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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LAT329+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:30:20 AM UTC 2026

% Result   : Theorem 0.45s 0.70s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT329+1 : TPTP v9.2.1. Released v3.4.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.34  % Computer : n011.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Tue Jun  2 06:31:20 EDT 2026
% 0.15/0.34  % CPUTime  : 
% 0.30/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.45/0.70  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.45/0.70  % SZS status Theorem
% 0.45/0.70  % SZS output start Proof
% 0.45/0.70  (
% 0.45/0.70  (declare-sort $$unsorted 0)
% 0.45/0.70  (declare-const tptp.r1_lattices (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.r3_lattices (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.k2_filter_2 (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.70  (declare-const tptp.v3_struct_0 (-> $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.a_2_0_filter_0 (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.70  (declare-const tptp.l2_lattices (-> $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.l3_lattices (-> $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.l1_lattices (-> $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.v14_lattices (-> $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted))
% 0.45/0.70  (declare-const tptp.l1_struct_0 (-> $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.v1_funct_1 (-> $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.k6_lattices (-> $$unsorted $$unsorted))
% 0.45/0.70  (declare-const tptp.v10_lattices (-> $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.k2_filter_0 (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.70  (declare-const tptp.m2_lattice4 (-> $$unsorted $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted))
% 0.45/0.70  (declare-const tptp.k1_xboole_0 $$unsorted)
% 0.45/0.70  (declare-const tptp.v9_lattices (-> $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.m1_filter_0 (-> $$unsorted $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.v8_lattices (-> $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.r1_filter_2 (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.v7_lattices (-> $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.v6_lattices (-> $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.k22_filter_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.45/0.70  (declare-const tptp.v5_lattices (-> $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.v4_lattices (-> $$unsorted Bool))
% 0.45/0.70  (declare-const tptp.m1_filter_2 (-> $$unsorted $$unsorted Bool))
% 0.45/0.70  (define @t1 () (@var "A" $$unsorted))
% 0.45/0.70  (define @t2 () (tptp.k6_lattices @t1))
% 0.45/0.70  (define @t3 () (@var "B" $$unsorted))
% 0.45/0.70  (define @t4 () (tptp.k2_filter_2 @t1 @t3))
% 0.45/0.70  (define @t5 () (tptp.u1_struct_0 @t1))
% 0.45/0.70  (define @t6 () (tptp.r1_filter_2 @t5 @t4 (tptp.k22_filter_2 @t1 @t3 @t2)))
% 0.45/0.70  (define @t7 () (tptp.v14_lattices @t1))
% 0.45/0.70  (define @t8 () (=> @t7 @t6))
% 0.45/0.70  (define @t9 () (tptp.m1_subset_1 @t3 @t5))
% 0.45/0.70  (define @t10 () (@list @t3))
% 0.45/0.70  (define @t11 () (forall @t10 (=> @t9 @t8)))
% 0.45/0.70  (define @t12 () (tptp.l3_lattices @t1))
% 0.45/0.70  (define @t13 () (tptp.v10_lattices @t1))
% 0.45/0.70  (define @t14 () (tptp.v3_struct_0 @t1))
% 0.45/0.70  (define @t15 () (not @t14))
% 0.45/0.70  (define @t16 () (and @t15 @t13 @t12))
% 0.45/0.70  (define @t17 () (=> @t16 @t11))
% 0.45/0.70  (define @t18 () (@list @t1))
% 0.45/0.70  (define @t19 () (forall @t18 @t17))
% 0.45/0.70  (define @t20 () (not @t19))
% 0.45/0.70  (define @t21 () (tptp.r2_hidden @t1 @t3))
% 0.45/0.70  (define @t22 () (@list @t1 @t3))
% 0.45/0.70  (define @t23 () (tptp.v1_xboole_0 @t1))
% 0.45/0.70  (define @t24 () (tptp.v9_lattices @t1))
% 0.45/0.70  (define @t25 () (tptp.v8_lattices @t1))
% 0.45/0.70  (define @t26 () (tptp.v6_lattices @t1))
% 0.45/0.70  (define @t27 () (and @t15 (tptp.v4_lattices @t1) (tptp.v5_lattices @t1) @t26 (tptp.v7_lattices @t1) @t25 @t24))
% 0.45/0.70  (define @t28 () (and @t15 @t13))
% 0.45/0.70  (define @t29 () (@var "C" $$unsorted))
% 0.45/0.70  (define @t30 () (@var "D" $$unsorted))
% 0.45/0.70  (define @t31 () (tptp.r2_hidden @t30 @t3))
% 0.45/0.70  (define @t32 () (= @t31 (tptp.r2_hidden @t30 @t29)))
% 0.45/0.70  (define @t33 () (tptp.m1_subset_1 @t30 @t1))
% 0.45/0.70  (define @t34 () (@list @t30))
% 0.45/0.70  (define @t35 () (forall @t34 (=> @t33 @t32)))
% 0.45/0.70  (define @t36 () (tptp.r1_filter_2 @t1 @t3 @t29))
% 0.45/0.70  (define @t37 () (= @t36 @t35))
% 0.45/0.70  (define @t38 () (tptp.k1_zfmisc_1 @t1))
% 0.45/0.70  (define @t39 () (tptp.m1_subset_1 @t29 @t38))
% 0.45/0.70  (define @t40 () (=> @t39 @t37))
% 0.45/0.70  (define @t41 () (@list @t29))
% 0.45/0.70  (define @t42 () (forall @t41 @t40))
% 0.45/0.70  (define @t43 () (tptp.m1_subset_1 @t3 @t38))
% 0.45/0.70  (define @t44 () (=> @t43 @t42))
% 0.45/0.70  (define @t45 () (forall @t10 @t44))
% 0.45/0.70  (define @t46 () (not @t23))
% 0.45/0.70  (define @t47 () (=> @t46 @t45))
% 0.45/0.70  (define @t48 () (forall @t18 @t47))
% 0.45/0.70  (define @t49 () (tptp.k2_filter_0 @t1 @t3))
% 0.45/0.70  (define @t50 () (= @t49 (tptp.a_2_0_filter_0 @t1 @t3)))
% 0.45/0.70  (define @t51 () (forall @t10 (=> @t9 @t50)))
% 0.45/0.70  (define @t52 () (=> @t16 @t51))
% 0.45/0.70  (define @t53 () (forall @t18 @t52))
% 0.45/0.70  (define @t54 () (tptp.k22_filter_2 @t1 @t3 @t29))
% 0.45/0.70  (define @t55 () (and (not (tptp.v1_xboole_0 @t54)) (tptp.m2_lattice4 @t54 @t1)))
% 0.45/0.70  (define @t56 () (tptp.m1_subset_1 @t29 @t5))
% 0.45/0.70  (define @t57 () (and @t15 @t13 @t12 @t9 @t56))
% 0.45/0.70  (define @t58 () (@list @t1 @t3 @t29))
% 0.45/0.70  (define @t59 () (forall @t58 (=> @t57 @t55)))
% 0.45/0.70  (define @t60 () (tptp.m1_filter_0 @t49 @t1))
% 0.45/0.70  (define @t61 () (and @t15 @t13 @t12 @t9))
% 0.45/0.70  (define @t62 () (forall @t22 (=> @t61 @t60)))
% 0.45/0.70  (define @t63 () (tptp.m1_subset_1 @t2 @t5))
% 0.45/0.70  (define @t64 () (tptp.l2_lattices @t1))
% 0.45/0.70  (define @t65 () (and @t15 @t64))
% 0.45/0.70  (define @t66 () (forall @t18 (=> @t65 @t63)))
% 0.45/0.70  (define @t67 () (tptp.l1_struct_0 @t1))
% 0.45/0.70  (define @t68 () (tptp.l1_lattices @t1))
% 0.45/0.70  (define @t69 () (forall @t18 (=> @t68 @t67)))
% 0.45/0.70  (define @t70 () (and @t68 @t64))
% 0.45/0.70  (define @t71 () (forall @t18 (=> @t12 @t70)))
% 0.45/0.70  (define @t72 () (tptp.k1_zfmisc_1 @t5))
% 0.45/0.70  (define @t73 () (tptp.m1_subset_1 @t3 @t72))
% 0.45/0.70  (define @t74 () (tptp.v1_xboole_0 @t3))
% 0.45/0.70  (define @t75 () (not @t74))
% 0.45/0.70  (define @t76 () (and @t75 @t73))
% 0.45/0.70  (define @t77 () (tptp.m1_filter_0 @t3 @t1))
% 0.45/0.70  (define @t78 () (forall @t10 (=> @t77 @t76)))
% 0.45/0.70  (define @t79 () (=> @t16 @t78))
% 0.45/0.70  (define @t80 () (forall @t18 @t79))
% 0.45/0.70  (define @t81 () (tptp.m2_lattice4 @t3 @t1))
% 0.45/0.70  (define @t82 () (tptp.m1_filter_2 @t3 @t1))
% 0.45/0.70  (define @t83 () (forall @t10 (=> @t81 @t73)))
% 0.45/0.70  (define @t84 () (=> @t16 @t83))
% 0.45/0.70  (define @t85 () (forall @t18 @t84))
% 0.45/0.70  (define @t86 () (not (tptp.v1_xboole_0 @t5)))
% 0.45/0.70  (define @t87 () (and @t15 @t67))
% 0.45/0.70  (define @t88 () (forall @t18 (=> @t87 @t86)))
% 0.45/0.70  (define @t89 () (tptp.r3_lattices @t3 @t29 @t30))
% 0.45/0.70  (define @t90 () (= @t1 @t30))
% 0.45/0.70  (define @t91 () (tptp.u1_struct_0 @t3))
% 0.45/0.70  (define @t92 () (tptp.m1_subset_1 @t30 @t91))
% 0.45/0.70  (define @t93 () (and @t92 @t90 @t89))
% 0.45/0.70  (define @t94 () (exists @t34 @t93))
% 0.45/0.70  (define @t95 () (tptp.r2_hidden @t1 (tptp.a_2_0_filter_0 @t3 @t29)))
% 0.45/0.70  (define @t96 () (= @t95 @t94))
% 0.45/0.70  (define @t97 () (tptp.m1_subset_1 @t29 @t91))
% 0.45/0.70  (define @t98 () (tptp.l3_lattices @t3))
% 0.45/0.70  (define @t99 () (tptp.v10_lattices @t3))
% 0.45/0.70  (define @t100 () (tptp.v3_struct_0 @t3))
% 0.45/0.70  (define @t101 () (not @t100))
% 0.45/0.70  (define @t102 () (and @t101 @t99 @t98 @t97))
% 0.45/0.70  (define @t103 () (=> @t102 @t96))
% 0.45/0.70  (define @t104 () (forall @t58 @t103))
% 0.45/0.70  (define @t105 () (= @t4 @t49))
% 0.45/0.70  (define @t106 () (forall @t22 (=> @t61 @t105)))
% 0.45/0.70  (define @t107 () (and @t46 @t43 @t39))
% 0.45/0.70  (define @t108 () (tptp.r3_lattices @t1 @t3 @t29))
% 0.45/0.70  (define @t109 () (and @t15 @t26 @t25 @t24 @t12 @t9 @t56))
% 0.45/0.70  (define @t110 () (tptp.m1_subset_1 @t1 @t3))
% 0.45/0.70  (define @t111 () (= @t1 @t3))
% 0.45/0.70  (define @t112 () (tptp.r3_lattices @t1 @t3 @t2))
% 0.45/0.70  (define @t113 () (forall @t10 (=> @t9 @t112)))
% 0.45/0.70  (define @t114 () (and @t15 @t13 @t7 @t12))
% 0.45/0.70  (define @t115 () (=> @t114 @t113))
% 0.45/0.70  (define @t116 () (forall @t18 @t115))
% 0.45/0.70  (define @t117 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t29)))
% 0.45/0.70  (define @t118 () (= (tptp.r2_hidden @t30 @t54) (and (tptp.r3_lattices @t1 @t3 @t30) (tptp.r3_lattices @t1 @t30 @t29))))
% 0.45/0.70  (define @t119 () (=> @t108 @t118))
% 0.45/0.70  (define @t120 () (tptp.m1_subset_1 @t30 @t5))
% 0.45/0.70  (define @t121 () (forall @t34 (=> @t120 @t119)))
% 0.45/0.70  (define @t122 () (=> @t56 @t121))
% 0.45/0.70  (define @t123 () (forall @t41 @t122))
% 0.45/0.70  (define @t124 () (=> @t9 @t123))
% 0.45/0.70  (define @t125 () (forall @t10 @t124))
% 0.45/0.70  (define @t126 () (=> @t16 @t125))
% 0.45/0.70  (define @t127 () (forall @t18 @t126))
% 0.45/0.70  (define @t128 () (@var "BOUND_VARIABLE_7850" $$unsorted))
