%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT361+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 : n015.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 08:30:29 AM UTC 2026 % Result : Theorem 1.04s 1.26s % Output : Proof 1.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : LAT361+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n015.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 06:49:34 EDT 2026 % 0.15/0.34 % CPUTime : % 0.33/0.52 %----Proving TF0_NAR, FOF, or CNF % 1.04/1.26 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.04/1.26 % SZS status Theorem % 1.04/1.26 % SZS output start Proof % 1.04/1.26 ( % 1.04/1.26 (declare-sort $$unsorted 0) % 1.04/1.26 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.k1_xboole_0 $$unsorted) % 1.04/1.26 (declare-const tptp.v21_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.k11_functor0 (-> $$unsorted $$unsorted)) % 1.04/1.26 (declare-const tptp.k3_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.26 (declare-const tptp.v14_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v11_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v9_altcat_1 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v2_yellow18 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v3_yellow18 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.l1_altcat_1 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v1_altcat_2 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.l1_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.m1_pboole (-> $$unsorted $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.l2_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.k6_waybel34 (-> $$unsorted $$unsorted)) % 1.04/1.26 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v9_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.k13_functor0 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.26 (declare-const tptp.m1_functor0 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.g2_functor0 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.26 (declare-const tptp.k12_functor0 (-> $$unsorted $$unsorted)) % 1.04/1.26 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.u1_functor0 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.26 (declare-const tptp.v1_funcop_1 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.u2_functor0 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.26 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.k4_waybel34 (-> $$unsorted $$unsorted)) % 1.04/1.26 (declare-const tptp.k3_altcat_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.26 (declare-const tptp.v11_altcat_1 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v1_yellow21 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 1.04/1.26 (declare-const tptp.v12_altcat_1 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.k7_waybel34 (-> $$unsorted $$unsorted)) % 1.04/1.26 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.k2_altcat_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.04/1.26 (declare-const tptp.v3_yellow21 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.m3_pboole (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v2_yellow21 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.k5_waybel34 (-> $$unsorted $$unsorted)) % 1.04/1.26 (declare-const tptp.v4_yellow18 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.g2_altcat_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.26 (declare-const tptp.v2_setfam_1 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.u2_altcat_1 (-> $$unsorted $$unsorted)) % 1.04/1.26 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.u1_altcat_1 (-> $$unsorted $$unsorted)) % 1.04/1.26 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v6_altcat_1 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 1.04/1.26 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.k15_functor0 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.04/1.26 (declare-const tptp.l2_altcat_1 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v16_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v12_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v8_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.m2_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v2_altcat_1 (-> $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.04/1.26 (declare-const tptp.v13_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v10_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v6_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.26 (declare-const tptp.v15_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.04/1.26 (define @t1 () (@var "A" $$unsorted)) % 1.04/1.26 (define @t2 () (tptp.k4_waybel34 @t1)) % 1.04/1.26 (define @t3 () (tptp.k7_waybel34 @t1)) % 1.04/1.26 (define @t4 () (tptp.k6_waybel34 @t1)) % 1.04/1.26 (define @t5 () (tptp.k5_waybel34 @t1)) % 1.04/1.26 (define @t6 () (and (= (tptp.k13_functor0 @t5 @t2 @t5 @t3 @t4) (tptp.k12_functor0 @t5)) (= (tptp.k13_functor0 @t2 @t5 @t2 @t4 @t3) (tptp.k12_functor0 @t2)))) % 1.04/1.26 (define @t7 () (tptp.v2_setfam_1 @t1)) % 1.04/1.26 (define @t8 () (not @t7)) % 1.04/1.26 (define @t9 () (@list @t1)) % 1.04/1.26 (define @t10 () (forall @t9 (=> @t8 @t6))) % 1.04/1.26 (define @t11 () (not @t10)) % 1.04/1.26 (define @t12 () (tptp.u2_altcat_1 @t1)) % 1.04/1.26 (define @t13 () (tptp.u1_altcat_1 @t1)) % 1.04/1.26 (define @t14 () (tptp.u1_struct_0 @t1)) % 1.04/1.26 (define @t15 () (tptp.v6_altcat_1 @t1)) % 1.04/1.26 (define @t16 () (tptp.l2_altcat_1 @t1)) % 1.04/1.26 (define @t17 () (@var "C" $$unsorted)) % 1.04/1.26 (define @t18 () (@var "B" $$unsorted)) % 1.04/1.26 (define @t19 () (tptp.u2_functor0 @t1 @t18 @t17)) % 1.04/1.26 (define @t20 () (tptp.u1_functor0 @t1 @t18 @t17)) % 1.04/1.26 (define @t21 () (= @t17 (tptp.g2_functor0 @t1 @t18 @t20 @t19))) % 1.04/1.26 (define @t22 () (tptp.v9_functor0 @t17 @t1 @t18)) % 1.04/1.26 (define @t23 () (=> @t22 @t21)) % 1.04/1.26 (define @t24 () (tptp.l2_functor0 @t17 @t1 @t18)) % 1.04/1.26 (define @t25 () (tptp.l1_altcat_1 @t18)) % 1.04/1.26 (define @t26 () (tptp.l1_altcat_1 @t1)) % 1.04/1.26 (define @t27 () (and @t26 @t25 @t24)) % 1.04/1.26 (define @t28 () (@list @t1 @t18 @t17)) % 1.04/1.26 (define @t29 () (forall @t28 (=> @t27 @t23))) % 1.04/1.26 (define @t30 () (tptp.r2_hidden @t1 @t18)) % 1.04/1.26 (define @t31 () (@list @t1 @t18)) % 1.04/1.26 (define @t32 () (tptp.v1_xcmplx_0 @t18)) % 1.04/1.26 (define @t33 () (tptp.m1_subset_1 @t18 @t1)) % 1.04/1.26 (define @t34 () (@list @t18)) % 1.04/1.26 (define @t35 () (tptp.v1_membered @t1)) % 1.04/1.26 (define @t36 () (tptp.v1_xreal_0 @t18)) % 1.04/1.26 (define @t37 () (tptp.v2_membered @t1)) % 1.04/1.26 (define @t38 () (tptp.v1_rat_1 @t18)) % 1.04/1.26 (define @t39 () (tptp.v3_membered @t1)) % 1.04/1.26 (define @t40 () (tptp.v1_int_1 @t18)) % 1.04/1.26 (define @t41 () (tptp.v4_membered @t1)) % 1.04/1.26 (define @t42 () (tptp.v5_membered @t1)) % 1.04/1.26 (define @t43 () (tptp.v1_xboole_0 @t1)) % 1.04/1.26 (define @t44 () (tptp.v1_membered @t18)) % 1.04/1.26 (define @t45 () (tptp.m1_subset_1 @t18 (tptp.k1_zfmisc_1 @t1))) % 1.04/1.26 (define @t46 () (tptp.v2_membered @t18)) % 1.04/1.26 (define @t47 () (tptp.v3_membered @t18)) % 1.04/1.26 (define @t48 () (tptp.v4_membered @t18)) % 1.04/1.26 (define @t49 () (tptp.v1_finset_1 @t1)) % 1.04/1.26 (define @t50 () (tptp.v1_funct_1 @t1)) % 1.04/1.26 (define @t51 () (@var "F" $$unsorted)) % 1.04/1.26 (define @t52 () (@var "E" $$unsorted)) % 1.04/1.26 (define @t53 () (@var "D" $$unsorted)) % 1.04/1.26 (define @t54 () (tptp.m1_functor0 @t51 @t1 @t18 @t17 @t53 @t52)) % 1.04/1.26 (define @t55 () (@list @t51)) % 1.04/1.26 (define @t56 () (tptp.m1_pboole @t53 @t1)) % 1.04/1.26 (define @t57 () (tptp.m1_relset_1 @t17 @t1 @t18)) % 1.04/1.26 (define @t58 () (tptp.v1_funct_1 @t17)) % 1.04/1.26 (define @t59 () (and @t58 (tptp.v1_funct_2 @t17 @t1 @t18) @t57 @t56 (tptp.m1_pboole @t52 @t18))) % 1.04/1.26 (define @t60 () (@list @t1 @t18 @t17 @t53 @t52)) % 1.04/1.26 (define @t61 () (tptp.v12_functor0 @t17 @t1 @t18)) % 1.04/1.26 (define @t62 () (tptp.v8_functor0 @t17 @t1 @t18)) % 1.04/1.26 (define @t63 () (tptp.m2_functor0 @t17 @t1 @t18)) % 1.04/1.26 (define @t64 () (@list @t17)) % 1.04/1.26 (define @t65 () (tptp.l2_altcat_1 @t18)) % 1.04/1.26 (define @t66 () (tptp.v12_altcat_1 @t18)) % 1.04/1.26 (define @t67 () (tptp.v3_struct_0 @t18)) % 1.04/1.26 (define @t68 () (not @t67)) % 1.04/1.26 (define @t69 () (tptp.v12_altcat_1 @t1)) % 1.04/1.26 (define @t70 () (tptp.v2_altcat_1 @t1)) % 1.04/1.26 (define @t71 () (tptp.v3_struct_0 @t1)) % 1.04/1.26 (define @t72 () (not @t71)) % 1.04/1.26 (define @t73 () (and @t72 @t70 @t69 @t16 @t68 @t66 @t65)) % 1.04/1.26 (define @t74 () (tptp.k2_zfmisc_1 @t1 @t18)) % 1.04/1.26 (define @t75 () (tptp.m1_subset_1 @t17 (tptp.k1_zfmisc_1 @t74))) % 1.04/1.26 (define @t76 () (tptp.v2_yellow21 @t1)) % 1.04/1.26 (define @t77 () (tptp.v1_altcat_2 @t1)) % 1.04/1.26 (define @t78 () (tptp.v11_altcat_1 @t1)) % 1.04/1.26 (define @t79 () (tptp.v3_yellow21 @t1)) % 1.04/1.26 (define @t80 () (tptp.v1_finset_1 @t18)) % 1.04/1.26 (define @t81 () (tptp.v1_relat_1 @t1)) % 1.04/1.26 (define @t82 () (and @t81 @t50 (tptp.v2_funct_1 @t1))) % 1.04/1.26 (define @t83 () (and @t81 @t43 @t50)) % 1.04/1.26 (define @t84 () (tptp.v13_functor0 @t17 @t1 @t18)) % 1.04/1.26 (define @t85 () (tptp.v10_functor0 @t17 @t1 @t18)) % 1.04/1.26 (define @t86 () (tptp.v6_functor0 @t17 @t1 @t18)) % 1.04/1.26 (define @t87 () (tptp.v15_functor0 @t17 @t1 @t18)) % 1.04/1.26 (define @t88 () (not @t43)) % 1.04/1.26 (define @t89 () (forall @t9 (=> @t8 @t88))) % 1.04/1.26 (define @t90 () (tptp.v1_yellow21 @t1)) % 1.04/1.26 (define @t91 () (tptp.v4_yellow18 @t1)) % 1.04/1.26 (define @t92 () (tptp.v3_yellow18 @t1)) % 1.04/1.26 (define @t93 () (tptp.v2_yellow18 @t1)) % 1.04/1.26 (define @t94 () (tptp.v9_altcat_1 @t1)) % 1.04/1.26 (define @t95 () (tptp.l1_functor0 @t17 @t1 @t18)) % 1.04/1.26 (define @t96 () (tptp.l1_struct_0 @t18)) % 1.04/1.26 (define @t97 () (tptp.l1_struct_0 @t1)) % 1.04/1.26 (define @t98 () (and @t97 @t68 @t96)) % 1.04/1.26 (define @t99 () (tptp.v11_functor0 @t17 @t1 @t18)) % 1.04/1.26 (define @t100 () (tptp.v14_functor0 @t17 @t1 @t18)) % 1.04/1.26 (define @t101 () (tptp.v16_functor0 @t17 @t1 @t18)) % 1.04/1.26 (define @t102 () (tptp.g2_altcat_1 @t1 @t18 @t17)) % 1.04/1.26 (define @t103 () (tptp.k2_altcat_1 @t1 @t18)) % 1.04/1.26 (define @t104 () (tptp.k3_zfmisc_1 @t1 @t1 @t1)) % 1.04/1.26 (define @t105 () (tptp.k2_zfmisc_1 @t1 @t1)) % 1.04/1.26 (define @t106 () (tptp.m1_pboole @t18 @t105)) % 1.04/1.26 (define @t107 () (and @t106 (tptp.m3_pboole @t17 @t104 (tptp.k3_altcat_1 @t1 @t18 @t18) @t103))) % 1.04/1.26 (define @t108 () (tptp.g2_functor0 @t1 @t18 @t17 @t53)) % 1.04/1.26 (define @t109 () (tptp.u1_altcat_1 @t18)) % 1.04/1.26 (define @t110 () (tptp.u1_struct_0 @t18)) % 1.04/1.26 (define @t111 () (tptp.k2_zfmisc_1 @t110 @t110)) % 1.04/1.26 (define @t112 () (tptp.k2_zfmisc_1 @t14 @t14)) % 1.04/1.26 (define @t113 () (and @t26 @t25 @t58 (tptp.v1_funct_2 @t17 @t112 @t111) (tptp.m1_relset_1 @t17 @t112 @t111) (tptp.m1_functor0 @t53 @t112 @t111 @t17 @t13 @t109))) % 1.04/1.26 (define @t114 () (@list @t1 @t18 @t17 @t53)) % 1.04/1.26 (define @t115 () (tptp.k11_functor0 @t1)) % 1.04/1.26 (define @t116 () (tptp.v9_functor0 @t115 @t1 @t1)) % 1.04/1.26 (define @t117 () (tptp.k12_functor0 @t1)) % 1.04/1.26 (define @t118 () (and @t72 @t70 @t69 @t16)) % 1.04/1.26 (define @t119 () (tptp.k13_functor0 @t1 @t18 @t17 @t53 @t52)) % 1.04/1.26 (define @t120 () (tptp.v9_functor0 @t119 @t1 @t17)) % 1.04/1.26 (define @t121 () (tptp.l2_functor0 @t52 @t18 @t17)) % 1.04/1.26 (define @t122 () (tptp.l2_functor0 @t53 @t1 @t18)) % 1.04/1.26 (define @t123 () (tptp.v8_functor0 @t53 @t1 @t18)) % 1.04/1.26 (define @t124 () (tptp.l1_altcat_1 @t17)) % 1.04/1.26 (define @t125 () (tptp.v1_altcat_2 @t17)) % 1.04/1.26 (define @t126 () (not (tptp.v3_struct_0 @t17))) % 1.04/1.26 (define @t127 () (tptp.v1_altcat_2 @t18)) % 1.04/1.26 (define @t128 () (tptp.k15_functor0 @t1 @t18 @t17)) % 1.04/1.26 (define @t129 () (tptp.v2_yellow21 @t2)) % 1.04/1.26 (define @t130 () (tptp.v12_altcat_1 @t2)) % 1.04/1.26 (define @t131 () (tptp.v11_altcat_1 @t2)) % 1.04/1.26 (define @t132 () (tptp.v6_altcat_1 @t2)) % 1.04/1.26 (define @t133 () (tptp.v2_altcat_1 @t2)) % 1.04/1.26 (define @t134 () (not (tptp.v3_struct_0 @t2))) % 1.04/1.26 (define @t135 () (and @t134 @t133 @t132 @t131 @t130 @t129 (tptp.l2_altcat_1 @t2))) % 1.04/1.26 (define @t136 () (forall @t9 (=> @t88 @t135))) % 1.04/1.26 (define @t137 () (tptp.v2_yellow21 @t5)) % 1.04/1.26 (define @t138 () (tptp.v12_altcat_1 @t5)) % 1.04/1.26 (define @t139 () (tptp.v11_altcat_1 @t5)) % 1.04/1.26 (define @t140 () (tptp.v6_altcat_1 @t5)) % 1.04/1.26 (define @t141 () (tptp.v2_altcat_1 @t5)) % 1.04/1.26 (define @t142 () (not (tptp.v3_struct_0 @t5))) % 1.04/1.26 (define @t143 () (and @t142 @t141 @t140 @t139 @t138 @t137 (tptp.l2_altcat_1 @t5))) % 1.04/1.26 (define @t144 () (forall @t9 (=> @t88 @t143))) % 1.04/1.26 (define @t145 () (tptp.v16_functor0 @t4 @t2 @t5)) % 1.04/1.26 (define @t146 () (tptp.v9_functor0 @t4 @t2 @t5)) % 1.04/1.26 (define @t147 () (and @t146 @t145 (tptp.m2_functor0 @t4 @t2 @t5))) % 1.04/1.26 (define @t148 () (forall @t9 (=> @t8 @t147))) % 1.04/1.26 (define @t149 () (tptp.v16_functor0 @t3 @t5 @t2)) % 1.04/1.26 (define @t150 () (tptp.v9_functor0 @t3 @t5 @t2)) % 1.04/1.26 (define @t151 () (and @t150 @t149 (tptp.m2_functor0 @t3 @t5 @t2))) % 1.04/1.26 (define @t152 () (forall @t9 (=> @t8 @t151))) % 1.04/1.26 (define @t153 () (forall @t9 (=> @t16 @t26))) % 1.04/1.26 (define @t154 () (and @t26 @t25)) % 1.04/1.26 (define @t155 () (tptp.m1_pboole @t18 @t1)) % 1.04/1.26 (define @t156 () (forall @t64 (=> @t63 @t24))) % 1.04/1.26 (define @t157 () (=> @t73 @t156)) % 1.04/1.26 (define @t158 () (forall @t31 @t157)) % 1.04/1.26 (define @t159 () (tptp.m2_relset_1 @t17 @t1 @t18)) % 1.04/1.26 (define @t160 () (tptp.m3_pboole @t53 @t1 @t18 @t17)) % 1.04/1.26 (define @t161 () (@list @t53)) % 1.04/1.26 (define @t162 () (and @t155 (tptp.m1_pboole @t17 @t1))) % 1.04/1.26 (define @t163 () (tptp.v10_functor0 @t115 @t1 @t1)) % 1.04/1.26 (define @t164 () (tptp.v8_functor0 @t115 @t1 @t1)) % 1.04/1.26 (define @t165 () (and @t72 @t26)) % 1.04/1.26 (define @t166 () (and @t120 (tptp.v10_functor0 @t119 @t1 @t17))) % 1.04/1.26 (define @t167 () (tptp.v10_functor0 @t52 @t18 @t17)) % 1.04/1.26 (define @t168 () (tptp.v10_functor0 @t53 @t1 @t18)) % 1.04/1.26 (define @t169 () (and @t120 (tptp.v11_functor0 @t119 @t1 @t17))) % 1.04/1.26 (define @t170 () (tptp.v11_functor0 @t53 @t1 @t18)) % 1.04/1.26 (define @t171 () (tptp.v11_functor0 @t52 @t18 @t17)) % 1.04/1.26 (define @t172 () (and @t72 @t97)) % 1.04/1.26 (define @t173 () (and @t134 @t133 @t132 (tptp.v9_altcat_1 @t2) @t131 @t130 (tptp.v1_altcat_2 @t2) (tptp.v2_yellow18 @t2) (tptp.v3_yellow18 @t2) (tptp.v4_yellow18 @t2) (tptp.v1_yellow21 @t2) @t129 (tptp.v3_yellow21 @t2))) % 1.04/1.26 (define @t174 () (forall @t9 (=> @t8 @t173))) % 1.04/1.26 (define @t175 () (and @t142 @t141 @t140 (tptp.v9_altcat_1 @t5) @t139 @t138 (tptp.v1_altcat_2 @t5) (tptp.v2_yellow18 @t5) (tptp.v3_yellow18 @t5) (tptp.v4_yellow18 @t5) (tptp.v1_yellow21 @t5) @t137 (tptp.v3_yellow21 @t5))) % 1.04/1.26 (define @t176 () (forall @t9 (=> @t8 @t175))) % 1.04/1.26 (define @t177 () (and (tptp.v6_functor0 @t4 @t2 @t5) (tptp.v8_functor0 @t4 @t2 @t5) @t146 (tptp.v11_functor0 @t4 @t2 @t5) (tptp.v12_functor0 @t4 @t2 @t5) (tptp.v14_functor0 @t4 @t2 @t5) @t145 (tptp.v21_functor0 @t4 @t2 @t5))) % 1.04/1.26 (define @t178 () (forall @t9 (=> @t8 @t177))) % 1.04/1.26 (define @t179 () (and (tptp.v6_functor0 @t3 @t5 @t2) (tptp.v8_functor0 @t3 @t5 @t2) @t150 (tptp.v11_functor0 @t3 @t5 @t2) (tptp.v12_functor0 @t3 @t5 @t2) (tptp.v14_functor0 @t3 @t5 @t2) @t149 (tptp.v21_functor0 @t3 @t5 @t2))) % 1.04/1.26 (define @t180 () (forall @t9 (=> @t8 @t179))) % 1.04/1.26 (define @t181 () (@var "H" $$unsorted)) % 