%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP630+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 : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:21:05 AM UTC 2026 % Result : Theorem 1.72s 1.97s % Output : Proof 1.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP630+1 : TPTP v9.2.1. Released v3.4.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n010.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 01:26:40 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 1.72/1.97 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.72/1.97 % SZS status Theorem % 1.72/1.97 % SZS output start Proof % 1.72/1.97 ( % 1.72/1.97 (declare-sort $$unsorted 0) % 1.72/1.97 (declare-const tptp.k2_relat_1 (-> $$unsorted $$unsorted)) % 1.72/1.97 (declare-const tptp.k1_relat_1 (-> $$unsorted $$unsorted)) % 1.72/1.97 (declare-const tptp.k1_xboole_0 $$unsorted) % 1.72/1.97 (declare-const tptp.k6_relat_1 (-> $$unsorted $$unsorted)) % 1.72/1.97 (declare-const tptp.k6_partfun1 (-> $$unsorted $$unsorted)) % 1.72/1.97 (declare-const tptp.k4_autgroup (-> $$unsorted $$unsorted)) % 1.72/1.97 (declare-const tptp.k2_group_1 (-> $$unsorted $$unsorted)) % 1.72/1.97 (declare-const tptp.k7_funct_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.97 (declare-const tptp.k1_partfun1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.72/1.97 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.u1_group_1 (-> $$unsorted $$unsorted)) % 1.72/1.97 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.v1_group_1 (-> $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.m2_fraenkel (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.m1_fraenkel (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.v3_group_1 (-> $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.g1_group_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.97 (declare-const tptp.v4_relat_2 (-> $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 1.72/1.97 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.v3_group_6 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.k1_autgroup (-> $$unsorted $$unsorted)) % 1.72/1.97 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.97 (declare-const tptp.v1_group_6 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 1.72/1.97 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.k3_group_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.97 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.k2_funct_1 (-> $$unsorted $$unsorted)) % 1.72/1.97 (declare-const tptp.v1_fraenkel (-> $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.k6_autgroup (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.97 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.k5_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 1.72/1.97 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.v1_relat_2 (-> $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.v2_group_1 (-> $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.v8_relat_2 (-> $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.v3_relat_2 (-> $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.v2_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.72/1.97 (declare-const tptp.v3_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.72/1.97 (define @t1 () (@var "B" $$unsorted)) % 1.72/1.97 (define @t2 () (@var "A" $$unsorted)) % 1.72/1.97 (define @t3 () (tptp.k6_autgroup @t2 @t1)) % 1.72/1.97 (define @t4 () (tptp.k3_group_1 @t2 @t1)) % 1.72/1.97 (define @t5 () (tptp.k6_autgroup @t2 @t4)) % 1.72/1.97 (define @t6 () (= @t5 (tptp.k2_funct_1 @t3))) % 1.72/1.97 (define @t7 () (tptp.u1_struct_0 @t2)) % 1.72/1.97 (define @t8 () (tptp.m1_subset_1 @t1 @t7)) % 1.72/1.97 (define @t9 () (@list @t1)) % 1.72/1.97 (define @t10 () (forall @t9 (=> @t8 @t6))) % 1.72/1.97 (define @t11 () (tptp.l1_group_1 @t2)) % 1.72/1.97 (define @t12 () (tptp.v4_group_1 @t2)) % 1.72/1.97 (define @t13 () (tptp.v3_group_1 @t2)) % 1.72/1.97 (define @t14 () (tptp.v1_group_1 @t2)) % 1.72/1.97 (define @t15 () (tptp.v3_struct_0 @t2)) % 1.72/1.97 (define @t16 () (not @t15)) % 1.72/1.97 (define @t17 () (and @t16 @t14 @t13 @t12 @t11)) % 1.72/1.97 (define @t18 () (=> @t17 @t10)) % 1.72/1.97 (define @t19 () (@list @t2)) % 1.72/1.97 (define @t20 () (forall @t19 @t18)) % 1.72/1.97 (define @t21 () (not @t20)) % 1.72/1.97 (define @t22 () (tptp.u1_group_1 @t2)) % 1.72/1.97 (define @t23 () (tptp.r2_hidden @t2 @t1)) % 1.72/1.97 (define @t24 () (@list @t2 @t1)) % 1.72/1.97 (define @t25 () (tptp.v1_funct_1 @t1)) % 1.72/1.97 (define @t26 () (tptp.v1_relat_1 @t1)) % 1.72/1.97 (define @t27 () (tptp.m1_subset_1 @t1 @t2)) % 1.72/1.97 (define @t28 () (tptp.v1_fraenkel @t2)) % 1.72/1.97 (define @t29 () (tptp.v1_funct_1 @t2)) % 1.72/1.97 (define @t30 () (tptp.v1_xboole_0 @t2)) % 1.72/1.97 (define @t31 () (@var "C" $$unsorted)) % 1.72/1.97 (define @t32 () (tptp.v1_funct_2 @t31 @t2 @t1)) % 1.72/1.97 (define @t33 () (tptp.v1_funct_1 @t31)) % 1.72/1.97 (define @t34 () (and @t33 @t32)) % 1.72/1.97 (define @t35 () (tptp.v1_partfun1 @t31 @t2 @t1)) % 1.72/1.97 (define @t36 () (tptp.m1_relset_1 @t31 @t2 @t1)) % 1.72/1.97 (define @t37 () (@list @t2 @t1 @t31)) % 1.72/1.97 (define @t38 () (tptp.v2_group_1 @t2)) % 1.72/1.97 (define @t39 () (tptp.v1_relat_1 @t2)) % 1.72/1.97 (define @t40 () (tptp.v1_relat_1 @t31)) % 1.72/1.97 (define @t41 () (tptp.m1_subset_1 @t31 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t2 @t1)))) % 1.72/1.97 (define @t42 () (tptp.v2_funct_1 @t2)) % 1.72/1.97 (define @t43 () (and @t39 @t29 @t42)) % 1.72/1.97 (define @t44 () (and @t39 @t30 @t29)) % 1.72/1.97 (define @t45 () (tptp.v2_funct_1 @t31)) % 1.72/1.97 (define @t46 () (and @t33 @t45 @t32 (tptp.v2_funct_2 @t31 @t2 @t1))) % 1.72/1.97 (define @t47 () (and @t33 @t32 (tptp.v3_funct_2 @t31 @t2 @t1))) % 1.72/1.97 (define @t48 () (tptp.v3_funct_2 @t1 @t2 @t2)) % 1.72/1.97 (define @t49 () (tptp.v2_funct_2 @t1 @t2 @t2)) % 1.72/1.97 (define @t50 () (tptp.v1_funct_2 @t1 @t2 @t2)) % 1.72/1.97 (define @t51 () (tptp.v2_funct_1 @t1)) % 1.72/1.97 (define @t52 () (tptp.v1_relat_2 @t1)) % 1.72/1.97 (define @t53 () (tptp.v1_partfun1 @t1 @t2 @t2)) % 1.72/1.97 (define @t54 () (tptp.m1_relset_1 @t1 @t2 @t2)) % 1.72/1.97 (define @t55 () (@list @t31)) % 1.72/1.97 (define @t56 () (tptp.v1_xboole_0 @t1)) % 1.72/1.97 (define @t57 () (not @t56)) % 1.72/1.97 (define @t58 () (tptp.v1_xboole_0 @t31)) % 1.72/1.97 (define @t59 () (not @t58)) % 1.72/1.97 (define @t60 () (not @t30)) % 1.72/1.97 (define @t61 () (and @t45 (tptp.v3_group_6 @t31 @t2 @t2))) % 1.72/1.97 (define @t62 () (= (tptp.r2_hidden @t31 @t1) @t61)) % 1.72/1.97 (define @t63 () (tptp.m2_relset_1 @t31 @t7 @t7)) % 1.72/1.97 (define @t64 () (tptp.v1_group_6 @t31 @t2 @t2)) % 1.72/1.97 (define @t65 () (tptp.v1_funct_2 @t31 @t7 @t7)) % 1.72/1.97 (define @t66 () (and @t33 @t65 @t64 @t63)) % 1.72/1.97 (define @t67 () (forall @t55 (=> @t66 @t62))) % 1.72/1.97 (define @t68 () (tptp.m2_fraenkel @t31 @t7 @t7 @t1)) % 1.72/1.97 (define @t69 () (forall @t55 (=> @t68 @t66))) % 1.72/1.97 (define @t70 () (and @t69 @t67)) % 1.72/1.97 (define @t71 () (tptp.k1_autgroup @t2)) % 1.72/1.97 (define @t72 () (= @t1 @t71)) % 1.72/1.97 (define @t73 () (= @t72 @t70)) % 1.72/1.97 (define @t74 () (tptp.m1_fraenkel @t1 @t7 @t7)) % 1.72/1.97 (define @t75 () (=> @t74 @t73)) % 1.72/1.97 (define @t76 () (forall @t9 @t75)) % 1.72/1.97 (define @t77 () (=> @t17 @t76)) % 1.72/1.97 (define @t78 () (forall @t19 @t77)) % 1.72/1.97 (define @t79 () (tptp.g1_group_1 @t2 @t1)) % 1.72/1.97 (define @t80 () (tptp.v1_group_1 @t79)) % 1.72/1.97 (define @t81 () (tptp.k2_zfmisc_1 @t2 @t2)) % 1.72/1.97 (define @t82 () (tptp.m1_relset_1 @t1 @t81 @t2)) % 1.72/1.97 (define @t83 () (tptp.v1_funct_2 @t1 @t81 @t2)) % 1.72/1.97 (define @t84 () (and @t25 @t83 @t82)) % 1.72/1.97 (define @t85 () (tptp.m1_fraenkel @t71 @t7 @t7)) % 1.72/1.97 (define @t86 () (forall @t19 (=> @t17 @t85))) % 1.72/1.97 (define @t87 () (@var "D" $$unsorted)) % 1.72/1.97 (define @t88 () (@var "F" $$unsorted)) % 1.72/1.97 (define @t89 () (@var "E" $$unsorted)) % 1.72/1.97 (define @t90 () (tptp.k1_partfun1 @t2 @t1 @t31 @t87 @t89 @t88)) % 1.72/1.97 (define @t91 () (tptp.m1_relset_1 @t88 @t31 @t87)) % 1.72/1.97 (define @t92 () (tptp.v1_funct_1 @t88)) % 1.72/1.97 (define @t93 () (tptp.m1_relset_1 @t89 @t2 @t1)) % 1.72/1.97 (define @t94 () (tptp.v1_funct_1 @t89)) % 1.72/1.97 (define @t95 () (and @t94 @t93 @t92 @t91)) % 1.72/1.97 (define @t96 () (@list @t2 @t1 @t31 @t87 @t89 @t88)) % 1.72/1.97 (define @t97 () (tptp.k2_funct_1 @t2)) % 1.72/1.97 (define @t98 () (and @t39 @t29)) % 1.72/1.97 (define @t99 () (tptp.k2_group_1 @t2)) % 1.72/1.97 (define @t100 () (tptp.m1_subset_1 @t4 @t7)) % 1.72/1.97 (define @t101 () (and @t16 @t13 @t12 @t11 @t8)) % 1.72/1.97 (define @t102 () (forall @t24 (=> @t101 @t100))) % 1.72/1.97 (define @t103 () (tptp.k4_autgroup @t2)) % 1.72/1.97 (define @t104 () (tptp.m1_fraenkel @t103 @t7 @t7)) % 1.72/1.97 (define @t105 () (forall @t19 (=> @t17 @t104))) % 1.72/1.97 (define @t106 () (tptp.k5_relat_1 @t2 @t1)) % 1.72/1.97 (define @t107 () (tptp.v1_relat_1 @t106)) % 1.72/1.97 (define @t108 () (tptp.m2_fraenkel @t3 @t7 @t7 @t103)) % 1.72/1.97 (define @t109 () (and @t16 @t14 @t13 @t12 @t11 @t8)) % 1.72/1.97 (define @t110 () (forall @t24 (=> @t109 @t108))) % 1.72/1.97 (define @t111 () (tptp.k6_partfun1 @t2)) % 1.72/1.97 (define @t112 () (tptp.k6_relat_1 @t2)) % 1.72/1.97 (define @t113 () (tptp.v1_relat_1 @t112)) % 1.72/1.97 (define @t114 () (tptp.k7_funct_2 @t2 @t1 @t31 @t87 @t89)) % 1.72/1.97 (define @t115 () (tptp.m1_relset_1 @t89 @t1 @t31)) % 1.72/1.97 (define @t116 () (tptp.v1_funct_2 @t89 @t1 @t31)) % 1.72/1.97 (define @t117 () (tptp.m1_relset_1 @t87 @t2 @t1)) % 1.72/1.97 (define @t118 () (tptp.v1_funct_2 @t87 @t2 @t1)) % 1.72/1.97 (define @t119 () (tptp.v1_funct_1 @t87)) % 1.72/1.97 (define @t120 () (and @t57 @t119 @t118 @t117 @t94 @t116 @t115)) % 1.72/1.97 (define @t121 () (@list @t2 @t1 @t31 @t87 @t89)) % 1.72/1.97 (define @t122 () (tptp.l1_struct_0 @t2)) % 1.72/1.97 (define @t123 () (forall @t19 (=> @t11 @t122))) % 1.72/1.97 (define @t124 () (and @t59 (tptp.v1_fraenkel @t31))) % 1.72/1.97 (define @t125 () (tptp.m1_fraenkel @t31 @t2 @t1)) % 1.72/1.97 (define @t126 () (forall @t37 (=> @t125 @t124))) % 1.72/1.97 (define @t127 () (and @t119 @t118 (tptp.m2_relset_1 @t87 @t2 @t1))) % 1.72/1.97 (define @t128 () (tptp.m2_fraenkel @t87 @t2 @t1 @t31)) % 1.72/1.97 (define @t129 () (@list @t87)) % 1.72/1.97 (define @t130 () (forall @t129 (=> @t128 @t127))) % 1.72/1.97 (define @t131 () (and @t57 @t125)) % 1.72/1.97 (define @t132 () (=> @t131 @t130)) % 1.72/1.97 (define @t133 () (forall @t37 @t132)) % 1.72/1.97 (define @t134 () (tptp.m2_relset_1 @t31 @t2 @t1)) % 1.72/1.97 (define @t135 () (tptp.k2_zfmisc_1 @t7 @t7)) % 1.72/1.97 (define @t136 () (exists @t129 @t128)) % 1.72/1.97 (define @t137 () (=> @t131 @t136)) % 1.72/1.97 (define @t138 () (forall @t37 @t137)) % 1.72/1.97 (define @t139 () (not (tptp.v1_xboole_0 @t7))) % 1.72/1.97 (define @t140 () (and @t16 @t122)) % 1.72/1.97 (define @t141 () (forall @t19 (=> @t140 @t139))) % 1.72/1.97 (define @t142 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 1.72/1.97 (define @t143 () (tptp.v1_funct_1 @t112)) % 1.72/1.97 (define @t144 () (tptp.k1_relat_1 @t1)) % 1.72/1.97 (define @t145 () (= @t144 (tptp.k2_relat_1 @t1))) % 1.72/1.97 (define @t146 () (and @t145 (= @t144 @t7))) % 1.72/1.97 (define @t147 () (tptp.m2_fraenkel @t1 @t7 @t7 @t71)) % 1.72/1.97 (define @t148 () (=> @t147 @t146)) % 1.72/1.97 (define @t149 () (forall @t9 @t148)) % 1.72/1.97 (define @t150 () (=> @t17 @t149)) % 1.72/1.97 (define @t151 () (forall @t19 @t150)) % 1.72/1.97 (define @t152 () (tptp.u1_struct_0 @t1)) % 1.72/1.97 (define @t153 () (= @t90 (tptp.k5_relat_1 @t89 @t88))) % 1.72/1.97 (define @t154 () (forall @t96 (=> @t95 @t153))) % 1.72/1.97 (define @t155 () (= @t114 (tptp.k5_relat_1 @t87 @t89))) % 1.72/1.97 (define @t156 () (forall @t121 (=> @t120 @t155))) % 1.72/1.97 (define @t157 () (forall @t129 (= @t128 (tptp.m1_subset_1 @t87 @t31)))) % 1.72/1.97 (define @t158 () (forall @t37 (=> @t131 @t157))) % 1.72/1.97 (define @t159 () (forall @t37 (= @t134 @t36))) % 1.72/1.97 (define @t160 () (tptp.m2_fraenkel @t1 @t7 @t7 @t103)) % 1.72/1.97 (define @t161 () (forall @t9 (=> @t160 @t147))) % 1.72/1.97 (define @t162 () (=> @t17 @t161)) % 1.72/1.97 (define @t163 () (forall @t19 @t162)) % 1.72/1.97 (define @t164 () (tptp.m1_subset_1 @t2 @t1)) % 1.72/1.97 (define @t165 () (tptp.k6_autgroup @t2 @t99)) % 1.72/1.97 (define @t166 () (= @t165 (tptp.k6_partfun1 @t7))) % 1.72/1.97 (define @t167 () (forall @t19 (=> @t17 @t166))) % 1.72/1.97 (define @t168 () (tptp.k7_funct_2 @t7 @t7 @t7 @t3 @t5)) % 1.72/1.97 (define @t169 () (=> @t8 (= @t168 @t165))) % 1.72/1.97 (define @t170 () (forall @t9 @t169)) % 1.72/1.97 (define @t171 () (=> @t17 @t170)) % 1.72/1.97 (define @t172 () (forall @t19 @t171)) % 1.72/1.97 (define @t173 () (or @t56 @t23)) % 1.72/1.97 (define @t174 () (forall @t24 (=> @t164 @t173))) % 1.72/1.97 (define @t175 () (tptp.k2_funct_1 @t31)) % 1.72/1.97 (define @t176 () (= @t87 @t175)) % 1.72/1.97 (define @t177 () (= @t1 tptp.k1_xboole_0)) % 1.72/1.97 (define @t178 () (= @t2 tptp.k1_xboole_0)) % 1.72/1.97 (define @t179 () (or @t178 @t177 @t176)) % 1.72/1.97 (define @t180 () (tptp.k1_partfun1 @t2 @t1 @t1 @t2 @t31 @t87)) % 1.72/1.97 (define @t181 () (tptp.k2_relat_1 @t31)) % 1.72/1.97 (define @t182 () (and (= @t181 @t1) (= @t180 @t111) @t45)) % 1.72/1.97 (define @t183 () (=> @t182 @t179)) % 1.72/1.97 (define @t184 () (tptp.m2_relset_1 @t87 @t1 @t2)) % 1.72/1.97 (define @t185 () (tptp.v1_funct_2 @t87 @t1 @t2)) % 1.72/1.97 (define @t186 () (and @t119 @t185 @t184)) % 1.72/1.97 (define @t187 () (=> @t186 @t183)) % 1.72/1.97 (define @t188 () (forall @t129 @t187)) % 1.72/1.97 (define @t189 () (and @t33 @t32 @t134)) % 1.72/1.97 (define @t190 () (=> @t189 @t188)) % 1.72/1.97 (define @t191 () (forall @t37 @t190)) % 1.72/1.97 (define @t192 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t31))) % 1.72/1.97 (define @t193 () (not @t164)) % 1.72/1.97 (define @t194 () (or @t193 @t56 @t23)) % 1.72/1.97 (define @t195 () (@var "BOUND_VARIABLE_8550" $$unsorted)) % 1.72/1.97 (define @t196 () (= (tptp.m2_fraenkel @t195 @t2 @t1 @t31) (tptp.m1_subset_1 @t195 @t31))) % 1.72/1.97 (define @t197 () (not @t125)) % 1.72/1.97 (define @t198 () (or @t56 @t197 @t196)) % 1.72/1.97 (define @t199 () (@list @t195)) % 1.72/1.97 (define @t200 () (forall @t199 @t198)) % 1.72/1.97 (define @t201 () (forall @t199 @t196)) % 1.72/1.97 (define @t202 () (@list @t87)) % 1.72/1.97 (define @t203 () (or @t56 @t197 @t201)) % 1.72/1.97 (define @t204 () (or @t56 @t197 @t157)) % 1.72/1.97 (define @t205 () (or @t56 @t197)) % 1.72/1.97 (define @t206 () (not @t57)) % 1.72/1.97 (define @t207 () (not @t131)) % 1.72/1.97 (define @t208 () (@var "BOUND_VARIABLE_7926" $$unsorted)) % 1.72/1.97 (define @t209 () (= (tptp.k6_autgroup @t2 (tptp.k3_group_1 @t2 @t208)) (tptp.k2_funct_1 (tptp.k6_autgroup @t2 @t208)))) % 1.72/1.97 (define @t210 () (not (tptp.m1_subset_1 @t208 @t7))) % 1.72/1.97 (define @t211 () (not @t11)) % 1.72/1.97 (define @t212 () (not @t12)) % 1.72/1.97 (define @t213 () (not @t13)) % 1.72/1.97 (define @t214 () (not @t14)) % 1.72/1.97 (define @t215 () (or @t15 @t214 @t213 @t212 @t211 @t210 @t209)) % 1.72/1.97 (define @t216 () (@list @t2 @t208)) % 1.72/1.97 (define @t217 () (forall @t216 @t215)) % 1.72/1.97 (define @t218 () (@quantifiers_skolemize @t217 1)) % 1.72/1.97 (define @t219 () (@quantifiers_skolemize @t217 0)) % 1.72/1.97 (define @t220 () (tptp.k6_autgroup @t219 @t218)) % 1.72/1.97 (define @t221 () (tptp.k1_autgroup @t219)) % 1.72/1.97 (define @t222 () (tptp.u1_struct_0 @t219)) % 1.72/1.97 (define @t223 () (or @t15 @t214 @t213 @t212 @t211)) % 1.72/1.97 (define @t224 () (not @t16)) % 1.72/1.97 (define @t225 () (or @t224 @t214 @t213 @t212 @t211)) % 1.72/1.97 (define @t226 () (not @t17)) % 1.72/1.97 (define @t227 () (@list @t219)) % 1.72/1.97 (define @t228 () (or @t210 @t209)) % 1.72/1.97 (define @t229 () (or @t15 @t214 @t213 @t212 @t211 @t228)) % 1.72/1.97 (define @t230 () (forall @t216 @t229)) % 1.72/1.97 (define @t231 () (@list @t208)) % 1.72/1.98 (define @t232 () (forall @t231 @t229)) % 1.72/1.98 (define @t233 () (forall @t231 @t228)) % 1.72/1.98 (define @t234 () (@list @t1)) % 1.72/1.98 (define @t235 () (or @t15 @t214 @t213 @t212 @t211 @t233)) % 1.72/1.98 (define @t236 () (not @t8)) % 1.72/1.98 (define @t237 () (forall @t9 (or @t236 @t6))) % 1.72/1.98 (define @t238 () (or @t15 @t214 @t213 @t212 @t211 @t237)) % 1.72/1.98 (define @t239 () (tptp.l1_group_1 @t219)) % 1.72/1.98 (define @t240 () (tptp.k2_funct_1 @t220)) % 1.72/1.98 (define @t241 () (tptp.k3_group_1 @t219 @t218)) % 1.72/1.98 (define @t242 () (tptp.k6_autgroup @t219 @t241)) % 1.72/1.98 (define @t243 () (= @t242 @t240)) % 1.72/1.98 (define @t244 () (tptp.m1_subset_1 @t218 @t222)) % 1.72/1.98 (define @t245 () (not @t244)) % 1.72/1.98 (define @t246 () (not @t239)) % 1.72/1.98 (define @t247 () (tptp.v4_group_1 @t219)) % 1.72/1.98 (define @t248 () (not @t247)) % 1.72/1.98 (define @t249 () (tptp.v3_group_1 @t219)) % 1.72/1.98 (define @t250 () (not @t249)) % 1.72/1.98 (define @t251 () (tptp.v1_group_1 @t219)) % 1.72/1.98 (define @t252 () (not @t251)) % 1.72/1.98 (define @t253 () (tptp.v3_struct_0 @t219)) % 1.72/1.98 (define @t254 () (or @t253 @t252 @t250 @t248 @t246 @t245 @t243)) % 1.72/1.98 (define @t255 () (@list true)) % 1.72/1.98 (define @t256 () (@list @t254)) % 1.72/1.98 (define @t257 () (tptp.m1_fraenkel @t221 @t222 @t222)) % 1.72/1.98 (define @t258 () (or @t253 @t252 @t250 @t248 @t246 @t257)) % 1.72/1.98 (define @t259 () (@list true false false false false false)) % 1.72/1.98 (define @t260 () (not @t122)) % 1.72/1.98 (define @t261 () (tptp.l1_struct_0 @t219)) % 1.72/1.98 (define @t262 () (or @t246 @t261)) % 1.72/1.98 (define @t263 () (@list false false)) % 1.72/1.98 (define @t264 () (tptp.v1_xboole_0 @t222)) % 1.72/1.98 (define @t265 () (not @t264)) % 1.72/1.98 (define @t266 () (not @t261)) % 1.72/1.98 (define @t267 () (or @t253 @t266 @t265)) % 1.72/1.98 (define @t268 () (@list true false false)) % 1.72/1.98 (define @t269 () (tptp.m1_subset_1 @t220 @t221)) % 1.72/1.98 (define @t270 () (tptp.m2_fraenkel @t220 @t222 @t222 @t221)) % 1.72/1.98 (define @t271 () (= @t270 @t269)) % 1.72/1.98 (define @t272 () (not @t257)) % 1.72/1.98 (define @t273 () (or @t264 @t272 @t271)) % 1.72/1.98 (define @t274 () (@var "BOUND_VARIABLE_8571" $$unsorted)) % 1.72/1.98 (define @t275 () (tptp.m2_fraenkel @t274 @t7 @t7 @t71)) % 1.72/1.98 (define @t276 () (not (tptp.m2_fraenkel @t274 @t7 @t7 @t103))) % 1.72/1.98 (define @t277 () (or @t276 @t275)) % 1.72/1.98 (define @t278 () (or @t15 @t214 @t213 @t212 @t211 @t277)) % 1.72/1.98 (define @t279 () (forall (@list @t2 @t274) @t278)) % 1.72/1.98 (define @t280 () (@list @t274)) % 1.72/1.98 (define @t281 () (forall @t280 @t278)) % 1.72/1.98 (define @t282 () (forall @t280 @t277)) % 1.72/1.98 (define @t283 () (or @t15 @t214 @t213 @t212 @t211 @t282)) % 1.72/1.98 (define @t284 () (forall @t9 (or (not @t160) @t147))) % 1.72/1.98 (define @t285 () (or @t15 @t214 @t213 @t212 @t211 @t284)) % 1.72/1.98 (define @t286 () (@list @t219 @t220)) % 1.72/1.98 (define @t287 () (or @t224 @t214 @t213 @t212 @t211 @t236)) % 1.72/1.98 (define @t288 () (or @t213 (or @t212 (or @t211 @t236)))) % 1.72/1.98 (define @t289 () (not (and @t13 @t12 @t11 @t8))) % 1.72/1.98 (define @t290 () (@list @t219 @t218)) % 1.72/1.98 (define @t291 () (tptp.k4_autgroup @t219)) % 1.72/1.98 (define @t292 () (tptp.m2_fraenkel @t220 @t222 @t222 @t291)) % 1.72/1.98 (define @t293 () (or @t253 @t252 @t250 @t248 @t246 @t245 @t292)) % 1.72/1.98 (define @t294 () (@list true false false false false false false)) % 1.72/1.98 (define @t295 () (not @t292)) % 1.72/1.98 (define @t296 () (or @t253 @t252 @t250 @t248 @t246 @t295 @t270)) % 1.72/1.98 (define @t297 () (not @t270)) % 1.72/1.98 (define @t298 () (@var "BOUND_VARIABLE_8111" $$unsorted)) % 1.72/1.98 (define @t299 () (tptp.r2_hidden @t31 @t298)) % 1.72/1.98 (define @t300 () (not @t63)) % 1.72/1.98 (define @t301 () (not @t64)) % 1.72/1.98 (define @t302 () (not @t65)) % 1.72/1.98 (define @t303 () (not @t33)) % 1.72/1.98 (define @t304 () (or @t303 @t302 @t301 @t300 (= @t299 @t61))) % 1.72/1.98 (define @t305 () (forall @t55 @t304)) % 1.72/1.98 (define @t306 () (forall @t55 (or (not (tptp.m2_fraenkel @t31 @t7 @t7 @t298)) @t66))) % 1.72/1.98 (define @t307 () (and @t306 @t305)) % 1.72/1.98 (define @t308 () (= (= @t298 @t71) @t307)) % 1.72/1.98 (define @t309 () (not (tptp.m1_fraenkel @t298 @t7 @t7))) % 1.72/1.98 (define @t310 () (or @t15 @t214 @t213 @t212 @t211 @t309 @t308)) % 1.72/1.98 (define @t311 () (or @t309 @t308)) % 1.72/1.98 (define @t312 () (or @t15 @t214 @t213 @t212 @t211 @t311)) % 1.72/1.98 (define @t313 () (@list @t2 @t298)) % 1.72/1.98 (define @t314 () (forall @t313 @t312)) % 1.72/1.98 (define @t315 () (@list @t298)) % 1.72/1.98 (define @t316 () (forall @t315 @t312)) % 1.72/1.98 (define @t317 () (forall @t315 @t311)) % 1.72/1.98 (define @t318 () (or @t15 @t214 @t213 @t212 @t211 @t317)) % 1.72/1.98 (define @t319 () (or @t303 @t302 @t301 @t300 @t62)) % 1.72/1.98 (define @t320 () (= @t72 (and (forall @t55 (or (not @t68) @t66)) (forall @t55 @t319)))) % 1.72/1.98 (define @t321 () (forall @t9 (or (not @t74) @t320))) % 1.72/1.98 (define @t322 () (or @t15 @t214 @t213 @t212 @t211 @t321)) % 1.72/1.98 (define @t323 () (or @t303 @t302 @t301 @t300)) % 1.72/1.98 (define @t324 () (tptp.m2_relset_1 @t31 @t222 @t222)) % 1.72/1.98 (define @t325 () (tptp.v1_group_6 @t31 @t219 @t219)) % 1.72/1.98 (define @t326 () (tptp.v1_funct_2 @t31 @t222 @t222)) % 1.72/1.98 (define @t327 () (forall @t55 (or @t303 (not @t326) (not @t325) (not @t324) (= (and @t45 (tptp.v3_group_6 @t31 @t219 @t219)) (tptp.r2_hidden @t31 @t221))))) % 1.72/1.98 (define @t328 () (forall @t55 (or (not (tptp.m2_fraenkel @t31 @t222 @t222 @t221)) (and @t33 @t326 @t325 @t324)))) % 1.72/1.98 (define @t329 () (and @t328 @t327)) % 1.72/1.98 (define @t330 () (= (= @t221 @t221) @t329)) % 1.72/1.98 (define @t331 () (or @t253 @t252 @t250 @t248 @t246 @t272 @t330)) % 1.72/1.98 (define @t332 () (forall @t313 (or @t15 @t214 @t213 @t212 @t211 @t309 (= (= @t71 @t298) (and @t306 (forall @t55 (or @t303 @t302 @t301 @t300 (= @t61 @t299)))))))) % 1.72/1.98 (define @t333 () (or @t253 @t252 @t250 @t248 @t246 @t272 @t329)) % 1.72/1.98 (define @t334 () (@list false)) % 1.72/1.98 (define @t335 () (not @t329)) % 1.72/1.98 (define @t336 () (@list @t329)) % 1.72/1.98 (define @t337 () (@list @t220)) % 1.72/1.98 (define @t338 () (tptp.m2_relset_1 @t220 @t222 @t222)) % 1.72/1.98 (define @t339 () (tptp.v1_group_6 @t220 @t219 @t219)) % 1.72/1.98 (define @t340 () (tptp.v1_funct_2 @t220 @t222 @t222)) % 1.72/1.98 (define @t341 () (tptp.v1_funct_1 @t220)) % 1.72/1.98 (define @t342 () (and @t341 @t340 @t339 @t338)) % 1.72/1.98 (define @t343 () (or @t297 @t342)) % 1.72/1.98 (define @t344 () (@var "BOUND_VARIABLE_8228" $$unsorted)) % 1.72/1.98 (define @t345 () (and (tptp.v1_funct_1 @t344) (tptp.v1_funct_2 @t344 @t2 @t1) (tptp.m2_relset_1 @t344 @t2 @t1))) % 1.72/1.98 (define @t346 () (not (tptp.m2_fraenkel @t344 @t2 @t1 @t31))) % 1.72/1.98 (define @t347 () (or @t346 @t345)) % 1.72/1.98 (define @t348 () (or @t56 @t197 @t347)) % 1.72/1.98 (define @t349 () (forall (@list @t2 @t1 @t31 @t344) @t348)) % 1.72/1.98 (define @t350 () (@list @t344)) % 1.72/1.98 (define @t351 () (forall @t350 @t348)) % 1.72/1.98 (define @t352 () (forall @t350 @t347)) % 1.72/1.98 (define @t353 () (or @t56 @t197 @t352)) % 1.72/1.98 (define @t354 () (not @t128)) % 1.72/1.98 (define @t355 () (forall @t129 (or @t354 @t127))) % 1.72/1.98 (define @t356 () (or @t56 @t197 @t355)) % 1.72/1.98 (define @t357 () (tptp.m1_fraenkel @t291 @t222 @t222)) % 1.72/1.98 (define @t358 () (or @t253 @t252 @t250 @t248 @t246 @t357)) % 1.72/1.98 (define @t359 () (and @t341 @t340 @t338)) % 1.72/1.98 (define @t360 () (not @t357)) % 1.72/1.98 (define @t361 () (or @t264 @t360 @t295 @t359)) % 1.72/1.98 (define @t362 () (@list true false false false)) % 1.72/1.98 (define @t363 () (not @t359)) % 1.72/1.98 (define @t364 () (@list @t359)) % 1.72/1.98 (define @t365 () (tptp.r2_hidden @t220 @t221)) % 1.72/1.98 (define @t366 () (tptp.v2_funct_1 @t220)) % 1.72/1.98 (define @t367 () (and @t366 (tptp.v3_group_6 @t220 @t219 @t219))) % 1.72/1.98 (define @t368 () (= @t367 @t365)) % 1.72/1.98 (define @t369 () (not @t338)) % 1.72/1.98 (define @t370 () (not @t339)) % 1.72/1.98 (define @t371 () (not @t340)) % 1.72/1.98 (define @t372 () (not @t341)) % 1.72/1.98 (define @t373 () (or @t372 @t371 @t370 @t369 @t368)) % 1.72/1.98 (define @t374 () (@list false false false false false)) % 1.72/1.98 (define @t375 () (@var "BOUND_VARIABLE_8385" $$unsorted)) % 1.72/1.98 (define @t376 () (tptp.k1_relat_1 @t375)) % 1.72/1.98 (define @t377 () (and (= @t376 (tptp.k2_relat_1 @t375)) (= @t7 @t376))) % 1.72/1.98 (define @t378 () (not (tptp.m2_fraenkel @t375 @t7 @t7 @t71))) % 1.72/1.98 (define @t379 () (or @t378 @t377)) % 1.72/1.98 (define @t380 () (or @t15 @t214 @t213 @t212 @t211 @t379)) % 1.72/1.98 (define @t381 () (forall (@list @t2 @t375) @t380)) % 1.72/1.98 (define @t382 () (@list @t375)) % 1.72/1.98 (define @t383 () (forall @t382 @t380)) % 1.72/1.98 (define @t384 () (forall @t382 @t379)) % 1.72/1.98 (define @t385 () (or @t15 @t214 @t213 @t212 @t211 @t384)) % 1.72/1.98 (define @t386 () (and @t145 (= @t7 @t144))) % 1.72/1.98 (define @t387 () (forall @t9 (or (not @t147) @t386))) % 1.72/1.98 (define @t388 () (or @t15 @t214 @t213 @t212 @t211 @t387)) % 1.72/1.98 (define @t389 () (tptp.k1_relat_1 @t220)) % 1.72/1.98 (define @t390 () (= @t222 @t389)) % 1.72/1.98 (define @t391 () (tptp.k2_relat_1 @t220)) % 1.72/1.98 (define @t392 () (= @t389 @t391)) % 1.72/1.98 (define @t393 () (and @t392 @t390)) % 1.72/1.98 (define @t394 () (or @t253 @t252 @t250 @t248 @t246 @t297 @t393)) % 1.72/1.98 (define @t395 () (not @t393)) % 1.72/1.98 (define @t396 () (@list @t393)) % 1.72/1.98 (define @t397 () (= tptp.k1_xboole_0 @t391)) % 1.72/1.98 (define @t398 () (not @t397)) % 1.72/1.98 (define @t399 () (not @t390)) % 1.72/1.98 (define @t400 () (not @t392)) % 1.72/1.98 (define @t401 () (not @t142)) % 1.72/1.98 (define @t402 () (and @t265 @t390 @t392 @t397 @t142)) % 1.72/1.98 (define @t403 () (or @t224 @t213 @t212 @t211 @t236)) % 1.72/1.98 (define @t404 () (tptp.m1_subset_1 @t241 @t222)) % 1.72/1.98 (define @t405 () (or @t253 @t250 @t248 @t246 @t245 @t404)) % 1.72/1.98 (define @t406 () (tptp.m2_fraenkel @t242 @t222 @t222 @t291)) % 1.72/1.98 (define @t407 () (not @t404)) % 1.72/1.98 (define @t408 () (or @t253 @t252 @t250 @t248 @t246 @t407 @t406)) % 1.72/1.98 (define @t409 () (tptp.m2_relset_1 @t242 @t222 @t222)) % 1.72/1.98 (define @t410 () (tptp.v1_funct_2 @t242 @t222 @t222)) % 1.72/1.98 (define @t411 () (tptp.v1_funct_1 @t242)) % 1.72/1.98 (define @t412 () (and @t411 @t410 @t409)) % 1.72/1.98 (define @t413 () (not @t406)) % 1.72/1.98 (define @t414 () (or @t264 @t360 @t413 @t412)) % 1.72/1.98 (define @t415 () (not @t412)) % 1.72/1.98 (define @t416 () (@list @t412)) % 1.72/1.98 (define @t417 () (not @t91)) % 1.72/1.98 (define @t418 () (not @t92)) % 1.72/1.98 (define @t419 () (not @t93)) % 1.72/1.98 (define @t420 () (not @t94)) % 1.72/1.98 (define @t421 () (or @t420 @t419 @t418 @t417 @t153)) % 1.72/1.98 (define @t422 () (or @t420 @t419 @t418 @t417)) % 1.72/1.98 (define @t423 () (tptp.k1_partfun1 @t222 @t391 @t391 @t222 @t220 @t242)) % 1.72/1.98 (define @t424 () (tptp.k5_relat_1 @t220 @t242)) % 1.72/1.98 (define @t425 () (tptp.m1_relset_1 @t242 @t391 @t222)) % 1.72/1.98 (define @t426 () (not @t425)) % 1.72/1.98 (define @t427 () (not @t411)) % 1.72/1.98 (define @t428 () (tptp.m1_relset_1 @t220 @t222 @t391)) % 1.72/1.98 (define @t429 () (not @t428)) % 1.72/1.98 (define @t430 () (or @t372 @t429 @t427 @t426 (= @t423 @t424))) % 1.72/1.98 (define @t431 () (forall @t96 @t421)) % 1.72/1.98 (define @t432 () (= @t424 @t423)) % 1.72/1.98 (define @t433 () (or @t372 @t429 @t427 @t426 @t432)) % 1.72/1.98 (define @t434 () (tptp.m1_relset_1 @t242 @t222 @t222)) % 1.72/1.98 (define @t435 () (forall @t37 (= @t36 @t134))) % 