% 0.45/0.70  (define @t129 () (= (tptp.k2_filter_0 @t1 @t128) (tptp.a_2_0_filter_0 @t1 @t128)))
% 0.45/0.70  (define @t130 () (not (tptp.m1_subset_1 @t128 @t5)))
% 0.45/0.70  (define @t131 () (not @t12))
% 0.45/0.70  (define @t132 () (not @t13))
% 0.45/0.70  (define @t133 () (or @t130 @t129))
% 0.45/0.70  (define @t134 () (or @t14 @t132 @t131 @t133))
% 0.45/0.70  (define @t135 () (forall (@list @t1 @t128) @t134))
% 0.45/0.70  (define @t136 () (@list @t128))
% 0.45/0.70  (define @t137 () (forall @t136 @t134))
% 0.45/0.70  (define @t138 () (forall @t136 @t133))
% 0.45/0.70  (define @t139 () (@list @t3))
% 0.45/0.70  (define @t140 () (or @t14 @t132 @t131 @t138))
% 0.45/0.70  (define @t141 () (not @t9))
% 0.45/0.70  (define @t142 () (forall @t10 (or @t141 @t50)))
% 0.45/0.70  (define @t143 () (or @t14 @t132 @t131 @t142))
% 0.45/0.70  (define @t144 () (or @t14 @t132 @t131))
% 0.45/0.70  (define @t145 () (not @t15))
% 0.45/0.70  (define @t146 () (or @t145 @t132 @t131))
% 0.45/0.70  (define @t147 () (not @t16))
% 0.45/0.70  (define @t148 () (@var "BOUND_VARIABLE_7748" $$unsorted))
% 0.45/0.70  (define @t149 () (tptp.r1_filter_2 @t5 (tptp.k2_filter_2 @t1 @t148) (tptp.k22_filter_2 @t1 @t148 @t2)))
% 0.45/0.70  (define @t150 () (not (tptp.m1_subset_1 @t148 @t5)))
% 0.45/0.70  (define @t151 () (not @t7))
% 0.45/0.70  (define @t152 () (or @t14 @t132 @t131 @t151 @t150 @t149))
% 0.45/0.70  (define @t153 () (@list @t1 @t148))
% 0.45/0.70  (define @t154 () (forall @t153 @t152))
% 0.45/0.70  (define @t155 () (@quantifiers_skolemize @t154 1))
% 0.45/0.70  (define @t156 () (@quantifiers_skolemize @t154 0))
% 0.45/0.70  (define @t157 () (@list @t156 @t155))
% 0.45/0.70  (define @t158 () (or @t150 @t149))
% 0.45/0.70  (define @t159 () (or @t14 @t132 @t131 @t151 @t158))
% 0.45/0.70  (define @t160 () (forall @t153 @t159))
% 0.45/0.70  (define @t161 () (@list @t148))
% 0.45/0.70  (define @t162 () (forall @t161 @t159))
% 0.45/0.70  (define @t163 () (forall @t161 @t158))
% 0.45/0.70  (define @t164 () (or @t14 @t132 @t131 @t151 @t163))
% 0.45/0.70  (define @t165 () (or @t141 @t6))
% 0.45/0.70  (define @t166 () (forall @t10 @t165))
% 0.45/0.70  (define @t167 () (or @t14 @t132 @t131 @t151 @t166))
% 0.45/0.70  (define @t168 () (or @t151 @t166))
% 0.45/0.70  (define @t169 () (or @t151 @t165))
% 0.45/0.70  (define @t170 () (or @t141 @t151 @t6))
% 0.45/0.70  (define @t171 () (tptp.u1_struct_0 @t156))
% 0.45/0.70  (define @t172 () (tptp.m1_subset_1 @t155 @t171))
% 0.45/0.70  (define @t173 () (tptp.k6_lattices @t156))
% 0.45/0.70  (define @t174 () (tptp.k22_filter_2 @t156 @t155 @t173))
% 0.45/0.70  (define @t175 () (tptp.k2_filter_2 @t156 @t155))
% 0.45/0.70  (define @t176 () (tptp.r1_filter_2 @t171 @t175 @t174))
% 0.45/0.70  (define @t177 () (not @t172))
% 0.45/0.70  (define @t178 () (tptp.v14_lattices @t156))
% 0.45/0.70  (define @t179 () (not @t178))
% 0.45/0.70  (define @t180 () (tptp.l3_lattices @t156))
% 0.45/0.70  (define @t181 () (not @t180))
% 0.45/0.70  (define @t182 () (tptp.v10_lattices @t156))
% 0.45/0.70  (define @t183 () (not @t182))
% 0.45/0.70  (define @t184 () (tptp.v3_struct_0 @t156))
% 0.45/0.70  (define @t185 () (or @t184 @t183 @t181 @t179 @t177 @t176))
% 0.45/0.70  (define @t186 () (@list true))
% 0.45/0.70  (define @t187 () (@list @t185))
% 0.45/0.70  (define @t188 () (tptp.a_2_0_filter_0 @t156 @t155))
% 0.45/0.70  (define @t189 () (tptp.k2_filter_0 @t156 @t155))
% 0.45/0.70  (define @t190 () (= @t189 @t188))
% 0.45/0.70  (define @t191 () (or @t184 @t183 @t181 @t177 @t190))
% 0.45/0.70  (define @t192 () (@list true false false false false))
% 0.45/0.70  (define @t193 () (or @t14 @t132 @t131 @t141))
% 0.45/0.70  (define @t194 () (or @t145 @t132 @t131 @t141))
% 0.45/0.70  (define @t195 () (not @t61))
% 0.45/0.70  (define @t196 () (= @t175 @t189))
% 0.45/0.70  (define @t197 () (or @t184 @t183 @t181 @t177 @t196))
% 0.45/0.70  (define @t198 () (@var "BOUND_VARIABLE_7824" $$unsorted))
% 0.45/0.70  (define @t199 () (@var "BOUND_VARIABLE_7822" $$unsorted))
% 0.45/0.70  (define @t200 () (not @t33))
% 0.45/0.70  (define @t201 () (= (tptp.r1_filter_2 @t1 @t199 @t198) (forall @t34 (or @t200 (= (tptp.r2_hidden @t30 @t199) (tptp.r2_hidden @t30 @t198))))))
% 0.45/0.70  (define @t202 () (not (tptp.m1_subset_1 @t198 @t38)))
% 0.45/0.70  (define @t203 () (not (tptp.m1_subset_1 @t199 @t38)))
% 0.45/0.70  (define @t204 () (or @t203 @t202 @t201))
% 0.45/0.70  (define @t205 () (or @t23 @t204))
% 0.45/0.70  (define @t206 () (forall (@list @t1 @t199 @t198) @t205))
% 0.45/0.70  (define @t207 () (@list @t199 @t198))
% 0.45/0.70  (define @t208 () (forall @t207 @t205))
% 0.45/0.70  (define @t209 () (forall @t207 @t204))
% 0.45/0.70  (define @t210 () (@var "BOUND_VARIABLE_7802" $$unsorted))
% 0.45/0.70  (define @t211 () (or @t23 @t209))
% 0.45/0.70  (define @t212 () (= (tptp.r1_filter_2 @t1 @t3 @t210) (forall @t34 (or @t200 (= @t31 (tptp.r2_hidden @t30 @t210))))))
% 0.45/0.70  (define @t213 () (not (tptp.m1_subset_1 @t210 @t38)))
% 0.45/0.70  (define @t214 () (not @t43))
% 0.45/0.70  (define @t215 () (or @t214 @t213 @t212))
% 0.45/0.70  (define @t216 () (@list @t3 @t210))
% 0.45/0.70  (define @t217 () (forall @t216 @t215))
% 0.45/0.70  (define @t218 () (or @t213 @t212))
% 0.45/0.70  (define @t219 () (or @t214 @t218))
% 0.45/0.70  (define @t220 () (forall @t216 @t219))
% 0.45/0.70  (define @t221 () (@list @t210))
% 0.45/0.70  (define @t222 () (forall @t221 @t219))
% 0.45/0.70  (define @t223 () (forall @t221 @t218))
% 0.45/0.70  (define @t224 () (or @t214 @t223))
% 0.45/0.70  (define @t225 () (= @t36 (forall @t34 (or @t200 @t32))))
% 0.45/0.70  (define @t226 () (forall @t41 (or (not @t39) @t225)))
% 0.45/0.70  (define @t227 () (@var "BOUND_VARIABLE_7945" $$unsorted))
% 0.45/0.70  (define @t228 () (tptp.m1_subset_1 @t227 @t72))
% 0.45/0.70  (define @t229 () (not (tptp.m2_lattice4 @t227 @t1)))
% 0.45/0.70  (define @t230 () (or @t229 @t228))
% 0.45/0.70  (define @t231 () (or @t14 @t132 @t131 @t230))
% 0.45/0.70  (define @t232 () (forall (@list @t1 @t227) @t231))
% 0.45/0.70  (define @t233 () (@list @t227))
% 0.45/0.70  (define @t234 () (forall @t233 @t231))
% 0.45/0.70  (define @t235 () (forall @t233 @t230))
% 0.45/0.70  (define @t236 () (or @t14 @t132 @t131 @t235))
% 0.45/0.70  (define @t237 () (forall @t10 (or (not @t81) @t73)))
% 0.45/0.70  (define @t238 () (or @t14 @t132 @t131 @t237))
% 0.45/0.70  (define @t239 () (not @t56))
% 0.45/0.70  (define @t240 () (or @t145 @t132 @t131 @t141 @t239))
% 0.45/0.70  (define @t241 () (not @t64))
% 0.45/0.70  (define @t242 () (@list @t156))
% 0.45/0.70  (define @t243 () (tptp.l2_lattices @t156))
% 0.45/0.70  (define @t244 () (tptp.l1_lattices @t156))
% 0.45/0.70  (define @t245 () (and @t244 @t243))
% 0.45/0.70  (define @t246 () (or @t181 @t245))
% 0.45/0.70  (define @t247 () (@list false false))
% 0.45/0.70  (define @t248 () (not @t245))
% 0.45/0.70  (define @t249 () (@list false))
% 0.45/0.70  (define @t250 () (@list @t245))
% 0.45/0.70  (define @t251 () (tptp.m1_subset_1 @t173 @t171))
% 0.45/0.70  (define @t252 () (not @t243))
% 0.45/0.70  (define @t253 () (or @t184 @t252 @t251))
% 0.45/0.70  (define @t254 () (@list true false false))
% 0.45/0.70  (define @t255 () (tptp.m2_lattice4 @t174 @t156))
% 0.45/0.70  (define @t256 () (and (not (tptp.v1_xboole_0 @t174)) @t255))
% 0.45/0.70  (define @t257 () (not @t251))
% 0.45/0.70  (define @t258 () (or @t184 @t183 @t181 @t177 @t257 @t256))
% 0.45/0.70  (define @t259 () (@list true false false false false false))
% 0.45/0.70  (define @t260 () (tptp.k1_zfmisc_1 @t171))
% 0.45/0.70  (define @t261 () (tptp.m1_subset_1 @t174 @t260))
% 0.45/0.70  (define @t262 () (not @t255))
% 0.45/0.70  (define @t263 () (or @t184 @t183 @t181 @t262 @t261))
% 0.45/0.70  (define @t264 () (@var "BOUND_VARIABLE_7901" $$unsorted))
% 0.45/0.70  (define @t265 () (and (not (tptp.v1_xboole_0 @t264)) (tptp.m1_subset_1 @t264 @t72)))
% 0.45/0.70  (define @t266 () (not (tptp.m1_filter_0 @t264 @t1)))
% 0.45/0.70  (define @t267 () (or @t266 @t265))
% 0.45/0.70  (define @t268 () (or @t14 @t132 @t131 @t267))
% 0.45/0.70  (define @t269 () (forall (@list @t1 @t264) @t268))
% 0.45/0.70  (define @t270 () (@list @t264))
% 0.45/0.70  (define @t271 () (forall @t270 @t268))
% 0.45/0.70  (define @t272 () (forall @t270 @t267))
% 0.45/0.70  (define @t273 () (or @t14 @t132 @t131 @t272))
% 0.45/0.70  (define @t274 () (forall @t10 (or (not @t77) @t76)))
% 0.45/0.70  (define @t275 () (or @t14 @t132 @t131 @t274))
% 0.45/0.70  (define @t276 () (tptp.m1_filter_0 @t189 @t156))
% 0.45/0.70  (define @t277 () (or @t184 @t183 @t181 @t177 @t276))
% 0.45/0.70  (define @t278 () (tptp.m1_subset_1 @t189 @t260))
% 0.45/0.70  (define @t279 () (and (not (tptp.v1_xboole_0 @t189)) @t278))
% 0.45/0.70  (define @t280 () (not @t276))
% 0.45/0.70  (define @t281 () (or @t184 @t183 @t181 @t280 @t279))
% 0.45/0.70  (define @t282 () (tptp.m1_subset_1 @t175 @t260))
% 0.45/0.70  (define @t283 () (not @t67))
% 0.45/0.70  (define @t284 () (tptp.l1_struct_0 @t156))
% 0.45/0.70  (define @t285 () (not @t244))
% 0.45/0.70  (define @t286 () (or @t285 @t284))
% 0.45/0.70  (define @t287 () (tptp.v1_xboole_0 @t171))
% 0.45/0.70  (define @t288 () (not @t287))
% 0.45/0.70  (define @t289 () (not @t284))
% 0.45/0.70  (define @t290 () (or @t184 @t289 @t288))
% 0.45/0.70  (define @t291 () (forall @t34 (or (not (tptp.m1_subset_1 @t30 @t171)) (= (tptp.r2_hidden @t30 @t175) (tptp.r2_hidden @t30 @t174)))))
% 0.45/0.70  (define @t292 () (= @t176 @t291))
% 0.45/0.70  (define @t293 () (not @t261))
% 0.45/0.70  (define @t294 () (not @t282))
% 0.45/0.70  (define @t295 () (or @t287 @t294 @t293 @t292))
% 0.45/0.70  (define @t296 () (not @t291))
% 0.45/0.70  (define @t297 () (@list true false))
% 0.45/0.70  (define @t298 () (@quantifiers_skolemize @t291 0))
% 0.45/0.70  (define @t299 () (tptp.r2_hidden @t298 @t174))