1.04/1.26 (define @t182 () (@var "G" $$unsorted)) % 1.04/1.26 (define @t183 () (tptp.v2_altcat_1 @t18)) % 1.04/1.26 (define @t184 () (tptp.v1_xboole_0 @t18)) % 1.04/1.26 (define @t185 () (not @t184)) % 1.04/1.26 (define @t186 () (and @t72 @t26 @t68 @t127 @t25)) % 1.04/1.26 (define @t187 () (tptp.k15_functor0 @t5 @t2 @t3)) % 1.04/1.26 (define @t188 () (tptp.k15_functor0 @t2 @t5 @t4)) % 1.04/1.26 (define @t189 () (and (= @t188 @t3) (= @t187 @t4))) % 1.04/1.26 (define @t190 () (=> @t8 @t189)) % 1.04/1.26 (define @t191 () (forall @t9 @t190)) % 1.04/1.26 (define @t192 () (tptp.m1_subset_1 @t1 @t18)) % 1.04/1.26 (define @t193 () (tptp.k12_functor0 @t18)) % 1.04/1.26 (define @t194 () (= (tptp.k13_functor0 @t18 @t1 @t18 @t53 @t17) @t193)) % 1.04/1.26 (define @t195 () (tptp.g2_functor0 @t18 @t1 (tptp.u1_functor0 @t18 @t1 @t53) (tptp.u2_functor0 @t18 @t1 @t53))) % 1.04/1.26 (define @t196 () (=> (= @t195 @t128) @t194)) % 1.04/1.26 (define @t197 () (tptp.l2_functor0 @t53 @t18 @t1)) % 1.04/1.26 (define @t198 () (tptp.v8_functor0 @t53 @t18 @t1)) % 1.04/1.26 (define @t199 () (and @t198 @t197)) % 1.04/1.26 (define @t200 () (=> @t199 @t196)) % 1.04/1.26 (define @t201 () (forall @t161 @t200)) % 1.04/1.26 (define @t202 () (tptp.v21_functor0 @t17 @t1 @t18)) % 1.04/1.26 (define @t203 () (=> @t202 @t201)) % 1.04/1.26 (define @t204 () (and @t62 @t24)) % 1.04/1.26 (define @t205 () (=> @t204 @t203)) % 1.04/1.26 (define @t206 () (forall @t64 @t205)) % 1.04/1.26 (define @t207 () (and @t68 @t183 @t66 @t127 @t65)) % 1.04/1.26 (define @t208 () (=> @t207 @t206)) % 1.04/1.26 (define @t209 () (forall @t34 @t208)) % 1.04/1.26 (define @t210 () (and @t72 @t70 @t69 @t77 @t16)) % 1.04/1.26 (define @t211 () (=> @t210 @t209)) % 1.04/1.26 (define @t212 () (forall @t9 @t211)) % 1.04/1.26 (define @t213 () (tptp.m1_subset_1 @t18 (tptp.k1_zfmisc_1 @t17))) % 1.04/1.26 (define @t214 () (not @t8)) % 1.04/1.26 (define @t215 () (@quantifiers_skolemize (forall @t9 (or @t7 @t6)) 0)) % 1.04/1.26 (define @t216 () (tptp.k4_waybel34 @t215)) % 1.04/1.26 (define @t217 () (tptp.k12_functor0 @t216)) % 1.04/1.26 (define @t218 () (tptp.k7_waybel34 @t215)) % 1.04/1.26 (define @t219 () (tptp.k6_waybel34 @t215)) % 1.04/1.26 (define @t220 () (tptp.k5_waybel34 @t215)) % 1.04/1.26 (define @t221 () (tptp.k13_functor0 @t216 @t220 @t216 @t219 @t218)) % 1.04/1.26 (define @t222 () (= @t221 @t217)) % 1.04/1.26 (define @t223 () (tptp.k12_functor0 @t220)) % 1.04/1.26 (define @t224 () (tptp.k13_functor0 @t220 @t216 @t220 @t218 @t219)) % 1.04/1.26 (define @t225 () (= @t224 @t223)) % 1.04/1.26 (define @t226 () (and @t225 @t222)) % 1.04/1.26 (define @t227 () (tptp.v2_setfam_1 @t215)) % 1.04/1.26 (define @t228 () (or @t227 @t226)) % 1.04/1.26 (define @t229 () (@list true)) % 1.04/1.26 (define @t230 () (@list @t228)) % 1.04/1.26 (define @t231 () (@var "BOUND_VARIABLE_9485" $$unsorted)) % 1.04/1.26 (define @t232 () (@var "BOUND_VARIABLE_9487" $$unsorted)) % 1.04/1.26 (define @t233 () (@var "BOUND_VARIABLE_9483" $$unsorted)) % 1.04/1.26 (define @t234 () (= (tptp.k12_functor0 @t233) (tptp.k13_functor0 @t233 @t1 @t233 @t232 @t231))) % 1.04/1.26 (define @t235 () (not (= (tptp.k15_functor0 @t1 @t233 @t231) (tptp.g2_functor0 @t233 @t1 (tptp.u1_functor0 @t233 @t1 @t232) (tptp.u2_functor0 @t233 @t1 @t232))))) % 1.04/1.26 (define @t236 () (not (tptp.l2_functor0 @t232 @t233 @t1))) % 1.04/1.26 (define @t237 () (not (tptp.v8_functor0 @t232 @t233 @t1))) % 1.04/1.26 (define @t238 () (not (tptp.v21_functor0 @t231 @t1 @t233))) % 1.04/1.26 (define @t239 () (not (tptp.l2_functor0 @t231 @t1 @t233))) % 1.04/1.26 (define @t240 () (not (tptp.v8_functor0 @t231 @t1 @t233))) % 1.04/1.26 (define @t241 () (not (tptp.l2_altcat_1 @t233))) % 1.04/1.26 (define @t242 () (not (tptp.v1_altcat_2 @t233))) % 1.04/1.26 (define @t243 () (not (tptp.v12_altcat_1 @t233))) % 1.04/1.26 (define @t244 () (not (tptp.v2_altcat_1 @t233))) % 1.04/1.26 (define @t245 () (tptp.v3_struct_0 @t233)) % 1.04/1.26 (define @t246 () (not @t16)) % 1.04/1.26 (define @t247 () (not @t77)) % 1.04/1.26 (define @t248 () (not @t69)) % 1.04/1.26 (define @t249 () (not @t70)) % 1.04/1.26 (define @t250 () (or @t71 @t249 @t248 @t247 @t246 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t234)) % 1.04/1.26 (define @t251 () (or @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t234)) % 1.04/1.26 (define @t252 () (or @t71 @t249 @t248 @t247 @t246 @t251)) % 1.04/1.26 (define @t253 () (@list @t1 @t233 @t231 @t232)) % 1.04/1.26 (define @t254 () (forall @t253 @t252)) % 1.04/1.26 (define @t255 () (@list @t233 @t231 @t232)) % 1.04/1.26 (define @t256 () (forall @t255 @t252)) % 1.04/1.26 (define @t257 () (forall @t255 @t251)) % 1.04/1.26 (define @t258 () (@var "BOUND_VARIABLE_9451" $$unsorted)) % 1.04/1.26 (define @t259 () (@var "BOUND_VARIABLE_9449" $$unsorted)) % 1.04/1.26 (define @t260 () (or @t71 @t249 @t248 @t247 @t246 @t257)) % 1.04/1.26 (define @t261 () (= @t193 (tptp.k13_functor0 @t18 @t1 @t18 @t258 @t259))) % 1.04/1.26 (define @t262 () (not (= (tptp.k15_functor0 @t1 @t18 @t259) (tptp.g2_functor0 @t18 @t1 (tptp.u1_functor0 @t18 @t1 @t258) (tptp.u2_functor0 @t18 @t1 @t258))))) % 1.04/1.26 (define @t263 () (not (tptp.l2_functor0 @t258 @t18 @t1))) % 1.04/1.26 (define @t264 () (not (tptp.v8_functor0 @t258 @t18 @t1))) % 1.04/1.26 (define @t265 () (not (tptp.v21_functor0 @t259 @t1 @t18))) % 1.04/1.26 (define @t266 () (not (tptp.l2_functor0 @t259 @t1 @t18))) % 1.04/1.26 (define @t267 () (not (tptp.v8_functor0 @t259 @t1 @t18))) % 1.04/1.26 (define @t268 () (not @t65)) % 1.04/1.26 (define @t269 () (not @t127)) % 1.04/1.26 (define @t270 () (not @t66)) % 1.04/1.26 (define @t271 () (not @t183)) % 1.04/1.26 (define @t272 () (or @t67 @t271 @t270 @t269 @t268 @t267 @t266 @t265 @t264 @t263 @t262 @t261)) % 1.04/1.26 (define @t273 () (@list @t18 @t259 @t258)) % 1.04/1.26 (define @t274 () (forall @t273 @t272)) % 1.04/1.26 (define @t275 () (or @t71 @t249 @t248 @t247 @t246 @t274)) % 1.04/1.26 (define @t276 () (not @t72)) % 1.04/1.26 (define @t277 () (or @t276 @t249 @t248 @t247 @t246)) % 1.04/1.26 (define @t278 () (or @t267 @t266 @t265 @t264 @t263 @t262 @t261)) % 1.04/1.26 (define @t279 () (or @t67 @t271 @t270 @t269 @t268 @t278)) % 1.04/1.26 (define @t280 () (forall @t273 @t279)) % 1.04/1.26 (define @t281 () (@list @t259 @t258)) % 1.04/1.26 (define @t282 () (forall @t281 @t279)) % 1.04/1.26 (define @t283 () (forall @t281 @t278)) % 1.04/1.26 (define @t284 () (@var "BOUND_VARIABLE_9422" $$unsorted)) % 1.04/1.26 (define @t285 () (or @t67 @t271 @t270 @t269 @t268 @t283)) % 1.04/1.26 (define @t286 () (tptp.k13_functor0 @t18 @t1 @t18 @t284 @t17)) % 1.04/1.26 (define @t287 () (not (= @t128 (tptp.g2_functor0 @t18 @t1 (tptp.u1_functor0 @t18 @t1 @t284) (tptp.u2_functor0 @t18 @t1 @t284))))) % 1.04/1.26 (define @t288 () (not (tptp.l2_functor0 @t284 @t18 @t1))) % 1.04/1.26 (define @t289 () (not (tptp.v8_functor0 @t284 @t18 @t1))) % 1.04/1.26 (define @t290 () (not @t202)) % 1.04/1.26 (define @t291 () (not @t24)) % 1.04/1.26 (define @t292 () (not @t62)) % 1.04/1.26 (define @t293 () (@list @t17 @t284)) % 1.04/1.26 (define @t294 () (forall @t293 (or @t292 @t291 @t290 @t289 @t288 @t287 (= @t193 @t286)))) % 1.04/1.26 (define @t295 () (or @t67 @t271 @t270 @t269 @t268 @t294)) % 1.04/1.26 (define @t296 () (not @t68)) % 1.04/1.26 (define @t297 () (or @t296 @t271 @t270 @t269 @t268)) % 1.04/1.26 (define @t298 () (= @t286 @t193)) % 1.04/1.26 (define @t299 () (or @t292 @t291 @t290 @t289 @t288 @t287 @t298)) % 1.04/1.26 (define @t300 () (or @t289 @t288 @t287 @t298)) % 1.04/1.26 (define @t301 () (or @t292 @t291 @t290 @t300)) % 1.04/1.26 (define @t302 () (forall @t293 @t301)) % 1.04/1.26 (define @t303 () (@list @t284)) % 1.04/1.26 (define @t304 () (forall @t303 @t301)) % 1.04/1.26 (define @t305 () (forall @t303 @t300)) % 1.04/1.26 (define @t306 () (or @t292 @t291 @t290 @t305)) % 1.04/1.26 (define @t307 () (= @t128 @t195)) % 1.04/1.26 (define @t308 () (not @t307)) % 1.04/1.26 (define @t309 () (not @t197)) % 