%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT376+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 0.39s 0.82s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT376+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n020.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 06:58:10 EDT 2026 % 0.18/0.35 % CPUTime : % 0.30/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.82 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.82 % SZS status Theorem % 0.39/0.82 % SZS output start Proof % 0.39/0.82 ( % 0.39/0.82 (declare-sort $$unsorted 0) % 0.39/0.82 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.k6_waybel34 (-> $$unsorted $$unsorted)) % 0.39/0.82 (declare-const tptp.k15_functor0 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.82 (declare-const tptp.m3_pboole (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.k3_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.82 (declare-const tptp.k3_altcat_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.82 (declare-const tptp.k2_altcat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.82 (declare-const tptp.v16_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v14_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v21_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v2_yellow21 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.u2_functor0 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.82 (declare-const tptp.v3_yellow21 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v11_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v9_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v4_yellow18 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.g2_functor0 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.82 (declare-const tptp.v1_yellow21 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.k7_waybel34 (-> $$unsorted $$unsorted)) % 0.39/0.82 (declare-const tptp.v6_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.u1_functor0 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.82 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.l1_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.l2_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v3_yellow18 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v6_altcat_1 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.k5_waybel34 (-> $$unsorted $$unsorted)) % 0.39/0.82 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.k4_waybel34 (-> $$unsorted $$unsorted)) % 0.39/0.82 (declare-const tptp.m1_pboole (-> $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.l2_altcat_1 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.l1_altcat_1 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v2_setfam_1 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v1_altcat_2 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.39/0.82 (declare-const tptp.r3_yellow20 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.39/0.82 (declare-const tptp.u2_altcat_1 (-> $$unsorted $$unsorted)) % 0.39/0.82 (declare-const tptp.k9_waybel34 (-> $$unsorted $$unsorted)) % 0.39/0.82 (declare-const tptp.m1_functor0 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.g2_altcat_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.82 (declare-const tptp.v2_yellow18 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v8_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v3_altcat_2 (-> $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v12_altcat_1 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.u1_altcat_1 (-> $$unsorted $$unsorted)) % 0.39/0.82 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v11_altcat_1 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.39/0.82 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v12_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v9_altcat_1 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v2_altcat_1 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.m2_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.m1_altcat_2 (-> $$unsorted $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.k8_waybel34 (-> $$unsorted $$unsorted)) % 0.39/0.82 (declare-const tptp.v1_funcop_1 (-> $$unsorted Bool)) % 0.39/0.82 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.82 (define @t1 () (@var "A" $$unsorted)) % 0.39/0.82 (define @t2 () (tptp.k8_waybel34 @t1)) % 0.39/0.82 (define @t3 () (tptp.k9_waybel34 @t1)) % 0.39/0.82 (define @t4 () (tptp.k7_waybel34 @t1)) % 0.39/0.82 (define @t5 () (tptp.k4_waybel34 @t1)) % 0.39/0.82 (define @t6 () (tptp.k5_waybel34 @t1)) % 0.39/0.82 (define @t7 () (tptp.r3_yellow20 @t6 @t5 @t4 @t3 @t2)) % 0.39/0.82 (define @t8 () (tptp.v2_setfam_1 @t1)) % 0.39/0.82 (define @t9 () (not @t8)) % 0.39/0.82 (define @t10 () (@list @t1)) % 0.39/0.82 (define @t11 () (forall @t10 (=> @t9 @t7))) % 0.39/0.82 (define @t12 () (not @t11)) % 0.39/0.82 (define @t13 () (tptp.u2_altcat_1 @t1)) % 0.39/0.82 (define @t14 () (tptp.u1_altcat_1 @t1)) % 0.39/0.82 (define @t15 () (tptp.u1_struct_0 @t1)) % 0.39/0.82 (define @t16 () (tptp.v6_altcat_1 @t1)) % 0.39/0.82 (define @t17 () (tptp.l2_altcat_1 @t1)) % 0.39/0.82 (define @t18 () (@var "C" $$unsorted)) % 0.39/0.82 (define @t19 () (@var "B" $$unsorted)) % 0.39/0.82 (define @t20 () (tptp.u2_functor0 @t1 @t19 @t18)) % 0.39/0.82 (define @t21 () (tptp.u1_functor0 @t1 @t19 @t18)) % 0.39/0.82 (define @t22 () (tptp.v9_functor0 @t18 @t1 @t19)) % 0.39/0.82 (define @t23 () (tptp.l2_functor0 @t18 @t1 @t19)) % 0.39/0.82 (define @t24 () (tptp.l1_altcat_1 @t19)) % 0.39/0.82 (define @t25 () (tptp.l1_altcat_1 @t1)) % 0.39/0.82 (define @t26 () (and @t25 @t24 @t23)) % 0.39/0.82 (define @t27 () (@list @t1 @t19 @t18)) % 0.39/0.82 (define @t28 () (tptp.r2_hidden @t1 @t19)) % 0.39/0.82 (define @t29 () (@list @t1 @t19)) % 0.39/0.82 (define @t30 () (tptp.v1_xcmplx_0 @t19)) % 0.39/0.82 (define @t31 () (tptp.m1_subset_1 @t19 @t1)) % 0.39/0.82 (define @t32 () (@list @t19)) % 0.39/0.82 (define @t33 () (tptp.v1_membered @t1)) % 0.39/0.82 (define @t34 () (tptp.v1_xreal_0 @t19)) % 0.39/0.82 (define @t35 () (tptp.v2_membered @t1)) % 0.39/0.82 (define @t36 () (tptp.v2_yellow21 @t19)) % 0.39/0.82 (define @t37 () (tptp.v1_yellow21 @t19)) % 0.39/0.82 (define @t38 () (tptp.v4_yellow18 @t19)) % 0.39/0.82 (define @t39 () (tptp.v3_yellow18 @t19)) % 0.39/0.82 (define @t40 () (tptp.v2_yellow18 @t19)) % 0.39/0.82 (define @t41 () (tptp.v3_altcat_2 @t19 @t1)) % 0.39/0.82 (define @t42 () (tptp.v1_altcat_2 @t19)) % 0.39/0.82 (define @t43 () (tptp.v12_altcat_1 @t19)) % 0.39/0.82 (define @t44 () (tptp.v11_altcat_1 @t19)) % 0.39/0.82 (define @t45 () (tptp.v9_altcat_1 @t19)) % 0.39/0.82 (define @t46 () (tptp.v2_altcat_1 @t19)) % 0.39/0.82 (define @t47 () (tptp.v3_struct_0 @t19)) % 0.39/0.82 (define @t48 () (not @t47)) % 0.39/0.82 (define @t49 () (and @t48 @t46 @t41)) % 0.39/0.82 (define @t50 () (tptp.m1_altcat_2 @t19 @t1)) % 0.39/0.82 (define @t51 () (tptp.v3_yellow21 @t1)) % 0.39/0.82 (define @t52 () (tptp.v12_altcat_1 @t1)) % 0.39/0.82 (define @t53 () (tptp.v11_altcat_1 @t1)) % 0.39/0.82 (define @t54 () (tptp.v2_altcat_1 @t1)) % 0.39/0.82 (define @t55 () (tptp.v3_struct_0 @t1)) % 0.39/0.82 (define @t56 () (not @t55)) % 0.39/0.82 (define @t57 () (tptp.v1_rat_1 @t19)) % 0.39/0.82 (define @t58 () (tptp.v3_membered @t1)) % 0.39/0.82 (define @t59 () (tptp.v1_int_1 @t19)) % 0.39/0.82 (define @t60 () (tptp.v4_membered @t1)) % 0.39/0.82 (define @t61 () (tptp.v5_membered @t1)) % 0.39/0.82 (define @t62 () (tptp.v1_xboole_0 @t1)) % 0.39/0.82 (define @t63 () (tptp.v1_membered @t19)) % 0.39/0.82 (define @t64 () (tptp.m1_subset_1 @t19 (tptp.k1_zfmisc_1 @t1))) % 0.39/0.82 (define @t65 () (tptp.v2_membered @t19)) % 0.39/0.82 (define @t66 () (tptp.v3_membered @t19)) % 0.39/0.82 (define @t67 () (tptp.v4_membered @t19)) % 0.39/0.82 (define @t68 () (tptp.v1_finset_1 @t1)) % 0.39/0.82 (define @t69 () (tptp.v1_funct_1 @t1)) % 0.39/0.82 (define @t70 () (@var "F" $$unsorted)) % 0.39/0.82 (define @t71 () (@var "E" $$unsorted)) % 0.39/0.82 (define @t72 () (@var "D" $$unsorted)) % 0.39/0.82 (define @t73 () (tptp.m1_functor0 @t70 @t1 @t19 @t18 @t72 @t71)) % 0.39/0.82 (define @t74 () (@list @t70)) % 0.39/0.82 (define @t75 () (tptp.m1_pboole @t72 @t1)) % 0.39/0.82 (define @t76 () (tptp.m1_relset_1 @t18 @t1 @t19)) % 0.39/0.82 (define @t77 () (tptp.v1_funct_1 @t18)) % 0.39/0.82 (define @t78 () (and @t77 (tptp.v1_funct_2 @t18 @t1 @t19) @t76 @t75 (tptp.m1_pboole @t71 @t19))) % 0.39/0.82 (define @t79 () (@list @t1 @t19 @t18 @t72 @t71)) % 0.39/0.82 (define @t80 () (tptp.v12_functor0 @t18 @t1 @t19)) % 0.39/0.82 (define @t81 () (tptp.v8_functor0 @t18 @t1 @t19)) % 0.39/0.82 (define @t82 () (tptp.m2_functor0 @t18 @t1 @t19)) % 0.39/0.82 (define @t83 () (@list @t18)) % 0.39/0.82 (define @t84 () (tptp.l2_altcat_1 @t19)) % 0.39/0.82 (define @t85 () (and @t56 @t54 @t52 @t17 @t48 @t43 @t84)) % 0.39/0.82 (define @t86 () (tptp.k2_zfmisc_1 @t1 @t19)) % 0.39/0.82 (define @t87 () (tptp.m1_subset_1 @t18 (tptp.k1_zfmisc_1 @t86))) % 0.39/0.82 (define @t88 () (tptp.v2_yellow21 @t1)) % 0.39/0.82 (define @t89 () (tptp.v1_altcat_2 @t1)) % 0.39/0.82 (define @t90 () (tptp.v1_finset_1 @t19)) % 0.39/0.82 (define @t91 () (tptp.v1_relat_1 @t1)) % 0.39/0.82 (define @t92 () (and @t91 @t69 (tptp.v2_funct_1 @t1))) % 0.39/0.82 (define @t93 () (and @t91 @t62 @t69)) % 0.39/0.82 (define @t94 () (not @t62)) % 0.39/0.82 (define @t95 () (forall @t10 (=> @t9 @t94))) % 0.39/0.82 (define @t96 () (tptp.v1_yellow21 @t1)) % 0.39/0.82 (define @t97 () (tptp.v4_yellow18 @t1)) % 0.39/0.82 (define @t98 () (tptp.v3_yellow18 @t1)) % 0.39/0.82 (define @t99 () (tptp.v2_yellow18 @t1)) % 0.39/0.82 (define @t100 () (tptp.v9_altcat_1 @t1)) % 0.39/0.82 (define @t101 () (tptp.v6_functor0 @t18 @t1 @t19)) % 0.39/0.82 (define @t102 () (tptp.v11_functor0 @t18 @t1 @t19)) % 0.39/0.82 (define @t103 () (tptp.l1_functor0 @t18 @t1 @t19)) % 0.39/0.82 (define @t104 () (tptp.l1_struct_0 @t19)) % 0.39/0.82 (define @t105 () (tptp.l1_struct_0 @t1)) % 0.39/0.82 (define @t106 () (tptp.v14_functor0 @t18 @t1 @t19)) % 0.39/0.82 (define @t107 () (tptp.v16_functor0 @t18 @t1 @t19)) % 0.39/0.82 (define @t108 () (tptp.g2_altcat_1 @t1 @t19 @t18)) % 0.39/0.82 (define @t109 () (tptp.k2_altcat_1 @t1 @t19)) % 0.39/0.82 (define @t110 () (tptp.k3_zfmisc_1 @t1 @t1 @t1)) % 0.39/0.82 (define @t111 () (tptp.k2_zfmisc_1 @t1 @t1)) % 0.39/0.82 (define @t112 () (tptp.m1_pboole @t19 @t111)) % 0.39/0.82 (define @t113 () (and @t112 (tptp.m3_pboole @t18 @t110 (tptp.k3_altcat_1 @t1 @t19 @t19) @t109))) % 0.39/0.82 (define @t114 () (tptp.g2_functor0 @t1 @t19 @t18 @t72)) % 0.39/0.82 (define @t115 () (tptp.u1_altcat_1 @t19)) % 0.39/0.82 (define @t116 () (tptp.u1_struct_0 @t19)) % 0.39/0.82 (define @t117 () (tptp.k2_zfmisc_1 @t116 @t116)) % 0.39/0.82 (define @t118 () (tptp.k2_zfmisc_1 @t15 @t15)) % 0.39/0.82 (define @t119 () (and @t25 @t24 @t77 (tptp.v1_funct_2 @t18 @t118 @t117) (tptp.m1_relset_1 @t18 @t118 @t117) (tptp.m1_functor0 @t72 @t118 @t117 @t18 @t14 @t115))) % 0.39/0.82 (define @t120 () (@list @t1 @t19 @t18 @t72)) % 0.39/0.82 (define @t121 () (tptp.k15_functor0 @t1 @t19 @t18)) % 0.39/0.82 (define @t122 () (tptp.v2_yellow21 @t5)) % 0.39/0.82 (define @t123 () (tptp.v12_altcat_1 @t5)) % 0.39/0.82 (define @t124 () (tptp.v11_altcat_1 @t5)) % 0.39/0.82 (define @t125 () (tptp.v6_altcat_1 @t5)) % 0.39/0.82 (define @t126 () (tptp.v2_altcat_1 @t5)) % 0.39/0.82 (define @t127 () (not (tptp.v3_struct_0 @t5))) % 0.39/0.82 (define @t128 () (and @t127 @t126 @t125 @t124 @t123 @t122 (tptp.l2_altcat_1 @t5))) % 0.39/0.82 (define @t129 () (forall @t10 (=> @t94 @t128))) % 0.39/0.82 (define @t130 () (tptp.v2_yellow21 @t6)) % 0.39/0.82 (define @t131 () (tptp.v12_altcat_1 @t6)) % 0.39/0.82 (define @t132 () (tptp.v11_altcat_1 @t6)) % 0.39/0.82 (define @t133 () (tptp.v6_altcat_1 @t6)) % 0.39/0.82 (define @t134 () (tptp.v2_altcat_1 @t6)) % 0.39/0.82 (define @t135 () (not (tptp.v3_struct_0 @t6))) % 0.39/0.82 (define @t136 () (and @t135 @t134 @t133 @t132 @t131 @t130 (tptp.l2_altcat_1 @t6))) % 0.39/0.82 (define @t137 () (forall @t10 (=> @t94 @t136))) % 0.39/0.82 (define @t138 () (tptp.k6_waybel34 @t1)) % 0.39/0.82 (define @t139 () (tptp.v16_functor0 @t138 @t5 @t6)) % 0.39/0.82 (define @t140 () (tptp.v9_functor0 @t138 @t5 @t6)) % 0.39/0.82 (define @t141 () (and @t140 @t139 (tptp.m2_functor0 @t138 @t5 @t6))) % 0.39/0.82 (define @t142 () (forall @t10 (=> @t9 @t141))) % 0.39/0.82 (define @t143 () (tptp.v16_functor0 @t4 @t6 @t5)) % 0.39/0.82 (define @t144 () (tptp.v9_functor0 @t4 @t6 @t5)) % 0.39/0.82 (define @t145 () (and (not (tptp.v3_struct_0 @t2)) (tptp.v2_altcat_1 @t2) (tptp.v6_altcat_1 @t2) (tptp.v3_altcat_2 @t2 @t5) (tptp.m1_altcat_2 @t2 @t5))) % 0.39/0.82 (define @t146 () (forall @t10 (=> @t94 @t145))) % 0.39/0.82 (define @t147 () (and (not (tptp.v3_struct_0 @t3)) (tptp.v2_altcat_1 @t3) (tptp.v6_altcat_1 @t3) (tptp.v3_altcat_2 @t3 @t6) (tptp.m1_altcat_2 @t3 @t6))) % 0.39/0.82 (define @t148 () (forall @t10 (=> @t9 @t147))) % 0.39/0.82 (define @t149 () (and @t25 @t24)) % 0.39/0.82 (define @t150 () (tptp.m1_pboole @t19 @t1)) % 0.39/0.82 (define @t151 () (tptp.m2_relset_1 @t18 @t1 @t19)) % 0.39/0.82 (define @t152 () (tptp.m3_pboole @t72 @t1 @t19 @t18)) % 0.39/0.82 (define @t153 () (@list @t72)) % 0.39/0.82 (define @t154 () (and @t150 (tptp.m1_pboole @t18 @t1))) % 0.39/0.82 (define @t155 () (and @t56 @t105)) % 0.39/0.82 (define @t156 () (and @t127 @t126 @t125 (tptp.v9_altcat_1 @t5) @t124 @t123 (tptp.v1_altcat_2 @t5) (tptp.v2_yellow18 @t5) (tptp.v3_yellow18 @t5) (tptp.v4_yellow18 @t5) (tptp.v1_yellow21 @t5) @t122 (tptp.v3_yellow21 @t5))) % 0.39/0.82 (define @t157 () (forall @t10 (=> @t9 @t156))) % 0.39/0.82 (define @t158 () (and @t135 @t134 @t133 (tptp.v9_altcat_1 @t6) @t132 @t131 (tptp.v1_altcat_2 @t6) (tptp.v2_yellow18 @t6) (tptp.v3_yellow18 @t6) (tptp.v4_yellow18 @t6) (tptp.v1_yellow21 @t6) @t130 (tptp.v3_yellow21 @t6))) % 0.39/0.82 (define @t159 () (forall @t10 (=> @t9 @t158))) % 0.39/0.82 (define @t160 () (and (tptp.v6_functor0 @t138 @t5 @t6) (tptp.v8_functor0 @t138 @t5 @t6) @t140 (tptp.v11_functor0 @t138 @t5 @t6) (tptp.v12_functor0 @t138 @t5 @t6) (tptp.v14_functor0 @t138 @t5 @t6) @t139 (tptp.v21_functor0 @t138 @t5 @t6))) % 0.39/0.82 (define @t161 () (forall @t10 (=> @t9 @t160))) % 0.39/0.82 (define @t162 () (@var "H" $$unsorted)) % 0.39/0.82 (define @t163 () (@var "G" $$unsorted)) % 0.39/0.82 (define @t164 () (tptp.v1_xboole_0 @t19)) % 0.39/0.82 (define @t165 () (not @t164)) % 0.39/0.82 (define @t166 () (tptp.k15_functor0 @t6 @t5 @t4)) % 0.39/0.82 (define @t167 () (tptp.k15_functor0 @t5 @t6 @t138)) % 0.39/0.82 (define @t168 () (and (= @t167 @t4) (= @t166 @t138))) % 0.39/0.82 (define @t169 () (=> @t9 @t168)) % 0.39/0.82 (define @t170 () (forall @t10 @t169)) % 0.39/0.82 (define @t171 () (tptp.m1_subset_1 @t1 @t19)) % 0.39/0.82 (define @t172 () (tptp.m1_subset_1 @t19 (tptp.k1_zfmisc_1 @t18))) % 0.39/0.82 (define @t173 () (tptp.r3_yellow20 @t19 @t1 @t121 @t71 @t72)) % 0.39/0.82 (define @t174 () (tptp.r3_yellow20 @t1 @t19 @t18 @t72 @t71)) % 0.39/0.82 (define @t175 () (=> @t174 @t173)) % 0.39/0.82 (define @t176 () (tptp.m1_altcat_2 @t71 @t19)) % 0.39/0.82 (define @t177 () (tptp.v3_altcat_2 @t71 @t19)) % 0.39/0.82 (define @t178 () (tptp.v2_altcat_1 @t71)) % 0.39/0.82 (define @t179 () (tptp.v3_struct_0 @t71)) % 0.39/0.82 (define @t180 () (not @t179)) % 0.39/0.82 (define @t181 () (and @t180 @t178 @t177 @t176)) % 0.39/0.82 (define @t182 () (@list @t71)) % 0.39/0.82 (define @t183 () (forall @t182 (=> @t181 @t175))) % 0.39/0.82 (define @t184 () (tptp.m1_altcat_2 @t72 @t1)) % 0.39/0.82 (define @t185 () (tptp.v3_altcat_2 @t72 @t1)) % 0.39/0.82 (define @t186 () (tptp.v2_altcat_1 @t72)) % 0.39/0.82 (define @t187 () (tptp.v3_struct_0 @t72)) % 0.39/0.82 (define @t188 () (not @t187)) % 0.39/0.82 (define @t189 () (and @t188 @t186 @t185 @t184)) % 0.39/0.82 (define @t190 () (=> @t189 @t183)) % 0.39/0.82 (define @t191 () (forall @t153 @t190)) % 0.39/0.82 (define @t192 () (tptp.v21_functor0 @t18 @t1 @t19)) % 0.39/0.82 (define @t193 () (=> @t192 @t191)) % 0.39/0.82 (define @t194 () (and @t107 @t82)) % 0.39/0.82 (define @t195 () (=> @t194 @t193)) % 0.39/0.82 (define @t196 () (forall @t83 @t195)) % 0.39/0.82 (define @t197 () (and @t48 @t46 @t44 @t43 @t84)) % 0.39/0.82 (define @t198 () (=> @t197 @t196)) % 0.39/0.82 (define @t199 () (forall @t32 @t198)) % 0.39/0.82 (define @t200 () (and @t56 @t54 @t53 @t52 @t17)) % 0.39/0.82 (define @t201 () (=> @t200 @t199)) % 0.39/0.82 (define @t202 () (forall @t10 @t201)) % 0.39/0.82 (define @t203 () (tptp.r3_yellow20 @t5 @t6 @t138 @t2 @t3)) % 0.39/0.82 (define @t204 () (forall @t10 (=> @t9 @t203))) % 0.39/0.82 (define @t205 () (@var "BOUND_VARIABLE_9498" $$unsorted)) % 0.39/0.82 (define @t206 () (@var "BOUND_VARIABLE_9500" $$unsorted)) % 0.39/0.82 (define @t207 () (@var "BOUND_VARIABLE_9496" $$unsorted)) % 0.39/0.82 (define @t208 () (@var "BOUND_VARIABLE_9494" $$unsorted)) % 0.39/0.82 (define @t209 () (tptp.r3_yellow20 @t208 @t1 (tptp.k15_functor0 @t1 @t208 @t207) @t206 @t205)) % 0.39/0.82 (define @t210 () (not (tptp.r3_yellow20 @t1 @t208 @t207 @t205 @t206))) % 0.39/0.82 (define @t211 () (not (tptp.m1_altcat_2 @t206 @t208))) % 0.39/0.82 (define @t212 () (not (tptp.v3_altcat_2 @t206 @t208))) % 0.39/0.82 (define @t213 () (not (tptp.v2_altcat_1 @t206))) % 0.39/0.82 (define @t214 () (tptp.v3_struct_0 @t206)) % 0.39/0.82 (define @t215 () (not (tptp.m1_altcat_2 @t205 @t1))) % 0.39/0.82 (define @t216 () (not (tptp.v3_altcat_2 @t205 @t1))) % 0.39/0.82 (define @t217 () (not (tptp.v2_altcat_1 @t205))) % 0.39/0.82 (define @t218 () (tptp.v3_struct_0 @t205)) % 0.39/0.82 (define @t219 () (not (tptp.v21_functor0 @t207 @t1 @t208))) % 0.39/0.82 (define @t220 () (not (tptp.m2_functor0 @t207 @t1 @t208))) % 0.39/0.82 (define @t221 () (not (tptp.v16_functor0 @t207 @t1 @t208))) % 0.39/0.82 (define @t222 () (not (tptp.l2_altcat_1 @t208))) % 0.39/0.82 (define @t223 () (not (tptp.v12_altcat_1 @t208))) % 0.39/0.82 (define @t224 () (not (tptp.v11_altcat_1 @t208))) % 0.39/0.82 (define @t225 () (not (tptp.v2_altcat_1 @t208))) % 0.39/0.82 (define @t226 () (tptp.v3_struct_0 @t208)) % 0.39/0.82 (define @t227 () (not @t17)) % 0.39/0.82 (define @t228 () (not @t52)) % 0.39/0.82 (define @t229 () (not @t53)) % 0.39/0.82 (define @t230 () (not @t54)) % 0.39/0.82 (define @t231 () (or @t226 @t225 @t224 @t223 @t222 @t221 @t220 @t219 @t218 @t217 @t216 @t215 @t214 @t213 @t212 @t211 @t210 @t209)) % 0.39/0.82 (define @t232 () (or @t55 @t230 @t229 @t228 @t227 @t231)) % 0.39/0.82 (define @t233 () (forall (@list @t1 @t208 @t207 @t205 @t206) @t232)) % 0.39/0.82 (define @t234 () (@list @t208 @t207 @t205 @t206)) % 0.39/0.82 (define @t235 () (forall @t234 @t232)) % 0.39/0.82 (define @t236 () (forall @t234 @t231)) % 0.39/0.82 (define @t237 () (@var "BOUND_VARIABLE_9456" $$unsorted)) % 0.39/0.82 (define @t238 () (@var "BOUND_VARIABLE_9454" $$unsorted)) % 0.39/0.82 (define @t239 () (@var "BOUND_VARIABLE_9452" $$unsorted)) % 0.39/0.82 (define @t240 () (or @t55 @t230 @t229 @t228 @t227 @t236)) % 0.39/0.82 (define @t241 () (tptp.r3_yellow20 @t19 @t1 (tptp.k15_functor0 @t1 @t19 @t239) @t237 @t238)) % 0.39/0.82 (define @t242 () (not (tptp.r3_yellow20 @t1 @t19 @t239 @t238 @t237))) % 0.39/0.82 (define @t243 () (not (tptp.m1_altcat_2 @t237 @t19))) % 0.39/0.82 (define @t244 () (not (tptp.v3_altcat_2 @t237 @t19))) % 0.39/0.82 (define @t245 () (not (tptp.v2_altcat_1 @t237))) % 0.39/0.82 (define @t246 () (tptp.v3_struct_0 @t237)) % 0.39/0.82 (define @t247 () (not (tptp.m1_altcat_2 @t238 @t1))) % 0.39/0.82 (define @t248 () (not (tptp.v3_altcat_2 @t238 @t1))) % 0.39/0.82 (define @t249 () (not (tptp.v2_altcat_1 @t238))) % 0.39/0.82 (define @t250 () (tptp.v3_struct_0 @t238)) % 0.39/0.82 (define @t251 () (not (tptp.v21_functor0 @t239 @t1 @t19))) % 0.39/0.82 (define @t252 () (not (tptp.m2_functor0 @t239 @t1 @t19))) % 0.39/0.82 (define @t253 () (not (tptp.v16_functor0 @t239 @t1 @t19))) % 0.39/0.82 (define @t254 () (not @t84)) % 0.39/0.82 (define @t255 () (not @t43)) % 0.39/0.82 (define @t256 () (not @t44)) % 0.39/0.82 (define @t257 () (not @t46)) % 0.39/0.82 (define @t258 () (or @t47 @t257 @t256 @t255 @t254 @t253 @t252 @t251 @t250 @t249 @t248 @t247 @t246 @t245 @t244 @t243 @t242 @t241)) % 0.39/0.82 (define @t259 () (@list @t19 @t239 @t238 @t237)) % 0.39/0.82 (define @t260 () (forall @t259 @t258)) % 0.39/0.82 (define @t261 () (or @t55 @t230 @t229 @t228 @t227 @t260)) % 0.39/0.82 (define @t262 () (not @t56)) % 0.39/0.82 (define @t263 () (or @t262 @t230 @t229 @t228 @t227)) % 0.39/0.82 (define @t264 () (or @t253 @t252 @t251 @t250 @t249 @t248 @t247 @t246 @t245 @t244 @t243 @t242 @t241)) % 0.39/0.82 (define @t265 () (or @t47 @t257 @t256 @t255 @t254 @t264)) % 0.39/0.82 (define @t266 () (forall @t259 @t265)) % 0.39/0.82 (define @t267 () (@list @t239 @t238 @t237)) % 0.39/0.82 (define @t268 () (forall @t267 @t265)) % 0.39/0.82 (define @t269 () (forall @t267 @t264)) % 0.39/0.82 (define @t270 () (@var "BOUND_VARIABLE_9420" $$unsorted)) % 0.39/0.82 (define @t271 () (@var "BOUND_VARIABLE_9418" $$unsorted)) % 0.39/0.82 (define @t272 () (or @t47 @t257 @t256 @t255 @t254 @t269)) % 0.39/0.82 (define @t273 () (tptp.r3_yellow20 @t19 @t1 @t121 @t270 @t271)) % 0.39/0.82 (define @t274 () (not (tptp.r3_yellow20 @t1 @t19 @t18 @t271 @t270))) % 0.39/0.82 (define @t275 () (not (tptp.m1_altcat_2 @t270 @t19))) % 0.39/0.82 (define @t276 () (not (tptp.v3_altcat_2 @t270 @t19))) % 0.39/0.82 (define @t277 () (not (tptp.v2_altcat_1 @t270))) % 0.39/0.82 (define @t278 () (tptp.v3_struct_0 @t270)) % 0.39/0.82 (define @t279 () (not (tptp.m1_altcat_2 @t271 @t1))) % 0.39/0.82 (define @t280 () (not (tptp.v3_altcat_2 @t271 @t1))) % 0.39/0.82 (define @t281 () (not (tptp.v2_altcat_1 @t271))) % 0.39/0.82 (define @t282 () (tptp.v3_struct_0 @t271)) % 0.39/0.82 (define @t283 () (not @t192)) % 0.39/0.82 (define @t284 () (not @t82)) % 0.39/0.82 (define @t285 () (not @t107)) % 0.39/0.82 (define @t286 () (or @t285 @t284 @t283 @t282 @t281 @t280 @t279 @t278 @t277 @t276 @t275 @t274 @t273)) % 0.39/0.82 (define @t287 () (@list @t18 @t271 @t270)) % 0.39/0.82 (define @t288 () (forall @t287 @t286)) % 0.39/0.82 (define @t289 () (or @t47 @t257 @t256 @t255 @t254 @t288)) % 0.39/0.82 (define @t290 () (not @t48)) % 0.39/0.82 (define @t291 () (or @t290 @t257 @t256 @t255 @t254)) % 0.39/0.82 (define @t292 () (or @t282 @t281 @t280 @t279 @t278 @t277 @t276 @t275 @t274 @t273)) % 0.39/0.82 (define @t293 () (or @t285 @t284 @t283 @t292)) % 0.39/0.82 (define @t294 () (forall @t287 @t293)) % 0.39/0.82 (define @t295 () (@list @t271 @t270)) % 0.39/0.82 (define @t296 () (forall @t295 @t293)) % 0.39/0.82 (define @t297 () (forall @t295 @t292)) % 0.39/0.82 (define @t298 () (@var "BOUND_VARIABLE_9391" $$unsorted)) % 0.39/0.82 (define @t299 () (or @t285 @t284 @t283 @t297)) % 0.39/0.82 (define @t300 () (tptp.r3_yellow20 @t19 @t1 @t121 @t298 @t72)) % 0.39/0.82 (define @t301 () (not (tptp.r3_yellow20 @t1 @t19 @t18 @t72 @t298))) % 0.39/0.82 (define @t302 () (not (tptp.m1_altcat_2 @t298 @t19))) % 0.39/0.82 (define @t303 () (not (tptp.v3_altcat_2 @t298 @t19))) % 0.39/0.82 (define @t304 () (not (tptp.v2_altcat_1 @t298))) % 0.39/0.82 (define @t305 () (tptp.v3_struct_0 @t298)) % 0.39/0.82 (define @t306 () (not @t184)) % 0.39/0.82 (define @t307 () (not @t185)) % 0.39/0.82 (define @t308 () (not @t186)) % 0.39/0.82 (define @t309 () (or @t187 @t308 @t307 @t306 @t305 @t304 @t303 @t302 @t301 @t300)) % 0.39/0.82 (define @t310 () (@list @t72 @t298)) % 0.39/0.82 (define @t311 () (forall @t310 @t309)) % 0.39/0.82 (define @t312 () (or @t285 @t284 @t283 @t311)) % 0.39/0.82 (define @t313 () (=> @t192 @t311)) % 0.39/0.82 (define @t314 () (or @t305 @t304 @t303 @t302 @t301 @t300)) % 0.39/0.82 (define @t315 () (or @t187 @t308 @t307 @t306 @t314)) % 0.39/0.82 (define @t316 () (forall @t310 @t315)) % 0.39/0.82 (define @t317 () (@list @t298)) % 0.39/0.82 (define @t318 () (forall @t317 @t315)) % 0.39/0.82 (define @t319 () (forall @t317 @t314)) % 0.39/0.82 (define @t320 () (or @t187 @t308 @t307 @t306 @t319)) % 0.39/0.82 (define @t321 () (not @t174)) % 0.39/0.82 (define @t322 () (not @t176)) % 0.39/0.82 (define @t323 () (not @t177)) % 0.39/0.82 (define @t324 () (not @t178)) % 0.39/0.82 (define @t325 () (or @t179 @t324 @t323 @t322 @t321 @t173)) % 0.39/0.82 (define @t326 () (forall @t182 @t325)) % 0.39/0.82 (define @t327 () (or @t187 @t308 @t307 @t306 @t326)) % 0.39/0.82 (define @t328 () (not @t188)) % 0.39/0.82 (define @t329 () (or @t328 @t308 @t307 @t306)) % 0.39/0.82 (define @t330 () (not @t180)) % 0.39/0.82 (define @t331 () (or @t330 @t324 @t323 @t322)) % 0.39/0.82 (define @t332 () (@quantifiers_skolemize (forall @t10 (or @t8 @t7)) 0)) % 0.39/0.82 (define @t333 () (tptp.k9_waybel34 @t332)) % 0.39/0.82 (define @t334 () (tptp.k8_waybel34 @t332)) % 0.39/0.82 (define @t335 () (tptp.k6_waybel34 @t332)) % 0.39/0.82 (define @t336 () (tptp.k5_waybel34 @t332)) % 0.39/0.82 (define @t337 () (tptp.k4_waybel34 @t332)) % 0.39/0.82 (define @t338 () (not @t9)) % 0.39/0.82 (define @t339 () (@list @t332)) % 0.39/0.82 (define @t340 () (tptp.k7_waybel34 @t332)) % 0.39/0.82 (define @t341 () (tptp.r3_yellow20 @t336 @t337 @t340 @t333 @t334)) % 0.39/0.82 (define @t342 () (tptp.v2_setfam_1 @t332)) % 0.39/0.82 (define @t343 () (or @t342 @t341)) % 0.39/0.82 (define @t344 () (@list true)) % 0.39/0.82 (define @t345 () (@list @t343)) % 0.39/0.82 (define @t346 () (tptp.r3_yellow20 @t337 @t336 @t335 @t334 @t333)) % 0.39/0.82 (define @t347 () (or @t342 @t346)) % 0.39/0.82 (define @t348 () (@list true false)) % 0.39/0.82 (define @t349 () (tptp.v21_functor0 @t335 @t337 @t336)) % 0.39/0.82 (define @t350 () (tptp.v16_functor0 @t335 @t337 @t336)) % 0.39/0.82 (define @t351 () (tptp.v9_functor0 @t335 @t337 @t336)) % 0.39/0.82 (define @t352 () (and (tptp.v6_functor0 @t335 @t337 @t336) (tptp.v8_functor0 @t335 @t337 @t336) @t351 (tptp.v11_functor0 @t335 @t337 @t336) (tptp.v12_functor0 @t335 @t337 @t336) (tptp.v14_functor0 @t335 @t337 @t336) @t350 @t349)) % 0.39/0.82 (define @t353 () (or @t342 @t352)) % 0.39/0.82 (define @t354 () (@list false)) % 0.39/0.82 (define @t355 () (tptp.m1_altcat_2 @t333 @t336)) % 0.39/0.82 (define @t356 () (tptp.v3_altcat_2 @t333 @t336)) % 0.39/0.82 (define @t357 () (tptp.v2_altcat_1 @t333)) % 0.39/0.82 (define @t358 () (tptp.v3_struct_0 @t333)) % 0.39/0.82 (define @t359 () (not @t358)) % 0.39/0.82 (define @t360 () (and @t359 @t357 (tptp.v6_altcat_1 @t333) @t356 @t355)) % 0.39/0.82 (define @t361 () (or @t342 @t360)) % 0.39/0.82 (define @t362 () (not @t360)) % 0.39/0.82 (define @t363 () (@list @t360)) % 0.39/0.82 (define @t364 () (not @t94)) % 0.39/0.82 (define @t365 () (tptp.v1_xboole_0 @t332)) % 0.39/0.82 (define @t366 () (not @t365)) % 0.39/0.82 (define @t367 () (or @t342 @t366)) % 0.39/0.82 (define @t368 () (tptp.m1_altcat_2 @t334 @t337)) % 0.39/0.82 (define @t369 () (tptp.v3_altcat_2 @t334 @t337)) % 0.39/0.82 (define @t370 () (tptp.v2_altcat_1 @t334)) % 0.39/0.82 (define @t371 () (tptp.v3_struct_0 @t334)) % 0.39/0.82 (define @t372 () (not @t371)) % 0.39/0.82 (define @t373 () (and @t372 @t370 (tptp.v6_altcat_1 @t334) @t369 @t368)) % 0.39/0.82 (define @t374 () (or @t365 @t373)) % 0.39/0.82 (define @t375 () (not @t373)) % 0.39/0.82 (define @t376 () (@list @t373)) % 0.39/0.82 (define @t377 () (tptp.m2_functor0 @t335 @t337 @t336)) % 0.39/0.82 (define @t378 () (and @t351 @t350 @t377)) % 0.39/0.82 (define @t379 () (or @t342 @t378)) % 0.39/0.82 (define @t380 () (not @t378)) % 0.39/0.82 (define @t381 () (@list @t378)) % 0.39/0.82 (define @t382 () (tptp.l2_altcat_1 @t336)) % 0.39/0.82 (define @t383 () (tptp.v2_yellow21 @t336)) % 0.39/0.82 (define @t384 () (tptp.v12_altcat_1 @t336)) % 0.39/0.82 (define @t385 () (tptp.v11_altcat_1 @t336)) % 0.39/0.82 (define @t386 () (tptp.v6_altcat_1 @t336)) % 0.39/0.82 (define @t387 () (tptp.v2_altcat_1 @t336)) % 0.39/0.82 (define @t388 () (tptp.v3_struct_0 @t336)) % 0.39/0.82 (define @t389 () (not @t388)) % 0.39/0.82 (define @t390 () (and @t389 @t387 @t386 @t385 @t384 @t383 @t382)) % 0.39/0.82 (define @t391 () (or @t365 @t390)) % 0.39/0.82 (define @t392 () (and @t389 @t387 @t386 (tptp.v9_altcat_1 @t336) @t385 @t384 (tptp.v1_altcat_2 @t336) (tptp.v2_yellow18 @t336) (tptp.v3_yellow18 @t336) (tptp.v4_yellow18 @t336) (tptp.v1_yellow21 @t336) @t383 (tptp.v3_yellow21 @t336))) % 0.39/0.82 (define @t393 () (or @t342 @t392)) % 0.39/0.82 (define @t394 () (not @t392)) % 0.39/0.82 (define @t395 () (@list @t392)) % 0.39/0.82 (define @t396 () (tptp.l2_altcat_1 @t337)) % 0.39/0.82 (define @t397 () (tptp.v2_yellow21 @t337)) % 0.39/0.82 (define @t398 () (tptp.v12_altcat_1 @t337)) % 0.39/0.82 (define @t399 () (tptp.v11_altcat_1 @t337)) % 0.39/0.82 (define @t400 () (tptp.v6_altcat_1 @t337)) % 0.39/0.82 (define @t401 () (tptp.v2_altcat_1 @t337)) % 0.39/0.82 (define @t402 () (tptp.v3_struct_0 @t337)) % 0.39/0.82 (define @t403 () (not @t402)) % 0.39/0.82 (define @t404 () (and @t403 @t401 @t400 @t399 @t398 @t397 @t396)) % 0.39/0.82 (define @t405 () (or @t365 @t404)) % 0.39/0.82 (define @t406 () (and @t403 @t401 @t400 (tptp.v9_altcat_1 @t337) @t399 @t398 (tptp.v1_altcat_2 @t337) (tptp.v2_yellow18 @t337) (tptp.v3_yellow18 @t337) (tptp.v4_yellow18 @t337) (tptp.v1_yellow21 @t337) @t397 (tptp.v3_yellow21 @t337))) % 0.39/0.82 (define @t407 () (or @t342 @t406)) % 0.39/0.82 (define @t408 () (not @t406)) % 0.39/0.82 (define @t409 () (@list @t406)) % 0.39/0.82 (define @t410 () (tptp.k15_functor0 @t337 @t336 @t335)) % 0.39/0.82 (define @t411 () (tptp.r3_yellow20 @t336 @t337 @t410 @t333 @t334)) % 0.39/0.82 (define @t412 () (not @t346)) % 0.39/0.82 (define @t413 () (not @t355)) % 0.39/0.82 (define @t414 () (not @t356)) % 0.39/0.82 (define @t415 () (not @t357)) % 0.39/0.82 (define @t416 () (not @t368)) % 0.39/0.82 (define @t417 () (not @t369)) % 0.39/0.82 (define @t418 () (not @t370)) % 0.39/0.82 (define @t419 () (not @t349)) % 0.39/0.82 (define @t420 () (not @t377)) % 0.39/0.82 (define @t421 () (not @t350)) % 0.39/0.82 (define @t422 () (not @t382)) % 0.39/0.82 (define @t423 () (not @t384)) % 0.39/0.82 (define @t424 () (not @t385)) % 0.39/0.82 (define @t425 () (not @t387)) % 0.39/0.82 (define @t426 () (not @t396)) % 0.39/0.82 (define @t427 () (not @t398)) % 0.39/0.82 (define @t428 () (not @t399)) % 0.39/0.82 (define @t429 () (not @t401)) % 0.39/0.82 (define @t430 () (or @t402 @t429 @t428 @t427 @t426 @t388 @t425 @t424 @t423 @t422 @t421 @t420 @t419 @t371 @t418 @t417 @t416 @t358 @t415 @t414 @t413 @t412 @t411)) % 0.39/0.82 (define @t431 () (and (= @t4 @t167) (= @t138 @t166))) % 0.39/0.82 (define @t432 () (= @t340 @t410)) % 0.39/0.82 (define @t433 () (and @t432 (= @t335 (tptp.k15_functor0 @t336 @t337 @t340)))) % 0.39/0.82 (define @t434 () (or @t342 @t433)) % 0.39/0.82 (assume @p1 @t12) % 0.39/0.82 (assume @p2 (forall @t10 (=> @t17 (=> @t16 (= @t1 (tptp.g2_altcat_1 @t15 @t14 @t13)))))) % 0.39/0.82 (assume @p3 (forall @t27 (=> @t26 (=> @t22 (= @t18 (tptp.g2_functor0 @t1 @t19 @t21 @t20)))))) % 0.39/0.82 (assume @p4 (forall @t29 (=> @t28 (not (tptp.r2_hidden @t19 @t1))))) % 0.39/0.82 (assume @p5 (forall @t10 (=> @t33 (forall @t32 (=> @t31 @t30))))) % 0.39/0.82 (assume @p6 (forall @t10 (=> @t35 (forall @t32 (=> @t31 (and @t30 @t34)))))) % 0.39/0.82 (assume @p7 (forall @t10 (=> (and @t56 @t54 @t53 @t52 @t51 @t17) (forall @t32 (=> @t50 (=> @t49 (and @t48 @t46 @t45 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t37 @t36 (tptp.v3_yellow21 @t19)))))))) % 0.39/0.82 (assume @p8 (forall @t10 (=> @t58 (forall @t32 (=> @t31 (and @t30 @t34 @t57)))))) % 0.39/0.82 (assume @p9 (forall @t10 (=> @t60 (forall @t32 (=> @t31 (and @t30 @t34 @t59 @t57)))))) % 0.39/0.82 (assume @p10 (forall @t10 (=> @t61 (forall @t32 (=> @t31 (and @t30 (tptp.v4_ordinal2 @t19) @t34 @t59 @t57)))))) % 0.39/0.82 (assume @p11 (forall @t10 (=> @t62 (and @t33 @t35 @t58 @t60 @t61)))) % 0.39/0.82 (assume @p12 (forall @t10 (=> @t33 (forall @t32 (=> @t64 @t63))))) % 0.39/0.82 (assume @p13 (forall @t10 (=> @t35 (forall @t32 (=> @t64 (and @t63 @t65)))))) % 0.39/0.82 (assume @p14 (forall @t10 (=> @t58 (forall @t32 (=> @t64 (and @t63 @t65 @t66)))))) % 0.39/0.82 (assume @p15 (forall @t10 (=> @t60 (forall @t32 (=> @t64 (and @t63 @t65 @t66 @t67)))))) % 0.39/0.82 (assume @p16 (forall @t10 (=> @t62 @t68))) % 0.39/0.82 (assume @p17 (forall @t10 (=> @t62 @t69))) % 0.39/0.82 (assume @p18 (forall @t79 (=> @t78 (forall @t74 (=> @t73 (tptp.v1_funcop_1 @t70)))))) % 0.39/0.82 (assume @p19 (forall @t29 (=> @t85 (forall @t83 (=> @t82 (and @t81 @t80)))))) % 0.39/0.82 (assume @p20 (forall @t10 (=> @t61 @t60))) % 0.39/0.82 (assume @p21 (forall @t27 (=> @t87 (tptp.v1_relat_1 @t18)))) % 0.39/0.82 (assume @p22 (forall @t10 (=> @t17 (=> (and @t56 @t54 @t53 @t52 @t51) (and @t56 @t54 @t53 @t52 @t89 @t88))))) % 0.39/0.82 (assume @p23 (forall @t10 (=> @t61 (forall @t32 (=> @t64 (and @t63 @t65 @t66 @t67 (tptp.v5_membered @t19))))))) % 0.39/0.82 (assume @p24 (forall @t10 (=> @t68 (forall @t32 (=> @t64 @t90))))) % 0.39/0.82 (assume @p25 (forall @t10 (=> @t93 @t92))) % 0.39/0.82 (assume @p26 (forall @t10 (=> @t17 (=> (and @t56 @t52) (and @t56 @t89))))) % 0.39/0.82 (assume @p27 (forall @t10 (=> @t60 @t58))) % 0.39/0.82 (assume @p28 @t95) % 0.39/0.82 (assume @p29 (forall @t10 (=> @t17 (=> (and @t56 @t54 @t53 @t52 @t88) (and @t56 @t54 @t100 @t53 @t52 @t89 @t99 @t98 @t97 @t96))))) % 0.39/0.82 (assume @p30 (forall @t10 (=> @t58 @t35))) % 0.39/0.82 (assume @p31 (forall @t29 (=> (and @t105 @t48 @t104) (forall @t83 (=> @t103 (=> @t102 @t101)))))) % 0.39/0.82 (assume @p32 (forall @t29 (=> @t85 (forall @t83 (=> @t82 (=> @t107 (and @t101 @t81 @t102 @t80 @t106))))))) % 0.39/0.82 (assume @p33 (forall @t10 (=> @t35 @t33))) % 0.39/0.82 (assume @p34 (forall @t29 (=> @t85 (forall @t83 (=> @t82 (=> (and @t102 @t106) (and @t101 @t81 @t80 @t107))))))) % 0.39/0.82 (assume @p35 (forall @t10 (=> (and @t56 @t54 @t53 @t52 @t98 @t17) (forall @t32 (=> @t50 (=> @t49 (and @t48 @t46 @t44 @t43 @t42 @t41 @t39))))))) % 0.39/0.82 (assume @p36 (forall @t29 (=> @t85 (forall @t83 (=> @t82 (=> @t107 @t101)))))) % 0.39/0.82 (assume @p37 (forall @t10 (=> (and @t56 @t54 @t53 @t52 @t99 @t17) (forall @t32 (=> @t50 (=> @t49 (and @t48 @t46 @t44 @t43 @t42 @t41 @t40))))))) % 0.39/0.82 (assume @p38 (forall @t10 (=> (and @t56 @t54 @t100 @t53 @t52 @t17) (forall @t32 (=> @t50 (=> (and @t48 @t46) (and @t48 @t46 @t45 @t44))))))) % 0.39/0.82 (assume @p39 (forall @t10 (=> (and @t56 @t54 @t53 @t52 @t96 @t17) (forall @t32 (=> @t50 (=> @t49 (and @t48 @t46 @t44 @t43 @t42 @t41 @t37))))))) % 0.39/0.82 (assume @p40 (forall @t10 (=> (and @t56 @t54 @t53 @t52 @t88 @t17) (forall @t32 (=> @t50 (=> @t49 (and @t48 @t46 @t45 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t37 @t36))))))) % 0.39/0.82 (assume @p41 (forall @t27 (=> @t113 (and (tptp.v6_altcat_1 @t108) (tptp.l2_altcat_1 @t108))))) % 0.39/0.82 (assume @p42 (forall @t120 (=> @t119 (and (tptp.v9_functor0 @t114 @t1 @t19) (tptp.l2_functor0 @t114 @t1 @t19))))) % 0.39/0.82 (assume @p43 (forall @t27 (=> (and @t56 @t25 @t48 @t24 @t23) (and (tptp.v9_functor0 @t121 @t19 @t1) (tptp.l2_functor0 @t121 @t19 @t1))))) % 0.39/0.82 (assume @p44 true) % 0.39/0.82 (assume @p45 (forall @t29 (=> @t112 (tptp.m1_pboole @t109 @t110)))) % 0.39/0.82 (assume @p46 (forall @t27 (=> (and @t112 (tptp.m1_pboole @t18 @t111)) (tptp.m1_pboole (tptp.k3_altcat_1 @t1 @t19 @t18) @t110)))) % 0.39/0.82 (assume @p47 @t129) % 0.39/0.82 (assume @p48 @t137) % 0.39/0.82 (assume @p49 @t142) % 0.39/0.82 (assume @p50 (forall @t10 (=> @t9 (and @t144 @t143 (tptp.m2_functor0 @t4 @t6 @t5))))) % 0.39/0.82 (assume @p51 @t146) % 0.39/0.82 (assume @p52 @t148) % 0.39/0.82 (assume @p53 (forall @t10 (=> @t25 @t105))) % 0.39/0.82 (assume @p54 (forall @t10 (=> @t17 @t25))) % 0.39/0.82 (assume @p55 (forall @t29 (=> @t149 (forall @t83 (=> @t23 @t103))))) % 0.39/0.82 (assume @p56 (forall @t10 (=> @t17 (forall @t32 (=> @t50 @t84))))) % 0.39/0.82 (assume @p57 (forall @t79 (=> @t78 (forall @t74 (=> @t73 (tptp.m1_pboole @t70 @t1)))))) % 0.39/0.82 (assume @p58 (forall @t29 (=> @t150 (and (tptp.v1_relat_1 @t19) (tptp.v1_funct_1 @t19))))) % 0.39/0.82 (assume @p59 (forall @t29 (=> @t85 (forall @t83 (=> @t82 @t23))))) % 0.39/0.82 (assume @p60 (forall @t27 (=> @t151 @t87))) % 0.39/0.82 (assume @p61 (forall @t27 (=> @t154 (forall @t153 (=> @t152 @t75))))) % 0.39/0.82 (assume @p62 (forall @t10 (=> @t25 (tptp.m1_pboole @t14 @t118)))) % 0.39/0.82 (assume @p63 (forall @t27 (=> (and @t105 @t104 @t103) (and (tptp.v1_funct_1 @t21) (tptp.v1_funct_2 @t21 @t118 @t117) (tptp.m2_relset_1 @t21 @t118 @t117))))) % 0.39/0.82 (assume @p64 (forall @t10 (=> @t17 (tptp.m3_pboole @t13 (tptp.k3_zfmisc_1 @t15 @t15 @t15) (tptp.k3_altcat_1 @t15 @t14 @t14) (tptp.k2_altcat_1 @t15 @t14))))) % 0.39/0.82 (assume @p65 (forall @t27 (=> @t26 (tptp.m1_functor0 @t20 @t118 @t117 @t21 @t14 @t115)))) % 0.39/0.82 (assume @p66 (exists @t10 @t25)) % 0.39/0.82 (assume @p67 (forall @t29 (=> (and @t105 @t104) (exists @t83 @t103)))) % 0.39/0.82 (assume @p68 (exists @t10 @t105)) % 0.39/0.82 (assume @p69 (exists @t10 @t17)) % 0.39/0.82 (assume @p70 (forall @t29 (=> @t149 (exists @t83 @t23)))) % 0.39/0.82 (assume @p71 (forall @t10 (=> @t17 (exists @t32 @t50)))) % 0.39/0.82 (assume @p72 (forall @t79 (=> @t78 (exists @t74 @t73)))) % 0.39/0.82 (assume @p73 (forall @t10 (exists @t32 @t150))) % 0.39/0.82 (assume @p74 (forall @t29 (exists @t83 @t76))) % 0.39/0.82 (assume @p75 (forall @t10 (exists @t32 @t31))) % 0.39/0.82 (assume @p76 (forall @t29 (=> @t85 (exists @t83 @t82)))) % 0.39/0.82 (assume @p77 (forall @t29 (exists @t83 @t151))) % 0.39/0.82 (assume @p78 (forall @t27 (=> @t154 (exists @t153 @t152)))) % 0.39/0.82 (assume @p79 (forall @t29 (=> (and @t68 @t90) (tptp.v1_finset_1 @t86)))) % 0.39/0.82 (assume @p80 (forall @t27 (=> (and @t68 @t90 (tptp.v1_finset_1 @t18)) (tptp.v1_finset_1 (tptp.k3_zfmisc_1 @t1 @t19 @t18))))) % 0.39/0.82 (assume @p81 (forall @t10 (=> @t155 (not (tptp.v1_xboole_0 @t15))))) % 0.39/0.82 (assume @p82 @t157) % 0.39/0.82 (assume @p83 (and (tptp.v1_xboole_0 tptp.k1_xboole_0) (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0))) % 0.39/0.82 (assume @p84 @t159) % 0.39/0.82 (assume @p85 (forall @t27 (=> @t26 (and (tptp.v1_relat_1 @t20) (tptp.v1_funct_1 @t20) (tptp.v1_funcop_1 @t20))))) % 0.39/0.82 (assume @p86 @t161) % 0.39/0.82 (assume @p87 (forall @t10 (=> @t9 (and (tptp.v6_functor0 @t4 @t6 @t5) (tptp.v8_functor0 @t4 @t6 @t5) @t144 (tptp.v11_functor0 @t4 @t6 @t5) (tptp.v12_functor0 @t4 @t6 @t5) (tptp.v14_functor0 @t4 @t6 @t5) @t143 (tptp.v21_functor0 @t4 @t6 @t5))))) % 0.39/0.82 (assume @p88 (forall @t27 (=> @t113 (forall (@list @t72 @t71 @t70) (=> (= @t108 (tptp.g2_altcat_1 @t72 @t71 @t70)) (and (= @t1 @t72) (= @t19 @t71) (= @t18 @t70))))))) % 0.39/0.82 (assume @p89 (forall @t120 (=> @t119 (forall (@list @t71 @t70 @t163 @t162) (=> (= @t114 (tptp.g2_functor0 @t71 @t70 @t163 @t162)) (and (= @t1 @t71) (= @t19 @t70) (= @t18 @t163) (= @t72 @t162))))))) % 0.39/0.82 (assume @p90 (exists @t10 (and @t94 @t68))) % 0.39/0.82 (assume @p91 (exists @t10 (and @t91 @t69))) % 0.39/0.82 (assume @p92 (exists @t10 (and @t94 @t33 @t35 @t58 @t60 @t61))) % 0.39/0.82 (assume @p93 (exists @t10 (and @t17 @t56 @t54 @t16 @t100 @t53 @t52 @t89 @t99 @t98 @t97 @t96 @t88 @t51))) % 0.39/0.82 (assume @p94 (exists @t10 @t93)) % 0.39/0.82 (assume @p95 (exists @t10 @t9)) % 0.39/0.82 (assume @p96 (forall @t10 (=> @t94 (exists @t32 (and @t64 @t165 @t90))))) % 0.39/0.82 (assume @p97 (exists @t10 @t92)) % 0.39/0.82 (assume @p98 (forall @t29 (=> @t149 (exists @t83 (and @t23 @t22))))) % 0.39/0.82 (assume @p99 (forall @t10 (=> @t9 (exists @t32 (and @t31 @t165))))) % 0.39/0.82 (assume @p100 (exists @t10 (and @t105 @t56))) % 0.39/0.82 (assume @p101 (forall @t29 (=> @t149 (exists @t83 (and @t23 @t102))))) % 0.39/0.82 (assume @p102 (forall @t10 (=> @t155 (exists @t32 (and (tptp.m1_subset_1 @t19 (tptp.k1_zfmisc_1 @t15)) @t165))))) % 0.39/0.82 (assume @p103 (exists @t10 (and @t17 @t56 @t89))) % 0.39/0.82 (assume @p104 (forall @t29 (=> (and @t56 @t25 @t48 @t42 @t24) (exists @t83 (and @t23 @t101 @t81))))) % 0.39/0.82 (assume @p105 (forall @t29 (=> (and @t56 @t52 @t17 @t48 @t43 @t84) (exists @t83 (and @t23 @t101 @t81 @t22 @t80))))) % 0.39/0.82 (assume @p106 (forall @t27 (= @t151 @t76))) % 0.39/0.82 (assume @p107 (forall @t29 (tptp.r1_tarski @t1 @t1))) % 0.39/0.82 (assume @p108 @t170) % 0.39/0.82 (assume @p109 (forall @t29 (=> @t28 @t171))) % 0.39/0.82 (assume @p110 (forall @t29 (=> @t171 (or @t164 @t28)))) % 0.39/0.82 (assume @p111 (forall @t29 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t19)) (tptp.r1_tarski @t1 @t19)))) % 0.39/0.82 (assume @p112 (forall @t27 (=> (and @t28 @t172) (tptp.m1_subset_1 @t1 @t18)))) % 0.39/0.82 (assume @p113 @t202) % 0.39/0.82 (assume @p114 @t204) % 0.39/0.82 (assume @p115 (forall @t27 (not (and @t28 @t172 (tptp.v1_xboole_0 @t18))))) % 0.39/0.82 (assume @p116 (forall @t10 (=> @t62 (= @t1 tptp.k1_xboole_0)))) % 0.39/0.82 (assume @p117 (forall @t29 (not (and @t28 @t164)))) % 0.39/0.82 (assume @p118 (forall @t29 (not (and @t62 (not (= @t1 @t19)) @t164)))) % 0.39/0.82 (step @p119 :rule evaluate :args ((= false true))) % 0.39/0.82 (step @p120 :rule aci_norm :args ((= @t232 (or @t55 @t230 @t229 @t228 @t227 @t226 @t225 @t224 @t223 @t222 @t221 @t220 @t219 @t218 @t217 @t216 @t215 @t214 @t213 @t212 @t211 @t210 @t209)))) % 0.39/0.82 (step @p121 :rule cong :premises (@p120) :args (@t233)) % 0.39/0.82 (step @p122 :rule quant-merge-prenex :args ((= (forall @t10 @t235) @t233))) % 0.39/0.82 (step @p123 :rule alpha_equiv :args (@t236 (@list @t208 @t207 @t205 @t206) (@list @t19 @t239 @t238 @t237))) % 0.39/0.82 (step @p124 :rule refl :args (@t227)) % 0.39/0.82 (step @p125 :rule refl :args (@t228)) % 0.39/0.82 (step @p126 :rule refl :args (@t229)) % 0.39/0.82 (step @p127 :rule refl :args (@t230)) % 0.39/0.82 (step @p128 :rule refl :args (@t55)) % 0.39/0.82 (step @p129 :rule nary_cong :premises (@p128 @p127 @p126 @p125 @p124 @p123) :args (@t240)) % 0.39/0.82 (step @p130 :rule quant-miniscope-or :args ((= @t235 @t240))) % 0.39/0.82 (step @p131 :rule trans :premises (@p130 @p129)) % 0.39/0.82 (step @p132 :rule symm :premises (@p131)) % 0.39/0.82 (step @p133 :rule cong :premises (@p132) :args ((forall @t10 @t261))) % 0.39/0.82 (step @p134 :rule trans :premises (@p133 @p122)) % 0.39/0.82 (step @p135 :rule trans :premises (@p134 @p121)) % 0.39/0.82 (step @p136 :rule aci_norm :args ((= (or (or @t55 @t230 @t229 @t228 @t227) @t260) @t261))) % 0.39/0.82 (step @p137 :rule refl :args (@t260)) % 0.39/0.82 (step @p138 :rule bool-double-not-elim :args (@t55)) % 0.39/0.82 (step @p139 :rule nary_cong :premises (@p138 @p127 @p126 @p125 @p124) :args (@t263)) % 0.39/0.82 (step @p140 :rule aci_norm :args ((= (or @t262 (or @t230 (or @t229 (or @t228 @t227)))) @t263))) % 0.39/0.82 (step @p141 :rule trans :premises (@p140 @p139)) % 0.39/0.82 (step @p142 :rule bool-and-de-morgan :args (@t52 @t17 true)) % 0.39/0.82 (step @p143 :rule nary_cong :premises (@p126 @p142) :args ((or @t229 (not (and @t52 @t17))))) % 0.39/0.82 (step @p144 :rule bool-and-de-morgan :args (@t53 @t52 (and @t17))) % 0.39/0.82 (step @p145 :rule trans :premises (@p144 @p143)) % 0.39/0.82 (step @p146 :rule nary_cong :premises (@p127 @p145) :args ((or @t230 (not (and @t53 @t52 @t17))))) % 0.39/0.82 (step @p147 :rule bool-and-de-morgan :args (@t54 @t53 (and @t52 @t17))) % 0.39/0.82 (step @p148 :rule trans :premises (@p147 @p146)) % 0.39/0.82 (step @p149 :rule refl :args (@t262)) % 0.39/0.82 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or @t262 (not (and @t54 @t53 @t52 @t17))))) % 0.39/0.82 (step @p151 :rule bool-and-de-morgan :args (@t56 @t54 (and @t53 @t52 @t17))) % 0.39/0.82 (step @p152 :rule trans :premises (@p151 @p150)) % 0.39/0.82 (step @p153 :rule trans :premises (@p152 @p141)) % 0.39/0.82 (step @p154 :rule nary_cong :premises (@p153 @p137) :args ((or (not @t200) @t260))) % 0.39/0.82 (step @p155 :rule trans :premises (@p154 @p136)) % 0.39/0.82 (step @p156 :rule bool-impl-elim :args (@t200 @t260)) % 0.39/0.82 (step @p157 :rule trans :premises (@p156 @p155)) % 0.39/0.82 (step @p158 :rule cong :premises (@p157) :args ((forall @t10 (=> @t200 @t260)))) % 0.39/0.82 (step @p159 :rule trans :premises (@p158 @p135)) % 0.39/0.82 (step @p160 :rule aci_norm :args ((= @t265 @t258))) % 0.39/0.82 (step @p161 :rule cong :premises (@p160) :args (@t266)) % 0.39/0.82 (step @p162 :rule quant-merge-prenex :args ((= (forall @t32 @t268) @t266))) % 0.39/0.82 (step @p163 :rule alpha_equiv :args (@t269 (@list @t239 @t238 @t237) (@list @t18 @t271 @t270))) % 0.39/0.82 (step @p164 :rule refl :args (@t254)) % 0.39/0.82 (step @p165 :rule refl :args (@t255)) % 0.39/0.82 (step @p166 :rule refl :args (@t256)) % 0.39/0.82 (step @p167 :rule refl :args (@t257)) % 0.39/0.82 (step @p168 :rule refl :args (@t47)) % 0.39/0.82 (step @p169 :rule nary_cong :premises (@p168 @p167 @p166 @p165 @p164 @p163) :args (@t272)) % 0.39/0.82 (step @p170 :rule quant-miniscope-or :args ((= @t268 @t272))) % 0.39/0.82 (step @p171 :rule trans :premises (@p170 @p169)) % 0.39/0.82 (step @p172 :rule symm :premises (@p171)) % 0.39/0.82 (step @p173 :rule cong :premises (@p172) :args ((forall @t32 @t289))) % 0.39/0.82 (step @p174 :rule trans :premises (@p173 @p162)) % 0.39/0.82 (step @p175 :rule trans :premises (@p174 @p161)) % 0.39/0.82 (step @p176 :rule aci_norm :args ((= (or (or @t47 @t257 @t256 @t255 @t254) @t288) @t289))) % 0.39/0.82 (step @p177 :rule refl :args (@t288)) % 0.39/0.82 (step @p178 :rule bool-double-not-elim :args (@t47)) % 0.39/0.82 (step @p179 :rule nary_cong :premises (@p178 @p167 @p166 @p165 @p164) :args (@t291)) % 0.39/0.82 (step @p180 :rule aci_norm :args ((= (or @t290 (or @t257 (or @t256 (or @t255 @t254)))) @t291))) % 0.39/0.82 (step @p181 :rule trans :premises (@p180 @p179)) % 0.39/0.82 (step @p182 :rule bool-and-de-morgan :args (@t43 @t84 true)) % 0.39/0.82 (step @p183 :rule nary_cong :premises (@p166 @p182) :args ((or @t256 (not (and @t43 @t84))))) % 0.39/0.82 (step @p184 :rule bool-and-de-morgan :args (@t44 @t43 (and @t84))) % 0.39/0.82 (step @p185 :rule trans :premises (@p184 @p183)) % 0.39/0.82 (step @p186 :rule nary_cong :premises (@p167 @p185) :args ((or @t257 (not (and @t44 @t43 @t84))))) % 0.39/0.82 (step @p187 :rule bool-and-de-morgan :args (@t46 @t44 (and @t43 @t84))) % 0.39/0.82 (step @p188 :rule trans :premises (@p187 @p186)) % 0.39/0.82 (step @p189 :rule refl :args (@t290)) % 0.39/0.82 (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((or @t290 (not (and @t46 @t44 @t43 @t84))))) % 0.39/0.82 (step @p191 :rule bool-and-de-morgan :args (@t48 @t46 (and @t44 @t43 @t84))) % 0.39/0.82 (step @p192 :rule trans :premises (@p191 @p190)) % 0.39/0.82 (step @p193 :rule trans :premises (@p192 @p181)) % 0.39/0.82 (step @p194 :rule nary_cong :premises (@p193 @p177) :args ((or (not @t197) @t288))) % 0.39/0.82 (step @p195 :rule trans :premises (@p194 @p176)) % 0.39/0.82 (step @p196 :rule bool-impl-elim :args (@t197 @t288)) % 0.39/0.82 (step @p197 :rule trans :premises (@p196 @p195)) % 0.39/0.82 (step @p198 :rule cong :premises (@p197) :args ((forall @t32 (=> @t197 @t288)))) % 0.39/0.82 (step @p199 :rule trans :premises (@p198 @p175)) % 0.39/0.82 (step @p200 :rule aci_norm :args ((= @t293 @t286))) % 0.39/0.82 (step @p201 :rule cong :premises (@p200) :args (@t294)) % 0.39/0.82 (step @p202 :rule quant-merge-prenex :args ((= (forall @t83 @t296) @t294))) % 0.39/0.82 (step @p203 :rule alpha_equiv :args (@t297 (@list @t271 @t270) (@list @t72 @t298))) % 0.39/0.82 (step @p204 :rule refl :args (@t283)) % 0.39/0.82 (step @p205 :rule refl :args (@t284)) % 0.39/0.82 (step @p206 :rule refl :args (@t285)) % 0.39/0.82 (step @p207 :rule nary_cong :premises (@p206 @p205 @p204 @p203) :args (@t299)) % 0.39/0.82 (step @p208 :rule quant-miniscope-or :args ((= @t296 @t299))) % 0.39/0.82 (step @p209 :rule trans :premises (@p208 @p207)) % 0.39/0.82 (step @p210 :rule symm :premises (@p209)) % 0.39/0.82 (step @p211 :rule cong :premises (@p210) :args ((forall @t83 @t312))) % 0.39/0.82 (step @p212 :rule trans :premises (@p211 @p202)) % 0.39/0.82 (step @p213 :rule trans :premises (@p212 @p201)) % 0.39/0.82 (step @p214 :rule aci_norm :args ((= (or (or @t285 @t284) (or @t283 @t311)) @t312))) % 0.39/0.82 (step @p215 :rule bool-impl-elim :args (@t192 @t311)) % 0.39/0.82 (step @p216 :rule bool-and-de-morgan :args (@t107 @t82 true)) % 0.39/0.82 (step @p217 :rule nary_cong :premises (@p216 @p215) :args ((or (not @t194) @t313))) % 0.39/0.82 (step @p218 :rule trans :premises (@p217 @p214)) % 0.39/0.82 (step @p219 :rule bool-impl-elim :args (@t194 @t313)) % 0.39/0.82 (step @p220 :rule trans :premises (@p219 @p218)) % 0.39/0.82 (step @p221 :rule cong :premises (@p220) :args ((forall @t83 (=> @t194 @t313)))) % 0.39/0.82 (step @p222 :rule trans :premises (@p221 @p213)) % 0.39/0.82 (step @p223 :rule aci_norm :args ((= @t315 @t309))) % 0.39/0.82 (step @p224 :rule cong :premises (@p223) :args (@t316)) % 0.39/0.82 (step @p225 :rule quant-merge-prenex :args ((= (forall @t153 @t318) @t316))) % 0.39/0.82 (step @p226 :rule alpha_equiv :args (@t319 (@list @t298) (@list @t71))) % 0.39/0.82 (step @p227 :rule refl :args (@t306)) % 0.39/0.82 (step @p228 :rule refl :args (@t307)) % 0.39/0.82 (step @p229 :rule refl :args (@t308)) % 0.39/0.82 (step @p230 :rule refl :args (@t187)) % 0.39/0.82 (step @p231 :rule nary_cong :premises (@p230 @p229 @p228 @p227 @p226) :args (@t320)) % 0.39/0.82 (step @p232 :rule quant-miniscope-or :args ((= @t318 @t320))) % 0.39/0.82 (step @p233 :rule trans :premises (@p232 @p231)) % 0.39/0.82 (step @p234 :rule symm :premises (@p233)) % 0.39/0.82 (step @p235 :rule cong :premises (@p234) :args ((forall @t153 @t327))) % 0.39/0.82 (step @p236 :rule trans :premises (@p235 @p225)) % 0.39/0.82 (step @p237 :rule trans :premises (@p236 @p224)) % 0.39/0.82 (step @p238 :rule aci_norm :args ((= (or (or @t187 @t308 @t307 @t306) @t326) @t327))) % 0.39/0.82 (step @p239 :rule refl :args (@t326)) % 0.39/0.82 (step @p240 :rule bool-double-not-elim :args (@t187)) % 0.39/0.82 (step @p241 :rule nary_cong :premises (@p240 @p229 @p228 @p227) :args (@t329)) % 0.39/0.82 (step @p242 :rule aci_norm :args ((= (or @t328 (or @t308 (or @t307 @t306))) @t329))) % 0.39/0.82 (step @p243 :rule trans :premises (@p242 @p241)) % 0.39/0.82 (step @p244 :rule bool-and-de-morgan :args (@t185 @t184 true)) % 0.39/0.82 (step @p245 :rule nary_cong :premises (@p229 @p244) :args ((or @t308 (not (and @t185 @t184))))) % 0.39/0.82 (step @p246 :rule bool-and-de-morgan :args (@t186 @t185 (and @t184))) % 0.39/0.82 (step @p247 :rule trans :premises (@p246 @p245)) % 0.39/0.82 (step @p248 :rule refl :args (@t328)) % 0.39/0.82 (step @p249 :rule nary_cong :premises (@p248 @p247) :args ((or @t328 (not (and @t186 @t185 @t184))))) % 0.39/0.82 (step @p250 :rule bool-and-de-morgan :args (@t188 @t186 (and @t185 @t184))) % 0.39/0.82 (step @p251 :rule trans :premises (@p250 @p249)) % 0.39/0.82 (step @p252 :rule trans :premises (@p251 @p243)) % 0.39/0.82 (step @p253 :rule nary_cong :premises (@p252 @p239) :args ((or (not @t189) @t326))) % 0.39/0.82 (step @p254 :rule trans :premises (@p253 @p238)) % 0.39/0.82 (step @p255 :rule bool-impl-elim :args (@t189 @t326)) % 0.39/0.82 (step @p256 :rule trans :premises (@p255 @p254)) % 0.39/0.82 (step @p257 :rule cong :premises (@p256) :args ((forall @t153 (=> @t189 @t326)))) % 0.39/0.82 (step @p258 :rule trans :premises (@p257 @p237)) % 0.39/0.82 (step @p259 :rule aci_norm :args ((= (or (or @t179 @t324 @t323 @t322) (or @t321 @t173)) @t325))) % 0.39/0.82 (step @p260 :rule bool-impl-elim :args (@t174 @t173)) % 0.39/0.82 (step @p261 :rule refl :args (@t322)) % 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:args (@t389 @t354 @t395)) % 0.39/0.82 (step @p474 :rule cnf_and_pos :args (@t406 0)) % 0.39/0.82 (step @p475 :rule reordering :premises (@p474) :args ((or @t403 @t408))) % 0.39/0.82 (step @p476 :rule chain_m_resolution :premises (@p475 @p455) :args (@t403 @t354 @t409)) % 0.39/0.82 (step @p477 :rule cnf_or_pos :args (@t430)) % 0.39/0.82 (step @p478 :rule reordering :premises (@p477) :args ((or @t402 @t388 @t371 @t358 @t429 @t428 @t427 @t426 @t425 @t424 @t423 @t422 @t421 @t420 @t418 @t417 @t416 @t415 @t414 @t413 @t419 @t412 @t411 (not @t430)))) % 0.39/0.82 (step @p479 :rule chain_m_resolution :premises (@p478 @p476 @p473 @p470 @p467 @p464 @p461 @p458 @p445 @p432 @p429 @p426 @p413 @p400 @p397 @p384 @p381 @p378 @p354 @p351 @p348 @p335 @p322 @p301) :args (@t411 (@list true true true true false false false false false false false false false false false false false false false false false false false) (@list @t402 @t388 @t371 @t358 @t401 @t399 @t398 @t396 @t387 @t385 @t384 @t382 @t350 @t377 @t370 @t369 @t368 @t357 @t356 @t355 @t349 @t346 @t430))) % 0.39/0.82 (step @p480 :rule true_intro :premises (@p479)) % 0.39/0.82 (step @p481 :rule refl :args (@t334)) % 0.39/0.82 (step @p482 :rule refl :args (@t333)) % 0.39/0.82 (step @p483 :rule refl :args (@t431)) % 0.39/0.82 (step @p484 :rule nary_cong :premises (@p303 @p483) :args ((or @t338 @t431))) % 0.39/0.82 (step @p485 :rule bool-impl-elim :args (@t9 @t431)) % 0.39/0.82 (step @p486 :rule trans :premises (@p485 @p484)) % 0.39/0.82 (step @p487 :rule cong :premises (@p486) :args ((forall @t10 (=> @t9 @t431)))) % 0.39/0.82 (step @p488 :rule eq-symm :args (@t166 @t138)) % 0.39/0.82 (step @p489 :rule eq-symm :args (@t167 @t4)) % 0.39/0.82 (step @p490 :rule nary_cong :premises (@p489 @p488) :args (@t168)) % 0.39/0.82 (step @p491 :rule refl :args (@t9)) % 0.39/0.82 (step @p492 :rule cong :premises (@p491 @p490) :args (@t169)) % 0.39/0.82 (step @p493 :rule cong :premises (@p492) :args (@t170)) % 0.39/0.82 (step @p494 :rule trans :premises (@p493 @p487)) % 0.39/0.82 (step @p495 :rule eq_resolve :premises (@p108 @p494)) % 0.39/0.82 (step @p496 :rule instantiate :premises (@p495) :args (@t339)) % 0.39/0.82 (step @p497 :rule cnf_or_pos :args (@t434)) % 0.39/0.82 (step @p498 :rule reordering :premises (@p497) :args ((or @t342 @t433 (not @t434)))) % 0.39/0.82 (step @p499 :rule chain_m_resolution :premises (@p498 @p319 @p496) :args (@t433 @t348 (@list @t342 @t434))) % 0.39/0.82 (step @p500 :rule cnf_and_pos :args (@t433 0)) % 0.39/0.82 (step @p501 :rule reordering :premises (@p500) :args ((or @t432 (not @t433)))) % 0.39/0.82 (step @p502 :rule chain_m_resolution :premises (@p501 @p499) :args (@t432 @t354 (@list @t433))) % 0.39/0.82 (step @p503 :rule refl :args (@t337)) % 0.39/0.82 (step @p504 :rule refl :args (@t336)) % 0.39/0.82 (step @p505 :rule cong :premises (@p504 @p503 @p502 @p482 @p481) :args (@t341)) % 0.39/0.82 (step @p506 :rule cnf_or_neg :args (@t343 1)) % 0.39/0.82 (step @p507 :rule chain_m_resolution :premises (@p506 @p317) :args ((not @t341) @t344 @t345)) % 0.39/0.82 (step @p508 :rule false_intro :premises (@p507)) % 0.39/0.82 (step @p509 :rule symm :premises (@p508)) % 0.39/0.82 (step @p510 :rule trans :premises (@p509 @p505 @p480)) % 0.39/0.82 (step @p511 false :rule eq_resolve :premises (@p510 @p119)) % 0.39/0.82 ) % 0.39/0.82 % SZS output end Proof % 0.39/0.82 % cvc5 exiting %------------------------------------------------------------------------------