% 0.45/0.70  (define @t300 () (tptp.r2_hidden @t298 @t175))
% 0.45/0.70  (define @t301 () (= @t300 @t299))
% 0.45/0.70  (define @t302 () (tptp.m1_subset_1 @t298 @t171))
% 0.45/0.70  (define @t303 () (not @t302))
% 0.45/0.70  (define @t304 () (or @t303 @t301))
% 0.45/0.70  (define @t305 () (@list @t304))
% 0.45/0.70  (define @t306 () (@var "BOUND_VARIABLE_8274" $$unsorted))
% 0.45/0.70  (define @t307 () (@var "BOUND_VARIABLE_8276" $$unsorted))
% 0.45/0.70  (define @t308 () (@var "BOUND_VARIABLE_8272" $$unsorted))
% 0.45/0.70  (define @t309 () (= (tptp.r2_hidden @t307 (tptp.k22_filter_2 @t1 @t308 @t306)) (and (tptp.r3_lattices @t1 @t308 @t307) (tptp.r3_lattices @t1 @t307 @t306))))
% 0.45/0.70  (define @t310 () (not (tptp.m1_subset_1 @t307 @t5)))
% 0.45/0.70  (define @t311 () (not (tptp.r3_lattices @t1 @t308 @t306)))
% 0.45/0.70  (define @t312 () (not (tptp.m1_subset_1 @t306 @t5)))
% 0.45/0.70  (define @t313 () (not (tptp.m1_subset_1 @t308 @t5)))
% 0.45/0.70  (define @t314 () (or @t313 @t312 @t311 @t310 @t309))
% 0.45/0.70  (define @t315 () (or @t14 @t132 @t131 @t314))
% 0.45/0.70  (define @t316 () (forall (@list @t1 @t308 @t306 @t307) @t315))
% 0.45/0.70  (define @t317 () (@list @t308 @t306 @t307))
% 0.45/0.70  (define @t318 () (forall @t317 @t315))
% 0.45/0.70  (define @t319 () (forall @t317 @t314))
% 0.45/0.70  (define @t320 () (@var "BOUND_VARIABLE_8248" $$unsorted))
% 0.45/0.70  (define @t321 () (@var "BOUND_VARIABLE_8246" $$unsorted))
% 0.45/0.70  (define @t322 () (or @t14 @t132 @t131 @t319))
% 0.45/0.70  (define @t323 () (= (tptp.r2_hidden @t320 (tptp.k22_filter_2 @t1 @t3 @t321)) (and (tptp.r3_lattices @t1 @t3 @t320) (tptp.r3_lattices @t1 @t320 @t321))))
% 0.45/0.70  (define @t324 () (not (tptp.m1_subset_1 @t320 @t5)))
% 0.45/0.70  (define @t325 () (not (tptp.r3_lattices @t1 @t3 @t321)))
% 0.45/0.70  (define @t326 () (not (tptp.m1_subset_1 @t321 @t5)))
% 0.45/0.70  (define @t327 () (or @t141 @t326 @t325 @t324 @t323))
% 0.45/0.70  (define @t328 () (@list @t3 @t321 @t320))
% 0.45/0.70  (define @t329 () (forall @t328 @t327))
% 0.45/0.70  (define @t330 () (or @t14 @t132 @t131 @t329))
% 0.45/0.70  (define @t331 () (or @t326 @t325 @t324 @t323))
% 0.45/0.70  (define @t332 () (or @t141 @t331))
% 0.45/0.70  (define @t333 () (forall @t328 @t332))
% 0.45/0.70  (define @t334 () (@list @t321 @t320))
% 0.45/0.70  (define @t335 () (forall @t334 @t332))
% 0.45/0.70  (define @t336 () (forall @t334 @t331))
% 0.45/0.70  (define @t337 () (@var "BOUND_VARIABLE_8227" $$unsorted))
% 0.45/0.70  (define @t338 () (or @t141 @t336))
% 0.45/0.70  (define @t339 () (= (tptp.r2_hidden @t337 @t54) (and (tptp.r3_lattices @t1 @t3 @t337) (tptp.r3_lattices @t1 @t337 @t29))))
% 0.45/0.70  (define @t340 () (not (tptp.m1_subset_1 @t337 @t5)))
% 0.45/0.70  (define @t341 () (not @t108))
% 0.45/0.70  (define @t342 () (or @t239 @t341 @t340 @t339))
% 0.45/0.70  (define @t343 () (@list @t29 @t337))
% 0.45/0.70  (define @t344 () (forall @t343 @t342))
% 0.45/0.70  (define @t345 () (or @t340 @t339))
% 0.45/0.70  (define @t346 () (or @t239 @t341 @t345))
% 0.45/0.70  (define @t347 () (forall @t343 @t346))
% 0.45/0.70  (define @t348 () (@list @t337))
% 0.45/0.70  (define @t349 () (forall @t348 @t346))
% 0.45/0.70  (define @t350 () (forall @t348 @t345))
% 0.45/0.70  (define @t351 () (or @t239 @t341 @t350))
% 0.45/0.70  (define @t352 () (not @t120))
% 0.45/0.70  (define @t353 () (or @t352 @t118))
% 0.45/0.70  (define @t354 () (forall @t34 @t353))
% 0.45/0.70  (define @t355 () (or @t239 @t341 @t354))
% 0.45/0.70  (define @t356 () (or @t341 @t354))
% 0.45/0.70  (define @t357 () (or @t341 @t353))
% 0.45/0.70  (define @t358 () (or @t352 @t341 @t118))
% 0.45/0.70  (define @t359 () (@var "BOUND_VARIABLE_8193" $$unsorted))
% 0.45/0.70  (define @t360 () (tptp.r3_lattices @t1 @t359 @t2))
% 0.45/0.70  (define @t361 () (not (tptp.m1_subset_1 @t359 @t5)))
% 0.45/0.70  (define @t362 () (or @t361 @t360))
% 0.45/0.70  (define @t363 () (or @t14 @t132 @t151 @t131 @t362))
% 0.45/0.70  (define @t364 () (forall (@list @t1 @t359) @t363))
% 0.45/0.70  (define @t365 () (@list @t359))
% 0.45/0.70  (define @t366 () (forall @t365 @t363))
% 0.45/0.70  (define @t367 () (forall @t365 @t362))
% 0.45/0.70  (define @t368 () (or @t14 @t132 @t151 @t131 @t367))
% 0.35/0.70  (define @t369 () (forall @t10 (or @t141 @t112)))
% 0.35/0.70  (define @t370 () (or @t14 @t132 @t151 @t131 @t369))
% 0.35/0.70  (define @t371 () (or @t145 @t132 @t151 @t131))
% 0.35/0.70  (define @t372 () (tptp.r3_lattices @t156 @t155 @t173))
% 0.35/0.70  (define @t373 () (or @t184 @t183 @t179 @t181 @t177 @t372))
% 0.35/0.70  (define @t374 () (tptp.r3_lattices @t156 @t298 @t173))
% 0.35/0.70  (define @t375 () (tptp.r3_lattices @t156 @t155 @t298))
% 0.35/0.70  (define @t376 () (and @t375 @t374))
% 0.35/0.70  (define @t377 () (= @t299 @t376))
% 0.35/0.70  (define @t378 () (not @t372))
% 0.35/0.70  (define @t379 () (or @t184 @t183 @t181 @t177 @t257 @t378 @t303 @t377))
% 0.35/0.70  (define @t380 () (not @t377))
% 0.35/0.70  (define @t381 () (not @t376))
% 0.35/0.70  (define @t382 () (or @t184 @t183 @t179 @t181 @t303 @t374))
% 0.35/0.70  (define @t383 () (and @t302 @t375))
% 0.35/0.70  (define @t384 () (not @t383))
% 0.35/0.70  (define @t385 () (tptp.r3_lattices @t3 @t29 @t1))
% 0.35/0.70  (define @t386 () (tptp.m1_subset_1 @t1 @t91))
% 0.35/0.70  (define @t387 () (= @t95 (and @t386 @t385)))
% 0.35/0.70  (define @t388 () (not @t97))
% 0.35/0.70  (define @t389 () (not @t98))
% 0.35/0.70  (define @t390 () (not @t99))
% 0.35/0.70  (define @t391 () (not @t385))
% 0.35/0.70  (define @t392 () (not @t386))
% 0.35/0.70  (define @t393 () (or @t392 @t391))
% 0.35/0.70  (define @t394 () (= @t95 (not @t393)))
% 0.35/0.70  (define @t395 () (not @t101))
% 0.35/0.70  (define @t396 () (or @t395 @t390 @t389 @t388))
% 0.35/0.70  (define @t397 () (not (= @t1 @t1)))
% 0.35/0.70  (define @t398 () (or @t392 @t397 @t391))
% 0.35/0.70  (define @t399 () (not @t89))
% 0.35/0.70  (define @t400 () (not @t90))
% 0.35/0.70  (define @t401 () (not @t92))
% 0.35/0.70  (define @t402 () (or @t400 @t401 @t400 @t399))
% 0.35/0.70  (define @t403 () (or @t401 @t400 @t399))
% 0.35/0.70  (define @t404 () (forall @t34 (not @t93)))
% 0.35/0.70  (define @t405 () (not @t404))
% 0.35/0.70  (define @t406 () (tptp.r2_hidden @t298 @t188))
% 0.35/0.70  (define @t407 () (= @t406 @t383))
% 0.35/0.70  (define @t408 () (or @t184 @t183 @t181 @t177 @t407))
% 0.35/0.70  (define @t409 () (not @t407))
% 0.35/0.70  (define @t410 () (not @t406))
% 0.35/0.70  (define @t411 () (and @t190 @t196 @t300))
% 0.35/0.70  (define @t412 () (not @t300))
% 0.35/0.70  (define @t413 () (not @t196))
% 0.35/0.70  (define @t414 () (not @t190))
% 0.35/0.70  (define @t415 () (and @t190 @t196 @t412))
% 0.35/0.70  (assume @p1 @t20)
% 0.35/0.70  (assume @p2 (forall @t22 (=> @t21 (not (tptp.r2_hidden @t3 @t1)))))
% 0.35/0.70  (assume @p3 (forall @t18 (=> @t23 (tptp.v1_funct_1 @t1))))
% 0.35/0.70  (assume @p4 (forall @t18 (=> @t12 (=> @t28 @t27))))
% 0.35/0.70  (assume @p5 (forall @t18 (=> @t12 (=> @t27 @t28))))
% 0.35/0.70  (assume @p6 @t48)
% 0.35/0.70  (assume @p7 @t53)
% 0.35/0.70  (assume @p8 true)
% 0.35/0.70  (assume @p9 @t59)
% 0.35/0.70  (assume @p10 @t62)
% 0.35/0.70  (assume @p11 (forall @t22 (=> @t61 (tptp.m1_filter_2 @t4 @t1))))
% 0.35/0.70  (assume @p12 @t66)
% 0.35/0.70  (assume @p13 @t69)
% 0.35/0.70  (assume @p14 (forall @t18 (=> @t64 @t67)))
% 0.35/0.70  (assume @p15 @t71)
% 0.35/0.70  (assume @p16 @t80)
% 0.35/0.70  (assume @p17 (forall @t18 (=> @t16 (forall @t10 (=> @t82 (and @t75 @t81))))))
% 0.35/0.70  (assume @p18 @t85)
% 0.35/0.70  (assume @p19 (exists @t18 @t68))
% 0.35/0.70  (assume @p20 (exists @t18 @t67))
% 0.35/0.70  (assume @p21 (exists @t18 @t64))
% 0.35/0.70  (assume @p22 (exists @t18 @t12))
% 0.35/0.70  (assume @p23 (forall @t18 (=> @t16 (exists @t10 @t77))))
% 0.35/0.70  (assume @p24 (forall @t18 (=> @t16 (exists @t10 @t82))))
% 0.35/0.70  (assume @p25 (forall @t18 (exists @t10 (tptp.m1_subset_1 @t3 @t1))))
% 0.35/0.70  (assume @p26 (forall @t18 (=> @t16 (exists @t10 @t81))))
% 0.35/0.70  (assume @p27 @t88)
% 0.35/0.70  (assume @p28 (forall @t18 (not (tptp.v1_xboole_0 @t38))))
% 0.35/0.70  (assume @p29 (tptp.v1_xboole_0 tptp.k1_xboole_0))
% 0.35/0.70  (assume @p30 @t104)
% 0.35/0.70  (assume @p31 (forall @t18 (=> @t16 (exists @t10 (and @t81 @t75)))))
% 0.35/0.70  (assume @p32 (forall @t18 (=> @t46 (exists @t10 (and @t43 @t75)))))
% 0.35/0.70  (assume @p33 (exists @t18 @t23))
% 0.35/0.70  (assume @p34 (forall @t18 (exists @t10 (and @t43 @t74))))
% 0.35/0.70  (assume @p35 (exists @t18 @t46))
% 0.35/0.70  (assume @p36 (exists @t18 (and @t67 @t15)))
% 0.35/0.70  (assume @p37 (forall @t18 (=> @t87 (exists @t10 (and @t73 @t75)))))
% 0.35/0.70  (assume @p38 @t106)
% 0.35/0.70  (assume @p39 (forall @t18 (=> @t16 (forall @t10 (= @t82 @t77)))))
% 0.35/0.70  (assume @p40 (forall @t58 (=> @t107 (= @t36 (= @t3 @t29)))))
% 0.35/0.70  (assume @p41 (forall @t58 (=> @t109 (= @t108 (tptp.r1_lattices @t1 @t3 @t29)))))
% 0.35/0.70  (assume @p42 (forall @t58 (=> @t107 (tptp.r1_filter_2 @t1 @t3 @t3))))
% 0.35/0.70  (assume @p43 (forall @t22 (tptp.r1_tarski @t1 @t1)))
% 0.35/0.70  (assume @p44 (forall @t58 (=> @t109 (tptp.r3_lattices @t1 @t3 @t3))))
% 0.35/0.70  (assume @p45 (forall @t58 (=> @t107 (=> @t36 (tptp.r1_filter_2 @t1 @t29 @t3)))))
% 0.35/0.70  (assume @p46 (forall @t18 (=> @t16 (forall @t10 (=> @t9 (forall @t41 (=> @t56 (= (tptp.r2_hidden @t3 (tptp.k2_filter_0 @t1 @t29)) (tptp.r3_lattices @t1 @t29 @t3)))))))))
% 0.35/0.70  (assume @p47 (forall @t22 (=> @t21 @t110)))
% 0.35/0.70  (assume @p48 (forall @t22 (=> @t110 (or @t74 @t21))))
% 0.35/0.70  (assume @p49 (forall @t22 (=> (forall @t41 (= (tptp.r2_hidden @t29 @t1) (tptp.r2_hidden @t29 @t3))) @t111)))