1.04/1.26 (define @t310 () (not @t198)) % 1.04/1.26 (define @t311 () (or @t310 @t309 @t308 @t194)) % 1.04/1.26 (define @t312 () (forall @t161 @t311)) % 1.04/1.26 (define @t313 () (or @t292 @t291 @t290 @t312)) % 1.04/1.26 (define @t314 () (=> @t202 @t312)) % 1.04/1.26 (define @t315 () (=> @t307 @t194)) % 1.04/1.26 (define @t316 () (tptp.g2_functor0 @t220 @t216 (tptp.u1_functor0 @t220 @t216 @t218) (tptp.u2_functor0 @t220 @t216 @t218))) % 1.04/1.26 (define @t317 () (tptp.k15_functor0 @t216 @t220 @t219)) % 1.04/1.26 (define @t318 () (= @t317 @t316)) % 1.04/1.26 (define @t319 () (not @t318)) % 1.04/1.26 (define @t320 () (tptp.l2_functor0 @t218 @t220 @t216)) % 1.04/1.26 (define @t321 () (not @t320)) % 1.04/1.26 (define @t322 () (tptp.v8_functor0 @t218 @t220 @t216)) % 1.04/1.26 (define @t323 () (not @t322)) % 1.04/1.26 (define @t324 () (tptp.v21_functor0 @t219 @t216 @t220)) % 1.04/1.26 (define @t325 () (not @t324)) % 1.04/1.26 (define @t326 () (tptp.l2_functor0 @t219 @t216 @t220)) % 1.04/1.26 (define @t327 () (not @t326)) % 1.04/1.26 (define @t328 () (tptp.v8_functor0 @t219 @t216 @t220)) % 1.04/1.26 (define @t329 () (not @t328)) % 1.04/1.26 (define @t330 () (tptp.l2_altcat_1 @t220)) % 1.04/1.26 (define @t331 () (not @t330)) % 1.04/1.26 (define @t332 () (tptp.v1_altcat_2 @t220)) % 1.04/1.26 (define @t333 () (not @t332)) % 1.04/1.26 (define @t334 () (tptp.v12_altcat_1 @t220)) % 1.04/1.26 (define @t335 () (not @t334)) % 1.04/1.26 (define @t336 () (tptp.v2_altcat_1 @t220)) % 1.04/1.26 (define @t337 () (not @t336)) % 1.04/1.26 (define @t338 () (tptp.v3_struct_0 @t220)) % 1.04/1.26 (define @t339 () (tptp.l2_altcat_1 @t216)) % 1.04/1.26 (define @t340 () (not @t339)) % 1.04/1.26 (define @t341 () (tptp.v1_altcat_2 @t216)) % 1.04/1.26 (define @t342 () (not @t341)) % 1.04/1.26 (define @t343 () (tptp.v12_altcat_1 @t216)) % 1.04/1.26 (define @t344 () (not @t343)) % 1.04/1.26 (define @t345 () (tptp.v2_altcat_1 @t216)) % 1.04/1.26 (define @t346 () (not @t345)) % 1.04/1.26 (define @t347 () (tptp.v3_struct_0 @t216)) % 1.04/1.26 (define @t348 () (or @t347 @t346 @t344 @t342 @t340 @t338 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 (= @t223 @t224))) % 1.04/1.26 (define @t349 () (forall @t253 @t250)) % 1.04/1.26 (define @t350 () (or @t347 @t346 @t344 @t342 @t340 @t338 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t225)) % 1.04/1.26 (define @t351 () (@list false)) % 1.04/1.26 (define @t352 () (@list @t349)) % 1.04/1.26 (define @t353 () (not @t22)) % 1.04/1.26 (define @t354 () (not @t25)) % 1.04/1.26 (define @t355 () (not @t26)) % 1.04/1.26 (define @t356 () (or @t355 @t354 @t291)) % 1.04/1.26 (define @t357 () (@list @t220 @t216 @t218)) % 1.04/1.26 (define @t358 () (@list @t215)) % 1.04/1.26 (define @t359 () (tptp.m2_functor0 @t218 @t220 @t216)) % 1.04/1.26 (define @t360 () (tptp.v16_functor0 @t218 @t220 @t216)) % 1.04/1.26 (define @t361 () (tptp.v9_functor0 @t218 @t220 @t216)) % 1.04/1.26 (define @t362 () (and @t361 @t360 @t359)) % 1.04/1.26 (define @t363 () (or @t227 @t362)) % 1.04/1.26 (define @t364 () (@list true false)) % 1.04/1.26 (define @t365 () (not @t362)) % 1.04/1.26 (define @t366 () (@list @t362)) % 1.04/1.26 (define @t367 () (@var "BOUND_VARIABLE_8923" $$unsorted)) % 1.04/1.26 (define @t368 () (tptp.l2_functor0 @t367 @t1 @t18)) % 1.04/1.26 (define @t369 () (not (tptp.m2_functor0 @t367 @t1 @t18))) % 1.04/1.26 (define @t370 () (or @t369 @t368)) % 1.04/1.26 (define @t371 () (or @t71 @t249 @t248 @t246 @t67 @t270 @t268 @t370)) % 1.04/1.26 (define @t372 () (forall (@list @t1 @t18 @t367) @t371)) % 1.04/1.26 (define @t373 () (@list @t367)) % 1.04/1.26 (define @t374 () (forall @t373 @t371)) % 1.04/1.26 (define @t375 () (forall @t373 @t370)) % 1.04/1.26 (define @t376 () (or @t71 @t249 @t248 @t246 @t67 @t270 @t268 @t375)) % 1.04/1.26 (define @t377 () (forall @t64 (or (not @t63) @t24))) % 1.04/1.26 (define @t378 () (or @t71 @t249 @t248 @t246 @t67 @t270 @t268 @t377)) % 1.04/1.26 (define @t379 () (or @t276 @t249 @t248 @t246 @t296 @t270 @t268)) % 1.04/1.26 (define @t380 () (not @t88)) % 1.04/1.26 (define @t381 () (tptp.v1_xboole_0 @t215)) % 1.04/1.26 (define @t382 () (not @t381)) % 1.04/1.26 (define @t383 () (or @t227 @t382)) % 1.04/1.26 (define @t384 () (tptp.v2_yellow21 @t216)) % 1.04/1.26 (define @t385 () (tptp.v11_altcat_1 @t216)) % 1.04/1.26 (define @t386 () (tptp.v6_altcat_1 @t216)) % 1.04/1.26 (define @t387 () (not @t347)) % 1.04/1.26 (define @t388 () (and @t387 @t345 @t386 @t385 @t343 @t384 @t339)) % 1.04/1.26 (define @t389 () (or @t381 @t388)) % 1.04/1.26 (define @t390 () (and @t387 @t345 @t386 (tptp.v9_altcat_1 @t216) @t385 @t343 @t341 (tptp.v2_yellow18 @t216) (tptp.v3_yellow18 @t216) (tptp.v4_yellow18 @t216) (tptp.v1_yellow21 @t216) @t384 (tptp.v3_yellow21 @t216))) % 1.04/1.26 (define @t391 () (or @t227 @t390)) % 1.04/1.26 (define @t392 () (not @t390)) % 1.04/1.26 (define @t393 () (@list @t390)) % 1.04/1.26 (define @t394 () (tptp.v2_yellow21 @t220)) % 1.04/1.26 (define @t395 () (tptp.v11_altcat_1 @t220)) % 1.04/1.26 (define @t396 () (tptp.v6_altcat_1 @t220)) % 1.04/1.26 (define @t397 () (not @t338)) % 1.04/1.26 (define @t398 () (and @t397 @t336 @t396 @t395 @t334 @t394 @t330)) % 1.04/1.26 (define @t399 () (or @t381 @t398)) % 1.04/1.26 (define @t400 () (and @t397 @t336 @t396 (tptp.v9_altcat_1 @t220) @t395 @t334 @t332 (tptp.v2_yellow18 @t220) (tptp.v3_yellow18 @t220) (tptp.v4_yellow18 @t220) (tptp.v1_yellow21 @t220) @t394 (tptp.v3_yellow21 @t220))) % 1.04/1.26 (define @t401 () (or @t227 @t400)) % 1.04/1.26 (define @t402 () (not @t400)) % 1.04/1.26 (define @t403 () (@list @t400)) % 1.04/1.26 (define @t404 () (not @t359)) % 1.04/1.26 (define @t405 () (or @t338 @t337 @t335 @t331 @t347 @t344 @t340 @t404 @t320)) % 1.04/1.26 (define @t406 () (tptp.l1_altcat_1 @t216)) % 1.04/1.26 (define @t407 () (or @t340 @t406)) % 1.04/1.26 (define @t408 () (@list false false)) % 1.04/1.26 (define @t409 () (tptp.l1_altcat_1 @t220)) % 1.04/1.26 (define @t410 () (or @t331 @t409)) % 1.04/1.26 (define @t411 () (= @t218 @t316)) % 1.04/1.26 (define @t412 () (not @t361)) % 1.04/1.26 (define @t413 () (not @t406)) % 1.04/1.26 (define @t414 () (not @t409)) % 1.04/1.26 (define @t415 () (or @t414 @t413 @t321 @t412 @t411)) % 1.04/1.26 (define @t416 () (@list false false false false false)) % 1.04/1.26 (define @t417 () (and (= @t3 @t188) (= @t4 @t187))) % 1.04/1.26 (define @t418 () (tptp.k15_functor0 @t220 @t216 @t218)) % 1.04/1.26 (define @t419 () (= @t219 @t418)) % 1.04/1.26 (define @t420 () (= @t218 @t317)) % 1.04/1.26 (define @t421 () (and @t420 @t419)) % 1.04/1.26 (define @t422 () (or @t227 @t421)) % 1.04/1.26 (define @t423 () (not @t421)) % 1.04/1.26 (define @t424 () (@list @t421)) % 1.04/1.26 (define @t425 () (tptp.v16_functor0 @t219 @t216 @t220)) % 1.04/1.26 (define @t426 () (tptp.v9_functor0 @t219 @t216 @t220)) % 1.04/1.26 (define @t427 () (and (tptp.v6_functor0 @t219 @t216 @t220) @t328 @t426 (tptp.v11_functor0 @t219 @t216 @t220) (tptp.v12_functor0 @t219 @t216 @t220) (tptp.v14_functor0 @t219 @t216 @t220) @t425 @t324)) % 1.04/1.26 (define @t428 () (or @t227 @t427)) % 1.04/1.26 (define @t429 () (not @t427)) % 1.04/1.26 (define @t430 () (@list @t427)) % 1.04/1.26 (define @t431 () (@list @t216 @t220 @t219)) % 1.04/1.26 (define @t432 () (tptp.m2_functor0 @t219 @t216 @t220)) % 1.04/1.26 (define @t433 () (and @t426 @t425 @t432)) % 1.04/1.26 (define @t434 () (or @t227 @t433)) % 1.04/1.26 (define @t435 () (not @t433)) % 1.04/1.26 (define @t436 () (@list @t433)) % 1.04/1.26 (define @t437 () (not @t432)) % 1.04/1.26 (define @t438 () (or @t347 @t346 @t344 @t340 @t338 @t335 @t331 @t437 @t326)) % 1.04/1.26 (define @t439 () (tptp.v21_functor0 @t218 @t220 @t216)) % 1.04/1.26 (define @t440 () (and (tptp.v6_functor0 @t218 @t220 @t216) @t322 @t361 (tptp.v11_functor0 @t218 @t220 @t216) (tptp.v12_functor0 @t218 @t220 @t216) (tptp.v14_functor0 @t218 @t220 @t216) @t360 @t439)) % 1.04/1.26 (define @t441 () (or @t227 @t440)) % 1.04/1.26 (define @t442 () (not @t440)) % 1.04/1.26 (define @t443 () (@list @t440)) % 1.04/1.26 (define @t444 () (@list true false false false true false false false false false false false false false false false false)) % 1.04/1.26 (define @t445 () (tptp.g2_functor0 @t216 @t220 (tptp.u1_functor0 @t216 @t220 @t219) (tptp.u2_functor0 @t216 @t220 @t219))) % 1.04/1.26 (define @t446 () (= @t418 @t445)) % 1.04/1.26 (define @t447 () (not @t446)) % 1.04/1.26 (define @t448 () (not @t439)) % 1.04/1.26 (define @t449 () (or @t338 @t337 @t335 @t333 @t331 @t347 @t346 @t344 @t342 @t340 @t323 @t321 @t448 @t329 @t327 @t447 (= @t217 @t221))) % 1.04/1.26 (define @t450 () (or @t338 @t337 @t335 @t333 @t331 @t347 @t346 @t344 @t342 @t340 @t323 @t321 @t448 @t329 @t327 @t447 @t222)) % 1.04/1.26 (define @t451 () (= @t219 @t445)) % 1.04/1.26 (define @t452 () (not @t426)) % 1.04/1.26 (define @t453 () (or @t413 @t414 @t327 @t452 @t451)) % 1.04/1.26 (assume @p1 @t11) % 1.04/1.26 (assume @p2 (forall @t9 (=> @t16 (=> @t15 (= @t1 (tptp.g2_altcat_1 @t14 @t13 @t12)))))) % 1.04/1.26 (assume @p3 @t29) % 1.04/1.26 (assume @p4 (forall @t31 (=> @t30 (not (tptp.r2_hidden @t18 @t1))))) % 1.04/1.26 (assume @p5 (forall @t9 (=> @t35 (forall @t34 (=> @t33 @t32))))) % 1.04/1.26 (assume @p6 (forall @t9 (=> @t37 (forall @t34 (=> @t33 (and @t32 @t36)))))) % 1.04/1.26 (assume @p7 (forall @t9 (=> @t39 (forall @t34 (=> @t33 (and @t32 @t36 @t38)))))) % 1.04/1.26 (assume @p8 (forall @t9 (=> @t41 (forall @t34 (=> @t33 (and @t32 @t36 @t40 @t38)))))) % 1.04/1.26 (assume @p9 (forall @t9 (=> @t42 (forall @t34 (=> @t33 (and @t32 (tptp.v4_ordinal2 @t18) @t36 @t40 @t38)))))) % 1.04/1.26 (assume @p10 (forall @t9 (=> @t43 (and @t35 @t37 @t39 @t41 @t42)))) % 1.04/1.26 (assume @p11 (forall @t9 (=> @t35 (forall @t34 (=> @t45 @t44))))) % 1.04/1.26 (assume @p12 (forall @t9 (=> @t37 (forall @t34 (=> @t45 (and @t44 @t46)))))) % 1.04/1.26 (assume @p13 (forall @t9 (=> @t39 (forall @t34 (=> @t45 (and @t44 @t46 @t47)))))) % 1.04/1.26 (assume @p14 (forall @t9 (=> @t41 (forall @t34 (=> @t45 (and @t44 @t46 @t47 @t48)))))) % 1.04/1.26 (assume @p15 (forall @t9 (=> @t43 @t49))) % 1.04/1.26 (assume @p16 (forall @t9 (=> @t43 @t50))) % 1.04/1.26 (assume @p17 (forall @t60 (=> @t59 (forall @t55 (=> @t54 (tptp.v1_funcop_1 @t51)))))) % 1.04/1.26 (assume @p18 (forall @t31 (=> @t73 (forall @t64 (=> @t63 (and @t62 @t61)))))) % 1.04/1.26 (assume @p19 (forall @t9 (=> @t42 @t41))) % 1.04/1.26 (assume @p20 (forall @t28 (=> @t75 (tptp.v1_relat_1 @t17)))) % 1.04/1.26 (assume @p21 (forall @t9 (=> @t16 (=> (and @t72 @t70 @t78 @t69 @t79) (and @t72 @t70 @t78 @t69 @t77 @t76))))) % 1.04/1.26 (assume @p22 (forall @t9 (=> @t42 (forall @t34 (=> @t45 (and @t44 @t46 @t47 @t48 (tptp.v5_membered @t18))))))) % 1.04/1.26 (assume @p23 (forall @t9 (=> @t49 (forall @t34 (=> @t45 @t80))))) % 1.04/1.26 (assume @p24 (forall @t9 (=> @t83 @t82))) % 1.04/1.26 (assume @p25 (forall @t9 (=> @t16 (=> (and @t72 @t69) (and @t72 @t77))))) % 1.04/1.26 (assume @p26 (forall @t31 (=> @t73 (forall @t64 (=> @t63 (=> @t87 (and @t86 @t62 @t85 @t61 @t84))))))) % 1.04/1.26 (assume @p27 (forall @t9 (=> @t41 @t39))) % 1.04/1.26 (assume @p28 @t89) % 1.04/1.26 (assume @p29 (forall @t9 (=> @t16 (=> (and @t72 @t70 @t78 @t69 @t76) (and @t72 @t70 @t94 @t78 @t69 @t77 @t93 @t92 @t91 @t90))))) % 1.04/1.26 (assume @p30 (forall @t31 (=> @t98 (forall @t64 (=> @t95 (=> @t85 @t86)))))) % 1.04/1.26 (assume @p31 (forall @t31 (=> @t73 (forall @t64 (=> @t63 (=> (and @t85 @t84) (and @t86 @t62 @t61 @t87))))))) % 1.04/1.26 (assume @p32 (forall @t9 (=> @t39 @t37))) % 1.04/1.26 (assume @p33 (forall @t31 (=> @t98 (forall @t64 (=> @t95 (=> @t99 @t86)))))) % 1.04/1.26 (assume @p34 (forall @t31 (=> @t73 (forall @t64 (=> @t63 (=> @t101 (and @t86 @t62 @t99 @t61 @t100))))))) % 1.04/1.26 (assume @p35 (forall @t9 (=> @t37 @t35))) % 1.04/1.26 (assume @p36 (forall @t31 (=> @t73 (forall @t64 (=> @t63 (=> @t87 @t86)))))) % 1.04/1.26 (assume @p37 (forall @t31 (=> @t73 (forall @t64 (=> @t63 (=> (and @t99 @t100) (and @t86 @t62 @t61 @t101))))))) % 1.04/1.26 (assume @p38 (forall @t31 (=> @t73 (forall @t64 (=> @t63 (=> @t101 @t86)))))) % 1.04/1.26 (assume @p39 (forall @t28 (=> @t107 (and (tptp.v6_altcat_1 @t102) (tptp.l2_altcat_1 @t102))))) % 1.04/1.26 (assume @p40 (forall @t114 (=> @t113 (and (tptp.v9_functor0 @t108 @t1 @t18) (tptp.l2_functor0 @t108 @t1 @t18))))) % 1.04/1.26 (assume @p41 (forall @t9 (=> @t26 (and @t116 (tptp.l2_functor0 @t115 @t1 @t1))))) % 1.04/1.26 (assume @p42 (forall @t9 (=> @t118 (and (tptp.v9_functor0 @t117 @t1 @t1) (tptp.v15_functor0 @t117 @t1 @t1) (tptp.m2_functor0 @t117 @t1 @t1))))) % 1.04/1.26 (assume @p43 (forall @t60 (=> (and @t72 @t26 @t68 @t127 @t25 @t126 @t125 @t124 @t123 @t122 @t121) (and @t120 (tptp.l2_functor0 @t119 @t1 @t17))))) % 1.04/1.26 (assume @p44 (forall @t28 (=> (and @t72 @t26 @t68 @t25 @t24) (and (tptp.v9_functor0 @t128 @t18 @t1) (tptp.l2_functor0 @t128 @t18 @t1))))) % 1.04/1.26 (assume @p45 true) % 1.04/1.26 (assume @p46 (forall @t31 (=> @t106 (tptp.m1_pboole @t103 @t104)))) % 1.04/1.26 (assume @p47 (forall @t28 (=> (and @t106 (tptp.m1_pboole @t17 @t105)) (tptp.m1_pboole (tptp.k3_altcat_1 @t1 @t18 @t17) @t104)))) % 1.04/1.26 (assume @p48 @t136) % 1.04/1.26 (assume @p49 @t144) % 1.04/1.26 (assume @p50 @t148) % 1.04/1.26 (assume @p51 @t152) % 1.04/1.26 (assume @p52 (forall @t9 (=> @t26 @t97))) % 1.04/1.26 (assume @p53 @t153) % 1.04/1.26 (assume @p54 (forall @t31 (=> @t154 (forall @t64 (=> @t24 @t95))))) % 1.04/1.26 (assume @p55 (forall @t60 (=> @t59 (forall @t55 (=> @t54 (tptp.m1_pboole @t51 @t1)))))) % 1.04/1.26 (assume @p56 (forall @t31 (=> @t155 (and (tptp.v1_relat_1 @t18) (tptp.v1_funct_1 @t18))))) % 1.04/1.26 (assume @p57 @t158) % 1.04/1.26 (assume @p58 (forall @t28 (=> @t159 @t75))) % 1.04/1.26 (assume @p59 (forall @t28 (=> @t162 (forall @t161 (=> @t160 @t56))))) % 1.04/1.26 (assume @p60 (forall @t9 (=> @t26 (tptp.m1_pboole @t13 @t112)))) % 1.04/1.26 (assume @p61 (forall @t28 (=> (and @t97 @t96 @t95) (and (tptp.v1_funct_1 @t20) (tptp.v1_funct_2 @t20 @t112 @t111) (tptp.m2_relset_1 @t20 @t112 @t111))))) % 1.04/1.26 (assume @p62 (forall @t9 (=> @t16 (tptp.m3_pboole @t12 (tptp.k3_zfmisc_1 @t14 @t14 @t14) (tptp.k3_altcat_1 @t14 @t13 @t13) (tptp.k2_altcat_1 @t14 @t13))))) % 1.04/1.26 (assume @p63 (forall @t28 (=> @t27 (tptp.m1_functor0 @t19 @t112 @t111 @t20 @t13 @t109)))) % 1.04/1.26 (assume @p64 (exists @t9 @t26)) % 1.04/1.26 (assume @p65 (forall @t31 (=> (and @t97 @t96) (exists @t64 @t95)))) % 1.04/1.26 (assume @p66 (exists @t9 @t97)) % 1.04/1.26 (assume @p67 (exists @t9 @t16)) % 1.04/1.26 (assume @p68 (forall @t31 (=> @t154 (exists @t64 @t24)))) % 1.04/1.26 (assume @p69 (forall @t60 (=> @t59 (exists @t55 @t54)))) % 1.04/1.26 (assume @p70 (forall @t9 (exists @t34 @t155))) % 1.04/1.26 (assume @p71 (forall @t31 (exists @t64 @t57))) % 1.04/1.26 (assume @p72 (forall @t9 (exists @t34 @t33))) % 1.04/1.26 (assume @p73 (forall @t31 (=> @t73 (exists @t64 @t63)))) % 1.04/1.26 (assume @p74 (forall @t31 (exists @t64 @t159))) % 1.04/1.26 (assume @p75 (forall @t28 (=> @t162 (exists @t161 @t160)))) % 1.04/1.26 (assume @p76 (forall @t9 (=> @t165 (and @t164 @t116 @t163)))) % 1.04/1.26 (assume @p77 (forall @t31 (=> (and @t49 @t80) (tptp.v1_finset_1 @t74)))) % 1.04/1.26 (assume @p78 (forall @t9 (=> @t118 (and @t164 @t116 @t163 (tptp.v12_functor0 @t115 @t1 @t1) (tptp.v13_functor0 @t115 @t1 @t1))))) % 1.04/1.26 (assume @p79 (forall @t28 (=> (and @t49 @t80 (tptp.v1_finset_1 @t17)) (tptp.v1_finset_1 (tptp.k3_zfmisc_1 @t1 @t18 @t17))))) % 1.04/1.26 (assume @p80 (forall @t9 (=> @t26 (and @t116 (tptp.v21_functor0 @t115 @t1 @t1))))) % 1.04/1.26 (assume @p81 (forall @t60 (=> (and @t72 @t26 @t68 @t127 @t25 @t126 @t125 @t124 @t123 @t168 @t122 @t167 @t121) @t166))) % 1.04/1.26 (assume @p82 (forall @t60 (=> (and @t72 @t26 @t68 @t127 @t25 @t126 @t125 @t124 @t123 @t170 @t122 @t167 @t121) @t169))) % 1.04/1.26 (assume @p83 (forall @t60 (=> (and @t72 @t26 @t68 @t127 @t25 @t126 @t125 @t124 @t123 @t168 @t122 @t171 @t121) @t169))) % 1.04/1.26 (assume @p84 (forall @t60 (=> (and @t72 @t26 @t68 @t127 @t25 @t126 @t125 @t124 @t123 @t170 @t122 @t171 @t121) @t166))) % 1.04/1.26 (assume @p85 (forall @t9 (=> @t172 (not (tptp.v1_xboole_0 @t14))))) % 1.04/1.26 (assume @p86 (forall @t60 (=> (and @t72 @t26 @t68 @t127 @t25 @t126 @t125 @t124 @t123 @t122 (tptp.v8_functor0 @t52 @t18 @t17) @t121) (and (tptp.v8_functor0 @t119 @t1 @t17) @t120)))) % 1.04/1.26 (assume @p87 (forall @t60 (=> (and @t72 @t69 @t16 @t68 @t66 @t65 @t126 (tptp.v12_altcat_1 @t17) (tptp.l2_altcat_1 @t17) (tptp.v6_functor0 @t53 @t1 @t18) @t123 (tptp.v12_functor0 @t53 @t1 @t18) @t122 (tptp.v12_functor0 @t52 @t18 @t17) @t121) (and @t120 (tptp.v12_functor0 @t119 @t1 @t17))))) % 1.04/1.26 (assume @p88 @t174) % 1.04/1.26 (assume @p89 (and (tptp.v1_xboole_0 tptp.k1_xboole_0) (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0))) % 1.04/1.26 (assume @p90 @t176) % 1.04/1.26 (assume @p91 (forall @t28 (=> @t27 (and (tptp.v1_relat_1 @t19) (tptp.v1_funct_1 @t19) (tptp.v1_funcop_1 @t19))))) % 1.04/1.26 (assume @p92 @t178) % 1.04/1.26 (assume @p93 @t180) % 1.04/1.26 (assume @p94 (forall @t28 (=> @t107 (forall (@list @t53 @t52 @t51) (=> (= @t102 (tptp.g2_altcat_1 @t53 @t52 @t51)) (and (= @t1 @t53) (= @t18 @t52) (= @t17 @t51))))))) % 1.04/1.26 (assume @p95 (forall @t114 (=> @t113 (forall (@list @t52 @t51 @t182 @t181) (=> (= @t108 (tptp.g2_functor0 @t52 @t51 @t182 @t181)) (and (= @t1 @t52) (= @t18 @t51) (= @t17 @t182) (= @t53 @t181))))))) % 1.04/1.26 (assume @p96 (forall @t31 (=> (and @t72 @t70 @t69 @t16 @t68 @t183 @t66 @t65) (exists @t64 (and @t63 @t62 @t22 @t87 @t101))))) % 1.04/1.26 (assume @p97 (forall @t9 (=> @t165 (exists @t34 (and (tptp.l2_functor0 @t18 @t1 @t1) (tptp.v8_functor0 @t18 @t1 @t1) (tptp.v10_functor0 @t18 @t1 @t1)))))) % 1.04/1.26 (assume @p98 (exists @t9 (and @t88 @t49))) % 1.04/1.26 (assume @p99 (exists @t9 (and @t81 @t50))) % 1.04/1.26 (assume @p100 (exists @t9 (and @t88 @t35 @t37 @t39 @t41 @t42))) % 1.04/1.26 (assume @p101 (exists @t9 (and @t16 @t72 @t70 @t15 @t94 @t78 @t69 @t77 @t93 @t92 @t91 @t90 @t76 @t79))) % 1.04/1.26 (assume @p102 (exists @t9 @t83)) % 1.04/1.26 (assume @p103 (exists @t9 @t8)) % 1.04/1.26 (assume @p104 (forall @t9 (=> @t88 (exists @t34 (and @t45 @t185 @t80))))) % 1.04/1.26 (assume @p105 (exists @t9 @t82)) % 1.04/1.26 (assume @p106 (forall @t31 (=> @t154 (exists @t64 (and @t24 @t22))))) % 1.04/1.26 (assume @p107 (forall @t9 (=> @t8 (exists @t34 (and @t33 @t185))))) % 1.04/1.26 (assume @p108 (exists @t9 (and @t97 @t72))) % 1.04/1.26 (assume @p109 (forall @t31 (=> @t154 (exists @t64 (and @t24 @t85))))) % 1.04/1.26 (assume @p110 (forall @t31 (=> @t154 (exists @t64 (and @t24 @t99))))) % 1.04/1.26 (assume @p111 (forall @t9 (=> @t172 (exists @t34 (and (tptp.m1_subset_1 @t18 (tptp.k1_zfmisc_1 @t14)) @t185))))) % 1.04/1.26 (assume @p112 (forall @t31 (=> @t186 (exists @t64 (and @t24 @t62 @t85 @t99))))) % 1.04/1.26 (assume @p113 (exists @t9 (and @t16 @t72 @t77))) % 1.04/1.26 (assume @p114 (forall @t31 (=> @t186 (exists @t64 (and @t24 @t86 @t62))))) % 1.04/1.26 (assume @p115 (forall @t31 (=> (and @t72 @t69 @t16 @t68 @t66 @t65) (exists @t64 (and @t24 @t86 @t62 @t22 @t61))))) % 1.04/1.26 (assume @p116 (forall @t9 (=> @t118 (= @t117 @t115)))) % 1.04/1.26 (assume @p117 (forall @t28 (= @t159 @t57))) % 1.04/1.26 (assume @p118 (forall @t31 (tptp.r1_tarski @t1 @t1))) % 1.04/1.26 (assume @p119 @t191) % 1.04/1.26 (assume @p120 (forall @t31 (=> @t30 @t192))) % 1.04/1.26 (assume @p121 @t212) % 1.04/1.26 (assume @p122 (forall @t31 (=> @t192 (or @t184 @t30)))) % 1.04/1.26 (assume @p123 (forall @t31 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t18)) (tptp.r1_tarski @t1 @t18)))) % 1.04/1.26 (assume @p124 (forall @t28 (=> (and @t30 @t213) (tptp.m1_subset_1 @t1 @t17)))) % 1.04/1.26 (assume @p125 (forall @t28 (not (and @t30 @t213 (tptp.v1_xboole_0 @t17))))) % 1.04/1.26 (assume @p126 (forall @t9 (=> @t43 (= @t1 tptp.k1_xboole_0)))) % 1.04/1.26 (assume @p127 (forall @t31 (not (and @t30 @t184)))) % 1.04/1.26 (assume @p128 (forall @t31 (not (and @t43 (not (= @t1 @t18)) @t184)))) % 1.04/1.26 (step @p129 :rule refl :args (@t6)) % 1.04/1.26 (step @p130 :rule bool-double-not-elim :args (@t7)) % 1.04/1.26 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or @t214 @t6))) % 1.04/1.26 (step @p132 :rule bool-impl-elim :args (@t8 @t6)) % 1.04/1.26 (step @p133 :rule trans :premises (@p132 @p131)) % 1.04/1.26 (step @p134 :rule cong :premises (@p133) :args (@t10)) % 1.04/1.26 (step @p135 :rule cong :premises (@p134) :args (@t11)) % 1.04/1.26 (step @p136 :rule eq_resolve :premises (@p1 @p135)) % 1.04/1.26 (step @p137 :rule skolemize :premises (@p136)) % 1.04/1.26 (step @p138 :rule cnf_or_neg :args (@t228 1)) % 1.04/1.26 (step @p139 :rule chain_m_resolution :premises (@p138 @p137) :args ((not @t226) @t229 @t230)) % 1.04/1.26 (step @p140 :rule aci_norm :args ((= @t252 @t250))) % 1.04/1.26 (step @p141 :rule cong :premises (@p140) :args (@t254)) % 1.04/1.26 (step @p142 :rule quant-merge-prenex :args ((= (forall @t9 @t256) @t254))) % 1.04/1.26 (step @p143 :rule alpha_equiv :args (@t257 (@list @t233 @t231 @t232) (@list @t18 @t259 @t258))) % 1.04/1.26 (step @p144 :rule refl :args (@t246)) % 1.04/1.26 (step @p145 :rule refl :args (@t247)) % 1.04/1.26 (step @p146 :rule refl :args (@t248)) % 1.04/1.26 (step @p147 :rule refl :args (@t249)) % 1.04/1.26 (step @p148 :rule refl :args (@t71)) % 1.04/1.26 (step @p149 :rule nary_cong :premises (@p148 @p147 @p146 @p145 @p144 @p143) :args (@t260)) % 1.04/1.26 (step @p150 :rule quant-miniscope-or :args ((= @t256 @t260))) % 1.04/1.26 (step @p151 :rule trans :premises (@p150 @p149)) % 1.04/1.26 (step @p152 :rule symm :premises (@p151)) % 1.04/1.26 (step @p153 :rule cong :premises (@p152) :args ((forall @t9 @t275))) % 1.04/1.26 (step @p154 :rule trans :premises (@p153 @p142)) % 1.04/1.26 (step @p155 :rule trans :premises (@p154 @p141)) % 1.04/1.26 (step @p156 :rule aci_norm :args ((= (or (or @t71 @t249 @t248 @t247 @t246) @t274) @t275))) % 1.04/1.26 (step @p157 :rule refl :args (@t274)) % 1.04/1.26 (step @p158 :rule bool-double-not-elim :args (@t71)) % 1.04/1.26 (step @p159 :rule nary_cong :premises (@p158 @p147 @p146 @p145 @p144) :args (@t277)) % 1.04/1.26 (step @p160 :rule aci_norm :args ((= (or @t276 (or @t249 (or @t248 (or @t247 @t246)))) @t277))) % 1.04/1.26 (step @p161 :rule trans :premises (@p160 @p159)) % 1.04/1.26 (step @p162 :rule bool-and-de-morgan :args (@t77 @t16 true)) % 1.04/1.26 (step @p163 :rule nary_cong :premises (@p146 @p162) :args ((or @t248 (not (and @t77 @t16))))) % 1.04/1.26 (step @p164 :rule bool-and-de-morgan :args (@t69 @t77 (and @t16))) % 1.04/1.26 (step @p165 :rule trans :premises (@p164 @p163)) % 1.04/1.26 (step @p166 :rule nary_cong :premises (@p147 @p165) :args ((or @t249 (not (and @t69 @t77 @t16))))) % 1.04/1.26 (step @p167 :rule bool-and-de-morgan :args (@t70 @t69 (and @t77 @t16))) % 1.04/1.26 (step @p168 :rule trans :premises (@p167 @p166)) % 1.04/1.26 (step @p169 :rule refl :args (@t276)) % 1.04/1.26 (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or @t276 (not (and @t70 @t69 @t77 @t16))))) % 1.04/1.26 (step @p171 :rule bool-and-de-morgan :args (@t72 @t70 (and @t69 @t77 @t16))) % 1.04/1.26 (step @p172 :rule trans :premises (@p171 @p170)) % 1.04/1.26 (step @p173 :rule trans :premises (@p172 @p161)) % 1.04/1.26 (step @p174 :rule nary_cong :premises (@p173 @p157) :args ((or (not @t210) @t274))) % 1.04/1.26 (step @p175 :rule trans :premises (@p174 @p156)) % 1.04/1.26 (step @p176 :rule bool-impl-elim :args (@t210 @t274)) % 1.04/1.26 (step @p177 :rule trans :premises (@p176 @p175)) % 1.04/1.26 (step @p178 :rule cong :premises (@p177) :args ((forall @t9 (=> @t210 @t274)))) % 1.04/1.26 (step @p179 :rule trans :premises (@p178 @p155)) % 1.04/1.26 (step @p180 :rule aci_norm :args ((= @t279 @t272))) % 1.04/1.26 (step @p181 :rule cong :premises (@p180) :args (@t280)) % 1.04/1.26 (step @p182 :rule