%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT374+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 : n014.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 08:30:33 AM UTC 2026 % Result : Theorem 7.53s 7.72s % Output : Proof 7.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT374+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 % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 06:56:43 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 7.53/7.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 7.53/7.72 % SZS status Theorem % 7.53/7.72 % SZS output start Proof % 7.53/7.72 ( % 7.53/7.72 (declare-sort $$unsorted 0) % 7.53/7.72 (declare-const tptp.r1_altcat_2 (-> $$unsorted $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.l1_altcat_1 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.m1_pboole (-> $$unsorted $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.k3_altcat_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 7.53/7.72 (declare-const tptp.k2_altcat_1 (-> $$unsorted $$unsorted $$unsorted)) % 7.53/7.72 (declare-const tptp.k1_xboole_0 $$unsorted) % 7.53/7.72 (declare-const tptp.k2_waybel34 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 7.53/7.72 (declare-const tptp.k5_yellow21 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 7.53/7.72 (declare-const tptp.k5_waybel34 (-> $$unsorted $$unsorted)) % 7.53/7.72 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.r2_altcat_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.k3_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 7.53/7.72 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.l2_altcat_1 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v22_waybel_0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v6_altcat_1 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v2_altcat_1 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v3_yellow21 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.g2_altcat_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 7.53/7.72 (declare-const tptp.m1_altcat_2 (-> $$unsorted $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v5_orders_3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.u1_altcat_1 (-> $$unsorted $$unsorted)) % 7.53/7.72 (declare-const tptp.v11_altcat_1 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v25_waybel_0 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.u2_altcat_1 (-> $$unsorted $$unsorted)) % 7.53/7.72 (declare-const tptp.v12_altcat_1 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.u1_orders_2 (-> $$unsorted $$unsorted)) % 7.53/7.72 (declare-const tptp.v4_orders_2 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.g1_orders_2 (-> $$unsorted $$unsorted $$unsorted)) % 7.53/7.72 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 7.53/7.72 (declare-const tptp.v1_yellow_0 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v24_waybel_0 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v2_orders_2 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v3_lattice3 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v2_setfam_1 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v2_lattice3 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v1_orders_2 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.k9_waybel34 (-> $$unsorted $$unsorted)) % 7.53/7.72 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.l1_orders_2 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.k1_altcat_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 7.53/7.72 (declare-const tptp.v2_yellow_0 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v1_lattice3 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v3_orders_2 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.k1_yellow21 (-> $$unsorted $$unsorted)) % 7.53/7.72 (declare-const tptp.v2_yellow21 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v1_yellow21 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v4_yellow18 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v3_yellow18 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v3_altcat_2 (-> $$unsorted $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.m3_pboole (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v9_altcat_1 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.k3_yellow21 (-> $$unsorted $$unsorted $$unsorted)) % 7.53/7.72 (declare-const tptp.v3_yellow_0 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v2_yellow18 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 7.53/7.72 (declare-const tptp.v1_altcat_2 (-> $$unsorted Bool)) % 7.53/7.72 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 7.53/7.72 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 7.53/7.72 (define @t1 () (@var "A" $$unsorted)) % 7.53/7.72 (define @t2 () (@var "B" $$unsorted)) % 7.53/7.72 (define @t3 () (tptp.u1_struct_0 @t2)) % 7.53/7.72 (define @t4 () (and (tptp.v1_orders_2 @t2) (tptp.v3_lattice3 @t2) (tptp.r2_hidden @t3 @t1))) % 7.53/7.72 (define @t5 () (tptp.k9_waybel34 @t1)) % 7.53/7.72 (define @t6 () (tptp.u1_struct_0 @t5)) % 7.53/7.72 (define @t7 () (= (tptp.m1_subset_1 @t2 @t6) @t4)) % 7.53/7.72 (define @t8 () (tptp.l1_orders_2 @t2)) % 7.53/7.72 (define @t9 () (tptp.v2_lattice3 @t2)) % 7.53/7.72 (define @t10 () (tptp.v1_lattice3 @t2)) % 7.53/7.72 (define @t11 () (tptp.v4_orders_2 @t2)) % 7.53/7.72 (define @t12 () (tptp.v3_orders_2 @t2)) % 7.53/7.72 (define @t13 () (tptp.v2_orders_2 @t2)) % 7.53/7.72 (define @t14 () (and @t13 @t12 @t11 @t10 @t9 @t8)) % 7.53/7.72 (define @t15 () (@list @t2)) % 7.53/7.72 (define @t16 () (forall @t15 (=> @t14 @t7))) % 7.53/7.72 (define @t17 () (tptp.v2_setfam_1 @t1)) % 7.53/7.72 (define @t18 () (not @t17)) % 7.53/7.72 (define @t19 () (=> @t18 @t16)) % 7.53/7.72 (define @t20 () (@list @t1)) % 7.53/7.72 (define @t21 () (forall @t20 @t19)) % 7.53/7.72 (define @t22 () (not @t21)) % 7.53/7.72 (define @t23 () (tptp.u1_orders_2 @t1)) % 7.53/7.72 (define @t24 () (tptp.u1_struct_0 @t1)) % 7.53/7.72 (define @t25 () (tptp.g1_orders_2 @t24 @t23)) % 7.53/7.72 (define @t26 () (tptp.v1_orders_2 @t1)) % 7.53/7.72 (define @t27 () (tptp.l1_orders_2 @t1)) % 7.53/7.72 (define @t28 () (tptp.u2_altcat_1 @t1)) % 7.53/7.72 (define @t29 () (tptp.u1_altcat_1 @t1)) % 7.53/7.72 (define @t30 () (tptp.v6_altcat_1 @t1)) % 7.53/7.72 (define @t31 () (tptp.l2_altcat_1 @t1)) % 7.53/7.72 (define @t32 () (tptp.r2_hidden @t1 @t2)) % 7.53/7.72 (define @t33 () (@list @t1 @t2)) % 7.53/7.72 (define @t34 () (tptp.v1_xcmplx_0 @t2)) % 7.53/7.72 (define @t35 () (tptp.m1_subset_1 @t2 @t1)) % 7.53/7.72 (define @t36 () (tptp.v1_membered @t1)) % 7.53/7.72 (define @t37 () (tptp.v25_waybel_0 @t1)) % 7.53/7.72 (define @t38 () (tptp.v24_waybel_0 @t1)) % 7.53/7.72 (define @t39 () (tptp.v2_orders_2 @t1)) % 7.53/7.72 (define @t40 () (tptp.v3_struct_0 @t1)) % 7.53/7.72 (define @t41 () (not @t40)) % 7.53/7.72 (define @t42 () (tptp.v3_lattice3 @t1)) % 7.53/7.72 (define @t43 () (tptp.v1_xreal_0 @t2)) % 7.53/7.72 (define @t44 () (tptp.v2_membered @t1)) % 7.53/7.72 (define @t45 () (tptp.v1_yellow_0 @t1)) % 7.53/7.72 (define @t46 () (tptp.v2_yellow21 @t2)) % 7.53/7.72 (define @t47 () (tptp.v1_yellow21 @t2)) % 7.53/7.72 (define @t48 () (tptp.v4_yellow18 @t2)) % 7.53/7.72 (define @t49 () (tptp.v3_yellow18 @t2)) % 7.53/7.72 (define @t50 () (tptp.v2_yellow18 @t2)) % 7.53/7.72 (define @t51 () (tptp.v3_altcat_2 @t2 @t1)) % 7.53/7.72 (define @t52 () (tptp.v1_altcat_2 @t2)) % 7.53/7.72 (define @t53 () (tptp.v12_altcat_1 @t2)) % 