%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TOP036+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 : n004.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 09:15:49 AM UTC 2026 % Result : Theorem 15.02s 15.29s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : TOP036+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 01:22:37 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 15.02/15.29 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.02/15.29 % SZS status Theorem % 15.02/15.29 % SZS output start Proof % 15.02/15.29 ( % 15.02/15.29 (declare-sort $$unsorted 0) % 15.02/15.29 (declare-const tptp.k1_relat_1 (-> $$unsorted $$unsorted)) % 15.02/15.29 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v1_tsep_1 (-> $$unsorted $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.k10_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.29 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v1_tex_3 (-> $$unsorted $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.29 (declare-const tptp.v2_t_0topsp (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v1_tdlat_3 (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v2_tops_1 (-> $$unsorted $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.k2_relat_1 (-> $$unsorted $$unsorted)) % 15.02/15.29 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.k4_pre_topc (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.02/15.29 (declare-const tptp.m1_pre_topc (-> $$unsorted $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.k3_tsp_2 (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.29 (declare-const tptp.k4_tex_4 (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.29 (declare-const tptp.v1_borsuk_1 (-> $$unsorted $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v2_tdlat_3 (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v2_pre_topc (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 15.02/15.29 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.k2_pre_topc (-> $$unsorted $$unsorted)) % 15.02/15.29 (declare-const tptp.m2_tsp_1 (-> $$unsorted $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v4_tdlat_3 (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v3_tdlat_3 (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.l1_pre_topc (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v2_tex_2 (-> $$unsorted $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.k1_struct_0 (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.29 (declare-const tptp.k1_xboole_0 $$unsorted) % 15.02/15.29 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v3_realset2 (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.k8_funct_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.02/15.29 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.29 (declare-const tptp.v4_pre_topc (-> $$unsorted $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v3_pre_topc (-> $$unsorted $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v2_tsp_2 (-> $$unsorted $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v5_tdlat_3 (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v3_tops_1 (-> $$unsorted $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.k1_tsp_2 (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.29 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.v5_pre_topc (-> $$unsorted $$unsorted $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.k2_tex_4 (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.29 (declare-const tptp.k5_pre_topc (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.02/15.29 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 15.02/15.29 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 15.02/15.29 (declare-const tptp.v1_tops_1 (-> $$unsorted $$unsorted Bool)) % 15.02/15.29 (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 15.02/15.29 (define @t1 () (@var "C" $$unsorted)) % 15.02/15.29 (define @t2 () (@var "A" $$unsorted)) % 15.02/15.29 (define @t3 () (tptp.k4_tex_4 @t2 @t1)) % 15.02/15.29 (define @t4 () (@var "B" $$unsorted)) % 15.02/15.29 (define @t5 () (tptp.k3_tsp_2 @t2 @t4)) % 15.02/15.29 (define @t6 () (= (tptp.k4_pre_topc @t2 @t4 @t5 (tptp.k1_struct_0 @t2 @t1)) (tptp.k4_pre_topc @t2 @t4 @t5 @t3))) % 15.02/15.29 (define @t7 () (tptp.u1_struct_0 @t2)) % 15.02/15.29 (define @t8 () (tptp.m1_subset_1 @t1 @t7)) % 15.02/15.29 (define @t9 () (@list @t1)) % 15.02/15.29 (define @t10 () (forall @t9 (=> @t8 @t6))) % 15.02/15.29 (define @t11 () (tptp.m2_tsp_1 @t4 @t2)) % 15.02/15.29 (define @t12 () (tptp.v2_tsp_2 @t4 @t2)) % 15.02/15.29 (define @t13 () (tptp.v3_struct_0 @t4)) % 15.02/15.29 (define @t14 () (not @t13)) % 15.02/15.29 (define @t15 () (and @t14 @t12 @t11)) % 15.02/15.29 (define @t16 () (=> @t15 @t10)) % 15.02/15.29 (define @t17 () (@list @t4)) % 15.02/15.29 (define @t18 () (forall @t17 @t16)) % 15.02/15.29 (define @t19 () (tptp.l1_pre_topc @t2)) % 15.02/15.29 (define @t20 () (tptp.v2_pre_topc @t2)) % 15.02/15.29 (define @t21 () (tptp.v3_struct_0 @t2)) % 15.02/15.29 (define @t22 () (not @t21)) % 15.02/15.29 (define @t23 () (and @t22 @t20 @t19)) % 15.02/15.29 (define @t24 () (=> @t23 @t18)) % 15.02/15.29 (define @t25 () (@list @t2)) % 15.02/15.29 (define @t26 () (forall @t25 @t24)) % 15.02/15.29 (define @t27 () (not @t26)) % 15.02/15.29 (define @t28 () (tptp.r2_hidden @t2 @t4)) % 15.02/15.29 (define @t29 () (@list @t2 @t4)) % 15.02/15.29 (define @t30 () (tptp.v1_xcmplx_0 @t4)) % 15.02/15.29 (define @t31 () (tptp.m1_subset_1 @t4 @t2)) % 15.02/15.29 (define @t32 () (tptp.v1_membered @t2)) % 15.02/15.29 (define @t33 () (tptp.v3_tdlat_3 @t2)) % 15.02/15.29 (define @t34 () (tptp.v2_tdlat_3 @t2)) % 15.02/15.29 (define @t35 () (not @t34)) % 15.02/15.29 (define @t36 () (tptp.v1_tdlat_3 @t2)) % 15.02/15.29 (define @t37 () (not @t36)) % 15.02/15.29 (define @t38 () (tptp.v3_realset2 @t2)) % 15.02/15.29 (define @t39 () (not @t38)) % 15.02/15.29 (define @t40 () (tptp.v2_t_0topsp @t2)) % 15.02/15.29 (define @t41 () (tptp.v1_borsuk_1 @t4 @t2)) % 15.02/15.29 (define @t42 () (tptp.v2_pre_topc @t4)) % 15.02/15.29 (define @t43 () (tptp.v2_tex_2 @t4 @t2)) % 15.02/15.29 (define @t44 () (and @t43 @t12)) % 15.02/15.29 (define @t45 () (tptp.m1_pre_topc @t4 @t2)) % 15.02/15.29 (define @t46 () (tptp.v1_xreal_0 @t4)) % 15.02/15.29 (define @t47 () (tptp.v2_membered @t2)) % 15.02/15.29 (define @t48 () (tptp.v2_t_0topsp @t4)) % 15.02/15.29 (define @t49 () (and @t14 @t48)) % 15.02/15.29 (define @t50 () (tptp.v1_rat_1 @t4)) % 15.02/15.29 (define @t51 () (tptp.v3_membered @t2)) % 15.02/15.29 (define @t52 () (not @t48)) % 15.02/15.29 (define @t53 () (not @t43)) % 15.02/15.29 (define @t54 () (not @t40)) % 15.02/15.29 (define @t55 () (and @t22 @t20 @t54 @t19)) % 15.02/15.29 (define @t56 () (tptp.v1_int_1 @t4)) % 15.02/15.29 (define @t57 () (tptp.v4_membered @t2)) % 15.02/15.29 (define @t58 () (tptp.v5_membered @t2)) % 15.02/15.29 (define @t59 () (tptp.v1_xboole_0 @t2)) % 15.02/15.29 (define @t60 () (tptp.v1_membered @t4)) % 15.02/15.29 (define @t61 () (tptp.k1_zfmisc_1 @t2)) % 15.02/15.29 (define @t62 () (tptp.m1_subset_1 @t4 @t61)) % 15.02/15.29 (define @t63 () (tptp.v2_membered @t4)) % 15.02/15.29 (define @t64 () (tptp.v3_membered @t4)) % 15.02/15.29 (define @t65 () (tptp.v4_membered @t4)) % 15.02/15.29 (define @t66 () (and @t20 @t19)) % 15.02/15.29 (define @t67 () (tptp.v1_relat_1 @t1)) % 15.02/15.29 (define @t68 () (tptp.k2_zfmisc_1 @t2 @t4)) % 15.02/15.29 (define @t69 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t68))) % 15.02/15.29 (define @t70 () (@list @t2 @t4 @t1)) % 15.02/15.29 (define @t71 () (forall @t70 (=> @t69 @t67))) % 15.02/15.29 (define @t72 () (tptp.v4_pre_topc @t4 @t2)) % 15.02/15.29 (define @t73 () (tptp.v3_pre_topc @t4 @t2)) % 15.02/15.29 (define @t74 () (tptp.v1_xboole_0 @t4)) % 15.02/15.29 (define @t75 () (tptp.k1_zfmisc_1 @t7)) % 15.02/15.29 (define @t76 () (tptp.m1_subset_1 @t4 @t75)) % 15.02/15.29 (define @t77 () (and @t22 @t19)) % 15.02/15.29 (define @t78 () (tptp.v5_membered @t4)) % 15.02/15.29 (define @t79 () (tptp.v2_tops_1 @t4 @t2)) % 15.02/15.29 (define @t80 () (not @t12)) % 15.02/15.29 (define @t81 () (tptp.v3_tops_1 @t4 @t2)) % 15.02/15.29 (define @t82 () (tptp.v1_tex_3 @t4 @t2)) % 15.02/15.29 (define @t83 () (and @t42 @t80)) % 15.02/15.29 (define @t84 () (and @t42 @t53)) % 15.02/15.29 (define @t85 () (tptp.v1_tsep_1 @t4 @t2)) % 15.02/15.29 (define @t86 () (tptp.v5_tdlat_3 @t2)) % 15.02/15.29 (define @t87 () (tptp.v4_tdlat_3 @t2)) % 15.02/15.29 (define @t88 () (tptp.k1_struct_0 @t2 @t4)) % 15.02/15.29 (define @t89 () (tptp.m1_subset_1 @t4 @t7)) % 15.02/15.29 (define @t90 () (tptp.l1_struct_0 @t2)) % 15.02/15.29 (define @t91 () (and @t22 @t90 @t89)) % 15.02/15.29 (define @t92 () (tptp.u1_struct_0 @t4)) % 15.02/15.29 (define @t93 () (tptp.k1_tsp_2 @t2 @t4)) % 15.02/15.29 (define @t94 () (and (tptp.v1_funct_1 @t93) (tptp.v1_funct_2 @t93 @t7 @t92) (tptp.v5_pre_topc @t93 @t2 @t4) (tptp.m2_relset_1 @t93 @t7 @t92))) % 15.02/15.29 (define @t95 () (and @t22 @t20 @t19 @t14 @t12 @t45)) % 15.02/15.29 (define @t96 () (forall @t29 (=> @t95 @t94))) % 15.02/15.29 (define @t97 () (tptp.k2_pre_topc @t2)) % 15.02/15.29 (define @t98 () (tptp.k2_tex_4 @t2 @t4)) % 15.02/15.29 (define @t99 () (tptp.m1_subset_1 @t98 @t75)) % 15.02/15.29 (define @t100 () (and @t19 @t89)) % 15.02/15.29 (define @t101 () (forall @t29 (=> @t100 @t99))) % 15.02/15.29 (define @t102 () (and (tptp.v1_funct_1 @t5) (tptp.v1_funct_2 @t5 @t7 @t92) (tptp.v5_pre_topc @t5 @t2 @t4) (tptp.m2_relset_1 @t5 @t7 @t92))) % 15.02/15.29 (define @t103 () (forall @t29 (=> @t95 @t102))) % 15.02/15.29 (define @t104 () (@var "D" $$unsorted)) % 15.02/15.29 (define @t105 () (tptp.k4_pre_topc @t2 @t4 @t1 @t104)) % 15.02/15.29 (define @t106 () (tptp.m1_relset_1 @t1 @t7 @t92)) % 15.02/15.29 (define @t107 () (tptp.v1_funct_2 @t1 @t7 @t92)) % 15.02/15.29 (define @t108 () (tptp.v1_funct_1 @t1)) % 15.02/15.29 (define @t109 () (tptp.l1_struct_0 @t4)) % 15.02/15.29 (define @t110 () (and @t90 @t109 @t108 @t107 @t106)) % 15.02/15.29 (define @t111 () (@list @t2 @t4 @t1 @t104)) % 15.02/15.29 (define @t112 () (tptp.k4_tex_4 @t2 @t4)) % 15.02/15.29 (define @t113 () (and (not (tptp.v1_xboole_0 @t112)) (tptp.m1_subset_1 @t112 @t75))) % 15.02/15.29 (define @t114 () (and @t22 @t20 @t19 @t89)) % 15.02/15.29 (define @t115 () (forall @t29 (=> @t114 @t113))) % 15.02/15.29 (define @t116 () (tptp.k5_pre_topc @t2 @t4 @t1 @t104)) % 15.02/15.29 (define @t117 () (tptp.k8_funct_2 @t2 @t4 @t1 @t104)) % 15.02/15.29 (define @t118 () (tptp.m1_subset_1 @t117 @t4)) % 15.02/15.29 (define @t119 () (tptp.m1_subset_1 @t104 @t2)) % 15.02/15.29 (define @t120 () (tptp.m1_relset_1 @t1 @t2 @t4)) % 15.02/15.29 (define @t121 () (tptp.v1_funct_2 @t1 @t2 @t4)) % 15.02/15.29 (define @t122 () (not @t59)) % 15.02/15.29 (define @t123 () (and @t122 @t108 @t121 @t120 @t119)) % 15.02/15.29 (define @t124 () (forall @t111 (=> @t123 @t118))) % 15.02/15.29 (define @t125 () (forall @t25 (=> @t19 @t90))) % 15.02/15.29 (define @t126 () (tptp.l1_pre_topc @t4)) % 15.02/15.29 (define @t127 () (tptp.m2_relset_1 @t1 @t2 @t4)) % 15.02/15.29 (define @t128 () (forall @t70 (=> @t127 @t69))) % 15.02/15.29 (define @t129 () (forall @t17 (=> @t11 @t126))) % 15.02/15.29 (define @t130 () (=> @t19 @t129)) % 15.02/15.29 (define @t131 () (forall @t25 @t130)) % 15.02/15.29 (define @t132 () (tptp.k1_tarski @t2)) % 15.02/15.29 (define @t133 () (tptp.v4_membered @t132)) % 15.02/15.29 (define @t134 () (tptp.v3_membered @t132)) % 15.02/15.29 (define @t135 () (tptp.v2_membered @t132)) % 15.02/15.29 (define @t136 () (tptp.v1_membered @t132)) % 15.02/15.29 (define @t137 () (not (tptp.v1_xboole_0 @t7))) % 15.02/15.29 (define @t138 () (and @t22 @t90)) % 15.02/15.29 (define @t139 () (forall @t25 (=> @t138 @t137))) % 15.02/15.29 (define @t140 () (not @t74)) % 15.02/15.29 (define @t141 () (tptp.v4_pre_topc @t97 @t2)) % 15.02/15.29 (define @t142 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 15.02/15.29 (define @t143 () (tptp.k1_tarski @t4)) % 15.02/15.29 (define @t144 () (= @t88 @t143)) % 15.02/15.29 (define @t145 () (forall @t29 (=> @t91 @t144))) % 15.02/15.29 (define @t146 () (= @t5 @t93)) % 15.02/15.29 (define @t147 () (forall @t29 (=> @t95 @t146))) % 15.02/15.29 (define @t148 () (= @t105 (tptp.k9_relat_1 @t1 @t104))) % 15.02/15.29 (define @t149 () (forall @t111 (=> @t110 @t148))) % 15.02/15.29 (define @t150 () (=> @t114 (= @t112 @t98))) % 15.02/15.29 (define @t151 () (forall @t29 @t150)) % 15.02/15.29 (define @t152 () (= @t116 (tptp.k10_relat_1 @t1 @t104))) % 15.02/15.29 (define @t153 () (forall @t111 (=> @t110 @t152))) % 15.02/15.29 (define @t154 () (= @t117 (tptp.k1_funct_1 @t1 @t104))) % 15.02/15.29 (define @t155 () (forall @t111 (=> @t123 @t154))) % 15.02/15.29 (define @t156 () (forall @t70 (= @t127 @t120))) % 15.02/15.29 (define @t157 () (forall @t17 (= @t11 @t45))) % 15.02/15.29 (define @t158 () (forall @t25 (=> @t19 @t157))) % 15.02/15.29 (define @t159 () (= (tptp.k9_relat_1 @t4 @t132) (tptp.k1_tarski (tptp.k1_funct_1 @t4 @t2)))) % 15.02/15.29 (define @t160 () (tptp.k1_relat_1 @t4)) % 15.02/15.29 (define @t161 () (tptp.r2_hidden @t2 @t160)) % 15.02/15.29 (define @t162 () (=> @t161 @t159)) % 15.02/15.29 (define @t163 () (tptp.v1_funct_1 @t4)) % 15.02/15.29 (define @t164 () (tptp.v1_relat_1 @t4)) % 15.02/15.29 (define @t165 () (and @t164 @t163)) % 15.02/15.29 (define @t166 () (forall @t29 (=> @t165 @t162))) % 15.02/15.29 (define @t167 () (=> @t90 (= @t97 @t7))) % 15.02/15.29 (define @t168 () (forall @t25 @t167)) % 15.02/15.29 (define @t169 () (tptp.r1_tarski (tptp.k9_relat_1 @t4 (tptp.k10_relat_1 @t4 @t2)) @t2)) % 15.02/15.29 (define @t170 () (forall @t29 (=> @t165 @t169))) % 15.02/15.29 (define @t171 () (tptp.k9_relat_1 @t4 @t2)) % 15.02/15.29 (define @t172 () (tptp.r1_tarski @t2 @t160)) % 15.02/15.29 (define @t173 () (= @t2 tptp.k1_xboole_0)) % 15.02/15.29 (define @t174 () (not @t173)) % 15.02/15.29 (define @t175 () (and @t174 @t172 (= @t171 tptp.k1_xboole_0))) % 15.02/15.29 (define @t176 () (not @t175)) % 15.02/15.29 (define @t177 () (=> @t164 @t176)) % 15.02/15.29 (define @t178 () (forall @t29 @t177)) % 15.02/15.29 (define @t179 () (tptp.m1_subset_1 @t2 @t4)) % 15.02/15.29 (define @t180 () (tptp.k5_pre_topc @t2 @t4 @t5 (tptp.k1_struct_0 @t4 (tptp.k8_funct_2 @t7 @t92 @t5 @t1)))) % 15.02/15.29 (define @t181 () (=> @t8 (= @t180 @t3))) % 15.02/15.29 (define @t182 () (forall @t9 @t181)) % 15.02/15.29 (define @t183 () (=> @t15 @t182)) % 15.02/15.29 (define @t184 () (forall @t17 @t183)) % 15.02/15.29 (define @t185 () (=> @t23 @t184)) % 15.02/15.29 (define @t186 () (forall @t25 @t185)) % 15.02/15.29 (define @t187 () (or @t74 @t28)) % 15.02/15.29 (define @t188 () (forall @t29 (=> @t179 @t187))) % 15.02/15.29 (define @t189 () (forall @t29 (= (tptp.r1_tarski @t2 @t143) (or @t173 (= @t2 @t143))))) % 15.02/15.29 (define @t190 () (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t1))) % 15.02/15.29 (define @t191 () (tptp.k2_pre_topc @t4)) % 15.02/15.29 (define @t192 () (tptp.r1_tarski (tptp.k2_relat_1 @t1) @t191)) % 15.02/15.29 (define @t193 () (tptp.k1_relat_1 @t1)) % 15.02/15.29 (define @t194 () (and (= @t193 @t97) @t192)) % 15.02/15.29 (define @t195 () (tptp.m2_relset_1 @t1 @t7 @t92)) % 15.02/15.29 (define @t196 () (and @t108 @t107 @t195)) % 15.02/15.29 (define @t197 () (=> @t196 @t194)) % 15.02/15.29 (define @t198 () (forall @t9 @t197)) % 15.02/15.29 (define @t199 () (and @t14 @t109)) % 15.02/15.29 (define @t200 () (=> @t199 @t198)) % 15.02/15.29 (define @t201 () (forall @t17 @t200)) % 15.02/15.29 (define @t202 () (=> @t90 @t201)) % 15.02/15.29 (define @t203 () (forall @t25 @t202)) % 15.02/15.29 (define @t204 () (not @t89)) % 15.02/15.29 (define @t205 () (not @t19)) % 15.02/15.29 (define @t206 () (not @t20)) % 15.02/15.29 (define @t207 () (or @t21 @t206 @t205 @t204)) % 15.02/15.29 (define @t208 () (not @t22)) % 15.02/15.29 (define @t209 () (or @t208 @t206 @t205 @t204)) % 15.02/15.29 (define @t210 () (or @t205 @t204)) % 15.02/15.29 (define @t211 () (not @t100)) % 15.02/15.29 (define @t212 () (not @t114)) % 15.02/15.29 (define @t213 () (@var "BOUND_VARIABLE_8164" $$unsorted)) % 15.02/15.29 (define @t214 () (@var "BOUND_VARIABLE_8162" $$unsorted)) % 15.02/15.29 (define @t215 () (tptp.k3_tsp_2 @t2 @t214)) % 15.02/15.29 (define @t216 () (= (tptp.k4_pre_topc @t2 @t214 @t215 (tptp.k1_struct_0 @t2 @t213)) (tptp.k4_pre_topc @t2 @t214 @t215 (tptp.k4_tex_4 @t2 @t213)))) % 15.02/15.29 (define @t217 () (not (tptp.m1_subset_1 @t213 @t7))) % 15.02/15.29 (define @t218 () (not (tptp.m2_tsp_1 @t214 @t2))) % 15.02/15.29 (define @t219 () (not (tptp.v2_tsp_2 @t214 @t2))) % 15.02/15.29 (define @t220 () (tptp.v3_struct_0 @t214)) % 15.02/15.29 (define @t221 () (or @t21 @t206 @t205 @t220 @t219 @t218 @t217 @t216)) % 15.02/15.29 (define @t222 () (@list @t2 @t214 @t213)) % 15.02/15.29 (define @t223 () (forall @t222 @t221)) % 15.02/15.29 (define @t224 () (@quantifiers_skolemize @t223 2)) % 15.02/15.29 (define @t225 () (@quantifiers_skolemize @t223 0)) % 15.02/15.29 (define @t226 () (@list @t225 @t224)) % 15.02/15.29 (define @t227 () (or @t220 @t219 @t218 @t217 @t216)) % 15.02/15.29 (define @t228 () (or @t21 @t206 @t205 @t227)) % 15.02/15.29 (define @t229 () (forall @t222 @t228)) % 15.02/15.29 (define @t230 () (@list @t214 @t213)) % 15.02/15.29 (define @t231 () (forall @t230 @t228)) % 15.02/15.29 (define @t232 () (forall @t230 @t227)) % 15.02/15.29 (define @t233 () (@var "BOUND_VARIABLE_8139" $$unsorted)) % 15.02/15.29 (define @t234 () (or @t21 @t206 @t205 @t232)) % 15.02/15.29 (define @t235 () (= (tptp.k4_pre_topc @t2 @t4 @t5 (tptp.k1_struct_0 @t2 @t233)) (tptp.k4_pre_topc @t2 @t4 @t5 (tptp.k4_tex_4 @t2 @t233)))) % 15.02/15.29 (define @t236 () (not (tptp.m1_subset_1 @t233 @t7))) % 15.02/15.29 (define @t237 () (not @t11)) % 15.02/15.29 (define @t238 () (or @t13 @t80 @t237 @t236 @t235)) % 15.02/15.29 (define @t239 () (@list @t4 @t233)) % 15.02/15.29 (define @t240 () (forall @t239 @t238)) % 15.02/15.29 (define @t241 () (or @t21 @t206 @t205 @t240)) % 15.02/15.29 (define @t242 () (or @t21 @t206 @t205)) % 15.02/15.29 (define @t243 () (or @t208 @t206 @t205)) % 15.02/15.29 (define @t244 () (not @t23)) % 15.02/15.29 (define @t245 () (or @t236 @t235)) % 15.02/15.29 (define @t246 () (or @t13 @t80 @t237 @t245)) % 15.02/15.29 (define @t247 () (forall @t239 @t246)) % 15.02/15.29 (define @t248 () (@list @t233)) % 15.02/15.29 (define @t249 () (forall @t248 @t246)) % 15.02/15.29 (define @t250 () (forall @t248 @t245)) % 15.02/15.29 (define @t251 () (@list @t1)) % 15.02/15.29 (define @t252 () (or @t13 @t80 @t237 @t250)) % 15.02/15.29 (define @t253 () (not @t8)) % 15.02/15.29 (define @t254 () (forall @t9 (or @t253 @t6))) % 15.02/15.29 (define @t255 () (or @t13 @t80 @t237 @t254)) % 15.02/15.29 (define @t256 () (or @t13 @t80 @t237)) % 15.02/15.29 (define @t257 () (not @t14)) % 15.02/15.29 (define @t258 () (or @t257 @t80 @t237)) % 15.02/15.29 (define @t259 () (not @t15)) % 15.02/15.29 (define @t260 () (tptp.u1_struct_0 @t225)) % 15.02/15.29 (define @t261 () (tptp.m1_subset_1 @t224 @t260)) % 15.02/15.29 (define @t262 () (tptp.k4_tex_4 @t225 @t224)) % 15.02/15.29 (define @t263 () (@quantifiers_skolemize @t223 1)) % 15.02/15.29 (define @t264 () (tptp.k3_tsp_2 @t225 @t263)) % 15.02/15.29 (define @t265 () (tptp.k4_pre_topc @t225 @t263 @t264 @t262)) % 15.02/15.29 (define @t266 () (tptp.k1_struct_0 @t225 @t224)) % 15.02/15.29 (define @t267 () (tptp.k4_pre_topc @t225 @t263 @t264 @t266)) % 15.02/15.29 (define @t268 () (= @t267 @t265)) % 15.02/15.29 (define @t269 () (not @t261)) % 15.02/15.29 (define @t270 () (tptp.m2_tsp_1 @t263 @t225)) % 15.02/15.29 (define @t271 () (not @t270)) % 15.02/15.29 (define @t272 () (tptp.v2_tsp_2 @t263 @t225)) % 15.02/15.29 (define @t273 () (not @t272)) % 15.02/15.29 (define @t274 () (tptp.v3_struct_0 @t263)) % 15.02/15.29 (define @t275 () (tptp.l1_pre_topc @t225)) % 15.02/15.29 (define @t276 () (not @t275)) % 15.02/15.29 (define @t277 () (tptp.v2_pre_topc @t225)) % 15.02/15.29 (define @t278 () (not @t277)) % 15.02/15.29 (define @t279 () (tptp.v3_struct_0 @t225)) % 15.02/15.29 (define @t280 () (or @t279 @t278 @t276 @t274 @t273 @t271 @t269 @t268)) % 15.02/15.29 (define @t281 () (@list true)) % 15.02/15.29 (define @t282 () (@list @t280)) % 15.02/15.29 (define @t283 () (tptp.k1_zfmisc_1 @t260)) % 15.02/15.29 (define @t284 () (tptp.v1_xboole_0 @t262)) % 15.02/15.29 (define @t285 () (not @t284)) % 15.02/15.29 (define @t286 () (and @t285 (tptp.m1_subset_1 @t262 @t283))) % 15.02/15.29 (define @t287 () (or @t279 @t278 @t276 @t269 @t286)) % 15.02/15.29 (define @t288 () (@list true false false false false)) % 15.02/15.29 (define @t289 () (@list false)) % 15.02/15.29 (define @t290 () (= tptp.k1_xboole_0 @t171)) % 15.02/15.29 (define @t291 () (not @t290)) % 15.02/15.29 (define @t292 () (not @t172)) % 15.02/15.29 (define @t293 () (not @t164)) % 15.02/15.29 (define @t294 () (or @t293 @t173 @t292 @t291)) % 15.02/15.29 (define @t295 () (not @t174)) % 15.02/15.29 (define @t296 () (or @t295 @t292 @t291)) % 15.02/15.29 (define @t297 () (not (and @t174 @t172 @t290))) % 15.02/15.29 (define @t298 () (tptp.k9_relat_1 @t264 @t262)) % 15.02/15.29 (define @t299 () (= tptp.k1_xboole_0 @t298)) % 15.02/15.29 (define @t300 () (not @t299)) % 15.02/15.29 (define @t301 () (tptp.k1_relat_1 @t264)) % 15.02/15.29 (define @t302 () (tptp.r1_tarski @t262 @t301)) % 15.02/15.29 (define @t303 () (not @t302)) % 15.02/15.29 (define @t304 () (tptp.v1_relat_1 @t264)) % 15.02/15.29 (define @t305 () (not @t304)) % 15.02/15.29 (define @t306 () (or @t305 (= @t262 tptp.k1_xboole_0) @t303 @t300)) % 15.02/15.29 (define @t307 () (forall @t29 @t294)) % 15.02/15.29 (define @t308 () (= tptp.k1_xboole_0 @t262)) % 15.02/15.29 (define @t309 () (or @t305 @t308 @t303 @t300)) % 15.02/15.29 (define @t310 () (tptp.u1_struct_0 @t263)) % 15.02/15.29 (define @t311 () (tptp.k8_funct_2 @t260 @t310 @t264 @t224)) % 15.02/15.29 (define @t312 () (tptp.k1_struct_0 @t263 @t311)) % 15.02/15.29 (define @t313 () (tptp.k10_relat_1 @t264 @t312)) % 15.02/15.29 (define @t314 () (tptp.k9_relat_1 @t264 @t313)) % 15.02/15.29 (define @t315 () (tptp.k1_funct_1 @t264 @t224)) % 15.02/15.29 (define @t316 () (tptp.k1_tarski @t315)) % 15.02/15.29 (define @t317 () (or (= @t314 tptp.k1_xboole_0) (= @t314 @t316))) % 15.02/15.29 (define @t318 () (tptp.r1_tarski @t314 @t316)) % 15.02/15.29 (define @t319 () (= @t318 @t317)) % 15.02/15.29 (define @t320 () (= @t316 @t314)) % 15.02/15.29 (define @t321 () (= tptp.k1_xboole_0 @t314)) % 15.02/15.29 (define @t322 () (or @t321 @t320)) % 15.02/15.29 (define @t323 () (= @t318 @t322)) % 15.02/15.29 (define @t324 () (not @t163)) % 15.02/15.29 (define @t325 () (or @t293 @t324)) % 15.02/15.29 (define @t326 () (not @t165)) % 15.02/15.29 (define @t327 () (tptp.k1_tsp_2 @t225 @t263)) % 15.02/15.29 (define @t328 () (@list @t260 @t310 @t327)) % 15.02/15.29 (define @t329 () (not @t45)) % 15.02/15.29 (define @t330 () (or @t21 @t206 @t205 @t13 @t80 @t329)) % 15.02/15.29 (define @t331 () (or @t208 @t206 @t205 @t257 @t80 @t329)) % 15.02/15.29 (define @t332 () (not @t95)) % 15.02/15.29 (define @t333 () (@list @t225 @t263)) % 15.02/15.29 (define @t334 () (@var "BOUND_VARIABLE_9319" $$unsorted)) % 15.02/15.29 (define @t335 () (= (tptp.m2_tsp_1 @t334 @t2) (tptp.m1_pre_topc @t334 @t2))) % 15.02/15.29 (define @t336 () (or @t205 @t335)) % 15.02/15.29 (define @t337 () (@list @t334)) % 15.02/15.29 (define @t338 () (forall @t337 @t336)) % 15.02/15.29 (define @t339 () (forall @t337 @t335)) % 15.02/15.29 (define @t340 () (@list @t4)) % 15.02/15.29 (define @t341 () (or @t205 @t339)) % 15.02/15.29 (define @t342 () (tptp.m1_pre_topc @t263 @t225)) % 15.02/15.29 (define @t343 () (= @t270 @t342)) % 15.02/15.29 (define @t344 () (or @t276 @t343)) % 15.02/15.29 (define @t345 () (@list false false)) % 15.02/15.29 (define @t346 () (tptp.m2_relset_1 @t327 @t260 @t310)) % 15.02/15.29 (define @t347 () (tptp.v1_funct_2 @t327 @t260 @t310)) % 15.02/15.29 (define @t348 () (tptp.v1_funct_1 @t327)) % 15.02/15.29 (define @t349 () (and @t348 @t347 (tptp.v5_pre_topc @t327 @t225 @t263) @t346)) % 15.02/15.29 (define @t350 () (not @t342)) % 15.02/15.29 (define @t351 () (or @t279 @t278 @t276 @t274 @t273 @t350 @t349)) % 15.02/15.29 (define @t352 () (@list true false false true false false false)) % 15.02/15.29 (define @t353 () (not @t349)) % 15.02/15.29 (define @t354 () (@list @t349)) % 15.02/15.29 (define @t355 () (tptp.m1_subset_1 @t327 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t260 @t310)))) % 15.02/15.29 (define @t356 () (not @t346)) % 15.02/15.29 (define @t357 () (or @t356 @t355)) % 15.02/15.29 (define @t358 () (tptp.v1_relat_1 @t327)) % 15.02/15.29 (define @t359 () (not @t355)) % 15.02/15.29 (define @t360 () (or @t359 @t358)) % 15.02/15.29 (define @t361 () (= @t264 @t327)) % 15.02/15.29 (define @t362 () (or @t279 @t278 @t276 @t274 @t273 @t350 @t361)) % 15.02/15.29 (define @t363 () (tptp.m2_relset_1 @t264 @t260 @t310)) % 15.02/15.29 (define @t364 () (tptp.v1_funct_2 @t264 @t260 @t310)) % 15.02/15.29 (define @t365 () (tptp.v1_funct_1 @t264)) % 15.02/15.29 (define @t366 () (and @t365 @t364 (tptp.v5_pre_topc @t264 @t225 @t263) @t363)) % 15.02/15.29 (define @t367 () (or @t279 @t278 @t276 @t274 @t273 @t350 @t366)) % 15.02/15.29 (define @t368 () (not @t366)) % 15.02/15.29 (define @t369 () (@list @t366)) % 15.02/15.29 (define @t370 () (tptp.r1_tarski @t314 @t312)) % 15.02/15.29 (define @t371 () (not @t365)) % 15.02/15.29 (define @t372 () (or @t305 @t371 @t370)) % 15.02/15.29 (define @t373 () (@list false false false)) % 15.02/15.29 (define @t374 () (not @t90)) % 15.02/15.29 (define @t375 () (or @t208 @t374 @t204)) % 15.02/15.29 (define @t376 () (not @t119)) % 15.02/15.29 (define @t377 () (not @t120)) % 15.02/15.29 (define @t378 () (not @t121)) % 15.02/15.29 (define @t379 () (not @t108)) % 15.02/15.29 (define @t380 () (or @t59 @t379 @t378 @t377 @t376)) % 15.02/15.29 (define @t381 () (not @t122)) % 15.02/15.29 (define @t382 () (or @t381 @t379 @t378 @t377 @t376)) % 15.02/15.29 (define @t383 () (not @t123)) % 15.02/15.29 (define @t384 () (@list @t260 @t310 @t264 @t224)) % 15.02/15.29 (define @t385 () (@list @t225)) % 15.02/15.29 (define @t386 () (tptp.l1_struct_0 @t225)) % 15.02/15.29 (define @t387 () (or @t276 @t386)) % 15.02/15.29 (define @t388 () (tptp.v1_xboole_0 @t260)) % 15.02/15.29 (define @t389 () (not @t388)) % 15.02/15.29 (define @t390 () (not @t386)) % 15.02/15.29 (define @t391 () (or @t279 @t390 @t389)) % 15.02/15.29 (define @t392 () (tptp.m1_relset_1 @t264 @t260 @t310)) % 15.02/15.29 (define @t393 () (forall @t70 (= @t120 @t127))) % 15.02/15.29 (define @t394 () (= @t392 @t363)) % 15.02/15.29 (define @t395 () (= @t363 @t392)) % 15.02/15.29 (define @t396 () (tptp.m1_subset_1 @t311 @t310)) % 15.02/15.29 (define @t397 () (not @t392)) % 15.02/15.29 (define @t398 () (not @t364)) % 15.02/15.29 (define @t399 () (or @t388 @t371 @t398 @t397 @t269 @t396)) % 15.02/15.29 (define @t400 () (@list false false false false