1.72/1.98 (define @t436 () (= @t434 @t409)) % 1.72/1.98 (define @t437 () (= @t409 @t434)) % 1.72/1.98 (define @t438 () (@list @t435)) % 1.72/1.98 (define @t439 () (forall @t129 (not (tptp.m2_fraenkel @t87 @t222 @t222 @t221)))) % 1.72/1.98 (define @t440 () (@quantifiers_skolemize @t439 0)) % 1.72/1.98 (define @t441 () (not (forall @t129 @t354))) % 1.72/1.98 (define @t442 () (@list @t222 @t222 @t221)) % 1.72/1.98 (define @t443 () (not @t439)) % 1.72/1.98 (define @t444 () (or @t264 @t272 @t443)) % 1.72/1.98 (define @t445 () (tptp.m2_fraenkel @t440 @t222 @t222 @t221)) % 1.72/1.98 (define @t446 () (not @t445)) % 1.72/1.98 (define @t447 () (not @t446)) % 1.72/1.98 (define @t448 () (tptp.k1_relat_1 @t440)) % 1.72/1.98 (define @t449 () (= @t222 @t448)) % 1.72/1.98 (define @t450 () (tptp.k2_relat_1 @t440)) % 1.72/1.98 (define @t451 () (= @t448 @t450)) % 1.72/1.98 (define @t452 () (and @t451 @t449)) % 1.72/1.98 (define @t453 () (or @t253 @t252 @t250 @t248 @t246 @t446 @t452)) % 1.72/1.98 (define @t454 () (not @t452)) % 1.72/1.98 (define @t455 () (@list @t452)) % 1.72/1.98 (define @t456 () (tptp.m1_relset_1 @t220 @t222 @t222)) % 1.72/1.98 (define @t457 () (= @t456 @t338)) % 1.72/1.98 (define @t458 () (= @t338 @t456)) % 1.72/1.98 (define @t459 () (not @t115)) % 1.72/1.98 (define @t460 () (not @t116)) % 1.72/1.98 (define @t461 () (not @t117)) % 1.72/1.98 (define @t462 () (not @t118)) % 1.72/1.98 (define @t463 () (not @t119)) % 1.72/1.98 (define @t464 () (or @t206 @t463 @t462 @t461 @t420 @t460 @t459)) % 1.72/1.98 (define @t465 () (tptp.k7_funct_2 @t222 @t222 @t222 @t220 @t242)) % 1.72/1.98 (define @t466 () (= @t465 @t424)) % 1.72/1.98 (define @t467 () (not @t434)) % 1.72/1.98 (define @t468 () (not @t410)) % 1.72/1.98 (define @t469 () (not @t456)) % 1.72/1.98 (define @t470 () (or @t264 @t372 @t371 @t469 @t427 @t468 @t467 @t466)) % 1.72/1.98 (define @t471 () (@var "BOUND_VARIABLE_8598" $$unsorted)) % 1.72/1.98 (define @t472 () (= @t165 (tptp.k7_funct_2 @t7 @t7 @t7 (tptp.k6_autgroup @t2 @t471) (tptp.k6_autgroup @t2 (tptp.k3_group_1 @t2 @t471))))) % 1.72/1.98 (define @t473 () (not (tptp.m1_subset_1 @t471 @t7))) % 1.72/1.98 (define @t474 () (or @t473 @t472)) % 1.72/1.98 (define @t475 () (or @t15 @t214 @t213 @t212 @t211 @t474)) % 1.72/1.98 (define @t476 () (forall (@list @t2 @t471) @t475)) % 1.72/1.98 (define @t477 () (@list @t471)) % 1.72/1.98 (define @t478 () (forall @t477 @t475)) % 1.72/1.98 (define @t479 () (forall @t477 @t474)) % 1.72/1.98 (define @t480 () (or @t15 @t214 @t213 @t212 @t211 @t479)) % 1.72/1.98 (define @t481 () (= @t165 @t168)) % 1.72/1.98 (define @t482 () (forall @t9 (or @t236 @t481))) % 1.72/1.98 (define @t483 () (or @t15 @t214 @t213 @t212 @t211 @t482)) % 1.72/1.98 (define @t484 () (tptp.k6_autgroup @t219 (tptp.k2_group_1 @t219))) % 1.72/1.98 (define @t485 () (= @t484 @t465)) % 1.72/1.98 (define @t486 () (or @t253 @t252 @t250 @t248 @t246 @t245 @t485)) % 1.72/1.98 (define @t487 () (tptp.k6_partfun1 @t222)) % 1.72/1.98 (define @t488 () (= @t484 @t487)) % 1.72/1.98 (define @t489 () (or @t253 @t252 @t250 @t248 @t246 @t488)) % 1.72/1.98 (define @t490 () (@list @t219 @t242)) % 1.72/1.98 (define @t491 () (tptp.m2_fraenkel @t242 @t222 @t222 @t221)) % 1.72/1.98 (define @t492 () (or @t253 @t252 @t250 @t248 @t246 @t413 @t491)) % 1.72/1.98 (define @t493 () (tptp.k1_relat_1 @t242)) % 1.72/1.98 (define @t494 () (= @t222 @t493)) % 1.72/1.98 (define @t495 () (tptp.k2_relat_1 @t242)) % 1.72/1.98 (define @t496 () (= @t493 @t495)) % 1.72/1.98 (define @t497 () (and @t496 @t494)) % 1.72/1.98 (define @t498 () (not @t491)) % 1.72/1.98 (define @t499 () (or @t253 @t252 @t250 @t248 @t246 @t498 @t497)) % 1.72/1.98 (define @t500 () (not @t497)) % 1.72/1.98 (define @t501 () (@list @t497)) % 1.72/1.98 (define @t502 () (tptp.v1_funct_2 @t220 @t222 @t391)) % 1.72/1.98 (define @t503 () (tptp.m2_relset_1 @t220 @t222 @t391)) % 1.72/1.98 (define @t504 () (tptp.m2_relset_1 @t242 @t391 @t222)) % 1.72/1.98 (define @t505 () (tptp.v1_funct_2 @t242 @t391 @t222)) % 1.72/1.98 (define @t506 () (@var "BOUND_VARIABLE_8644" $$unsorted)) % 1.72/1.98 (define @t507 () (= @t175 @t506)) % 1.72/1.98 (define @t508 () (not (= @t111 (tptp.k1_partfun1 @t2 @t181 @t181 @t2 @t31 @t506)))) % 1.72/1.98 (define @t509 () (not (tptp.m2_relset_1 @t506 @t181 @t2))) % 1.72/1.98 (define @t510 () (not (tptp.v1_funct_2 @t506 @t181 @t2))) % 1.72/1.98 (define @t511 () (not (tptp.v1_funct_1 @t506))) % 1.72/1.98 (define @t512 () (= tptp.k1_xboole_0 @t181)) % 1.72/1.98 (define @t513 () (not @t45)) % 1.72/1.98 (define @t514 () (not (tptp.m2_relset_1 @t31 @t2 @t181))) % 1.72/1.98 (define @t515 () (not (tptp.v1_funct_2 @t31 @t2 @t181))) % 1.72/1.98 (define @t516 () (or @t303 @t515 @t514 @t513 @t178 @t512 @t511 @t510 @t509 @t508 @t507)) % 1.72/1.98 (define @t517 () (not (= @t181 @t181))) % 1.72/1.98 (define @t518 () (or @t303 @t515 @t514 @t517 @t513 @t178 (= @t181 tptp.k1_xboole_0) @t511 @t510 @t509 @t508 @t507)) % 1.72/1.98 (define @t519 () (@list @t2 @t31 @t506)) % 1.72/1.98 (define @t520 () (not (= @t111 (tptp.k1_partfun1 @t2 @t1 @t1 @t2 @t31 @t506)))) % 1.72/1.98 (define @t521 () (not (tptp.m2_relset_1 @t506 @t1 @t2))) % 1.72/1.98 (define @t522 () (not (tptp.v1_funct_2 @t506 @t1 @t2))) % 1.72/1.98 (define @t523 () (= @t1 @t181)) % 1.72/1.98 (define @t524 () (not @t523)) % 1.72/1.98 (define @t525 () (not @t134)) % 1.72/1.98 (define @t526 () (not @t32)) % 1.72/1.98 (define @t527 () (or @t524 @t303 @t526 @t525 @t524 @t513 @t178 @t177 @t511 @t522 @t521 @t520 @t507)) % 1.72/1.98 (define @t528 () (or @t303 @t526 @t525 @t524 @t513 @t178 @t177 @t511 @t522 @t521 @t520 @t507)) % 1.72/1.98 (define @t529 () (forall @t9 @t528)) % 1.72/1.98 (define @t530 () (forall @t519 @t529)) % 1.72/1.98 (define @t531 () (forall (@list @t2 @t31 @t506 @t1) @t528)) % 1.72/1.98 (define @t532 () (@list @t2 @t1 @t31 @t506)) % 1.72/1.98 (define @t533 () (= @t506 @t175)) % 1.72/1.98 (define @t534 () (or @t303 @t526 @t525 @t524 @t513 @t178 @t177 @t511 @t522 @t521 @t520 @t533)) % 1.72/1.98 (define @t535 () (or @t511 @t522 @t521 @t520 @t533)) % 1.72/1.98 (define @t536 () (or @t303 @t526 @t525 @t524 @t513 @t178 @t177 @t535)) % 1.72/1.98 (define @t537 () (forall @t532 @t536)) % 1.72/1.98 (define @t538 () (@list @t506)) % 1.72/1.98 (define @t539 () (forall @t538 @t536)) % 1.72/1.98 (define @t540 () (forall @t538 @t535)) % 1.72/1.98 (define @t541 () (or @t303 @t526 @t525 @t524 @t513 @t178 @t177 @t540)) % 1.72/1.98 (define @t542 () (= @t111 @t180)) % 1.72/1.98 (define @t543 () (not @t542)) % 1.72/1.98 (define @t544 () (not @t184)) % 1.72/1.98 (define @t545 () (not @t185)) % 1.72/1.98 (define @t546 () (or @t463 @t545 @t544 @t543 @t176)) % 1.72/1.98 (define @t547 () (forall @t129 @t546)) % 1.72/1.98 (define @t548 () (or @t303 @t526 @t525 @t524 @t513 @t178 @t177 @t547)) % 1.72/1.98 (define @t549 () (or @t524 @t513 @t178 @t177 @t547)) % 1.72/1.98 (define @t550 () (or @t303 @t526 @t525)) % 1.72/1.98 (define @t551 () (or @t524 @t513 @t178 @t177 @t546)) % 1.72/1.98 (define @t552 () (or @t463 @t545 @t544 @t524 @t543 @t513 @t178 @t177 @t176)) % 1.72/1.98 (define @t553 () (or @t524 @t543 @t513 @t178 @t177 @t176)) % 1.72/1.98 (define @t554 () (or @t463 @t545 @t544)) % 1.72/1.98 (define @t555 () (or @t524 @t543 @t513)) % 1.72/1.98 (define @t556 () (and @t523 @t542 @t45)) % 1.72/1.98 (define @t557 () (=> @t556 @t179)) % 1.72/1.98 (define @t558 () (= @t487 @t423)) % 1.72/1.98 (define @t559 () (not @t558)) % 1.72/1.98 (define @t560 () (not @t504)) % 1.72/1.98 (define @t561 () (not @t505)) % 1.72/1.98 (define @t562 () (not @t366)) % 1.72/1.98 (define @t563 () (not @t503)) % 1.72/1.98 (define @t564 () (not @t502)) % 1.72/1.98 (define @t565 () (or @t372 @t564 @t563 @t562 (= @t222 tptp.k1_xboole_0) @t397 @t427 @t561 @t560 @t559 (= @t240 @t242))) % 1.72/1.98 (define @t566 () (forall @t519 @t516)) % 1.72/1.98 (define @t567 () (= tptp.k1_xboole_0 @t222)) % 1.72/1.98 (define @t568 () (or @t372 @t564 @t563 @t562 @t567 @t397 @t427 @t561 @t560 @t559 @t243)) % 1.72/1.98 (define @t569 () (and @t392 @t390 @t567)) % 1.72/1.98 (define @t570 () (not @t367)) % 1.72/1.98 (define @t571 () (not @t365)) % 1.72/1.98 (define @t572 () (@list true false)) % 1.72/1.98 (define @t573 () (tptp.v1_xboole_0 @t221)) % 1.72/1.98 (define @t574 () (not @t573)) % 1.72/1.98 (define @t575 () (and @t574 (tptp.v1_fraenkel @t221))) % 1.72/1.98 (define @t576 () (or @t272 @t575)) % 1.72/1.98 (define @t577 () (not @t269)) % 1.72/1.98 (define @t578 () (or @t577 @t573 @t365)) % 1.72/1.98 (define @t579 () (not @t578)) % 1.72/1.98 (define @t580 () (forall @t24 @t194)) % 1.72/1.98 (assume @p1 @t21) % 1.72/1.98 (assume @p2 (forall @t19 (=> @t11 (=> @t14 (= @t2 (tptp.g1_group_1 @t7 @t22)))))) % 1.72/1.98 (assume @p3 (forall @t24 (=> @t23 (not (tptp.r2_hidden @t1 @t2))))) % 1.72/1.98 (assume @p4 (forall @t19 (=> @t28 (forall @t9 (=> @t27 (and @t26 @t25)))))) % 1.72/1.98 (assume @p5 (forall @t19 (=> @t30 @t29))) % 1.72/1.98 (assume @p6 (forall @t37 (=> @t36 (=> (and @t33 @t35) @t34)))) % 1.72/1.98 (assume @p7 (forall @t19 (=> @t11 (=> (and @t16 @t13) (and @t16 @t38))))) % 1.72/1.98 (assume @p8 (forall @t19 (=> (and @t39 (tptp.v3_relat_2 @t2) (tptp.v8_relat_2 @t2)) (and @t39 (tptp.v1_relat_2 @t2))))) % 1.72/1.98 (assume @p9 (forall @t37 (=> @t41 @t40))) % 1.72/1.98 (assume @p10 (forall @t19 (=> @t44 @t43))) % 1.72/1.98 (assume @p11 (forall @t37 (=> @t36 (=> @t47 @t46)))) % 1.72/1.98 (assume @p12 (forall @t37 (=> @t36 (=> @t46 @t47)))) % 1.72/1.98 (assume @p13 (forall @t24 (=> @t54 (=> (and @t25 @t53 @t52 @t50) (and @t25 @t51 @t50 @t49 @t48))))) % 1.72/1.98 (assume @p14 (forall @t24 (=> @t57 (forall @t55 (=> @t36 (=> @t34 (and @t33 @t35 @t32))))))) % 1.72/1.98 (assume @p15 (forall @t24 (=> (and @t60 @t57) (forall @t55 (=> @t36 (=> @t34 (and @t33 @t59 @t35 @t32))))))) % 1.72/1.98 (assume @p16 @t78) % 1.72/1.98 (assume @p17 (forall @t24 (=> @t84 (and @t80 (tptp.l1_group_1 @t79))))) % 1.72/1.98 (assume @p18 @t86) % 1.72/1.98 (assume @p19 (forall @t96 (=> @t95 (and (tptp.v1_funct_1 @t90) (tptp.m2_relset_1 @t90 @t2 @t87))))) % 1.72/1.98 (assume @p20 true) % 1.72/1.98 (assume @p21 (forall @t19 (=> @t98 (and (tptp.v1_relat_1 @t97) (tptp.v1_funct_1 @t97))))) % 1.72/1.98 (assume @p22 (forall @t19 (=> (and @t16 @t11) (tptp.m1_subset_1 @t99 @t7)))) % 1.72/1.98 (assume @p23 @t102) % 1.72/1.98 (assume @p24 @t105) % 1.72/1.98 (assume @p25 (forall @t24 (=> (and @t39 @t26) @t107))) % 1.72/1.98 (assume @p26 @t110) % 1.72/1.98 (assume @p27 (forall @t19 (and (tptp.v1_partfun1 @t111 @t2 @t2) (tptp.m2_relset_1 @t111 @t2 @t2)))) % 1.72/1.98 (assume @p28 (forall @t19 @t113)) % 1.72/1.98 (assume @p29 (forall @t121 (=> @t120 (and (tptp.v1_funct_1 @t114) (tptp.v1_funct_2 @t114 @t2 @t31) (tptp.m2_relset_1 @t114 @t2 @t31))))) % 1.72/1.98 (assume @p30 @t123) % 1.72/1.98 (assume @p31 @t126) % 1.72/1.98 (assume @p32 @t133) % 1.72/1.98 (assume @p33 (forall @t37 (=> @t134 @t41))) % 1.72/1.98 (assume @p34 (forall @t19 (=> @t11 (and (tptp.v1_funct_1 @t22) (tptp.v1_funct_2 @t22 @t135 @t7) (tptp.m2_relset_1 @t22 @t135 @t7))))) % 1.72/1.98 (assume @p35 (exists @t19 @t11)) % 1.72/1.98 (assume @p36 (exists @t19 @t122)) % 1.72/1.98 (assume @p37 (forall @t24 (exists @t55 @t125))) % 1.72/1.98 (assume @p38 (forall @t24 (exists @t55 @t36))) % 1.72/1.98 (assume @p39 (forall @t19 (exists @t9 @t27))) % 1.72/1.98 (assume @p40 @t138) % 1.72/1.98 (assume @p41 (forall @t24 (exists @t55 @t134))) % 1.72/1.98 (assume @p42 (forall @t24 (=> (and @t39 @t29 @t26 @t25) (and @t107 (tptp.v1_funct_1 @t106))))) % 1.72/1.98 (assume @p43 (forall @t24 (=> (and @t60 @t25 @t83 @t82) (and (not (tptp.v3_struct_0 @t79)) @t80)))) % 1.72/1.98 (assume @p44 @t141) % 1.72/1.98 (assume @p45 @t142) % 1.72/1.98 (assume @p46 (forall @t19 (and @t113 @t143))) % 1.72/1.98 (assume @p47 (forall @t19 (and @t113 @t143 (tptp.v1_relat_2 @t112) (tptp.v3_relat_2 @t112) (tptp.v4_relat_2 @t112) (tptp.v8_relat_2 @t112)))) % 1.72/1.98 (assume @p48 (forall @t24 (=> @t84 (forall (@list @t31 @t87) (=> (= @t79 (tptp.g1_group_1 @t31 @t87)) (and (= @t2 @t31) (= @t1 @t87))))))) % 1.72/1.98 (assume @p49 @t151) % 1.72/1.98 (assume @p50 (exists @t19 (and @t60 @t28))) % 1.72/1.98 (assume @p51 (exists @t19 @t98)) % 1.72/1.98 (assume @p52 (forall @t24 (exists @t55 (and @t36 @t40 @t33 @t32)))) % 1.72/1.98 (assume @p53 (exists @t19 (and @t11 @t14))) % 1.72/1.98 (assume @p54 (exists @t19 (and @t39 @t29 @t42 @t30))) % 1.72/1.98 (assume @p55 (exists @t19 @t30)) % 1.72/1.98 (assume @p56 (exists @t19 @t44)) % 1.72/1.98 (assume @p57 (forall @t19 (exists @t9 (and @t54 @t26 @t25 @t51 @t50 @t49 @t48)))) % 1.72/1.98 (assume @p58 (exists @t19 (and @t11 @t16 @t14))) % 1.72/1.98 (assume @p59 (forall @t24 (=> (and @t16 @t13 @t12 @t11 (not (tptp.v3_struct_0 @t1)) (tptp.v3_group_1 @t1) (tptp.v4_group_1 @t1) (tptp.l1_group_1 @t1)) (exists @t55 (and (tptp.m1_relset_1 @t31 @t7 @t152) @t59 @t40 @t33 (tptp.v1_funct_2 @t31 @t7 @t152) (tptp.v1_partfun1 @t31 @t7 @t152) (tptp.v1_group_6 @t31 @t2 @t1)))))) % 1.72/1.98 (assume @p60 (forall @t24 (exists @t55 (and @t36 @t40 @t33)))) % 1.72/1.98 (assume @p61 (exists @t19 @t60)) % 1.72/1.98 (assume @p62 (exists @t19 @t43)) % 1.72/1.98 (assume @p63 (exists @t19 (and @t11 @t16 @t14 @t38 @t13 @t12))) % 1.72/1.98 (assume @p64 (forall @t19 (exists @t9 (and @t54 @t26 @t52 (tptp.v3_relat_2 @t1) (tptp.v4_relat_2 @t1) (tptp.v8_relat_2 @t1) @t53)))) % 1.72/1.98 (assume @p65 (exists @t19 (and @t122 @t16))) % 1.72/1.98 (assume @p66 (forall @t19 (=> @t140 (exists @t9 (and (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t7)) @t57))))) % 1.72/1.98 (assume @p67 @t154) % 1.72/1.98 (assume @p68 (forall @t19 (= @t111 @t112))) % 1.72/1.98 (assume @p69 @t156) % 1.72/1.98 (assume @p70 @t158) % 1.72/1.98 (assume @p71 @t159) % 1.72/1.98 (assume @p72 (forall @t24 (tptp.r1_tarski @t2 @t2))) % 1.72/1.98 (assume @p73 @t163) % 1.72/1.98 (assume @p74 (forall @t24 (=> @t23 @t164))) % 1.72/1.98 (assume @p75 @t167) % 1.72/1.98 (assume @p76 @t172) % 1.72/1.98 (assume @p77 @t174) % 1.72/1.98 (assume @p78 @t191) % 1.72/1.98 (assume @p79 (forall @t24 