% 0.35/0.70  (assume @p50 (forall @t22 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t3)) (tptp.r1_tarski @t1 @t3))))
% 0.35/0.70  (assume @p51 @t116)
% 0.35/0.70  (assume @p52 (forall @t58 (=> (and @t21 @t117) (tptp.m1_subset_1 @t1 @t29))))
% 0.35/0.70  (assume @p53 (forall @t58 (not (and @t21 @t117 (tptp.v1_xboole_0 @t29)))))
% 0.35/0.70  (assume @p54 @t127)
% 0.35/0.70  (assume @p55 (forall @t18 (=> @t23 (= @t1 tptp.k1_xboole_0))))
% 0.35/0.70  (assume @p56 (forall @t22 (not (and @t21 @t74))))
% 0.35/0.70  (assume @p57 (forall @t22 (not (and @t23 (not @t111) @t74))))
% 0.35/0.70  (step @p58 :rule aci_norm :args ((= @t134 (or @t14 @t132 @t131 @t130 @t129))))
% 0.35/0.70  (step @p59 :rule cong :premises (@p58) :args (@t135))
% 0.35/0.70  (step @p60 :rule quant-merge-prenex :args ((= (forall @t18 @t137) @t135)))
% 0.35/0.70  (step @p61 :rule alpha_equiv :args (@t138 (@list @t128) @t139))
% 0.35/0.70  (step @p62 :rule refl :args (@t131))
% 0.35/0.70  (step @p63 :rule refl :args (@t132))
% 0.35/0.70  (step @p64 :rule refl :args (@t14))
% 0.35/0.70  (step @p65 :rule nary_cong :premises (@p64 @p63 @p62 @p61) :args (@t140))
% 0.35/0.70  (step @p66 :rule quant-miniscope-or :args ((= @t137 @t140)))
% 0.35/0.70  (step @p67 :rule trans :premises (@p66 @p65))
% 0.35/0.70  (step @p68 :rule symm :premises (@p67))
% 0.35/0.70  (step @p69 :rule cong :premises (@p68) :args ((forall @t18 @t143)))
% 0.35/0.70  (step @p70 :rule trans :premises (@p69 @p60))
% 0.35/0.70  (step @p71 :rule trans :premises (@p70 @p59))
% 0.35/0.70  (step @p72 :rule aci_norm :args ((= (or @t144 @t142) @t143)))
% 0.35/0.70  (step @p73 :rule refl :args (@t142))
% 0.35/0.70  (step @p74 :rule bool-double-not-elim :args (@t14))
% 0.35/0.70  (step @p75 :rule nary_cong :premises (@p74 @p63 @p62) :args (@t146))
% 0.35/0.70  (step @p76 :rule aci_norm :args ((= (or @t145 (or @t132 @t131)) @t146)))
% 0.35/0.70  (step @p77 :rule trans :premises (@p76 @p75))
% 0.35/0.70  (step @p78 :rule bool-and-de-morgan :args (@t13 @t12 true))
% 0.35/0.70  (step @p79 :rule refl :args (@t145))
% 0.35/0.70  (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or @t145 (not (and @t13 @t12)))))
% 0.35/0.70  (step @p81 :rule bool-and-de-morgan :args (@t15 @t13 (and @t12)))
% 0.35/0.70  (step @p82 :rule trans :premises (@p81 @p80))
% 0.35/0.70  (step @p83 :rule trans :premises (@p82 @p77))
% 0.35/0.70  (step @p84 :rule nary_cong :premises (@p83 @p73) :args ((or @t147 @t142)))
% 0.35/0.70  (step @p85 :rule trans :premises (@p84 @p72))
% 0.35/0.70  (step @p86 :rule bool-impl-elim :args (@t16 @t142))
% 0.35/0.70  (step @p87 :rule trans :premises (@p86 @p85))
% 0.35/0.70  (step @p88 :rule cong :premises (@p87) :args ((forall @t18 (=> @t16 @t142))))
% 0.35/0.70  (step @p89 :rule trans :premises (@p88 @p71))
% 0.35/0.70  (step @p90 :rule bool-impl-elim :args (@t9 @t50))
% 0.35/0.70  (step @p91 :rule cong :premises (@p90) :args (@t51))
% 0.35/0.70  (step @p92 :rule refl :args (@t16))
% 0.35/0.70  (step @p93 :rule cong :premises (@p92 @p91) :args (@t52))
% 0.35/0.70  (step @p94 :rule cong :premises (@p93) :args (@t53))
% 0.35/0.70  (step @p95 :rule trans :premises (@p94 @p89))
% 0.35/0.70  (step @p96 :rule eq_resolve :premises (@p7 @p95))
% 0.35/0.70  (step @p97 :rule instantiate :premises (@p96) :args (@t157))
% 0.35/0.70  (step @p98 :rule aci_norm :args ((= @t159 @t152)))
% 0.35/0.70  (step @p99 :rule cong :premises (@p98) :args (@t160))
% 0.35/0.70  (step @p100 :rule quant-merge-prenex :args ((= (forall @t18 @t162) @t160)))
% 0.35/0.70  (step @p101 :rule alpha_equiv :args (@t163 (@list @t148) @t139))
% 0.35/0.70  (step @p102 :rule refl :args (@t151))
% 0.35/0.70  (step @p103 :rule nary_cong :premises (@p64 @p63 @p62 @p102 @p101) :args (@t164))
% 0.35/0.70  (step @p104 :rule quant-miniscope-or :args ((= @t162 @t164)))
% 0.35/0.70  (step @p105 :rule trans :premises (@p104 @p103))
% 0.35/0.70  (step @p106 :rule symm :premises (@p105))
% 0.35/0.70  (step @p107 :rule cong :premises (@p106) :args ((forall @t18 @t167)))
% 0.35/0.70  (step @p108 :rule trans :premises (@p107 @p100))
% 0.35/0.70  (step @p109 :rule trans :premises (@p108 @p99))
% 0.35/0.70  (step @p110 :rule aci_norm :args ((= (or @t144 @t168) @t167)))
% 0.35/0.70  (step @p111 :rule refl :args (@t168))
% 0.35/0.70  (step @p112 :rule nary_cong :premises (@p83 @p111) :args ((or @t147 @t168)))
% 0.35/0.70  (step @p113 :rule trans :premises (@p112 @p110))
% 0.35/0.70  (step @p114 :rule bool-impl-elim :args (@t16 @t168))
% 0.35/0.70  (step @p115 :rule trans :premises (@p114 @p113))
% 0.35/0.70  (step @p116 :rule cong :premises (@p115) :args ((forall @t18 (=> @t16 @t168))))
% 0.35/0.70  (step @p117 :rule trans :premises (@p116 @p109))
% 0.35/0.70  (step @p118 :rule quant-miniscope-or :args ((= (forall @t10 @t169) @t168)))
% 0.35/0.70  (step @p119 :rule aci_norm :args ((= @t170 @t169)))
% 0.35/0.70  (step @p120 :rule cong :premises (@p119) :args ((forall @t10 @t170)))
% 0.35/0.70  (step @p121 :rule trans :premises (@p120 @p118))
% 0.35/0.70  (step @p122 :rule aci_norm :args ((= (or @t141 (or @t151 @t6)) @t170)))
% 0.35/0.70  (step @p123 :rule bool-impl-elim :args (@t7 @t6))
% 0.35/0.70  (step @p124 :rule refl :args (@t141))
% 0.35/0.70  (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or @t141 @t8)))
% 0.35/0.70  (step @p126 :rule trans :premises (@p125 @p122))
% 0.35/0.70  (step @p127 :rule bool-impl-elim :args (@t9 @t8))
% 0.35/0.70  (step @p128 :rule trans :premises (@p127 @p126))
% 0.35/0.70  (step @p129 :rule cong :premises (@p128) :args (@t11))
% 0.35/0.70  (step @p130 :rule trans :premises (@p129 @p121))
% 0.35/0.70  (step @p131 :rule cong :premises (@p92 @p130) :args (@t17))
% 0.35/0.70  (step @p132 :rule cong :premises (@p131) :args (@t19))
% 0.35/0.70  (step @p133 :rule trans :premises (@p132 @p117))
% 0.35/0.70  (step @p134 :rule cong :premises (@p133) :args (@t20))
% 0.35/0.70  (step @p135 :rule eq_resolve :premises (@p1 @p134))
% 0.35/0.70  (step @p136 :rule skolemize :premises (@p135))
% 0.35/0.70  (step @p137 :rule bool-double-not-elim :args (@t172))
% 0.35/0.70  (step @p138 :rule refl :args (@t185))
% 0.35/0.70  (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or @t185 (not @t177))))
% 0.35/0.70  (step @p140 :rule cnf_or_neg :args (@t185 4))
% 0.35/0.70  (step @p141 :rule eq_resolve :premises (@p140 @p139))
% 0.35/0.70  (step @p142 :rule reordering :premises (@p141) :args ((or @t172 @t185)))
% 0.35/0.70  (step @p143 :rule chain_m_resolution :premises (@p142 @p136) :args (@t172 @t186 @t187))
% 0.35/0.70  (step @p144 :rule bool-double-not-elim :args (@t180))
% 0.35/0.70  (step @p145 :rule nary_cong :premises (@p138 @p144) :args ((or @t185 (not @t181))))
% 0.35/0.70  (step @p146 :rule cnf_or_neg :args (@t185 2))
% 0.35/0.70  (step @p147 :rule eq_resolve :premises (@p146 @p145))
% 0.35/0.70  (step @p148 :rule reordering :premises (@p147) :args ((or @t180 @t185)))
% 0.35/0.70  (step @p149 :rule chain_m_resolution :premises (@p148 @p136) :args (@t180 @t186 @t187))
% 0.35/0.70  (step @p150 :rule bool-double-not-elim :args (@t182))
% 0.35/0.70  (step @p151 :rule nary_cong :premises (@p138 @p150) :args ((or @t185 (not @t183))))
% 0.35/0.70  (step @p152 :rule cnf_or_neg :args (@t185 1))
% 0.35/0.70  (step @p153 :rule eq_resolve :premises (@p152 @p151))
% 0.35/0.70  (step @p154 :rule reordering :premises (@p153) :args ((or @t182 @t185)))
% 0.35/0.70  (step @p155 :rule chain_m_resolution :premises (@p154 @p136) :args (@t182 @t186 @t187))
% 0.35/0.70  (step @p156 :rule cnf_or_neg :args (@t185 0))
% 0.35/0.70  (step @p157 :rule chain_m_resolution :premises (@p156 @p136) :args ((not @t184) @t186 @t187))
% 0.35/0.70  (step @p158 :rule cnf_or_pos :args (@t191))
% 0.35/0.70  (step @p159 :rule reordering :premises (@p158) :args ((or @t184 @t183 @t181 @t177 @t190 (not @t191))))
% 0.35/0.70  (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p155 @p149 @p143 @p97) :args (@t190 @t192 (@list @t184 @t182 @t180 @t172 @t191)))
% 0.35/0.70  (step @p161 :rule aci_norm :args ((= (or @t193 @t105) (or @t14 @t132 @t131 @t141 @t105))))
% 0.35/0.70  (step @p162 :rule refl :args (@t105))
% 0.35/0.70  (step @p163 :rule nary_cong :premises (@p74 @p63 @p62 @p124) :args (@t194))
% 0.35/0.70  (step @p164 :rule aci_norm :args ((= (or @t145 (or @t132 (or @t131 @t141))) @t194)))
% 0.35/0.70  (step @p165 :rule trans :premises (@p164 @p163))
% 0.35/0.70  (step @p166 :rule bool-and-de-morgan :args (@t12 @t9 true))
% 0.35/0.70  (step @p167 :rule nary_cong :premises (@p63 @p166) :args ((or @t132 (not (and @t12 @t9)))))
% 0.35/0.70  (step @p168 :rule bool-and-de-morgan :args (@t13 @t12 (and @t9)))
% 0.35/0.70  (step @p169 :rule trans :premises (@p168 @p167))
% 0.35/0.70  (step @p170 :rule nary_cong :premises (@p79 @p169) :args ((or @t145 (not (and @t13 @t12 @t9)))))
% 0.35/0.70  (step @p171 :rule bool-and-de-morgan :args (@t15 @t13 (and @t12 @t9)))
% 0.35/0.70  (step @p172 :rule trans :premises (@p171 @p170))
% 0.35/0.70  (step @p173 :rule trans :premises (@p172 @p165))
% 0.35/0.70  (step @p174 :rule nary_cong :premises (@p173 @p162) :args ((or @t195 @t105)))
% 0.35/0.70  (step @p175 :rule trans :premises (@p174 @p161))
% 0.35/0.70  (step @p176 :rule bool-impl-elim :args (@t61 @t105))
% 0.35/0.70  (step @p177 :rule trans :premises (@p176 @p175))
% 0.35/0.70  (step @p178 :rule cong :premises (@p177) :args (@t106))
% 0.35/0.70  (step @p179 :rule eq_resolve :premises (@p38 @p178))
% 0.35/0.70  (step @p180 :rule instantiate :premises (@p179) :args (@t157))
% 0.35/0.70  (step @p181 :rule cnf_or_pos :args (@t197))
% 0.35/0.70  (step @p182 :rule reordering :premises (@p181) :args ((or @t184 @t183 @t181 @t177 @t196 (not @t197))))
% 0.35/0.70  (step @p183 :rule chain_m_resolution :premises (@p182 @p157 @p155 @p149 @p143 @p180) :args (@t196 @t192 (@list @t184 @t182 @t180 @t172 @t197)))
