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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU413+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 : n018.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 08:51:41 AM UTC 2026

% Result   : Theorem 0.35s 0.63s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU413+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
% 0.16/0.35  % Computer : n018.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Tue Jun  2 17:14:35 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.26/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.35/0.63  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.35/0.63  % SZS status Theorem
% 0.35/0.63  % SZS output start Proof
% 0.35/0.63  (
% 0.35/0.63  (declare-sort $$unsorted 0)
% 0.35/0.63  (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool))
% 0.35/0.63  (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool))
% 0.35/0.63  (declare-const tptp.l1_struct_0 (-> $$unsorted Bool))
% 0.35/0.63  (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.35/0.63  (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted))
% 0.35/0.63  (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted))
% 0.35/0.63  (declare-const tptp.u1_orders_2 (-> $$unsorted $$unsorted))
% 0.35/0.63  (declare-const tptp.k1_xboole_0 $$unsorted)
% 0.35/0.63  (declare-const tptp.k1_latsum_1 (-> $$unsorted $$unsorted $$unsorted))
% 0.35/0.63  (declare-const tptp.r1_orders_2 (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.35/0.63  (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted))
% 0.35/0.63  (declare-const tptp.k3_xboole_0 (-> $$unsorted $$unsorted $$unsorted))
% 0.35/0.63  (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool))
% 0.35/0.63  (declare-const tptp.v12_waybel_0 (-> $$unsorted $$unsorted Bool))
% 0.35/0.63  (declare-const tptp.v1_relat_1 (-> $$unsorted Bool))
% 0.35/0.63  (declare-const tptp.l1_orders_2 (-> $$unsorted Bool))
% 0.35/0.63  (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.35/0.63  (declare-const tptp.g1_orders_2 (-> $$unsorted $$unsorted $$unsorted))
% 0.35/0.63  (declare-const tptp.k4_tarski (-> $$unsorted $$unsorted $$unsorted))
% 0.35/0.63  (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool))
% 0.35/0.63  (declare-const tptp.v1_orders_2 (-> $$unsorted Bool))
% 0.35/0.63  (define @t1 () (@var "A" $$unsorted))
% 0.35/0.63  (define @t2 () (tptp.u1_struct_0 @t1))
% 0.35/0.63  (define @t3 () (@var "C" $$unsorted))
% 0.35/0.63  (define @t4 () (tptp.r2_hidden @t3 @t2))
% 0.35/0.63  (define @t5 () (@var "D" $$unsorted))
% 0.35/0.63  (define @t6 () (tptp.r2_hidden @t5 @t2))
% 0.35/0.63  (define @t7 () (@var "B" $$unsorted))
% 0.35/0.63  (define @t8 () (tptp.k1_latsum_1 @t1 @t7))
% 0.35/0.63  (define @t9 () (tptp.r1_orders_2 @t8 @t3 @t5))
% 0.35/0.63  (define @t10 () (tptp.u1_struct_0 @t7))
% 0.35/0.63  (define @t11 () (tptp.k3_xboole_0 @t2 @t10))
% 0.35/0.63  (define @t12 () (tptp.m1_subset_1 @t11 (tptp.k1_zfmisc_1 @t10)))
% 0.35/0.63  (define @t13 () (tptp.v12_waybel_0 @t11 @t7))
% 0.35/0.63  (define @t14 () (and @t13 @t12 @t9 @t6))
% 0.35/0.63  (define @t15 () (=> @t14 @t4))
% 0.35/0.63  (define @t16 () (tptp.u1_struct_0 @t8))
% 0.35/0.63  (define @t17 () (tptp.m1_subset_1 @t5 @t16))
% 0.35/0.63  (define @t18 () (@list @t5))
% 0.35/0.63  (define @t19 () (forall @t18 (=> @t17 @t15)))
% 0.35/0.63  (define @t20 () (tptp.m1_subset_1 @t3 @t16))
% 0.35/0.63  (define @t21 () (=> @t20 @t19))
% 0.35/0.63  (define @t22 () (@list @t3))
