%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT362+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 : n005.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 0.37s 0.74s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT362+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n005.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 06:49:48 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.74 % SZS status Theorem % 0.37/0.74 % SZS output start Proof % 0.37/0.74 ( % 0.37/0.74 (declare-sort $$unsorted 0) % 0.37/0.74 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.k6_waybel34 (-> $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.m3_pboole (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.l1_altcat_1 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.m1_pboole (-> $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v2_yellow21 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.k3_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.37/0.74 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.v12_altcat_1 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.k2_altcat_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v9_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v14_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v1_funcop_1 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.u2_altcat_1 (-> $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.k3_altcat_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.l2_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v16_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.m1_functor0 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v2_setfam_1 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.u1_altcat_1 (-> $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.l2_altcat_1 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v1_yellow21 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v6_altcat_1 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.k5_waybel34 (-> $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v4_yellow18 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.u2_functor0 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.u1_functor0 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.r2_functor0 (-> $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.g2_functor0 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.k4_waybel34 (-> $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v1_altcat_2 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v6_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.g2_altcat_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.74 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v3_yellow21 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v11_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v21_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v12_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v8_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.m2_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v2_altcat_1 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v11_altcat_1 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.l1_functor0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v3_yellow18 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v2_yellow18 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.v9_altcat_1 (-> $$unsorted Bool)) % 0.37/0.74 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.37/0.74 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.74 (define @t2 () (tptp.k5_waybel34 @t1)) % 0.37/0.74 (define @t3 () (tptp.k4_waybel34 @t1)) % 0.37/0.74 (define @t4 () (tptp.r2_functor0 @t3 @t2)) % 0.37/0.74 (define @t5 () (tptp.v2_setfam_1 @t1)) % 0.37/0.74 (define @t6 () (not @t5)) % 0.37/0.74 (define @t7 () (@list @t1)) % 0.37/0.74 (define @t8 () (forall @t7 (=> @t6 @t4))) % 0.37/0.74 (define @t9 () (not @t8)) % 0.37/0.74 (define @t10 () (tptp.u2_altcat_1 @t1)) % 0.37/0.74 (define @t11 () (tptp.u1_altcat_1 @t1)) % 0.37/0.74 (define @t12 () (tptp.u1_struct_0 @t1)) % 0.37/0.74 (define @t13 () (tptp.v6_altcat_1 @t1)) % 0.37/0.74 (define @t14 () (tptp.l2_altcat_1 @t1)) % 0.37/0.74 (define @t15 () (@var "C" $$unsorted)) % 0.37/0.74 (define @t16 () (@var "B" $$unsorted)) % 0.37/0.74 (define @t17 () (tptp.u2_functor0 @t1 @t16 @t15)) % 0.37/0.74 (define @t18 () (tptp.u1_functor0 @t1 @t16 @t15)) % 0.37/0.74 (define @t19 () (tptp.v9_functor0 @t15 @t1 @t16)) % 0.37/0.74 (define @t20 () (tptp.l2_functor0 @t15 @t1 @t16)) % 0.37/0.74 (define @t21 () (tptp.l1_altcat_1 @t16)) % 0.37/0.74 (define @t22 () (tptp.l1_altcat_1 @t1)) % 0.37/0.74 (define @t23 () (and @t22 @t21 @t20)) % 0.37/0.74 (define @t24 () (@list @t1 @t16 @t15)) % 0.37/0.74 (define @t25 () (tptp.r2_hidden @t1 @t16)) % 0.37/0.74 (define @t26 () (@list @t1 @t16)) % 0.37/0.74 (define @t27 () (tptp.v1_xcmplx_0 @t16)) % 0.37/0.74 (define @t28 () (tptp.m1_subset_1 @t16 @t1)) % 0.37/0.74 (define @t29 () (@list @t16)) % 0.37/0.74 (define @t30 () (tptp.v1_membered @t1)) % 0.37/0.74 (define @t31 () (tptp.v1_xreal_0 @t16)) % 0.37/0.74 (define @t32 () (tptp.v2_membered @t1)) % 0.37/0.74 (define @t33 () (tptp.v1_rat_1 @t16)) % 0.37/0.74 (define @t34 () (tptp.v3_membered @t1)) % 0.37/0.74 (define @t35 () (tptp.v1_int_1 @t16)) % 0.37/0.74 (define @t36 () (tptp.v4_membered @t1)) % 0.37/0.74 (define @t37 () (tptp.v5_membered @t1)) % 0.37/0.74 (define @t38 () (tptp.v1_xboole_0 @t1)) % 0.37/0.74 (define @t39 () (tptp.v1_membered @t16)) % 0.37/0.74 (define @t40 () (tptp.m1_subset_1 @t16 (tptp.k1_zfmisc_1 @t1))) % 0.37/0.74 (define @t41 () (tptp.v2_membered @t16)) % 0.37/0.74 (define @t42 () (tptp.v3_membered @t16)) % 0.37/0.74 (define @t43 () (tptp.v4_membered @t16)) % 0.37/0.74 (define @t44 () (tptp.v1_finset_1 @t1)) % 0.37/0.74 (define @t45 () (tptp.v1_funct_1 @t1)) % 0.37/0.74 (define @t46 () (@var "F" $$unsorted)) % 0.37/0.74 (define @t47 () (@var "E" $$unsorted)) % 0.37/0.74 (define @t48 () (@var "D" $$unsorted)) % 0.37/0.74 (define @t49 () (tptp.m1_functor0 @t46 @t1 @t16 @t15 @t48 @t47)) % 0.37/0.74 (define @t50 () (@list @t46)) % 0.37/0.74 (define @t51 () (tptp.m1_pboole @t48 @t1)) % 0.37/0.74 (define @t52 () (tptp.m1_relset_1 @t15 @t1 @t16)) % 0.37/0.74 (define @t53 () (tptp.v1_funct_1 @t15)) % 0.37/0.74 (define @t54 () (and @t53 (tptp.v1_funct_2 @t15 @t1 @t16) @t52 @t51 (tptp.m1_pboole @t47 @t16))) % 0.37/0.74 (define @t55 () (@list @t1 @t16 @t15 @t48 @t47)) % 0.37/0.74 (define @t56 () (tptp.v12_functor0 @t15 @t1 @t16)) % 0.37/0.74 (define @t57 () (tptp.v8_functor0 @t15 @t1 @t16)) % 0.37/0.74 (define @t58 () (tptp.m2_functor0 @t15 @t1 @t16)) % 0.37/0.74 (define @t59 () (@list @t15)) % 0.37/0.74 (define @t60 () (tptp.l2_altcat_1 @t16)) % 0.37/0.74 (define @t61 () (tptp.v12_altcat_1 @t16)) % 0.37/0.74 (define @t62 () (tptp.v3_struct_0 @t16)) % 0.37/0.74 (define @t63 () (not @t62)) % 0.37/0.74 (define @t64 () (tptp.v12_altcat_1 @t1)) % 0.37/0.74 (define @t65 () (tptp.v2_altcat_1 @t1)) % 0.37/0.74 (define @t66 () (tptp.v3_struct_0 @t1)) % 0.37/0.74 (define @t67 () (not @t66)) % 0.37/0.74 (define @t68 () (and @t67 @t65 @t64 @t14 @t63 @t61 @t60)) % 0.37/0.74 (define @t69 () (tptp.k2_zfmisc_1 @t1 @t16)) % 0.37/0.74 (define @t70 () (tptp.m1_subset_1 @t15 (tptp.k1_zfmisc_1 @t69))) % 0.37/0.74 (define @t71 () (tptp.v2_yellow21 @t1)) % 0.37/0.74 (define @t72 () (tptp.v1_altcat_2 @t1)) % 0.37/0.74 (define @t73 () (tptp.v11_altcat_1 @t1)) % 0.37/0.74 (define @t74 () (tptp.v3_yellow21 @t1)) % 0.37/0.74 (define @t75 () (tptp.v1_finset_1 @t16)) % 0.37/0.74 (define @t76 () (tptp.v1_relat_1 @t1)) % 0.37/0.74 (define @t77 () (and @t76 @t45 (tptp.v2_funct_1 @t1))) % 0.37/0.74 (define @t78 () (and @t76 @t38 @t45)) % 0.37/0.74 (define @t79 () (not @t38)) % 0.37/0.74 (define @t80 () (forall @t7 (=> @t6 @t79))) % 0.37/0.74 (define @t81 () (tptp.v1_yellow21 @t1)) % 0.37/0.74 (define @t82 () (tptp.v4_yellow18 @t1)) % 0.37/0.74 (define @t83 () (tptp.v3_yellow18 @t1)) % 0.37/0.74 (define @t84 () (tptp.v2_yellow18 @t1)) % 0.37/0.74 (define @t85 () (tptp.v9_altcat_1 @t1)) % 0.37/0.74 (define @t86 () (tptp.v6_functor0 @t15 @t1 @t16)) % 0.37/0.74 (define @t87 () (tptp.v11_functor0 @t15 @t1 @t16)) % 0.37/0.74 (define @t88 () (tptp.l1_functor0 @t15 @t1 @t16)) % 0.37/0.74 (define @t89 () (tptp.l1_struct_0 @t16)) % 0.37/0.74 (define @t90 () (tptp.l1_struct_0 @t1)) % 0.37/0.74 (define @t91 () (tptp.v14_functor0 @t15 @t1 @t16)) % 0.37/0.74 (define @t92 () (tptp.v16_functor0 @t15 @t1 @t16)) % 0.37/0.74 (define @t93 () (tptp.v21_functor0 @t15 @t1 @t16)) % 0.37/0.74 (define @t94 () (and @t58 @t93 @t92)) % 0.37/0.74 (define @t95 () (exists @t59 @t94)) % 0.37/0.74 (define @t96 () (tptp.r2_functor0 @t1 @t16)) % 0.37/0.74 (define @t97 () (= @t96 @t95)) % 0.37/0.74 (define @t98 () (tptp.v2_altcat_1 @t16)) % 0.37/0.74 (define @t99 () (and @t63 @t98 @t61 @t60)) % 0.37/0.74 (define @t100 () (=> @t99 @t97)) % 0.37/0.74 (define @t101 () (forall @t29 @t100)) % 0.37/0.74 (define @t102 () (and @t67 @t65 @t64 @t14)) % 0.37/0.74 (define @t103 () (=> @t102 @t101)) % 0.37/0.74 (define @t104 () (forall @t7 @t103)) % 0.37/0.74 (define @t105 () (tptp.g2_altcat_1 @t1 @t16 @t15)) % 0.37/0.74 (define @t106 () (tptp.k2_altcat_1 @t1 @t16)) % 0.37/0.74 (define @t107 () (tptp.k3_zfmisc_1 @t1 @t1 @t1)) % 0.37/0.74 (define @t108 () (tptp.k2_zfmisc_1 @t1 @t1)) % 0.37/0.74 (define @t109 () (tptp.m1_pboole @t16 @t108)) % 0.37/0.74 (define @t110 () (and @t109 (tptp.m3_pboole @t15 @t107 (tptp.k3_altcat_1 @t1 @t16 @t16) @t106))) % 0.37/0.74 (define @t111 () (tptp.g2_functor0 @t1 @t16 @t15 @t48)) % 0.37/0.74 (define @t112 () (tptp.u1_altcat_1 @t16)) % 0.37/0.74 (define @t113 () (tptp.u1_struct_0 @t16)) % 0.37/0.74 (define @t114 () (tptp.k2_zfmisc_1 @t113 @t113)) % 0.37/0.74 (define @t115 () (tptp.k2_zfmisc_1 @t12 @t12)) % 0.37/0.74 (define @t116 () (and @t22 @t21 @t53 (tptp.v1_funct_2 @t15 @t115 @t114) (tptp.m1_relset_1 @t15 @t115 @t114) (tptp.m1_functor0 @t48 @t115 @t114 @t15 @t11 @t112))) % 0.37/0.74 (define @t117 () (@list @t1 @t16 @t15 @t48)) % 0.37/0.74 (define @t118 () (tptp.v2_yellow21 @t3)) % 0.37/0.74 (define @t119 () (tptp.v12_altcat_1 @t3)) % 0.37/0.74 (define @t120 () (tptp.v11_altcat_1 @t3)) % 0.37/0.74 (define @t121 () (tptp.v6_altcat_1 @t3)) % 0.37/0.74 (define @t122 () (tptp.v2_altcat_1 @t3)) % 0.37/0.74 (define @t123 () (not (tptp.v3_struct_0 @t3))) % 0.37/0.74 (define @t124 () (and @t123 @t122 @t121 @t120 @t119 @t118 (tptp.l2_altcat_1 @t3))) % 0.37/0.74 (define @t125 () (forall @t7 (=> @t79 @t124))) % 0.37/0.74 (define @t126 () (tptp.v2_yellow21 @t2)) % 0.37/0.74 (define @t127 () (tptp.v12_altcat_1 @t2)) % 0.37/0.74 (define @t128 () (tptp.v11_altcat_1 @t2)) % 0.37/0.74 (define @t129 () (tptp.v6_altcat_1 @t2)) % 0.37/0.74 (define @t130 () (tptp.v2_altcat_1 @t2)) % 0.37/0.74 (define @t131 () (not (tptp.v3_struct_0 @t2))) % 0.37/0.74 (define @t132 () (and @t131 @t130 @t129 @t128 @t127 @t126 (tptp.l2_altcat_1 @t2))) % 0.37/0.74 (define @t133 () (forall @t7 (=> @t79 @t132))) % 0.37/0.74 (define @t134 () (tptp.k6_waybel34 @t1)) % 0.37/0.74 (define @t135 () (tptp.v16_functor0 @t134 @t3 @t2)) % 0.37/0.74 (define @t136 () (tptp.v9_functor0 @t134 @t3 @t2)) % 0.37/0.74 (define @t137 () (and @t136 @t135 (tptp.m2_functor0 @t134 @t3 @t2))) % 0.37/0.74 (define @t138 () (forall @t7 (=> @t6 @t137))) % 0.37/0.74 (define @t139 () (and @t22 @t21)) % 0.37/0.74 (define @t140 () (tptp.m1_pboole @t16 @t1)) % 0.37/0.74 (define @t141 () (tptp.m2_relset_1 @t15 @t1 @t16)) % 0.37/0.74 (define @t142 () (tptp.m3_pboole @t48 @t1 @t16 @t15)) % 0.37/0.74 (define @t143 () (@list @t48)) % 0.37/0.74 (define @t144 () (and @t140 (tptp.m1_pboole @t15 @t1))) % 0.37/0.74 (define @t145 () (and @t67 @t90)) % 0.37/0.74 (define @t146 () (and @t123 @t122 @t121 (tptp.v9_altcat_1 @t3) @t120 @t119 (tptp.v1_altcat_2 @t3) (tptp.v2_yellow18 @t3) (tptp.v3_yellow18 @t3) (tptp.v4_yellow18 @t3) (tptp.v1_yellow21 @t3) @t118 (tptp.v3_yellow21 @t3))) % 0.37/0.74 (define @t147 () (forall @t7 (=> @t6 @t146))) % 0.37/0.74 (define @t148 () (and @t131 @t130 @t129 (tptp.v9_altcat_1 @t2) @t128 @t127 (tptp.v1_altcat_2 @t2) (tptp.v2_yellow18 @t2) (tptp.v3_yellow18 @t2) (tptp.v4_yellow18 @t2) (tptp.v1_yellow21 @t2) @t126 (tptp.v3_yellow21 @t2))) % 0.37/0.74 (define @t149 () (forall @t7 (=> @t6 @t148))) % 0.37/0.74 (define @t150 () (and (tptp.v6_functor0 @t134 @t3 @t2) (tptp.v8_functor0 @t134 @t3 @t2) @t136 (tptp.v11_functor0 @t134 @t3 @t2) (tptp.v12_functor0 @t134 @t3 @t2) (tptp.v14_functor0 @t134 @t3 @t2) @t135 (tptp.v21_functor0 @t134 @t3 @t2))) % 0.37/0.74 (define @t151 () (forall @t7 (=> @t6 @t150))) % 0.37/0.74 (define @t152 () (@var "H" $$unsorted)) % 0.37/0.74 (define @t153 () (@var "G" $$unsorted)) % 0.37/0.74 (define @t154 () (tptp.v1_xboole_0 @t16)) % 0.37/0.74 (define @t155 () (not @t154)) % 0.37/0.74 (define @t156 () (tptp.m1_subset_1 @t1 @t16)) % 0.37/0.74 (define @t157 () (tptp.m1_subset_1 @t16 (tptp.k1_zfmisc_1 @t15))) % 0.37/0.74 (define @t158 () (@var "BOUND_VARIABLE_8550" $$unsorted)) % 0.37/0.74 (define @t159 () (= (tptp.r2_functor0 @t1 @t158) (not (forall @t59 (or (not (tptp.m2_functor0 @t15 @t1 @t158)) (not (tptp.v21_functor0 @t15 @t1 @t158)) (not (tptp.v16_functor0 @t15 @t1 @t158))))))) % 0.37/0.74 (define @t160 () (not (tptp.l2_altcat_1 @t158))) % 0.37/0.74 (define @t161 () (not (tptp.v12_altcat_1 @t158))) % 0.37/0.74 (define @t162 () (not (tptp.v2_altcat_1 @t158))) % 0.37/0.74 (define @t163 () (tptp.v3_struct_0 @t158)) % 0.37/0.74 (define @t164 () (not @t14)) % 0.37/0.74 (define @t165 () (not @t64)) % 0.37/0.74 (define @t166 () (not @t65)) % 0.37/0.74 (define @t167 () (or @t163 @t162 @t161 @t160 @t159)) % 0.37/0.74 (define @t168 () (or @t66 @t166 @t165 @t164 @t167)) % 0.37/0.74 (define @t169 () (forall (@list @t1 @t158) @t168)) % 0.37/0.74 (define @t170 () (@list @t158)) % 0.37/0.74 (define @t171 () (forall @t170 @t168)) % 0.37/0.74 (define @t172 () (forall @t170 @t167)) % 0.37/0.74 (define @t173 () (or @t66 @t166 @t165 @t164 @t172)) % 0.37/0.74 (define @t174 () (not @t92)) % 0.37/0.74 (define @t175 () (not @t93)) % 0.37/0.74 (define @t176 () (not @t58)) % 0.37/0.74 (define @t177 () (or @t176 @t175 @t174)) % 0.37/0.74 (define @t178 () (= @t96 (not (forall @t59 @t177)))) % 0.37/0.74 (define @t179 () (not @t60)) % 0.37/0.74 (define @t180 () (not @t61)) % 0.37/0.74 (define @t181 () (not @t98)) % 0.37/0.74 (define @t182 () (or @t62 @t181 @t180 @t179 @t178)) % 0.37/0.74 (define @t183 () (forall @t29 @t182)) % 0.37/0.74 (define @t184 () (or @t66 @t166 @t165 @t164 @t183)) % 0.37/0.74 (define @t185 () (not @t67)) % 0.37/0.74 (define @t186 () (or @t185 @t166 @t165 @t164)) % 0.37/0.74 (define @t187 () (not @t63)) % 0.37/0.74 (define @t188 () (or @t187 @t181 @t180 @t179)) % 0.37/0.74 (define @t189 () (forall @t59 (not @t94))) % 0.37/0.74 (define @t190 () (not @t189)) % 0.37/0.74 (define @t191 () (@quantifiers_skolemize (forall @t7 (or @t5 @t4)) 0)) % 0.37/0.74 (define @t192 () (tptp.k5_waybel34 @t191)) % 0.37/0.74 (define @t193 () (tptp.k4_waybel34 @t191)) % 0.37/0.74 (define @t194 () (not @t79)) % 0.37/0.74 (define @t195 () (@list @t191)) % 0.37/0.74 (define @t196 () (not @t6)) % 0.37/0.74 (define @t197 () (tptp.r2_functor0 @t193 @t192)) % 0.37/0.74 (define @t198 () (tptp.v2_setfam_1 @t191)) % 0.37/0.74 (define @t199 () (or @t198 @t197)) % 0.37/0.74 (define @t200 () (@list true)) % 0.37/0.74 (define @t201 () (@list @t199)) % 0.37/0.74 (define @t202 () (tptp.v1_xboole_0 @t191)) % 0.37/0.74 (define @t203 () (not @t202)) % 0.37/0.74 (define @t204 () (or @t198 @t203)) % 0.37/0.74 (define @t205 () (@list true false)) % 0.37/0.74 (define @t206 () (tptp.l2_altcat_1 @t192)) % 0.37/0.74 (define @t207 () (tptp.v2_yellow21 @t192)) % 0.37/0.74 (define @t208 () (tptp.v12_altcat_1 @t192)) % 0.37/0.74 (define @t209 () (tptp.v11_altcat_1 @t192)) % 0.37/0.74 (define @t210 () (tptp.v6_altcat_1 @t192)) % 0.37/0.74 (define @t211 () (tptp.v2_altcat_1 @t192)) % 0.37/0.74 (define @t212 () (tptp.v3_struct_0 @t192)) % 0.37/0.74 (define @t213 () (not @t212)) % 0.37/0.74 (define @t214 () (and @t213 @t211 @t210 @t209 @t208 @t207 @t206)) % 0.37/0.74 (define @t215 () (or @t202 @t214)) % 0.37/0.74 (define @t216 () (@list false)) % 0.37/0.74 (define @t217 () (and @t213 @t211 @t210 (tptp.v9_altcat_1 @t192) @t209 @t208 (tptp.v1_altcat_2 @t192) (tptp.v2_yellow18 @t192) (tptp.v3_yellow18 @t192) (tptp.v4_yellow18 @t192) (tptp.v1_yellow21 @t192) @t207 (tptp.v3_yellow21 @t192))) % 0.37/0.74 (define @t218 () (or @t198 @t217)) % 0.37/0.74 (define @t219 () (not @t217)) % 0.37/0.74 (define @t220 () (@list @t217)) % 0.37/0.74 (define @t221 () (tptp.l2_altcat_1 @t193)) % 0.37/0.74 (define @t222 () (tptp.v2_yellow21 @t193)) % 0.37/0.74 (define @t223 () (tptp.v12_altcat_1 @t193)) % 0.37/0.74 (define @t224 () (tptp.v11_altcat_1 @t193)) % 0.37/0.74 (define @t225 () (tptp.v6_altcat_1 @t193)) % 0.37/0.74 (define @t226 () (tptp.v2_altcat_1 @t193)) % 0.37/0.74 (define @t227 () (tptp.v3_struct_0 @t193)) % 0.37/0.74 (define @t228 () (not @t227)) % 0.37/0.74 (define @t229 () (and @t228 @t226 @t225 @t224 @t223 @t222 @t221)) % 0.37/0.74 (define @t230 () (or @t202 @t229)) % 0.37/0.74 (define @t231 () (and @t228 @t226 @t225 (tptp.v9_altcat_1 @t193) @t224 @t223 (tptp.v1_altcat_2 @t193) (tptp.v2_yellow18 @t193) (tptp.v3_yellow18 @t193) (tptp.v4_yellow18 @t193) (tptp.v1_yellow21 @t193) @t222 (tptp.v3_yellow21 @t193))) % 0.37/0.74 (define @t232 () (or @t198 @t231)) % 0.37/0.74 (define @t233 () (not @t231)) % 0.37/0.74 (define @t234 () (@list @t231)) % 0.37/0.74 (define @t235 () (forall @t59 (or (not (tptp.m2_functor0 @t15 @t193 @t192)) (not (tptp.v21_functor0 @t15 @t193 @t192)) (not (tptp.v16_functor0 @t15 @t193 @t192))))) % 0.37/0.74 (define @t236 () (not @t235)) % 0.37/0.74 (define @t237 () (= @t197 @t236)) % 0.37/0.74 (define @t238 () (not @t206)) % 0.37/0.74 (define @t239 () (not @t208)) % 0.37/0.74 (define @t240 () (not @t211)) % 0.37/0.74 (define @t241 () (not @t221)) % 0.37/0.74 (define @t242 () (not @t223)) % 0.37/0.74 (define @t243 () (not @t226)) % 0.37/0.74 (define @t244 () (or @t227 @t243 @t242 @t241 @t212 @t240 @t239 @t238 @t237)) % 0.37/0.74 (define @t245 () (not @t237)) % 0.37/0.74 (define @t246 () (tptp.k6_waybel34 @t191)) % 0.37/0.74 (define @t247 () (tptp.v21_functor0 @t246 @t193 @t192)) % 0.37/0.74 (define @t248 () (tptp.v16_functor0 @t246 @t193 @t192)) % 0.37/0.74 (define @t249 () (tptp.v9_functor0 @t246 @t193 @t192)) % 0.37/0.74 (define @t250 () (and (tptp.v6_functor0 @t246 @t193 @t192) (tptp.v8_functor0 @t246 @t193 @t192) @t249 (tptp.v11_functor0 @t246 @t193 @t192) (tptp.v12_functor0 @t246 @t193 @t192) (tptp.v14_functor0 @t246 @t193 @t192) @t248 @t247)) % 0.37/0.74 (define @t251 () (or @t198 @t250)) % 0.37/0.74 (define @t252 () (tptp.m2_functor0 @t246 @t193 @t192)) % 0.37/0.74 (define @t253 () (and @t249 @t248 @t252)) % 0.37/0.74 (define @t254 () (or @t198 @t253)) % 0.37/0.74 (define @t255 () (not @t253)) % 0.37/0.74 (define @t256 () (@list @t253)) % 0.37/0.74 (define @t257 () (not @t248)) % 0.37/0.74 (define @t258 () (not @t247)) % 0.37/0.74 (define @t259 () (not @t252)) % 0.37/0.74 (define @t260 () (or @t259 @t258 @t257)) % 0.37/0.74 (define @t261 () (not @t260)) % 0.37/0.74 (assume @p1 @t9) % 0.37/0.74 (assume @p2 (forall @t7 (=> @t14 (=> @t13 (= @t1 (tptp.g2_altcat_1 @t12 @t11 @t10)))))) % 0.37/0.74 (assume @p3 (forall @t24 (=> @t23 (=> @t19 (= @t15 (tptp.g2_functor0 @t1 @t16 @t18 @t17)))))) % 0.37/0.74 (assume @p4 (forall @t26 (=> @t25 (not (tptp.r2_hidden @t16 @t1))))) % 0.37/0.74 (assume @p5 (forall @t7 (=> @t30 (forall @t29 (=> @t28 @t27))))) % 0.37/0.74 (assume @p6 (forall @t7 (=> @t32 (forall @t29 (=> @t28 (and @t27 @t31)))))) % 0.37/0.74 (assume @p7 (forall @t7 (=> @t34 (forall @t29 (=> @t28 (and @t27 @t31 @t33)))))) % 0.37/0.74 (assume @p8 (forall @t7 (=> @t36 (forall @t29 (=> @t28 (and @t27 @t31 @t35 @t33)))))) % 0.37/0.74 (assume @p9 (forall @t7 (=> @t37 (forall @t29 (=> @t28 (and @t27 (tptp.v4_ordinal2 @t16) @t31 @t35 @t33)))))) % 0.37/0.74 (assume @p10 (forall @t7 (=> @t38 (and @t30 @t32 @t34 @t36 @t37)))) % 0.37/0.74 (assume @p11 (forall @t7 (=> @t30 (forall @t29 (=> @t40 @t39))))) % 0.37/0.74 (assume @p12 (forall @t7 (=> @t32 (forall @t29 (=> @t40 (and @t39 @t41)))))) % 0.37/0.74 (assume @p13 (forall @t7 (=> @t34 (forall @t29 (=> @t40 (and @t39 @t41 @t42)))))) % 0.37/0.74 (assume @p14 (forall @t7 (=> @t36 (forall @t29 (=> @t40 (and @t39 @t41 @t42 @t43)))))) % 0.37/0.74 (assume @p15 (forall @t7 (=> @t38 @t44))) % 0.37/0.74 (assume @p16 (forall @t7 (=> @t38 @t45))) % 0.37/0.74 (assume @p17 (forall @t55 (=> @t54 (forall @t50 (=> @t49 (tptp.v1_funcop_1 @t46)))))) % 0.37/0.74 (assume @p18 (forall @t26 (=> @t68 (forall @t59 (=> @t58 (and @t57 @t56)))))) % 0.37/0.74 (assume @p19 (forall @t7 (=> @t37 @t36))) % 0.37/0.74 (assume @p20 (forall @t24 (=> @t70 (tptp.v1_relat_1 @t15)))) % 0.37/0.74 (assume @p21 (forall @t7 (=> @t14 (=> (and @t67 @t65 @t73 @t64 @t74) (and @t67 @t65 @t73 @t64 @t72 @t71))))) % 0.37/0.74 (assume @p22 (forall @t7 (=> @t37 (forall @t29 (=> @t40 (and @t39 @t41 @t42 @t43 (tptp.v5_membered @t16))))))) % 0.37/0.74 (assume @p23 (forall @t7 (=> @t44 (forall @t29 (=> @t40 @t75))))) % 0.37/0.74 (assume @p24 (forall @t7 (=> @t78 @t77))) % 0.37/0.74 (assume @p25 (forall @t7 (=> @t14 (=> (and @t67 @t64) (and @t67 @t72))))) % 0.37/0.74 (assume @p26 (forall @t7 (=> @t36 @t34))) % 0.37/0.74 (assume @p27 @t80) % 0.37/0.74 (assume @p28 (forall @t7 (=> @t14 (=> (and @t67 @t65 @t73 @t64 @t71) (and @t67 @t65 @t85 @t73 @t64 @t72 @t84 @t83 @t82 @t81))))) % 0.37/0.74 (assume @p29 (forall @t7 (=> @t34 @t32))) % 0.37/0.74 (assume @p30 (forall @t26 (=> (and @t90 @t63 @t89) (forall @t59 (=> @t88 (=> @t87 @t86)))))) % 0.37/0.74 (assume @p31 (forall @t26 (=> @t68 (forall @t59 (=> @t58 (=> @t92 (and @t86 @t57 @t87 @t56 @t91))))))) % 0.37/0.74 (assume @p32 (forall @t7 (=> @t32 @t30))) % 0.37/0.74 (assume @p33 (forall @t26 (=> @t68 (forall @t59 (=> @t58 (=> (and @t87 @t91) (and @t86 @t57 @t56 @t92))))))) % 0.37/0.74 (assume @p34 (forall @t26 (=> @t68 (forall @t59 (=> @t58 (=> @t92 @t86)))))) % 0.37/0.74 (assume @p35 @t104) % 0.37/0.74 (assume @p36 (forall @t24 (=> @t110 (and (tptp.v6_altcat_1 @t105) (tptp.l2_altcat_1 @t105))))) % 