% 0.35/0.70  (step @p184 :rule aci_norm :args ((= @t205 (or @t23 @t203 @t202 @t201))))
% 0.35/0.70  (step @p185 :rule cong :premises (@p184) :args (@t206))
% 0.35/0.70  (step @p186 :rule quant-merge-prenex :args ((= (forall @t18 @t208) @t206)))
% 0.35/0.70  (step @p187 :rule alpha_equiv :args (@t209 (@list @t199 @t198) (@list @t3 @t210)))
% 0.35/0.70  (step @p188 :rule refl :args (@t23))
% 0.35/0.70  (step @p189 :rule nary_cong :premises (@p188 @p187) :args (@t211))
% 0.35/0.70  (step @p190 :rule quant-miniscope-or :args ((= @t208 @t211)))
% 0.35/0.70  (step @p191 :rule trans :premises (@p190 @p189))
% 0.35/0.70  (step @p192 :rule symm :premises (@p191))
% 0.35/0.70  (step @p193 :rule cong :premises (@p192) :args ((forall @t18 (or @t23 @t217))))
% 0.35/0.70  (step @p194 :rule trans :premises (@p193 @p186))
% 0.35/0.70  (step @p195 :rule trans :premises (@p194 @p185))
% 0.35/0.70  (step @p196 :rule refl :args (@t217))
% 0.35/0.70  (step @p197 :rule bool-double-not-elim :args (@t23))
% 0.35/0.70  (step @p198 :rule nary_cong :premises (@p197 @p196) :args ((or (not @t46) @t217)))
% 0.35/0.70  (step @p199 :rule bool-impl-elim :args (@t46 @t217))
% 0.35/0.70  (step @p200 :rule trans :premises (@p199 @p198))
% 0.35/0.70  (step @p201 :rule cong :premises (@p200) :args ((forall @t18 (=> @t46 @t217))))
% 0.35/0.70  (step @p202 :rule trans :premises (@p201 @p195))
% 0.35/0.70  (step @p203 :rule aci_norm :args ((= @t219 @t215)))
% 0.35/0.70  (step @p204 :rule cong :premises (@p203) :args (@t220))
% 0.35/0.70  (step @p205 :rule quant-merge-prenex :args ((= (forall @t10 @t222) @t220)))
% 0.35/0.70  (step @p206 :rule alpha_equiv :args (@t223 (@list @t210) (@list @t29)))
% 0.35/0.70  (step @p207 :rule refl :args (@t214))
% 0.35/0.70  (step @p208 :rule nary_cong :premises (@p207 @p206) :args (@t224))
% 0.35/0.70  (step @p209 :rule quant-miniscope-or :args ((= @t222 @t224)))
% 0.35/0.70  (step @p210 :rule trans :premises (@p209 @p208))
% 0.35/0.70  (step @p211 :rule symm :premises (@p210))
% 0.35/0.70  (step @p212 :rule cong :premises (@p211) :args ((forall @t10 (or @t214 @t226))))
% 0.35/0.70  (step @p213 :rule trans :premises (@p212 @p205))
% 0.35/0.70  (step @p214 :rule trans :premises (@p213 @p204))
% 0.35/0.70  (step @p215 :rule bool-impl-elim :args (@t43 @t226))
% 0.35/0.70  (step @p216 :rule cong :premises (@p215) :args ((forall @t10 (=> @t43 @t226))))
% 0.35/0.70  (step @p217 :rule trans :premises (@p216 @p214))
% 0.35/0.70  (step @p218 :rule bool-impl-elim :args (@t39 @t225))
% 0.35/0.70  (step @p219 :rule cong :premises (@p218) :args ((forall @t41 (=> @t39 @t225))))
% 0.35/0.70  (step @p220 :rule bool-impl-elim :args (@t33 @t32))
% 0.35/0.70  (step @p221 :rule cong :premises (@p220) :args (@t35))
% 0.35/0.70  (step @p222 :rule refl :args (@t36))
% 0.35/0.70  (step @p223 :rule cong :premises (@p222 @p221) :args (@t37))
% 0.35/0.70  (step @p224 :rule refl :args (@t39))
% 0.35/0.70  (step @p225 :rule cong :premises (@p224 @p223) :args (@t40))
% 0.35/0.70  (step @p226 :rule cong :premises (@p225) :args (@t42))
% 0.35/0.70  (step @p227 :rule trans :premises (@p226 @p219))
% 0.35/0.70  (step @p228 :rule refl :args (@t43))
% 0.35/0.70  (step @p229 :rule cong :premises (@p228 @p227) :args (@t44))
% 0.35/0.70  (step @p230 :rule cong :premises (@p229) :args (@t45))
% 0.35/0.70  (step @p231 :rule trans :premises (@p230 @p217))
% 0.35/0.70  (step @p232 :rule refl :args (@t46))
% 0.35/0.70  (step @p233 :rule cong :premises (@p232 @p231) :args (@t47))
% 0.35/0.70  (step @p234 :rule cong :premises (@p233) :args (@t48))
% 0.35/0.70  (step @p235 :rule trans :premises (@p234 @p202))
% 0.35/0.70  (step @p236 :rule eq_resolve :premises (@p6 @p235))
% 0.35/0.70  (step @p237 :rule instantiate :premises (@p236) :args ((@list @t171 @t175 @t174)))
% 0.35/0.70  (step @p238 :rule aci_norm :args ((= @t231 (or @t14 @t132 @t131 @t229 @t228))))
% 0.35/0.70  (step @p239 :rule cong :premises (@p238) :args (@t232))
% 0.35/0.70  (step @p240 :rule quant-merge-prenex :args ((= (forall @t18 @t234) @t232)))
% 0.35/0.70  (step @p241 :rule alpha_equiv :args (@t235 (@list @t227) @t139))
% 0.35/0.70  (step @p242 :rule nary_cong :premises (@p64 @p63 @p62 @p241) :args (@t236))
% 0.35/0.70  (step @p243 :rule quant-miniscope-or :args ((= @t234 @t236)))
% 0.35/0.70  (step @p244 :rule trans :premises (@p243 @p242))
% 0.35/0.70  (step @p245 :rule symm :premises (@p244))
% 0.35/0.70  (step @p246 :rule cong :premises (@p245) :args ((forall @t18 @t238)))
% 0.35/0.70  (step @p247 :rule trans :premises (@p246 @p240))
% 0.35/0.70  (step @p248 :rule trans :premises (@p247 @p239))
% 0.35/0.70  (step @p249 :rule aci_norm :args ((= (or @t144 @t237) @t238)))
% 0.35/0.70  (step @p250 :rule refl :args (@t237))
% 0.35/0.70  (step @p251 :rule nary_cong :premises (@p83 @p250) :args ((or @t147 @t237)))
% 0.35/0.70  (step @p252 :rule trans :premises (@p251 @p249))
% 0.35/0.70  (step @p253 :rule bool-impl-elim :args (@t16 @t237))
% 0.35/0.70  (step @p254 :rule trans :premises (@p253 @p252))
% 0.35/0.70  (step @p255 :rule cong :premises (@p254) :args ((forall @t18 (=> @t16 @t237))))
% 0.35/0.70  (step @p256 :rule trans :premises (@p255 @p248))
% 0.35/0.70  (step @p257 :rule bool-impl-elim :args (@t81 @t73))
% 0.35/0.70  (step @p258 :rule cong :premises (@p257) :args (@t83))
% 0.35/0.70  (step @p259 :rule cong :premises (@p92 @p258) :args (@t84))
% 0.35/0.70  (step @p260 :rule cong :premises (@p259) :args (@t85))
% 0.35/0.70  (step @p261 :rule trans :premises (@p260 @p256))
% 0.35/0.70  (step @p262 :rule eq_resolve :premises (@p18 @p261))
% 0.35/0.70  (step @p263 :rule instantiate :premises (@p262) :args ((@list @t156 @t174)))
% 0.35/0.70  (step @p264 :rule aci_norm :args ((= (or (or @t14 @t132 @t131 @t141 @t239) @t55) (or @t14 @t132 @t131 @t141 @t239 @t55))))
% 0.35/0.70  (step @p265 :rule refl :args (@t55))
% 0.35/0.70  (step @p266 :rule refl :args (@t239))
% 0.35/0.70  (step @p267 :rule nary_cong :premises (@p74 @p63 @p62 @p124 @p266) :args (@t240))
% 0.35/0.70  (step @p268 :rule aci_norm :args ((= (or @t145 (or @t132 (or @t131 (or @t141 @t239)))) @t240)))
% 0.35/0.70  (step @p269 :rule trans :premises (@p268 @p267))
% 0.35/0.70  (step @p270 :rule bool-and-de-morgan :args (@t9 @t56 true))
% 0.35/0.70  (step @p271 :rule nary_cong :premises (@p62 @p270) :args ((or @t131 (not (and @t9 @t56)))))
% 0.35/0.70  (step @p272 :rule bool-and-de-morgan :args (@t12 @t9 (and @t56)))
% 0.35/0.70  (step @p273 :rule trans :premises (@p272 @p271))
% 0.35/0.70  (step @p274 :rule nary_cong :premises (@p63 @p273) :args ((or @t132 (not (and @t12 @t9 @t56)))))
% 0.35/0.70  (step @p275 :rule bool-and-de-morgan :args (@t13 @t12 (and @t9 @t56)))
% 0.35/0.70  (step @p276 :rule trans :premises (@p275 @p274))
% 0.35/0.70  (step @p277 :rule nary_cong :premises (@p79 @p276) :args ((or @t145 (not (and @t13 @t12 @t9 @t56)))))
% 0.35/0.70  (step @p278 :rule bool-and-de-morgan :args (@t15 @t13 (and @t12 @t9 @t56)))
% 0.35/0.70  (step @p279 :rule trans :premises (@p278 @p277))
% 0.35/0.70  (step @p280 :rule trans :premises (@p279 @p269))
% 0.35/0.70  (step @p281 :rule nary_cong :premises (@p280 @p265) :args ((or (not @t57) @t55)))
% 0.35/0.70  (step @p282 :rule trans :premises (@p281 @p264))
% 0.35/0.70  (step @p283 :rule bool-impl-elim :args (@t57 @t55))
% 0.35/0.70  (step @p284 :rule trans :premises (@p283 @p282))
% 0.35/0.70  (step @p285 :rule cong :premises (@p284) :args (@t59))
% 0.35/0.70  (step @p286 :rule eq_resolve :premises (@p9 @p285))
% 0.35/0.70  (step @p287 :rule instantiate :premises (@p286) :args ((@list @t156 @t155 @t173)))
% 0.35/0.70  (step @p288 :rule aci_norm :args ((= (or (or @t14 @t241) @t63) (or @t14 @t241 @t63))))
% 0.35/0.70  (step @p289 :rule refl :args (@t63))
% 0.35/0.70  (step @p290 :rule refl :args (@t241))
% 0.35/0.70  (step @p291 :rule nary_cong :premises (@p74 @p290) :args ((or @t145 @t241)))
% 0.35/0.70  (step @p292 :rule bool-and-de-morgan :args (@t15 @t64 true))
% 0.35/0.70  (step @p293 :rule trans :premises (@p292 @p291))
% 0.35/0.70  (step @p294 :rule nary_cong :premises (@p293 @p289) :args ((or (not @t65) @t63)))
% 0.35/0.70  (step @p295 :rule trans :premises (@p294 @p288))
% 0.35/0.70  (step @p296 :rule bool-impl-elim :args (@t65 @t63))
% 0.35/0.70  (step @p297 :rule trans :premises (@p296 @p295))
% 0.35/0.70  (step @p298 :rule cong :premises (@p297) :args (@t66))
% 0.35/0.70  (step @p299 :rule eq_resolve :premises (@p12 @p298))
% 0.35/0.70  (step @p300 :rule instantiate :premises (@p299) :args (@t242))
% 0.35/0.70  (step @p301 :rule bool-impl-elim :args (@t12 @t70))
% 0.35/0.70  (step @p302 :rule cong :premises (@p301) :args (@t71))
% 0.35/0.70  (step @p303 :rule eq_resolve :premises (@p15 @p302))
% 0.35/0.70  (step @p304 :rule instantiate :premises (@p303) :args (@t242))
% 0.35/0.70  (step @p305 :rule cnf_or_pos :args (@t246))
% 0.35/0.70  (step @p306 :rule reordering :premises (@p305) :args ((or @t181 @t245 (not @t246))))
% 0.35/0.70  (step @p307 :rule chain_m_resolution :premises (@p306 @p149 @p304) :args (@t245 @t247 (@list @t180 @t246)))
% 0.35/0.70  (step @p308 :rule cnf_and_pos :args (@t245 1))
% 0.35/0.70  (step @p309 :rule reordering :premises (@p308) :args ((or @t243 @t248)))
% 0.35/0.70  (step @p310 :rule chain_m_resolution :premises (@p309 @p307) :args (@t243 @t249 @t250))
% 0.35/0.70  (step @p311 :rule cnf_or_pos :args (@t253))
% 0.35/0.70  (step @p312 :rule reordering :premises (@p311) :args ((or @t184 @t251 @t252 (not @t253))))
% 0.35/0.70  (step @p313 :rule chain_m_resolution :premises (@p312 @p157 @p310 @p300) :args (@t251 @t254 (@list @t184 @t243 @t253)))
% 0.35/0.70  (step @p314 :rule cnf_or_pos :args (@t258))
% 0.35/0.70  (step @p315 :rule reordering :premises (@p314) :args ((or @t184 @t183 @t181 @t177 @t257 @t256 (not @t258))))