% 0.35/0.63  (define @t23 () (forall @t22 @t21))
% 0.35/0.63  (define @t24 () (tptp.l1_orders_2 @t7))
% 0.35/0.63  (define @t25 () (=> @t24 @t23))
% 0.35/0.63  (define @t26 () (@list @t7))
% 0.35/0.63  (define @t27 () (forall @t26 @t25))
% 0.35/0.63  (define @t28 () (tptp.l1_orders_2 @t1))
% 0.35/0.63  (define @t29 () (=> @t28 @t27))
% 0.35/0.63  (define @t30 () (@list @t1))
% 0.35/0.63  (define @t31 () (forall @t30 @t29))
% 0.35/0.63  (define @t32 () (not @t31))
% 0.35/0.63  (define @t33 () (tptp.u1_orders_2 @t1))
% 0.35/0.63  (define @t34 () (tptp.r2_hidden @t1 @t7))
% 0.35/0.63  (define @t35 () (@list @t1 @t7))
% 0.35/0.63  (define @t36 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t1 @t7))))
% 0.35/0.63  (define @t37 () (@list @t1 @t7 @t3))
% 0.35/0.63  (define @t38 () (= (tptp.r1_orders_2 @t1 @t7 @t3) (tptp.r2_hidden (tptp.k4_tarski @t7 @t3) @t33)))
% 0.35/0.63  (define @t39 () (tptp.m1_subset_1 @t3 @t2))
% 0.35/0.63  (define @t40 () (forall @t22 (=> @t39 @t38)))
% 0.35/0.63  (define @t41 () (tptp.m1_subset_1 @t7 @t2))
% 0.35/0.63  (define @t42 () (=> @t41 @t40))
% 0.35/0.63  (define @t43 () (forall @t26 @t42))
% 0.35/0.63  (define @t44 () (=> @t28 @t43))
% 0.35/0.63  (define @t45 () (forall @t30 @t44))
% 0.35/0.63  (define @t46 () (tptp.g1_orders_2 @t1 @t7))
% 0.35/0.63  (define @t47 () (tptp.m1_relset_1 @t7 @t1 @t1))
% 0.35/0.63  (define @t48 () (and (tptp.v1_orders_2 @t8) (tptp.l1_orders_2 @t8)))
% 0.35/0.63  (define @t49 () (and @t28 @t24))
% 0.35/0.63  (define @t50 () (forall @t35 (=> @t49 @t48)))
% 0.35/0.63  (define @t51 () (tptp.l1_struct_0 @t1))
% 0.35/0.63  (define @t52 () (tptp.m2_relset_1 @t3 @t1 @t7))
% 0.35/0.63  (define @t53 () (tptp.m1_relset_1 @t3 @t1 @t7))
% 0.35/0.63  (define @t54 () (@list @t3 @t5))
% 0.35/0.63  (define @t55 () (tptp.v1_xboole_0 @t1))
% 0.35/0.63  (define @t56 () (tptp.m1_subset_1 @t1 @t7))
% 0.35/0.63  (define @t57 () (tptp.u1_orders_2 @t8))
% 0.35/0.63  (define @t58 () (tptp.r2_hidden (tptp.k4_tarski @t3 @t5) @t57))
% 0.35/0.63  (define @t59 () (and @t13 @t12 @t58 @t6))
% 0.35/0.63  (define @t60 () (forall @t54 (=> @t59 @t4)))
% 0.35/0.63  (define @t61 () (=> @t24 @t60))
% 0.35/0.63  (define @t62 () (forall @t26 @t61))
% 0.35/0.63  (define @t63 () (=> @t28 @t62))
% 0.35/0.63  (define @t64 () (forall @t30 @t63))
% 0.35/0.63  (define @t65 () (tptp.v1_xboole_0 @t7))
% 0.35/0.63  (define @t66 () (tptp.m1_subset_1 @t7 (tptp.k1_zfmisc_1 @t3)))
% 0.35/0.63  (define @t67 () (@var "BOUND_VARIABLE_7876" $$unsorted))
% 0.35/0.63  (define @t68 () (tptp.r2_hidden @t67 @t2))
% 0.35/0.63  (define @t69 () (@var "BOUND_VARIABLE_7878" $$unsorted))
% 0.35/0.63  (define @t70 () (not (tptp.r2_hidden @t69 @t2)))
% 0.35/0.63  (define @t71 () (@var "BOUND_VARIABLE_7874" $$unsorted))
% 0.35/0.63  (define @t72 () (not (tptp.r2_hidden (tptp.k4_tarski @t67 @t69) (tptp.u1_orders_2 (tptp.k1_latsum_1 @t1 @t71)))))
% 0.35/0.63  (define @t73 () (tptp.u1_struct_0 @t71))
% 0.35/0.63  (define @t74 () (tptp.k3_xboole_0 @t2 @t73))
% 0.35/0.63  (define @t75 () (not (tptp.m1_subset_1 @t74 (tptp.k1_zfmisc_1 @t73))))
% 0.35/0.63  (define @t76 () (not (tptp.v12_waybel_0 @t74 @t71)))
% 0.35/0.63  (define @t77 () (not (tptp.l1_orders_2 @t71)))
% 0.35/0.63  (define @t78 () (not @t28))
% 0.35/0.63  (define @t79 () (or @t78 @t77 @t76 @t75 @t72 @t70 @t68))
% 0.35/0.63  (define @t80 () (or @t77 @t76 @t75 @t72 @t70 @t68))
% 0.35/0.63  (define @t81 () (or @t78 @t80))
% 0.35/0.63  (define @t82 () (@list @t1 @t71 @t67 @t69))
% 0.35/0.63  (define @t83 () (forall @t82 @t81))
% 0.35/0.63  (define @t84 () (@list @t71 @t67 @t69))