0.37/0.74 (assume @p37 (forall @t117 (=> @t116 (and (tptp.v9_functor0 @t111 @t1 @t16) (tptp.l2_functor0 @t111 @t1 @t16))))) % 0.37/0.74 (assume @p38 true) % 0.37/0.74 (assume @p39 (forall @t26 (=> @t109 (tptp.m1_pboole @t106 @t107)))) % 0.37/0.74 (assume @p40 (forall @t24 (=> (and @t109 (tptp.m1_pboole @t15 @t108)) (tptp.m1_pboole (tptp.k3_altcat_1 @t1 @t16 @t15) @t107)))) % 0.37/0.74 (assume @p41 @t125) % 0.37/0.74 (assume @p42 @t133) % 0.37/0.74 (assume @p43 @t138) % 0.37/0.74 (assume @p44 (forall @t7 (=> @t22 @t90))) % 0.37/0.74 (assume @p45 (forall @t7 (=> @t14 @t22))) % 0.37/0.74 (assume @p46 (forall @t26 (=> @t139 (forall @t59 (=> @t20 @t88))))) % 0.37/0.74 (assume @p47 (forall @t55 (=> @t54 (forall @t50 (=> @t49 (tptp.m1_pboole @t46 @t1)))))) % 0.37/0.74 (assume @p48 (forall @t26 (=> @t140 (and (tptp.v1_relat_1 @t16) (tptp.v1_funct_1 @t16))))) % 0.37/0.74 (assume @p49 (forall @t26 (=> @t68 (forall @t59 (=> @t58 @t20))))) % 0.37/0.74 (assume @p50 (forall @t24 (=> @t141 @t70))) % 0.37/0.74 (assume @p51 (forall @t24 (=> @t144 (forall @t143 (=> @t142 @t51))))) % 0.37/0.74 (assume @p52 (forall @t7 (=> @t22 (tptp.m1_pboole @t11 @t115)))) % 0.37/0.74 (assume @p53 (forall @t24 (=> (and @t90 @t89 @t88) (and (tptp.v1_funct_1 @t18) (tptp.v1_funct_2 @t18 @t115 @t114) (tptp.m2_relset_1 @t18 @t115 @t114))))) % 0.37/0.74 (assume @p54 (forall @t7 (=> @t14 (tptp.m3_pboole @t10 (tptp.k3_zfmisc_1 @t12 @t12 @t12) (tptp.k3_altcat_1 @t12 @t11 @t11) (tptp.k2_altcat_1 @t12 @t11))))) % 0.37/0.74 (assume @p55 (forall @t24 (=> @t23 (tptp.m1_functor0 @t17 @t115 @t114 @t18 @t11 @t112)))) % 0.37/0.74 (assume @p56 (exists @t7 @t22)) % 0.37/0.74 (assume @p57 (forall @t26 (=> (and @t90 @t89) (exists @t59 @t88)))) % 0.37/0.74 (assume @p58 (exists @t7 @t90)) % 0.37/0.74 (assume @p59 (exists @t7 @t14)) % 0.37/0.74 (assume @p60 (forall @t26 (=> @t139 (exists @t59 @t20)))) % 0.37/0.74 (assume @p61 (forall @t55 (=> @t54 (exists @t50 @t49)))) % 0.37/0.74 (assume @p62 (forall @t7 (exists @t29 @t140))) % 0.37/0.74 (assume @p63 (forall @t26 (exists @t59 @t52))) % 0.37/0.74 (assume @p64 (forall @t7 (exists @t29 @t28))) % 0.37/0.74 (assume @p65 (forall @t26 (=> @t68 (exists @t59 @t58)))) % 0.37/0.74 (assume @p66 (forall @t26 (exists @t59 @t141))) % 0.37/0.74 (assume @p67 (forall @t24 (=> @t144 (exists @t143 @t142)))) % 0.37/0.74 (assume @p68 (forall @t26 (=> (and @t44 @t75) (tptp.v1_finset_1 @t69)))) % 0.37/0.74 (assume @p69 (forall @t24 (=> (and @t44 @t75 (tptp.v1_finset_1 @t15)) (tptp.v1_finset_1 (tptp.k3_zfmisc_1 @t1 @t16 @t15))))) % 0.37/0.74 (assume @p70 (forall @t7 (=> @t145 (not (tptp.v1_xboole_0 @t12))))) % 0.37/0.74 (assume @p71 @t147) % 0.37/0.74 (assume @p72 (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))) % 0.37/0.74 (assume @p73 @t149) % 0.37/0.74 (assume @p74 (forall @t24 (=> @t23 (and (tptp.v1_relat_1 @t17) (tptp.v1_funct_1 @t17) (tptp.v1_funcop_1 @t17))))) % 0.37/0.74 (assume @p75 @t151) % 0.37/0.74 (assume @p76 (forall @t24 (=> @t110 (forall (@list @t48 @t47 @t46) (=> (= @t105 (tptp.g2_altcat_1 @t48 @t47 @t46)) (and (= @t1 @t48) (= @t16 @t47) (= @t15 @t46))))))) % 0.37/0.74 (assume @p77 (forall @t117 (=> @t116 (forall (@list @t47 @t46 @t153 @t152) (=> (= @t111 (tptp.g2_functor0 @t47 @t46 @t153 @t152)) (and (= @t1 @t47) (= @t16 @t46) (= @t15 @t153) (= @t48 @t152))))))) % 0.37/0.74 (assume @p78 (exists @t7 (and @t79 @t44))) % 0.37/0.74 (assume @p79 (exists @t7 (and @t76 @t45))) % 0.37/0.74 (assume @p80 (exists @t7 (and @t79 @t30 @t32 @t34 @t36 @t37))) % 0.37/0.74 (assume @p81 (exists @t7 (and @t14 @t67 @t65 @t13 @t85 @t73 @t64 @t72 @t84 @t83 @t82 @t81 @t71 @t74))) % 0.37/0.74 (assume @p82 (exists @t7 @t78)) % 0.37/0.74 (assume @p83 (exists @t7 @t6)) % 0.37/0.74 (assume @p84 (forall @t7 (=> @t79 (exists @t29 (and @t40 @t155 @t75))))) % 0.37/0.74 (assume @p85 (exists @t7 @t77)) % 0.37/0.74 (assume @p86 (forall @t26 (=> @t139 (exists @t59 (and @t20 @t19))))) % 0.37/0.74 (assume @p87 (forall @t7 (=> @t6 (exists @t29 (and @t28 @t155))))) % 0.37/0.74 (assume @p88 (exists @t7 (and @t90 @t67))) % 0.37/0.74 (assume @p89 (forall @t26 (=> @t139 (exists @t59 (and @t20 @t87))))) % 0.37/0.74 (assume @p90 (forall @t7 (=> @t145 (exists @t29 (and (tptp.m1_subset_1 @t16 (tptp.k1_zfmisc_1 @t12)) @t155))))) % 0.37/0.74 (assume @p91 (exists @t7 (and @t14 @t67 @t72))) % 0.37/0.74 (assume @p92 (forall @t26 (=> (and @t67 @t22 @t63 (tptp.v1_altcat_2 @t16) @t21) (exists @t59 (and @t20 @t86 @t57))))) % 0.37/0.74 (assume @p93 (forall @t26 (=> (and @t67 @t64 @t14 @t63 @t61 @t60) (exists @t59 (and @t20 @t86 @t57 @t19 @t56))))) % 0.37/0.74 (assume @p94 (forall @t24 (= @t141 @t52))) % 0.37/0.74 (assume @p95 (forall @t26 (tptp.r1_tarski @t1 @t1))) % 0.37/0.74 (assume @p96 (forall @t26 (=> (and @t67 @t65 @t64 @t14 @t63 @t98 @t61 @t60) (=> @t96 (tptp.r2_functor0 @t16 @t1))))) % 0.37/0.74 (assume @p97 (forall @t26 (=> @t25 @t156))) % 0.37/0.74 (assume @p98 (forall @t26 (=> @t156 (or @t154 @t25)))) % 0.37/0.74 (assume @p99 (forall @t26 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t16)) (tptp.r1_tarski @t1 @t16)))) % 0.37/0.74 (assume @p100 (forall @t24 (=> (and @t25 @t157) (tptp.m1_subset_1 @t1 @t15)))) % 0.37/0.74 (assume @p101 (forall @t24 (not (and @t25 @t157 (tptp.v1_xboole_0 @t15))))) % 0.37/0.74 (assume @p102 (forall @t7 (=> @t38 (= @t1 tptp.k1_xboole_0)))) % 0.37/0.74 (assume @p103 (forall @t26 (not (and @t25 @t154)))) % 0.37/0.74 (assume @p104 (forall @t26 (not (and @t38 (not (= @t1 @t16)) @t154)))) % 0.37/0.74 (step @p105 :rule aci_norm :args ((= @t168 (or @t66 @t166 @t165 @t164 @t163 @t162 @t161 @t160 @t159)))) % 0.37/0.74 (step @p106 :rule cong :premises (@p105) :args (@t169)) % 0.37/0.74 (step @p107 :rule quant-merge-prenex :args ((= (forall @t7 @t171) @t169))) % 0.37/0.74 (step @p108 :rule alpha_equiv :args (@t172 (@list @t158) (@list @t16))) % 0.37/0.74 (step @p109 :rule refl :args (@t164)) % 0.37/0.74 (step @p110 :rule refl :args (@t165)) % 0.37/0.74 (step @p111 :rule refl :args (@t166)) % 0.37/0.74 (step @p112 :rule refl :args (@t66)) % 0.37/0.74 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110 @p109 @p108) :args (@t173)) % 0.37/0.74 (step @p114 :rule quant-miniscope-or :args ((= @t171 @t173))) % 0.37/0.74 (step @p115 :rule trans :premises (@p114 @p113)) % 0.37/0.74 (step @p116 :rule symm :premises (@p115)) % 0.37/0.74 (step @p117 :rule cong :premises (@p116) :args ((forall @t7 @t184))) % 0.37/0.74 (step @p118 :rule trans :premises (@p117 @p107)) % 0.37/0.74 (step @p119 :rule trans :premises (@p118 @p106)) % 0.37/0.74 (step @p120 :rule aci_norm :args ((= (or (or @t66 @t166 @t165 @t164) @t183) @t184))) % 0.37/0.74 (step @p121 :rule refl :args (@t183)) % 0.37/0.74 (step @p122 :rule bool-double-not-elim :args (@t66)) % 0.37/0.74 (step @p123 :rule nary_cong :premises (@p122 @p111 @p110 @p109) :args (@t186)) % 0.37/0.74 (step @p124 :rule aci_norm :args ((= (or @t185 (or @t166 (or @t165 @t164))) @t186))) % 0.37/0.74 (step @p125 :rule trans :premises (@p124 @p123)) % 0.37/0.74 (step @p126 :rule bool-and-de-morgan :args (@t64 @t14 true)) % 0.37/0.74 (step @p127 :rule nary_cong :premises (@p111 @p126) :args ((or @t166 (not (and @t64 @t14))))) % 0.37/0.74 (step @p128 :rule bool-and-de-morgan :args (@t65 @t64 (and @t14))) % 0.37/0.74 (step @p129 :rule trans :premises (@p128 @p127)) % 0.37/0.74 (step @p130 :rule refl :args (@t185)) % 0.37/0.74 (step @p131 :rule nary_cong :premises (@p130 @p129) :args ((or @t185 (not (and @t65 @t64 @t14))))) % 0.37/0.74 (step @p132 :rule bool-and-de-morgan :args (@t67 @t65 (and @t64 @t14))) % 0.37/0.74 (step @p133 :rule trans :premises (@p132 @p131)) % 0.37/0.74 (step @p134 :rule trans :premises (@p133 @p125)) % 0.37/0.74 (step @p135 :rule nary_cong :premises (@p134 @p121) :args ((or (not @t102) @t183))) % 0.37/0.74 (step @p136 :rule trans :premises (@p135 @p120)) % 0.37/0.74 (step @p137 :rule bool-impl-elim :args (@t102 @t183)) % 0.37/0.74 (step @p138 :rule trans :premises (@p137 @p136)) % 0.37/0.74 (step @p139 :rule cong :premises (@p138) :args ((forall @t7 (=> @t102 @t183)))) % 0.37/0.74 (step @p140 :rule trans :premises (@p139 @p119)) % 0.37/0.74 (step @p141 :rule aci_norm :args ((= (or (or @t62 @t181 @t180 @t179) @t178) @t182))) % 0.37/0.74 (step @p142 :rule refl :args (@t178)) % 0.37/0.74 (step @p143 :rule refl :args (@t179)) % 0.37/0.74 (step @p144 :rule refl :args (@t180)) % 0.37/0.74 (step @p145 :rule refl :args (@t181)) % 0.37/0.74 (step @p146 :rule bool-double-not-elim :args (@t62)) % 0.37/0.74 (step @p147 :rule nary_cong :premises (@p146 @p145 @p144 @p143) :args (@t188)) % 0.37/0.74 (step @p148 :rule aci_norm :args ((= (or @t187 (or @t181 (or @t180 @t179))) @t188))) % 0.37/0.74 (step @p149 :rule trans :premises (@p148 @p147)) % 0.37/0.74 (step @p150 :rule bool-and-de-morgan :args (@t61 @t60 true)) % 0.37/0.74 (step @p151 :rule nary_cong :premises (@p145 @p150) :args ((or @t181 (not (and @t61 @t60))))) % 0.37/0.74 (step @p152 :rule bool-and-de-morgan :args (@t98 @t61 (and @t60))) % 0.37/0.74 (step @p153 :rule trans :premises (@p152 @p151)) % 0.37/0.74 (step @p154 :rule refl :args (@t187)) % 0.37/0.74 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or @t187 (not (and @t98 @t61 @t60))))) % 0.37/0.74 (step @p156 :rule bool-and-de-morgan :args (@t63 @t98 (and @t61 @t60))) % 0.37/0.74 (step @p157 :rule trans :premises (@p156 @p155)) % 0.37/0.74 (step @p158 :rule trans :premises (@p157 @p149)) % 0.37/0.74 (step @p159 :rule nary_cong :premises (@p158 @p142) :args ((or (not @t99) @t178))) % 0.37/0.74 (step @p160 :rule trans :premises (@p159 @p141)) % 0.37/0.74 (step @p161 :rule bool-impl-elim :args (@t99 @t178)) % 0.37/0.74 (step @p162 :rule trans :premises (@p161 @p160)) % 0.37/0.74 (step @p163 :rule cong :premises (@p162) :args ((forall @t29 (=> @t99 @t178)))) % 0.37/0.74 (step @p164 :rule aci_norm :args ((= (or @t176 (or @t175 @t174)) @t177))) % 0.37/0.74 (step @p165 :rule bool-and-de-morgan :args (@t93 @t92 true)) % 0.37/0.74 (step @p166 :rule refl :args (@t176)) % 0.37/0.74 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or @t176 (not (and @t93 @t92))))) % 0.37/0.74 (step @p168 :rule bool-and-de-morgan :args (@t58 @t93 (and @t92))) % 0.37/0.74 (step @p169 :rule trans :premises (@p168 @p167)) % 0.37/0.74 (step @p170 :rule trans :premises (@p169 @p164)) % 0.37/0.74 (step @p171 :rule cong :premises (@p170) :args (@t189)) % 0.37/0.74 (step @p172 :rule cong :premises (@p171) :args (@t190)) % 0.37/0.74 (step @p173 :rule exists-elim :args ((= @t95 @t190))) % 0.37/0.74 (step @p174 :rule trans :premises (@p173 @p172)) % 0.37/0.74 (step @p175 :rule refl :args (@t96)) % 0.37/0.74 (step @p176 :rule cong :premises (@p175 @p174) :args (@t97)) % 0.37/0.74 (step @p177 :rule refl :args (@t99)) % 0.37/0.74 (step @p178 :rule cong :premises (@p177 @p176) :args (@t100)) % 0.37/0.74 (step @p179 :rule cong :premises (@p178) :args (@t101)) % 0.37/0.74 (step @p180 :rule trans :premises (@p179 @p163)) % 0.37/0.74 (step @p181 :rule refl :args (@t102)) % 0.37/0.74 (step @p182 :rule cong :premises (@p181 @p180) :args (@t103)) % 0.37/0.74 (step @p183 :rule cong :premises (@p182) :args (@t104)) % 