% 0.35/0.70  (step @p316 :rule chain_m_resolution :premises (@p315 @p157 @p155 @p149 @p143 @p313 @p287) :args (@t256 @t259 (@list @t184 @t182 @t180 @t172 @t251 @t258)))
% 0.35/0.70  (step @p317 :rule cnf_and_pos :args (@t256 1))
% 0.35/0.70  (step @p318 :rule reordering :premises (@p317) :args ((or @t255 (not @t256))))
% 0.35/0.70  (step @p319 :rule chain_m_resolution :premises (@p318 @p316) :args (@t255 @t249 (@list @t256)))
% 0.35/0.70  (step @p320 :rule cnf_or_pos :args (@t263))
% 0.35/0.70  (step @p321 :rule reordering :premises (@p320) :args ((or @t184 @t183 @t181 @t261 @t262 (not @t263))))
% 0.35/0.70  (step @p322 :rule chain_m_resolution :premises (@p321 @p157 @p155 @p149 @p319 @p263) :args (@t261 @t192 (@list @t184 @t182 @t180 @t255 @t263)))
% 0.35/0.70  (step @p323 :rule aci_norm :args ((= @t268 (or @t14 @t132 @t131 @t266 @t265))))
% 0.35/0.70  (step @p324 :rule cong :premises (@p323) :args (@t269))
% 0.35/0.70  (step @p325 :rule quant-merge-prenex :args ((= (forall @t18 @t271) @t269)))
% 0.35/0.70  (step @p326 :rule alpha_equiv :args (@t272 (@list @t264) @t139))
% 0.35/0.70  (step @p327 :rule nary_cong :premises (@p64 @p63 @p62 @p326) :args (@t273))
% 0.35/0.70  (step @p328 :rule quant-miniscope-or :args ((= @t271 @t273)))
% 0.35/0.70  (step @p329 :rule trans :premises (@p328 @p327))
% 0.35/0.70  (step @p330 :rule symm :premises (@p329))
% 0.35/0.70  (step @p331 :rule cong :premises (@p330) :args ((forall @t18 @t275)))
% 0.35/0.70  (step @p332 :rule trans :premises (@p331 @p325))
% 0.35/0.70  (step @p333 :rule trans :premises (@p332 @p324))
% 0.35/0.70  (step @p334 :rule aci_norm :args ((= (or @t144 @t274) @t275)))
% 0.35/0.70  (step @p335 :rule refl :args (@t274))
% 0.35/0.70  (step @p336 :rule nary_cong :premises (@p83 @p335) :args ((or @t147 @t274)))
% 0.35/0.70  (step @p337 :rule trans :premises (@p336 @p334))
% 0.35/0.70  (step @p338 :rule bool-impl-elim :args (@t16 @t274))
% 0.35/0.70  (step @p339 :rule trans :premises (@p338 @p337))
% 0.35/0.70  (step @p340 :rule cong :premises (@p339) :args ((forall @t18 (=> @t16 @t274))))
% 0.35/0.70  (step @p341 :rule trans :premises (@p340 @p333))
% 0.35/0.70  (step @p342 :rule bool-impl-elim :args (@t77 @t76))
% 0.35/0.70  (step @p343 :rule cong :premises (@p342) :args (@t78))
% 0.35/0.70  (step @p344 :rule cong :premises (@p92 @p343) :args (@t79))
% 0.35/0.70  (step @p345 :rule cong :premises (@p344) :args (@t80))
% 0.35/0.70  (step @p346 :rule trans :premises (@p345 @p341))
% 0.35/0.70  (step @p347 :rule eq_resolve :premises (@p16 @p346))
% 0.35/0.70  (step @p348 :rule instantiate :premises (@p347) :args ((@list @t156 @t189)))
% 0.35/0.70  (step @p349 :rule aci_norm :args ((= (or @t193 @t60) (or @t14 @t132 @t131 @t141 @t60))))
% 0.35/0.70  (step @p350 :rule refl :args (@t60))
% 0.35/0.70  (step @p351 :rule nary_cong :premises (@p173 @p350) :args ((or @t195 @t60)))
% 0.35/0.70  (step @p352 :rule trans :premises (@p351 @p349))
% 0.35/0.70  (step @p353 :rule bool-impl-elim :args (@t61 @t60))
% 0.35/0.70  (step @p354 :rule trans :premises (@p353 @p352))
% 0.35/0.70  (step @p355 :rule cong :premises (@p354) :args (@t62))
% 0.35/0.70  (step @p356 :rule eq_resolve :premises (@p10 @p355))
% 0.35/0.70  (step @p357 :rule instantiate :premises (@p356) :args (@t157))
% 0.35/0.70  (step @p358 :rule cnf_or_pos :args (@t277))
% 0.35/0.70  (step @p359 :rule reordering :premises (@p358) :args ((or @t184 @t183 @t181 @t177 @t276 (not @t277))))
% 0.35/0.70  (step @p360 :rule chain_m_resolution :premises (@p359 @p157 @p155 @p149 @p143 @p357) :args (@t276 @t192 (@list @t184 @t182 @t180 @t172 @t277)))
% 0.35/0.70  (step @p361 :rule cnf_or_pos :args (@t281))
% 0.35/0.70  (step @p362 :rule reordering :premises (@p361) :args ((or @t184 @t183 @t181 @t280 @t279 (not @t281))))
% 0.35/0.70  (step @p363 :rule chain_m_resolution :premises (@p362 @p157 @p155 @p149 @p360 @p348) :args (@t279 @t192 (@list @t184 @t182 @t180 @t276 @t281)))
% 0.35/0.70  (step @p364 :rule cnf_and_pos :args (@t279 1))
% 0.35/0.70  (step @p365 :rule reordering :premises (@p364) :args ((or @t278 (not @t279))))
% 0.35/0.70  (step @p366 :rule chain_m_resolution :premises (@p365 @p363) :args (@t278 @t249 (@list @t279)))
% 0.35/0.70  (step @p367 :rule true_intro :premises (@p366))
% 0.35/0.70  (step @p368 :rule refl :args (@t260))
% 0.35/0.70  (step @p369 :rule cong :premises (@p183 @p368) :args (@t282))
% 0.35/0.70  (step @p370 :rule trans :premises (@p369 @p367))
% 0.35/0.70  (step @p371 :rule true_elim :premises (@p370))
% 0.35/0.70  (step @p372 :rule aci_norm :args ((= (or (or @t14 @t283) @t86) (or @t14 @t283 @t86))))
% 0.35/0.70  (step @p373 :rule refl :args (@t86))
% 0.35/0.70  (step @p374 :rule refl :args (@t283))
% 0.35/0.70  (step @p375 :rule nary_cong :premises (@p74 @p374) :args ((or @t145 @t283)))
% 0.35/0.70  (step @p376 :rule bool-and-de-morgan :args (@t15 @t67 true))
% 0.35/0.70  (step @p377 :rule trans :premises (@p376 @p375))
% 0.35/0.70  (step @p378 :rule nary_cong :premises (@p377 @p373) :args ((or (not @t87) @t86)))
% 0.35/0.70  (step @p379 :rule trans :premises (@p378 @p372))
% 0.35/0.70  (step @p380 :rule bool-impl-elim :args (@t87 @t86))
% 0.35/0.70  (step @p381 :rule trans :premises (@p380 @p379))
% 0.35/0.70  (step @p382 :rule cong :premises (@p381) :args (@t88))
% 0.35/0.70  (step @p383 :rule eq_resolve :premises (@p27 @p382))
% 0.35/0.70  (step @p384 :rule instantiate :premises (@p383) :args (@t242))
% 0.35/0.70  (step @p385 :rule bool-impl-elim :args (@t68 @t67))
% 0.35/0.70  (step @p386 :rule cong :premises (@p385) :args (@t69))
% 0.35/0.70  (step @p387 :rule eq_resolve :premises (@p13 @p386))
% 0.35/0.70  (step @p388 :rule instantiate :premises (@p387) :args (@t242))
% 0.35/0.70  (step @p389 :rule cnf_and_pos :args (@t245 0))
% 0.35/0.70  (step @p390 :rule reordering :premises (@p389) :args ((or @t244 @t248)))
% 0.35/0.70  (step @p391 :rule chain_m_resolution :premises (@p390 @p307) :args (@t244 @t249 @t250))
% 0.35/0.70  (step @p392 :rule cnf_or_pos :args (@t286))
% 0.35/0.70  (step @p393 :rule reordering :premises (@p392) :args ((or @t284 @t285 (not @t286))))
% 0.35/0.70  (step @p394 :rule chain_m_resolution :premises (@p393 @p391 @p388) :args (@t284 @t247 (@list @t244 @t286)))
% 0.35/0.70  (step @p395 :rule cnf_or_pos :args (@t290))
% 0.35/0.70  (step @p396 :rule reordering :premises (@p395) :args ((or @t184 @t289 @t288 (not @t290))))
% 0.35/0.70  (step @p397 :rule chain_m_resolution :premises (@p396 @p157 @p394 @p384) :args (@t288 @t254 (@list @t184 @t284 @t290)))
% 0.35/0.70  (step @p398 :rule cnf_or_pos :args (@t295))
% 0.35/0.70  (step @p399 :rule reordering :premises (@p398) :args ((or @t287 @t294 @t293 @t292 (not @t295))))
% 0.35/0.70  (step @p400 :rule chain_m_resolution :premises (@p399 @p397 @p371 @p322 @p237) :args (@t292 (@list true false false false) (@list @t287 @t282 @t261 @t295)))
% 0.35/0.70  (step @p401 :rule cnf_or_neg :args (@t185 5))
% 0.35/0.70  (step @p402 :rule chain_m_resolution :premises (@p401 @p136) :args ((not @t176) @t186 @t187))
% 0.35/0.70  (step @p403 :rule cnf_equiv_pos2 :args (@t292))
% 0.35/0.70  (step @p404 :rule reordering :premises (@p403) :args ((or @t176 @t296 (not @t292))))
% 0.35/0.70  (step @p405 :rule chain_m_resolution :premises (@p404 @p402 @p400) :args (@t296 @t297 (@list @t176 @t292)))
% 0.35/0.70  (step @p406 :rule skolemize :premises (@p405))
% 0.35/0.70  (step @p407 :rule cnf_or_neg :args (@t304 1))
% 0.35/0.70  (step @p408 :rule chain_m_resolution :premises (@p407 @p406) :args ((not @t301) @t186 @t305))
% 0.35/0.70  (step @p409 :rule cnf_equiv_neg1 :args (@t301))
% 0.35/0.70  (step @p410 :rule reordering :premises (@p409) :args ((or @t300 @t299 @t301)))
% 0.35/0.70  (step @p411 :rule aci_norm :args ((= @t315 (or @t14 @t132 @t131 @t313 @t312 @t311 @t310 @t309))))
% 0.35/0.70  (step @p412 :rule cong :premises (@p411) :args (@t316))
% 0.35/0.70  (step @p413 :rule quant-merge-prenex :args ((= (forall @t18 @t318) @t316)))
% 0.35/0.70  (step @p414 :rule alpha_equiv :args (@t319 (@list @t308 @t306 @t307) (@list @t3 @t321 @t320)))
% 0.35/0.70  (step @p415 :rule nary_cong :premises (@p64 @p63 @p62 @p414) :args (@t322))
% 0.35/0.70  (step @p416 :rule quant-miniscope-or :args ((= @t318 @t322)))
% 0.35/0.70  (step @p417 :rule trans :premises (@p416 @p415))
% 0.35/0.70  (step @p418 :rule symm :premises (@p417))
% 0.35/0.70  (step @p419 :rule cong :premises (@p418) :args ((forall @t18 @t330)))
% 0.35/0.70  (step @p420 :rule trans :premises (@p419 @p413))
% 0.35/0.70  (step @p421 :rule trans :premises (@p420 @p412))
% 0.35/0.70  (step @p422 :rule aci_norm :args ((= (or @t144 @t329) @t330)))
% 0.35/0.70  (step @p423 :rule refl :args (@t329))
% 0.35/0.70  (step @p424 :rule nary_cong :premises (@p83 @p423) :args ((or @t147 @t329)))
% 0.35/0.70  (step @p425 :rule trans :premises (@p424 @p422))
% 0.35/0.70  (step @p426 :rule bool-impl-elim :args (@t16 @t329))
% 0.35/0.70  (step @p427 :rule trans :premises (@p426 @p425))
% 0.35/0.70  (step @p428 :rule cong :premises (@p427) :args ((forall @t18 (=> @t16 @t329))))
% 0.35/0.70  (step @p429 :rule trans :premises (@p428 @p421))
% 0.35/0.70  (step @p430 :rule aci_norm :args ((= @t332 @t327)))
% 0.35/0.70  (step @p431 :rule cong :premises (@p430) :args (@t333))
% 0.35/0.70  (step @p432 :rule quant-merge-prenex :args ((= (forall @t10 @t335) @t333)))
% 0.35/0.70  (step @p433 :rule alpha_equiv :args (@t336 (@list @t321 @t320) (@list @t29 @t337)))
% 0.35/0.70  (step @p434 :rule nary_cong :premises (@p124 @p433) :args (@t338))
% 0.35/0.70  (step @p435 :rule quant-miniscope-or :args ((= @t335 @t338)))
% 0.35/0.70  (step @p436 :rule trans :premises (@p435 @p434))
% 0.35/0.70  (step @p437 :rule symm :premises (@p436))
% 0.35/0.70  (step @p438 :rule cong :premises (@p437) :args ((forall @t10 (or @t141 @t344))))
% 0.35/0.70  (step @p439 :rule trans :premises (@p438 @p432))