% 0.35/0.63  (define @t85 () (forall @t84 @t81))
% 0.35/0.63  (define @t86 () (forall @t84 @t80))
% 0.35/0.63  (define @t87 () (@var "BOUND_VARIABLE_7856" $$unsorted))
% 0.35/0.63  (define @t88 () (@var "BOUND_VARIABLE_7854" $$unsorted))
% 0.35/0.63  (define @t89 () (or @t78 @t86))
% 0.35/0.63  (define @t90 () (tptp.r2_hidden @t88 @t2))
% 0.35/0.63  (define @t91 () (not (tptp.r2_hidden @t87 @t2)))
% 0.35/0.63  (define @t92 () (not (tptp.r2_hidden (tptp.k4_tarski @t88 @t87) @t57)))
% 0.35/0.63  (define @t93 () (not @t12))
% 0.35/0.63  (define @t94 () (not @t13))
% 0.35/0.63  (define @t95 () (not @t24))
% 0.35/0.63  (define @t96 () (or @t95 @t94 @t93 @t92 @t91 @t90))
% 0.35/0.63  (define @t97 () (@list @t7 @t88 @t87))
% 0.35/0.63  (define @t98 () (forall @t97 @t96))
% 0.35/0.63  (define @t99 () (or @t92 @t91 @t90))
% 0.35/0.63  (define @t100 () (or @t95 @t94 @t93 @t99))
% 0.35/0.63  (define @t101 () (forall @t97 @t100))
% 0.35/0.63  (define @t102 () (@list @t88 @t87))
% 0.35/0.63  (define @t103 () (forall @t102 @t100))
% 0.35/0.63  (define @t104 () (forall @t102 @t99))
% 0.35/0.63  (define @t105 () (or @t95 @t94 @t93 @t104))
% 0.35/0.63  (define @t106 () (not @t6))
% 0.35/0.63  (define @t107 () (not @t58))
% 0.35/0.63  (define @t108 () (or @t107 @t106 @t4))
% 0.35/0.63  (define @t109 () (forall @t54 @t108))
% 0.35/0.63  (define @t110 () (or @t95 @t94 @t93 @t109))
% 0.35/0.63  (define @t111 () (or @t94 @t93 @t109))
% 0.35/0.63  (define @t112 () (or @t94 @t93 @t108))
% 0.35/0.63  (define @t113 () (or @t94 @t93 @t107 @t106 @t4))
% 0.35/0.63  (define @t114 () (or @t94 @t93 @t107 @t106))
% 0.35/0.63  (define @t115 () (@var "BOUND_VARIABLE_7743" $$unsorted))
% 0.35/0.63  (define @t116 () (@var "BOUND_VARIABLE_7741" $$unsorted))
% 0.35/0.63  (define @t117 () (= (tptp.r1_orders_2 @t1 @t116 @t115) (tptp.r2_hidden (tptp.k4_tarski @t116 @t115) @t33)))
% 0.35/0.63  (define @t118 () (not (tptp.m1_subset_1 @t115 @t2)))
% 0.35/0.63  (define @t119 () (not (tptp.m1_subset_1 @t116 @t2)))
% 0.35/0.63  (define @t120 () (or @t119 @t118 @t117))
% 0.35/0.63  (define @t121 () (or @t78 @t120))
% 0.35/0.63  (define @t122 () (forall (@list @t1 @t116 @t115) @t121))
% 0.35/0.63  (define @t123 () (@list @t116 @t115))
% 0.35/0.63  (define @t124 () (forall @t123 @t121))
% 0.35/0.63  (define @t125 () (forall @t123 @t120))
% 0.35/0.63  (define @t126 () (@var "BOUND_VARIABLE_7723" $$unsorted))
% 0.35/0.63  (define @t127 () (or @t78 @t125))
% 0.35/0.63  (define @t128 () (= (tptp.r1_orders_2 @t1 @t7 @t126) (tptp.r2_hidden (tptp.k4_tarski @t7 @t126) @t33)))
% 0.35/0.63  (define @t129 () (not (tptp.m1_subset_1 @t126 @t2)))
% 0.35/0.63  (define @t130 () (not @t41))
% 0.35/0.63  (define @t131 () (or @t130 @t129 @t128))
% 0.35/0.63  (define @t132 () (@list @t7 @t126))
% 0.35/0.63  (define @t133 () (forall @t132 @t131))
% 0.35/0.63  (define @t134 () (or @t129 @t128))
% 0.35/0.63  (define @t135 () (or @t130 @t134))
% 0.35/0.63  (define @t136 () (forall @t132 @t135))
% 0.35/0.63  (define @t137 () (@list @t126))
% 0.35/0.63  (define @t138 () (forall @t137 @t135))
% 0.35/0.63  (define @t139 () (forall @t137 @t134))
% 0.35/0.63  (define @t140 () (or @t130 @t139))
% 0.35/0.63  (define @t141 () (forall @t22 (or (not @t39) @t38)))
% 0.35/0.63  (define @t142 () (@var "BOUND_VARIABLE_7672" $$unsorted))
% 0.35/0.63  (define @t143 () (not (tptp.r2_hidden @t142 @t2)))
% 0.35/0.63  (define @t144 () (@var "BOUND_VARIABLE_7670" $$unsorted))
% 0.35/0.63  (define @t145 () (@var "BOUND_VARIABLE_7668" $$unsorted))