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t2 @t1)))) % 1.72/1.98 (assume @p80 (forall @t37 (=> (and @t23 @t192) (tptp.m1_subset_1 @t2 @t31)))) % 1.72/1.98 (assume @p81 (forall @t37 (not (and @t23 @t192 @t58)))) % 1.72/1.98 (assume @p82 (forall @t19 (=> @t30 @t178))) % 1.72/1.98 (assume @p83 (forall @t24 (not (and @t23 @t56)))) % 1.72/1.98 (assume @p84 (forall @t24 (not (and @t30 (not (= @t2 @t1)) @t56)))) % 1.72/1.98 (step @p85 :rule aci_norm :args ((= (or @t193 @t173) @t194))) % 1.72/1.98 (step @p86 :rule bool-impl-elim :args (@t164 @t173)) % 1.72/1.98 (step @p87 :rule trans :premises (@p86 @p85)) % 1.72/1.98 (step @p88 :rule cong :premises (@p87) :args (@t174)) % 1.72/1.98 (step @p89 :rule eq_resolve :premises (@p77 @p88)) % 1.72/1.98 (step @p90 :rule quant-merge-prenex :args ((= (forall @t37 @t200) (forall (@list @t2 @t1 @t31 @t195) @t198)))) % 1.72/1.98 (step @p91 :rule alpha_equiv :args (@t201 (@list @t195) @t202)) % 1.72/1.98 (step @p92 :rule refl :args (@t197)) % 1.72/1.98 (step @p93 :rule refl :args (@t56)) % 1.72/1.98 (step @p94 :rule nary_cong :premises (@p93 @p92 @p91) :args (@t203)) % 1.72/1.98 (step @p95 :rule quant-miniscope-or :args ((= @t200 @t203))) % 1.72/1.98 (step @p96 :rule trans :premises (@p95 @p94)) % 1.72/1.98 (step @p97 :rule symm :premises (@p96)) % 1.72/1.98 (step @p98 :rule cong :premises (@p97) :args ((forall @t37 @t204))) % 1.72/1.98 (step @p99 :rule trans :premises (@p98 @p90)) % 1.72/1.98 (step @p100 :rule aci_norm :args ((= (or @t205 @t157) @t204))) % 1.72/1.98 (step @p101 :rule refl :args (@t157)) % 1.72/1.98 (step @p102 :rule bool-double-not-elim :args (@t56)) % 1.72/1.98 (step @p103 :rule nary_cong :premises (@p102 @p92) :args ((or @t206 @t197))) % 1.72/1.98 (step @p104 :rule bool-and-de-morgan :args (@t57 @t125 true)) % 1.72/1.98 (step @p105 :rule trans :premises (@p104 @p103)) % 1.72/1.98 (step @p106 :rule nary_cong :premises (@p105 @p101) :args ((or @t207 @t157))) % 1.72/1.98 (step @p107 :rule trans :premises (@p106 @p100)) % 1.72/1.98 (step @p108 :rule bool-impl-elim :args (@t131 @t157)) % 1.72/1.98 (step @p109 :rule trans :premises (@p108 @p107)) % 1.72/1.98 (step @p110 :rule cong :premises (@p109) :args (@t158)) % 1.72/1.98 (step @p111 :rule trans :premises (@p110 @p99)) % 1.72/1.98 (step @p112 :rule eq_resolve :premises (@p70 @p111)) % 1.72/1.98 (step @p113 :rule instantiate :premises (@p112) :args ((@list @t222 @t222 @t221 @t220))) % 1.72/1.98 (step @p114 :rule aci_norm :args ((= (or @t223 @t85) (or @t15 @t214 @t213 @t212 @t211 @t85)))) % 1.72/1.98 (step @p115 :rule refl :args (@t85)) % 1.72/1.98 (step @p116 :rule refl :args (@t211)) % 1.72/1.98 (step @p117 :rule refl :args (@t212)) % 1.72/1.98 (step @p118 :rule refl :args (@t213)) % 1.72/1.98 (step @p119 :rule refl :args (@t214)) % 1.72/1.98 (step @p120 :rule bool-double-not-elim :args (@t15)) % 1.72/1.98 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118 @p117 @p116) :args (@t225)) % 1.72/1.98 (step @p122 :rule aci_norm :args ((= (or @t224 (or @t214 (or @t213 (or @t212 @t211)))) @t225))) % 1.72/1.98 (step @p123 :rule trans :premises (@p122 @p121)) % 1.72/1.98 (step @p124 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 1.72/1.98 (step @p125 :rule nary_cong :premises (@p118 @p124) :args ((or @t213 (not (and @t12 @t11))))) % 1.72/1.98 (step @p126 :rule bool-and-de-morgan :args (@t13 @t12 (and @t11))) % 1.72/1.98 (step @p127 :rule trans :premises (@p126 @p125)) % 1.72/1.98 (step @p128 :rule nary_cong :premises (@p119 @p127) :args ((or @t214 (not (and @t13 @t12 @t11))))) % 1.72/1.98 (step @p129 :rule bool-and-de-morgan :args (@t14 @t13 (and @t12 @t11))) % 1.72/1.98 (step @p130 :rule trans :premises (@p129 @p128)) % 1.72/1.98 (step @p131 :rule refl :args (@t224)) % 1.72/1.98 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or @t224 (not (and @t14 @t13 @t12 @t11))))) % 1.72/1.98 (step @p133 :rule bool-and-de-morgan :args (@t16 @t14 (and @t13 @t12 @t11))) % 1.72/1.98 (step @p134 :rule trans :premises (@p133 @p132)) % 1.72/1.98 (step @p135 :rule trans :premises (@p134 @p123)) % 1.72/1.98 (step @p136 :rule nary_cong :premises (@p135 @p115) :args ((or @t226 @t85))) % 1.72/1.98 (step @p137 :rule trans :premises (@p136 @p114)) % 1.72/1.98 (step @p138 :rule bool-impl-elim :args (@t17 @t85)) % 1.72/1.98 (step @p139 :rule trans :premises (@p138 @p137)) % 1.72/1.98 (step @p140 :rule cong :premises (@p139) :args (@t86)) % 1.72/1.98 (step @p141 :rule eq_resolve :premises (@p18 @p140)) % 1.72/1.98 (step @p142 :rule instantiate :premises (@p141) :args (@t227)) % 1.72/1.98 (step @p143 :rule aci_norm :args ((= @t229 @t215))) % 1.72/1.98 (step @p144 :rule cong :premises (@p143) :args (@t230)) % 1.72/1.98 (step @p145 :rule quant-merge-prenex :args ((= (forall @t19 @t232) @t230))) % 1.72/1.98 (step @p146 :rule alpha_equiv :args (@t233 (@list @t208) @t234)) % 1.72/1.98 (step @p147 :rule refl :args (@t15)) % 1.72/1.98 (step @p148 :rule nary_cong :premises (@p147 @p119 @p118 @p117 @p116 @p146) :args (@t235)) % 1.72/1.98 (step @p149 :rule quant-miniscope-or :args ((= @t232 @t235))) % 1.72/1.98 (step @p150 :rule trans :premises (@p149 @p148)) % 1.72/1.98 (step @p151 :rule symm :premises (@p150)) % 1.72/1.98 (step @p152 :rule cong :premises (@p151) :args ((forall @t19 @t238))) % 1.72/1.98 (step @p153 :rule trans :premises (@p152 @p145)) % 1.72/1.98 (step @p154 :rule trans :premises (@p153 @p144)) % 1.72/1.98 (step @p155 :rule aci_norm :args ((= (or @t223 @t237) @t238))) % 1.72/1.98 (step @p156 :rule refl :args (@t237)) % 1.72/1.98 (step @p157 :rule nary_cong :premises (@p135 @p156) :args ((or @t226 @t237))) % 1.72/1.98 (step @p158 :rule trans :premises (@p157 @p155)) % 1.72/1.98 (step @p159 :rule bool-impl-elim :args (@t17 @t237)) % 1.72/1.98 (step @p160 :rule trans :premises (@p159 @p158)) % 1.72/1.98 (step @p161 :rule cong :premises (@p160) :args ((forall @t19 (=> @t17 @t237)))) % 1.72/1.98 (step @p162 :rule trans :premises (@p161 @p154)) % 1.72/1.98 (step @p163 :rule bool-impl-elim :args (@t8 @t6)) % 1.72/1.98 (step @p164 :rule cong :premises (@p163) :args (@t10)) % 1.72/1.98 (step @p165 :rule refl :args (@t17)) % 1.72/1.98 (step @p166 :rule cong :premises (@p165 @p164) :args (@t18)) % 1.72/1.98 (step @p167 :rule cong :premises (@p166) :args (@t20)) % 1.72/1.98 (step @p168 :rule trans :premises (@p167 @p162)) % 1.72/1.98 (step @p169 :rule cong :premises (@p168) :args (@t21)) % 1.72/1.98 (step @p170 :rule eq_resolve :premises (@p1 @p169)) % 1.72/1.98 (step @p171 :rule skolemize :premises (@p170)) % 1.72/1.98 (step @p172 :rule bool-double-not-elim :args (@t239)) % 1.72/1.98 (step @p173 :rule refl :args (@t254)) % 1.72/1.98 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or @t254 (not @t246)))) % 1.72/1.98 (step @p175 :rule cnf_or_neg :args (@t254 4)) % 1.72/1.98 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 1.72/1.98 (step @p177 :rule reordering :premises (@p176) :args ((or @t239 @t254))) % 1.72/1.98 (step @p178 :rule chain_m_resolution :premises (@p177 @p171) :args (@t239 @t255 @t256)) % 1.72/1.98 (step @p179 :rule bool-double-not-elim :args (@t247)) % 1.72/1.98 (step @p180 :rule nary_cong :premises (@p173 @p179) :args ((or @t254 (not @t248)))) % 1.72/1.98 (step @p181 :rule cnf_or_neg :args (@t254 3)) % 1.72/1.98 (step @p182 :rule eq_resolve :premises (@p181 @p180)) % 1.72/1.98 (step @p183 :rule reordering :premises (@p182) :args ((or @t247 @t254))) % 1.72/1.98 (step @p184 :rule chain_m_resolution :premises (@p183 @p171) :args (@t247 @t255 @t256)) % 1.72/1.98 (step @p185 :rule bool-double-not-elim :args (@t249)) % 1.72/1.98 (step @p186 :rule nary_cong :premises (@p173 @p185) :args ((or @t254 (not @t250)))) % 1.72/1.98 (step @p187 :rule cnf_or_neg :args (@t254 2)) % 1.72/1.98 (step @p188 :rule eq_resolve :premises (@p187 @p186)) % 1.72/1.98 (step @p189 :rule reordering :premises (@p188) :args ((or @t249 @t254))) % 1.72/1.98 (step @p190 :rule chain_m_resolution :premises (@p189 @p171) :args (@t249 @t255 @t256)) % 1.72/1.98 (step @p191 :rule bool-double-not-elim :args (@t251)) % 1.72/1.98 (step @p192 :rule nary_cong :premises (@p173 @p191) :args ((or @t254 (not @t252)))) % 1.72/1.98 (step @p193 :rule cnf_or_neg :args (@t254 1)) % 1.72/1.98 (step @p194 :rule eq_resolve :premises (@p193 @p192)) % 1.72/1.98 (step @p195 :rule reordering :premises (@p194) :args ((or @t251 @t254))) % 1.72/1.98 (step @p196 :rule chain_m_resolution :premises (@p195 @p171) :args (@t251 @t255 @t256)) % 1.72/1.98 (step @p197 :rule cnf_or_neg :args (@t254 0)) % 1.72/1.98 (step @p198 :rule chain_m_resolution :premises (@p197 @p171) :args ((not @t253) @t255 @t256)) % 1.72/1.98 (step @p199 :rule cnf_or_pos :args (@t258)) % 1.72/1.98 (step @p200 :rule reordering :premises (@p199) :args ((or @t253 @t252 @t250 @t248 @t246 @t257 (not @t258)))) % 1.72/1.98 (step @p201 :rule chain_m_resolution :premises (@p200 @p198 @p196 @p190 @p184 @p178 @p142) :args (@t257 @t259 (@list @t253 @t251 @t249 @t247 @t239 @t258))) % 1.72/1.98 (step @p202 :rule aci_norm :args ((= (or (or @t15 @t260) @t139) (or @t15 @t260 @t139)))) % 1.72/1.98 (step @p203 :rule refl :args (@t139)) % 1.72/1.98 (step @p204 :rule refl :args (@t260)) % 1.72/1.98 (step @p205 :rule nary_cong :premises (@p120 @p204) :args ((or @t224 @t260))) % 1.72/1.98 (step @p206 :rule bool-and-de-morgan :args (@t16 @t122 true)) % 1.72/1.98 (step @p207 :rule trans :premises (@p206 @p205)) % 1.72/1.98 (step @p208 :rule nary_cong :premises (@p207 @p203) :args ((or (not @t140) @t139))) % 1.72/1.98 (step @p209 :rule trans :premises (@p208 @p202)) % 1.72/1.98 (step @p210 :rule bool-impl-elim :args (@t140 @t139)) % 1.72/1.98 (step @p211 :rule trans :premises (@p210 @p209)) % 1.72/1.98 (step @p212 :rule cong :premises (@p211) :args (@t141)) % 1.72/1.98 (step @p213 :rule eq_resolve :premises (@p44 @p212)) % 1.72/1.98 (step @p214 :rule instantiate :premises (@p213) :args (@t227)) % 1.72/1.98 (step @p215 :rule bool-impl-elim :args (@t11 @t122)) % 1.72/1.98 (step @p216 :rule cong :premises (@p215) :args (@t123)) % 1.72/1.98 (step @p217 :rule eq_resolve :premises (@p30 @p216)) % 1.72/1.98 (step @p218 :rule instantiate :premises (@p217) :args (@t227)) % 1.72/1.98 (step @p219 :rule cnf_or_pos :args (@t262)) % 1.72/1.98 (step @p220 :rule reordering :premises (@p219) :args ((or @t246 @t261 (not @t262)))) % 1.72/1.98 (step @p221 :rule chain_m_resolution :premises (@p220 @p178 @p218) :args (@t261 @t263 (@list @t239 @t262))) % 1.72/1.98 (step @p222 :rule cnf_or_pos :args (@t267)) % 1.72/1.98 (step @p223 :rule reordering :premises (@p222) :args ((or @t253 @t266 @t265 (not @t267)))) % 1.72/1.98 (step @p224 :rule chain_m_resolution :premises (@p223 @p198 @p221 @p214) :args (@t265 @t268 (@list @t253 @t261 @t267))) % 1.72/1.98 (step @p225 :rule cnf_or_pos :args (@t273)) % 1.72/1.98 (step @p226 :rule reordering :premises (@p225) :args ((or @t264 @t272 @t271 (not @t273)))) % 1.72/1.98 (step @p227 :rule chain_m_resolution :premises (@p226 @p224 @p201 @p113) :args (@t271 @t268 (@list @t264 @t257 @t273))) % 1.72/1.98 (step @p228 :rule aci_norm :args ((= @t278 (or @t15 @t214 @t213 @t212 @t211 @t276 @t275)))) % 1.72/1.98 (step @p229 :rule cong :premises (@p228) :args (@t279)) % 1.72/1.98 (step @p230 :rule quant-merge-prenex :args ((= (forall @t19 @t281) @t279))) % 1.72/1.98 (step @p231 :rule alpha_equiv :args (@t282 (@list @t274) @t234)) % 1.72/1.98 (step @p232 :rule nary_cong :premises (@p147 @p119 @p118 @p117 @p116 @p231) :args (@t283)) % 1.72/1.98 (step @p233 :rule quant-miniscope-or :args ((= @t281 @t283))) % 1.72/1.98 (step @p234 :rule trans :premises (@p233 @p232)) % 1.72/1.98 (step @p235 :rule symm :premises (@p234)) % 1.72/1.98 (step @p236 :rule cong :premises (@p235) :args ((forall @t19 @t285))) % 1.72/1.98 (step @p237 :rule trans :premises (@p236 @p230)) % 1.72/1.98 (step @p238 :rule trans :premises (@p237 @p229)) % 1.72/1.98 (step @p239 :rule aci_norm :args ((= (or @t223 @t284) @t285))) % 1.72/1.98 (step @p240 :rule refl :args (@t284)) % 1.72/1.98 (step @p241 :rule nary_cong :premises (@p135 @p240) :args ((or @t226 @t284))) % 1.72/1.98 (step @p242 :rule trans :premises (@p241 @p239)) % 1.72/1.98 (step @p243 :rule bool-impl-elim :args (@t17 @t284)) % 1.72/1.98 (step @p244 :rule trans :premises (@p243 @p242)) % 1.72/1.98 (step @p245 :rule cong :premises (@p244) :args ((forall @t19 (=> @t17 @t284)))) % 1.72/1.98 (step @p246 :rule trans :premises (@p245 @p238)) % 1.72/1.98 (step @p247 :rule bool-impl-elim :args (@t160 @t147)) % 1.72/1.98 (step @p248 :rule cong :premises (@p247) :args (@t161)) % 1.72/1.98 (step @p249 :rule cong :premises (@p165 @p248) :args (@t162)) % 1.72/1.98 (step @p250 :rule cong :premises (@p249) :args (@t163)) % 1.72/1.98 (step @p251 :rule trans :premises (@p250 @p246)) % 1.72/1.98 (step @p252 :rule eq_resolve :premises (@p73 @p251)) % 1.72/1.98 (step @p253 :rule instantiate :premises (@p252) :args (@t286)) % 1.72/1.98 (step @p254 :rule aci_norm :args ((= (or (or @t15 @t214 @t213 @t212 @t211 @t236) @t108) (or @t15 @t214 @t213 @t212 @t211 @t236 @t108)))) % 1.72/1.98 (step @p255 :rule refl :args (@t108)) % 1.72/1.98 (step @p256 :rule refl :args (@t236)) % 1.72/1.98 (step @p257 :rule nary_cong :premises (@p120 @p119 @p118 @p117 @p116 @p256) :args (@t287)) % 1.72/1.98 (step @p258 :rule aci_norm :args ((= (or @t224 (or @t214 @t288)) @t287))) % 1.72/1.98 (step @p259 :rule trans :premises (@p258 @p257)) % 1.72/1.98 (step @p260 :rule bool-and-de-morgan :args (@t11 @t8 true)) % 1.72/1.98 (step @p261 :rule nary_cong :premises (@p117 @p260) :args ((or @t212 (not (and @t11 @t8))))) % 1.72/1.98 (step @p262 :rule bool-and-de-morgan :args (@t12 @t11 (and @t8))) % 1.72/1.98 (step @p263 :rule trans :premises (@p262 @p261)) % 1.72/1.98 (step @p264 :rule nary_cong :premises (@p118 @p263) :args ((or @t213 (not (and @t12 @t11 @t8))))) % 1.72/1.98 (step @p265 :rule bool-and-de-morgan :args (@t13 @t12 (and @t11 @t8))) % 1.72/1.98 (step @p266 :rule trans :premises (@p265 @p264)) % 1.72/1.98 (step @p267 :rule nary_cong :premises (@p119 @p266) :args ((or @t214 @t289))) % 1.72/1.98 (step @p268 :rule bool-and-de-morgan :args (@t14 @t13 (and @t12 @t11 @t8))) % 1.72/1.98 (step @p269 :rule trans :premises (@p268 @p267)) % 1.72/1.98 (step @p270 :rule nary_cong :premises (@p131 @p269) :args ((or @t224 (not (and @t14 @t13 @t12 @t11 @t8))))) % 1.72/1.98 (step @p271 :rule bool-and-de-morgan :args (@t16 @t14 (and @t13 @t12 @t11 @t8))) % 1.72/1.98 (step @p272 :rule trans :premises (@p271 @p270)) % 1.72/1.98 (step @p273 :rule trans :premises (@p272 @p259)) % 1.72/1.98 (step @p274 :rule nary_cong :premises (@p273 @p255) :args ((or (not @t109) @t108))) % 1.72/1.98 (step @p275 :rule trans :premises (@p274 @p254)) % 1.72/1.98 (step @p276 :rule bool-impl-elim :args (@t109 @t108)) % 1.72/1.98 (step @p277 :rule trans :premises (@p276 @p275)) % 1.72/1.98 (step @p278 :rule cong :premises (@p277) :args (@t110)) % 1.72/1.98 (step @p279 :rule eq_resolve :premises (@p26 @p278)) % 1.72/1.98 (step @p280 :rule instantiate :premises (@p279) :args (@t290)) % 1.72/1.98 (step @p281 :rule bool-double-not-elim :args (@t244)) % 1.72/1.98 (step @p282 :rule nary_cong :premises (@p173 @p281) :args ((or @t254 (not @t245)))) % 1.72/1.98 (step @p283 :rule cnf_or_neg :args (@t254 5)) % 1.72/1.98 (step @p284 :rule eq_resolve :premises (@p283 @p282)) % 1.72/1.98 (step @p285 :rule reordering :premises (@p284) :args ((or @t244 @t254))) % 1.72/1.98 (step @p286 :rule chain_m_resolution :premises (@p285 @p171) :args (@t244 @t255 @t256)) % 1.72/1.98 (step @p287 :rule cnf_or_pos :args (@t293)) % 1.72/1.98 (step @p288 :rule reordering :premises (@p287) :args ((or @t253 @t252 @t250 @t248 @t246 @t245 @t292 (not @t293)))) % 1.72/1.98 (step @p289 :rule chain_m_resolution :premises (@p288 @p198 @p196 @p190 @p184 @p178 @p286 @p280) :args (@t292 @t294 (@list @t253 @t251 @t249 @t247 @t239 @t244 @t293))) % 1.72/1.98 (step @p290 :rule cnf_or_pos :args (@t296)) % 1.72/1.98 (step @p291 :rule reordering :premises (@p290) :args ((or @t253 @t252 @t250 @t248 @t246 @t295 @t270 (not @t296)))) % 1.72/1.98 (step @p292 :rule chain_m_resolution :premises (@p291 @p198 @p196 @p190 @p184 @p178 @p289 @p253) :args (@t270 @t294 (@list @t253 @t251 @t249 @t247 @t239 @t292 @t296))) % 1.72/1.98 (step @p293 :rule cnf_equiv_pos1 :args (@t271)) % 1.72/1.98 (step @p294 :rule reordering :premises (@p293) :args ((or @t297 @t269 (not @t271)))) % 1.72/1.98 (step @p295 :rule chain_m_resolution :premises (@p294 @p292 @p227) :args (@t269 @t263 (@list @t270 @t271))) % 1.72/1.98 (step @p296 :rule eq-symm :args (@t299 @t61)) % 1.72/1.98 (step @p297 :rule refl :args (@t300)) % 1.72/1.98 (step @p298 :rule refl :args (@t301)) % 1.72/1.98 (step @p299 :rule refl :args (@t302)) % 1.72/1.98 (step @p300 :rule refl :args (@t303)) % 1.72/1.98 (step @p301 :rule nary_cong :premises (@p300 @p299 @p298 @p297 @p296) :args (@t304)) % 1.72/1.98 (step @p302 :rule cong :premises (@p301) :args (@t305)) % 1.72/1.98 (step @p303 :rule refl :args (@t306)) % 1.72/1.98 (step @p304 :rule nary_cong :premises (@p303 @p302) :args (@t307)) % 1.72/1.98 (step @p305 :rule eq-symm :args (@t298 @t71)) % 1.72/1.98 (step @p306 :rule cong :premises (@p305 @p304) :args (@t308)) % 1.72/1.98 (step @p307 :rule refl :args (@t309)) % 1.72/1.98 (step @p308 :rule refl :args (@t211)) % 1.72/1.98 (step @p309 :rule refl :args (@t212)) % 1.72/1.98 (step @p310 :rule refl :args (@t213)) % 1.72/1.98 (step @p311 :rule refl :args (@t214)) % 1.72/1.98 (step @p312 :rule refl :args (@t15)) % 1.72/1.98 (step @p313 :rule nary_cong :premises (@p312 @p311 @p310 @p309 @p308 @p307 @p306) :args (@t310)) % 1.72/1.98 (step @p314 :rule aci_norm :args ((= @t312 @t310))) % 1.72/1.98 (step @p315 :rule trans :premises (@p314 @p313)) % 1.72/1.98 (step @p316 :rule cong :premises (@p315) :args (@t314)) % 1.72/1.98 (step @p317 :rule quant-merge-prenex :args ((= (forall @t19 @t316) @t314))) % 1.72/1.98 (step @p318 :rule alpha_equiv :args (@t317 (@list @t298) @t234)) % 1.72/1.98 (step @p319 :rule nary_cong :premises (@p147 @p119 @p118 @p117 @p116 @p318) :args (@t318)) % 1.72/1.98 (step @p320 :rule quant-miniscope-or :args ((= @t316 @t318))) % 1.72/1.98 (step @p321 :rule trans :premises (@p320 @p319)) % 1.72/1.98 (step @p322 :rule symm :premises (@p321)) % 1.72/1.98 (step @p323 :rule cong :premises (@p322) :args ((forall @t19 @t322))) % 1.72/1.98 (step @p324 :rule trans :premises (@p323 @p317)) % 1.72/1.98 (step @p325 :rule trans :premises (@p324 @p316)) % 1.72/1.98 (step @p326 :rule aci_norm :args ((= (or @t223 @t321) @t322))) % 1.72/1.98 (step @p327 :rule refl :args (@t321)) % 1.72/1.98 (step @p328 :rule nary_cong :premises (@p135 @p327) :args ((or @t226 @t321))) % 1.72/1.98 (step @p329 :rule trans :premises (@p328 @p326)) % 1.72/1.98 (step @p330 :rule bool-impl-elim :args (@t17 @t321)) % 1.72/1.98 (step @p331 :rule trans :premises (@p330 @p329)) % 1.72/1.98 (step @p332 :rule cong :premises (@p331) :args ((forall @t19 (=> @t17 @t321)))) % 1.72/1.98 (step @p333 :rule trans :premises (@p332 @p325)) % 1.72/1.98 (step @p334 :rule bool-impl-elim :args (@t74 @t320)) % 1.72/1.98 (step @p335 :rule cong :premises (@p334) :args ((forall @t9 (=> @t74 @t320)))) % 1.72/1.98 (step @p336 :rule aci_norm :args ((= (or @t323 @t62) @t319))) % 1.72/1.98 (step @p337 :rule refl :args (@t62)) % 1.72/1.98 (step @p338 :rule aci_norm :args ((= (or @t303 (or @t302 (or @t301 @t300))) @t323))) % 1.72/1.98 (step @p339 :rule bool-and-de-morgan :args (@t64 @t63 true)) % 1.72/1.98 (step @p340 :rule refl :args (@t302)) % 1.72/1.98 (step @p341 :rule nary_cong :premises (@p340 @p339) :args ((or @t302 (not (and @t64 @t63))))) % 1.72/1.98 (step @p342 :rule bool-and-de-morgan :args (@t65 @t64 (and @t63))) % 1.72/1.98 (step @p343 :rule trans :premises (@p342 @p341)) % 1.72/1.98 (step @p344 :rule refl :args (@t303)) % 1.72/1.98 (step @p345 :rule nary_cong :premises (@p344 @p343) :args ((or @t303 (not (and @t65 @t64 @t63))))) % 1.72/1.98 (step @p346 :rule bool-and-de-morgan :args (@t33 @t65 (and @t64 @t63))) % 1.72/1.98 (step @p347 :rule trans :premises (@p346 @p345)) % 1.72/1.98 (step @p348 :rule trans :premises (@p347 @p338)) % 1.72/1.98 (step @p349 :rule nary_cong :premises (@p348 @p337) :args ((or (not @t66) @t62))) % 1.72/1.98 (step @p350 :rule trans :premises (@p349 @p336)) % 1.72/1.98 (step @p351 :rule bool-impl-elim :args (@t66 @t62)) % 1.72/1.98 (step @p352 :rule trans :premises (@p351 @p350)) % 1.72/1.98 (step @p353 :rule cong :premises (@p352) :args (@t67)) % 1.72/1.98 (step @p354 :rule bool-impl-elim :args (@t68 @t66)) % 1.72/1.98 (step @p355 :rule cong :premises (@p354) :args (@t69)) % 1.72/1.98 (step @p356 :rule nary_cong :premises (@p355 @p353) :args (@t70)) % 1.72/1.98 (step @p357 :rule refl :args (@t72)) % 1.72/1.98 (step @p358 :rule cong :premises (@p357 @p356) :args (@t73)) % 1.72/1.98 (step @p359 :rule refl :args (@t74)) % 1.72/1.98 (step @p360 :rule cong :premises (@p359 @p358) :args (@t75)) % 1.72/1.98 (step @p361 :rule cong :premises (@p360) :args (@t76)) % 1.72/1.98 (step @p362 :rule trans :premises (@p361 @p335)) % 1.72/1.98 (step @p363 :rule cong :premises (@p165 @p362) :args (@t77)) % 1.72/1.98 (step @p364 :rule cong :premises (@p363) :args (@t78)) % 1.72/1.98 (step @p365 :rule trans :premises (@p364 @p333)) % 1.72/1.98 (step @p366 :rule eq_resolve :premises (@p16 @p365)) % 1.72/1.98 (step @p367 :rule bool-eq-true :args (@t329)) % 1.72/1.98 (step @p368 :rule eq-symm :args (true @t329)) % 1.72/1.98 (step @p369 :rule trans :premises (@p368 @p367)) % 1.72/1.98 (step @p370 :rule refl :args (@t329)) % 1.72/1.98 (step @p371 :rule eq-refl :args (@t221)) % 1.72/1.98 (step @p372 :rule cong :premises (@p371 @p370) :args (@t330)) % 1.72/1.98 (step @p373 :rule trans :premises (@p372 @p369)) % 1.72/1.98 (step @p374 :rule refl :args (@t272)) % 1.72/1.98 (step @p375 :rule refl :args (@t246)) % 1.72/1.98 (step @p376 :rule refl :args (@t248)) % 1.72/1.98 (step @p377 :rule refl :args (@t250)) % 1.72/1.98 (step @p378 :rule refl :args (@t252)) % 1.72/1.98 (step @p379 :rule refl :args (@t253)) % 1.72/1.98 (step @p380 :rule nary_cong :premises (@p379 @p378 @p377 @p376 @p375 @p374 @p373) :args (@t331)) % 1.72/1.98 (step @p381 :rule refl :args (@t332)) % 1.72/1.98 (step @p382 :rule cong :premises (@p381 @p380) :args ((=> @t332 @t331))) % 1.72/1.98 (assume-push @p1016 @t332) % 1.72/1.98 (step @p384 :rule instantiate :premises (@p366) :args ((@list @t219 @t221))) % 1.72/1.98 (step-pop @p1017 :rule scope :premises (@p384)) % 1.72/1.98 (step @p385 :rule process_scope :premises (@p1017) :args (@t331)) % 1.72/1.98 (step @p387 :rule eq_resolve :premises (@p385 @p382)) % 1.72/1.98 (step @p388 :rule implies_elim :premises (@p387)) % 1.72/1.98 (step @p389 :rule chain_m_resolution :premises (@p388 @p366) :args (@t333 @t334 (@list @t332))) % 1.72/1.98 (step @p390 :rule cnf_or_pos :args (@t333)) % 1.72/1.98 (step @p391 :rule reordering :premises (@p390) :args ((or @t253 @t252 @t250 @t248 @t246 @t272 @t329 (not @t333)))) % 1.72/1.98 (step @p392 :rule chain_m_resolution :premises (@p391 @p198 @p196 @p190 @p184 @p178 @p201 @p389) :args (@t329 @t294 (@list @t253 @t251 @t249 @t247 @t239 @t257 @t333))) % 1.72/1.98 (step @p393 :rule cnf_and_pos :args (@t329 1)) % 1.72/1.98 (step @p394 :rule reordering :premises (@p393) :args ((or @t327 @t335))) % 1.72/1.98 (step @p395 :rule chain_m_resolution :premises (@p394 @p392) :args (@t327 @t334 @t336)) % 1.72/1.98 (step @p396 :rule instantiate :premises (@p395) :args (@t337)) % 1.72/1.98 (step @p397 :rule cnf_and_pos :args (@t329 0)) % 1.72/1.98 (step @p398 :rule reordering :premises (@p397) :args ((or @t328 @t335))) % 1.72/1.98 (step @p399 :rule chain_m_resolution :premises (@p398 @p392) :args (@t328 @t334 @t336)) % 1.72/1.98 (step @p400 :rule instantiate :premises (@p399) :args (@t337)) % 1.72/1.98 (step @p401 :rule cnf_or_pos :args (@t343)) % 1.72/1.98 (step @p402 :rule reordering :premises (@p401) :args ((or @t297 @t342 (not @t343)))) % 1.72/1.98 (step @p403 :rule chain_m_resolution :premises (@p402 @p292 @p400) :args (@t342 @t263 (@list @t270 @t343))) % 1.72/1.98 (step @p404 :rule cnf_and_pos :args (@t342 2)) % 1.72/1.98 (step @p405 :rule reordering :premises (@p404) :args ((or @t339 (not @t342)))) % 1.72/1.98 (step @p406 :rule chain_m_resolution :premises (@p405 @p403) :args (@t339 @t334 (@list @t342))) % 1.72/1.98 (step @p407 :rule aci_norm :args ((= @t348 (or @t56 @t197 @t346 @t345)))) % 1.72/1.98 (step @p408 :rule cong :premises (@p407) :args (@t349)) % 1.72/1.98 (step @p409 :rule quant-merge-prenex :args ((= (forall @t37 @t351) @t349))) % 1.72/1.98 (step @p410 :rule alpha_equiv :args (@t352 (@list @t344) @t202)) % 1.72/1.98 (step @p411 :rule nary_cong :premises (@p93 @p92 @p410) :args (@t353)) % 1.72/1.98 (step @p412 :rule quant-miniscope-or :args ((= @t351 @t353))) % 1.72/1.98 (step @p413 :rule trans :premises (@p412 @p411)) % 1.72/1.98 (step @p414 :rule symm :premises (@p413)) % 1.72/1.98 (step @p415 :rule cong :premises (@p414) :args ((forall @t37 @t356))) % 1.72/1.98 (step @p416 :rule trans :premises (@p415 @p409)) % 1.72/1.98 (step @p417 :rule trans :premises (@p416 @p408)) % 1.72/1.98 (step @p418 :rule aci_norm :args ((= (or @t205 @t355) @t356))) % 1.72/1.98 (step @p419 :rule refl :args (@t355)) % 1.72/1.98 (step @p420 :rule nary_cong :premises (@p105 @p419) :args ((or @t207 @t355))) % 1.72/1.98 (step @p421 :rule trans :premises (@p420 @p418)) % 1.72/1.98 (step @p422 :rule bool-impl-elim :args (@t131 @t355)) % 1.72/1.98 (step @p423 :rule trans :premises (@p422 @p421)) % 1.72/1.98 (step @p424 :rule cong :premises (@p423) :args ((forall @t37 (=> @t131 @t355)))) % 1.72/1.98 (step @p425 :rule trans :premises (@p424 @p417)) % 1.72/1.98 (step @p426 :rule bool-impl-elim :args (@t128 @t127)) % 1.72/1.98 (step @p427 :rule cong :premises (@p426) :args (@t130)) % 1.72/1.98 (step @p428 :rule refl :args (@t131)) % 1.72/1.98 (step @p429 :rule cong :premises (@p428 @p427) :args (@t132)) % 1.72/1.98 (step @p430 :rule cong :premises (@p429) :args (@t133)) % 1.72/1.98 (step @p431 :rule trans :premises (@p430 @p425)) % 1.72/1.98 (step @p432 :rule eq_resolve :premises (@p32 @p431)) % 1.72/1.98 (step @p433 :rule instantiate :premises (@p432) :args ((@list @t222 @t222 @t291 @t220))) % 1.72/1.98 (step @p434 :rule aci_norm :args ((= (or @t223 @t104) (or @t15 @t214 @t213 @t212 @t211 @t104)))) % 1.72/1.98 (step @p435 :rule refl :args (@t104)) % 1.72/1.98 (step @p436 :rule nary_cong :premises (@p135 @p435) :args ((or @t226 @t104))) % 1.72/1.98 (step @p437 :rule trans :premises (@p436 @p434)) % 1.72/1.98 (step @p438 :rule bool-impl-elim :args (@t17 @t104)) % 1.72/1.98 (step @p439 :rule trans :premises (@p438 @p437)) % 1.72/1.98 (step @p440 :rule cong :premises (@p439) :args (@t105)) % 1.72/1.98 (step @p441 :rule eq_resolve :premises (@p24 @p440)) % 1.72/1.98 (step @p442 :rule instantiate :premises (@p441) :args (@t227)) % 1.72/1.98 (step @p443 :rule cnf_or_pos :args (@t358)) % 1.72/1.98 (step @p444 :rule reordering :premises (@p443) :args ((or @t253 @t252 @t250 @t248 @t246 @t357 (not @t358)))) % 1.72/1.98 (step @p445 :rule chain_m_resolution :premises (@p444 @p198 @p196 @p190 @p184 @p178 @p442) :args (@t357 @t259 (@list @t253 @t251 @t249 @t247 @t239 @t358))) % 1.72/1.98 (step @p446 :rule cnf_or_pos :args (@t361)) % 1.72/1.98 (step @p447 :rule reordering :premises (@p446) :args ((or @t264 @t360 @t295 @t359 (not @t361)))) % 1.72/1.98 (step @p448 :rule chain_m_resolution :premises (@p447 @p224 @p445 @p289 @p433) :args (@t359 @t362 (@list @t264 @t357 @t292 @t361))) % 1.72/1.98 (step @p449 :rule cnf_and_pos :args (@t359 2)) % 1.72/1.98 (step @p450 :rule reordering :premises (@p449) :args ((or @t338 @t363))) % 1.72/1.98 (step @p451 :rule chain_m_resolution :premises (@p450 @p448) :args (@t338 @t334 @t364)) % 1.72/1.98 (step @p452 :rule cnf_and_pos :args (@t359 1)) % 1.72/1.98 (step @p453 :rule reordering :premises (@p452) :args ((or @t340 @t363))) % 1.72/1.98 (step @p454 :rule chain_m_resolution :premises (@p453 @p448) :args (@t340 @t334 @t364)) % 1.72/1.98 (step @p455 :rule cnf_and_pos :args (@t359 0)) % 1.72/1.98 (step @p456 :rule reordering :premises (@p455) :args ((or @t341 @t363))) % 1.72/1.98 (step @p457 :rule chain_m_resolution :premises (@p456 @p448) :args (@t341 @t334 @t364)) % 1.72/1.98 (step @p458 :rule cnf_or_pos :args (@t373)) % 1.72/1.98 (step @p459 :rule reordering :premises (@p458) :args ((or @t372 @t371 @t369 @t370 @t368 (not @t373)))) % 1.72/1.98 (step @p460 :rule chain_m_resolution :premises (@p459 @p457 @p454 @p451 @p406 @p396) :args (@t368 @t374 (@list @t341 @t340 @t338 @t339 @t373))) % 1.72/1.98 (step @p461 :rule aci_norm :args ((= @t380 (or @t15 @t214 @t213 @t212 @t211 @t378 @t377)))) % 1.72/1.98 (step @p462 :rule cong :premises (@p461) :args (@t381)) % 1.72/1.98 (step @p463 :rule quant-merge-prenex :args ((= (forall @t19 @t383) @t381))) % 1.72/1.98 (step @p464 :rule alpha_equiv :args (@t384 (@list @t375) @t234)) % 1.72/1.98 (step @p465 :rule nary_cong :premises (@p147 @p119 @p118 @p117 @p116 @p464) :args (@t385)) % 1.72/1.98 (step @p466 :rule quant-miniscope-or :args ((= @t383 @t385))) % 1.72/1.98 (step @p467 :rule trans :premises (@p466 @p465)) % 1.72/1.98 (step @p468 :rule symm :premises (@p467)) % 1.72/1.98 (step @p469 :rule cong :premises (@p468) :args ((forall @t19 @t388))) % 1.72/1.98 (step @p470 :rule trans :premises (@p469 @p463)) % 1.72/1.98 (step @p471 :rule trans :premises (@p470 @p462)) % 1.72/1.98 (step @p472 :rule aci_norm :args ((= (or @t223 @t387) @t388))) % 1.72/1.98 (step @p473 :rule refl :args (@t387)) % 1.72/1.98 (step @p474 :rule nary_cong :premises (@p135 @p473) :args ((or @t226 @t387))) % 1.72/1.98 (step @p475 :rule trans :premises (@p474 @p472)) % 1.72/1.98 (step @p476 :rule bool-impl-elim :args (@t17 @t387)) % 1.72/1.98 (step @p477 :rule trans :premises (@p476 @p475)) % 1.72/1.98 (step @p478 :rule cong :premises (@p477) :args ((forall @t19 (=> @t17 @t387)))) % 1.72/1.98 (step @p479 :rule trans :premises (@p478 @p471)) % 1.72/1.98 (step @p480 :rule bool-impl-elim :args (@t147 @t386)) % 1.72/1.98 (step @p481 :rule cong :premises (@p480) :args ((forall @t9 (=> @t147 @t386)))) % 1.72/1.98 (step @p482 :rule eq-symm :args (@t144 @t7)) % 1.72/1.98 (step @p483 :rule refl :args (@t145)) % 1.72/1.98 (step @p484 :rule nary_cong :premises (@p483 @p482) :args (@t146)) % 1.72/1.98 (step @p485 :rule refl :args (@t147)) % 1.72/1.98 (step @p486 :rule cong :premises (@p485 @p484) :args (@t148)) % 1.72/1.98 (step @p487 :rule cong :premises (@p486) :args (@t149)) % 1.72/1.98 (step @p488 :rule trans :premises (@p487 @p481)) % 1.72/1.98 (step @p489 :rule cong :premises (@p165 @p488) :args (@t150)) % 1.72/1.98 (step @p490 :rule cong :premises (@p489) :args (@t151)) % 1.72/1.98 (step @p491 :rule trans :premises (@p490 @p479)) % 1.72/1.98 (step @p492 :rule eq_resolve :premises (@p49 @p491)) % 1.72/1.98 (step @p493 :rule instantiate :premises (@p492) :args (@t286)) % 1.72/1.98 (step @p494 :rule cnf_or_pos :args (@t394)) % 1.72/1.98 (step @p495 :rule reordering :premises (@p494) :args ((or @t253 @t252 @t250 @t248 @t246 @t297 @t393 (not @t394)))) % 1.72/1.98 (step @p496 :rule chain_m_resolution :premises (@p495 @p198 @p196 @p190 @p184 @p178 @p292 @p493) :args (@t393 @t294 (@list @t253 @t251 @t249 @t247 @t239 @t270 @t394))) % 1.72/1.98 (step @p497 :rule cnf_and_pos :args (@t393 1)) % 1.72/1.98 (step @p498 :rule reordering :premises (@p497) :args ((or @t390 @t395))) % 1.72/1.98 (step @p499 :rule chain_m_resolution :premises (@p498 @p496) :args (@t390 @t334 @t396)) % 1.72/1.98 (step @p500 :rule cnf_and_pos :args (@t393 0)) % 1.72/1.98 (step @p501 :rule reordering :premises (@p500) :args ((or @t392 @t395))) % 1.72/1.98 (step @p502 :rule chain_m_resolution :premises (@p501 @p496) :args (@t392 @t334 @t396)) % 1.72/1.98 (step @p503 :rule refl :args (@t398)) % 1.72/1.98 (step @p504 :rule refl :args (@t399)) % 1.72/1.98 (step @p505 :rule refl :args (@t400)) % 1.72/1.98 (step @p506 :rule bool-double-not-elim :args (@t264)) % 1.72/1.98 (step @p507 :rule refl :args (@t401)) % 1.72/1.98 (step @p508 :rule nary_cong :premises (@p507 @p506 @p505 @p504 @p503) :args ((or @t401 (not @t265) @t400 @t399 @t398))) % 1.72/1.98 (assume-push @p1018 @t265) % 1.72/1.98 (assume-push @p1019 @t390) % 1.72/1.98 (assume-push @p1020 @t392) % 1.72/1.98 (assume-push @p1021 @t397) % 1.72/1.98 (assume-push @p1022 @t142) % 1.72/1.98 (step @p514 :rule evaluate :args ((= true false))) % 1.72/1.98 (step @p515 :rule false_intro :premises (@p224)) % 1.72/1.98 (step @p516 :rule symm :premises (@p499)) % 1.72/1.98 (step @p517 :rule symm :premises (@p502)) % 1.72/1.98 (step @p518 :rule trans :premises (@p1021 @p517 @p516)) % 1.72/1.98 (step @p519 :rule cong :premises (@p518) :args (@t142)) % 1.72/1.98 (step @p520 :rule true_intro :premises (@p45)) % 1.72/1.98 (step @p521 :rule symm :premises (@p520)) % 1.72/1.98 (step @p522 :rule trans :premises (@p521 @p519 @p515)) % 1.72/1.98 (step @p523 false :rule eq_resolve :premises (@p522 @p514)) % 1.72/1.98 (step-pop @p1023 :rule scope :premises (@p523)) % 1.72/1.98 (step-pop @p1024 :rule scope :premises (@p1023)) % 1.72/1.98 (step-pop @p1025 :rule scope :premises (@p1024)) % 1.72/1.98 (step-pop @p1026 :rule scope :premises (@p1025)) % 1.72/1.98 (step-pop @p1027 :rule scope :premises (@p1026)) % 1.72/1.98 (step @p524 :rule process_scope :premises (@p1027) :args (false)) % 1.72/1.98 (assume-push @p1028 @t142) % 1.72/1.98 (assume-push @p1029 @t265) % 1.72/1.98 (assume-push @p1030 @t392) % 1.72/1.98 (assume-push @p1031 @t390) % 1.72/1.98 (assume-push @p1032 @t397) % 1.72/1.98 (step @p535 :rule and_intro :premises (@p224 @p499 @p502 @p1032 @p45)) % 1.72/1.98 (step-pop @p1033 :rule scope :premises (@p535)) % 1.72/1.98 (step-pop @p1034 :rule scope :premises (@p1033)) % 1.72/1.98 (step-pop @p1035 :rule scope :premises (@p1034)) % 1.72/1.98 (step-pop @p1036 :rule scope :premises (@p1035)) % 1.72/1.98 (step-pop @p1037 :rule scope :premises (@p1036)) % 1.72/1.98 (step @p536 :rule process_scope :premises (@p1037) :args (@t402)) % 1.72/1.98 (step @p542 :rule implies_elim :premises (@p536)) % 1.72/1.98 (step @p543 :rule resolution :premises (@p542 @p524) :args (true @t402)) % 1.72/1.98 (step @p544 :rule not_and :premises (@p543)) % 1.72/1.98 (step @p545 :rule eq_resolve :premises (@p544 @p508)) % 1.72/1.98 (step @p546 :rule chain_m_resolution :premises (@p545 @p45 @p224 @p502 @p499) :args (@t398 (@list false true false false) (@list @t142 @t264 @t392 @t390))) % 1.72/1.98 (step @p547 :rule cnf_or_neg :args (@t254 6)) % 1.72/1.98 (step @p548 :rule chain_m_resolution :premises (@p547 @p171) :args ((not @t243) @t255 @t256)) % 1.72/1.98 (step @p549 :rule instantiate :premises (@p432) :args ((@list @t222 @t222 @t291 @t242))) % 1.72/1.98 (step @p550 :rule instantiate :premises (@p279) :args ((@list @t219 @t241))) % 1.72/1.98 (step @p551 :rule aci_norm :args ((= (or (or @t15 @t213 @t212 @t211 @t236) @t100) (or @t15 @t213 @t212 @t211 @t236 @t100)))) % 1.72/1.98 (step @p552 :rule refl :args (@t100)) % 1.72/1.98 (step @p553 :rule nary_cong :premises (@p120 @p118 @p117 @p116 @p256) :args (@t403)) % 1.72/1.98 (step @p554 :rule aci_norm :args ((= (or @t224 @t288) @t403))) % 1.72/1.98 (step @p555 :rule trans :premises (@p554 @p553)) % 1.72/1.98 (step @p556 :rule nary_cong :premises (@p131 @p266) :args ((or @t224 @t289))) % 1.72/1.98 (step @p557 :rule bool-and-de-morgan :args (@t16 @t13 (and @t12 @t11 @t8))) % 1.72/1.98 (step @p558 :rule trans :premises (@p557 @p556)) % 1.72/1.98 (step @p559 :rule trans :premises (@p558 @p555)) % 1.72/1.98 (step @p560 :rule nary_cong :premises (@p559 @p552) :args ((or (not @t101) @t100))) % 1.72/1.98 (step @p561 :rule trans :premises (@p560 @p551)) % 1.72/1.98 (step @p562 :rule bool-impl-elim :args (@t101 @t100)) % 1.72/1.98 (step @p563 :rule trans :premises (@p562 @p561)) % 1.72/1.98 (step @p564 :rule cong :premises (@p563) :args (@t102)) % 1.72/1.98 (step @p565 :rule eq_resolve :premises (@p23 @p564)) % 1.72/1.98 (step @p566 :rule instantiate :premises (@p565) :args (@t290)) % 1.72/1.98 (step @p567 :rule cnf_or_pos :args (@t405)) % 1.72/1.98 (step @p568 :rule reordering :premises (@p567) :args ((or @t253 @t250 @t248 @t246 @t245 @t404 (not @t405)))) % 1.72/1.98 (step @p569 :rule chain_m_resolution :premises (@p568 @p198 @p190 @p184 @p178 @p286 @p566) :args (@t404 @t259 (@list @t253 @t249 @t247 @t239 @t244 @t405))) % 1.72/1.98 (step @p570 :rule cnf_or_pos :args (@t408)) % 1.72/1.98 (step @p571 :rule reordering :premises (@p570) :args ((or @t253 @t252 @t250 @t248 @t246 @t407 @t406 (not @t408)))) % 1.72/1.98 (step @p572 :rule chain_m_resolution :premises (@p571 @p198 @p196 @p190 @p184 @p178 @p569 @p550) :args (@t406 @t294 (@list @t253 @t251 @t249 @t247 @t239 @t404 @t408))) % 1.72/1.98 (step @p573 :rule cnf_or_pos :args (@t414)) % 1.72/1.98 (step @p574 :rule reordering :premises (@p573) :args ((or @t264 @t360 @t413 @t412 (not @t414)))) % 1.72/1.98 (step @p575 :rule chain_m_resolution :premises (@p574 @p224 @p445 @p572 @p549) :args (@t412 @t362 (@list @t264 @t357 @t406 @t414))) % 1.72/1.98 (step @p576 :rule cnf_and_pos :args (@t412 0)) % 1.72/1.98 (step @p577 :rule reordering :premises (@p576) :args ((or @t411 @t415))) % 1.72/1.98 (step @p578 :rule chain_m_resolution :premises (@p577 @p575) :args (@t411 @t334 @t416)) % 1.72/1.98 (step @p579 :rule aci_norm :args ((= (or @t422 @t153) @t421))) % 1.72/1.98 (step @p580 :rule refl :args (@t153)) % 1.72/1.98 (step @p581 :rule aci_norm :args ((= (or @t420 (or @t419 (or @t418 @t417))) @t422))) % 1.72/1.98 (step @p582 :rule bool-and-de-morgan :args (@t92 @t91 true)) % 1.72/1.98 (step @p583 :rule refl :args (@t419)) % 1.72/1.98 (step @p584 :rule nary_cong :premises (@p583 @p582) :args ((or @t419 (not (and @t92 @t91))))) % 1.72/1.98 (step @p585 :rule bool-and-de-morgan :args (@t93 @t92 (and @t91))) % 1.72/1.98 (step @p586 :rule trans :premises (@p585 @p584)) % 1.72/1.98 (step @p587 :rule refl :args (@t420)) % 1.72/1.98 (step @p588 :rule nary_cong :premises (@p587 @p586) :args ((or @t420 (not (and @t93 @t92 @t91))))) % 1.72/1.98 (step @p589 :rule bool-and-de-morgan :args (@t94 @t93 (and @t92 @t91))) % 1.72/1.98 (step @p590 :rule trans :premises (@p589 @p588)) % 1.72/1.98 (step @p591 :rule trans :premises (@p590 @p581)) % 1.72/1.98 (step @p592 :rule nary_cong :premises (@p591 @p580) :args ((or (not @t95) @t153))) % 1.72/1.98 (step @p593 :rule trans :premises (@p592 @p579)) % 1.72/1.98 (step @p594 :rule bool-impl-elim :args (@t95 @t153)) % 1.72/1.98 (step @p595 :rule trans :premises (@p594 @p593)) % 1.72/1.98 (step @p596 :rule cong :premises (@p595) :args (@t154)) % 1.72/1.98 (step @p597 :rule eq_resolve :premises (@p67 @p596)) % 1.72/1.98 (step @p598 :rule eq-symm :args (@t423 @t424)) % 1.72/1.98 (step @p599 :rule refl :args (@t426)) % 1.72/1.98 (step @p600 :rule refl :args (@t427)) % 1.72/1.98 (step @p601 :rule refl :args (@t429)) % 1.72/1.98 (step @p602 :rule refl :args (@t372)) % 1.72/1.98 (step @p603 :rule nary_cong :premises (@p602 @p601 @p600 @p599 @p598) :args (@t430)) % 1.72/1.98 (step @p604 :rule refl :args (@t431)) % 1.72/1.98 (step @p605 :rule cong :premises (@p604 @p603) :args ((=> @t431 @t430))) % 1.72/1.98 (assume-push @p1038 @t431) % 1.72/1.98 (step @p607 :rule instantiate :premises (@p597) :args ((@list @t222 @t391 @t391 @t222 @t220 @t242))) % 1.72/1.98 (step-pop @p1039 :rule scope :premises (@p607)) % 1.72/1.98 (step @p608 :rule process_scope :premises (@p1039) :args (@t430)) % 1.72/1.98 (step @p610 :rule eq_resolve :premises (@p608 @p605)) % 1.72/1.98 (step @p611 :rule implies_elim :premises (@p610)) % 1.72/1.98 (step @p612 :rule chain_m_resolution :premises (@p611 @p597) :args (@t433 @t334 (@list @t431))) % 1.72/1.98 (step @p613 :rule eq-symm :args (@t134 @t36)) % 1.72/1.98 (step @p614 :rule cong :premises (@p613) :args (@t159)) % 1.72/1.98 (step @p615 :rule eq_resolve :premises (@p71 @p614)) % 1.72/1.98 (step @p616 :rule eq-symm :args (@t434 @t409)) % 1.72/1.98 (step @p617 :rule refl :args (@t435)) % 1.72/1.98 (step @p618 :rule cong :premises (@p617 @p616) :args ((=> @t435 @t436))) % 1.72/1.98 (assume-push @p1040 @t435) % 1.72/1.98 (step @p620 :rule instantiate :premises (@p615) :args ((@list @t222 @t222 @t242))) % 1.72/1.98 (step-pop @p1041 :rule scope :premises (@p620)) % 1.72/1.98 (step @p621 :rule process_scope :premises (@p1041) :args (@t436)) % 1.72/1.98 (step @p623 :rule eq_resolve :premises (@p621 @p618)) % 1.72/1.98 (step @p624 :rule implies_elim :premises (@p623)) % 1.72/1.98 (step @p625 :rule chain_m_resolution :premises (@p624 @p615) :args (@t437 @t334 @t438)) % 1.72/1.98 (step @p626 :rule cnf_and_pos :args (@t412 2)) % 1.72/1.98 (step @p627 :rule reordering :premises (@p626) :args ((or @t409 @t415))) % 1.72/1.98 (step @p628 :rule chain_m_resolution :premises (@p627 @p575) :args (@t409 @t334 @t416)) % 1.72/1.98 (step @p629 :rule cnf_equiv_pos1 :args (@t437)) % 1.72/1.98 (step @p630 :rule reordering :premises (@p629) :args ((or (not @t409) @t434 (not @t437)))) % 1.72/1.98 (step @p631 :rule chain_m_resolution :premises (@p630 @p628 @p625) :args (@t434 @t263 (@list @t409 @t437))) % 1.72/1.98 (step @p632 :rule true_intro :premises (@p631)) % 1.72/1.98 (step @p633 :rule refl :args (@t222)) % 1.72/1.98 (step @p634 :rule instantiate :premises (@p492) :args ((@list @t219 @t440))) % 1.72/1.98 (step @p635 :rule aci_norm :args ((= (or @t205 @t441) (or @t56 @t197 @t441)))) % 1.72/1.98 (step @p636 :rule refl :args (@t441)) % 1.72/1.98 (step @p637 :rule nary_cong :premises (@p105 @p636) :args ((or @t207 @t441))) % 1.72/1.98 (step @p638 :rule trans :premises (@p637 @p635)) % 1.72/1.98 (step @p639 :rule bool-impl-elim :args (@t131 @t441)) % 1.72/1.98 (step @p640 :rule trans :premises (@p639 @p638)) % 1.72/1.98 (step @p641 :rule cong :premises (@p640) :args ((forall @t37 (=> @t131 @t441)))) % 1.72/1.98 (step @p642 :rule exists-elim :args ((= @t136 @t441))) % 1.72/1.98 (step @p643 :rule cong :premises (@p428 @p642) :args (@t137)) % 1.72/1.98 (step @p644 :rule cong :premises (@p643) :args (@t138)) % 1.72/1.98 (step @p645 :rule trans :premises (@p644 @p641)) % 1.72/1.98 (step @p646 :rule eq_resolve :premises (@p40 @p645)) % 1.72/1.98 (step @p647 :rule instantiate :premises (@p646) :args (@t442)) % 