quant-merge-prenex :args ((= (forall @t34 @t282) @t280))) % 1.04/1.26 (step @p183 :rule alpha_equiv :args (@t283 (@list @t259 @t258) (@list @t17 @t284))) % 1.04/1.26 (step @p184 :rule refl :args (@t268)) % 1.04/1.26 (step @p185 :rule refl :args (@t269)) % 1.04/1.26 (step @p186 :rule refl :args (@t270)) % 1.04/1.26 (step @p187 :rule refl :args (@t271)) % 1.04/1.26 (step @p188 :rule refl :args (@t67)) % 1.04/1.26 (step @p189 :rule nary_cong :premises (@p188 @p187 @p186 @p185 @p184 @p183) :args (@t285)) % 1.04/1.26 (step @p190 :rule quant-miniscope-or :args ((= @t282 @t285))) % 1.04/1.26 (step @p191 :rule trans :premises (@p190 @p189)) % 1.04/1.26 (step @p192 :rule symm :premises (@p191)) % 1.04/1.26 (step @p193 :rule cong :premises (@p192) :args ((forall @t34 @t295))) % 1.04/1.26 (step @p194 :rule trans :premises (@p193 @p182)) % 1.04/1.26 (step @p195 :rule trans :premises (@p194 @p181)) % 1.04/1.26 (step @p196 :rule aci_norm :args ((= (or (or @t67 @t271 @t270 @t269 @t268) @t294) @t295))) % 1.04/1.26 (step @p197 :rule refl :args (@t294)) % 1.04/1.26 (step @p198 :rule bool-double-not-elim :args (@t67)) % 1.04/1.26 (step @p199 :rule nary_cong :premises (@p198 @p187 @p186 @p185 @p184) :args (@t297)) % 1.04/1.26 (step @p200 :rule aci_norm :args ((= (or @t296 (or @t271 (or @t270 (or @t269 @t268)))) @t297))) % 1.04/1.26 (step @p201 :rule trans :premises (@p200 @p199)) % 1.04/1.26 (step @p202 :rule bool-and-de-morgan :args (@t127 @t65 true)) % 1.04/1.26 (step @p203 :rule nary_cong :premises (@p186 @p202) :args ((or @t270 (not (and @t127 @t65))))) % 1.04/1.26 (step @p204 :rule bool-and-de-morgan :args (@t66 @t127 (and @t65))) % 1.04/1.26 (step @p205 :rule trans :premises (@p204 @p203)) % 1.04/1.26 (step @p206 :rule nary_cong :premises (@p187 @p205) :args ((or @t271 (not (and @t66 @t127 @t65))))) % 1.04/1.26 (step @p207 :rule bool-and-de-morgan :args (@t183 @t66 (and @t127 @t65))) % 1.04/1.26 (step @p208 :rule trans :premises (@p207 @p206)) % 1.04/1.26 (step @p209 :rule refl :args (@t296)) % 1.04/1.26 (step @p210 :rule nary_cong :premises (@p209 @p208) :args ((or @t296 (not (and @t183 @t66 @t127 @t65))))) % 1.04/1.26 (step @p211 :rule bool-and-de-morgan :args (@t68 @t183 (and @t66 @t127 @t65))) % 1.04/1.26 (step @p212 :rule trans :premises (@p211 @p210)) % 1.04/1.26 (step @p213 :rule trans :premises (@p212 @p201)) % 1.04/1.26 (step @p214 :rule nary_cong :premises (@p213 @p197) :args ((or (not @t207) @t294))) % 1.04/1.26 (step @p215 :rule trans :premises (@p214 @p196)) % 1.04/1.26 (step @p216 :rule bool-impl-elim :args (@t207 @t294)) % 1.04/1.26 (step @p217 :rule trans :premises (@p216 @p215)) % 1.04/1.26 (step @p218 :rule cong :premises (@p217) :args ((forall @t34 (=> @t207 @t294)))) % 1.04/1.26 (step @p219 :rule trans :premises (@p218 @p195)) % 1.04/1.26 (step @p220 :rule eq-symm :args (@t286 @t193)) % 1.04/1.26 (step @p221 :rule refl :args (@t287)) % 1.04/1.26 (step @p222 :rule refl :args (@t288)) % 1.04/1.26 (step @p223 :rule refl :args (@t289)) % 1.04/1.26 (step @p224 :rule refl :args (@t290)) % 1.04/1.26 (step @p225 :rule refl :args (@t291)) % 1.04/1.26 (step @p226 :rule refl :args (@t292)) % 1.04/1.26 (step @p227 :rule nary_cong :premises (@p226 @p225 @p224 @p223 @p222 @p221 @p220) :args (@t299)) % 1.04/1.26 (step @p228 :rule aci_norm :args ((= @t301 @t299))) % 1.04/1.26 (step @p229 :rule trans :premises (@p228 @p227)) % 1.04/1.26 (step @p230 :rule cong :premises (@p229) :args (@t302)) % 1.04/1.26 (step @p231 :rule quant-merge-prenex :args ((= (forall @t64 @t304) @t302))) % 1.04/1.26 (step @p232 :rule alpha_equiv :args (@t305 (@list @t284) (@list @t53))) % 1.04/1.26 (step @p233 :rule refl :args (@t290)) % 1.04/1.26 (step @p234 :rule refl :args (@t291)) % 1.04/1.26 (step @p235 :rule refl :args (@t292)) % 1.04/1.26 (step @p236 :rule nary_cong :premises (@p235 @p234 @p233 @p232) :args (@t306)) % 1.04/1.26 (step @p237 :rule quant-miniscope-or :args ((= @t304 @t306))) % 1.04/1.26 (step @p238 :rule trans :premises (@p237 @p236)) % 1.04/1.26 (step @p239 :rule symm :premises (@p238)) % 1.04/1.26 (step @p240 :rule cong :premises (@p239) :args ((forall @t64 @t313))) % 1.04/1.26 (step @p241 :rule trans :premises (@p240 @p231)) % 1.04/1.26 (step @p242 :rule trans :premises (@p241 @p230)) % 1.04/1.26 (step @p243 :rule aci_norm :args ((= (or (or @t292 @t291) (or @t290 @t312)) @t313))) % 1.04/1.26 (step @p244 :rule bool-impl-elim :args (@t202 @t312)) % 1.04/1.26 (step @p245 :rule bool-and-de-morgan :args (@t62 @t24 true)) % 1.04/1.26 (step @p246 :rule nary_cong :premises (@p245 @p244) :args ((or (not @t204) @t314))) % 1.04/1.26 (step @p247 :rule trans :premises (@p246 @p243)) % 1.04/1.26 (step @p248 :rule bool-impl-elim :args (@t204 @t314)) % 1.04/1.26 (step @p249 :rule trans :premises (@p248 @p247)) % 1.04/1.26 (step @p250 :rule cong :premises (@p249) :args ((forall @t64 (=> @t204 @t314)))) % 1.04/1.26 (step @p251 :rule trans :premises (@p250 @p242)) % 1.04/1.26 (step @p252 :rule aci_norm :args ((= (or (or @t310 @t309) (or @t308 @t194)) @t311))) % 1.04/1.26 (step @p253 :rule bool-impl-elim :args (@t307 @t194)) % 1.04/1.26 (step @p254 :rule bool-and-de-morgan :args (@t198 @t197 true)) % 1.04/1.26 (step @p255 :rule nary_cong :premises (@p254 @p253) :args ((or (not @t199) @t315))) % 1.04/1.26 (step @p256 :rule trans :premises (@p255 @p252)) % 1.04/1.26 (step @p257 :rule bool-impl-elim :args (@t199 @t315)) % 1.04/1.26 (step @p258 :rule trans :premises (@p257 @p256)) % 1.04/1.26 (step @p259 :rule cong :premises (@p258) :args ((forall @t161 (=> @t199 @t315)))) % 1.04/1.26 (step @p260 :rule refl :args (@t194)) % 1.04/1.26 (step @p261 :rule eq-symm :args (@t195 @t128)) % 1.04/1.26 (step @p262 :rule cong :premises (@p261 @p260) :args (@t196)) % 1.04/1.26 (step @p263 :rule refl :args (@t199)) % 1.04/1.26 (step @p264 :rule cong :premises (@p263 @p262) :args (@t200)) % 1.04/1.26 (step @p265 :rule cong :premises (@p264) :args (@t201)) % 1.04/1.26 (step @p266 :rule trans :premises (@p265 @p259)) % 1.04/1.26 (step @p267 :rule refl :args (@t202)) % 1.04/1.26 (step @p268 :rule cong :premises (@p267 @p266) :args (@t203)) % 1.04/1.26 (step @p269 :rule refl :args (@t204)) % 1.04/1.26 (step @p270 :rule cong :premises (@p269 @p268) :args (@t205)) % 1.04/1.26 (step @p271 :rule cong :premises (@p270) :args (@t206)) % 1.04/1.26 (step @p272 :rule trans :premises (@p271 @p251)) % 1.04/1.26 (step @p273 :rule refl :args (@t207)) % 1.04/1.26 (step @p274 :rule cong :premises (@p273 @p272) :args (@t208)) % 1.04/1.26 (step @p275 :rule cong :premises (@p274) :args (@t209)) % 1.04/1.26 (step @p276 :rule trans :premises (@p275 @p219)) % 1.04/1.26 (step @p277 :rule refl :args (@t210)) % 1.04/1.26 (step @p278 :rule cong :premises (@p277 @p276) :args (@t211)) % 1.04/1.26 (step @p279 :rule cong :premises (@p278) :args (@t212)) % 1.04/1.26 (step @p280 :rule trans :premises 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:args (@t190)) % 1.04/1.26 (step @p489 :rule cong :premises (@p488) :args (@t191)) % 1.04/1.26 (step @p490 :rule trans :premises (@p489 @p483)) % 1.04/1.26 (step @p491 :rule eq_resolve :premises (@p119 @p490)) % 1.04/1.26 (step @p492 :rule instantiate :premises (@p491) :args (@t358)) % 1.04/1.26 (step @p493 :rule cnf_or_pos :args (@t422)) % 1.04/1.26 (step @p494 :rule reordering :premises (@p493) :args ((or @t227 @t421 (not @t422)))) % 1.04/1.26 (step @p495 :rule chain_m_resolution :premises (@p494 @p333 @p492) :args (@t421 @t364 (@list @t227 @t422))) % 1.04/1.26 (step @p496 :rule cnf_and_pos :args (@t421 0)) % 1.04/1.26 (step @p497 :rule reordering :premises (@p496) :args ((or @t420 @t423))) % 1.04/1.26 (step @p498 :rule chain_m_resolution :premises (@p497 @p495) :args (@t420 @t351 @t424)) % 1.04/1.26 (step @p499 :rule symm :premises (@p498)) % 1.04/1.26 (step @p500 :rule trans :premises (@p499 @p478)) % 1.04/1.26 (step @p501 :rule refl :args (@t177)) % 1.04/1.26 (step @p502 :rule nary_cong :premises (@p130 @p501) :args ((or @t214 @t177))) % 