% 0.35/0.63  (define @t146 () (tptp.k1_latsum_1 @t1 @t145))
% 0.35/0.63  (define @t147 () (not (tptp.r1_orders_2 @t146 @t144 @t142)))
% 0.35/0.63  (define @t148 () (tptp.u1_struct_0 @t146))
% 0.35/0.63  (define @t149 () (not (tptp.m1_subset_1 @t142 @t148)))
% 0.35/0.63  (define @t150 () (tptp.r2_hidden @t144 @t2))
% 0.35/0.63  (define @t151 () (not (tptp.m1_subset_1 @t144 @t148)))
% 0.35/0.63  (define @t152 () (tptp.u1_struct_0 @t145))
% 0.35/0.63  (define @t153 () (tptp.k3_xboole_0 @t2 @t152))
% 0.35/0.63  (define @t154 () (not (tptp.m1_subset_1 @t153 (tptp.k1_zfmisc_1 @t152))))
% 0.35/0.63  (define @t155 () (not (tptp.v12_waybel_0 @t153 @t145)))
% 0.35/0.63  (define @t156 () (not (tptp.l1_orders_2 @t145)))
% 0.35/0.63  (define @t157 () (or @t78 @t156 @t155 @t154 @t151 @t150 @t149 @t147 @t143))
% 0.35/0.63  (define @t158 () (@list @t1 @t145 @t144 @t142))
% 0.35/0.63  (define @t159 () (forall @t158 @t157))
% 0.35/0.63  (define @t160 () (@quantifiers_skolemize @t159 3))
% 0.35/0.63  (define @t161 () (@quantifiers_skolemize @t159 2))
% 0.35/0.63  (define @t162 () (@quantifiers_skolemize @t159 1))
% 0.35/0.63  (define @t163 () (@quantifiers_skolemize @t159 0))
% 0.35/0.63  (define @t164 () (tptp.k1_latsum_1 @t163 @t162))
% 0.35/0.63  (define @t165 () (or @t156 @t155 @t154 @t151 @t150 @t149 @t147 @t143))
% 0.35/0.63  (define @t166 () (or @t78 @t165))
% 0.35/0.63  (define @t167 () (forall @t158 @t166))
% 0.35/0.63  (define @t168 () (@list @t145 @t144 @t142))
% 0.35/0.63  (define @t169 () (forall @t168 @t166))
% 0.35/0.63  (define @t170 () (forall @t168 @t165))
% 0.35/0.63  (define @t171 () (@var "BOUND_VARIABLE_7646" $$unsorted))
% 0.35/0.63  (define @t172 () (@var "BOUND_VARIABLE_7644" $$unsorted))
% 0.35/0.63  (define @t173 () (or @t78 @t170))
% 0.35/0.63  (define @t174 () (not (tptp.r2_hidden @t171 @t2)))
% 0.35/0.63  (define @t175 () (not (tptp.r1_orders_2 @t8 @t172 @t171)))
% 0.35/0.63  (define @t176 () (not (tptp.m1_subset_1 @t171 @t16)))
% 0.35/0.63  (define @t177 () (tptp.r2_hidden @t172 @t2))
% 0.35/0.63  (define @t178 () (not (tptp.m1_subset_1 @t172 @t16)))
% 0.35/0.63  (define @t179 () (or @t95 @t94 @t93 @t178 @t177 @t176 @t175 @t174))
% 0.35/0.63  (define @t180 () (@list @t7 @t172 @t171))
% 0.35/0.63  (define @t181 () (forall @t180 @t179))
% 0.35/0.63  (define @t182 () (or @t178 @t177 @t176 @t175 @t174))
% 0.35/0.63  (define @t183 () (or @t95 @t94 @t93 @t182))
% 0.35/0.63  (define @t184 () (forall @t180 @t183))
% 0.35/0.63  (define @t185 () (@list @t172 @t171))
% 0.35/0.63  (define @t186 () (forall @t185 @t183))
% 0.35/0.63  (define @t187 () (forall @t185 @t182))
% 0.35/0.63  (define @t188 () (@var "BOUND_VARIABLE_7624" $$unsorted))
% 0.35/0.63  (define @t189 () (or @t95 @t94 @t93 @t187))
% 0.35/0.63  (define @t190 () (not (tptp.r2_hidden @t188 @t2)))
% 0.35/0.63  (define @t191 () (not (tptp.r1_orders_2 @t8 @t3 @t188)))
% 0.35/0.63  (define @t192 () (not (tptp.m1_subset_1 @t188 @t16)))
% 0.35/0.63  (define @t193 () (not @t20))
% 0.35/0.63  (define @t194 () (or @t193 @t4 @t192 @t191 @t190))
% 0.35/0.63  (define @t195 () (@list @t3 @t188))
% 0.35/0.63  (define @t196 () (forall @t195 @t194))
% 0.35/0.63  (define @t197 () (or @t95 @t94 @t93 @t196))
% 0.35/0.63  (define @t198 () (or @t94 @t93 @t196))
% 0.35/0.63  (define @t199 () (or @t192 @t191 @t190))
% 0.35/0.63  (define @t200 () (or @t193 @t4 @t199))
% 0.35/0.63  (define @t201 () (forall @t195 @t200))
% 0.35/0.63  (define @t202 () (@list @t188))
% 0.35/0.63  (define @t203 () (forall @t202 @t200))
% 0.35/0.63  (define @t204 () (forall @t202 @t199))