7.53/7.72 (define @t54 () (tptp.v11_altcat_1 @t2)) % 7.53/7.72 (define @t55 () (tptp.v9_altcat_1 @t2)) % 7.53/7.72 (define @t56 () (tptp.v2_altcat_1 @t2)) % 7.53/7.72 (define @t57 () (tptp.v3_struct_0 @t2)) % 7.53/7.72 (define @t58 () (not @t57)) % 7.53/7.72 (define @t59 () (and @t58 @t56 @t51)) % 7.53/7.72 (define @t60 () (tptp.m1_altcat_2 @t2 @t1)) % 7.53/7.72 (define @t61 () (tptp.v3_yellow21 @t1)) % 7.53/7.72 (define @t62 () (tptp.v12_altcat_1 @t1)) % 7.53/7.72 (define @t63 () (tptp.v11_altcat_1 @t1)) % 7.53/7.72 (define @t64 () (tptp.v2_altcat_1 @t1)) % 7.53/7.72 (define @t65 () (tptp.v1_rat_1 @t2)) % 7.53/7.72 (define @t66 () (tptp.v3_membered @t1)) % 7.53/7.72 (define @t67 () (tptp.v3_yellow_0 @t1)) % 7.53/7.72 (define @t68 () (tptp.v2_yellow_0 @t1)) % 7.53/7.72 (define @t69 () (tptp.v2_lattice3 @t1)) % 7.53/7.72 (define @t70 () (tptp.v1_lattice3 @t1)) % 7.53/7.72 (define @t71 () (tptp.v4_orders_2 @t1)) % 7.53/7.72 (define @t72 () (tptp.v3_orders_2 @t1)) % 7.53/7.72 (define @t73 () (tptp.v1_int_1 @t2)) % 7.53/7.72 (define @t74 () (tptp.v4_membered @t1)) % 7.53/7.72 (define @t75 () (tptp.v5_membered @t1)) % 7.53/7.72 (define @t76 () (tptp.v1_xboole_0 @t1)) % 7.53/7.72 (define @t77 () (tptp.v1_membered @t2)) % 7.53/7.72 (define @t78 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1))) % 7.53/7.72 (define @t79 () (tptp.v2_membered @t2)) % 7.53/7.72 (define @t80 () (tptp.v3_membered @t2)) % 7.53/7.72 (define @t81 () (tptp.v4_membered @t2)) % 7.53/7.72 (define @t82 () (tptp.v1_finset_1 @t1)) % 7.53/7.72 (define @t83 () (tptp.v1_funct_1 @t1)) % 7.53/7.72 (define @t84 () (@var "C" $$unsorted)) % 7.53/7.72 (define @t85 () (tptp.v1_relat_1 @t84)) % 7.53/7.72 (define @t86 () (tptp.k2_zfmisc_1 @t1 @t2)) % 7.53/7.72 (define @t87 () (tptp.m1_subset_1 @t84 (tptp.k1_zfmisc_1 @t86))) % 7.53/7.72 (define @t88 () (@list @t1 @t2 @t84)) % 7.53/7.72 (define @t89 () (tptp.v1_partfun1 @t84 @t24 @t3)) % 7.53/7.72 (define @t90 () (tptp.v5_orders_3 @t84 @t1 @t2)) % 7.53/7.72 (define @t91 () (tptp.v1_funct_2 @t84 @t24 @t3)) % 7.53/7.72 (define @t92 () (tptp.v1_funct_1 @t84)) % 7.53/7.72 (define @t93 () (tptp.v1_xboole_0 @t84)) % 7.53/7.72 (define @t94 () (tptp.m1_relset_1 @t84 @t24 @t3)) % 7.53/7.72 (define @t95 () (@list @t84)) % 7.53/7.72 (define @t96 () (tptp.v2_yellow21 @t1)) % 7.53/7.72 (define @t97 () (tptp.v1_altcat_2 @t1)) % 7.53/7.72 (define @t98 () (and @t41 @t42)) % 7.53/7.72 (define @t99 () (tptp.v1_finset_1 @t2)) % 7.53/7.72 (define @t100 () (tptp.v1_relat_1 @t1)) % 7.53/7.72 (define @t101 () (and @t100 @t83 (tptp.v2_funct_1 @t1))) % 7.53/7.72 (define @t102 () (and @t100 @t76 @t83)) % 7.53/7.72 (define @t103 () (not @t76)) % 7.53/7.72 (define @t104 () (forall @t20 (=> @t18 @t103))) % 7.53/7.72 (define @t105 () (tptp.v1_yellow21 @t1)) % 7.53/7.72 (define @t106 () (tptp.v4_yellow18 @t1)) % 7.53/7.72 (define @t107 () (tptp.v3_yellow18 @t1)) % 7.53/7.72 (define @t108 () (tptp.v2_yellow18 @t1)) % 7.53/7.72 (define @t109 () (tptp.v9_altcat_1 @t1)) % 7.53/7.72 (define @t110 () (and @t45 @t68)) % 7.53/7.72 (define @t111 () (and @t41 @t64 @t63 @t62 @t96 @t31)) % 7.53/7.72 (define @t112 () (tptp.k3_zfmisc_1 @t24 @t24 @t24)) % 7.53/7.72 (define @t113 () (tptp.k2_zfmisc_1 @t24 @t24)) % 7.53/7.72 (define @t114 () (= @t60 (and (tptp.r1_tarski @t3 @t24) (tptp.r2_altcat_2 (tptp.k2_zfmisc_1 @t3 @t3) @t113 (tptp.u1_altcat_1 @t2) @t29) (tptp.r2_altcat_2 (tptp.k3_zfmisc_1 @t3 @t3 @t3) @t112 (tptp.u2_altcat_1 @t2) @t28)))) % 7.53/7.72 (define @t115 () (tptp.l2_altcat_1 @t2)) % 7.53/7.72 (define @t116 () (forall @t15 (=> @t115 @t114))) % 7.53/7.72 (define @t117 () (=> @t31 @t116)) % 7.53/7.72 (define @t118 () (forall @t20 @t117)) % 7.53/7.72 (define @t119 () (tptp.k5_waybel34 @t1)) % 7.53/7.72 (define @t120 () (tptp.k3_yellow21 @t119 @t84)) % 7.53/7.72 (define @t121 () (@var "D" $$unsorted)) % 7.53/7.72 (define @t122 () (tptp.k3_yellow21 @t119 @t121)) % 7.53/7.72 (define @t123 () (@var "G" $$unsorted)) % 7.53/7.72 (define @t124 () (@var "F" $$unsorted)) % 7.53/7.72 (define @t125 () (@var "E" $$unsorted)) % 7.53/7.72 (define @t126 () (tptp.k1_altcat_1 @t2 @t125 @t124)) % 7.53/7.72 (define @t127 () (= (tptp.r2_hidden @t123 @t126) (tptp.v22_waybel_0 (tptp.k2_waybel34 @t122 @t120 (tptp.k5_yellow21 @t119 @t84 @t121 @t123)) @t122 @t120))) % 7.53/7.72 (define @t128 () (tptp.k1_altcat_1 @t119 @t84 @t121)) % 7.53/7.72 (define @t129 () (tptp.m1_subset_1 @t123 @t128)) % 7.53/7.72 (define @t130 () (@list @t123)) % 7.53/7.72 (define @t131 () (forall @t130 (=> @t129 @t127))) % 7.53/7.72 (define @t132 () (or (= @t128 tptp.k1_xboole_0) @t131)) % 7.53/7.72 (define @t133 () (= @t124 @t121)) % 7.53/7.72 (define @t134 () (= @t125 @t84)) % 7.53/7.72 (define @t135 () (and @t134 @t133)) % 7.53/7.72 (define @t136 () (=> @t135 @t132)) % 7.53/7.72 (define @t137 () (tptp.m1_subset_1 @t124 @t3)) % 7.53/7.72 (define @t138 () (=> @t137 @t136)) % 7.53/7.72 (define @t139 () (@list @t124)) % 7.53/7.72 (define @t140 () (forall @t139 @t138)) % 7.53/7.72 (define @t141 () (tptp.m1_subset_1 @t125 @t3)) % 7.53/7.72 (define @t142 () (=> @t141 @t140)) % 7.53/7.72 (define @t143 () (@list @t125)) % 7.53/7.72 (define @t144 () (forall @t143 @t142)) % 7.53/7.72 (define @t145 () (tptp.u1_struct_0 @t119)) % 7.53/7.72 (define @t146 () (tptp.m1_subset_1 @t121 @t145)) % 7.53/7.72 (define @t147 () (=> @t146 @t144)) % 7.53/7.72 (define @t148 () (@list @t121)) % 7.53/7.72 (define @t149 () (forall @t148 @t147)) % 7.53/7.72 (define @t150 () (tptp.m1_subset_1 @t84 @t145)) % 7.53/7.72 (define @t151 () (=> @t150 @t149)) % 7.53/7.72 (define @t152 () (forall @t95 @t151)) % 7.53/7.72 (define @t153 () (tptp.m1_subset_1 @t84 @t3)) % 7.53/7.72 (define @t154 () (forall @t95 (=> @t150 @t153))) % 7.53/7.72 (define @t155 () (and @t154 @t152)) % 7.53/7.72 (define @t156 () (= @t2 @t5)) % 7.53/7.72 (define @t157 () (= @t156 @t155)) % 7.53/7.72 (define @t158 () (tptp.m1_altcat_2 @t2 @t119)) % 7.53/7.72 (define @t159 () (tptp.v3_altcat_2 @t2 @t119)) % 7.53/7.72 (define @t160 () (tptp.v6_altcat_1 @t2)) % 7.53/7.72 (define @t161 () (and @t58 @t56 @t160 @t159 @t158)) % 7.53/7.72 (define @t162 () (=> @t161 @t157)) % 7.53/7.72 (define @t163 () (forall @t15 @t162)) % 7.53/7.72 (define @t164 () (=> @t18 @t163)) % 7.53/7.72 (define @t165 () (forall @t20 @t164)) % 7.53/7.72 (define @t166 () (tptp.k3_yellow21 @t1 @t2)) % 7.53/7.72 (define @t167 () (tptp.m1_subset_1 @t2 @t24)) % 7.53/7.72 (define @t168 () (tptp.g1_orders_2 @t1 @t2)) % 7.53/7.72 (define @t169 () (tptp.m1_relset_1 @t2 @t1 @t1)) % 7.53/7.72 (define @t170 () (tptp.g2_altcat_1 @t1 @t2 @t84)) % 7.53/7.72 (define @t171 () (tptp.k2_altcat_1 @t1 @t2)) % 7.53/7.72 (define @t172 () (tptp.k3_zfmisc_1 @t1 @t1 @t1)) % 7.53/7.72 (define @t173 () (tptp.k2_zfmisc_1 @t1 @t1)) % 7.53/7.72 (define @t174 () (tptp.m1_pboole @t2 @t173)) % 7.53/7.72 (define @t175 () (and @t174 (tptp.m3_pboole @t84 @t172 (tptp.k3_altcat_1 @t1 @t2 @t2) @t171))) % 7.53/7.72 (define @t176 () (tptp.k2_waybel34 @t1 @t2 @t84)) % 7.53/7.72 (define @t177 () (and @t41 @t64 @t63 @t62 @t96 @t31 @t167)) % 7.53/7.72 (define @t178 () (tptp.v2_yellow21 @t119)) % 7.53/7.72 (define @t179 () (tptp.v12_altcat_1 @t119)) % 7.53/7.72 (define @t180 () (tptp.v11_altcat_1 @t119)) % 7.53/7.72 (define @t181 () (tptp.v6_altcat_1 @t119)) % 7.53/7.72 (define @t182 () (tptp.v2_altcat_1 @t119)) % 7.53/7.72 (define @t183 () (not (tptp.v3_struct_0 @t119))) % 7.53/7.72 (define @t184 () (and @t183 @t182 @t181 @t180 @t179 @t178 (tptp.l2_altcat_1 @t119))) % 7.53/7.72 (define @t185 () (forall @t20 (=> @t103 @t184))) % 7.53/7.72 (define @t186 () (tptp.k3_yellow21 @t1 @t84)) % 7.53/7.72 (define @t187 () (tptp.u1_struct_0 @t186)) % 7.53/7.72 (define @t188 () (tptp.u1_struct_0 @t166)) % 7.53/7.72 (define @t189 () (tptp.k5_yellow21 @t1 @t2 @t84 @t121)) % 7.53/7.72 (define @t190 () (@list @t1 @t2 @t84 @t121)) % 7.53/7.72 (define @t191 () (and (not (tptp.v3_struct_0 @t5)) (tptp.v2_altcat_1 @t5) (tptp.v6_altcat_1 @t5) (tptp.v3_altcat_2 @t5 @t119) (tptp.m1_altcat_2 @t5 @t119))) % 7.53/7.72 (define @t192 () (forall @t20 (=> @t18 @t191))) % 7.53/7.72 (define @t193 () (tptp.l1_struct_0 @t1)) % 7.53/7.72 (define @t194 () (tptp.l1_altcat_1 @t1)) % 7.53/7.72 (define @t195 () (forall @t20 (=> @t194 @t193))) % 7.53/7.72 (define @t196 () (forall @t20 (=> @t31 @t194))) % 7.53/7.72 (define @t197 () (forall @t15 (=> @t60 @t115))) % 7.53/7.72 (define @t198 () (=> @t31 @t197)) % 7.53/7.72 (define @t199 () (forall @t20 @t198)) % 7.53/7.72 (define @t200 () (tptp.v1_funct_1 @t2)) % 7.53/7.72 (define @t201 () (tptp.v1_relat_1 @t2)) % 7.53/7.72 (define @t202 () (tptp.m1_pboole @t2 @t1)) % 7.53/7.72 (define @t203 () (tptp.m2_relset_1 @t84 @t1 @t2)) % 7.53/7.72 (define @t204 () (tptp.m3_pboole @t121 @t1 @t2 @t84)) % 7.53/7.72 (define @t205 () (tptp.m1_pboole @t84 @t1)) % 7.53/7.72 (define @t206 () (and @t202 @t205)) % 7.53/7.72 (define @t207 () (tptp.m1_relset_1 @t84 @t1 @t2)) % 7.53/7.72 (define @t208 () (tptp.v2_orders_2 @t25)) % 7.53/7.72 (define @t209 () (tptp.v1_orders_2 @t25)) % 7.53/7.72 (define @t210 () (not (tptp.v3_struct_0 @t25))) % 7.53/7.72 (define @t211 () (not (tptp.v1_xboole_0 @t24))) % 7.53/7.72 (define @t212 () (and @t41 @t193)) % 7.53/7.72 (define @t213 () (forall @t20 (=> @t212 @t211))) % 7.53/7.72 (define @t214 () (tptp.v1_xboole_0 @t2)) % 7.53/7.72 (define @t215 () (not @t214)) % 7.53/7.72 (define @t216 () (and @t205 (tptp.m1_pboole @t121 @t2))) % 7.53/7.72 (define @t217 () (tptp.m1_subset_1 @t2 @t145)) % 7.53/7.72 (define @t218 () (=> @t14 (= @t217 @t4))) % 7.53/7.72 (define @t219 () (forall @t15 @t218)) % 7.53/7.72 (define @t220 () (=> @t18 @t219)) % 7.53/7.72 (define @t221 () (forall @t20 @t220)) % 7.53/7.72 (define @t222 () (tptp.m1_subset_1 @t1 @t2)) % 7.53/7.72 (define @t223 () (or @t214 @t32)) % 7.53/7.72 (define @t224 () (forall @t33 (=> @t222 @t223))) % 7.53/7.72 (define @t225 () (forall @t33 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t2)) (tptp.r1_tarski @t1 @t2)))) % 7.53/7.72 (define @t226 () (tptp.m1_subset_1 @t1 @t84)) % 7.53/7.72 (define @t227 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t84))) % 7.53/7.72 (define @t228 () (and @t32 @t227)) % 7.53/7.72 (define @t229 () (forall @t88 (=> @t228 @t226))) % 7.53/7.72 (define @t230 () (not @t227)) % 7.53/7.72 (define @t231 () (not @t32)) % 7.53/7.72 (define @t232 () (or @t231 @t230 @t226)) % 7.53/7.72 (define @t233 () (@var "BOUND_VARIABLE_8263" $$unsorted)) % 7.53/7.72 (define @t234 () (= (tptp.m1_subset_1 @t233 @t6) (and (tptp.v1_orders_2 @t233) (tptp.v3_lattice3 @t233) (tptp.r2_hidden (tptp.u1_struct_0 @t233) @t1)))) % 7.53/7.72 (define @t235 () (not (tptp.l1_orders_2 @t233))) % 7.53/7.72 (define @t236 () (not (tptp.v2_lattice3 @t233))) % 7.53/7.72 (define @t237 () (not (tptp.v1_lattice3 @t233))) % 7.53/7.72 (define @t238 () (not (tptp.v4_orders_2 @t233))) % 7.53/7.72 (define @t239 () (not (tptp.v3_orders_2 @t233))) % 7.53/7.72 (define @t240 () (not (tptp.v2_orders_2 @t233))) % 7.53/7.72 (define @t241 () (or @t17 @t240 @t239 @t238 @t237 @t236 @t235 @t234)) % 7.53/7.72 (define @t242 () (@list @t1 @t233)) % 7.53/7.72 (define @t243 () (forall @t242 @t241)) % 7.53/7.72 (define @t244 () (@quantifiers_skolemize @t243 0)) % 7.53/7.72 (define @t245 () (tptp.k5_waybel34 @t244)) % 7.53/7.72 (define @t246 () (tptp.u1_struct_0 @t245)) % 7.53/7.72 (define @t247 () (tptp.k9_waybel34 @t244)) % 7.53/7.72 (define @t248 () (tptp.u1_struct_0 @t247)) % 7.53/7.72 (define @t249 () (tptp.m1_subset_1 @t248 (tptp.k1_zfmisc_1 @t246))) % 7.53/7.72 (define @t250 () (tptp.r1_tarski @t248 @t246)) % 7.53/7.72 (define @t251 () (= @t249 @t250)) % 7.53/7.72 (define @t252 () (= @t250 @t249)) % 7.53/7.72 (define @t253 () (@list false)) % 7.53/7.72 (define @t254 () (@var "BOUND_VARIABLE_8929" $$unsorted)) % 7.53/7.72 (define @t255 () (tptp.u1_struct_0 @t254)) % 7.53/7.72 (define @t256 () (= (tptp.m1_altcat_2 @t254 @t1) (and (tptp.r1_tarski @t255 @t24) (tptp.r2_altcat_2 (tptp.k2_zfmisc_1 @t255 @t255) @t113 (tptp.u1_altcat_1 @t254) @t29) (tptp.r2_altcat_2 (tptp.k3_zfmisc_1 @t255 @t255 @t255) @t112 (tptp.u2_altcat_1 @t254) @t28)))) % 7.53/7.72 (define @t257 () (not (tptp.l2_altcat_1 @t254))) % 7.53/7.72 (define @t258 () (not @t31)) % 7.53/7.72 (define @t259 () (or @t257 @t256)) % 7.53/7.72 (define @t260 () (or @t258 @t259)) % 7.53/7.72 (define @t261 () (forall (@list @t1 @t254) @t260)) % 7.53/7.72 (define @t262 () (@list @t254)) % 7.53/7.72 (define @t263 () (forall @t262 @t260)) % 7.53/7.72 (define @t264 () (forall @t262 @t259)) % 7.53/7.72 (define @t265 () (@list @t2)) % 7.53/7.72 (define @t266 () (or @t258 @t264)) % 7.53/7.72 (define @t267 () (forall @t15 (or (not @t115) @t114))) % 7.53/7.72 (define @t268 () (@list @t245 @t247)) % 7.53/7.72 (define @t269 () (@list @t244)) % 7.53/7.72 (define @t270 () (not @t18)) % 7.53/7.72 (define @t271 () (or @t240 @t239 @t238 @t237 @t236 @t235 @t234)) % 7.53/7.72 (define @t272 () (or @t17 @t271)) % 7.53/7.72 (define @t273 () (forall @t242 @t272)) % 7.53/7.72 (define @t274 () (@list @t233)) % 7.53/7.72 (define @t275 () (forall @t274 @t272)) % 7.53/7.72 (define @t276 () (forall @t274 @t271)) % 7.53/7.72 (define @t277 () (or @t17 @t276)) % 7.53/7.72 (define @t278 () (not @t8)) % 7.53/7.72 (define @t279 () (not @t9)) % 7.53/7.72 (define @t280 () (not @t10)) % 7.53/7.72 (define @t281 () (not @t11)) % 7.53/7.72 (define @t282 () (not @t12)) % 7.53/7.72 (define @t283 () (not @t13)) % 7.53/7.72 (define @t284 () (or @t283 @t282 @t281 @t280 @t279 @t278 @t7)) % 7.53/7.72 (define @t285 () (forall @t15 @t284)) % 7.53/7.72 (define @t286 () (or @t283 @t282 @t281 @t280 @t279 @t278)) % 7.53/7.72 (define @t287 () (not @t14)) % 7.53/7.72 (define @t288 () (@quantifiers_skolemize @t243 1)) % 7.53/7.72 (define @t289 () (and (tptp.v1_orders_2 @t288) (tptp.v3_lattice3 @t288) (tptp.r2_hidden (tptp.u1_struct_0 @t288) @t244))) % 7.53/7.72 (define @t290 () (tptp.m1_subset_1 @t288 @t248)) % 7.53/7.72 (define @t291 () (= @t290 @t289)) % 7.53/7.72 (define @t292 () (tptp.l1_orders_2 @t288)) % 7.53/7.72 (define @t293 () (not @t292)) % 7.53/7.72 (define @t294 () (tptp.v2_lattice3 @t288)) % 7.53/7.72 (define @t295 () (not @t294)) % 7.53/7.72 (define @t296 () (tptp.v1_lattice3 @t288)) % 7.53/7.72 (define @t297 () (not @t296)) % 7.53/7.72 (define @t298 () (tptp.v4_orders_2 @t288)) % 7.53/7.72 (define @t299 () (not @t298)) % 7.53/7.72 (define @t300 () (tptp.v3_orders_2 @t288)) % 7.53/7.72 (define @t301 () (not @t300)) % 7.53/7.72 (define @t302 () (tptp.v2_orders_2 @t288)) % 7.53/7.72 (define @t303 () (not @t302)) % 7.53/7.72 (define @t304 () (tptp.v2_setfam_1 @t244)) % 7.53/7.72 (define @t305 () (or @t304 @t303 @t301 @t299 @t297 @t295 @t293 @t291)) % 7.53/7.72 (define @t306 () (@list true)) % 7.53/7.72 (define @t307 () (@list @t305)) % 7.53/7.72 (define @t308 () (tptp.v1_xboole_0 @t244)) % 7.53/7.72 (define @t309 () (not @t308)) % 7.53/7.72 (define @t310 () (or @t304 @t309)) % 7.53/7.72 (define @t311 () (@list true false)) % 7.53/7.72 (define @t312 () (tptp.l2_altcat_1 @t245)) % 7.53/7.72 (define @t313 () (and (not (tptp.v3_struct_0 @t245)) (tptp.v2_altcat_1 @t245) (tptp.v6_altcat_1 @t245) (tptp.v11_altcat_1 @t245) (tptp.v12_altcat_1 @t245) (tptp.v2_yellow21 @t245) @t312)) % 7.53/7.72 (define @t314 () (or @t308 @t313)) % 7.53/7.72 (define @t315 () (@var "BOUND_VARIABLE_9239" $$unsorted)) % 7.53/7.72 (define @t316 () (tptp.l2_altcat_1 @t315)) % 7.53/7.72 (define @t317 () (not (tptp.m1_altcat_2 @t315 @t1))) % 7.53/7.72 (define @t318 () (or @t317 @t316)) % 7.53/7.72 (define @t319 () (or @t258 @t318)) % 7.53/7.72 (define @t320 () (forall (@list @t1 @t315) @t319)) % 7.53/7.72 (define @t321 () (@list @t315)) % 7.53/7.72 (define @t322 () (forall @t321 @t319)) % 7.53/7.72 (define @t323 () (forall @t321 @t318)) % 7.53/7.72 (define @t324 () (or @t258 @t323)) % 7.53/7.72 (define @t325 () (forall @t15 (or (not @t60) @t115))) % 7.53/7.72 (define @t326 () (tptp.m1_altcat_2 @t247 @t245)) % 7.53/7.72 (define @t327 () (tptp.v3_altcat_2 @t247 @t245)) % 7.53/7.72 (define @t328 () (tptp.v6_altcat_1 @t247)) % 7.53/7.72 (define @t329 () (tptp.v2_altcat_1 @t247)) % 7.53/7.72 (define @t330 () (tptp.v3_struct_0 @t247)) % 7.53/7.72 (define @t331 () (not @t330)) % 7.53/7.72 (define @t332 () (and @t331 @t329 @t328 @t327 @t326)) % 7.53/7.72 (define @t333 () (or @t304 @t332)) % 7.53/7.72 (define @t334 () (not @t332)) % 7.53/7.72 (define @t335 () (@list @t332)) % 7.53/7.72 (define @t336 () (tptp.l2_altcat_1 @t247)) % 7.53/7.72 (define @t337 () (not @t326)) % 7.53/7.72 (define @t338 () (not @t312)) % 7.53/7.72 (define @t339 () (or @t338 @t337 @t336)) % 7.53/7.72 (define @t340 () (@list false false false)) % 7.53/7.72 (define @t341 () (and @t250 (tptp.r2_altcat_2 (tptp.k2_zfmisc_1 @t248 @t248) (tptp.k2_zfmisc_1 @t246 @t246) (tptp.u1_altcat_1 @t247) (tptp.u1_altcat_1 @t245)) (tptp.r2_altcat_2 (tptp.k3_zfmisc_1 @t248 @t248 @t248) (tptp.k3_zfmisc_1 @t246 @t246 @t246) (tptp.u2_altcat_1 @t247) (tptp.u2_altcat_1 @t245)))) % 7.53/7.72 (define @t342 () (= @t326 @t341)) % 7.53/7.72 (define @t343 () (not @t336)) % 7.53/7.72 (define @t344 () (or @t338 @t343 @t342)) % 7.53/7.72 (define @t345 () (@list false false)) % 7.53/7.72 (define @t346 () (not @t222)) % 7.53/7.72 (define @t347 () (not @t193)) % 7.53/7.72 (define @t348 () (@list @t247)) % 7.53/7.72 (define @t349 () (tptp.l1_altcat_1 @t247)) % 7.53/7.72 (define @t350 () (or @t343 @t349)) % 7.53/7.72 (define @t351 () (tptp.l1_struct_0 @t247)) % 7.53/7.72 (define @t352 () (not @t349)) % 7.53/7.72 (define @t353 () (or @t352 @t351)) % 7.53/7.72 (define @t354 () (tptp.v1_xboole_0 @t248)) % 7.53/7.72 (define @t355 () (not @t354)) % 7.53/7.72 (define @t356 () (not @t351)) % 7.53/7.72 (define @t357 () (or @t330 @t356 @t355)) % 7.53/7.72 (define @t358 () (@list true false false)) % 7.53/7.72 (define @t359 () (@var "BOUND_VARIABLE_9118" $$unsorted)) % 7.53/7.72 (define @t360 () (@var "BOUND_VARIABLE_9078" $$unsorted)) % 7.53/7.72 (define @t361 () (@var "BOUND_VARIABLE_9080" $$unsorted)) % 7.53/7.72 (define @t362 () (tptp.k3_yellow21 @t119 @t360)) % 7.53/7.72 (define @t363 () (tptp.v22_waybel_0 (tptp.k2_waybel34 @t362 @t120 (tptp.k5_yellow21 @t119 @t84 @t360 @t361)) @t362 @t120)) % 7.53/7.72 (define @t364 () (tptp.k1_altcat_1 @t119 @t84 @t360)) % 7.53/7.72 (define @t365 () (not (tptp.m1_subset_1 @t361 @t364))) % 7.53/7.72 (define @t366 () (tptp.u1_struct_0 @t359)) % 7.53/7.72 (define @t367 () (= tptp.k1_xboole_0 @t364)) % 7.53/7.72 (define @t368 () (not (tptp.m1_subset_1 @t360 @t145))) % 7.53/7.72 (define @t369 () (tptp.m1_subset_1 @t84 @t366)) % 7.53/7.72 (define @t370 () (not @t150)) % 7.53/7.72 (define @t371 () (@list @t84 @t360 @t361)) % 7.53/7.72 (define @t372 () (and (forall @t95 (or @t370 @t369)) (forall @t371 (or @t370 (not @t369) @t368 @t367 (not (tptp.m1_subset_1 @t360 @t366)) @t365 (= @t363 (tptp.r2_hidden @t361 (tptp.k1_altcat_1 @t359 @t84 @t360))))))) % 7.53/7.72 (define @t373 () (= @t359 @t5)) % 7.53/7.72 (define @t374 () (not (tptp.m1_altcat_2 @t359 @t119))) % 7.53/7.72 (define @t375 () (not (tptp.v3_altcat_2 @t359 @t119))) % 7.53/7.72 (define @t376 () (not (tptp.v6_altcat_1 @t359))) % 7.53/7.72 (define @t377 () (not (tptp.v2_altcat_1 @t359))) % 7.53/7.72 (define @t378 () (tptp.v3_struct_0 @t359)) % 7.53/7.72 (define @t379 () (= @t373 @t372)) % 7.53/7.72 (define @t380 () (or @t17 @t378 @t377 @t376 @t375 @t374 @t379)) % 7.53/7.72 (define @t381 () (or @t378 @t377 @t376 @t375 @t374 @t379)) % 7.53/7.72 (define @t382 () (or @t17 @t381)) % 7.53/7.72 (define @t383 () (@list @t1 @t359)) % 7.53/7.72 (define @t384 () (forall @t383 @t382)) % 7.53/7.72 (define @t385 () (@list @t359)) % 7.53/7.72 (define @t386 () (forall @t385 @t382)) % 7.53/7.72 (define @t387 () (forall @t385 @t381)) % 7.53/7.72 (define @t388 () (or @t17 @t387)) % 7.53/7.72 (define @t389 () (= @t363 (tptp.r2_hidden @t361 (tptp.k1_altcat_1 @t2 @t84 @t360)))) % 7.53/7.72 (define @t390 () (not (tptp.m1_subset_1 @t360 @t3))) % 7.53/7.72 (define @t391 () (not @t153)) % 7.53/7.72 (define @t392 () (or @t370 @t391 @t368 @t367 @t390 @t365 @t389)) % 7.53/7.72 (define @t393 () (= @t156 (and (forall @t95 (or @t370 @t153)) (forall @t371 @t392)))) % 7.53/7.72 (define @t394 () (not @t158)) % 7.53/7.72 (define @t395 () (not @t159)) % 7.53/7.72 (define @t396 () (not @t160)) % 7.53/7.72 (define @t397 () (not @t56)) % 7.53/7.72 (define @t398 () (or @t57 @t397 @t396 @t395 @t394 @t393)) % 7.53/7.72 (define @t399 () (forall @t15 @t398)) % 7.53/7.72 (define @t400 () (not @t58)) % 7.53/7.72 (define @t401 () (or @t400 @t397 @t396 @t395 @t394)) % 7.53/7.72 (define @t402 () (or @t368 @t367 @t390 @t365 @t389)) % 7.53/7.72 (define @t403 () (or @t370 @t391 @t402)) % 7.53/7.72 (define @t404 () (forall @t371 @t403)) % 7.53/7.72 (define @t405 () (@list @t360 @t361)) % 7.53/7.72 (define @t406 () (forall @t405 @t403)) % 7.53/7.72 (define @t407 () (forall @t405 @t402)) % 7.53/7.72 (define @t408 () (@var "BOUND_VARIABLE_9058" $$unsorted)) % 7.53/7.72 (define @t409 () (or @t370 @t391 @t407)) % 7.53/7.72 (define @t410 () (tptp.k1_altcat_1 @t2 @t84 @t121)) % 7.53/7.72 (define @t411 () (= (tptp.v22_waybel_0 (tptp.k2_waybel34 @t122 @t120 (tptp.k5_yellow21 @t119 @t84 @t121 @t408)) @t122 @t120) (tptp.r2_hidden @t408 @t410))) % 7.53/7.72 (define @t412 () (not (tptp.m1_subset_1 @t408 @t128))) % 7.53/7.72 (define @t413 () (not (tptp.m1_subset_1 @t121 @t3))) % 7.53/7.72 (define @t414 () (= tptp.k1_xboole_0 @t128)) % 7.53/7.72 (define @t415 () (not @t146)) % 7.53/7.72 (define @t416 () (or @t415 @t414 @t413 @t412 @t411)) % 7.53/7.72 (define @t417 () (@list @t121 @t408)) % 7.53/7.72 (define @t418 () (forall @t417 @t416)) % 7.53/7.72 (define @t419 () (or @t370 @t391 @t418)) % 7.53/7.72 (define @t420 () (or @t391 @t418)) % 7.53/7.72 (define @t421 () (or @t412 @t411)) % 7.53/7.72 (define @t422 () (or @t415 @t414 @t413 @t421)) % 7.53/7.72 (define @t423 () (forall @t417 @t422)) % 7.53/7.72 (define @t424 () (@list @t408)) % 7.53/7.72 (define @t425 () (forall @t424 @t422)) % 7.53/7.72 (define @t426 () (forall @t424 @t421)) % 7.53/7.72 (define @t427 () (@var "BOUND_VARIABLE_9018" $$unsorted)) % 7.53/7.72 (define @t428 () (@list @t427)) % 7.53/7.72 (define @t429 () (or @t415 @t414 @t413 @t426)) % 7.53/7.72 (define @t430 () (tptp.v22_waybel_0 (tptp.k2_waybel34 @t122 @t120 (tptp.k5_yellow21 @t119 @t84 @t121 @t427)) @t122 @t120)) % 7.53/7.72 (define @t431 () (= @t430 (tptp.r2_hidden @t427 @t410))) % 7.53/7.72 (define @t432 () (not (tptp.m1_subset_1 @t427 @t128))) % 7.53/7.72 (define @t433 () (or @t432 @t431)) % 7.53/7.72 (define @t434 () (@list @t427)) % 7.53/7.72 (define @t435 () (forall @t434 @t433)) % 7.53/7.72 (define @t436 () (or @t415 @t414 @t413 @t435)) % 7.53/7.72 (define @t437 () (forall @t148 @t436)) % 7.53/7.72 (define @t438 () (or @t391 @t437)) % 7.53/7.72 (define @t439 () (or @t391 @t436)) % 7.53/7.72 (define @t440 () (or @t415 @t414 @t413 @t391 @t435)) % 7.53/7.72 (define @t441 () (or @t414 @t413 @t391 @t435)) % 7.53/7.72 (define @t442 () (or @t391 @t435)) % 7.53/7.72 (define @t443 () (or @t391 @t433)) % 7.53/7.72 (define @t444 () (or @t391 @t432 @t431)) % 7.53/7.72 (define @t445 () (not (= @t84 @t84))) % 7.53/7.72 (define @t446 () (or @t391 @t445 @t432 @t431)) % 7.53/7.72 (define @t447 () (tptp.k1_altcat_1 @t2 @t125 @t121)) % 7.53/7.72 (define @t448 () (= @t430 (tptp.r2_hidden @t427 @t447))) % 7.53/7.72 (define @t449 () (= @t84 @t125)) % 7.53/7.72 (define @t450 () (not @t449)) % 7.53/7.72 (define @t451 () (not @t141)) % 7.53/7.72 (define @t452 () (or @t450 @t451 @t450 @t432 @t448)) % 7.53/7.72 (define @t453 () (or @t451 @t450 @t432 @t448)) % 7.53/7.72 (define @t454 () (forall @t143 @t453)) % 7.53/7.72 (define @t455 () (forall @t434 @t454)) % 7.53/7.72 (define @t456 () (forall (@list @t427 @t125) @t453)) % 7.53/7.72 (define @t457 () (@list @t125 @t427)) % 7.53/7.72 (define @t458 () (or @t432 @t448)) % 7.53/7.72 (define @t459 () (or @t451 @t450 @t458)) % 7.53/7.72 (define @t460 () (forall @t457 @t459)) % 7.53/7.72 (define @t461 () (forall @t434 @t459)) % 7.53/7.72 (define @t462 () (forall @t434 @t458)) % 7.53/7.72 (define @t463 () (@var "BOUND_VARIABLE_8976" $$unsorted)) % 7.53/7.72 (define @t464 () (@list @t463)) % 7.53/7.72 (define @t465 () (or @t451 @t450 @t462)) % 7.53/7.72 (define @t466 () (tptp.r2_hidden @t463 @t447)) % 7.53/7.72 (define @t467 () (tptp.v22_waybel_0 (tptp.k2_waybel34 @t122 @t120 (tptp.k5_yellow21 @t119 @t84 @t121 @t463)) @t122 @t120)) % 7.53/7.72 (define @t468 () (= @t467 @t466)) % 7.53/7.72 (define @t469 () (not (tptp.m1_subset_1 @t463 @t128))) % 7.53/7.72 (define @t470 () (or @t469 @t468)) % 7.53/7.72 (define @t471 () (@list @t463)) % 7.53/7.72 (define @t472 () (forall @t471 @t470)) % 7.53/7.72 (define @t473 () (or @t451 @t450 @t472)) % 7.53/7.72 (define @t474 () (forall @t143 @t473)) % 7.53/7.72 (define @t475 () (or @t414 @t413 @t474)) % 7.53/7.72 (define @t476 () (or @t414 @t413 @t473)) % 7.53/7.72 (define @t477 () (or @t451 @t450 @t414 @t413 @t472)) % 7.53/7.72 (define @t478 () (or @t450 @t414 @t413 @t472)) % 7.53/7.72 (define @t479 () (or @t413 @t472)) % 7.53/7.72 (define @t480 () (or @t413 @t470)) % 7.53/7.72 (define @t481 () (or @t413 @t469 @t468)) % 7.53/7.72 (define @t482 () (not (= @t121 @t121))) % 7.53/7.72 (define @t483 () (or @t413 @t482 @t469 (= @t466 @t467))) % 7.53/7.72 (define @t484 () (= (tptp.r2_hidden @t463 @t126) @t467)) % 7.53/7.72 (define @t485 () (= @t121 @t124)) % 7.53/7.72 (define @t486 () (not @t485)) % 7.53/7.72 (define @t487 () (not @t137)) % 7.53/7.72 (define @t488 () (or @t486 @t487 @t486 @t469 @t484)) % 7.53/7.72 (define @t489 () (or @t487 @t486 @t469 @t484)) % 7.53/7.72 (define @t490 () (forall @t139 @t489)) % 7.53/7.72 (define @t491 () (forall @t471 @t490)) % 7.53/7.72 (define @t492 () (forall (@list @t463 @t124) @t489)) % 7.53/7.72 (define @t493 () (@list @t124 @t463)) % 7.53/7.72 (define @t494 () (or @t469 @t484)) % 7.53/7.72 (define @t495 () (or @t487 @t486 @t494)) % 7.53/7.72 (define @t496 () (forall @t493 @t495)) % 7.53/7.72 (define @t497 () (forall @t471 @t495)) % 7.53/7.72 (define @t498 () (forall @t471 @t494)) % 7.53/7.72 (define @t499 () (or @t487 @t486 @t498)) % 7.53/7.72 (define @t500 () (forall @t130 (or (not @t129) @t127))) % 7.53/7.72 (define @t501 () (or @t487 @t486 @t500)) % 7.53/7.72 (define @t502 () (forall @t139 @t501)) % 7.53/7.72 (define @t503 () (or @t450 @t414 @t502)) % 7.53/7.72 (define @t504 () (or @t450 @t414 @t501)) % 7.53/7.72 (define @t505 () (or @t487 @t450 @t486 @t414 @t500)) % 7.53/7.72 (define @t506 () (or @t450 @t486 @t414 @t500)) % 7.53/7.72 (define @t507 () (or @t414 @t500)) % 7.53/7.72 (define @t508 () (and @t449 @t485)) % 7.53/7.72 (define @t509 () (=> @t508 @t507)) % 7.53/7.72 (define @t510 () (tptp.k3_yellow21 @t245 @t84)) % 7.53/7.72 (define @t511 () (tptp.k3_yellow21 @t245 @t360)) % 7.53/7.72 (define @t512 () (tptp.k1_altcat_1 @t245 @t84 @t360)) % 7.53/7.72 (define @t513 () (tptp.m1_subset_1 @t84 @t248)) % 7.53/7.72 (define @t514 () (not (tptp.m1_subset_1 @t84 @t246))) % 7.53/7.72 (define @t515 () (forall @t95 (or @t514 @t513))) % 7.53/7.72 (define @t516 () (and @t515 (forall @t371 (or @t514 (not @t513) (not (tptp.m1_subset_1 @t360 @t246)) (= tptp.k1_xboole_0 @t512) (not (tptp.m1_subset_1 @t360 @t248)) (not (tptp.m1_subset_1 @t361 @t512)) (= (tptp.v22_waybel_0 (tptp.k2_waybel34 @t511 @t510 (tptp.k5_yellow21 @t245 @t84 @t360 @t361)) @t511 @t510) (tptp.r2_hidden @t361 (tptp.k1_altcat_1 @t247 @t84 @t360))))))) % 7.53/7.73 (define @t517 () (= @t516 (= @t247 @t247))) % 7.53/7.73 (define @t518 () (not @t327)) % 7.53/7.73 (define @t519 () (not @t328)) % 7.53/7.73 (define @t520 () (not @t329)) % 7.53/7.73 (define @t521 () (or @t304 @t330 @t520 @t519 @t518 @t337 @t517)) % 7.53/7.73 (define @t522 () (forall @t383 (or @t17 @t378 @t377 @t376 @t375 @t374 (= @t372 (= @t5 @t359))))) % 7.53/7.73 (define @t523 () (or @t304 @t330 @t520 @t519 @t518 @t337 @t516)) % 7.53/7.73 (define @t524 () (tptp.m1_subset_1 @t288 @t246)) % 7.53/7.73 (define @t525 () (not @t524)) % 7.53/7.73 (define @t526 () (or @t525 @t290)) % 7.53/7.73 (define @t527 () (@var "BOUND_VARIABLE_9621" $$unsorted)) % 7.53/7.73 (define @t528 () (= (and (tptp.v1_orders_2 @t527) (tptp.v3_lattice3 @t527) (tptp.r2_hidden (tptp.u1_struct_0 @t527) @t1)) (tptp.m1_subset_1 @t527 @t145))) % 7.53/7.73 (define @t529 () (not (tptp.l1_orders_2 @t527))) % 7.53/7.73 (define @t530 () (not (tptp.v2_lattice3 @t527))) % 7.53/7.73 (define @t531 () (not (tptp.v1_lattice3 @t527))) % 7.53/7.73 (define @t532 () (not (tptp.v4_orders_2 @t527))) % 7.53/7.73 (define @t533 () (not (tptp.v3_orders_2 @t527))) % 7.53/7.73 (define @t534 () (not (tptp.v2_orders_2 @t527))) % 7.53/7.73 (define @t535 () (or @t534 @t533 @t532 @t531 @t530 @t529 @t528)) % 7.53/7.73 (define @t536 () (or @t17 @t535)) % 7.53/7.73 (define @t537 () (forall (@list @t1 @t527) @t536)) % 7.53/7.73 (define @t538 () (@list @t527)) % 7.53/7.73 (define @t539 () (forall @t538 @t536)) % 7.53/7.73 (define @t540 () (forall @t538 @t535)) % 7.53/7.73 (define @t541 () (or @t17 @t540)) % 7.53/7.73 (define @t542 () (= @t4 @t217)) % 7.53/7.73 (define @t543 () (or @t283 @t282 @t281 @t280 @t279 @t278 @t542)) % 7.53/7.73 (define @t544 () (forall @t15 @t543)) % 7.53/7.73 (define @t545 () (= @t289 @t524)) % 7.53/7.73 (define @t546 () (or @t304 @t303 @t301 @t299 @t297 @t295 @t293 @t545)) % 7.53/7.73 (define @t547 () (not @t545)) % 7.53/7.73 (define @t548 () (not @t289)) % 7.53/7.73 (define @t549 () (tptp.r2_hidden @t288 @t248)) % 7.53/7.73 (define @t550 () (not @t290)) % 7.53/7.73 (define @t551 () (or @t550 @t354 @t549)) % 7.53/7.73 (define @t552 () (not @t249)) % 7.53/7.73 (define @t553 () (not @t549)) % 7.53/7.73 (define @t554 () (or @t553 @t552 @t524)) % 7.53/7.73 (define @t555 () (not @t554)) % 7.53/7.73 (define @t556 () (forall @t88 @t232)) % 7.53/7.73 (assume @p1 @t22) % 7.53/7.73 (assume @p2 (forall @t20 (=> @t27 (=> @t26 (= @t1 @t25))))) % 7.53/7.73 (assume @p3 (forall @t20 (=> @t31 (=> @t30 (= @t1 (tptp.g2_altcat_1 @t24 @t29 @t28)))))) % 7.53/7.73 (assume @p4 (forall @t33 (=> @t32 (not (tptp.r2_hidden @t2 @t1))))) % 7.53/7.73 (assume @p5 (forall @t20 (=> @t36 (forall @t15 (=> @t35 @t34))))) % 7.53/7.73 (assume @p6 (forall @t20 (=> @t27 (=> (and @t41 @t39 @t42) (and @t41 @t39 @t38 @t37))))) % 7.53/7.73 (assume @p7 (forall @t20 (=> @t44 (forall @t15 (=> @t35 (and @t34 @t43)))))) % 7.53/7.73 (assume @p8 (forall @t20 (=> @t27 (=> (and @t41 @t39 @t37) (and @t41 @t39 @t45))))) % 7.53/7.73 (assume @p9 (forall @t20 (=> (and @t41 @t64 @t63 @t62 @t61 @t31) (forall @t15 (=> @t60 (=> @t59 (and @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t47 @t46 (tptp.v3_yellow21 @t2)))))))) % 7.53/7.73 (assume @p10 (forall @t20 (=> @t66 (forall @t15 (=> @t35 (and @t34 @t43 @t65)))))) % 7.53/7.73 (assume @p11 (forall @t20 (=> @t27 (=> (and @t41 @t39 @t72 @t71 @t70 @t45 @t38) (and @t41 @t39 @t72 @t71 @t70 @t69 @t42 @t45 @t68 @t67))))) % 7.53/7.73 (assume @p12 (forall @t20 (=> @t74 (forall @t15 (=> @t35 (and @t34 @t43 @t73 @t65)))))) % 7.53/7.73 (assume @p13 (forall @t20 (=> @t27 (=> (and @t41 @t39 @t71 @t37) (and @t41 @t39 @t71 @t69))))) % 7.53/7.73 (assume @p14 (forall @t20 (=> @t75 (forall @t15 (=> @t35 (and @t34 (tptp.v4_ordinal2 @t2) @t43 @t73 @t65)))))) % 7.53/7.73 (assume @p15 (forall @t20 (=> @t27 (=> (and @t41 @t39 @t71 @t68 @t37) (and @t41 @t39 @t71 @t70 @t68))))) % 7.53/7.73 (assume @p16 (forall @t20 (=> @t76 (and @t36 @t44 @t66 @t74 @t75)))) % 7.53/7.73 (assume @p17 (forall @t20 (=> @t36 (forall @t15 (=> @t78 @t77))))) % 7.53/7.73 (assume @p18 (forall @t20 (=> @t44 (forall @t15 (=> @t78 (and @t77 @t79)))))) % 7.53/7.73 (assume @p19 (forall @t20 (=> @t66 (forall @t15 (=> @t78 (and @t77 @t79 @t80)))))) % 7.53/7.73 (assume @p20 (forall @t20 (=> @t74 (forall @t15 (=> @t78 (and @t77 @t79 @t80 @t81)))))) % 7.53/7.73 (assume @p21 (forall @t20 (=> @t76 @t82))) % 7.53/7.73 (assume @p22 (forall @t20 (=> @t76 @t83))) % 7.53/7.73 (assume @p23 (forall @t20 (=> @t27 (=> @t70 @t41)))) % 7.53/7.73 (assume @p24 (forall @t20 (=> @t75 @t74))) % 7.53/7.73 (assume @p25 (forall @t88 (=> @t87 @t85))) % 7.53/7.73 (assume @p26 (forall @t33 (=> (and @t41 @t39 @t71 @t27 @t58 @t13 @t11 @t8) (forall @t95 (=> @t94 (=> (and @t92 @t91 (tptp.v22_waybel_0 @t84 @t1 @t2)) (and (not @t93) @t92 @t91 @t90 @t89))))))) % 7.53/7.73 (assume @p27 (forall @t20 (=> @t31 (=> (and @t41 @t64 @t63 @t62 @t61) (and @t41 @t64 @t63 @t62 @t97 @t96))))) % 7.53/7.73 (assume @p28 (forall @t20 (=> @t27 (=> @t98 (and @t41 @t70 @t69))))) % 7.53/7.73 (assume @p29 (forall @t20 (=> @t27 (=> (and @t41 @t39 @t72 @t71 @t68 @t38 @t37) (and @t41 @t39 @t72 @t71 @t45 @t68 @t67 @t38 @t37 @t70 @t69 @t42))))) % 7.53/7.73 (assume @p30 (forall @t20 (=> @t75 (forall @t15 (=> @t78 (and @t77 @t79 @t80 @t81 (tptp.v5_membered @t2))))))) % 7.53/7.73 (assume @p31 (forall @t20 (=> @t82 (forall @t15 (=> @t78 @t99))))) % 7.53/7.73 (assume @p32 (forall @t20 (=> @t102 @t101))) % 7.53/7.73 (assume @p33 (forall @t20 (=> @t31 (=> (and @t41 @t62) (and @t41 @t97))))) % 7.53/7.73 (assume @p34 (forall @t20 (=> @t27 (=> @t69 @t41)))) % 7.53/7.73 (assume @p35 (forall @t20 (=> @t74 @t66))) % 7.53/7.73 (assume @p36 @t104) % 7.53/7.73 (assume @p37 (forall @t20 (=> @t31 (=> (and @t41 @t64 @t63 @t62 @t96) (and @t41 @t64 @t109 @t63 @t62 @t97 @t108 @t107 @t106 @t105))))) % 7.53/7.73 (assume @p38 (forall @t20 (=> @t66 @t44))) % 7.53/7.73 (assume @p39 (forall @t20 (=> @t27 (=> @t98 (and @t41 @t67))))) % 7.53/7.73 (assume @p40 (forall @t20 (=> @t44 @t36))) % 7.53/7.73 (assume @p41 (forall @t20 (=> @t27 (=> @t67 @t110)))) % 7.53/7.73 (assume @p42 (forall @t20 (=> (and @t41 @t64 @t63 @t62 @t107 @t31) (forall @t15 (=> @t60 (=> @t59 (and @t58 @t56 @t54 @t53 @t52 @t51 @t49))))))) % 7.53/7.73 (assume @p43 (forall @t20 (=> @t27 (=> @t110 @t67)))) % 7.53/7.73 (assume @p44 (forall @t20 (=> (and @t41 @t64 @t63 @t62 @t108 @t31) (forall @t15 (=> @t60 (=> @t59 (and @t58 @t56 @t54 @t53 @t52 @t51 @t50))))))) % 7.53/7.73 (assume @p45 (forall @t20 (=> (and @t41 @t64 @t109 @t63 @t62 @t31) (forall @t15 (=> @t60 (=> (and @t58 @t56) (and @t58 @t56 @t55 @t54))))))) % 7.53/7.73 (assume @p46 (forall @t20 (=> (and @t41 @t64 @t63 @t62 @t105 @t31) (forall @t15 (=> @t60 (=> @t59 (and @t58 @t56 @t54 @t53 @t52 @t51 @t47))))))) % 7.53/7.73 (assume @p47 (forall @t20 (=> @t27 (=> (and @t39 @t70 @t38) (and @t41 @t39 @t70 @t68))))) % 7.53/7.73 (assume @p48 (forall @t20 (=> @t111 (forall @t15 (=> @t60 (=> @t59 (and @t58 @t56 @t55 @t54 @t53 @t52 @t51 @t50 @t49 @t48 @t47 @t46))))))) % 7.53/7.73 (assume @p49 @t118) % 7.53/7.73 (assume @p50 @t165) % 7.53/7.73 (assume @p51 (forall @t20 (=> @t111 (forall @t15 (=> @t167 (= @t166 @t2)))))) % 7.53/7.73 (assume @p52 (forall @t33 (=> @t169 (and (tptp.v1_orders_2 @t168) (tptp.l1_orders_2 @t168))))) % 7.53/7.73 (assume @p53 (forall @t88 (=> @t175 (and (tptp.v6_altcat_1 @t170) (tptp.l2_altcat_1 @t170))))) % 7.53/7.73 (assume @p54 true) % 7.53/7.73 (assume @p55 (forall @t20 (tptp.l1_struct_0 (tptp.k1_yellow21 @t1)))) % 7.53/7.73 (assume @p56 (forall @t33 (=> @t174 (tptp.m1_pboole @t171 @t172)))) % 7.53/7.73 (assume @p57 (forall @t88 (=> (and @t39 @t72 @t71 @t70 @t69 @t27 @t13 @t12 @t11 @t10 @t9 @t8 @t92 (tptp.v1_funct_2 @t84 @t3 @t24) (tptp.m1_relset_1 @t84 @t3 @t24)) (and (tptp.v1_funct_1 @t176) (tptp.v1_funct_2 @t176 @t24 @t3) (tptp.m2_relset_1 @t176 @t24 @t3))))) % 7.53/7.73 (assume @p58 (forall @t88 (=> (and @t174 (tptp.m1_pboole @t84 @t173)) (tptp.m1_pboole (tptp.k3_altcat_1 @t1 @t2 @t84) @t172)))) % 7.53/7.73 (assume @p59 (forall @t33 (=> @t177 (and (tptp.v2_orders_2 @t166) (tptp.v3_orders_2 @t166) (tptp.v4_orders_2 @t166) (tptp.v1_lattice3 @t166) (tptp.v2_lattice3 @t166) (tptp.l1_orders_2 @t166))))) % 7.53/7.73 (assume @p60 @t185) % 7.53/7.73 (assume @p61 (forall @t190 (=> (and @t41 @t64 @t63 @t62 @t96 @t31 @t167 (tptp.m1_subset_1 @t84 @t24) (tptp.m1_subset_1 @t121 (tptp.k1_altcat_1 @t1 @t2 @t84))) (and (tptp.v1_funct_1 @t189) (tptp.v1_funct_2 @t189 @t188 @t187) (tptp.v5_orders_3 @t189 @t166 @t186) (tptp.m2_relset_1 @t189 @t188 @t187))))) % 7.53/7.73 (assume @p62 @t192) % 7.53/7.73 (assume @p63 @t195) % 7.53/7.73 (assume @p64 (forall @t20 (=> @t27 @t193))) % 7.53/7.73 (assume @p65 @t196) % 7.53/7.73 (assume @p66 @t199) % 7.53/7.73 (assume @p67 (forall @t33 (=> @t202 (and @t201 @t200)))) % 7.53/7.73 (assume @p68 (forall @t88 (=> @t203 @t87))) % 7.53/7.73 (assume @p69 (forall @t88 (=> @t206 (forall @t148 (=> @t204 (tptp.m1_pboole @t121 @t1)))))) % 7.53/7.73 (assume @p70 (forall @t20 (=> @t194 (tptp.m1_pboole @t29 @t113)))) % 7.53/7.73 (assume @p71 (forall @t20 (=> @t27 (tptp.m2_relset_1 @t23 @t24 @t24)))) % 7.53/7.73 (assume @p72 (forall @t20 (=> @t31 (tptp.m3_pboole @t28 @t112 (tptp.k3_altcat_1 @t24 @t29 @t29) (tptp.k2_altcat_1 @t24 @t29))))) % 7.53/7.73 (assume @p73 (exists @t20 @t194)) % 7.53/7.73 (assume @p74 (exists @t20 @t27)) % 7.53/7.73 (assume @p75 (exists @t20 @t193)) % 7.53/7.73 (assume @p76 (exists @t20 @t31)) % 7.53/7.73 (assume @p77 (forall @t20 (=> @t31 (exists @t15 @t60)))) % 7.53/7.73 (assume @p78 (forall @t20 (exists @t15 @t202))) % 7.53/7.73 (assume @p79 (forall @t33 (exists @t95 @t207))) % 7.53/7.73 (assume @p80 (forall @t20 (exists @t15 @t35))) % 7.53/7.73 (assume @p81 (forall @t33 (exists @t95 @t203))) % 7.53/7.73 (assume @p82 (forall @t88 (=> @t206 (exists @t148 @t204)))) % 7.53/7.73 (assume @p83 (forall @t20 (=> (and @t41 @t39 @t38 @t27) (and @t210 @t209 @t208 (tptp.v24_waybel_0 @t25))))) % 7.53/7.73 (assume @p84 (forall @t33 (=> (and @t82 @t99) (tptp.v1_finset_1 @t86)))) % 7.53/7.73 (assume @p85 (forall @t88 (=> (and @t82 @t99 (tptp.v1_finset_1 @t84)) (tptp.v1_finset_1 (tptp.k3_zfmisc_1 @t1 @t2 @t84))))) % 7.53/7.73 (assume @p86 (forall @t33 (=> (and @t41 @t62 @t31 @t167) (not (tptp.v1_xboole_0 (tptp.k1_altcat_1 @t1 @t2 @t2)))))) % 7.53/7.73 (assume @p87 @t213) % 7.53/7.73 (assume @p88 (forall @t20 (=> (and @t41 @t27) (and @t210 @t209)))) % 7.53/7.73 (assume @p89 (forall @t20 (=> (and @t41 @t39 @t27) (and @t210 @t209 @t208)))) % 7.53/7.73 (assume @p90 (and (tptp.v1_xboole_0 tptp.k1_xboole_0) (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0))) % 7.53/7.73 (assume @p91 (forall @t20 (=> @t18 (and @t183 @t182 @t181 (tptp.v9_altcat_1 @t119) @t180 @t179 (tptp.v1_altcat_2 @t119) (tptp.v2_yellow18 @t119) (tptp.v3_yellow18 @t119) (tptp.v4_yellow18 @t119) (tptp.v1_yellow21 @t119) @t178 (tptp.v3_yellow21 @t119))))) % 7.53/7.73 (assume @p92 (forall @t20 (=> (and @t72 @t27) (and @t209 (tptp.v3_orders_2 @t25))))) % 7.53/7.73 (assume @p93 (forall @t20 (=> (and @t71 @t27) (and @t209 (tptp.v4_orders_2 @t25))))) % 7.53/7.73 (assume @p94 (forall @t20 (=> (and @t69 @t27) (and @t210 @t209 (tptp.v2_lattice3 @t25))))) % 7.53/7.73 (assume @p95 (forall @t20 (=> (and @t70 @t27) (and @t210 @t209 (tptp.v1_lattice3 @t25))))) % 7.53/7.73 (assume @p96 (forall @t33 (=> @t169 (forall (@list @t84 @t121) (=> (= @t168 (tptp.g1_orders_2 @t84 @t121)) (and (= @t1 @t84) (= @t2 @t121))))))) % 7.53/7.73 (assume @p97 (forall @t88 (=> @t175 (forall (@list @t121 @t125 @t124) (=> (= @t170 (tptp.g2_altcat_1 @t121 @t125 @t124)) (and (= @t1 @t121) (= @t2 @t125) (= @t84 @t124))))))) % 7.53/7.73 (assume @p98 (exists @t20 (and @t27 @t41 @t26 @t39 @t72 @t71 @t70 @t69 @t42 @t45 @t68 @t67 @t38 @t37))) % 7.53/7.73 (assume @p99 (exists @t20 (and @t103 @t82))) % 7.53/7.73 (assume @p100 (exists @t20 (and @t100 @t83))) % 7.53/7.73 (assume @p101 (exists @t20 (and @t27 @t41 @t26 @t39 @t72 @t71 @t42))) % 7.53/7.73 (assume @p102 (exists @t20 (and @t103 @t36 @t44 @t66 @t74 @t75))) % 7.53/7.73 (assume @p103 (forall @t33 (=> (and @t27 @t58 @t13 @t8) (exists @t95 (and @t94 @t85 @t92 @t91 @t89 @t90))))) % 7.53/7.73 (assume @p104 (exists @t20 (and @t31 @t41 @t64 @t30 @t109 @t63 @t62 @t97 @t108 @t107 @t106 @t105 @t96 @t61))) % 7.53/7.73 (assume @p105 (exists @t20 @t102)) % 7.53/7.73 (assume @p106 (exists @t20 (and @t27 @t41 @t26 @t39 @t72 @t71 @t70 @t69 @t42))) % 7.53/7.73 (assume @p107 (exists @t20 @t18)) % 7.53/7.73 (assume @p108 (exists @t20 (and @t27 @t41 @t39 @t72 @t71 @t70 @t69 @t42 @t45 @t68 @t67))) % 7.53/7.73 (assume @p109 (forall @t20 (=> @t103 (exists @t15 (and @t78 @t215 @t99))))) % 7.53/7.73 (assume @p110 (exists @t20 @t101)) % 7.53/7.73 (assume @p111 (forall @t20 (=> @t18 (exists @t15 (and @t35 @t215))))) % 7.53/7.73 (assume @p112 (exists @t20 (and @t193 @t41))) % 7.53/7.73 (assume @p113 (forall @t20 (=> @t212 (exists @t15 (and (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t24)) @t215))))) % 7.53/7.73 (assume @p114 (exists @t20 (and @t31 @t41 @t97))) % 7.53/7.73 (assume @p115 (forall @t33 (=> @t177 (= @t166 (tptp.k1_yellow21 @t2))))) % 7.53/7.73 (assume @p116 (forall @t88 (= @t203 @t207))) % 7.53/7.73 (assume @p117 (forall @t190 (=> @t216 (= (tptp.r2_altcat_2 @t1 @t2 @t84 @t121) (tptp.r1_altcat_2 @t84 @t121))))) % 7.53/7.73 (assume @p118 (forall @t33 (=> (and @t100 @t83 @t201 @t200) (tptp.r1_altcat_2 @t1 @t1)))) % 7.53/7.73 (assume @p119 (forall @t33 (tptp.r1_tarski @t1 @t1))) % 7.53/7.73 (assume @p120 (forall @t190 (=> @t216 (tptp.r2_altcat_2 @t1 @t2 @t84 @t84)))) % 7.53/7.73 (assume @p121 @t221) % 7.53/7.73 (assume @p122 (forall @t33 (=> @t32 @t222))) % 7.53/7.73 (assume @p123 @t224) % 7.53/7.73 (assume @p124 @t225) % 7.53/7.73 (assume @p125 @t229) % 7.53/7.73 (assume @p126 (forall @t88 (not (and @t32 @t227 @t93)))) % 7.53/7.73 (assume @p127 (forall @t20 (=> @t76 (= @t1 tptp.k1_xboole_0)))) % 7.53/7.73 (assume @p128 (forall @t33 (not (and @t32 @t214)))) % 7.53/7.73 (assume @p129 (forall @t33 (not (and @t76 (not (= @t1 @t2)) @t214)))) % 7.53/7.73 (step @p130 :rule aci_norm :args ((= (or (or @t231 @t230) @t226) @t232))) % 7.53/7.73 (step @p131 :rule refl :args (@t226)) % 7.53/7.73 (step @p132 :rule bool-and-de-morgan :args (@t32 @t227 true)) % 7.53/7.73 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or (not @t228) @t226))) % 7.53/7.73 (step @p134 :rule trans :premises (@p133 @p130)) % 7.53/7.73 (step @p135 :rule bool-impl-elim :args (@t228 @t226)) % 7.53/7.73 (step @p136 :rule trans :premises (@p135 @p134)) % 7.53/7.73 (step @p137 :rule cong :premises (@p136) :args (@t229)) % 7.53/7.73 (step @p138 :rule eq_resolve :premises (@p125 @p137)) % 7.53/7.73 (step @p139 :rule eq-symm :args (@t249 @t250)) % 7.53/7.73 (step @p140 :rule refl :args (@t225)) % 7.53/7.73 (step @p141 :rule cong :premises (@p140 @p139) :args ((=> @t225 @t251))) % 7.53/7.73 (assume-push @p741 @t225) % 7.53/7.73 (step @p143 :rule instantiate :premises (@p124) :args ((@list @t248 @t246))) % 7.53/7.73 (step-pop @p742 :rule scope :premises (@p143)) % 7.53/7.73 (step @p144 :rule process_scope :premises (@p742) :args (@t251)) % 7.53/7.73 (step @p146 :rule eq_resolve :premises (@p144 @p141)) % 7.53/7.73 (step @p147 :rule implies_elim :premises (@p146)) % 7.53/7.73 (step @p148 :rule chain_m_resolution :premises (@p147 @p124) :args (@t252 @t253 (@list @t225))) % 7.53/7.73 (step @p149 :rule aci_norm :args ((= @t260 (or @t258 @t257 @t256)))) % 7.53/7.73 (step @p150 :rule cong :premises (@p149) :args (@t261)) % 7.53/7.73 (step @p151 :rule quant-merge-prenex :args ((= (forall @t20 @t263) @t261))) % 7.53/7.73 (step @p152 :rule alpha_equiv :args (@t264 (@list @t254) @t265)) % 7.53/7.73 (step @p153 :rule refl :args (@t258)) % 7.53/7.73 (step @p154 :rule nary_cong :premises (@p153 @p152) :args (@t266)) % 7.53/7.73 (step @p155 :rule quant-miniscope-or :args ((= @t263 @t266))) % 7.53/7.73 (step @p156 :rule trans :premises (@p155 @p154)) % 7.53/7.73 (step @p157 :rule symm :premises (@p156)) % 7.53/7.73 (step @p158 :rule cong :premises (@p157) :args ((forall @t20 (or @t258 @t267)))) % 7.53/7.73 (step @p159 :rule trans :premises (@p158 @p151)) % 7.53/7.73 (step @p160 :rule trans :premises (@p159 @p150)) % 7.53/7.73 (step @p161 :rule bool-impl-elim :args (@t31 @t267)) % 7.53/7.73 (step @p162 :rule cong :premises (@p161) :args ((forall @t20 (=> @t31 @t267)))) % 7.53/7.73 (step @p163 :rule trans :premises (@p162 @p160)) % 7.53/7.73 (step @p164 :rule bool-impl-elim :args (@t115 @t114)) % 7.53/7.73 (step @p165 :rule cong :premises (@p164) :args (@t116)) % 7.53/7.73 (step @p166 :rule refl :args (@t31)) % 7.53/7.73 (step @p167 :rule cong :premises (@p166 @p165) :args (@t117)) % 7.53/7.73 (step @p168 :rule cong :premises (@p167) :args (@t118)) % 7.53/7.73 (step @p169 :rule trans :premises (@p168 @p163)) % 7.53/7.73 (step @p170 :rule eq_resolve :premises (@p49 @p169)) % 7.53/7.73 (step @p171 :rule instantiate :premises (@p170) :args (@t268)) % 7.53/7.73 (step @p172 :rule refl :args (@t184)) % 7.53/7.73 (step @p173 :rule bool-double-not-elim :args (@t76)) % 7.53/7.73 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or (not @t103) @t184))) % 7.53/7.73 (step @p175 :rule bool-impl-elim :args (@t103 @t184)) % 7.53/7.73 (step @p176 :rule trans :premises (@p175 @p174)) % 7.53/7.73 (step @p177 :rule cong :premises (@p176) :args (@t185)) % 7.53/7.73 (step @p178 :rule eq_resolve :premises (@p60 @p177)) % 7.53/7.73 (step @p179 :rule instantiate :premises (@p178) :args (@t269)) % 7.53/7.73 (step @p180 :rule refl :args (@t103)) % 7.53/7.73 (step @p181 :rule bool-double-not-elim :args (@t17)) % 7.53/7.73 (step @p182 :rule nary_cong :premises (@p181 @p180) :args ((or @t270 @t103))) % 7.53/7.73 (step @p183 :rule bool-impl-elim :args (@t18 @t103)) % 7.53/7.73 (step @p184 :rule trans :premises (@p183 @p182)) % 7.53/7.73 (step @p185 :rule cong :premises (@p184) :args (@t104)) % 7.53/7.73 (step @p186 :rule eq_resolve :premises (@p36 @p185)) % 7.53/7.73 (step @p187 :rule instantiate :premises (@p186) :args (@t269)) % 7.53/7.73 (step @p188 :rule 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(@p181 @p658) :args ((or @t270 @t544))) % 7.53/7.73 (step @p660 :rule bool-impl-elim :args (@t18 @t544)) % 7.53/7.73 (step @p661 :rule trans :premises (@p660 @p659)) % 7.53/7.73 (step @p662 :rule cong :premises (@p661) :args ((forall @t20 (=> @t18 @t544)))) % 7.53/7.73 (step @p663 :rule trans :premises (@p662 @p657)) % 7.53/7.73 (step @p664 :rule aci_norm :args ((= (or @t286 @t542) @t543))) % 7.53/7.73 (step @p665 :rule refl :args (@t542)) % 7.53/7.73 (step @p666 :rule nary_cong :premises (@p226 @p665) :args ((or @t287 @t542))) % 7.53/7.73 (step @p667 :rule trans :premises (@p666 @p664)) % 7.53/7.73 (step @p668 :rule bool-impl-elim :args (@t14 @t542)) % 7.53/7.73 (step @p669 :rule trans :premises (@p668 @p667)) % 7.53/7.73 (step @p670 :rule cong :premises (@p669) :args ((forall @t15 (=> @t14 @t542)))) % 7.53/7.73 (step @p671 :rule eq-symm :args (@t217 @t4)) % 7.53/7.73 (step @p672 :rule refl :args (@t14)) % 7.53/7.73 (step @p673 :rule cong :premises (@p672 @p671) :args (@t218)) % 7.53/7.73 (step @p674 :rule cong :premises (@p673) :args (@t219)) % 7.53/7.73 (step @p675 :rule trans :premises (@p674 @p670)) % 7.53/7.73 (step @p676 :rule cong :premises (@p232 @p675) :args (@t220)) % 7.53/7.73 (step @p677 :rule cong :premises (@p676) :args (@t221)) % 7.53/7.73 (step @p678 :rule trans :premises (@p677 @p663)) % 7.53/7.73 (step @p679 :rule eq_resolve :premises (@p121 @p678)) % 7.53/7.73 (step @p680 :rule instantiate :premises (@p679) :args ((@list @t244 @t288))) % 7.53/7.73 (step @p681 :rule bool-double-not-elim :args (@t292)) % 7.53/7.73 (step @p682 :rule refl :args (@t305)) % 7.53/7.73 (step @p683 :rule nary_cong :premises (@p682 @p681) :args ((or @t305 (not @t293)))) % 7.53/7.73 (step @p684 :rule cnf_or_neg :args (@t305 6)) % 7.53/7.73 (step @p685 :rule eq_resolve :premises (@p684 @p683)) % 7.53/7.73 (step @p686 :rule reordering :premises (@p685) :args ((or @t292 @t305))) % 7.53/7.73 (step @p687 :rule chain_m_resolution :premises (@p686 @p238) :args (@t292 @t306 @t307)) % 7.53/7.73 (step @p688 :rule bool-double-not-elim :args (@t294)) % 7.53/7.73 (step @p689 :rule nary_cong :premises (@p682 @p688) :args ((or @t305 (not @t295)))) % 7.53/7.73 (step @p690 :rule cnf_or_neg :args (@t305 5)) % 7.53/7.73 (step @p691 :rule eq_resolve :premises (@p690 @p689)) % 7.53/7.73 (step @p692 :rule reordering :premises (@p691) :args ((or @t294 @t305))) % 7.53/7.73 (step @p693 :rule chain_m_resolution :premises (@p692 @p238) :args (@t294 @t306 @t307)) % 7.53/7.73 (step @p694 :rule bool-double-not-elim :args (@t296)) % 7.53/7.73 (step @p695 :rule nary_cong :premises (@p682 @p694) :args ((or @t305 (not @t297)))) % 7.53/7.73 (step @p696 :rule cnf_or_neg :args (@t305 4)) % 7.53/7.73 (step @p697 :rule eq_resolve :premises (@p696 @p695)) % 7.53/7.73 (step @p698 :rule reordering :premises (@p697) :args ((or @t296 @t305))) % 7.53/7.73 (step @p699 :rule chain_m_resolution :premises (@p698 @p238) :args (@t296 @t306 @t307)) % 7.53/7.73 (step @p700 :rule bool-double-not-elim :args (@t298)) % 7.53/7.73 (step @p701 :rule nary_cong :premises (@p682 @p700) :args ((or @t305 (not @t299)))) % 7.53/7.73 (step @p702 :rule cnf_or_neg :args (@t305 3)) % 7.53/7.73 (step @p703 :rule eq_resolve :premises (@p702 @p701)) % 7.53/7.73 (step @p704 :rule reordering :premises (@p703) :args ((or @t298 @t305))) % 7.53/7.73 (step @p705 :rule chain_m_resolution :premises (@p704 @p238) :args (@t298 @t306 @t307)) % 7.53/7.73 (step @p706 :rule bool-double-not-elim :args (@t300)) % 7.53/7.73 (step @p707 :rule nary_cong :premises (@p682 @p706) :args ((or @t305 (not @t301)))) % 7.53/7.73 (step @p708 :rule cnf_or_neg :args (@t305 2)) % 7.53/7.73 (step @p709 :rule eq_resolve :premises (@p708 @p707)) % 7.53/7.73 (step @p710 :rule reordering :premises (@p709) :args ((or @t300 @t305))) % 7.53/7.73 (step @p711 :rule chain_m_resolution :premises (@p710 @p238) :args (@t300 @t306 @t307)) % 7.53/7.73 (step @p712 :rule bool-double-not-elim :args (@t302)) % 7.53/7.73 (step @p713 :rule nary_cong :premises (@p682 @p712) :args ((or @t305 (not @t303)))) % 7.53/7.73 (step @p714 :rule cnf_or_neg :args (@t305 1)) % 7.53/7.73 (step @p715 :rule eq_resolve :premises (@p714 @p713)) % 7.53/7.73 (step @p716 :rule reordering :premises (@p715) :args ((or @t302 @t305))) % 7.53/7.73 (step @p717 :rule chain_m_resolution :premises (@p716 @p238) :args (@t302 @t306 @t307)) % 7.53/7.73 (step @p718 :rule cnf_or_pos :args (@t546)) % 7.53/7.73 (step @p719 :rule reordering :premises (@p718) :args ((or @t304 @t303 @t301 @t299 @t297 @t295 @t293 @t545 (not @t546)))) % 7.53/7.73 (step @p720 :rule chain_m_resolution :premises (@p719 @p240 @p717 @p711 @p705 @p699 @p693 @p687 @p680) :args (@t545 (@list true false false false false false false false) (@list @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t546))) % 7.53/7.73 (step @p721 :rule cnf_equiv_pos1 :args (@t545)) % 7.53/7.73 (step @p722 :rule reordering :premises (@p721) :args ((or @t548 @t524 @t547))) % 7.53/7.73 (step @p723 :rule chain_m_resolution :premises (@p722 @p720 @p646 @p644 @p342 @p340) :args (@t290 (@list false true false false true) (@list @t545 @t524 @t526 @t289 @t291))) % 7.53/7.73 (step @p724 :rule cnf_or_pos :args (@t551)) % 7.53/7.73 (step @p725 :rule reordering :premises (@p724) :args ((or @t550 @t354 @t549 (not @t551)))) % 7.53/7.73 (step @p726 :rule chain_m_resolution :premises (@p725 @p723 @p338 @p304) :args (@t549 (@list false true false) (@list @t290 @t354 @t551))) % 7.53/7.73 (step @p727 :rule cnf_equiv_neg2 :args (@t291)) % 7.53/7.73 (step @p728 :rule chain_m_resolution :premises (@p727 @p340 @p723) :args (@t548 @t311 (@list @t291 @t290))) % 7.53/7.73 (step @p729 :rule cnf_equiv_pos2 :args (@t545)) % 7.53/7.73 (step @p730 :rule reordering :premises (@p729) :args ((or @t289 @t525 @t547))) % 7.53/7.73 (step @p731 :rule chain_m_resolution :premises (@p730 @p728 @p720) :args (@t525 @t311 (@list @t289 @t545))) % 7.53/7.73 (step @p732 :rule cnf_or_pos :args (@t554)) % 7.53/7.73 (step @p733 :rule reordering :premises (@p732) :args ((or @t524 @t553 @t552 @t555))) % 7.53/7.73 (step @p734 :rule chain_m_resolution :premises (@p733 @p731 @p726 @p298) :args (@t555 @t358 (@list @t524 @t549 @t249))) % 7.53/7.77 (assume-push @p745 @t556) % 7.53/7.77 (step @p736 :rule instantiate :premises (@p138) :args ((@list @t288 @t248 @t246))) % 7.53/7.77 (step-pop @p746 :rule scope :premises (@p736)) % 7.53/7.77 (step @p737 :rule process_scope :premises (@p746) :args (@t554)) % 7.53/7.77 (step @p739 :rule implies_elim :premises (@p737)) % 7.53/7.77 (step @p740 false :rule chain_m_resolution :premises (@p739 @p734 @p138) :args (false @t311 (@list @t554 @t556))) % 7.53/7.77 ) % 7.53/7.77 % SZS output end Proof % 7.53/7.77 % cvc5 exiting %------------------------------------------------------------------------------