true false)) % 15.02/15.29 (define @t401 () (@var "BOUND_VARIABLE_9081" $$unsorted)) % 15.02/15.29 (define @t402 () (tptp.l1_pre_topc @t401)) % 15.02/15.29 (define @t403 () (not (tptp.m2_tsp_1 @t401 @t2))) % 15.02/15.29 (define @t404 () (or @t403 @t402)) % 15.02/15.29 (define @t405 () (or @t205 @t404)) % 15.02/15.29 (define @t406 () (forall (@list @t2 @t401) @t405)) % 15.02/15.29 (define @t407 () (@list @t401)) % 15.02/15.29 (define @t408 () (forall @t407 @t405)) % 15.02/15.29 (define @t409 () (forall @t407 @t404)) % 15.02/15.29 (define @t410 () (or @t205 @t409)) % 15.02/15.29 (define @t411 () (forall @t17 (or @t237 @t126))) % 15.02/15.29 (define @t412 () (tptp.l1_pre_topc @t263)) % 15.02/15.29 (define @t413 () (or @t276 @t271 @t412)) % 15.02/15.29 (define @t414 () (tptp.l1_struct_0 @t263)) % 15.02/15.29 (define @t415 () (not @t412)) % 15.02/15.29 (define @t416 () (or @t415 @t414)) % 15.02/15.29 (define @t417 () (= @t312 (tptp.k1_tarski @t311))) % 15.02/15.29 (define @t418 () (not @t396)) % 15.02/15.29 (define @t419 () (not @t414)) % 15.02/15.29 (define @t420 () (or @t274 @t419 @t418 @t417)) % 15.02/15.29 (define @t421 () (@list true false false false)) % 15.02/15.29 (define @t422 () (or @t59 @t379 @t378 @t377 @t376 @t154)) % 15.02/15.29 (define @t423 () (or @t388 @t371 @t398 @t397 @t269 (= @t311 @t315))) % 15.02/15.29 (define @t424 () (forall @t111 @t422)) % 15.02/15.29 (define @t425 () (= @t315 @t311)) % 15.02/15.29 (define @t426 () (or @t388 @t371 @t398 @t397 @t269 @t425)) % 15.02/15.29 (define @t427 () (not @t106)) % 15.02/15.29 (define @t428 () (not @t107)) % 15.02/15.29 (define @t429 () (not @t109)) % 15.02/15.29 (define @t430 () (or @t374 @t429 @t379 @t428 @t427)) % 15.02/15.29 (define @t431 () (not @t110)) % 15.02/15.29 (define @t432 () (= @t265 @t298)) % 15.02/15.29 (define @t433 () (or @t390 @t419 @t371 @t398 @t397 @t432)) % 15.02/15.29 (define @t434 () (@list false false false false false false)) % 15.02/15.29 (define @t435 () (@var "BOUND_VARIABLE_9392" $$unsorted)) % 15.02/15.29 (define @t436 () (@var "BOUND_VARIABLE_9390" $$unsorted)) % 15.02/15.29 (define @t437 () (tptp.k3_tsp_2 @t2 @t436)) % 15.02/15.29 (define @t438 () (= (tptp.k4_tex_4 @t2 @t435) (tptp.k5_pre_topc @t2 @t436 @t437 (tptp.k1_struct_0 @t436 (tptp.k8_funct_2 @t7 (tptp.u1_struct_0 @t436) @t437 @t435))))) % 15.02/15.29 (define @t439 () (not (tptp.m1_subset_1 @t435 @t7))) % 15.02/15.29 (define @t440 () (not (tptp.m2_tsp_1 @t436 @t2))) % 15.02/15.29 (define @t441 () (not (tptp.v2_tsp_2 @t436 @t2))) % 15.02/15.29 (define @t442 () (tptp.v3_struct_0 @t436)) % 15.02/15.29 (define @t443 () (or @t442 @t441 @t440 @t439 @t438)) % 15.02/15.29 (define @t444 () (or @t21 @t206 @t205 @t443)) % 15.02/15.29 (define @t445 () (forall (@list @t2 @t436 @t435) @t444)) % 15.02/15.29 (define @t446 () (@list @t436 @t435)) % 15.02/15.29 (define @t447 () (forall @t446 @t444)) % 15.02/15.29 (define @t448 () (forall @t446 @t443)) % 15.02/15.29 (define @t449 () (@var "BOUND_VARIABLE_9371" $$unsorted)) % 15.02/15.29 (define @t450 () (or @t21 @t206 @t205 @t448)) % 15.02/15.29 (define @t451 () (= (tptp.k4_tex_4 @t2 @t449) (tptp.k5_pre_topc @t2 @t4 @t5 (tptp.k1_struct_0 @t4 (tptp.k8_funct_2 @t7 @t92 @t5 @t449))))) % 15.02/15.29 (define @t452 () (not (tptp.m1_subset_1 @t449 @t7))) % 15.02/15.29 (define @t453 () (or @t13 @t80 @t237 @t452 @t451)) % 15.02/15.29 (define @t454 () (@list @t4 @t449)) % 15.02/15.29 (define @t455 () (forall @t454 @t453)) % 15.02/15.29 (define @t456 () (or @t21 @t206 @t205 @t455)) % 15.02/15.29 (define @t457 () (or @t452 @t451)) % 15.02/15.29 (define @t458 () (or @t13 @t80 @t237 @t457)) % 15.02/15.29 (define @t459 () (forall @t454 @t458)) % 15.02/15.29 (define @t460 () (@list @t449)) % 15.02/15.29 (define @t461 () (forall @t460 @t458)) % 15.02/15.29 (define @t462 () (forall @t460 @t457)) % 15.02/15.29 (define @t463 () (or @t13 @t80 @t237 @t462)) % 15.02/15.29 (define @t464 () (= @t3 @t180)) % 15.02/15.29 (define @t465 () (forall @t9 (or @t253 @t464))) % 15.02/15.29 (define @t466 () (or @t13 @t80 @t237 @t465)) % 15.02/15.29 (define @t467 () (tptp.k5_pre_topc @t225 @t263 @t264 @t312)) % 15.02/15.29 (define @t468 () (= @t262 @t467)) % 15.02/15.29 (define @t469 () (or @t279 @t278 @t276 @t274 @t273 @t271 @t269 @t468)) % 15.02/15.29 (define @t470 () (= @t467 @t313)) % 15.02/15.29 (define @t471 () (or @t390 @t419 @t371 @t398 @t397 @t470)) % 15.02/15.29 (define @t472 () (= @t267 (tptp.k9_relat_1 @t264 @t266))) % 15.02/15.29 (define @t473 () (or @t390 @t419 @t371 @t398 @t397 @t472)) % 15.02/15.29 (define @t474 () (tptp.k1_tarski @t224)) % 15.02/15.29 (define @t475 () (= @t266 @t474)) % 15.02/15.29 (define @t476 () (or @t279 @t390 @t269 @t475)) % 15.02/15.29 (define @t477 () (tptp.k9_relat_1 @t264 @t474)) % 15.02/15.29 (define @t478 () (not @t161)) % 15.02/15.29 (define @t479 () (not @t179)) % 15.02/15.29 (define @t480 () (tptp.r2_hidden @t224 @t260)) % 15.02/15.29 (define @t481 () (or @t269 @t388 @t480)) % 15.02/15.29 (define @t482 () (@list false true false)) % 15.02/15.29 (define @t483 () (= @t7 @t97)) % 15.02/15.29 (define @t484 () (tptp.k2_pre_topc @t225)) % 15.02/15.29 (define @t485 () (= @t260 @t484)) % 15.02/15.29 (define @t486 () (or @t390 @t485)) % 15.02/15.29 (define @t487 () (@var "BOUND_VARIABLE_9463" $$unsorted)) % 15.02/15.29 (define @t488 () (@var "BOUND_VARIABLE_9465" $$unsorted)) % 15.02/15.29 (define @t489 () (and (= @t97 (tptp.k1_relat_1 @t488)) (tptp.r1_tarski (tptp.k2_relat_1 @t488) (tptp.k2_pre_topc @t487)))) % 15.02/15.29 (define @t490 () (tptp.u1_struct_0 @t487)) % 15.02/15.29 (define @t491 () (not (tptp.m2_relset_1 @t488 @t7 @t490))) % 15.02/15.29 (define @t492 () (not (tptp.v1_funct_2 @t488 @t7 @t490))) % 15.02/15.29 (define @t493 () (not (tptp.v1_funct_1 @t488))) % 15.02/15.29 (define @t494 () (not (tptp.l1_struct_0 @t487))) % 15.02/15.29 (define @t495 () (tptp.v3_struct_0 @t487)) % 15.02/15.29 (define @t496 () (or @t495 @t494 @t493 @t492 @t491 @t489)) % 15.02/15.29 (define @t497 () (or @t374 @t496)) % 15.02/15.29 (define @t498 () (forall (@list @t2 @t487 @t488) @t497)) % 15.02/15.29 (define @t499 () (@list @t487 @t488)) % 15.02/15.29 (define @t500 () (forall @t499 @t497)) % 15.02/15.29 (define @t501 () (forall @t499 @t496)) % 15.02/15.29 (define @t502 () (@var "BOUND_VARIABLE_9440" $$unsorted)) % 15.02/15.29 (define @t503 () (or @t374 @t501)) % 15.02/15.29 (define @t504 () (and (= @t97 (tptp.k1_relat_1 @t502)) (tptp.r1_tarski (tptp.k2_relat_1 @t502) @t191))) % 15.02/15.29 (define @t505 () (not (tptp.m2_relset_1 @t502 @t7 @t92))) % 15.02/15.29 (define @t506 () (not (tptp.v1_funct_2 @t502 @t7 @t92))) % 15.02/15.29 (define @t507 () (not (tptp.v1_funct_1 @t502))) % 15.02/15.29 (define @t508 () (or @t13 @t429 @t507 @t506 @t505 @t504)) % 15.02/15.29 (define @t509 () (@list @t4 @t502)) % 15.02/15.29 (define @t510 () (forall @t509 @t508)) % 15.02/15.29 (define @t511 () (or @t507 @t506 @t505 @t504)) % 15.02/15.29 (define @t512 () (or @t13 @t429 @t511)) % 15.02/15.29 (define @t513 () (forall @t509 @t512)) % 15.02/15.29 (define @t514 () (@list @t502)) % 15.02/15.29 (define @t515 () (forall @t514 @t512)) % 15.02/15.29 (define @t516 () (forall @t514 @t511)) % 15.02/15.29 (define @t517 () (or @t13 @t429 @t516)) % 15.02/15.29 (define @t518 () (and (= @t97 @t193) @t192)) % 15.02/15.29 (define @t519 () (not @t195)) % 15.02/15.29 (define @t520 () (or @t379 @t428 @t519 @t518)) % 15.02/15.29 (define @t521 () (forall @t9 @t520)) % 15.02/15.29 (define @t522 () (or @t13 @t429 @t521)) % 15.02/15.29 (define @t523 () (or @t379 @t428 @t519)) % 15.02/15.29 (define @t524 () (= @t484 (tptp.k1_relat_1 @t327))) % 15.02/15.29 (define @t525 () (and @t524 (tptp.r1_tarski (tptp.k2_relat_1 @t327) (tptp.k2_pre_topc @t263)))) % 15.02/15.29 (define @t526 () (not @t347)) % 15.02/15.29 (define @t527 () (not @t348)) % 15.02/15.29 (define @t528 () (or @t390 @t274 @t419 @t527 @t526 @t356 @t525)) % 15.02/15.29 (define @t529 () (tptp.r2_hidden @t224 @t301)) % 15.02/15.29 (define @t530 () (= @t477 @t316)) % 15.02/15.29 (define @t531 () (not @t529)) % 15.02/15.29 (define @t532 () (or @t305 @t371 @t531 @t530)) % 15.02/15.29 (define @t533 () (@list false false false false)) % 15.02/15.29 (define @t534 () (@list true false)) % 15.02/15.29 (define @t535 () (@list @t320 @t322)) % 15.02/15.29 (define @t536 () (and @t432 @t468 @t470 @t321)) % 15.02/15.29 (define @t537 () (tptp.k2_tex_4 @t225 @t224)) % 15.02/15.29 (define @t538 () (tptp.m1_subset_1 @t537 @t283)) % 15.02/15.29 (define @t539 () (or @t276 @t269 @t538)) % 15.02/15.29 (define @t540 () (tptp.r1_tarski @t537 @t260)) % 15.02/15.29 (define @t541 () (= @t538 @t540)) % 15.02/15.29 (define @t542 () (= @t98 @t112)) % 15.02/15.29 (define @t543 () (or @t21 @t206 @t205 @t204 @t542)) % 15.02/15.29 (define @t544 () (or @t279 @t278 @t276 @t269 (= @t537 @t262))) % 15.02/15.29 (define @t545 () (forall @t29 @t543)) % 15.02/15.29 (define @t546 () (= @t262 @t537)) % 15.02/15.29 (define @t547 () (or @t279 @t278 @t276 @t269 @t546)) % 15.02/15.29 (define @t548 () (not @t308)) % 15.02/15.29 (define @t549 () (not @t142)) % 15.02/15.29 (define @t550 () (and @t142 @t308 @t285)) % 15.02/15.29 (assume @p1 @t27) % 15.02/15.29 (assume @p2 (forall @t29 (=> @t28 (not (tptp.r2_hidden @t4 @t2))))) % 15.02/15.29 (assume @p3 (forall @t25 (=> @t32 (forall @t17 (=> @t31 @t30))))) % 15.02/15.29 (assume @p4 (forall @t25 (=> @t19 (=> (and @t22 @t20 @t37 @t40) (and @t22 @t39 @t20 @t37 @t35 (not @t33)))))) % 15.02/15.29 (assume @p5 (forall @t25 (=> @t23 (forall @t17 (=> @t45 (=> @t44 (and @t42 (not @t41)))))))) % 15.02/15.29 (assume @p6 (forall @t25 (=> @t47 (forall @t17 (=> @t31 (and @t30 @t46)))))) % 15.02/15.29 (assume @p7 (forall @t25 (=> (and @t22 @t20 @t40 @t19) (forall @t17 (=> @t45 (=> @t14 @t49)))))) % 15.02/15.29 (assume @p8 (forall @t25 (=> @t51 (forall @t17 (=> @t31 (and @t30 @t46 @t50)))))) % 15.02/15.29 (assume @p9 (forall @t25 (=> @t55 (forall @t17 (=> @t45 (=> (and @t14 @t53) (and @t14 (not (tptp.v3_realset2 @t4)) @t52))))))) % 15.02/15.29 (assume @p10 (forall @t25 (=> @t57 (forall @t17 (=> @t31 (and @t30 @t46 @t56 @t50)))))) % 15.02/15.29 (assume @p11 (forall @t25 (=> @t55 (forall @t17 (=> @t45 (=> @t49 (and @t14 @t43))))))) % 15.02/15.29 (assume @p12 (forall @t25 (=> @t58 (forall @t17 (=> @t31 (and @t30 (tptp.v4_ordinal2 @t4) @t46 @t56 @t50)))))) % 15.02/15.29 (assume @p13 (forall @t25 (=> @t59 (and @t32 @t47 @t51 @t57 @t58)))) % 15.02/15.29 (assume @p14 (forall @t25 (=> @t32 (forall @t17 (=> @t62 @t60))))) % 15.02/15.29 (assume @p15 (forall @t25 (=> @t47 (forall @t17 (=> @t62 (and @t60 @t63)))))) % 15.02/15.29 (assume @p16 (forall @t25 (=> @t51 (forall @t17 (=> @t62 (and @t60 @t63 @t64)))))) % 15.02/15.29 (assume @p17 (forall @t25 (=> @t57 (forall @t17 (=> @t62 (and @t60 @t63 @t64 @t65)))))) % 15.02/15.29 (assume @p18 (forall @t25 (=> @t58 @t57))) % 15.02/15.29 (assume @p19 (forall @t25 (=> @t66 (forall @t17 (=> @t45 @t42))))) % 15.02/15.29 (assume @p20 @t71) % 15.02/15.29 (assume @p21 (forall @t25 (=> @t66 (forall @t17 (=> @t76 (=> @t74 (and @t73 @t72))))))) % 15.02/15.29 (assume @p22 (forall @t25 (=> @t19 (=> (and @t22 @t38) (and @t22 @t40))))) % 15.02/15.29 (assume @p23 (forall @t25 (=> @t77 (forall @t17 (=> @t45 (=> (and @t14 @t12) @t49)))))) % 15.02/15.29 (assume @p24 (forall @t25 (=> @t58 (forall @t17 (=> @t62 (and @t60 @t63 @t64 @t65 @t78)))))) % 15.02/15.29 (assume @p25 (forall @t25 (=> @t57 @t51))) % 15.02/15.29 (assume @p26 (forall @t25 (=> @t19 (forall @t17 (=> @t76 (=> @t74 @t79)))))) % 15.02/15.29 (assume @p27 (forall @t25 (=> @t19 (=> (and @t22 @t54) (and @t22 @t39))))) % 15.02/15.29 (assume @p28 (forall @t25 (=> @t77 (forall @t17 (=> @t45 (=> (and @t14 @t52) (and @t14 @t80))))))) % 15.02/15.29 (assume @p29 (forall @t25 (=> @t51 @t47))) % 15.02/15.29 (assume @p30 (forall @t25 (=> @t66 (forall @t17 (=> @t76 (=> @t74 @t81)))))) % 15.02/15.29 (assume @p31 (forall @t25 (=> @t19 (=> (and @t22 @t20 @t36) (and @t22 @t20 @t40))))) % 15.02/15.29 (assume @p32 (forall @t25 (=> @t23 (forall @t17 (=> @t45 (=> @t12 (and @t42 @t82))))))) % 15.02/15.29 (assume @p33 (forall @t25 (=> @t47 @t32))) % 15.02/15.29 (assume @p34 (forall @t25 (=> @t66 (forall @t17 (=> @t76 (=> @t81 @t79)))))) % 15.02/15.29 (assume @p35 (forall @t25 (=> @t19 (=> (and @t22 @t20 @t54) (and @t22 @t39 @t20 @t37))))) % 15.02/15.29 (assume @p36 (forall @t25 (=> @t23 (forall @t17 (=> @t45 (=> (not @t82) @t83)))))) % 15.02/15.29 (assume @p37 (forall @t25 (=> @t66 (forall @t17 (=> @t76 (=> (and @t72 @t79) (and @t79 @t81))))))) % 15.02/15.29 (assume @p38 (forall @t25 (=> @t19 (=> (and @t22 @t39 @t20 @t34) (and @t22 @t39 @t20 @t54))))) % 15.02/15.29 (assume @p39 (forall @t25 (=> @t23 (forall @t17 (=> @t45 (=> (and @t85 @t12) @t84)))))) % 15.02/15.29 (assume @p40 (forall @t25 (=> @t66 (forall @t17 (=> @t76 (=> (and @t73 @t81) (and @t74 @t73 @t72 @t60 @t63 @t64 @t65 @t78 @t79 @t81))))))) % 15.02/15.29 (assume @p41 (forall @t25 (=> @t19 (=> (and @t22 @t20 @t34 @t40) (and @t22 @t38 @t20 @t36 @t34 @t33 @t87 @t86 @t40))))) % 15.02/15.29 (assume @p42 (forall @t25 (=> @t23 (forall @t17 (=> @t45 (=> (and @t85 @t43) @t83)))))) % 15.02/15.29 (assume @p43 (forall @t25 (=> @t19 (=> (and @t22 @t39 @t20 @t40) (and @t22 @t39 @t20 @t35))))) % 15.02/15.29 (assume @p44 (forall @t25 (=> @t23 (forall @t17 (=> @t45 (=> @t44 (and @t42 (not @t85)))))))) % 15.02/15.29 (assume @p45 (forall @t25 (=> @t19 (=> (and @t22 @t20 @t33 @t40) (and @t22 @t20 @t36 @t33 @t87 @t86 @t40))))) % 15.02/15.29 (assume @p46 (forall @t25 (=> @t23 (forall @t17 (=> @t45 (=> (and @t41 @t12) @t84)))))) % 15.02/15.29 (assume @p47 (forall @t25 (=> @t19 (=> (and @t22 @t20 @t37 @t33) (and @t22 @t39 @t20 @t37 @t54))))) % 15.02/15.29 (assume @p48 (forall @t25 (=> @t23 (forall @t17 (=> @t45 (=> (and @t43 @t41) @t83)))))) % 15.02/15.29 (assume @p49 true) % 15.02/15.29 (assume @p50 (forall @t29 (=> @t91 (tptp.m1_subset_1 @t88 @t75)))) % 15.02/15.29 (assume @p51 @t96) % 15.02/15.29 (assume @p52 (forall @t25 (=> @t90 (tptp.m1_subset_1 @t97 @t75)))) % 15.02/15.29 (assume @p53 @t101) % 15.02/15.29 (assume @p54 @t103) % 15.02/15.29 (assume @p55 (forall @t111 (=> @t110 (tptp.m1_subset_1 @t105 (tptp.k1_zfmisc_1 @t92))))) % 15.02/15.29 (assume @p56 @t115) % 15.02/15.29 (assume @p57 (forall @t111 (=> @t110 (tptp.m1_subset_1 @t116 @t75)))) % 15.02/15.29 (assume @p58 @t124) % 15.02/15.29 (assume @p59 @t125) % 15.02/15.29 (assume @p60 (forall @t25 (=> @t19 (forall @t17 (=> @t45 @t126))))) % 15.02/15.29 (assume @p61 @t128) % 15.02/15.29 (assume @p62 @t131) % 15.02/15.29 (assume @p63 (exists @t25 @t19)) % 15.02/15.29 (assume @p64 (exists @t25 @t90)) % 15.02/15.29 (assume @p65 (forall @t25 (=> @t19 (exists @t17 @t45)))) % 15.02/15.29 (assume @p66 (forall @t29 (exists @t9 @t120))) % 15.02/15.29 (assume @p67 (forall @t25 (exists @t17 @t31))) % 15.02/15.29 (assume @p68 (forall @t29 (exists @t9 @t127))) % 15.02/15.29 (assume @p69 (forall @t25 (=> @t19 (exists @t17 @t11)))) % 15.02/15.29 (assume @p70 (forall @t25 (=> (tptp.v1_int_1 @t2) (and @t136 @t135 @t134 @t133)))) % 15.02/15.29 (assume @p71 (forall @t25 (=> (tptp.v4_ordinal2 @t2) (and @t136 @t135 @t134 @t133 (tptp.v5_membered @t132))))) % 15.02/15.29 (assume @p72 @t139) % 15.02/15.29 (assume @p73 (forall @t25 (not (tptp.v1_xboole_0 @t61)))) % 15.02/15.29 (assume @p74 (forall @t25 (=> @t138 (not (tptp.v1_xboole_0 @t97))))) % 15.02/15.29 (assume @p75 (forall @t25 (not (tptp.v1_xboole_0 @t132)))) % 15.02/15.29 (assume @p76 (forall @t29 (=> (and @t122 @t140) (not (tptp.v1_xboole_0 @t68))))) % 15.02/15.29 (assume @p77 (forall @t25 (=> @t66 @t141))) % 15.02/15.29 (assume @p78 (and @t142 (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))) % 15.02/15.29 (assume @p79 (forall @t25 (=> (tptp.v1_xcmplx_0 @t2) @t136))) % 15.02/15.29 (assume @p80 (forall @t25 (=> (tptp.v1_xreal_0 @t2) (and @t136 @t135)))) % 15.02/15.29 (assume @p81 (forall @t25 (=> @t66 (and (tptp.v3_pre_topc @t97 @t2) @t141)))) % 15.02/15.29 (assume @p82 (forall @t25 (=> (tptp.v1_rat_1 @t2) (and @t136 @t135 @t134)))) % 15.02/15.29 (assume @p83 (forall @t25 (=> @t19 (tptp.v1_tops_1 @t97 @t2)))) % 15.02/15.29 (assume @p84 (exists @t25 (and @t122 @t32 @t47 @t51 @t57 @t58))) % 15.02/15.29 (assume @p85 (forall @t25 (=> @t122 (exists @t17 (and @t62 @t140))))) % 15.02/15.29 (assume @p86 (forall @t25 (=> @t66 (exists @t17 (and @t76 @t73))))) % 15.02/15.29 (assume @p87 (forall @t25 (exists @t17 (and @t62 @t74)))) % 15.02/15.29 (assume @p88 (forall @t25 (=> @t66 (exists @t17 (and @t76 @t73 @t72))))) % 15.02/15.29 (assume @p89 (exists @t25 (and @t90 @t22))) % 15.02/15.29 (assume @p90 (forall @t25 (=> @t23 (exists @t17 (and @t76 @t140 @t73 @t72))))) % 15.02/15.29 (assume @p91 (forall @t25 (=> @t19 (exists @t17 (and @t76 @t74 @t60 @t63 @t64 @t65 @t78 @t79))))) % 15.02/15.29 (assume @p92 (forall @t25 (=> @t138 (exists @t17 (and @t76 @t140))))) % 15.02/15.29 (assume @p93 (forall @t25 (=> @t66 (exists @t17 (and @t76 @t74 @t73 @t72 @t60 @t63 @t64 @t65 @t78 @t79 @t81))))) % 15.02/15.29 (assume @p94 (forall @t25 (=> @t66 (exists @t17 (and @t76 @t72))))) % 15.02/15.29 (assume @p95 (forall @t25 (=> @t23 (exists @t17 (and @t76 @t140 @t72))))) % 15.02/15.29 (assume @p96 @t145) % 15.02/15.29 (assume @p97 @t147) % 15.02/15.29 (assume @p98 @t149) % 15.02/15.29 (assume @p99 @t151) % 15.02/15.29 (assume @p100 @t153) % 15.02/15.29 (assume @p101 @t155) % 15.02/15.29 (assume @p102 @t156) % 15.02/15.29 (assume @p103 @t158) % 15.02/15.29 (assume @p104 (forall @t29 (tptp.r1_tarski @t2 @t2))) % 15.02/15.29 (assume @p105 @t166) % 15.02/15.29 (assume @p106 @t168) % 15.02/15.29 (assume @p107 @t170) % 15.02/15.29 (assume @p108 @t178) % 15.02/15.29 (assume @p109 (forall @t29 (=> @t28 @t179))) % 15.02/15.29 (assume @p110 @t186) % 15.02/15.29 (assume @p111 @t188) % 15.02/15.29 (assume @p112 @t189) % 15.02/15.29 (assume @p113 (forall @t29 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t4)) (tptp.r1_tarski @t2 @t4)))) % 15.02/15.29 (assume @p114 (forall @t70 (=> (and @t28 @t190) (tptp.m1_subset_1 @t2 @t1)))) % 15.02/15.29 (assume @p115 @t203) % 15.02/15.29 (assume @p116 (forall @t70 (not (and @t28 @t190 (tptp.v1_xboole_0 @t1))))) % 15.02/15.29 (assume @p117 (forall @t25 (=> @t59 @t173))) % 15.02/15.29 (assume @p118 (forall @t29 (not (and @t28 @t74)))) % 15.02/15.29 (assume @p119 (forall @t29 (not (and @t59 (not (= @t2 @t4)) @t74)))) % 15.02/15.29 (step @p120 :rule and_elim :premises (@p78) :args (0)) % 15.02/15.29 (step @p121 :rule aci_norm :args ((= (or @t207 @t113) (or @t21 @t206 @t205 @t204 @t113)))) % 15.02/15.29 (step @p122 :rule refl :args (@t113)) % 15.02/15.29 (step @p123 :rule refl :args (@t204)) % 15.02/15.29 (step @p124 :rule refl :args (@t205)) % 15.02/15.29 (step @p125 :rule refl :args (@t206)) % 15.02/15.29 (step @p126 :rule bool-double-not-elim :args (@t21)) % 15.02/15.29 (step @p127 :rule nary_cong :premises (@p126 @p125 @p124 @p123) :args (@t209)) % 15.02/15.29 (step @p128 :rule aci_norm :args ((= (or @t208 (or @t206 @t210)) @t209))) % 15.02/15.29 (step @p129 :rule trans :premises (@p128 @p127)) % 15.02/15.29 (step @p130 :rule bool-and-de-morgan :args (@t19 @t89 true)) % 15.02/15.29 (step @p131 :rule nary_cong :premises (@p125 @p130) :args ((or @t206 @t211))) % 15.02/15.29 (step @p132 :rule bool-and-de-morgan :args (@t20 @t19 (and @t89))) % 15.02/15.29 (step @p133 :rule trans :premises (@p132 @p131)) % 15.02/15.29 (step @p134 :rule refl :args (@t208)) % 15.02/15.29 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t208 (not (and @t20 @t19 @t89))))) % 15.02/15.29 (step @p136 :rule bool-and-de-morgan :args (@t22 @t20 (and @t19 @t89))) % 15.02/15.29 (step @p137 :rule trans :premises (@p136 @p135)) % 15.02/15.29 (step @p138 :rule trans :premises (@p137 @p129)) % 15.02/15.29 (step @p139 :rule nary_cong :premises (@p138 @p122) :args ((or @t212 @t113))) % 15.02/15.29 (step @p140 :rule trans :premises (@p139 @p121)) % 15.02/15.29 (step @p141 :rule bool-impl-elim :args (@t114 @t113)) % 15.02/15.29 (step @p142 :rule trans :premises (@p141 @p140)) % 15.02/15.29 (step @p143 :rule cong :premises (@p142) :args (@t115)) % 15.02/15.29 (step @p144 :rule eq_resolve :premises (@p56 @p143)) % 15.02/15.29 (step @p145 :rule instantiate :premises (@p144) :args (@t226)) % 15.02/15.29 (step @p146 :rule aci_norm :args ((= @t228 @t221))) % 15.02/15.29 (step @p147 :rule cong :premises (@p146) :args (@t229)) % 15.02/15.29 (step @p148 :rule quant-merge-prenex :args ((= (forall @t25 @t231) @t229))) % 15.02/15.29 (step @p149 :rule alpha_equiv :args (@t232 (@list @t214 @t213) (@list @t4 @t233))) % 15.02/15.29 (step @p150 :rule refl :args (@t21)) % 15.02/15.29 (step @p151 :rule nary_cong :premises (@p150 @p125 @p124 @p149) :args (@t234)) % 15.02/15.29 (step @p152 :rule quant-miniscope-or :args ((= @t231 @t234))) % 15.02/15.29 (step @p153 :rule trans :premises (@p152 @p151)) % 15.02/15.29 (step @p154 :rule symm :premises (@p153)) % 15.02/15.29 (step @p155 :rule cong :premises (@p154) :args ((forall @t25 @t241))) % 15.02/15.29 (step @p156 :rule trans :premises (@p155 @p148)) % 15.02/15.29 (step @p157 :rule trans :premises (@p156 @p147)) % 15.02/15.29 (step @p158 :rule aci_norm :args ((= (or @t242 @t240) @t241))) % 15.02/15.29 (step @p159 :rule refl :args (@t240)) % 15.02/15.29 (step @p160 :rule nary_cong :premises (@p126 @p125 @p124) :args (@t243)) % 15.02/15.29 (step @p161 :rule aci_norm :args ((= (or @t208 (or @t206 @t205)) @t243))) % 15.02/15.29 (step @p162 :rule trans :premises (@p161 @p160)) % 15.02/15.29 (step @p163 :rule bool-and-de-morgan :args (@t20 @t19 true)) % 15.02/15.29 (step @p164 :rule nary_cong :premises (@p134 @p163) :args ((or @t208 (not @t66)))) % 15.02/15.29 (step @p165 :rule bool-and-de-morgan :args (@t22 @t20 (and @t19))) % 15.02/15.29 (step @p166 :rule trans :premises (@p165 @p164)) % 15.02/15.29 (step @p167 :rule trans :premises (@p166 @p162)) % 15.02/15.29 (step @p168 :rule nary_cong :premises (@p167 @p159) :args ((or @t244 @t240))) % 15.02/15.29 (step @p169 :rule trans :premises (@p168 @p158)) % 15.02/15.29 (step @p170 :rule bool-impl-elim :args (@t23 @t240)) % 15.02/15.29 (step @p171 :rule trans :premises (@p170 @p169)) % 15.02/15.29 (step @p172 :rule cong :premises (@p171) :args ((forall @t25 (=> @t23 @t240)))) % 15.02/15.29 (step @p173 :rule trans :premises (@p172 @p157)) % 15.02/15.29 (step @p174 :rule aci_norm :args ((= @t246 @t238))) % 15.02/15.29 (step @p175 :rule cong :premises (@p174) :args (@t247)) % 15.02/15.29 (step @p176 :rule quant-merge-prenex :args ((= (forall @t17 @t249) @t247))) % 15.02/15.29 (step @p177 :rule alpha_equiv :args (@t250 (@list @t233) @t251)) % 15.02/15.29 (step @p178 :rule refl :args (@t237)) % 15.02/15.29 (step @p179 :rule refl :args (@t80)) % 15.02/15.29 (step @p180 :rule refl :args (@t13)) % 15.02/15.29 (step @p181 :rule nary_cong :premises (@p180 @p179 @p178 @p177) :args (@t252)) % 15.02/15.29 (step @p182 :rule quant-miniscope-or :args ((= @t249 @t252))) % 15.02/15.29 (step @p183 :rule trans :premises (@p182 @p181)) % 15.02/15.29 (step @p184 :rule symm :premises (@p183)) % 15.02/15.29 (step @p185 :rule cong :premises (@p184) :args ((forall @t17 @t255))) % 15.02/15.29 (step @p186 :rule trans :premises (@p185 @p176)) % 15.02/15.29 (step @p187 :rule trans :premises (@p186 @p175)) % 15.02/15.29 (step @p188 :rule aci_norm :args ((= (or @t256 @t254) @t255))) % 15.02/15.29 (step @p189 :rule refl :args (@t254)) % 15.02/15.29 (step @p190 :rule bool-double-not-elim :args (@t13)) % 15.02/15.29 (step @p191 :rule nary_cong :premises (@p190 @p179 @p178) :args (@t258)) % 15.02/15.29 (step @p192 :rule aci_norm :args ((= (or @t257 (or @t80 @t237)) @t258))) % 15.02/15.29 (step @p193 :rule trans :premises (@p192 @p191)) % 15.02/15.29 (step @p194 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 15.02/15.29 (step @p195 :rule refl :args (@t257)) % 15.02/15.29 (step @p196 :rule nary_cong :premises (@p195 @p194) :args ((or @t257 (not (and @t12 @t11))))) % 15.02/15.29 (step @p197 :rule bool-and-de-morgan :args (@t14 @t12 (and @t11))) % 15.02/15.29 (step @p198 :rule trans :premises (@p197 @p196)) % 15.02/15.29 (step @p199 :rule trans :premises (@p198 @p193)) % 15.02/15.29 (step @p200 :rule nary_cong :premises (@p199 @p189) :args ((or @t259 @t254))) % 15.02/15.29 (step @p201 :rule trans :premises (@p200 @p188)) % 15.02/15.29 (step @p202 :rule bool-impl-elim :args (@t15 @t254)) % 15.02/15.29 (step @p203 :rule trans :premises (@p202 @p201)) % 15.02/15.29 (step @p204 :rule cong :premises (@p203) :args ((forall @t17 (=> @t15 @t254)))) % 15.02/15.29 (step @p205 :rule trans :premises (@p204 @p187)) % 15.02/15.29 (step @p206 :rule bool-impl-elim :args (@t8 @t6)) % 15.02/15.29 (step @p207 :rule cong :premises (@p206) :args (@t10)) % 15.02/15.29 (step @p208 :rule refl :args (@t15)) % 15.02/15.29 (step @p209 :rule cong :premises (@p208 @p207) :args (@t16)) % 15.02/15.29 (step @p210 :rule cong :premises (@p209) :args (@t18)) % 15.02/15.29 (step @p211 :rule trans :premises (@p210 @p205)) % 15.02/15.29 (step @p212 :rule refl :args (@t23)) % 15.02/15.29 (step @p213 :rule cong :premises (@p212 @p211) :args (@t24)) % 15.02/15.29 (step @p214 :rule cong :premises (@p213) :args (@t26)) % 15.02/15.29 (step @p215 :rule trans :premises (@p214 @p173)) % 15.02/15.29 (step @p216 :rule cong :premises (@p215) :args (@t27)) % 15.02/15.29 (step @p217 :rule eq_resolve :premises (@p1 @p216)) % 15.02/15.29 (step @p218 :rule skolemize :premises (@p217)) % 15.02/15.29 (step @p219 :rule bool-double-not-elim :args (@t261)) % 15.02/15.29 (step @p220 :rule refl :args (@t280)) % 15.02/15.29 (step @p221 :rule nary_cong :premises (@p220 @p219) :args ((or @t280 (not @t269)))) % 15.02/15.29 (step @p222 :rule cnf_or_neg :args (@t280 6)) % 15.02/15.29 (step @p223 :rule eq_resolve :premises (@p222 @p221)) % 15.02/15.29 (step @p224 :rule reordering :premises (@p223) :args ((or @t261 @t280))) % 15.02/15.29 (step @p225 :rule chain_m_resolution :premises (@p224 @p218) :args (@t261 @t281 @t282)) % 15.02/15.29 (step @p226 :rule bool-double-not-elim :args (@t275)) % 15.02/15.29 (step @p227 :rule nary_cong :premises (@p220 @p226) :args ((or @t280 (not @t276)))) % 15.02/15.29 (step @p228 :rule cnf_or_neg :args (@t280 2)) % 15.02/15.29 (step @p229 :rule eq_resolve :premises (@p228 @p227)) % 15.02/15.29 (step @p230 :rule reordering :premises (@p229) :args ((or @t275 @t280))) % 15.02/15.29 (step @p231 :rule chain_m_resolution :premises (@p230 @p218) :args (@t275 @t281 @t282)) % 15.02/15.29 (step @p232 :rule bool-double-not-elim :args (@t277)) % 15.02/15.29 (step @p233 :rule nary_cong :premises (@p220 @p232) :args ((or @t280 (not @t278)))) % 15.02/15.29 (step @p234 :rule cnf_or_neg :args (@t280 1)) % 15.02/15.29 (step @p235 :rule eq_resolve :premises (@p234 @p233)) % 15.02/15.29 (step @p236 :rule reordering :premises (@p235) :args ((or @t277 @t280))) % 15.02/15.29 (step @p237 :rule chain_m_resolution :premises (@p236 @p218) :args (@t277 @t281 @t282)) % 15.02/15.29 (step @p238 :rule cnf_or_neg :args (@t280 0)) % 15.02/15.29 (step @p239 :rule chain_m_resolution :premises (@p238 @p218) :args ((not @t279) @t281 @t282)) % 15.02/15.29 (step @p240 :rule cnf_or_pos :args (@t287)) % 15.02/15.29 (step @p241 :rule reordering :premises (@p240) :args ((or @t279 @t278 @t276 @t269 @t286 (not @t287)))) % 15.02/15.29 (step @p242 :rule chain_m_resolution :premises (@p241 @p239 @p237 @p231 @p225 @p145) :args (@t286 @t288 (@list @t279 @t277 @t275 @t261 @t287))) % 15.02/15.29 (step @p243 :rule cnf_and_pos :args (@t286 0)) % 15.02/15.29 (step @p244 :rule reordering :premises (@p243) :args ((or @t285 (not @t286)))) % 15.02/15.29 (step @p245 :rule chain_m_resolution :premises (@p244 @p242) :args (@t285 @t289 (@list @t286))) % 15.02/15.29 (step @p246 :rule aci_norm :args ((= (or @t293 (or @t173 @t292 @t291)) @t294))) % 15.02/15.29 (step @p247 :rule refl :args (@t291)) % 15.02/15.29 (step @p248 :rule refl :args (@t292)) % 15.02/15.29 (step @p249 :rule bool-double-not-elim :args (@t173)) % 15.02/15.29 (step @p250 :rule nary_cong :premises (@p249 @p248 @p247) :args (@t296)) % 15.02/15.29 (step @p251 :rule aci_norm :args ((= (or @t295 (or @t292 @t291)) @t296))) % 15.02/15.29 (step @p252 :rule trans :premises (@p251 @p250)) % 15.02/15.29 (step @p253 :rule bool-and-de-morgan :args (@t172 @t290 true)) % 15.02/15.29 (step @p254 :rule refl :args (@t295)) % 15.02/15.29 (step @p255 :rule nary_cong :premises (@p254 @p253) :args ((or @t295 (not (and @t172 @t290))))) % 15.02/15.29 (step @p256 :rule bool-and-de-morgan :args (@t174 @t172 (and @t290))) % 15.02/15.29 (step @p257 :rule trans :premises (@p256 @p255)) % 15.02/15.29 (step @p258 :rule trans :premises (@p257 @p252)) % 15.02/15.29 (step @p259 :rule refl :args (@t293)) % 15.02/15.29 (step @p260 :rule nary_cong :premises (@p259 @p258) :args ((or @t293 @t297))) % 15.02/15.29 (step @p261 :rule trans :premises (@p260 @p246)) % 15.02/15.29 (step @p262 :rule bool-impl-elim :args (@t164 @t297)) % 15.02/15.29 (step @p263 :rule trans :premises (@p262 @p261)) % 15.02/15.29 (step @p264 :rule cong :premises (@p263) :args ((forall @t29 (=> @t164 @t297)))) % 15.02/15.29 (step @p265 :rule eq-symm :args (@t171 tptp.k1_xboole_0)) % 15.02/15.29 (step @p266 :rule refl :args (@t172)) % 15.02/15.29 (step @p267 :rule refl :args (@t174)) % 15.02/15.29 (step @p268 :rule nary_cong :premises (@p267 @p266 @p265) :args (@t175)) % 15.02/15.29 (step @p269 :rule cong :premises (@p268) :args (@t176)) % 15.02/15.29 (step @p270 :rule refl :args (@t164)) % 15.02/15.29 (step @p271 :rule cong :premises (@p270 @p269) :args (@t177)) % 15.02/15.29 (step @p272 :rule cong :premises (@p271) :args (@t178)) % 15.02/15.29 (step @p273 :rule trans :premises (@p272 @p264)) % 15.02/15.29 (step @p274 :rule eq_resolve :premises (@p108 @p273)) % 15.02/15.29 (step @p275 :rule refl :args (@t300)) % 15.02/15.29 (step @p276 :rule refl :args (@t303)) % 15.02/15.29 (step @p277 :rule eq-symm :args (@t262 tptp.k1_xboole_0)) % 15.02/15.29 (step @p278 :rule refl :args (@t305)) % 15.02/15.29 (step @p279 :rule nary_cong :premises (@p278 @p277 @p276 @p275) :args (@t306)) % 15.02/15.29 (step @p280 :rule refl :args (@t307)) % 15.02/15.29 (step @p281 :rule cong :premises (@p280 @p279) :args ((=> @t307 @t306))) % 15.02/15.29 (assume-push @p944 @t307) % 15.02/15.29 (step @p283 :rule instantiate :premises (@p274) :args ((@list @t262 @t264))) % 15.02/15.29 (step-pop @p945 :rule scope :premises (@p283)) % 15.02/15.29 (step @p284 :rule process_scope :premises (@p945) :args (@t306)) % 15.02/15.29 (step @p286 :rule eq_resolve :premises (@p284 @p281)) % 15.02/15.29 (step @p287 :rule implies_elim :premises (@p286)) % 15.02/15.29 (step @p288 :rule chain_m_resolution :premises (@p287 @p274) :args (@t309 @t289 (@list @t307))) % 15.02/15.29 (step @p289 :rule eq-symm :args (@t314 @t316)) % 15.02/15.29 (step @p290 :rule eq-symm :args (@t314 tptp.k1_xboole_0)) % 15.02/15.29 (step @p291 :rule nary_cong :premises (@p290 @p289) :args (@t317)) % 15.02/15.29 (step @p292 :rule refl :args (@t318)) % 15.02/15.29 (step @p293 :rule cong :premises (@p292 @p291) :args (@t319)) % 15.02/15.29 (step @p294 :rule refl :args (@t189)) % 15.02/15.29 (step @p295 :rule cong :premises (@p294 @p293) :args ((=> @t189 @t319))) % 15.02/15.29 (assume-push @p946 @t189) % 15.02/15.29 (step @p297 :rule instantiate :premises (@p112) :args ((@list @t314 @t315))) % 15.02/15.29 (step-pop @p947 :rule scope :premises (@p297)) % 15.02/15.29 (step @p298 :rule process_scope :premises (@p947) :args (@t319)) % 15.02/15.29 (step @p300 :rule eq_resolve :premises (@p298 @p295)) % 15.02/15.29 (step @p301 :rule implies_elim :premises (@p300)) % 15.02/15.29 (step @p302 :rule chain_m_resolution :premises (@p301 @p112) :args (@t323 @t289 (@list @t189))) % 15.02/15.29 (step @p303 :rule aci_norm :args ((= (or @t325 @t169) (or @t293 @t324 @t169)))) % 15.02/15.29 (step @p304 :rule refl :args (@t169)) % 15.02/15.29 (step @p305 :rule bool-and-de-morgan :args (@t164 @t163 true)) % 15.02/15.29 (step @p306 :rule nary_cong :premises (@p305 @p304) :args ((or @t326 @t169))) % 15.02/15.29 (step @p307 :rule trans :premises (@p306 @p303)) % 15.02/15.29 (step @p308 :rule bool-impl-elim :args (@t165 @t169)) % 15.02/15.29 (step @p309 :rule trans :premises (@p308 @p307)) % 15.02/15.29 (step @p310 :rule cong :premises (@p309) :args (@t170)) % 15.02/15.29 (step @p311 :rule eq_resolve :premises (@p107 @p310)) % 15.02/15.29 (step @p312 :rule instantiate :premises (@p311) :args ((@list @t312 @t264))) % 15.02/15.29 (step @p313 :rule bool-impl-elim :args (@t69 @t67)) % 15.02/15.29 (step @p314 :rule cong :premises (@p313) :args (@t71)) % 15.02/15.29 (step @p315 :rule eq_resolve :premises (@p20 @p314)) % 15.02/15.29 (step @p316 :rule instantiate :premises (@p315) :args (@t328)) % 15.02/15.29 (step @p317 :rule bool-impl-elim :args (@t127 @t69)) % 15.02/15.29 (step @p318 :rule cong :premises (@p317) :args (@t128)) % 15.02/15.29 (step @p319 :rule eq_resolve :premises (@p61 @p318)) % 15.02/15.29 (step @p320 :rule instantiate :premises (@p319) :args (@t328)) % 15.02/15.29 (step @p321 :rule aci_norm :args ((= (or @t330 @t94) (or @t21 @t206 @t205 @t13 @t80 @t329 @t94)))) % 15.02/15.29 (step @p322 :rule refl :args (@t94)) % 15.02/15.29 (step @p323 :rule refl :args (@t329)) % 15.02/15.29 (step @p324 :rule nary_cong :premises (@p126 @p125 @p124 @p190 @p179 @p323) :args (@t331)) % 15.02/15.29 (step @p325 :rule aci_norm :args ((= (or @t208 (or @t206 (or @t205 (or @t257 (or @t80 @t329))))) @t331))) % 15.02/15.29 (step @p326 :rule trans :premises (@p325 @p324)) % 15.02/15.29 (step @p327 :rule bool-and-de-morgan :args (@t12 @t45 true)) % 15.02/15.29 (step @p328 :rule nary_cong :premises (@p195 @p327) :args ((or @t257 (not (and @t12 @t45))))) % 15.02/15.29 (step @p329 :rule bool-and-de-morgan :args (@t14 @t12 (and @t45))) % 15.02/15.29 (step @p330 :rule trans :premises (@p329 @p328)) % 15.02/15.29 (step @p331 :rule nary_cong :premises (@p124 @p330) :args ((or @t205 (not (and @t14 @t12 @t45))))) % 15.02/15.29 (step @p332 :rule bool-and-de-morgan :args (@t19 @t14 (and @t12 @t45))) % 15.02/15.29 (step @p333 :rule trans :premises (@p332 @p331)) % 15.02/15.29 (step @p334 :rule nary_cong :premises (@p125 @p333) :args ((or @t206 (not (and @t19 @t14 @t12 @t45))))) % 15.02/15.29 (step @p335 :rule bool-and-de-morgan :args (@t20 @t19 (and @t14 @t12 @t45))) % 15.02/15.29 (step @p336 :rule trans :premises (@p335 @p334)) % 15.02/15.29 (step @p337 :rule nary_cong :premises (@p134 @p336) :args ((or @t208 (not (and @t20 @t19 @t14 @t12 @t45))))) % 15.02/15.29 (step @p338 :rule bool-and-de-morgan :args (@t22 @t20 (and @t19 @t14 @t12 @t45))) % 15.02/15.29 (step @p339 :rule trans :premises (@p338 @p337)) % 15.02/15.29 (step @p340 :rule trans :premises (@p339 @p326)) % 15.02/15.29 (step @p341 :rule nary_cong :premises (@p340 @p322) :args ((or @t332 @t94))) % 15.02/15.29 (step @p342 :rule trans :premises (@p341 @p321)) % 15.02/15.29 (step @p343 :rule bool-impl-elim :args (@t95 @t94)) % 15.02/15.29 (step @p344 :rule trans :premises (@p343 @p342)) % 15.02/15.29 (step @p345 :rule cong :premises (@p344) :args (@t96)) % 15.02/15.29 (step @p346 :rule eq_resolve :premises (@p51 @p345)) % 15.02/15.29 (step @p347 :rule instantiate :premises (@p346) :args (@t333)) % 15.02/15.29 (step @p348 :rule quant-merge-prenex :args ((= (forall @t25 @t338) (forall (@list @t2 @t334) @t336)))) % 15.02/15.29 (step @p349 :rule alpha_equiv :args (@t339 (@list @t334) @t340)) % 15.02/15.29 (step @p350 :rule nary_cong :premises (@p124 @p349) :args (@t341)) % 15.02/15.29 (step @p351 :rule quant-miniscope-or :args ((= @t338 @t341))) % 15.02/15.29 (step @p352 :rule trans :premises (@p351 @p350)) % 15.02/15.29 (step @p353 :rule symm :premises (@p352)) % 15.02/15.29 (step @p354 :rule cong :premises (@p353) :args ((forall @t25 (or @t205 @t157)))) % 15.02/15.29 (step @p355 :rule trans :premises (@p354 @p348)) % 15.02/15.29 (step @p356 :rule bool-impl-elim :args (@t19 @t157)) % 15.02/15.29 (step @p357 :rule cong :premises (@p356) :args (@t158)) % 15.02/15.29 (step @p358 :rule trans :premises (@p357 @p355)) % 15.02/15.29 (step @p359 :rule eq_resolve :premises (@p103 @p358)) % 15.02/15.29 (step @p360 :rule instantiate :premises 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:premises (@p371 @p369 @p363) :args (@t342 @t345 (@list @t270 @t343))) % 15.02/15.29 (step @p373 :rule bool-double-not-elim :args (@t272)) % 15.02/15.29 (step @p374 :rule nary_cong :premises (@p220 @p373) :args ((or @t280 (not @t273)))) % 15.02/15.29 (step @p375 :rule cnf_or_neg :args (@t280 4)) % 15.02/15.29 (step @p376 :rule eq_resolve :premises (@p375 @p374)) % 15.02/15.29 (step @p377 :rule reordering :premises (@p376) :args ((or @t272 @t280))) % 15.02/15.29 (step @p378 :rule chain_m_resolution :premises (@p377 @p218) :args (@t272 @t281 @t282)) % 15.02/15.29 (step @p379 :rule cnf_or_neg :args (@t280 3)) % 15.02/15.29 (step @p380 :rule chain_m_resolution :premises (@p379 @p218) :args ((not @t274) @t281 @t282)) % 15.02/15.29 (step @p381 :rule cnf_or_pos :args (@t351)) % 15.02/15.29 (step @p382 :rule reordering :premises (@p381) :args ((or @t279 @t278 @t276 @t274 @t273 @t350 @t349 (not @t351)))) % 15.02/15.29 (step @p383 :rule chain_m_resolution :premises (@p382 @p239 @p237 @p231 @p380 @p378 @p372 @p347) :args (@t349 @t352 (@list @t279 @t277 @t275 @t274 @t272 @t342 @t351))) % 15.02/15.29 (step @p384 :rule cnf_and_pos :args (@t349 3)) % 15.02/15.29 (step @p385 :rule reordering :premises (@p384) :args ((or @t346 @t353))) % 15.02/15.29 (step @p386 :rule chain_m_resolution :premises (@p385 @p383) :args (@t346 @t289 @t354)) % 15.02/15.29 (step @p387 :rule cnf_or_pos :args (@t357)) % 15.02/15.29 (step @p388 :rule reordering :premises (@p387) :args ((or @t356 @t355 (not @t357)))) % 15.02/15.29 (step @p389 :rule chain_m_resolution :premises (@p388 @p386 @p320) :args (@t355 @t345 (@list @t346 @t357))) % 15.02/15.29 (step @p390 :rule cnf_or_pos :args (@t360)) % 15.02/15.29 (step @p391 :rule reordering :premises (@p390) :args ((or @t359 @t358 (not @t360)))) % 15.02/15.29 (step @p392 :rule chain_m_resolution :premises (@p391 @p389 @p316) :args (@t358 @t345 (@list @t355 @t360))) % 15.02/15.29 (step @p393 :rule true_intro :premises (@p392)) % 15.02/15.29 (step @p394 :rule aci_norm :args ((= (or @t330 @t146) (or @t21 @t206 @t205 @t13 @t80 @t329 @t146)))) % 15.02/15.29 (step @p395 :rule refl :args (@t146)) % 15.02/15.29 (step @p396 :rule nary_cong :premises (@p340 @p395) :args ((or @t332 @t146))) % 15.02/15.29 (step @p397 :rule trans :premises (@p396 @p394)) % 15.02/15.29 (step @p398 :rule bool-impl-elim :args (@t95 @t146)) % 15.02/15.29 (step @p399 :rule trans :premises (@p398 @p397)) % 15.02/15.29 (step @p400 :rule cong :premises (@p399) :args (@t147)) % 15.02/15.29 (step @p401 :rule eq_resolve :premises (@p97 @p400)) % 15.02/15.29 (step @p402 :rule instantiate :premises (@p401) :args (@t333)) % 15.02/15.29 (step @p403 :rule cnf_or_pos :args (@t362)) % 15.02/15.29 (step @p404 :rule reordering :premises (@p403) :args ((or @t279 @t278 @t276 @t274 @t273 @t350 @t361 (not @t362)))) % 15.02/15.29 (step @p405 :rule chain_m_resolution :premises (@p404 @p239 @p237 @p231 @p380 @p378 @p372 @p402) :args (@t361 @t352 (@list @t279 @t277 @t275 @t274 @t272 @t342 @t362))) % 15.02/15.29 (step @p406 :rule cong :premises (@p405) :args (@t304)) % 15.02/15.29 (step @p407 :rule trans :premises (@p406 @p393)) % 15.02/15.29 (step @p408 :rule true_elim :premises (@p407)) % 15.02/15.29 (step @p409 :rule aci_norm :args ((= (or @t330 @t102) (or @t21 @t206 @t205 @t13 @t80 @t329 @t102)))) % 15.02/15.29 (step @p410 :rule refl :args (@t102)) % 15.02/15.29 (step @p411 :rule nary_cong :premises (@p340 @p410) :args ((or @t332 @t102))) % 15.02/15.29 (step @p412 :rule trans :premises (@p411 @p409)) % 15.02/15.29 (step @p413 :rule bool-impl-elim :args (@t95 @t102)) % 15.02/15.29 (step @p414 :rule trans :premises (@p413 @p412)) % 15.02/15.29 (step @p415 :rule cong :premises (@p414) :args (@t103)) % 15.02/15.29 (step @p416 :rule eq_resolve :premises (@p54 @p415)) % 15.02/15.29 (step @p417 :rule instantiate :premises (@p416) :args (@t333)) % 15.02/15.29 (step @p418 :rule cnf_or_pos :args (@t367)) % 15.02/15.29 (step @p419 :rule reordering :premises (@p418) :args ((or @t279 @t278 @t276 @t274 @t273 @t350 @t366 (not @t367)))) % 15.02/15.29 (step @p420 :rule chain_m_resolution :premises (@p419 @p239 @p237 @p231 @p380 @p378 @p372 @p417) :args (@t366 @t352 (@list @t279 @t277 @t275 @t274 @t272 @t342 @t367))) % 15.02/15.29 (step @p421 :rule cnf_and_pos :args (@t366 0)) % 15.02/15.29 (step @p422 :rule reordering :premises (@p421) :args ((or @t365 @t368))) % 15.02/15.29 (step @p423 :rule chain_m_resolution :premises (@p422 @p420) :args (@t365 @t289 @t369)) % 15.02/15.29 (step @p424 :rule cnf_or_pos :args (@t372)) % 15.02/15.29 (step @p425 :rule reordering :premises (@p424) :args ((or @t371 @t305 @t370 (not @t372)))) % 15.02/15.29 (step @p426 :rule chain_m_resolution :premises (@p425 @p423 @p408 @p312) :args (@t370 @t373 (@list @t365 @t304 @t372))) % 15.02/15.29 (step @p427 :rule true_intro :premises (@p426)) % 15.02/15.29 (step @p428 :rule aci_norm :args ((= (or (or @t21 @t374 @t204) @t144) (or @t21 @t374 @t204 @t144)))) % 15.02/15.29 (step @p429 :rule refl :args (@t144)) % 15.02/15.29 (step @p430 :rule refl :args (@t374)) % 15.02/15.29 (step @p431 :rule nary_cong :premises (@p126 @p430 @p123) :args (@t375)) % 15.02/15.29 (step @p432 :rule aci_norm :args ((= (or @t208 (or @t374 @t204)) @t375))) % 15.02/15.29 (step @p433 :rule trans :premises (@p432 @p431)) % 15.02/15.29 (step @p434 :rule bool-and-de-morgan :args (@t90 @t89 true)) % 15.02/15.29 (step @p435 :rule nary_cong :premises (@p134 @p434) :args ((or @t208 (not (and @t90 @t89))))) % 15.02/15.29 (step @p436 :rule bool-and-de-morgan :args (@t22 @t90 (and @t89))) % 15.02/15.29 (step @p437 :rule trans :premises (@p436 @p435)) % 15.02/15.29 (step @p438 :rule trans :premises (@p437 @p433)) % 15.02/15.29 (step @p439 :rule nary_cong :premises (@p438 @p429) :args ((or (not @t91) @t144))) % 15.02/15.29 (step @p440 :rule trans :premises (@p439 @p428)) % 15.02/15.29 (step @p441 :rule bool-impl-elim :args (@t91 @t144)) % 15.02/15.29 (step @p442 :rule trans :premises (@p441 @p440)) % 15.02/15.29 (step @p443 :rule cong :premises (@p442) :args (@t145)) % 15.02/15.29 (step @p444 :rule eq_resolve :premises (@p96 @p443)) % 15.02/15.29 (step @p445 :rule instantiate :premises (@p444) :args ((@list @t263 @t311))) % 15.02/15.29 (step @p446 :rule aci_norm :args ((= (or @t380 @t118) (or @t59 @t379 @t378 @t377 @t376 @t118)))) % 15.02/15.29 (step @p447 :rule refl :args (@t118)) % 15.02/15.29 (step @p448 :rule refl :args (@t376)) % 15.02/15.29 (step @p449 :rule refl :args (@t377)) % 15.02/15.29 (step @p450 :rule refl :args (@t378)) % 15.02/15.29 (step @p451 :rule refl :args (@t379)) % 15.02/15.29 (step @p452 :rule bool-double-not-elim :args (@t59)) % 15.02/15.29 (step @p453 :rule nary_cong :premises (@p452 @p451 @p450 @p449 @p448) :args (@t382)) % 15.02/15.29 (step @p454 :rule aci_norm :args ((= (or @t381 (or @t379 (or @t378 (or @t377 @t376)))) @t382))) % 15.02/15.29 (step @p455 :rule trans :premises (@p454 @p453)) % 15.02/15.29 (step @p456 :rule bool-and-de-morgan :args (@t120 @t119 true)) % 15.02/15.29 (step @p457 :rule nary_cong :premises (@p450 @p456) :args ((or @t378 (not (and @t120 @t119))))) % 15.02/15.29 (step @p458 :rule bool-and-de-morgan :args (@t121 @t120 (and @t119))) % 15.02/15.29 (step @p459 :rule trans :premises (@p458 @p457)) % 15.02/15.29 (step @p460 :rule nary_cong :premises (@p451 @p459) :args ((or @t379 (not (and @t121 @t120 @t119))))) % 15.02/15.29 (step @p461 :rule bool-and-de-morgan :args (@t108 @t121 (and @t120 @t119))) % 15.02/15.29 (step @p462 :rule trans :premises (@p461 @p460)) % 15.02/15.29 (step @p463 :rule refl :args (@t381)) % 15.02/15.29 (step @p464 :rule nary_cong :premises (@p463 @p462) :args ((or @t381 (not (and @t108 @t121 @t120 @t119))))) % 15.02/15.29 (step @p465 :rule bool-and-de-morgan :args (@t122 @t108 (and @t121 @t120 @t119))) % 15.02/15.29 (step @p466 :rule trans :premises (@p465 @p464)) % 15.02/15.29 (step @p467 :rule trans :premises (@p466 @p455)) % 15.02/15.29 (step @p468 :rule nary_cong :premises (@p467 @p447) :args ((or @t383 @t118))) % 15.02/15.29 (step @p469 :rule trans :premises (@p468 @p446)) % 15.02/15.29 (step @p470 :rule bool-impl-elim :args (@t123 @t118)) % 15.02/15.29 (step @p471 :rule trans :premises (@p470 @p469)) % 15.02/15.29 (step @p472 :rule cong :premises (@p471) :args (@t124)) % 15.02/15.29 (step @p473 :rule eq_resolve :premises (@p58 @p472)) % 15.02/15.29 (step @p474 :rule instantiate :premises (@p473) :args (@t384)) % 15.02/15.29 (step @p475 :rule aci_norm :args ((= (or (or @t21 @t374) @t137) (or @t21 @t374 @t137)))) % 15.02/15.29 (step @p476 :rule refl :args (@t137)) % 15.02/15.29 (step @p477 :rule nary_cong :premises (@p126 @p430) :args ((or @t208 @t374))) % 15.02/15.29 (step @p478 :rule bool-and-de-morgan :args (@t22 @t90 true)) % 15.02/15.29 (step @p479 :rule trans :premises (@p478 @p477)) % 15.02/15.29 (step @p480 :rule nary_cong :premises (@p479 @p476) :args ((or (not @t138) @t137))) % 15.02/15.29 (step @p481 :rule trans :premises (@p480 @p475)) % 15.02/15.29 (step @p482 :rule bool-impl-elim :args (@t138 @t137)) % 15.02/15.29 (step @p483 :rule trans :premises (@p482 @p481)) % 15.02/15.29 (step @p484 :rule cong :premises (@p483) :args (@t139)) % 15.02/15.29 (step @p485 :rule eq_resolve :premises (@p72 @p484)) % 15.02/15.29 (step @p486 :rule instantiate :premises (@p485) :args (@t385)) % 15.02/15.29 (step @p487 :rule bool-impl-elim :args (@t19 @t90)) % 15.02/15.29 (step @p488 :rule cong :premises (@p487) :args (@t125)) % 15.02/15.29 (step @p489 :rule eq_resolve :premises (@p59 @p488)) % 15.02/15.29 (step @p490 :rule instantiate :premises (@p489) :args (@t385)) % 15.02/15.29 (step @p491 :rule cnf_or_pos :args (@t387)) % 15.02/15.29 (step @p492 :rule reordering :premises (@p491) :args ((or @t276 @t386 (not @t387)))) % 15.02/15.29 (step @p493 :rule chain_m_resolution :premises (@p492 @p231 @p490) :args (@t386 @t345 (@list @t275 @t387))) % 15.02/15.29 (step @p494 :rule cnf_or_pos :args (@t391)) % 15.02/15.29 (step @p495 :rule reordering :premises (@p494) :args ((or @t279 @t390 @t389 (not @t391)))) % 15.02/15.29 (step @p496 :rule chain_m_resolution :premises (@p495 @p239 @p493 @p486) :args (@t389 (@list true false false) (@list @t279 @t386 @t391))) % 15.02/15.29 (step @p497 :rule eq-symm :args (@t127 @t120)) % 15.02/15.29 (step @p498 :rule cong :premises (@p497) :args (@t156)) % 15.02/15.29 (step @p499 :rule eq_resolve :premises (@p102 @p498)) % 15.02/15.29 (step @p500 :rule eq-symm :args (@t392 @t363)) % 15.02/15.29 (step @p501 :rule refl :args (@t393)) % 15.02/15.29 (step @p502 :rule cong :premises (@p501 @p500) :args ((=> @t393 @t394))) % 15.02/15.29 (assume-push @p948 @t393) % 15.02/15.29 (step @p504 :rule instantiate :premises (@p499) :args ((@list @t260 @t310 @t264))) % 15.02/15.29 (step-pop @p949 :rule scope :premises (@p504)) % 15.02/15.29 (step @p505 :rule process_scope :premises (@p949) :args (@t394)) % 15.02/15.29 (step @p507 :rule eq_resolve :premises (@p505 @p502)) % 15.02/15.29 (step @p508 :rule implies_elim :premises (@p507)) % 15.02/15.29 (step @p509 :rule chain_m_resolution :premises (@p508 @p499) :args (@t395 @t289 (@list @t393))) % 15.02/15.29 (step @p510 :rule cnf_and_pos :args (@t366 3)) % 15.02/15.29 (step @p511 :rule reordering :premises (@p510) :args ((or @t363 @t368))) % 15.02/15.29 (step @p512 :rule chain_m_resolution :premises (@p511 @p420) :args (@t363 @t289 @t369)) % 15.02/15.29 (step @p513 :rule cnf_equiv_pos1 :args (@t395)) % 15.02/15.29 (step @p514 :rule reordering :premises (@p513) :args ((or @t392 (not @t363) (not @t395)))) % 15.02/15.29 (step @p515 :rule chain_m_resolution :premises (@p514 @p512 @p509) :args (@t392 @t345 (@list @t363 @t395))) % 15.02/15.29 (step @p516 :rule cnf_and_pos :args (@t366 1)) % 15.02/15.29 (step @p517 :rule reordering :premises (@p516) :args ((or @t364 @t368))) % 15.02/15.29 (step @p518 :rule chain_m_resolution :premises (@p517 @p420) :args (@t364 @t289 @t369)) % 15.02/15.29 (step @p519 :rule cnf_or_pos :args (@t399)) % 15.02/15.29 (step @p520 :rule reordering :premises (@p519) :args ((or @t269 @t371 @t398 @t397 @t388 @t396 (not @t399)))) % 15.02/15.29 (step @p521 :rule chain_m_resolution :premises (@p520 @p225 @p423 @p518 @p515 @p496 @p474) :args (@t396 @t400 (@list @t261 @t365 @t364 @t392 @t388 @t399))) % 15.02/15.29 (step @p522 :rule instantiate :premises (@p489) :args ((@list @t263))) % 15.02/15.29 (step @p523 :rule aci_norm :args ((= @t405 (or @t205 @t403 @t402)))) % 15.02/15.29 (step @p524 :rule cong :premises (@p523) :args (@t406)) % 15.02/15.29 (step @p525 :rule quant-merge-prenex :args ((= (forall @t25 @t408) @t406))) % 15.02/15.29 (step @p526 :rule alpha_equiv :args (@t409 (@list @t401) @t340)) % 15.02/15.29 (step @p527 :rule nary_cong :premises (@p124 @p526) :args (@t410)) % 15.02/15.29 (step @p528 :rule quant-miniscope-or :args ((= @t408 @t410))) % 15.02/15.29 (step @p529 :rule trans :premises (@p528 @p527)) % 15.02/15.29 (step @p530 :rule symm :premises (@p529)) % 15.02/15.29 (step @p531 :rule cong :premises (@p530) :args ((forall @t25 (or @t205 @t411)))) % 15.02/15.29 (step @p532 :rule trans :premises (@p531 @p525)) % 15.02/15.29 (step @p533 :rule trans :premises (@p532 @p524)) % 15.02/15.29 (step @p534 :rule bool-impl-elim :args (@t19 @t411)) % 15.02/15.29 (step @p535 :rule cong :premises (@p534) :args ((forall @t25 (=> @t19 @t411)))) % 15.02/15.29 (step @p536 :rule trans :premises (@p535 @p533)) % 15.02/15.29 (step @p537 :rule bool-impl-elim :args (@t11 @t126)) % 15.02/15.29 (step @p538 :rule cong :premises (@p537) :args (@t129)) % 15.02/15.29 (step @p539 :rule refl :args (@t19)) % 15.02/15.29 (step @p540 :rule cong :premises (@p539 @p538) :args (@t130)) % 15.02/15.29 (step @p541 :rule cong :premises (@p540) :args (@t131)) % 15.02/15.29 (step @p542 :rule trans :premises (@p541 @p536)) % 15.02/15.29 (step @p543 :rule eq_resolve :premises (@p62 @p542)) % 15.02/15.29 (step @p544 :rule instantiate :premises (@p543) :args (@t333)) % 15.02/15.29 (step @p545 :rule cnf_or_pos :args (@t413)) % 15.02/15.29 (step @p546 :rule reordering :premises (@p545) :args ((or @t276 @t271 @t412 (not @t413)))) % 15.02/15.29 (step @p547 :rule chain_m_resolution :premises (@p546 @p231 @p369 @p544) :args (@t412 @t373 (@list @t275 @t270 @t413))) % 15.02/15.29 (step @p548 :rule cnf_or_pos :args (@t416)) % 15.02/15.29 (step @p549 :rule reordering :premises (@p548) :args ((or @t415 @t414 (not @t416)))) % 15.02/15.29 (step @p550 :rule chain_m_resolution :premises (@p549 @p547 @p522) :args (@t414 @t345 (@list @t412 @t416))) % 15.02/15.29 (step @p551 :rule cnf_or_pos :args (@t420)) % 15.02/15.29 (step @p552 :rule reordering :premises (@p551) :args ((or @t274 @t419 @t418 @t417 (not @t420)))) % 15.02/15.29 (step @p553 :rule chain_m_resolution :premises (@p552 @p380 @p550 @p521 @p445) :args (@t417 @t421 (@list @t274 @t414 @t396 @t420))) % 15.02/15.29 (step @p554 :rule symm :premises (@p553)) % 15.02/15.29 (step @p555 :rule aci_norm :args ((= (or @t380 @t154) @t422))) % 15.02/15.29 (step @p556 :rule refl :args (@t154)) % 15.02/15.29 (step @p557 :rule nary_cong :premises (@p467 @p556) :args ((or @t383 @t154))) % 15.02/15.29 (step @p558 :rule trans :premises (@p557 @p555)) % 15.02/15.29 (step @p559 :rule bool-impl-elim :args (@t123 @t154)) % 15.02/15.29 (step @p560 :rule trans :premises (@p559 @p558)) % 15.02/15.29 (step @p561 :rule cong :premises (@p560) :args (@t155)) % 15.02/15.29 (step @p562 :rule eq_resolve :premises (@p101 @p561)) % 15.02/15.29 (step @p563 :rule eq-symm :args (@t311 @t315)) % 15.02/15.29 (step @p564 :rule refl :args (@t269)) % 15.02/15.29 (step @p565 :rule refl :args (@t397)) % 15.02/15.29 (step @p566 :rule refl :args (@t398)) % 15.02/15.29 (step @p567 :rule refl :args (@t371)) % 15.02/15.29 (step @p568 :rule refl :args (@t388)) % 15.02/15.29 (step @p569 :rule nary_cong :premises (@p568 @p567 @p566 @p565 @p564 @p563) :args (@t423)) % 15.02/15.29 (step @p570 :rule refl :args (@t424)) % 15.02/15.29 (step @p571 :rule cong :premises (@p570 @p569) :args ((=> @t424 @t423))) % 15.02/15.29 (assume-push @p950 @t424) % 15.02/15.29 (step @p573 :rule instantiate :premises (@p562) :args (@t384)) % 15.02/15.29 (step-pop @p951 :rule scope :premises (@p573)) % 15.02/15.29 (step @p574 :rule process_scope :premises (@p951) :args (@t423)) % 15.02/15.29 (step @p576 :rule eq_resolve :premises (@p574 @p571)) % 15.02/15.29 (step @p577 :rule implies_elim :premises (@p576)) % 15.02/15.29 (step @p578 :rule chain_m_resolution :premises (@p577 @p562) :args (@t426 @t289 (@list @t424))) % 15.02/15.29 (step @p579 :rule cnf_or_pos :args (@t426)) % 15.02/15.29 (step @p580 :rule reordering :premises (@p579) :args ((or @t269 @t371 @t398 @t397 @t388 @t425 (not @t426)))) % 15.02/15.29 (step @p581 :rule chain_m_resolution :premises (@p580 @p225 @p423 @p518 @p515 @p496 @p578) :args (@t425 @t400 (@list @t261 @t365 @t364 @t392 @t388 @t426))) % 15.02/15.29 (step @p582 :rule cong :premises (@p581) :args (@t316)) % 15.02/15.29 (step @p583 :rule trans :premises (@p582 @p554)) % 15.02/15.29 (step @p584 :rule refl :args (@t314)) % 15.02/15.29 (step @p585 :rule cong :premises (@p584 @p583) :args (@t318)) % 15.02/15.29 (step @p586 :rule trans :premises (@p585 @p427)) % 15.02/15.29 (step @p587 :rule true_elim :premises (@p586)) % 15.02/15.29 (step @p588 :rule cnf_equiv_pos1 :args (@t323)) % 15.02/15.29 (step @p589 :rule reordering :premises (@p588) :args ((or @t322 (not @t318) (not @t323)))) % 15.02/15.29 (step @p590 :rule chain_m_resolution :premises (@p589 @p587 @p302) :args (@t322 @t345 (@list @t318 @t323))) % 15.02/15.29 (step @p591 :rule cnf_or_neg :args (@t280 7)) % 15.02/15.29 (step @p592 :rule chain_m_resolution :premises (@p591 @p218) :args ((not @t268) @t281 @t282)) % 