% 0.35/0.63  (define @t205 () (or @t193 @t4 @t204))
% 0.35/0.63  (define @t206 () (not @t9))
% 0.35/0.63  (define @t207 () (not @t17))
% 0.35/0.63  (define @t208 () (or @t207 @t206 @t106))
% 0.35/0.63  (define @t209 () (forall @t18 @t208))
% 0.35/0.63  (define @t210 () (or @t193 @t4 @t209))
% 0.35/0.63  (define @t211 () (forall @t22 @t210))
% 0.35/0.63  (define @t212 () (or @t94 @t93 @t211))
% 0.35/0.63  (define @t213 () (or @t94 @t93 @t210))
% 0.35/0.63  (define @t214 () (or @t193 @t94 @t93 @t4 @t209))
% 0.35/0.63  (define @t215 () (or @t94 @t93 @t4 @t209))
% 0.35/0.63  (define @t216 () (or @t94 @t93 @t4 @t208))
% 0.35/0.63  (define @t217 () (or @t207 @t94 @t93 @t206 @t106 @t4))
% 0.35/0.63  (define @t218 () (or @t94 @t93 @t206 @t106 @t4))
% 0.35/0.63  (define @t219 () (or @t94 @t93 @t206 @t106))
% 0.35/0.63  (define @t220 () (tptp.l1_orders_2 @t162))
% 0.35/0.63  (define @t221 () (tptp.u1_struct_0 @t163))
% 0.35/0.63  (define @t222 () (tptp.r2_hidden @t160 @t221))
% 0.35/0.63  (define @t223 () (not @t222))
% 0.35/0.63  (define @t224 () (tptp.r1_orders_2 @t164 @t161 @t160))
% 0.35/0.63  (define @t225 () (not @t224))
% 0.35/0.63  (define @t226 () (tptp.u1_struct_0 @t164))
% 0.35/0.63  (define @t227 () (tptp.m1_subset_1 @t160 @t226))
% 0.35/0.63  (define @t228 () (not @t227))
% 0.35/0.63  (define @t229 () (tptp.r2_hidden @t161 @t221))
% 0.35/0.63  (define @t230 () (tptp.m1_subset_1 @t161 @t226))
% 0.35/0.63  (define @t231 () (not @t230))
% 0.35/0.63  (define @t232 () (tptp.u1_struct_0 @t162))
% 0.35/0.63  (define @t233 () (tptp.k3_xboole_0 @t221 @t232))
% 0.35/0.63  (define @t234 () (tptp.m1_subset_1 @t233 (tptp.k1_zfmisc_1 @t232)))
% 0.35/0.63  (define @t235 () (not @t234))
% 0.35/0.63  (define @t236 () (tptp.v12_waybel_0 @t233 @t162))
% 0.35/0.63  (define @t237 () (not @t236))
% 0.35/0.63  (define @t238 () (not @t220))
% 0.35/0.63  (define @t239 () (tptp.l1_orders_2 @t163))
% 0.35/0.63  (define @t240 () (not @t239))
% 0.35/0.63  (define @t241 () (or @t240 @t238 @t237 @t235 @t231 @t229 @t228 @t225 @t223))
% 0.35/0.63  (define @t242 () (@list true))
% 0.35/0.63  (define @t243 () (@list @t241))
% 0.35/0.63  (define @t244 () (tptp.l1_orders_2 @t164))
% 0.35/0.63  (define @t245 () (and (tptp.v1_orders_2 @t164) @t244))
% 0.35/0.63  (define @t246 () (or @t240 @t238 @t245))
% 0.35/0.63  (define @t247 () (tptp.r2_hidden (tptp.k4_tarski @t161 @t160) (tptp.u1_orders_2 @t164)))
% 0.35/0.63  (define @t248 () (= @t224 @t247))
% 0.35/0.63  (define @t249 () (not @t244))
% 0.35/0.63  (define @t250 () (or @t249 @t231 @t228 @t248))
% 0.35/0.63  (define @t251 () (not @t247))
% 0.35/0.63  (define @t252 () (or @t240 @t238 @t237 @t235 @t251 @t223 @t229))
% 0.35/0.63  (define @t253 () (not @t252))
% 0.35/0.63  (define @t254 () (forall @t82 @t79))
% 0.35/0.63  (assume @p1 @t32)
% 0.35/0.63  (assume @p2 (forall @t30 (=> @t28 (=> (tptp.v1_orders_2 @t1) (= @t1 (tptp.g1_orders_2 @t2 @t33))))))
% 0.35/0.63  (assume @p3 (forall @t35 (=> @t34 (not (tptp.r2_hidden @t7 @t1)))))
% 0.35/0.63  (assume @p4 (forall @t37 (=> @t36 (tptp.v1_relat_1 @t3))))
% 0.35/0.63  (assume @p5 (forall @t35 (= (tptp.k3_xboole_0 @t1 @t7) (tptp.k3_xboole_0 @t7 @t1))))
% 0.35/0.63  (assume @p6 @t45)
% 0.35/0.63  (assume @p7 (forall @t35 (=> @t47 (and (tptp.v1_orders_2 @t46) (tptp.l1_orders_2 @t46)))))
% 0.35/0.63  (assume @p8 @t50)
% 0.35/0.63  (assume @p9 true)
% 0.35/0.63  (assume @p10 (forall @t30 (=> @t28 @t51)))
% 0.35/0.63  (assume @p11 (forall @t37 (=> @t52 @t36)))
% 0.35/0.63  (assume @p12 (forall @t30 (=> @t28 (tptp.m2_relset_1 @t33 @t2 @t2))))