0.37/0.74 (step @p184 :rule trans :premises (@p183 @p140)) % 0.37/0.74 (step @p185 :rule eq_resolve :premises (@p35 @p184)) % 0.37/0.74 (step @p186 :rule instantiate :premises (@p185) :args ((@list @t193 @t192))) % 0.37/0.74 (step @p187 :rule refl :args (@t132)) % 0.37/0.74 (step @p188 :rule bool-double-not-elim :args (@t38)) % 0.37/0.74 (step @p189 :rule nary_cong :premises (@p188 @p187) :args ((or @t194 @t132))) % 0.37/0.74 (step @p190 :rule bool-impl-elim :args (@t79 @t132)) % 0.37/0.74 (step @p191 :rule trans :premises (@p190 @p189)) % 0.37/0.74 (step @p192 :rule cong :premises (@p191) :args (@t133)) % 0.37/0.74 (step @p193 :rule eq_resolve :premises (@p42 @p192)) % 0.37/0.74 (step @p194 :rule instantiate :premises (@p193) :args (@t195)) % 0.37/0.74 (step @p195 :rule refl :args (@t79)) % 0.37/0.74 (step @p196 :rule bool-double-not-elim :args (@t5)) % 0.37/0.74 (step @p197 :rule nary_cong :premises (@p196 @p195) :args ((or @t196 @t79))) % 0.37/0.74 (step @p198 :rule bool-impl-elim :args (@t6 @t79)) % 0.37/0.74 (step @p199 :rule trans :premises (@p198 @p197)) % 0.37/0.74 (step @p200 :rule cong :premises (@p199) :args (@t80)) % 0.37/0.74 (step @p201 :rule eq_resolve :premises (@p27 @p200)) % 0.37/0.74 (step @p202 :rule instantiate :premises (@p201) :args (@t195)) % 0.37/0.74 (step @p203 :rule refl :args (@t4)) % 0.37/0.74 (step @p204 :rule nary_cong :premises (@p196 @p203) :args ((or @t196 @t4))) % 0.37/0.74 (step @p205 :rule bool-impl-elim :args (@t6 @t4)) % 0.37/0.74 (step @p206 :rule trans :premises (@p205 @p204)) % 0.37/0.74 (step @p207 :rule cong :premises (@p206) :args (@t8)) % 0.37/0.74 (step @p208 :rule cong :premises (@p207) :args (@t9)) % 0.37/0.74 (step @p209 :rule eq_resolve :premises (@p1 @p208)) % 0.37/0.74 (step @p210 :rule skolemize :premises (@p209)) % 0.37/0.74 (step @p211 :rule cnf_or_neg :args (@t199 0)) % 0.37/0.74 (step @p212 :rule chain_m_resolution :premises (@p211 @p210) :args ((not @t198) @t200 @t201)) % 0.37/0.74 (step @p213 :rule cnf_or_pos :args (@t204)) % 0.37/0.74 (step @p214 :rule reordering :premises (@p213) :args ((or @t198 @t203 (not @t204)))) % 0.37/0.74 (step @p215 :rule chain_m_resolution :premises (@p214 @p212 @p202) :args (@t203 @t205 (@list @t198 @t204))) % 0.37/0.74 (step @p216 :rule cnf_or_pos :args (@t215)) % 0.37/0.74 (step @p217 :rule reordering :premises (@p216) :args ((or @t202 @t214 (not @t215)))) % 0.37/0.74 (step @p218 :rule chain_m_resolution :premises (@p217 @p215 @p194) :args (@t214 @t205 (@list @t202 @t215))) % 0.37/0.74 (step @p219 :rule cnf_and_pos :args (@t214 6)) % 0.37/0.74 (step @p220 :rule reordering :premises (@p219) :args ((or @t206 (not @t214)))) % 0.37/0.74 (step @p221 :rule chain_m_resolution :premises (@p220 @p218) :args (@t206 @t216 (@list @t214))) % 0.37/0.74 (step @p222 :rule refl :args (@t148)) % 0.37/0.74 (step @p223 :rule nary_cong :premises (@p196 @p222) :args ((or @t196 @t148))) % 0.37/0.74 (step @p224 :rule bool-impl-elim :args (@t6 @t148)) % 0.37/0.74 (step @p225 :rule trans :premises (@p224 @p223)) % 0.37/0.74 (step @p226 :rule cong :premises (@p225) :args (@t149)) % 0.37/0.74 (step @p227 :rule eq_resolve :premises (@p73 @p226)) % 0.37/0.74 (step @p228 :rule instantiate :premises (@p227) :args (@t195)) % 0.37/0.74 (step @p229 :rule cnf_or_pos :args (@t218)) % 0.37/0.74 (step @p230 :rule reordering :premises (@p229) :args ((or @t198 @t217 (not @t218)))) % 0.37/0.74 (step @p231 :rule chain_m_resolution :premises (@p230 @p212 @p228) :args (@t217 @t205 (@list @t198 @t218))) % 0.37/0.74 (step @p232 :rule cnf_and_pos :args (@t217 5)) % 0.37/0.74 (step @p233 :rule reordering :premises (@p232) :args ((or @t208 @t219))) % 0.37/0.74 (step @p234 :rule chain_m_resolution :premises (@p233 @p231) :args (@t208 @t216 @t220)) % 0.37/0.74 (step @p235 :rule cnf_and_pos :args (@t217 1)) % 0.37/0.74 (step @p236 :rule reordering :premises (@p235) :args ((or @t211 @t219))) % 0.37/0.74 (step @p237 :rule chain_m_resolution :premises (@p236 @p231) :args (@t211 @t216 @t220)) % 0.37/0.74 (step @p238 :rule cnf_and_pos :args (@t217 0)) % 0.37/0.74 (step @p239 :rule reordering :premises (@p238) :args ((or @t213 @t219))) % 0.37/0.74 (step @p240 :rule chain_m_resolution :premises (@p239 @p231) :args (@t213 @t216 @t220)) % 0.37/0.74 (step @p241 :rule refl :args (@t124)) % 0.37/0.74 (step @p242 :rule nary_cong :premises (@p188 @p241) :args ((or @t194 @t124))) % 0.37/0.74 (step @p243 :rule bool-impl-elim :args (@t79 @t124)) % 0.37/0.74 (step @p244 :rule trans :premises (@p243 @p242)) % 0.37/0.74 (step @p245 :rule cong :premises (@p244) :args (@t125)) % 0.37/0.74 (step @p246 :rule eq_resolve :premises (@p41 @p245)) % 0.37/0.74 (step @p247 :rule instantiate :premises (@p246) :args (@t195)) % 0.37/0.74 (step @p248 :rule cnf_or_pos :args (@t230)) % 0.37/0.74 (step @p249 :rule reordering :premises (@p248) :args ((or @t202 @t229 (not @t230)))) % 0.37/0.74 (step @p250 :rule chain_m_resolution :premises (@p249 @p215 @p247) :args (@t229 @t205 (@list @t202 @t230))) % 0.37/0.74 (step @p251 :rule cnf_and_pos :args (@t229 6)) % 0.37/0.74 (step @p252 :rule reordering :premises (@p251) :args ((or @t221 (not @t229)))) % 0.37/0.74 (step @p253 :rule chain_m_resolution :premises (@p252 @p250) :args (@t221 @t216 (@list @t229))) % 0.37/0.74 (step @p254 :rule refl :args (@t146)) % 0.37/0.74 (step @p255 :rule nary_cong :premises (@p196 @p254) :args ((or @t196 @t146))) % 0.37/0.74 (step @p256 :rule bool-impl-elim :args (@t6 @t146)) % 0.37/0.74 (step @p257 :rule trans :premises (@p256 @p255)) % 0.37/0.74 (step @p258 :rule cong :premises (@p257) :args (@t147)) % 0.37/0.74 (step @p259 :rule eq_resolve :premises (@p71 @p258)) % 0.37/0.74 (step @p260 :rule instantiate :premises (@p259) :args (@t195)) % 0.37/0.74 (step @p261 :rule cnf_or_pos :args (@t232)) % 0.37/0.74 (step @p262 :rule reordering :premises (@p261) :args ((or @t198 @t231 (not @t232)))) % 0.37/0.74 (step @p263 :rule chain_m_resolution :premises (@p262 @p212 @p260) :args (@t231 @t205 (@list @t198 @t232))) % 0.37/0.74 (step @p264 :rule cnf_and_pos :args (@t231 5)) % 0.37/0.74 (step @p265 :rule reordering :premises (@p264) :args ((or @t223 @t233))) % 0.37/0.74 (step @p266 :rule chain_m_resolution :premises (@p265 @p263) :args (@t223 @t216 @t234)) % 0.37/0.74 (step @p267 :rule cnf_and_pos :args (@t231 1)) % 0.37/0.74 (step @p268 :rule reordering :premises (@p267) :args ((or @t226 @t233))) % 0.37/0.74 (step @p269 :rule chain_m_resolution :premises (@p268 @p263) :args (@t226 @t216 @t234)) % 0.37/0.74 (step @p270 :rule cnf_and_pos :args (@t231 0)) % 0.37/0.74 (step @p271 :rule reordering :premises (@p270) :args ((or @t228 @t233))) % 0.37/0.74 (step @p272 :rule chain_m_resolution :premises (@p271 @p263) :args (@t228 @t216 @t234)) % 0.37/0.74 (step @p273 :rule cnf_or_pos :args (@t244)) % 0.37/0.74 (step @p274 :rule reordering :premises (@p273) :args ((or @t227 @t243 @t242 @t241 @t212 @t240 @t239 @t238 @t237 (not @t244)))) % 0.37/0.74 (step @p275 :rule chain_m_resolution :premises (@p274 @p272 @p269 @p266 @p253 @p240 @p237 @p234 @p221 @p186) :args (@t237 (@list true false false false true false false false false) (@list @t227 @t226 @t223 @t221 @t212 @t211 @t208 @t206 @t244))) % 0.37/0.74 (step @p276 :rule cnf_or_neg :args (@t199 1)) % 0.37/0.74 (step @p277 :rule chain_m_resolution :premises (@p276 @p210) :args ((not @t197) @t200 @t201)) % 0.37/0.74 (step @p278 :rule bool-double-not-elim :args (@t235)) % 0.37/0.74 (step @p279 :rule refl :args (@t197)) % 0.37/0.74 (step @p280 :rule refl :args (@t245)) % 0.37/0.74 (step @p281 :rule nary_cong :premises (@p280 @p279 @p278) :args ((or @t245 @t197 (not @t236)))) % 0.37/0.74 (step @p282 :rule cnf_equiv_pos2 :args (@t237)) % 0.37/0.74 (step @p283 :rule eq_resolve :premises (@p282 @p281)) % 0.37/0.74 (step @p284 :rule reordering :premises (@p283) :args ((or @t197 @t235 @t245))) % 0.37/0.74 (step @p285 :rule chain_m_resolution :premises (@p284 @p277 @p275) :args (@t235 @t205 (@list @t197 @t237))) % 0.37/0.74 (step @p286 :rule refl :args (@t150)) % 0.37/0.74 (step @p287 :rule nary_cong :premises (@p196 @p286) :args ((or @t196 @t150))) % 0.37/0.74 (step @p288 :rule bool-impl-elim :args (@t6 @t150)) % 0.37/0.74 (step @p289 :rule trans :premises (@p288 @p287)) % 0.37/0.74 (step @p290 :rule cong :premises (@p289) :args (@t151)) % 0.37/0.74 (step @p291 :rule eq_resolve :premises (@p75 @p290)) % 0.37/0.74 (step @p292 :rule instantiate :premises (@p291) :args (@t195)) % 0.37/0.74 (step @p293 :rule cnf_or_pos :args (@t251)) % 0.37/0.74 (step @p294 :rule reordering :premises (@p293) :args ((or @t198 @t250 (not @t251)))) % 0.37/0.74 (step @p295 :rule chain_m_resolution :premises (@p294 @p212 @p292) :args (@t250 @t205 (@list @t198 @t251))) % 0.37/0.74 (step @p296 :rule cnf_and_pos :args (@t250 7)) % 0.37/0.74 (step @p297 :rule reordering :premises (@p296) :args ((or @t247 (not @t250)))) % 0.37/0.74 (step @p298 :rule chain_m_resolution :premises (@p297 @p295) :args (@t247 @t216 (@list @t250))) % 0.37/0.74 (step @p299 :rule refl :args (@t137)) % 0.37/0.75 (step @p300 :rule nary_cong :premises (@p196 @p299) :args ((or @t196 @t137))) % 0.37/0.75 (step @p301 :rule bool-impl-elim :args (@t6 @t137)) % 0.37/0.75 (step @p302 :rule trans :premises (@p301 @p300)) % 0.37/0.75 (step @p303 :rule cong :premises (@p302) :args (@t138)) % 0.37/0.75 (step @p304 :rule eq_resolve :premises (@p43 @p303)) % 0.37/0.75 (step @p305 :rule instantiate :premises (@p304) :args (@t195)) % 0.37/0.75 (step @p306 :rule cnf_or_pos :args (@t254)) % 0.37/0.75 (step @p307 :rule reordering :premises (@p306) :args ((or @t198 @t253 (not @t254)))) % 0.37/0.75 (step @p308 :rule chain_m_resolution :premises (@p307 @p212 @p305) :args (@t253 @t205 (@list @t198 @t254))) % 0.37/0.75 (step @p309 :rule cnf_and_pos :args (@t253 2)) % 0.37/0.75 (step @p310 :rule reordering :premises (@p309) :args ((or @t252 @t255))) % 0.37/0.75 (step @p311 :rule chain_m_resolution :premises (@p310 @p308) :args (@t252 @t216 @t256)) % 0.37/0.75 (step @p312 :rule cnf_and_pos :args (@t253 1)) % 0.37/0.75 (step @p313 :rule reordering :premises (@p312) :args ((or @t248 @t255))) % 0.37/0.75 (step @p314 :rule chain_m_resolution :premises (@p313 @p308) :args (@t248 @t216 @t256)) % 0.37/0.75 (step @p315 :rule cnf_or_pos :args (@t260)) % 0.37/0.75 (step @p316 :rule reordering :premises (@p315) :args ((or @t257 @t259 @t258 @t261))) % 0.37/0.75 (step @p317 :rule chain_m_resolution :premises (@p316 @p314 @p311 @p298) :args (@t261 (@list false false false) (@list @t248 @t252 @t247))) % 0.37/0.75 (assume-push @p324 @t235) % 0.37/0.75 (step @p319 :rule instantiate :premises (@p285) :args ((@list @t246))) % 0.37/0.75 (step-pop @p325 :rule scope :premises (@p319)) % 0.37/0.75 (step @p320 :rule process_scope :premises (@p325) :args (@t260)) % 0.37/0.75 (step @p322 :rule implies_elim :premises (@p320)) % 0.37/0.75 (step @p323 false :rule chain_m_resolution :premises (@p322 @p317 @p285) :args (false @t205 (@list @t260 @t235))) % 0.37/0.75 ) % 0.37/0.75 % SZS output end Proof % 0.37/0.75 % cvc5 exiting %------------------------------------------------------------------------------