% 0.35/0.70  (step @p440 :rule trans :premises (@p439 @p431))
% 0.35/0.70  (step @p441 :rule bool-impl-elim :args (@t9 @t344))
% 0.35/0.70  (step @p442 :rule cong :premises (@p441) :args ((forall @t10 (=> @t9 @t344))))
% 0.35/0.70  (step @p443 :rule trans :premises (@p442 @p440))
% 0.35/0.70  (step @p444 :rule aci_norm :args ((= @t346 @t342)))
% 0.35/0.70  (step @p445 :rule cong :premises (@p444) :args (@t347))
% 0.35/0.70  (step @p446 :rule quant-merge-prenex :args ((= (forall @t41 @t349) @t347)))
% 0.35/0.70  (step @p447 :rule alpha_equiv :args (@t350 (@list @t337) (@list @t30)))
% 0.35/0.70  (step @p448 :rule refl :args (@t341))
% 0.35/0.70  (step @p449 :rule nary_cong :premises (@p266 @p448 @p447) :args (@t351))
% 0.35/0.70  (step @p450 :rule quant-miniscope-or :args ((= @t349 @t351)))
% 0.35/0.70  (step @p451 :rule trans :premises (@p450 @p449))
% 0.35/0.70  (step @p452 :rule symm :premises (@p451))
% 0.35/0.70  (step @p453 :rule cong :premises (@p452) :args ((forall @t41 @t355)))
% 0.35/0.70  (step @p454 :rule trans :premises (@p453 @p446))
% 0.35/0.70  (step @p455 :rule trans :premises (@p454 @p445))
% 0.35/0.70  (step @p456 :rule aci_norm :args ((= (or @t239 @t356) @t355)))
% 0.35/0.70  (step @p457 :rule bool-impl-elim :args (@t56 @t356))
% 0.35/0.70  (step @p458 :rule trans :premises (@p457 @p456))
% 0.35/0.70  (step @p459 :rule cong :premises (@p458) :args ((forall @t41 (=> @t56 @t356))))
% 0.35/0.70  (step @p460 :rule trans :premises (@p459 @p455))
% 0.35/0.70  (step @p461 :rule quant-miniscope-or :args ((= (forall @t34 @t357) @t356)))
% 0.35/0.70  (step @p462 :rule aci_norm :args ((= @t358 @t357)))
% 0.35/0.70  (step @p463 :rule cong :premises (@p462) :args ((forall @t34 @t358)))
% 0.35/0.70  (step @p464 :rule trans :premises (@p463 @p461))
% 0.35/0.70  (step @p465 :rule aci_norm :args ((= (or @t352 (or @t341 @t118)) @t358)))
% 0.35/0.70  (step @p466 :rule bool-impl-elim :args (@t108 @t118))
% 0.35/0.70  (step @p467 :rule refl :args (@t352))
% 0.35/0.70  (step @p468 :rule nary_cong :premises (@p467 @p466) :args ((or @t352 @t119)))
% 0.35/0.70  (step @p469 :rule trans :premises (@p468 @p465))
% 0.35/0.70  (step @p470 :rule bool-impl-elim :args (@t120 @t119))
% 0.35/0.70  (step @p471 :rule trans :premises (@p470 @p469))
% 0.35/0.70  (step @p472 :rule cong :premises (@p471) :args (@t121))
% 0.35/0.70  (step @p473 :rule trans :premises (@p472 @p464))
% 0.35/0.70  (step @p474 :rule refl :args (@t56))
% 0.35/0.70  (step @p475 :rule cong :premises (@p474 @p473) :args (@t122))
% 0.35/0.70  (step @p476 :rule cong :premises (@p475) :args (@t123))
% 0.35/0.70  (step @p477 :rule trans :premises (@p476 @p460))
% 0.35/0.70  (step @p478 :rule refl :args (@t9))
% 0.35/0.70  (step @p479 :rule cong :premises (@p478 @p477) :args (@t124))
% 0.35/0.70  (step @p480 :rule cong :premises (@p479) :args (@t125))
% 0.35/0.70  (step @p481 :rule trans :premises (@p480 @p443))
% 0.35/0.70  (step @p482 :rule cong :premises (@p92 @p481) :args (@t126))
% 0.35/0.70  (step @p483 :rule cong :premises (@p482) :args (@t127))
% 0.35/0.70  (step @p484 :rule trans :premises (@p483 @p429))
% 0.35/0.70  (step @p485 :rule eq_resolve :premises (@p54 @p484))
% 0.35/0.70  (step @p486 :rule instantiate :premises (@p485) :args ((@list @t156 @t155 @t173 @t298)))
% 0.35/0.70  (step @p487 :rule bool-double-not-elim :args (@t302))
% 0.35/0.70  (step @p488 :rule refl :args (@t304))
% 0.35/0.70  (step @p489 :rule nary_cong :premises (@p488 @p487) :args ((or @t304 (not @t303))))
% 0.35/0.70  (step @p490 :rule cnf_or_neg :args (@t304 0))
% 0.35/0.70  (step @p491 :rule eq_resolve :premises (@p490 @p489))
% 0.35/0.70  (step @p492 :rule reordering :premises (@p491) :args ((or @t302 @t304)))
% 0.35/0.70  (step @p493 :rule chain_m_resolution :premises (@p492 @p406) :args (@t302 @t186 @t305))
% 0.35/0.70  (step @p494 :rule aci_norm :args ((= @t363 (or @t14 @t132 @t151 @t131 @t361 @t360))))
% 0.35/0.70  (step @p495 :rule cong :premises (@p494) :args (@t364))
% 0.35/0.70  (step @p496 :rule quant-merge-prenex :args ((= (forall @t18 @t366) @t364)))
% 0.35/0.70  (step @p497 :rule alpha_equiv :args (@t367 (@list @t359) @t139))
% 0.35/0.70  (step @p498 :rule nary_cong :premises (@p64 @p63 @p102 @p62 @p497) :args (@t368))
% 0.35/0.70  (step @p499 :rule quant-miniscope-or :args ((= @t366 @t368)))
% 0.35/0.70  (step @p500 :rule trans :premises (@p499 @p498))
% 0.35/0.70  (step @p501 :rule symm :premises (@p500))
% 0.35/0.70  (step @p502 :rule cong :premises (@p501) :args ((forall @t18 @t370)))
% 0.35/0.70  (step @p503 :rule trans :premises (@p502 @p496))
% 0.35/0.70  (step @p504 :rule trans :premises (@p503 @p495))
% 0.35/0.70  (step @p505 :rule aci_norm :args ((= (or (or @t14 @t132 @t151 @t131) @t369) @t370)))
% 0.35/0.70  (step @p506 :rule refl :args (@t369))
% 0.35/0.70  (step @p507 :rule nary_cong :premises (@p74 @p63 @p102 @p62) :args (@t371))
% 0.35/0.70  (step @p508 :rule aci_norm :args ((= (or @t145 (or @t132 (or @t151 @t131))) @t371)))
% 0.35/0.70  (step @p509 :rule trans :premises (@p508 @p507))
% 0.35/0.70  (step @p510 :rule bool-and-de-morgan :args (@t7 @t12 true))
% 0.35/0.70  (step @p511 :rule nary_cong :premises (@p63 @p510) :args ((or @t132 (not (and @t7 @t12)))))
% 0.35/0.70  (step @p512 :rule bool-and-de-morgan :args (@t13 @t7 (and @t12)))
% 0.35/0.70  (step @p513 :rule trans :premises (@p512 @p511))
% 0.35/0.70  (step @p514 :rule nary_cong :premises (@p79 @p513) :args ((or @t145 (not (and @t13 @t7 @t12)))))
% 0.35/0.70  (step @p515 :rule bool-and-de-morgan :args (@t15 @t13 (and @t7 @t12)))
% 0.35/0.70  (step @p516 :rule trans :premises (@p515 @p514))
% 0.35/0.70  (step @p517 :rule trans :premises (@p516 @p509))
% 0.35/0.70  (step @p518 :rule nary_cong :premises (@p517 @p506) :args ((or (not @t114) @t369)))
% 0.35/0.70  (step @p519 :rule trans :premises (@p518 @p505))
% 0.35/0.70  (step @p520 :rule bool-impl-elim :args (@t114 @t369))
% 0.35/0.70  (step @p521 :rule trans :premises (@p520 @p519))
% 0.35/0.70  (step @p522 :rule cong :premises (@p521) :args ((forall @t18 (=> @t114 @t369))))
% 0.35/0.70  (step @p523 :rule trans :premises (@p522 @p504))
% 0.35/0.70  (step @p524 :rule bool-impl-elim :args (@t9 @t112))
% 0.35/0.70  (step @p525 :rule cong :premises (@p524) :args (@t113))
% 0.35/0.70  (step @p526 :rule refl :args (@t114))
% 0.35/0.70  (step @p527 :rule cong :premises (@p526 @p525) :args (@t115))
% 0.35/0.70  (step @p528 :rule cong :premises (@p527) :args (@t116))
% 0.35/0.70  (step @p529 :rule trans :premises (@p528 @p523))
% 0.35/0.70  (step @p530 :rule eq_resolve :premises (@p51 @p529))
% 0.35/0.70  (step @p531 :rule instantiate :premises (@p530) :args (@t157))
% 0.35/0.70  (step @p532 :rule bool-double-not-elim :args (@t178))
% 0.35/0.70  (step @p533 :rule nary_cong :premises (@p138 @p532) :args ((or @t185 (not @t179))))
% 0.35/0.70  (step @p534 :rule cnf_or_neg :args (@t185 3))
% 0.35/0.70  (step @p535 :rule eq_resolve :premises (@p534 @p533))
% 0.35/0.70  (step @p536 :rule reordering :premises (@p535) :args ((or @t178 @t185)))
% 0.35/0.70  (step @p537 :rule chain_m_resolution :premises (@p536 @p136) :args (@t178 @t186 @t187))
% 0.35/0.70  (step @p538 :rule cnf_or_pos :args (@t373))
% 0.35/0.70  (step @p539 :rule reordering :premises (@p538) :args ((or @t184 @t183 @t181 @t179 @t177 @t372 (not @t373))))
% 0.35/0.70  (step @p540 :rule chain_m_resolution :premises (@p539 @p157 @p155 @p149 @p537 @p143 @p531) :args (@t372 @t259 (@list @t184 @t182 @t180 @t178 @t172 @t373)))
% 0.35/0.70  (step @p541 :rule cnf_or_pos :args (@t379))
% 0.35/0.70  (step @p542 :rule reordering :premises (@p541) :args ((or @t184 @t183 @t181 @t177 @t257 @t378 @t303 @t377 (not @t379))))
% 0.35/0.70  (step @p543 :rule chain_m_resolution :premises (@p542 @p157 @p155 @p149 @p143 @p313 @p540 @p493 @p486) :args (@t377 (@list true false false false false false false false) (@list @t184 @t182 @t180 @t172 @t251 @t372 @t302 @t379)))
% 0.35/0.70  (step @p544 :rule cnf_equiv_pos2 :args (@t377))
% 0.35/0.70  (step @p545 :rule reordering :premises (@p544) :args ((or @t299 @t381 @t380)))
% 0.35/0.70  (step @p546 :rule instantiate :premises (@p530) :args ((@list @t156 @t298)))
% 0.35/0.70  (step @p547 :rule cnf_or_pos :args (@t382))
% 0.35/0.70  (step @p548 :rule reordering :premises (@p547) :args ((or @t184 @t183 @t181 @t179 @t303 @t374 (not @t382))))
% 0.35/0.70  (step @p549 :rule chain_m_resolution :premises (@p548 @p157 @p155 @p149 @p537 @p493 @p546) :args (@t374 @t259 (@list @t184 @t182 @t180 @t178 @t302 @t382)))
% 0.35/0.70  (step @p550 :rule cnf_and_neg :args (@t376))
% 0.35/0.70  (step @p551 :rule cnf_and_pos :args (@t383 1))
% 0.35/0.70  (step @p552 :rule reordering :premises (@p551) :args ((or @t375 @t384)))
% 0.35/0.70  (step @p553 :rule aci_norm :args ((= (or (or @t100 @t390 @t389 @t388) @t387) (or @t100 @t390 @t389 @t388 @t387))))
% 0.35/0.70  (step @p554 :rule bool-double-not-elim :args (@t385))
% 0.35/0.70  (step @p555 :rule bool-double-not-elim :args (@t386))
% 0.35/0.70  (step @p556 :rule nary_cong :premises (@p555 @p554) :args ((and (not @t392) (not @t391))))
% 0.35/0.70  (step @p557 :rule bool-or-de-morgan :args (@t392 @t391 false))
% 0.35/0.70  (step @p558 :rule trans :premises (@p557 @p556))
% 0.35/0.70  (step @p559 :rule refl :args (@t95))
% 0.35/0.70  (step @p560 :rule cong :premises (@p559 @p558) :args (@t394))
% 0.35/0.70  (step @p561 :rule refl :args (@t388))
% 0.35/0.70  (step @p562 :rule refl :args (@t389))
% 0.35/0.70  (step @p563 :rule refl :args (@t390))
% 0.35/0.70  (step @p564 :rule bool-double-not-elim :args (@t100))
% 0.35/0.70  (step @p565 :rule nary_cong :premises (@p564 @p563 @p562 @p561) :args (@t396))
% 0.35/0.70  (step @p566 :rule aci_norm :args ((= (or @t395 (or @t390 (or @t389 @t388))) @t396)))
% 0.35/0.70  (step @p567 :rule trans :premises (@p566 @p565))
