263)) % 0.96/1.15 (step @p266 :rule trans :premises (@p265 @p257)) % 0.96/1.15 (step @p267 :rule nary_cong :premises (@p266 @p251) :args ((or (not @t118) @t117))) % 0.96/1.15 (step @p268 :rule trans :premises (@p267 @p250)) % 0.96/1.15 (step @p269 :rule bool-impl-elim :args (@t118 @t117)) % 0.96/1.15 (step @p270 :rule trans :premises (@p269 @p268)) % 0.96/1.15 (step @p271 :rule cong :premises (@p270) :args (@t119)) % 0.96/1.15 (step @p272 :rule eq_resolve :premises (@p35 @p271)) % 0.96/1.15 (step @p273 :rule instantiate :premises (@p272) :args (@t307)) % 0.96/1.15 (step @p274 :rule bool-impl-elim :args (@t13 @t121)) % 0.96/1.15 (step @p275 :rule cong :premises (@p274) :args (@t122)) % 0.96/1.15 (step @p276 :rule eq_resolve :premises (@p37 @p275)) % 0.96/1.15 (step @p277 :rule instantiate :premises (@p276) :args (@t308)) % 0.96/1.15 (step @p278 :rule aci_norm :args ((= @t310 @t254))) % 0.96/1.15 (step @p279 :rule cong :premises (@p278) :args (@t311)) 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@p1062 @t444) % 0.96/1.15 (assume-push @p1063 @t486) % 0.96/1.15 (assume-push @p1064 @t474) % 0.96/1.15 (assume-push @p1065 @t390) % 0.96/1.15 (assume-push @p1066 @t462) % 0.96/1.15 (assume-push @p1067 @t424) % 0.96/1.15 (assume-push @p1068 @t437) % 0.96/1.15 (assume-push @p1069 @t474) % 0.96/1.15 (assume-push @p1070 @t534) % 0.96/1.15 (assume-push @p1071 @t513) % 0.96/1.15 (assume-push @p1072 @t486) % 0.96/1.15 (assume-push @p1073 @t390) % 0.96/1.15 (assume-push @p1074 @t444) % 0.96/1.15 (step @p694 :rule symm :premises (@p654)) % 0.96/1.15 (step @p695 :rule refl :args (@t373)) % 0.96/1.15 (step @p696 :rule symm :premises (@p464)) % 0.96/1.15 (step @p697 :rule symm :premises (@p537)) % 0.96/1.15 (step @p698 :rule trans :premises (@p697 @p696)) % 0.96/1.15 (step @p699 :rule cong :premises (@p698 @p695) :args (@t473)) % 0.96/1.15 (step @p937 :rule symm :premises (@p918)) % 0.96/1.15 (step @p839 :rule symm :premises (@p819)) % 0.96/1.15 (step @p840 :rule symm :premises (@p679)) % 0.96/1.15 (step @p579 :rule trans :premises (@p464 @p537)) % 0.96/1.15 (step @p841 :rule cong :premises (@p579 @p695) :args (@t461)) % 0.96/1.15 (step @p842 :rule trans :premises (@p654 @p841 @p840)) % 0.96/1.15 (step @p843 :rule cong :premises (@p842) :args (@t484)) % 0.96/1.15 (step @p844 :rule trans :premises (@p764 @p843 @p839)) % 0.96/1.15 (step @p582 :rule refl :args (@t257)) % 0.96/1.15 (step @p938 :rule cong :premises (@p582 @p844) :args ((tptp.k2_yellow_0 @t257 @t485))) % 0.96/1.15 (step @p846 :rule symm :premises (@p764)) % 0.96/1.15 (step @p847 :rule symm :premises (@p843)) % 0.96/1.15 (step @p939 :rule symm :premises (@p1065)) % 0.96/1.15 (step @p578 :rule refl :args (@t264)) % 0.96/1.15 (step @p580 :rule cong :premises (@p579 @p578) :args (@t443)) % 0.96/1.15 (step @p940 :rule trans :premises (@p565 @p580 @p939 @p847 @p846)) % 0.96/1.15 (step @p941 :rule cong :premises (@p582 @p940) :args (@t376)) % 0.96/1.15 (step @p942 :rule trans :premises (@p941 @p938 @p937 @p679 @p699 @p694)) % 0.96/1.15 (step-pop @p1075 :rule scope :premises (@p942)) % 0.96/1.15 (step-pop @p1076 :rule scope :premises (@p1075)) % 0.96/1.15 (step-pop @p1077 :rule scope :premises (@p1076)) % 0.96/1.15 (step-pop @p1078 :rule scope :premises (@p1077)) % 0.96/1.15 (step-pop @p1079 :rule scope :premises (@p1078)) % 0.96/1.15 (step-pop @p1080 :rule scope :premises (@p1079)) % 0.96/1.15 (step-pop @p1081 :rule scope :premises (@p1080)) % 0.96/1.15 (step-pop @p1082 :rule scope :premises (@p1081)) % 0.96/1.15 (step-pop @p1083 :rule scope :premises (@p1082)) % 0.96/1.15 (step @p943 :rule process_scope :premises (@p1083) :args (@t377)) % 0.96/1.15 (step @p953 :rule and_intro :premises (@p654 @p464 @p537 @p679 @p918 @p819 @p764 @p1065 @p565)) % 0.96/1.15 (step @p954 :rule modus_ponens :premises (@p953 @p943)) % 0.96/1.15 (step-pop @p1084 :rule scope :premises (@p954)) % 0.96/1.15 (step-pop @p1085 :rule scope :premises (@p1084)) % 0.96/1.15 (step-pop @p1086 :rule scope :premises (@p1085)) % 0.96/1.15 (step-pop @p1087 :rule scope :premises (@p1086)) % 0.96/1.15 (step-pop @p1088 :rule scope :premises (@p1087)) % 0.96/1.15 (step-pop @p1089 :rule scope :premises (@p1088)) % 0.96/1.15 (step-pop @p1090 :rule scope :premises (@p1089)) % 0.96/1.15 (step-pop @p1091 :rule scope :premises (@p1090)) % 0.96/1.15 (step-pop @p1092 :rule scope :premises (@p1091)) % 0.96/1.15 (step @p955 :rule process_scope :premises (@p1092) :args (@t377)) % 0.96/1.15 (step @p965 :rule implies_elim :premises (@p955)) % 0.96/1.15 (step @p966 :rule cnf_and_neg :args (@t537)) % 0.96/1.15 (step @p967 :rule resolution :premises (@p966 @p965) :args (true @t537)) % 0.96/1.15 (step @p968 :rule reordering :premises (@p967) :args ((or @t451 @t377 @t450 @t518 (not @t534) @t479 @t449 @t517 @t478 @t516))) % 0.96/1.15 (step @p969 :rule chain_m_resolution :premises (@p968 @p464 @p537 @p819 @p918 @p654 @p565 @p764 @p679 @p731) :args (@t377 @t519 (@list @t424 @t437 @t513 @t534 @t462 @t444 @t486 @t474 @t390))) % 0.96/1.15 (step @p970 false :rule chain_m_resolution :premises (@p727 @p969 @p879 @p395) :args (false (@list false false true) (@list @t377 @t378 @t379))) % 0.96/1.15 ) % 0.96/1.15 % SZS output end Proof % 0.96/1.15 % cvc5 exiting %------------------------------------------------------------------------------