% 0.35/0.63  (assume @p13 (exists @t30 @t28))
% 0.35/0.63  (assume @p14 (exists @t30 @t51))
% 0.35/0.63  (assume @p15 (forall @t35 (exists @t22 @t53)))
% 0.35/0.63  (assume @p16 (forall @t30 (exists @t26 (tptp.m1_subset_1 @t7 @t1))))
% 0.35/0.63  (assume @p17 (forall @t35 (exists @t22 @t52)))
% 0.35/0.63  (assume @p18 (tptp.v1_xboole_0 tptp.k1_xboole_0))
% 0.35/0.63  (assume @p19 (forall @t35 (=> @t47 (forall @t54 (=> (= @t46 (tptp.g1_orders_2 @t3 @t5)) (and (= @t1 @t3) (= @t7 @t5)))))))
% 0.35/0.63  (assume @p20 (forall @t35 (= (tptp.k3_xboole_0 @t1 @t1) @t1)))
% 0.35/0.63  (assume @p21 (exists @t30 @t55))
% 0.35/0.63  (assume @p22 (exists @t30 (not @t55)))
% 0.35/0.63  (assume @p23 (forall @t37 (= @t52 @t53)))
% 0.35/0.63  (assume @p24 (forall @t35 (tptp.r1_tarski @t1 @t1)))
% 0.35/0.63  (assume @p25 (forall @t35 (=> @t34 @t56)))
% 0.35/0.63  (assume @p26 @t64)
% 0.35/0.63  (assume @p27 (forall @t30 (= (tptp.k3_xboole_0 @t1 tptp.k1_xboole_0) tptp.k1_xboole_0)))
% 0.35/0.63  (assume @p28 (forall @t35 (=> @t56 (or @t65 @t34))))
% 0.35/0.63  (assume @p29 (forall @t35 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t7)) (tptp.r1_tarski @t1 @t7))))
% 0.35/0.63  (assume @p30 (forall @t37 (=> (and @t34 @t66) (tptp.m1_subset_1 @t1 @t3))))
% 0.35/0.63  (assume @p31 (forall @t37 (not (and @t34 @t66 (tptp.v1_xboole_0 @t3)))))
% 0.35/0.63  (assume @p32 (forall @t30 (=> @t55 (= @t1 tptp.k1_xboole_0))))
% 0.35/0.63  (assume @p33 (forall @t35 (not (and @t34 @t65))))
% 0.35/0.63  (assume @p34 (forall @t35 (not (and @t55 (not (= @t1 @t7)) @t65))))
% 0.35/0.63  (step @p35 :rule aci_norm :args ((= @t81 @t79)))
% 0.35/0.63  (step @p36 :rule cong :premises (@p35) :args (@t83))
% 0.35/0.63  (step @p37 :rule quant-merge-prenex :args ((= (forall @t30 @t85) @t83)))
% 0.35/0.63  (step @p38 :rule alpha_equiv :args (@t86 (@list @t71 @t67 @t69) (@list @t7 @t88 @t87)))
% 0.35/0.63  (step @p39 :rule refl :args (@t78))
% 0.35/0.63  (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t89))
% 0.35/0.63  (step @p41 :rule quant-miniscope-or :args ((= @t85 @t89)))
% 0.35/0.63  (step @p42 :rule trans :premises (@p41 @p40))
% 0.35/0.63  (step @p43 :rule symm :premises (@p42))
% 0.35/0.63  (step @p44 :rule cong :premises (@p43) :args ((forall @t30 (or @t78 @t98))))
% 0.35/0.63  (step @p45 :rule trans :premises (@p44 @p37))
% 0.35/0.63  (step @p46 :rule trans :premises (@p45 @p36))
% 0.35/0.63  (step @p47 :rule bool-impl-elim :args (@t28 @t98))
% 0.35/0.63  (step @p48 :rule cong :premises (@p47) :args ((forall @t30 (=> @t28 @t98))))
% 0.35/0.63  (step @p49 :rule trans :premises (@p48 @p46))
% 0.35/0.63  (step @p50 :rule aci_norm :args ((= @t100 @t96)))
% 0.35/0.63  (step @p51 :rule cong :premises (@p50) :args (@t101))
% 0.35/0.63  (step @p52 :rule quant-merge-prenex :args ((= (forall @t26 @t103) @t101)))
% 0.35/0.63  (step @p53 :rule alpha_equiv :args (@t104 (@list @t88 @t87) (@list @t3 @t5)))
% 0.35/0.63  (step @p54 :rule refl :args (@t93))
% 0.35/0.63  (step @p55 :rule refl :args (@t94))
% 0.35/0.63  (step @p56 :rule refl :args (@t95))
% 0.35/0.63  (step @p57 :rule nary_cong :premises (@p56 @p55 @p54 @p53) :args (@t105))
% 0.35/0.63  (step @p58 :rule quant-miniscope-or :args ((= @t103 @t105)))
% 0.35/0.63  (step @p59 :rule trans :premises (@p58 @p57))
% 0.35/0.63  (step @p60 :rule symm :premises (@p59))
% 0.35/0.63  (step @p61 :rule cong :premises (@p60) :args ((forall @t26 @t110)))
% 0.35/0.63  (step @p62 :rule trans :premises (@p61 @p52))