% 0.35/0.70  (step @p568 :rule bool-and-de-morgan :args (@t98 @t97 true))
% 0.35/0.70  (step @p569 :rule nary_cong :premises (@p563 @p568) :args ((or @t390 (not (and @t98 @t97)))))
% 0.35/0.70  (step @p570 :rule bool-and-de-morgan :args (@t99 @t98 (and @t97)))
% 0.35/0.70  (step @p571 :rule trans :premises (@p570 @p569))
% 0.35/0.70  (step @p572 :rule refl :args (@t395))
% 0.35/0.70  (step @p573 :rule nary_cong :premises (@p572 @p571) :args ((or @t395 (not (and @t99 @t98 @t97)))))
% 0.35/0.70  (step @p574 :rule bool-and-de-morgan :args (@t101 @t99 (and @t98 @t97)))
% 0.35/0.70  (step @p575 :rule trans :premises (@p574 @p573))
% 0.35/0.70  (step @p576 :rule trans :premises (@p575 @p567))
% 0.35/0.70  (step @p577 :rule nary_cong :premises (@p576 @p560) :args ((or (not @t102) @t394)))
% 0.35/0.70  (step @p578 :rule trans :premises (@p577 @p553))
% 0.35/0.70  (step @p579 :rule bool-impl-elim :args (@t102 @t394))
% 0.35/0.70  (step @p580 :rule trans :premises (@p579 @p578))
% 0.35/0.70  (step @p581 :rule cong :premises (@p580) :args ((forall @t58 (=> @t102 @t394))))
% 0.35/0.70  (step @p582 :rule aci_norm :args ((= (or @t392 false @t391) @t393)))
% 0.35/0.70  (step @p583 :rule refl :args (@t391))
% 0.35/0.70  (step @p584 :rule evaluate :args ((not true)))
% 0.35/0.70  (step @p585 :rule eq-refl :args (@t1))
% 0.35/0.70  (step @p586 :rule cong :premises (@p585) :args (@t397))
% 0.35/0.70  (step @p587 :rule trans :premises (@p586 @p584))
% 0.35/0.70  (step @p588 :rule refl :args (@t392))
% 0.35/0.70  (step @p589 :rule nary_cong :premises (@p588 @p587 @p583) :args (@t398))
% 0.35/0.70  (step @p590 :rule trans :premises (@p589 @p582))
% 0.35/0.70  (step @p591 :rule quant-var-elim-eq :args ((= (forall @t34 (or (not (= @t30 @t1)) @t401 @t400 @t399)) @t398)))
% 0.35/0.70  (step @p592 :rule refl :args (@t399))
% 0.35/0.70  (step @p593 :rule refl :args (@t400))
% 0.35/0.70  (step @p594 :rule refl :args (@t401))
% 0.35/0.70  (step @p595 :rule eq-symm :args (@t1 @t30))
% 0.35/0.70  (step @p596 :rule cong :premises (@p595) :args (@t400))
% 0.35/0.70  (step @p597 :rule nary_cong :premises (@p596 @p594 @p593 @p592) :args (@t402))
% 0.35/0.70  (step @p598 :rule aci_norm :args ((= @t403 @t402)))
% 0.35/0.70  (step @p599 :rule trans :premises (@p598 @p597))
% 0.35/0.70  (step @p600 :rule cong :premises (@p599) :args ((forall @t34 @t403)))
% 0.35/0.70  (step @p601 :rule trans :premises (@p600 @p591))
% 0.35/0.70  (step @p602 :rule trans :premises (@p601 @p590))
% 0.35/0.70  (step @p603 :rule aci_norm :args ((= (or @t401 (or @t400 @t399)) @t403)))
% 0.35/0.70  (step @p604 :rule bool-and-de-morgan :args (@t90 @t89 true))
% 0.35/0.70  (step @p605 :rule nary_cong :premises (@p594 @p604) :args ((or @t401 (not (and @t90 @t89)))))
% 0.35/0.70  (step @p606 :rule bool-and-de-morgan :args (@t92 @t90 (and @t89)))
% 0.35/0.70  (step @p607 :rule trans :premises (@p606 @p605))
% 0.35/0.70  (step @p608 :rule trans :premises (@p607 @p603))
% 0.35/0.70  (step @p609 :rule cong :premises (@p608) :args (@t404))
% 0.35/0.70  (step @p610 :rule trans :premises (@p609 @p602))
% 0.35/0.70  (step @p611 :rule cong :premises (@p610) :args (@t405))
% 0.35/0.70  (step @p612 :rule exists-elim :args ((= @t94 @t405)))
% 0.35/0.70  (step @p613 :rule trans :premises (@p612 @p611))
% 0.35/0.70  (step @p614 :rule refl :args (@t95))
% 0.35/0.70  (step @p615 :rule cong :premises (@p614 @p613) :args (@t96))
% 0.35/0.70  (step @p616 :rule refl :args (@t102))
% 0.35/0.70  (step @p617 :rule cong :premises (@p616 @p615) :args (@t103))
% 0.35/0.70  (step @p618 :rule cong :premises (@p617) :args (@t104))
% 0.35/0.70  (step @p619 :rule trans :premises (@p618 @p581))
% 0.35/0.70  (step @p620 :rule eq_resolve :premises (@p30 @p619))
% 0.35/0.70  (step @p621 :rule instantiate :premises (@p620) :args ((@list @t298 @t156 @t155)))
% 0.35/0.70  (step @p622 :rule cnf_or_pos :args (@t408))
% 0.35/0.70  (step @p623 :rule reordering :premises (@p622) :args ((or @t184 @t183 @t181 @t177 @t407 (not @t408))))
% 0.35/0.70  (step @p624 :rule chain_m_resolution :premises (@p623 @p157 @p155 @p149 @p143 @p621) :args (@t407 @t192 (@list @t184 @t182 @t180 @t172 @t408)))
% 0.35/0.70  (step @p625 :rule cnf_equiv_pos1 :args (@t407))
% 0.35/0.70  (step @p626 :rule reordering :premises (@p625) :args ((or @t383 @t410 @t409)))
% 0.35/0.70  (assume-push @p698 @t190)
% 0.35/0.70  (assume-push @p699 @t196)
% 0.35/0.70  (assume-push @p700 @t300)
% 0.35/0.70  (assume-push @p701 @t300)
% 0.35/0.70  (assume-push @p702 @t196)
% 0.35/0.70  (assume-push @p703 @t190)
% 0.35/0.70  (step @p633 :rule true_intro :premises (@p700))
% 0.35/0.70  (step @p634 :rule symm :premises (@p183))
% 0.35/0.70  (step @p635 :rule symm :premises (@p160))
% 0.35/0.70  (step @p636 :rule trans :premises (@p635 @p634))
% 0.35/0.70  (step @p637 :rule refl :args (@t298))
% 0.35/0.70  (step @p638 :rule cong :premises (@p637 @p636) :args (@t406))
% 0.35/0.70  (step @p639 :rule trans :premises (@p638 @p633))
% 0.35/0.70  (step @p640 :rule true_elim :premises (@p639))
% 0.35/0.70  (step-pop @p704 :rule scope :premises (@p640))
% 0.35/0.70  (step-pop @p705 :rule scope :premises (@p704))
% 0.35/0.70  (step-pop @p706 :rule scope :premises (@p705))
% 0.35/0.70  (step @p641 :rule process_scope :premises (@p706) :args (@t406))
% 0.35/0.70  (step @p645 :rule and_intro :premises (@p700 @p183 @p160))
% 0.35/0.70  (step @p646 :rule modus_ponens :premises (@p645 @p641))
% 0.35/0.70  (step-pop @p707 :rule scope :premises (@p646))
% 0.35/0.70  (step-pop @p708 :rule scope :premises (@p707))
% 0.35/0.70  (step-pop @p709 :rule scope :premises (@p708))
% 0.35/0.70  (step @p647 :rule process_scope :premises (@p709) :args (@t406))
% 0.35/0.70  (step @p651 :rule implies_elim :premises (@p647))
% 0.35/0.70  (step @p652 :rule cnf_and_neg :args (@t411))
% 0.35/0.70  (step @p653 :rule resolution :premises (@p652 @p651) :args (true @t411))
% 0.35/0.70  (step @p654 :rule chain_m_resolution :premises (@p653 @p183 @p160 @p626 @p624 @p552 @p550 @p549 @p545 @p543 @p410 @p408) :args (@t299 (@list false false true false true true false true false false true) (@list @t196 @t190 @t406 @t407 @t383 @t375 @t374 @t376 @t377 @t300 @t301)))
% 0.35/0.70  (step @p655 :rule cnf_equiv_neg2 :args (@t301))
% 0.35/0.70  (step @p656 :rule chain_m_resolution :premises (@p655 @p408 @p654) :args (@t412 @t297 (@list @t301 @t299)))
% 0.35/0.70  (step @p657 :rule cnf_equiv_pos1 :args (@t377))
% 0.35/0.70  (step @p658 :rule reordering :premises (@p657) :args ((or (not @t299) @t376 @t380)))
% 0.35/0.70  (step @p659 :rule chain_m_resolution :premises (@p658 @p654 @p543) :args (@t376 @t247 (@list @t299 @t377)))
% 0.35/0.70  (step @p660 :rule cnf_and_pos :args (@t376 0))
% 0.35/0.70  (step @p661 :rule reordering :premises (@p660) :args ((or @t375 @t381)))
% 0.35/0.70  (step @p662 :rule chain_m_resolution :premises (@p661 @p659) :args (@t375 @t249 (@list @t376)))
% 0.35/0.70  (step @p663 :rule cnf_and_neg :args (@t383))
% 0.35/0.70  (step @p664 :rule reordering :premises (@p663) :args ((or @t303 @t383 (not @t375))))
% 0.35/0.70  (step @p665 :rule chain_m_resolution :premises (@p664 @p493 @p662) :args (@t383 @t247 (@list @t302 @t375)))
% 0.35/0.70  (step @p666 :rule cnf_equiv_pos2 :args (@t407))
% 0.35/0.70  (step @p667 :rule reordering :premises (@p666) :args ((or @t406 @t384 @t409)))
% 0.35/0.70  (step @p668 :rule chain_m_resolution :premises (@p667 @p665 @p624) :args (@t406 @t247 (@list @t383 @t407)))
% 0.35/0.70  (step @p669 :rule refl :args (@t410))
% 0.35/0.70  (step @p670 :rule bool-double-not-elim :args (@t300))
% 0.35/0.70  (step @p671 :rule refl :args (@t413))
% 0.35/0.70  (step @p672 :rule refl :args (@t414))
% 0.35/0.70  (step @p673 :rule nary_cong :premises (@p672 @p671 @p670 @p669) :args ((or @t414 @t413 (not @t412) @t410)))
% 0.35/0.70  (assume-push @p710 @t190)
% 0.35/0.70  (assume-push @p711 @t196)
% 0.35/0.70  (assume-push @p712 @t412)
% 0.35/0.70  (assume-push @p713 @t412)
% 0.35/0.70  (assume-push @p714 @t196)
% 0.35/0.70  (assume-push @p715 @t190)
% 0.35/0.70  (step @p680 :rule false_intro :premises (@p712))
% 0.35/0.70  (step @p634 :rule symm :premises (@p183))
% 0.35/0.70  (step @p635 :rule symm :premises (@p160))
% 0.35/0.70  (step @p636 :rule trans :premises (@p635 @p634))
% 0.35/0.70  (step @p637 :rule refl :args (@t298))
% 0.35/0.70  (step @p638 :rule cong :premises (@p637 @p636) :args (@t406))
% 0.35/0.70  (step @p681 :rule trans :premises (@p638 @p680))
% 0.35/0.70  (step @p682 :rule false_elim :premises (@p681))
% 0.35/0.70  (step-pop @p716 :rule scope :premises (@p682))
% 0.35/0.70  (step-pop @p717 :rule scope :premises (@p716))
% 0.35/0.70  (step-pop @p718 :rule scope :premises (@p717))
% 0.35/0.70  (step @p683 :rule process_scope :premises (@p718) :args (@t410))
% 0.35/0.70  (step @p687 :rule and_intro :premises (@p712 @p183 @p160))
% 0.35/0.70  (step @p688 :rule modus_ponens :premises (@p687 @p683))
% 0.35/0.70  (step-pop @p719 :rule scope :premises (@p688))
% 0.35/0.70  (step-pop @p720 :rule scope :premises (@p719))
% 0.35/0.70  (step-pop @p721 :rule scope :premises (@p720))
% 0.35/0.70  (step @p689 :rule process_scope :premises (@p721) :args (@t410))
% 0.35/0.70  (step @p693 :rule implies_elim :premises (@p689))
% 0.35/0.70  (step @p694 :rule cnf_and_neg :args (@t415))
% 0.35/0.70  (step @p695 :rule resolution :premises (@p694 @p693) :args (true @t415))
% 0.35/0.70  (step @p696 :rule eq_resolve :premises (@p695 @p673))
% 0.35/0.70  (step @p697 false :rule chain_m_resolution :premises (@p696 @p668 @p656 @p183 @p160) :args (false (@list false true false false) (@list @t406 @t300 @t196 @t190)))
% 0.35/0.70  )
% 0.35/0.70  % SZS output end Proof
% 0.35/0.70  % cvc5 exiting
%------------------------------------------------------------------------------