15.02/15.29 (step @p593 :rule false_intro :premises (@p592)) % 15.02/15.29 (step @p594 :rule aci_norm :args ((= (or @t430 @t148) (or @t374 @t429 @t379 @t428 @t427 @t148)))) % 15.02/15.29 (step @p595 :rule refl :args (@t148)) % 15.02/15.29 (step @p596 :rule aci_norm :args ((= (or @t374 (or @t429 (or @t379 (or @t428 @t427)))) @t430))) % 15.02/15.29 (step @p597 :rule bool-and-de-morgan :args (@t107 @t106 true)) % 15.02/15.29 (step @p598 :rule nary_cong :premises (@p451 @p597) :args ((or @t379 (not (and @t107 @t106))))) % 15.02/15.29 (step @p599 :rule bool-and-de-morgan :args (@t108 @t107 (and @t106))) % 15.02/15.29 (step @p600 :rule trans :premises (@p599 @p598)) % 15.02/15.29 (step @p601 :rule refl :args (@t429)) % 15.02/15.29 (step @p602 :rule nary_cong :premises (@p601 @p600) :args ((or @t429 (not (and @t108 @t107 @t106))))) % 15.02/15.29 (step @p603 :rule bool-and-de-morgan :args (@t109 @t108 (and @t107 @t106))) % 15.02/15.29 (step @p604 :rule trans :premises (@p603 @p602)) % 15.02/15.29 (step @p605 :rule nary_cong :premises (@p430 @p604) :args ((or @t374 (not (and @t109 @t108 @t107 @t106))))) % 15.02/15.29 (step @p606 :rule bool-and-de-morgan :args (@t90 @t109 (and @t108 @t107 @t106))) % 15.02/15.29 (step @p607 :rule trans :premises (@p606 @p605)) % 15.02/15.29 (step @p608 :rule trans :premises (@p607 @p596)) % 15.02/15.29 (step @p609 :rule nary_cong :premises (@p608 @p595) :args ((or @t431 @t148))) % 15.02/15.29 (step @p610 :rule trans :premises (@p609 @p594)) % 15.02/15.29 (step @p611 :rule bool-impl-elim :args (@t110 @t148)) % 15.02/15.29 (step @p612 :rule trans :premises (@p611 @p610)) % 15.02/15.29 (step @p613 :rule cong :premises (@p612) :args (@t149)) % 15.02/15.29 (step @p614 :rule eq_resolve :premises (@p98 @p613)) % 15.02/15.29 (step @p615 :rule instantiate :premises (@p614) :args ((@list @t225 @t263 @t264 @t262))) % 15.02/15.29 (step @p616 :rule cnf_or_pos :args (@t433)) % 15.02/15.29 (step @p617 :rule reordering :premises (@p616) :args ((or @t390 @t419 @t371 @t398 @t397 @t432 (not @t433)))) % 15.02/15.29 (step @p618 :rule chain_m_resolution :premises (@p617 @p493 @p550 @p423 @p518 @p515 @p615) :args (@t432 @t434 (@list @t386 @t414 @t365 @t364 @t392 @t433))) % 15.02/15.29 (step @p619 :rule symm :premises (@p618)) % 15.02/15.29 (step @p620 :rule aci_norm :args ((= @t444 (or @t21 @t206 @t205 @t442 @t441 @t440 @t439 @t438)))) % 15.02/15.29 (step @p621 :rule cong :premises (@p620) :args (@t445)) % 15.02/15.29 (step @p622 :rule quant-merge-prenex :args ((= (forall @t25 @t447) @t445))) % 15.02/15.29 (step @p623 :rule alpha_equiv :args (@t448 (@list @t436 @t435) (@list @t4 @t449))) % 15.02/15.29 (step @p624 :rule nary_cong :premises (@p150 @p125 @p124 @p623) :args (@t450)) % 15.02/15.29 (step @p625 :rule quant-miniscope-or :args ((= @t447 @t450))) % 15.02/15.29 (step @p626 :rule trans :premises (@p625 @p624)) % 15.02/15.29 (step @p627 :rule symm :premises (@p626)) % 15.02/15.29 (step @p628 :rule cong :premises (@p627) :args ((forall @t25 @t456))) % 15.02/15.29 (step @p629 :rule trans :premises (@p628 @p622)) % 15.02/15.29 (step @p630 :rule trans :premises (@p629 @p621)) % 15.02/15.29 (step @p631 :rule aci_norm :args ((= (or @t242 @t455) @t456))) % 15.02/15.29 (step @p632 :rule refl :args (@t455)) % 15.02/15.29 (step @p633 :rule nary_cong :premises (@p167 @p632) :args ((or @t244 @t455))) % 15.02/15.29 (step @p634 :rule trans :premises (@p633 @p631)) % 15.02/15.29 (step @p635 :rule bool-impl-elim :args (@t23 @t455)) % 15.02/15.29 (step @p636 :rule trans :premises (@p635 @p634)) % 15.02/15.29 (step @p637 :rule cong :premises (@p636) :args ((forall @t25 (=> @t23 @t455)))) % 15.02/15.29 (step @p638 :rule trans :premises (@p637 @p630)) % 15.02/15.29 (step @p639 :rule aci_norm :args ((= @t458 @t453))) % 15.02/15.29 (step @p640 :rule cong :premises (@p639) :args (@t459)) % 15.02/15.29 (step @p641 :rule quant-merge-prenex :args ((= (forall @t17 @t461) @t459))) % 15.02/15.29 (step @p642 :rule alpha_equiv :args (@t462 (@list @t449) @t251)) % 15.02/15.29 (step @p643 :rule nary_cong :premises (@p180 @p179 @p178 @p642) :args (@t463)) % 15.02/15.29 (step @p644 :rule quant-miniscope-or :args ((= @t461 @t463))) % 15.02/15.29 (step @p645 :rule trans :premises (@p644 @p643)) % 15.02/15.29 (step @p646 :rule symm :premises (@p645)) % 15.02/15.29 (step @p647 :rule cong :premises (@p646) :args ((forall @t17 @t466))) % 15.02/15.29 (step @p648 :rule trans :premises (@p647 @p641)) % 15.02/15.29 (step @p649 :rule trans :premises (@p648 @p640)) % 15.02/15.29 (step @p650 :rule aci_norm :args ((= (or @t256 @t465) @t466))) % 15.02/15.29 (step @p651 :rule refl :args (@t465)) % 15.02/15.29 (step @p652 :rule nary_cong :premises (@p199 @p651) :args ((or @t259 @t465))) % 15.02/15.29 (step @p653 :rule trans :premises (@p652 @p650)) % 15.02/15.29 (step @p654 :rule bool-impl-elim :args (@t15 @t465)) % 15.02/15.29 (step @p655 :rule trans :premises (@p654 @p653)) % 15.02/15.29 (step @p656 :rule cong :premises (@p655) :args ((forall @t17 (=> @t15 @t465)))) % 15.02/15.29 (step @p657 :rule trans :premises (@p656 @p649)) % 15.02/15.29 (step @p658 :rule bool-impl-elim :args (@t8 @t464)) % 15.02/15.29 (step @p659 :rule cong :premises (@p658) :args ((forall @t9 (=> @t8 @t464)))) % 15.02/15.29 (step @p660 :rule eq-symm :args (@t180 @t3)) % 15.02/15.29 (step @p661 :rule refl :args (@t8)) % 15.02/15.29 (step @p662 :rule cong :premises (@p661 @p660) :args (@t181)) % 15.02/15.29 (step @p663 :rule cong :premises (@p662) :args (@t182)) % 15.02/15.29 (step @p664 :rule trans :premises (@p663 @p659)) % 15.02/15.29 (step @p665 :rule cong :premises (@p208 @p664) :args (@t183)) % 15.02/15.29 (step @p666 :rule cong :premises (@p665) :args (@t184)) % 15.02/15.29 (step @p667 :rule trans :premises (@p666 @p657)) % 15.02/15.29 (step @p668 :rule cong :premises (@p212 @p667) :args (@t185)) % 15.02/15.29 (step @p669 :rule cong :premises (@p668) :args (@t186)) % 15.02/15.29 (step @p670 :rule trans :premises (@p669 @p638)) % 15.02/15.29 (step @p671 :rule eq_resolve :premises (@p110 @p670)) % 15.02/15.29 (step @p672 :rule instantiate :premises (@p671) :args ((@list @t225 @t263 @t224))) % 15.02/15.29 (step @p673 :rule cnf_or_pos :args (@t469)) % 15.02/15.29 (step @p674 :rule reordering :premises (@p673) :args ((or @t279 @t278 @t276 @t274 @t273 @t271 @t269 @t468 (not @t469)))) % 15.02/15.29 (step @p675 :rule chain_m_resolution :premises (@p674 @p239 @p237 @p231 @p380 @p378 @p369 @p225 @p672) :args (@t468 (@list true false false true false false false false) (@list @t279 @t277 @t275 @t274 @t272 @t270 @t261 @t469))) % 15.02/15.29 (step @p676 :rule symm :premises (@p675)) % 15.02/15.29 (step @p677 :rule aci_norm :args ((= (or @t430 @t152) (or @t374 @t429 @t379 @t428 @t427 @t152)))) % 15.02/15.29 (step @p678 :rule refl :args (@t152)) % 15.02/15.29 (step @p679 :rule nary_cong :premises (@p608 @p678) :args ((or @t431 @t152))) % 15.02/15.29 (step @p680 :rule trans :premises (@p679 @p677)) % 15.02/15.29 (step @p681 :rule bool-impl-elim :args (@t110 @t152)) % 15.02/15.29 (step @p682 :rule trans :premises (@p681 @p680)) % 15.02/15.29 (step @p683 :rule cong :premises (@p682) :args (@t153)) % 15.02/15.29 (step @p684 :rule eq_resolve :premises (@p100 @p683)) % 15.02/15.29 (step @p685 :rule instantiate :premises (@p684) :args ((@list @t225 @t263 @t264 @t312))) % 15.02/15.29 (step @p686 :rule cnf_or_pos :args (@t471)) % 15.02/15.29 (step @p687 :rule reordering :premises (@p686) :args ((or @t390 @t419 @t371 @t398 @t397 @t470 (not @t471)))) % 15.02/15.29 (step @p688 :rule chain_m_resolution :premises (@p687 @p493 @p550 @p423 @p518 @p515 @p685) :args (@t470 @t434 (@list @t386 @t414 @t365 @t364 @t392 @t471))) % 15.02/15.29 (step @p689 :rule symm :premises (@p688)) % 15.02/15.29 (step @p690 :rule trans :premises (@p689 @p676)) % 15.02/15.29 (step @p691 :rule refl :args (@t264)) % 15.02/15.29 (step @p692 :rule cong :premises (@p691 @p690) :args (@t314)) % 15.02/15.29 (step @p693 :rule trans :premises (@p692 @p619)) % 15.02/15.29 (step @p694 :rule instantiate :premises (@p614) :args ((@list @t225 @t263 @t264 @t266))) % 15.02/15.29 (step @p695 :rule cnf_or_pos :args (@t473)) % 15.02/15.29 (step @p696 :rule reordering :premises (@p695) :args ((or @t390 @t419 @t371 @t398 @t397 @t472 (not @t473)))) % 15.02/15.29 (step @p697 :rule chain_m_resolution :premises (@p696 @p493 @p550 @p423 @p518 @p515 @p694) :args (@t472 @t434 (@list @t386 @t414 @t365 @t364 @t392 @t473))) % 15.02/15.29 (step @p698 :rule symm :premises (@p697)) % 15.02/15.29 (step @p699 :rule instantiate :premises (@p444) :args (@t226)) % 15.02/15.29 (step @p700 :rule cnf_or_pos :args (@t476)) % 15.02/15.29 (step @p701 :rule reordering :premises (@p700) :args ((or @t279 @t269 @t390 @t475 (not @t476)))) % 15.02/15.29 (step @p702 :rule chain_m_resolution :premises (@p701 @p239 @p225 @p493 @p699) :args (@t475 @t421 (@list @t279 @t261 @t386 @t476))) % 15.02/15.29 (step @p703 :rule symm :premises (@p702)) % 15.02/15.29 (step @p704 :rule cong :premises (@p691 @p703) :args (@t477)) % 15.02/15.29 (step @p705 :rule aci_norm :args ((= (or @t325 (or @t478 @t159)) (or @t293 @t324 @t478 @t159)))) % 15.02/15.29 (step @p706 :rule bool-impl-elim :args (@t161 @t159)) % 15.02/15.29 (step @p707 :rule nary_cong :premises (@p305 @p706) :args ((or @t326 @t162))) % 15.02/15.29 (step @p708 :rule trans :premises (@p707 @p705)) % 15.02/15.29 (step @p709 :rule bool-impl-elim :args (@t165 @t162)) % 15.02/15.29 (step @p710 :rule trans :premises (@p709 @p708)) % 15.02/15.29 (step @p711 :rule cong :premises (@p710) :args (@t166)) % 15.02/15.29 (step @p712 :rule eq_resolve :premises (@p105 @p711)) % 15.02/15.29 (step @p713 :rule instantiate :premises (@p712) :args ((@list @t224 @t264))) % 15.02/15.29 (step @p714 :rule aci_norm :args ((= (or @t479 @t187) (or @t479 @t74 @t28)))) % 15.02/15.29 (step @p715 :rule bool-impl-elim :args (@t179 @t187)) % 15.02/15.29 (step @p716 :rule trans :premises (@p715 @p714)) % 15.02/15.29 (step @p717 :rule cong :premises (@p716) :args (@t188)) % 15.02/15.29 (step @p718 :rule eq_resolve :premises (@p111 @p717)) % 15.02/15.29 (step @p719 :rule instantiate :premises (@p718) :args ((@list @t224 @t260))) % 15.02/15.29 (step @p720 :rule cnf_or_pos :args (@t481)) % 15.02/15.29 (step @p721 :rule reordering :premises (@p720) :args ((or @t269 @t388 @t480 (not @t481)))) % 15.02/15.29 (step @p722 :rule chain_m_resolution :premises (@p721 @p225 @p496 @p719) :args (@t480 @t482 (@list @t261 @t388 @t481))) % 15.02/15.29 (step @p723 :rule true_intro :premises (@p722)) % 15.02/15.29 (step @p724 :rule bool-impl-elim :args (@t90 @t483)) % 15.02/15.29 (step @p725 :rule cong :premises (@p724) :args ((forall @t25 (=> @t90 @t483)))) % 15.02/15.29 (step @p726 :rule eq-symm :args (@t97 @t7)) % 15.02/15.29 (step @p727 :rule refl :args (@t90)) % 15.02/15.29 (step @p728 :rule cong :premises (@p727 @p726) :args (@t167)) % 15.02/15.29 (step @p729 :rule cong :premises (@p728) :args (@t168)) % 15.02/15.29 (step @p730 :rule trans :premises (@p729 @p725)) % 15.02/15.29 (step @p731 :rule eq_resolve :premises (@p106 @p730)) % 15.02/15.29 (step @p732 :rule instantiate :premises (@p731) :args (@t385)) % 15.02/15.29 (step @p733 :rule cnf_or_pos :args (@t486)) % 15.02/15.29 (step @p734 :rule reordering :premises (@p733) :args ((or @t390 @t485 (not @t486)))) % 15.02/15.29 (step @p735 :rule chain_m_resolution :premises (@p734 @p493 @p732) :args (@t485 @t345 (@list @t386 @t486))) % 15.02/15.29 (step @p736 :rule symm :premises (@p735)) % 15.02/15.29 (step @p737 :rule aci_norm :args ((= @t497 (or @t374 @t495 @t494 @t493 @t492 @t491 @t489)))) % 15.02/15.29 (step @p738 :rule cong :premises (@p737) :args (@t498)) % 15.02/15.29 (step @p739 :rule quant-merge-prenex :args ((= (forall @t25 @t500) @t498))) % 15.02/15.29 (step @p740 :rule alpha_equiv :args (@t501 (@list @t487 @t488) (@list @t4 @t502))) % 15.02/15.29 (step @p741 :rule nary_cong :premises (@p430 @p740) :args (@t503)) % 15.02/15.29 (step @p742 :rule quant-miniscope-or :args ((= @t500 @t503))) % 15.02/15.29 (step @p743 :rule trans :premises (@p742 @p741)) % 15.02/15.29 (step @p744 :rule symm :premises (@p743)) % 15.02/15.29 (step @p745 :rule cong :premises (@p744) :args ((forall @t25 (or @t374 @t510)))) % 15.02/15.29 (step @p746 :rule trans :premises (@p745 @p739)) % 15.02/15.29 (step @p747 :rule trans :premises (@p746 @p738)) % 15.02/15.29 (step @p748 :rule bool-impl-elim :args (@t90 @t510)) % 15.02/15.29 (step @p749 :rule cong :premises (@p748) :args ((forall @t25 (=> @t90 @t510)))) % 15.02/15.29 (step @p750 :rule trans :premises (@p749 @p747)) % 15.02/15.29 (step @p751 :rule aci_norm :args ((= @t512 @t508))) % 15.02/15.29 (step @p752 :rule cong :premises (@p751) :args (@t513)) % 15.02/15.29 (step @p753 :rule quant-merge-prenex :args ((= (forall @t17 @t515) @t513))) % 15.02/15.29 (step @p754 :rule alpha_equiv :args (@t516 (@list @t502) @t251)) % 15.02/15.29 (step @p755 :rule nary_cong :premises (@p180 @p601 @p754) :args (@t517)) % 15.02/15.29 (step @p756 :rule quant-miniscope-or :args ((= @t515 @t517))) % 15.02/15.29 (step @p757 :rule trans :premises (@p756 @p755)) % 15.02/15.29 (step @p758 :rule symm :premises (@p757)) % 15.02/15.29 (step @p759 :rule cong :premises (@p758) :args ((forall @t17 @t522))) % 15.02/15.29 (step @p760 :rule trans :premises (@p759 @p753)) % 15.02/15.29 (step @p761 :rule trans :premises (@p760 @p752)) % 15.02/15.29 (step @p762 :rule aci_norm :args ((= (or (or @t13 @t429) @t521) @t522))) % 