% 0.35/0.63  (step @p63 :rule trans :premises (@p62 @p51))
% 0.35/0.63  (step @p64 :rule aci_norm :args ((= (or @t95 @t111) @t110)))
% 0.35/0.63  (step @p65 :rule bool-impl-elim :args (@t24 @t111))
% 0.35/0.63  (step @p66 :rule trans :premises (@p65 @p64))
% 0.35/0.63  (step @p67 :rule cong :premises (@p66) :args ((forall @t26 (=> @t24 @t111))))
% 0.35/0.63  (step @p68 :rule trans :premises (@p67 @p63))
% 0.35/0.63  (step @p69 :rule quant-miniscope-or :args ((= (forall @t54 @t112) @t111)))
% 0.35/0.63  (step @p70 :rule aci_norm :args ((= @t113 @t112)))
% 0.35/0.63  (step @p71 :rule cong :premises (@p70) :args ((forall @t54 @t113)))
% 0.35/0.63  (step @p72 :rule trans :premises (@p71 @p69))
% 0.35/0.63  (step @p73 :rule aci_norm :args ((= (or @t114 @t4) @t113)))
% 0.35/0.63  (step @p74 :rule refl :args (@t4))
% 0.35/0.63  (step @p75 :rule aci_norm :args ((= (or @t94 (or @t93 (or @t107 @t106))) @t114)))
% 0.35/0.63  (step @p76 :rule bool-and-de-morgan :args (@t58 @t6 true))
% 0.35/0.63  (step @p77 :rule nary_cong :premises (@p54 @p76) :args ((or @t93 (not (and @t58 @t6)))))
% 0.35/0.63  (step @p78 :rule bool-and-de-morgan :args (@t12 @t58 (and @t6)))
% 0.35/0.63  (step @p79 :rule trans :premises (@p78 @p77))
% 0.35/0.63  (step @p80 :rule nary_cong :premises (@p55 @p79) :args ((or @t94 (not (and @t12 @t58 @t6)))))
% 0.35/0.63  (step @p81 :rule bool-and-de-morgan :args (@t13 @t12 (and @t58 @t6)))
% 0.35/0.63  (step @p82 :rule trans :premises (@p81 @p80))
% 0.35/0.63  (step @p83 :rule trans :premises (@p82 @p75))
% 0.35/0.63  (step @p84 :rule nary_cong :premises (@p83 @p74) :args ((or (not @t59) @t4)))
% 0.35/0.63  (step @p85 :rule trans :premises (@p84 @p73))
% 0.35/0.63  (step @p86 :rule bool-impl-elim :args (@t59 @t4))
% 0.35/0.63  (step @p87 :rule trans :premises (@p86 @p85))
% 0.35/0.63  (step @p88 :rule cong :premises (@p87) :args (@t60))
% 0.35/0.63  (step @p89 :rule trans :premises (@p88 @p72))
% 0.35/0.63  (step @p90 :rule refl :args (@t24))
% 0.35/0.63  (step @p91 :rule cong :premises (@p90 @p89) :args (@t61))
% 0.35/0.63  (step @p92 :rule cong :premises (@p91) :args (@t62))
% 0.35/0.63  (step @p93 :rule trans :premises (@p92 @p68))
% 0.35/0.63  (step @p94 :rule refl :args (@t28))
% 0.35/0.63  (step @p95 :rule cong :premises (@p94 @p93) :args (@t63))
% 0.35/0.63  (step @p96 :rule cong :premises (@p95) :args (@t64))
% 0.35/0.63  (step @p97 :rule trans :premises (@p96 @p49))
% 0.35/0.63  (step @p98 :rule eq_resolve :premises (@p26 @p97))
% 0.35/0.63  (step @p99 :rule aci_norm :args ((= @t121 (or @t78 @t119 @t118 @t117))))
% 0.35/0.63  (step @p100 :rule cong :premises (@p99) :args (@t122))
% 0.35/0.63  (step @p101 :rule quant-merge-prenex :args ((= (forall @t30 @t124) @t122)))
% 0.35/0.63  (step @p102 :rule alpha_equiv :args (@t125 (@list @t116 @t115) (@list @t7 @t126)))
% 0.35/0.63  (step @p103 :rule nary_cong :premises (@p39 @p102) :args (@t127))
% 0.35/0.63  (step @p104 :rule quant-miniscope-or :args ((= @t124 @t127)))
% 0.35/0.63  (step @p105 :rule trans :premises (@p104 @p103))
% 0.35/0.63  (step @p106 :rule symm :premises (@p105))
% 0.35/0.63  (step @p107 :rule cong :premises (@p106) :args ((forall @t30 (or @t78 @t133))))
% 0.35/0.63  (step @p108 :rule trans :premises (@p107 @p101))
% 0.35/0.63  (step @p109 :rule trans :premises (@p108 @p100))
% 0.35/0.63  (step @p110 :rule bool-impl-elim :args (@t28 @t133))
% 0.35/0.63  (step @p111 :rule cong :premises (@p110) :args ((forall @t30 (=> @t28 @t133))))
% 0.35/0.63  (step @p112 :rule trans :premises (@p111 @p109))
% 0.35/0.63  (step @p113 :rule aci_norm :args ((= @t135 @t131)))