1.04/1.26 (step @p503 :rule bool-impl-elim :args (@t8 @t177)) % 1.04/1.26 (step @p504 :rule trans :premises (@p503 @p502)) % 1.04/1.26 (step @p505 :rule cong :premises (@p504) :args (@t178)) % 1.04/1.26 (step @p506 :rule eq_resolve :premises (@p92 @p505)) % 1.04/1.26 (step @p507 :rule instantiate :premises (@p506) :args (@t358)) % 1.04/1.26 (step @p508 :rule cnf_or_pos :args (@t428)) % 1.04/1.26 (step @p509 :rule reordering :premises (@p508) :args ((or @t227 @t427 (not @t428)))) % 1.04/1.26 (step @p510 :rule chain_m_resolution :premises (@p509 @p333 @p507) :args (@t427 @t364 (@list @t227 @t428))) % 1.04/1.26 (step @p511 :rule cnf_and_pos :args (@t427 7)) % 1.04/1.26 (step @p512 :rule reordering :premises (@p511) :args ((or @t324 @t429))) % 1.04/1.26 (step @p513 :rule chain_m_resolution :premises (@p512 @p510) :args (@t324 @t351 @t430)) % 1.04/1.26 (step @p514 :rule cnf_and_pos :args (@t427 1)) % 1.04/1.26 (step @p515 :rule reordering :premises (@p514) :args ((or @t328 @t429))) % 1.04/1.26 (step @p516 :rule chain_m_resolution :premises (@p515 @p510) :args (@t328 @t351 @t430)) % 1.04/1.26 (step @p517 :rule instantiate :premises (@p385) :args (@t431)) % 1.04/1.26 (step @p518 :rule refl :args (@t147)) % 1.04/1.26 (step @p519 :rule nary_cong :premises (@p130 @p518) :args ((or @t214 @t147))) % 1.04/1.26 (step @p520 :rule bool-impl-elim :args (@t8 @t147)) % 1.04/1.26 (step @p521 :rule trans :premises (@p520 @p519)) % 1.04/1.26 (step @p522 :rule cong :premises (@p521) :args (@t148)) % 1.04/1.26 (step @p523 :rule eq_resolve :premises (@p50 @p522)) % 1.04/1.26 (step @p524 :rule instantiate :premises (@p523) :args (@t358)) % 1.04/1.26 (step @p525 :rule cnf_or_pos :args (@t434)) % 1.04/1.26 (step @p526 :rule reordering :premises (@p525) :args ((or @t227 @t433 (not @t434)))) % 1.04/1.26 (step @p527 :rule chain_m_resolution :premises (@p526 @p333 @p524) :args (@t433 @t364 (@list @t227 @t434))) % 1.04/1.26 (step @p528 :rule cnf_and_pos :args (@t433 2)) % 1.04/1.26 (step @p529 :rule reordering :premises (@p528) :args ((or @t432 @t435))) % 1.04/1.26 (step @p530 :rule chain_m_resolution :premises (@p529 @p527) :args (@t432 @t351 @t436)) % 1.04/1.26 (step @p531 :rule cnf_and_pos :args (@t390 1)) % 1.04/1.26 (step @p532 :rule reordering :premises (@p531) :args ((or @t345 @t392))) % 1.04/1.26 (step @p533 :rule chain_m_resolution :premises (@p532 @p423) :args (@t345 @t351 @t393)) % 1.04/1.26 (step @p534 :rule cnf_or_pos :args (@t438)) % 1.04/1.26 (step @p535 :rule reordering :premises (@p534) :args ((or @t338 @t335 @t331 @t347 @t346 @t344 @t340 @t326 @t437 (not @t438)))) % 1.04/1.26 (step @p536 :rule chain_m_resolution :premises (@p535 @p461 @p455 @p442 @p429 @p533 @p426 @p413 @p530 @p517) :args (@t326 (@list true false false true false false false false false) (@list @t338 @t334 @t330 @t347 @t345 @t343 @t339 @t432 @t438))) % 1.04/1.26 (step @p537 :rule refl :args (@t179)) % 1.04/1.26 (step @p538 :rule nary_cong :premises (@p130 @p537) :args ((or @t214 @t179))) % 1.04/1.26 (step @p539 :rule bool-impl-elim :args (@t8 @t179)) % 1.04/1.26 (step @p540 :rule trans :premises (@p539 @p538)) % 1.04/1.26 (step @p541 :rule cong :premises (@p540) :args (@t180)) % 1.04/1.26 (step @p542 :rule eq_resolve :premises (@p93 @p541)) % 1.04/1.26 (step @p543 :rule instantiate :premises (@p542) :args (@t358)) % 1.04/1.26 (step @p544 :rule cnf_or_pos :args (@t441)) % 1.04/1.26 (step @p545 :rule reordering :premises (@p544) :args ((or @t227 @t440 (not @t441)))) % 1.04/1.26 (step @p546 :rule chain_m_resolution :premises (@p545 @p333 @p543) :args (@t440 @t364 (@list @t227 @t441))) % 1.04/1.26 (step @p547 :rule cnf_and_pos :args (@t440 1)) % 1.04/1.26 (step @p548 :rule reordering :premises (@p547) :args ((or @t322 @t442))) % 1.04/1.26 (step @p549 :rule chain_m_resolution :premises (@p548 @p546) :args (@t322 @t351 @t443)) % 1.04/1.26 (step @p550 :rule cnf_and_pos :args (@t400 6)) % 1.04/1.26 (step @p551 :rule reordering :premises (@p550) :args ((or @t332 @t402))) % 1.04/1.26 (step @p552 :rule chain_m_resolution :premises (@p551 @p452) :args (@t332 @t351 @t403)) % 1.04/1.26 (step @p553 :rule cnf_and_pos :args (@t390 6)) % 1.04/1.26 (step @p554 :rule reordering :premises (@p553) :args ((or @t341 @t392))) % 1.04/1.26 (step @p555 :rule chain_m_resolution :premises (@p554 @p423) :args (@t341 @t351 @t393)) % 1.04/1.26 (step @p556 :rule cnf_or_pos :args (@t350)) % 1.04/1.26 (step @p557 :rule reordering :premises (@p556) :args ((or @t225 @t338 @t337 @t335 @t331 @t347 @t346 @t344 @t340 @t342 @t333 @t323 @t321 @t327 @t329 @t325 @t319 (not @t350)))) % 1.04/1.26 (step @p558 :rule chain_m_resolution :premises (@p557 @p461 @p458 @p455 @p442 @p429 @p533 @p426 @p413 @p555 @p552 @p549 @p464 @p536 @p516 @p513 @p500 @p308) :args (@t225 @t444 (@list @t338 @t336 @t334 @t330 @t347 @t345 @t343 @t339 @t341 @t332 @t322 @t320 @t326 @t328 @t324 @t318 @t350))) % 1.04/1.26 (step @p559 :rule eq-symm :args (@t217 @t221)) % 1.04/1.26 (step @p560 :rule refl :args (@t447)) % 1.04/1.26 (step @p561 :rule refl :args (@t448)) % 1.04/1.26 (step @p562 :rule nary_cong :premises (@p293 @p292 @p291 @p290 @p289 @p298 @p297 @p296 @p295 @p294 @p285 @p284 @p561 @p288 @p287 @p560 @p559) :args (@t449)) % 1.04/1.26 (step @p563 :rule cong :premises (@p300 @p562) :args ((=> @t349 @t449))) % 1.04/1.26 (assume-push @p593 @t349) % 1.04/1.26 (step @p565 :rule instantiate :premises (@p281) :args ((@list @t220 @t216 @t218 @t219))) % 1.04/1.26 (step-pop @p594 :rule scope :premises (@p565)) % 1.04/1.27 (step @p566 :rule process_scope :premises (@p594) :args (@t449)) % 1.04/1.27 (step @p568 :rule eq_resolve :premises (@p566 @p563)) % 1.04/1.27 (step @p569 :rule implies_elim :premises (@p568)) % 1.04/1.27 (step @p570 :rule chain_m_resolution :premises (@p569 @p281) :args (@t450 @t351 @t352)) % 1.04/1.27 (step @p571 :rule instantiate :premises (@p323) :args (@t431)) % 1.04/1.27 (step @p572 :rule cnf_and_pos :args (@t433 0)) % 1.04/1.27 (step @p573 :rule reordering :premises (@p572) :args ((or @t426 @t435))) % 1.04/1.27 (step @p574 :rule chain_m_resolution :premises (@p573 @p527) :args (@t426 @t351 @t436)) % 1.04/1.27 (step @p575 :rule cnf_or_pos :args (@t453)) % 1.04/1.27 (step @p576 :rule reordering :premises (@p575) :args ((or @t414 @t413 @t327 @t452 @t451 (not @t453)))) % 1.04/1.27 (step @p577 :rule chain_m_resolution :premises (@p576 @p475 @p471 @p536 @p574 @p571) :args (@t451 @t416 (@list @t409 @t406 @t326 @t426 @t453))) % 1.04/1.27 (step @p578 :rule cnf_and_pos :args (@t421 1)) % 1.04/1.27 (step @p579 :rule reordering :premises (@p578) :args ((or @t419 @t423))) % 1.04/1.27 (step @p580 :rule chain_m_resolution :premises (@p579 @p495) :args (@t419 @t351 @t424)) % 1.04/1.27 (step @p581 :rule symm :premises (@p580)) % 1.04/1.27 (step @p582 :rule trans :premises (@p581 @p577)) % 1.04/1.27 (step @p583 :rule cnf_and_pos :args (@t440 7)) % 1.04/1.27 (step @p584 :rule reordering :premises (@p583) :args ((or @t439 @t442))) % 1.04/1.27 (step @p585 :rule chain_m_resolution :premises (@p584 @p546) :args (@t439 @t351 @t443)) % 1.04/1.27 (step @p586 :rule cnf_or_pos :args (@t450)) % 1.04/1.27 (step @p587 :rule reordering :premises (@p586) :args ((or @t222 @t338 @t337 @t335 @t331 @t347 @t346 @t344 @t340 @t342 @t333 @t323 @t321 @t327 @t329 @t448 @t447 (not @t450)))) % 1.04/1.27 (step @p588 :rule chain_m_resolution :premises (@p587 @p461 @p458 @p455 @p442 @p429 @p533 @p426 @p413 @p555 @p552 @p549 @p464 @p536 @p516 @p585 @p582 @p570) :args (@t222 @t444 (@list @t338 @t336 @t334 @t330 @t347 @t345 @t343 @t339 @t341 @t332 @t322 @t320 @t326 @t328 @t439 @t446 @t450))) % 1.04/1.27 (step @p589 :rule cnf_and_neg :args (@t226)) % 1.04/1.27 (step @p590 false :rule chain_m_resolution :premises (@p589 @p588 @p558 @p139) :args (false (@list false false true) (@list @t222 @t225 @t226))) % 1.04/1.27 ) % 1.04/1.27 % SZS output end Proof % 1.04/1.27 % cvc5 exiting %------------------------------------------------------------------------------