15.02/15.29 (step @p763 :rule refl :args (@t521)) % 15.02/15.29 (step @p764 :rule nary_cong :premises (@p190 @p601) :args ((or @t257 @t429))) % 15.02/15.29 (step @p765 :rule bool-and-de-morgan :args (@t14 @t109 true)) % 15.02/15.29 (step @p766 :rule trans :premises (@p765 @p764)) % 15.02/15.29 (step @p767 :rule nary_cong :premises (@p766 @p763) :args ((or (not @t199) @t521))) % 15.02/15.29 (step @p768 :rule trans :premises (@p767 @p762)) % 15.02/15.29 (step @p769 :rule bool-impl-elim :args (@t199 @t521)) % 15.02/15.29 (step @p770 :rule trans :premises (@p769 @p768)) % 15.02/15.29 (step @p771 :rule cong :premises (@p770) :args ((forall @t17 (=> @t199 @t521)))) % 15.02/15.29 (step @p772 :rule trans :premises (@p771 @p761)) % 15.02/15.29 (step @p773 :rule aci_norm :args ((= (or @t523 @t518) @t520))) % 15.02/15.29 (step @p774 :rule refl :args (@t518)) % 15.02/15.29 (step @p775 :rule aci_norm :args ((= (or @t379 (or @t428 @t519)) @t523))) % 15.02/15.29 (step @p776 :rule bool-and-de-morgan :args (@t107 @t195 true)) % 15.02/15.29 (step @p777 :rule nary_cong :premises (@p451 @p776) :args ((or @t379 (not (and @t107 @t195))))) % 15.02/15.29 (step @p778 :rule bool-and-de-morgan :args (@t108 @t107 (and @t195))) % 15.02/15.29 (step @p779 :rule trans :premises (@p778 @p777)) % 15.02/15.29 (step @p780 :rule trans :premises (@p779 @p775)) % 15.02/15.29 (step @p781 :rule nary_cong :premises (@p780 @p774) :args ((or (not @t196) @t518))) % 15.02/15.29 (step @p782 :rule trans :premises (@p781 @p773)) % 15.02/15.29 (step @p783 :rule bool-impl-elim :args (@t196 @t518)) % 15.02/15.29 (step @p784 :rule trans :premises (@p783 @p782)) % 15.02/15.29 (step @p785 :rule cong :premises (@p784) :args ((forall @t9 (=> @t196 @t518)))) % 15.02/15.29 (step @p786 :rule refl :args (@t192)) % 15.02/15.29 (step @p787 :rule eq-symm :args (@t193 @t97)) % 15.02/15.29 (step @p788 :rule nary_cong :premises (@p787 @p786) :args (@t194)) % 15.02/15.29 (step @p789 :rule refl :args (@t196)) % 15.02/15.29 (step @p790 :rule cong :premises (@p789 @p788) :args (@t197)) % 15.02/15.29 (step @p791 :rule cong :premises (@p790) :args (@t198)) % 15.02/15.29 (step @p792 :rule trans :premises (@p791 @p785)) % 15.02/15.29 (step @p793 :rule refl :args (@t199)) % 15.02/15.29 (step @p794 :rule cong :premises (@p793 @p792) :args (@t200)) % 15.02/15.29 (step @p795 :rule cong :premises (@p794) :args (@t201)) % 15.02/15.29 (step @p796 :rule trans :premises (@p795 @p772)) % 15.02/15.29 (step @p797 :rule cong :premises (@p727 @p796) :args (@t202)) % 15.02/15.29 (step @p798 :rule cong :premises (@p797) :args (@t203)) % 15.02/15.29 (step @p799 :rule trans :premises (@p798 @p750)) % 15.02/15.29 (step @p800 :rule eq_resolve :premises (@p115 @p799)) % 15.02/15.29 (step @p801 :rule instantiate :premises (@p800) :args ((@list @t225 @t263 @t327))) % 15.02/15.29 (step @p802 :rule cnf_and_pos :args (@t349 1)) % 15.02/15.29 (step @p803 :rule reordering :premises (@p802) :args ((or @t347 @t353))) % 15.02/15.29 (step @p804 :rule chain_m_resolution :premises (@p803 @p383) :args (@t347 @t289 @t354)) % 15.02/15.29 (step @p805 :rule cnf_and_pos :args (@t349 0)) % 15.02/15.29 (step @p806 :rule reordering :premises (@p805) :args ((or @t348 @t353))) % 15.02/15.29 (step @p807 :rule chain_m_resolution :premises (@p806 @p383) :args (@t348 @t289 @t354)) % 15.02/15.29 (step @p808 :rule cnf_or_pos :args (@t528)) % 15.02/15.29 (step @p809 :rule reordering :premises (@p808) :args ((or @t274 @t390 @t419 @t527 @t526 @t356 @t525 (not @t528)))) % 15.02/15.29 (step @p810 :rule chain_m_resolution :premises (@p809 @p380 @p493 @p550 @p807 @p804 @p386 @p801) :args (@t525 (@list true false false false false false false) (@list @t274 @t386 @t414 @t348 @t347 @t346 @t528))) % 15.02/15.29 (step @p811 :rule cnf_and_pos :args (@t525 0)) % 15.02/15.29 (step @p812 :rule reordering :premises (@p811) :args ((or @t524 (not @t525)))) % 15.02/15.29 (step @p813 :rule chain_m_resolution :premises (@p812 @p810) :args (@t524 @t289 (@list @t525))) % 15.02/15.29 (step @p814 :rule symm :premises (@p813)) % 15.02/15.29 (step @p815 :rule cong :premises (@p405) :args (@t301)) % 15.02/15.29 (step @p816 :rule trans :premises (@p815 @p814 @p736)) % 15.02/15.29 (step @p817 :rule refl :args (@t224)) % 15.02/15.29 (step @p818 :rule cong :premises (@p817 @p816) :args (@t529)) % 15.02/15.29 (step @p819 :rule trans :premises (@p818 @p723)) % 15.02/15.29 (step @p820 :rule true_elim :premises (@p819)) % 15.02/15.29 (step @p821 :rule cnf_or_pos :args (@t532)) % 15.02/15.29 (step @p822 :rule reordering :premises (@p821) :args ((or @t371 @t305 @t531 @t530 (not @t532)))) % 15.02/15.29 (step @p823 :rule chain_m_resolution :premises (@p822 @p423 @p408 @p820 @p713) :args (@t530 @t533 (@list @t365 @t304 @t529 @t532))) % 15.02/15.29 (step @p824 :rule symm :premises (@p823)) % 15.02/15.29 (step @p825 :rule trans :premises (@p824 @p704 @p698)) % 15.02/15.29 (step @p826 :rule cong :premises (@p825 @p693) :args (@t320)) % 15.02/15.29 (step @p827 :rule trans :premises (@p826 @p593)) % 15.02/15.29 (step @p828 :rule false_elim :premises (@p827)) % 15.02/15.29 (step @p829 :rule cnf_or_pos :args (@t322)) % 15.02/15.29 (step @p830 :rule reordering :premises (@p829) :args ((or @t321 @t320 (not @t322)))) % 15.02/15.29 (step @p831 :rule chain_m_resolution :premises (@p830 @p828 @p590) :args (@t321 @t534 @t535)) % 15.02/15.29 (assume-push @p952 @t432) % 15.02/15.29 (assume-push @p953 @t468) % 15.02/15.29 (assume-push @p954 @t470) % 15.02/15.29 (assume-push @p955 @t321) % 15.02/15.29 (assume-push @p956 @t432) % 15.02/15.29 (assume-push @p957 (= tptp.k1_xboole_0 @t265)) % 15.02/15.29 (step @p838 :rule symm :premises (@p618)) % 15.02/15.29 (step @p839 :rule cong :premises (@p691 @p690) :args (@t314)) % 15.02/15.29 (step @p840 :rule chain_m_resolution :premises (@p830 @p828 @p590) :args (@t321 @t534 @t535)) % 15.02/15.29 (step @p841 :rule trans :premises (@p840 @p839 @p838)) % 15.02/15.29 (step @p842 :rule trans :premises (@p841 @p618)) % 15.02/15.29 (step-pop @p958 :rule scope :premises (@p842)) % 15.02/15.29 (step-pop @p959 :rule scope :premises (@p958)) % 15.02/15.29 (step @p843 :rule process_scope :premises (@p959) :args (@t299)) % 15.02/15.29 (step @p846 :rule trans :premises (@p831 @p692 @p619)) % 15.02/15.29 (step @p847 :rule and_intro :premises (@p618 @p846)) % 15.02/15.29 (step @p848 :rule modus_ponens :premises (@p847 @p843)) % 15.02/15.29 (step-pop @p960 :rule scope :premises (@p848)) % 15.02/15.29 (step-pop @p961 :rule scope :premises (@p960)) % 15.02/15.29 (step-pop @p962 :rule scope :premises (@p961)) % 15.02/15.29 (step-pop @p963 :rule scope :premises (@p962)) % 15.02/15.29 (step @p849 :rule process_scope :premises (@p963) :args (@t299)) % 15.02/15.29 (step @p854 :rule implies_elim :premises (@p849)) % 15.02/15.29 (step @p855 :rule cnf_and_neg :args (@t536)) % 15.02/15.29 (step @p856 :rule resolution :premises (@p855 @p854) :args (true @t536)) % 15.02/15.29 (step @p857 :rule reordering :premises (@p856) :args ((or (not @t432) @t299 (not @t468) (not @t470) (not @t321)))) % 15.02/15.29 (step @p858 :rule chain_m_resolution :premises (@p857 @p618 @p675 @p688 @p831) :args (@t299 @t533 (@list @t432 @t468 @t470 @t321))) % 15.02/15.29 (step @p859 :rule instantiate :premises (@p113) :args ((@list @t537 @t260))) % 15.02/15.29 (step @p860 :rule aci_norm :args ((= (or @t210 @t99) (or @t205 @t204 @t99)))) % 15.02/15.29 (step @p861 :rule refl :args (@t99)) % 15.02/15.29 (step @p862 :rule nary_cong :premises (@p130 @p861) :args ((or @t211 @t99))) % 15.02/15.29 (step @p863 :rule trans :premises (@p862 @p860)) % 15.02/15.29 (step @p864 :rule bool-impl-elim :args (@t100 @t99)) % 15.02/15.29 (step @p865 :rule trans :premises (@p864 @p863)) % 15.02/15.29 (step @p866 :rule cong :premises (@p865) :args (@t101)) % 15.02/15.29 (step @p867 :rule eq_resolve :premises (@p53 @p866)) % 15.02/15.29 (step @p868 :rule instantiate :premises (@p867) :args (@t226)) % 15.02/15.29 (step @p869 :rule cnf_or_pos :args (@t539)) % 15.02/15.29 (step @p870 :rule reordering :premises (@p869) :args ((or @t276 @t269 @t538 (not @t539)))) % 15.02/15.29 (step @p871 :rule chain_m_resolution :premises (@p870 @p231 @p225 @p868) :args (@t538 @t373 (@list @t275 @t261 @t539))) % 15.02/15.29 (step @p872 :rule cnf_equiv_pos1 :args (@t541)) % 15.02/15.29 (step @p873 :rule reordering :premises (@p872) :args ((or (not @t538) @t540 (not @t541)))) % 15.02/15.29 (step @p874 :rule chain_m_resolution :premises (@p873 @p871 @p859) :args (@t540 @t345 (@list @t538 @t541))) % 15.02/15.29 (step @p875 :rule true_intro :premises (@p874)) % 15.02/15.29 (step @p876 :rule aci_norm :args ((= (or @t207 @t542) @t543))) % 15.02/15.29 (step @p877 :rule refl :args (@t542)) % 15.02/15.29 (step @p878 :rule nary_cong :premises (@p138 @p877) :args ((or @t212 @t542))) % 15.02/15.29 (step @p879 :rule trans :premises (@p878 @p876)) % 15.02/15.29 (step @p880 :rule bool-impl-elim :args (@t114 @t542)) % 15.02/15.29 (step @p881 :rule trans :premises (@p880 @p879)) % 15.02/15.29 (step @p882 :rule cong :premises (@p881) :args ((forall @t29 (=> @t114 @t542)))) % 15.02/15.29 (step @p883 :rule eq-symm :args (@t112 @t98)) % 15.02/15.29 (step @p884 :rule refl :args (@t114)) % 15.02/15.29 (step @p885 :rule cong :premises (@p884 @p883) :args (@t150)) % 15.02/15.29 (step @p886 :rule cong :premises (@p885) :args (@t151)) % 15.02/15.29 (step @p887 :rule trans :premises (@p886 @p882)) % 15.02/15.29 (step @p888 :rule eq_resolve :premises (@p99 @p887)) % 15.02/15.29 (step @p889 :rule eq-symm :args (@t537 @t262)) % 15.02/15.29 (step @p890 :rule refl :args (@t276)) % 15.02/15.29 (step @p891 :rule refl :args (@t278)) % 15.02/15.29 (step @p892 :rule refl :args (@t279)) % 15.02/15.29 (step @p893 :rule nary_cong :premises (@p892 @p891 @p890 @p564 @p889) :args (@t544)) % 15.02/15.29 (step @p894 :rule refl :args (@t545)) % 15.02/15.29 (step @p895 :rule cong :premises (@p894 @p893) :args ((=> @t545 @t544))) % 15.02/15.29 (assume-push @p964 @t545) % 15.02/15.29 (step @p897 :rule instantiate :premises (@p888) :args (@t226)) % 15.02/15.29 (step-pop @p965 :rule scope :premises (@p897)) % 15.02/15.29 (step @p898 :rule process_scope :premises (@p965) :args (@t544)) % 15.02/15.29 (step @p900 :rule eq_resolve :premises (@p898 @p895)) % 15.02/15.29 (step @p901 :rule implies_elim :premises (@p900)) % 15.02/15.29 (step @p902 :rule chain_m_resolution :premises (@p901 @p888) :args (@t547 @t289 (@list @t545))) % 15.02/15.29 (step @p903 :rule cnf_or_pos :args (@t547)) % 15.02/15.29 (step @p904 :rule reordering :premises (@p903) :args ((or @t279 @t278 @t276 @t269 @t546 (not @t547)))) % 15.02/15.29 (step @p905 :rule chain_m_resolution :premises (@p904 @p239 @p237 @p231 @p225 @p902) :args (@t546 @t288 (@list @t279 @t277 @t275 @t261 @t547))) % 15.02/15.29 (step @p906 :rule cong :premises (@p905 @p816) :args (@t302)) % 15.02/15.29 (step @p907 :rule trans :premises (@p906 @p875)) % 15.02/15.29 (step @p908 :rule true_elim :premises (@p907)) % 15.02/15.29 (step @p909 :rule cnf_or_pos :args (@t309)) % 15.02/15.29 (step @p910 :rule reordering :premises (@p909) :args ((or @t305 @t303 @t300 @t308 (not @t309)))) % 0.37/15.36 (step @p911 :rule chain_m_resolution :premises (@p910 @p408 @p908 @p858 @p288) :args (@t308 @t533 (@list @t304 @t302 @t299 @t309))) % 0.37/15.36 (step @p912 :rule refl :args (@t548)) % 0.37/15.36 (step @p913 :rule bool-double-not-elim :args (@t284)) % 0.37/15.36 (step @p914 :rule refl :args (@t549)) % 0.37/15.36 (step @p915 :rule nary_cong :premises (@p914 @p913 @p912) :args ((or @t549 (not @t285) @t548))) % 0.37/15.36 (assume-push @p966 @t142) % 0.37/15.36 (assume-push @p967 @t308) % 0.37/15.36 (assume-push @p968 @t285) % 0.37/15.36 (step @p919 :rule evaluate :args ((= false true))) % 0.37/15.36 (step @p920 :rule true_intro :premises (@p120)) % 0.37/15.36 (step @p921 :rule symm :premises (@p967)) % 0.37/15.36 (step @p922 :rule cong :premises (@p921) :args (@t284)) % 0.37/15.36 (step @p923 :rule false_intro :premises (@p245)) % 0.37/15.36 (step @p924 :rule symm :premises (@p923)) % 0.37/15.36 (step @p925 :rule trans :premises (@p924 @p922 @p920)) % 0.37/15.36 (step @p926 false :rule eq_resolve :premises (@p925 @p919)) % 0.37/15.36 (step-pop @p969 :rule scope :premises (@p926)) % 0.37/15.36 (step-pop @p970 :rule scope :premises (@p969)) % 0.37/15.36 (step-pop @p971 :rule scope :premises (@p970)) % 0.37/15.36 (step @p927 :rule process_scope :premises (@p971) :args (false)) % 0.37/15.36 (assume-push @p972 @t142) % 0.37/15.36 (assume-push @p973 @t285) % 0.37/15.36 (assume-push @p974 @t308) % 0.37/15.36 (step @p934 :rule and_intro :premises (@p120 @p974 @p245)) % 0.37/15.36 (step-pop @p975 :rule scope :premises (@p934)) % 0.37/15.36 (step-pop @p976 :rule scope :premises (@p975)) % 0.37/15.36 (step-pop @p977 :rule scope :premises (@p976)) % 0.37/15.36 (step @p935 :rule process_scope :premises (@p977) :args (@t550)) % 0.37/15.36 (step @p939 :rule implies_elim :premises (@p935)) % 0.37/15.36 (step @p940 :rule resolution :premises (@p939 @p927) :args (true @t550)) % 0.37/15.36 (step @p941 :rule not_and :premises (@p940)) % 0.37/15.36 (step @p942 :rule eq_resolve :premises (@p941 @p915)) % 0.37/15.36 (step @p943 false :rule chain_m_resolution :premises (@p942 @p911 @p245 @p120) :args (false @t482 (@list @t308 @t284 @t142))) % 0.37/15.36 ) % 0.37/15.36 % SZS output end Proof % 0.37/15.36 % cvc5 exiting %------------------------------------------------------------------------------