1.72/1.98 (step @p648 :rule cnf_or_pos :args (@t444)) % 1.72/1.98 (step @p649 :rule reordering :premises (@p648) :args ((or @t264 @t272 @t443 (not @t444)))) % 1.72/1.98 (step @p650 :rule chain_m_resolution :premises (@p649 @p224 @p201 @p647) :args (@t443 @t268 (@list @t264 @t257 @t444))) % 1.72/1.98 (step @p651 :rule refl :args (@t445)) % 1.72/1.98 (step @p652 :rule bool-double-not-elim :args (@t439)) % 1.72/1.98 (step @p653 :rule nary_cong :premises (@p652 @p651) :args ((or (not @t443) @t445))) % 1.72/1.98 (step @p654 :rule bool-double-not-elim :args (@t445)) % 1.72/1.98 (step @p655 :rule refl :args (@t443)) % 1.72/1.98 (step @p656 :rule cong :premises (@p655 @p654) :args ((=> @t443 @t447))) % 1.72/1.98 (assume-push @p1042 @t443) % 1.72/1.98 (step @p658 :rule skolemize :premises (@p650)) % 1.72/1.98 (step-pop @p1043 :rule scope :premises (@p658)) % 1.72/1.98 (step @p659 :rule process_scope :premises (@p1043) :args (@t447)) % 1.72/1.98 (step @p661 :rule eq_resolve :premises (@p659 @p656)) % 1.72/1.98 (step @p662 :rule implies_elim :premises (@p661)) % 1.72/1.98 (step @p663 :rule eq_resolve :premises (@p662 @p653)) % 1.72/1.98 (step @p664 :rule chain_m_resolution :premises (@p663 @p650) :args (@t445 @t255 (@list @t439))) % 1.72/1.98 (step @p665 :rule cnf_or_pos :args (@t453)) % 1.72/1.98 (step @p666 :rule reordering :premises (@p665) :args ((or @t253 @t252 @t250 @t248 @t246 @t446 @t452 (not @t453)))) % 1.72/1.98 (step @p667 :rule chain_m_resolution :premises (@p666 @p198 @p196 @p190 @p184 @p178 @p664 @p634) :args (@t452 @t294 (@list @t253 @t251 @t249 @t247 @t239 @t445 @t453))) % 1.72/1.98 (step @p668 :rule cnf_and_pos :args (@t452 1)) % 1.72/1.98 (step @p669 :rule reordering :premises (@p668) :args ((or @t449 @t454))) % 1.72/1.98 (step @p670 :rule chain_m_resolution :premises (@p669 @p667) :args (@t449 @t334 @t455)) % 1.72/1.98 (step @p671 :rule symm :premises (@p670)) % 1.72/1.98 (step @p672 :rule cnf_and_pos :args (@t452 0)) % 1.72/1.98 (step @p673 :rule reordering :premises (@p672) :args ((or @t451 @t454))) % 1.72/1.98 (step @p674 :rule chain_m_resolution :premises (@p673 @p667) :args (@t451 @t334 @t455)) % 1.72/1.98 (step @p675 :rule symm :premises (@p674)) % 1.72/1.98 (step @p676 :rule trans :premises (@p675 @p671)) % 1.72/1.98 (step @p677 :rule refl :args (@t242)) % 1.72/1.98 (step @p678 :rule cong :premises (@p677 @p676 @p633) :args ((tptp.m1_relset_1 @t242 @t450 @t222))) % 1.72/1.98 (step @p679 :rule symm :premises (@p676)) % 1.72/1.98 (step @p516 :rule symm :premises (@p499)) % 1.72/1.98 (step @p517 :rule symm :premises (@p502)) % 1.72/1.98 (step @p680 :rule trans :premises (@p517 @p516)) % 1.72/1.98 (step @p681 :rule trans :premises (@p680 @p679)) % 1.72/1.98 (step @p682 :rule cong :premises (@p677 @p681 @p633) :args (@t425)) % 1.72/1.98 (step @p683 :rule trans :premises (@p682 @p678 @p632)) % 1.72/1.98 (step @p684 :rule true_elim :premises (@p683)) % 1.72/1.98 (step @p685 :rule eq-symm :args (@t456 @t338)) % 1.72/1.98 (step @p686 :rule cong :premises (@p617 @p685) :args ((=> @t435 @t457))) % 1.72/1.98 (assume-push @p1044 @t435) % 1.72/1.98 (step @p688 :rule instantiate :premises (@p615) :args ((@list @t222 @t222 @t220))) % 1.72/1.98 (step-pop @p1045 :rule scope :premises (@p688)) % 1.72/1.98 (step @p689 :rule process_scope :premises (@p1045) :args (@t457)) % 1.72/1.98 (step @p691 :rule eq_resolve :premises (@p689 @p686)) % 1.72/1.98 (step @p692 :rule implies_elim :premises (@p691)) % 1.72/1.98 (step @p693 :rule chain_m_resolution :premises (@p692 @p615) :args (@t458 @t334 @t438)) % 1.72/1.98 (step @p694 :rule cnf_equiv_pos1 :args (@t458)) % 1.72/1.98 (step @p695 :rule reordering :premises (@p694) :args ((or @t369 @t456 (not @t458)))) % 1.72/1.98 (step @p696 :rule chain_m_resolution :premises (@p695 @p451 @p693) :args (@t456 @t263 (@list @t338 @t458))) % 1.72/1.98 (step @p697 :rule true_intro :premises (@p696)) % 1.72/1.98 (step @p698 :rule refl :args (@t220)) % 1.72/1.98 (step @p699 :rule cong :premises (@p698 @p676 @p633) :args ((tptp.m1_relset_1 @t220 @t450 @t222))) % 1.72/1.98 (step @p700 :rule cong :premises (@p698 @p679 @p680) :args (@t428)) % 1.72/1.98 (step @p701 :rule trans :premises (@p700 @p699 @p697)) % 1.72/1.98 (step @p702 :rule true_elim :premises (@p701)) % 1.72/1.98 (step @p703 :rule cnf_or_pos :args (@t433)) % 1.72/1.98 (step @p704 :rule reordering :premises (@p703) :args ((or @t372 @t427 @t429 @t426 @t432 (not @t433)))) % 1.72/1.98 (step @p705 :rule chain_m_resolution :premises (@p704 @p457 @p578 @p702 @p684 @p612) :args (@t432 @t374 (@list @t341 @t411 @t428 @t425 @t433))) % 1.72/1.98 (step @p706 :rule aci_norm :args ((= (or (or @t56 @t463 @t462 @t461 @t420 @t460 @t459) @t155) (or @t56 @t463 @t462 @t461 @t420 @t460 @t459 @t155)))) % 1.72/1.98 (step @p707 :rule refl :args (@t155)) % 1.72/1.98 (step @p708 :rule refl :args (@t459)) % 1.72/1.98 (step @p709 :rule refl :args (@t460)) % 1.72/1.98 (step @p710 :rule refl :args (@t461)) % 1.72/1.98 (step @p711 :rule refl :args (@t462)) % 1.72/1.98 (step @p712 :rule refl :args (@t463)) % 1.72/1.98 (step @p713 :rule nary_cong :premises (@p102 @p712 @p711 @p710 @p587 @p709 @p708) :args (@t464)) % 1.72/1.98 (step @p714 :rule aci_norm :args ((= (or @t206 (or @t463 (or @t462 (or @t461 (or @t420 (or @t460 @t459)))))) @t464))) % 1.72/1.98 (step @p715 :rule trans :premises (@p714 @p713)) % 1.72/1.98 (step @p716 :rule bool-and-de-morgan :args (@t116 @t115 true)) % 1.72/1.98 (step @p717 :rule nary_cong :premises (@p587 @p716) :args ((or @t420 (not (and @t116 @t115))))) % 1.72/1.98 (step @p718 :rule bool-and-de-morgan :args (@t94 @t116 (and @t115))) % 1.72/1.98 (step @p719 :rule trans :premises (@p718 @p717)) % 1.72/1.98 (step @p720 :rule nary_cong :premises (@p710 @p719) :args ((or @t461 (not (and @t94 @t116 @t115))))) % 1.72/1.98 (step @p721 :rule bool-and-de-morgan :args (@t117 @t94 (and @t116 @t115))) % 1.72/1.98 (step @p722 :rule trans :premises (@p721 @p720)) % 1.72/1.98 (step @p723 :rule nary_cong :premises (@p711 @p722) :args ((or @t462 (not (and @t117 @t94 @t116 @t115))))) % 1.72/1.98 (step @p724 :rule bool-and-de-morgan :args (@t118 @t117 (and @t94 @t116 @t115))) % 1.72/1.98 (step @p725 :rule trans :premises (@p724 @p723)) % 1.72/1.98 (step @p726 :rule nary_cong :premises (@p712 @p725) :args ((or @t463 (not (and @t118 @t117 @t94 @t116 @t115))))) % 1.72/1.98 (step @p727 :rule bool-and-de-morgan :args (@t119 @t118 (and @t117 @t94 @t116 @t115))) % 1.72/1.98 (step @p728 :rule trans :premises (@p727 @p726)) % 1.72/1.98 (step @p729 :rule refl :args (@t206)) % 1.72/1.98 (step @p730 :rule nary_cong :premises (@p729 @p728) :args ((or @t206 (not (and @t119 @t118 @t117 @t94 @t116 @t115))))) % 1.72/1.98 (step @p731 :rule bool-and-de-morgan :args (@t57 @t119 (and @t118 @t117 @t94 @t116 @t115))) % 1.72/1.98 (step @p732 :rule trans :premises (@p731 @p730)) % 1.72/1.98 (step @p733 :rule trans :premises (@p732 @p715)) % 1.72/1.98 (step @p734 :rule nary_cong :premises (@p733 @p707) :args ((or (not @t120) @t155))) % 1.72/1.98 (step @p735 :rule trans :premises (@p734 @p706)) % 1.72/1.98 (step @p736 :rule bool-impl-elim :args (@t120 @t155)) % 1.72/1.98 (step @p737 :rule trans :premises (@p736 @p735)) % 1.72/1.98 (step @p738 :rule cong :premises (@p737) :args (@t156)) % 1.72/1.98 (step @p739 :rule eq_resolve :premises (@p69 @p738)) % 1.72/1.98 (step @p740 :rule instantiate :premises (@p739) :args ((@list @t222 @t222 @t222 @t220 @t242))) % 1.72/1.98 (step @p741 :rule cnf_and_pos :args (@t412 1)) % 1.72/1.98 (step @p742 :rule reordering :premises (@p741) :args ((or @t410 @t415))) % 1.72/1.98 (step @p743 :rule chain_m_resolution :premises (@p742 @p575) :args (@t410 @t334 @t416)) % 1.72/1.98 (step @p744 :rule cnf_or_pos :args (@t470)) % 1.72/1.98 (step @p745 :rule reordering :premises (@p744) :args ((or @t372 @t264 @t427 @t468 @t371 @t467 @t469 @t466 (not @t470)))) % 1.72/1.98 (step @p746 :rule chain_m_resolution :premises (@p745 @p457 @p224 @p578 @p743 @p454 @p631 @p696 @p740) :args (@t466 (@list false true false false false false false false) (@list @t341 @t264 @t411 @t410 @t340 @t434 @t456 @t470))) % 1.72/1.98 (step @p747 :rule aci_norm :args ((= @t475 (or @t15 @t214 @t213 @t212 @t211 @t473 @t472)))) % 1.72/1.98 (step @p748 :rule cong :premises (@p747) :args (@t476)) % 1.72/1.98 (step @p749 :rule quant-merge-prenex :args ((= (forall @t19 @t478) @t476))) % 1.72/1.98 (step @p750 :rule alpha_equiv :args (@t479 (@list @t471) @t234)) % 1.72/1.98 (step @p751 :rule nary_cong :premises (@p147 @p119 @p118 @p117 @p116 @p750) :args (@t480)) % 1.72/1.98 (step @p752 :rule quant-miniscope-or :args ((= @t478 @t480))) % 1.72/1.98 (step @p753 :rule trans :premises (@p752 @p751)) % 1.72/1.98 (step @p754 :rule symm :premises (@p753)) % 1.72/1.98 (step @p755 :rule cong :premises (@p754) :args ((forall @t19 @t483))) % 1.72/1.98 (step @p756 :rule trans :premises (@p755 @p749)) % 1.72/1.98 (step @p757 :rule trans :premises (@p756 @p748)) % 1.72/1.98 (step @p758 :rule aci_norm :args ((= (or @t223 @t482) @t483))) % 1.72/1.98 (step @p759 :rule refl :args (@t482)) % 1.72/1.98 (step @p760 :rule nary_cong :premises (@p135 @p759) :args ((or @t226 @t482))) % 1.72/1.98 (step @p761 :rule trans :premises (@p760 @p758)) % 1.72/1.98 (step @p762 :rule bool-impl-elim :args (@t17 @t482)) % 1.72/1.98 (step @p763 :rule trans :premises (@p762 @p761)) % 1.72/1.98 (step @p764 :rule cong :premises (@p763) :args ((forall @t19 (=> @t17 @t482)))) % 1.72/1.98 (step @p765 :rule trans :premises (@p764 @p757)) % 1.72/1.98 (step @p766 :rule bool-impl-elim :args (@t8 @t481)) % 1.72/1.98 (step @p767 :rule cong :premises (@p766) :args ((forall @t9 (=> @t8 @t481)))) % 1.72/1.98 (step @p768 :rule eq-symm :args (@t168 @t165)) % 1.72/1.98 (step @p769 :rule refl :args (@t8)) % 1.72/1.98 (step @p770 :rule cong :premises (@p769 @p768) :args (@t169)) % 1.72/1.98 (step @p771 :rule cong :premises (@p770) :args (@t170)) % 1.72/1.98 (step @p772 :rule trans :premises (@p771 @p767)) % 1.72/1.98 (step @p773 :rule cong :premises (@p165 @p772) :args (@t171)) % 1.72/1.98 (step @p774 :rule cong :premises (@p773) :args (@t172)) % 1.72/1.98 (step @p775 :rule trans :premises (@p774 @p765)) % 1.72/1.98 (step @p776 :rule eq_resolve :premises (@p76 @p775)) % 1.72/1.98 (step @p777 :rule instantiate :premises (@p776) :args (@t290)) % 1.72/1.98 (step @p778 :rule cnf_or_pos :args (@t486)) % 1.72/1.98 (step @p779 :rule reordering :premises (@p778) :args ((or @t253 @t252 @t250 @t248 @t246 @t245 @t485 (not @t486)))) % 1.72/1.98 (step @p780 :rule chain_m_resolution :premises (@p779 @p198 @p196 @p190 @p184 @p178 @p286 @p777) :args (@t485 @t294 (@list @t253 @t251 @t249 @t247 @t239 @t244 @t486))) % 1.72/1.98 (step @p781 :rule aci_norm :args ((= (or @t223 @t166) (or @t15 @t214 @t213 @t212 @t211 @t166)))) % 1.72/1.98 (step @p782 :rule refl :args (@t166)) % 1.72/1.98 (step @p783 :rule nary_cong :premises (@p135 @p782) :args ((or @t226 @t166))) % 1.72/1.98 (step @p784 :rule trans :premises (@p783 @p781)) % 1.72/1.98 (step @p785 :rule bool-impl-elim :args (@t17 @t166)) % 1.72/1.98 (step @p786 :rule trans :premises (@p785 @p784)) % 1.72/1.98 (step @p787 :rule cong :premises (@p786) :args (@t167)) % 1.72/1.98 (step @p788 :rule eq_resolve :premises (@p75 @p787)) % 1.72/1.98 (step @p789 :rule instantiate :premises (@p788) :args (@t227)) % 1.72/1.98 (step @p790 :rule cnf_or_pos :args (@t489)) % 1.72/1.98 (step @p791 :rule reordering :premises (@p790) :args ((or @t253 @t252 @t250 @t248 @t246 @t488 (not @t489)))) % 1.72/1.98 (step @p792 :rule chain_m_resolution :premises (@p791 @p198 @p196 @p190 @p184 @p178 @p789) :args (@t488 @t259 (@list @t253 @t251 @t249 @t247 @t239 @t489))) % 1.72/1.98 (step @p793 :rule symm :premises (@p792)) % 1.72/1.98 (step @p794 :rule trans :premises (@p793 @p780 @p746 @p705)) % 1.72/1.98 (step @p795 :rule true_intro :premises (@p454)) % 1.72/1.98 (step @p796 :rule instantiate :premises (@p492) :args (@t490)) % 1.72/1.98 (step @p797 :rule instantiate :premises (@p252) :args (@t490)) % 1.72/1.98 (step @p798 :rule cnf_or_pos :args (@t492)) % 1.72/1.98 (step @p799 :rule reordering :premises (@p798) :args ((or @t253 @t252 @t250 @t248 @t246 @t413 @t491 (not @t492)))) % 1.72/1.98 (step @p800 :rule chain_m_resolution :premises (@p799 @p198 @p196 @p190 @p184 @p178 @p572 @p797) :args (@t491 @t294 (@list @t253 @t251 @t249 @t247 @t239 @t406 @t492))) % 1.72/1.98 (step @p801 :rule cnf_or_pos :args (@t499)) % 1.72/1.98 (step @p802 :rule reordering :premises (@p801) :args ((or @t253 @t252 @t250 @t248 @t246 @t498 @t497 (not @t499)))) % 1.72/1.98 (step @p803 :rule chain_m_resolution :premises (@p802 @p198 @p196 @p190 @p184 @p178 @p800 @p796) :args (@t497 @t294 (@list @t253 @t251 @t249 @t247 @t239 @t491 @t499))) % 1.72/1.98 (step @p804 :rule cnf_and_pos :args (@t497 1)) % 1.72/1.98 (step @p805 :rule reordering :premises (@p804) :args ((or @t494 @t500))) % 1.72/1.98 (step @p806 :rule chain_m_resolution :premises (@p805 @p803) :args (@t494 @t334 @t501)) % 1.72/1.98 (step @p807 :rule symm :premises (@p806)) % 1.72/1.98 (step @p808 :rule cnf_and_pos :args (@t497 0)) % 1.72/1.98 (step @p809 :rule reordering :premises (@p808) :args ((or @t496 @t500))) % 1.72/1.98 (step @p810 :rule chain_m_resolution :premises (@p809 @p803) :args (@t496 @t334 @t501)) % 1.72/1.98 (step @p811 :rule symm :premises (@p810)) % 1.72/1.98 (step @p812 :rule trans :premises (@p811 @p807)) % 1.72/1.98 (step @p813 :rule cong :premises (@p698 @p812 @p633) :args ((tptp.v1_funct_2 @t220 @t495 @t222))) % 1.72/1.98 (step @p814 :rule symm :premises (@p812)) % 1.72/1.98 (step @p815 :rule cong :premises (@p698 @p814 @p680) :args (@t502)) % 1.72/1.98 (step @p816 :rule trans :premises (@p815 @p813 @p795)) % 1.72/1.98 (step @p817 :rule true_elim :premises (@p816)) % 1.72/1.98 (step @p818 :rule true_intro :premises (@p451)) % 1.72/1.98 (step @p819 :rule cong :premises (@p698 @p812 @p633) :args ((tptp.m2_relset_1 @t220 @t495 @t222))) % 1.72/1.98 (step @p820 :rule cong :premises (@p698 @p814 @p680) :args (@t503)) % 1.72/1.98 (step @p821 :rule trans :premises (@p820 @p819 @p818)) % 1.72/1.98 (step @p822 :rule true_elim :premises (@p821)) % 1.72/1.98 (step @p823 :rule true_intro :premises (@p628)) % 1.72/1.98 (step @p824 :rule cong :premises (@p677 @p633 @p812) :args ((tptp.m2_relset_1 @t242 @t222 @t495))) % 1.72/1.98 (step @p825 :rule cong :premises (@p677 @p680 @p814) :args (@t504)) % 1.72/1.98 (step @p826 :rule trans :premises (@p825 @p824 @p823)) % 1.72/1.98 (step @p827 :rule true_elim :premises (@p826)) % 1.72/1.98 (step @p828 :rule true_intro :premises (@p743)) % 1.72/1.98 (step @p829 :rule cong :premises (@p677 @p633 @p812) :args ((tptp.v1_funct_2 @t242 @t222 @t495))) % 1.72/1.98 (step @p830 :rule cong :premises (@p677 @p680 @p814) :args (@t505)) % 1.72/1.98 (step @p831 :rule trans :premises (@p830 @p829 @p828)) % 1.72/1.98 (step @p832 :rule true_elim :premises (@p831)) % 1.72/1.98 (step @p833 :rule aci_norm :args ((= (or @t303 @t515 @t514 false @t513 @t178 @t512 @t511 @t510 @t509 @t508 @t507) @t516))) % 1.72/1.98 (step @p834 :rule refl :args (@t507)) % 1.72/1.98 (step @p835 :rule refl :args (@t508)) % 1.72/1.98 (step @p836 :rule refl :args (@t509)) % 1.72/1.98 (step @p837 :rule refl :args (@t510)) % 1.72/1.98 (step @p838 :rule refl :args (@t511)) % 1.72/1.98 (step @p839 :rule eq-symm :args (@t181 tptp.k1_xboole_0)) % 1.72/1.98 (step @p840 :rule refl :args (@t178)) % 1.72/1.98 (step @p841 :rule refl :args (@t513)) % 1.72/1.98 (step @p842 :rule evaluate :args ((not true))) % 1.72/1.98 (step @p843 :rule eq-refl :args (@t181)) % 1.72/1.98 (step @p844 :rule cong :premises (@p843) :args (@t517)) % 1.72/1.98 (step @p845 :rule trans :premises (@p844 @p842)) % 1.72/1.98 (step @p846 :rule refl :args (@t514)) % 1.72/1.98 (step @p847 :rule refl :args (@t515)) % 1.72/1.98 (step @p848 :rule nary_cong :premises (@p300 @p847 @p846 @p845 @p841 @p840 @p839 @p838 @p837 @p836 @p835 @p834) :args (@t518)) % 1.72/1.98 (step @p849 :rule trans :premises (@p848 @p833)) % 1.72/1.98 (step @p850 :rule cong :premises (@p849) :args ((forall @t519 @t518))) % 1.72/1.98 (step @p851 :rule quant-var-elim-eq :args ((= (forall @t9 @t527) @t518))) % 1.72/1.98 (step @p852 :rule aci_norm :args ((= @t528 @t527))) % 1.72/1.98 (step @p853 :rule cong :premises (@p852) :args (@t529)) % 1.72/1.98 (step @p854 :rule trans :premises (@p853 @p851)) % 1.72/1.98 (step @p855 :rule cong :premises (@p854) :args (@t530)) % 1.72/1.98 (step @p856 :rule quant-merge-prenex :args ((= @t530 @t531))) % 1.72/1.98 (step @p857 :rule symm :premises (@p856)) % 1.72/1.98 (step @p858 :rule quant_var_reordering :args ((= (forall @t532 @t528) @t531))) % 1.72/1.98 (step @p859 :rule trans :premises (@p858 @p857 @p855)) % 1.72/1.98 (step @p860 :rule trans :premises (@p859 @p850)) % 1.72/1.98 (step @p861 :rule eq-symm :args (@t506 @t175)) % 1.72/1.98 (step @p862 :rule refl :args (@t520)) % 1.72/1.98 (step @p863 :rule refl :args (@t521)) % 1.72/1.98 (step @p864 :rule refl :args (@t522)) % 1.72/1.98 (step @p865 :rule refl :args (@t177)) % 1.72/1.98 (step @p866 :rule refl :args (@t524)) % 1.72/1.98 (step @p867 :rule refl :args (@t525)) % 1.72/1.98 (step @p868 :rule refl :args (@t526)) % 1.72/1.98 (step @p869 :rule nary_cong :premises (@p300 @p868 @p867 @p866 @p841 @p840 @p865 @p838 @p864 @p863 @p862 @p861) :args (@t534)) % 1.72/1.98 (step @p870 :rule aci_norm :args ((= @t536 @t534))) % 1.72/1.98 (step @p871 :rule trans :premises (@p870 @p869)) % 1.72/1.98 (step @p872 :rule cong :premises (@p871) :args (@t537)) % 1.72/1.98 (step @p873 :rule trans :premises (@p872 @p860)) % 1.72/1.98 (step @p874 :rule quant-merge-prenex :args ((= (forall @t37 @t539) @t537))) % 1.72/1.98 (step @p875 :rule alpha_equiv :args (@t540 (@list @t506) @t202)) % 1.72/1.98 (step @p876 :rule refl :args (@t177)) % 1.72/1.98 (step @p877 :rule refl :args (@t178)) % 1.72/1.98 (step @p878 :rule refl :args (@t513)) % 1.72/1.98 (step @p879 :rule refl :args (@t524)) % 1.72/1.98 (step @p880 :rule refl :args (@t525)) % 1.72/1.98 (step @p881 :rule refl :args (@t526)) % 1.72/1.98 (step @p882 :rule nary_cong :premises (@p344 @p881 @p880 @p879 @p878 @p877 @p876 @p875) :args (@t541)) % 1.72/1.98 (step @p883 :rule quant-miniscope-or :args ((= @t539 @t541))) % 1.72/1.98 (step @p884 :rule trans :premises (@p883 @p882)) % 1.72/1.98 (step @p885 :rule symm :premises (@p884)) % 1.72/1.98 (step @p886 :rule cong :premises (@p885) :args ((forall @t37 @t548))) % 1.72/1.98 (step @p887 :rule trans :premises (@p886 @p874)) % 1.72/1.98 (step @p888 :rule trans :premises (@p887 @p873)) % 1.72/1.98 (step @p889 :rule aci_norm :args ((= (or @t550 @t549) @t548))) % 1.72/1.98 (step @p890 :rule refl :args (@t549)) % 1.72/1.98 (step @p891 :rule aci_norm :args ((= (or @t303 (or @t526 @t525)) @t550))) % 1.72/1.98 (step @p892 :rule bool-and-de-morgan :args (@t32 @t134 true)) % 1.72/1.98 (step @p893 :rule nary_cong :premises (@p344 @p892) :args ((or @t303 (not (and @t32 @t134))))) % 1.72/1.98 (step @p894 :rule bool-and-de-morgan :args (@t33 @t32 (and @t134))) % 1.72/1.98 (step @p895 :rule trans :premises (@p894 @p893)) % 1.72/1.98 (step @p896 :rule trans :premises (@p895 @p891)) % 1.72/1.98 (step @p897 :rule nary_cong :premises (@p896 @p890) :args ((or (not @t189) @t549))) % 1.72/1.98 (step @p898 :rule trans :premises (@p897 @p889)) % 1.72/1.98 (step @p899 :rule bool-impl-elim :args (@t189 @t549)) % 1.72/1.98 (step @p900 :rule trans :premises (@p899 @p898)) % 1.72/1.98 (step @p901 :rule cong :premises (@p900) :args ((forall @t37 (=> @t189 @t549)))) % 1.72/1.98 (step @p902 :rule trans :premises (@p901 @p888)) % 1.72/1.98 (step @p903 :rule quant-miniscope-or :args ((= (forall @t129 @t551) @t549))) % 1.72/1.98 (step @p904 :rule aci_norm :args ((= @t552 @t551))) % 1.72/1.98 (step @p905 :rule cong :premises (@p904) :args ((forall @t129 @t552))) % 1.72/1.98 (step @p906 :rule trans :premises (@p905 @p903)) % 1.72/1.98 (step @p907 :rule aci_norm :args ((= (or @t554 @t553) @t552))) % 1.72/1.98 (step @p908 :rule aci_norm :args ((= (or @t555 @t179) @t553))) % 1.72/1.98 (step @p909 :rule refl :args (@t179)) % 1.72/1.98 (step @p910 :rule aci_norm :args ((= (or @t524 (or @t543 @t513)) @t555))) % 1.72/1.98 (step @p911 :rule bool-and-de-morgan :args (@t542 @t45 true)) % 1.72/1.98 (step @p912 :rule nary_cong :premises (@p879 @p911) :args ((or @t524 (not (and @t542 @t45))))) % 1.72/1.98 (step @p913 :rule bool-and-de-morgan :args (@t523 @t542 (and @t45))) % 1.72/1.98 (step @p914 :rule trans :premises (@p913 @p912)) % 1.72/1.98 (step @p915 :rule trans :premises (@p914 @p910)) % 1.72/1.98 (step @p916 :rule nary_cong :premises (@p915 @p909) :args ((or (not @t556) @t179))) % 1.72/1.98 (step @p917 :rule trans :premises (@p916 @p908)) % 1.72/1.98 (step @p918 :rule bool-impl-elim :args (@t556 @t179)) % 1.72/1.98 (step @p919 :rule trans :premises (@p918 @p917)) % 1.72/1.98 (step @p920 :rule aci_norm :args ((= (or @t463 (or @t545 @t544)) @t554))) % 1.72/1.98 (step @p921 :rule bool-and-de-morgan :args (@t185 @t184 true)) % 1.72/1.98 (step @p922 :rule nary_cong :premises (@p712 @p921) :args ((or @t463 (not (and @t185 @t184))))) % 1.72/1.98 (step @p923 :rule bool-and-de-morgan :args (@t119 @t185 (and @t184))) % 1.72/1.98 (step @p924 :rule trans :premises (@p923 @p922)) % 1.72/1.98 (step @p925 :rule trans :premises (@p924 @p920)) % 1.72/1.98 (step @p926 :rule nary_cong :premises (@p925 @p919) :args ((or (not @t186) @t557))) % 1.72/1.98 (step @p927 :rule trans :premises (@p926 @p907)) % 1.72/1.98 (step @p928 :rule bool-impl-elim :args (@t186 @t557)) % 1.72/1.98 (step @p929 :rule trans :premises (@p928 @p927)) % 1.72/1.98 (step @p930 :rule cong :premises (@p929) :args ((forall @t129 (=> @t186 @t557)))) % 1.72/1.98 (step @p931 :rule trans :premises (@p930 @p906)) % 1.72/1.98 (step @p932 :rule refl :args (@t179)) % 1.72/1.98 (step @p933 :rule refl :args (@t45)) % 1.72/1.98 (step @p934 :rule eq-symm :args (@t180 @t111)) % 1.72/1.98 (step @p935 :rule eq-symm :args (@t181 @t1)) % 1.72/1.98 (step @p936 :rule nary_cong :premises (@p935 @p934 @p933) :args (@t182)) % 1.72/1.98 (step @p937 :rule cong :premises (@p936 @p932) :args (@t183)) % 1.72/1.98 (step @p938 :rule refl :args (@t186)) % 1.72/1.98 (step @p939 :rule cong :premises (@p938 @p937) :args (@t187)) % 1.72/1.98 (step @p940 :rule cong :premises (@p939) :args (@t188)) % 1.72/1.98 (step @p941 :rule trans :premises (@p940 @p931)) % 1.72/1.98 (step @p942 :rule refl :args (@t189)) % 1.72/1.98 (step @p943 :rule cong :premises (@p942 @p941) :args (@t190)) % 1.72/1.98 (step @p944 :rule cong :premises (@p943) :args (@t191)) % 1.72/1.98 (step @p945 :rule trans :premises (@p944 @p902)) % 1.72/1.98 (step @p946 :rule eq_resolve :premises (@p78 @p945)) % 1.72/1.98 (step @p947 :rule eq-symm :args (@t240 @t242)) % 1.72/1.98 (step @p948 :rule refl :args (@t559)) % 1.72/1.98 (step @p949 :rule refl :args (@t560)) % 1.72/1.98 (step @p950 :rule refl :args (@t561)) % 1.72/1.98 (step @p951 :rule refl :args (@t397)) % 1.72/1.98 (step @p952 :rule eq-symm :args (@t222 tptp.k1_xboole_0)) % 1.72/1.98 (step @p953 :rule refl :args (@t562)) % 1.72/1.98 (step @p954 :rule refl :args (@t563)) % 1.72/1.98 (step @p955 :rule refl :args (@t564)) % 1.72/1.98 (step @p956 :rule nary_cong :premises (@p602 @p955 @p954 @p953 @p952 @p951 @p600 @p950 @p949 @p948 @p947) :args (@t565)) % 1.72/1.98 (step @p957 :rule refl :args (@t566)) % 1.72/1.98 (step @p958 :rule cong :premises (@p957 @p956) :args ((=> @t566 @t565))) % 1.72/1.98 (assume-push @p1046 @t566) % 1.72/1.98 (step @p960 :rule instantiate :premises (@p946) :args ((@list @t222 @t220 @t242))) % 1.72/1.98 (step-pop @p1047 :rule scope :premises (@p960)) % 1.72/1.98 (step @p961 :rule process_scope :premises (@p1047) :args (@t565)) % 1.72/1.98 (step @p963 :rule eq_resolve :premises (@p961 @p958)) % 1.72/1.98 (step @p964 :rule implies_elim :premises (@p963)) % 1.72/1.98 (step @p965 :rule chain_m_resolution :premises (@p964 @p946) :args (@t568 @t334 (@list @t566))) % 1.72/1.98 (step @p966 :rule cnf_or_pos :args (@t568)) % 1.72/1.98 (step @p967 :rule reordering :premises (@p966) :args ((or @t243 @t372 @t427 @t562 @t567 @t564 @t563 @t397 @t561 @t560 @t559 (not @t568)))) % 1.72/1.98 (assume-push @p1048 @t392) % 1.72/1.98 (assume-push @p1049 @t390) % 1.72/1.98 (assume-push @p1050 @t567) % 1.72/1.98 (assume-push @p1051 @t392) % 1.72/1.98 (assume-push @p1052 @t390) % 1.72/1.98 (assume-push @p1053 @t567) % 1.72/1.98 (step @p974 :rule trans :premises (@p1050 @p499 @p502)) % 1.72/1.98 (step-pop @p1054 :rule scope :premises (@p974)) % 1.72/1.98 (step-pop @p1055 :rule scope :premises (@p1054)) % 1.72/1.98 (step-pop @p1056 :rule scope :premises (@p1055)) % 1.72/1.98 (step @p975 :rule process_scope :premises (@p1056) :args (@t397)) % 1.72/1.98 (step @p979 :rule and_intro :premises (@p502 @p499 @p1050)) % 1.72/1.98 (step @p980 :rule modus_ponens :premises (@p979 @p975)) % 1.72/1.98 (step-pop @p1057 :rule scope :premises (@p980)) % 1.72/1.98 (step-pop @p1058 :rule scope :premises (@p1057)) % 1.72/1.98 (step-pop @p1059 :rule scope :premises (@p1058)) % 1.72/1.98 (step @p981 :rule process_scope :premises (@p1059) :args (@t397)) % 1.72/1.98 (step @p985 :rule implies_elim :premises (@p981)) % 1.72/1.98 (step @p986 :rule cnf_and_neg :args (@t569)) % 1.72/1.98 (step @p987 :rule resolution :premises (@p986 @p985) :args (true @t569)) % 1.72/1.98 (step @p988 :rule reordering :premises (@p987) :args ((or @t400 @t399 @t397 (not @t567)))) % 1.72/1.98 (step @p989 :rule chain_m_resolution :premises (@p988 @p499 @p502 @p967 @p965 @p832 @p827 @p822 @p817 @p794 @p457 @p578 @p548) :args ((or @t562 @t397) (@list false false false false false false false false false false false true) (@list @t390 @t392 @t567 @t568 @t505 @t504 @t503 @t502 @t558 @t341 @t411 @t243))) % 1.72/1.98 (step @p990 :rule chain_m_resolution :premises (@p989 @p546) :args (@t562 @t255 (@list @t397))) % 1.72/1.98 (step @p991 :rule cnf_and_pos :args (@t367 0)) % 1.72/1.98 (step @p992 :rule reordering :premises (@p991) :args ((or @t366 @t570))) % 1.72/1.98 (step @p993 :rule chain_m_resolution :premises (@p992 @p990) :args (@t570 @t255 (@list @t366))) % 1.72/1.98 (step @p994 :rule cnf_equiv_pos2 :args (@t368)) % 1.72/1.98 (step @p995 :rule reordering :premises (@p994) :args ((or @t367 @t571 (not @t368)))) % 1.72/1.98 (step @p996 :rule chain_m_resolution :premises (@p995 @p993 @p460) :args (@t571 @t572 (@list @t367 @t368))) % 1.72/1.98 (step @p997 :rule bool-impl-elim :args (@t125 @t124)) % 1.72/1.98 (step @p998 :rule cong :premises (@p997) :args (@t126)) % 1.72/1.98 (step @p999 :rule eq_resolve :premises (@p31 @p998)) % 1.72/1.98 (step @p1000 :rule instantiate :premises (@p999) :args (@t442)) % 1.72/1.98 (step @p1001 :rule cnf_or_pos :args (@t576)) % 1.72/1.98 (step @p1002 :rule reordering :premises (@p1001) :args ((or @t272 @t575 (not @t576)))) % 1.72/1.98 (step @p1003 :rule chain_m_resolution :premises (@p1002 @p201 @p1000) :args (@t575 @t263 (@list @t257 @t576))) % 1.72/1.98 (step @p1004 :rule cnf_and_pos :args (@t575 0)) % 1.72/1.98 (step @p1005 :rule reordering :premises (@p1004) :args ((or @t574 (not @t575)))) % 1.72/1.98 (step @p1006 :rule chain_m_resolution :premises (@p1005 @p1003) :args (@t574 @t334 (@list @t575))) % 1.72/1.98 (step @p1007 :rule cnf_or_pos :args (@t578)) % 1.72/1.98 (step @p1008 :rule reordering :premises (@p1007) :args ((or @t573 @t365 @t577 @t579))) % 1.72/1.98 (step @p1009 :rule chain_m_resolution :premises (@p1008 @p1006 @p996 @p295) :args (@t579 (@list true true false) (@list @t573 @t365 @t269))) % 1.72/1.98 (assume-push @p1060 @t580) % 1.72/1.98 (step @p1011 :rule instantiate :premises (@p89) :args ((@list @t220 @t221))) % 1.72/1.98 (step-pop @p1061 :rule scope :premises (@p1011)) % 1.72/1.98 (step @p1012 :rule process_scope :premises (@p1061) :args (@t578)) % 1.72/1.98 (step @p1014 :rule implies_elim :premises (@p1012)) % 1.72/1.98 (step @p1015 false :rule chain_m_resolution :premises (@p1014 @p1009 @p89) :args (false @t572 (@list @t578 @t580))) % 1.72/1.98 ) % 1.72/1.98 % SZS output end Proof % 1.72/1.98 % cvc5 exiting %------------------------------------------------------------------------------