% 0.35/0.63  (step @p114 :rule cong :premises (@p113) :args (@t136))
% 0.35/0.63  (step @p115 :rule quant-merge-prenex :args ((= (forall @t26 @t138) @t136)))
% 0.35/0.63  (step @p116 :rule alpha_equiv :args (@t139 (@list @t126) (@list @t3)))
% 0.35/0.63  (step @p117 :rule refl :args (@t130))
% 0.35/0.63  (step @p118 :rule nary_cong :premises (@p117 @p116) :args (@t140))
% 0.35/0.63  (step @p119 :rule quant-miniscope-or :args ((= @t138 @t140)))
% 0.35/0.63  (step @p120 :rule trans :premises (@p119 @p118))
% 0.35/0.63  (step @p121 :rule symm :premises (@p120))
% 0.35/0.63  (step @p122 :rule cong :premises (@p121) :args ((forall @t26 (or @t130 @t141))))
% 0.35/0.63  (step @p123 :rule trans :premises (@p122 @p115))
% 0.35/0.63  (step @p124 :rule trans :premises (@p123 @p114))
% 0.35/0.63  (step @p125 :rule bool-impl-elim :args (@t41 @t141))
% 0.35/0.63  (step @p126 :rule cong :premises (@p125) :args ((forall @t26 (=> @t41 @t141))))
% 0.35/0.63  (step @p127 :rule trans :premises (@p126 @p124))
% 0.35/0.63  (step @p128 :rule bool-impl-elim :args (@t39 @t38))
% 0.35/0.63  (step @p129 :rule cong :premises (@p128) :args (@t40))
% 0.35/0.63  (step @p130 :rule refl :args (@t41))
% 0.35/0.63  (step @p131 :rule cong :premises (@p130 @p129) :args (@t42))
% 0.35/0.63  (step @p132 :rule cong :premises (@p131) :args (@t43))
% 0.35/0.63  (step @p133 :rule trans :premises (@p132 @p127))
% 0.35/0.63  (step @p134 :rule cong :premises (@p94 @p133) :args (@t44))
% 0.35/0.63  (step @p135 :rule cong :premises (@p134) :args (@t45))
% 0.35/0.63  (step @p136 :rule trans :premises (@p135 @p112))
% 0.35/0.63  (step @p137 :rule eq_resolve :premises (@p6 @p136))
% 0.35/0.63  (step @p138 :rule instantiate :premises (@p137) :args ((@list @t164 @t161 @t160)))
% 0.35/0.63  (step @p139 :rule aci_norm :args ((= (or (or @t78 @t95) @t48) (or @t78 @t95 @t48))))
% 0.35/0.63  (step @p140 :rule refl :args (@t48))
% 0.35/0.63  (step @p141 :rule bool-and-de-morgan :args (@t28 @t24 true))
% 0.35/0.63  (step @p142 :rule nary_cong :premises (@p141 @p140) :args ((or (not @t49) @t48)))
% 0.35/0.63  (step @p143 :rule trans :premises (@p142 @p139))
% 0.35/0.63  (step @p144 :rule bool-impl-elim :args (@t49 @t48))
% 0.35/0.63  (step @p145 :rule trans :premises (@p144 @p143))
% 0.35/0.63  (step @p146 :rule cong :premises (@p145) :args (@t50))
% 0.35/0.63  (step @p147 :rule eq_resolve :premises (@p8 @p146))
% 0.35/0.63  (step @p148 :rule instantiate :premises (@p147) :args ((@list @t163 @t162)))
% 0.35/0.63  (step @p149 :rule aci_norm :args ((= @t166 @t157)))
% 0.35/0.63  (step @p150 :rule cong :premises (@p149) :args (@t167))
% 0.35/0.63  (step @p151 :rule quant-merge-prenex :args ((= (forall @t30 @t169) @t167)))
% 0.35/0.63  (step @p152 :rule alpha_equiv :args (@t170 (@list @t145 @t144 @t142) (@list @t7 @t172 @t171)))
% 0.35/0.63  (step @p153 :rule nary_cong :premises (@p39 @p152) :args (@t173))
% 0.35/0.63  (step @p154 :rule quant-miniscope-or :args ((= @t169 @t173)))
% 0.35/0.63  (step @p155 :rule trans :premises (@p154 @p153))
% 0.35/0.63  (step @p156 :rule symm :premises (@p155))
% 0.35/0.63  (step @p157 :rule cong :premises (@p156) :args ((forall @t30 (or @t78 @t181))))
% 0.35/0.63  (step @p158 :rule trans :premises (@p157 @p151))
% 0.35/0.63  (step @p159 :rule trans :premises (@p158 @p150))
% 0.35/0.63  (step @p160 :rule bool-impl-elim :args (@t28 @t181))
% 0.35/0.63  (step @p161 :rule cong :premises (@p160) :args ((forall @t30 (=> @t28 @t181))))
% 0.35/0.63  (step @p162 :rule trans :premises (@p161 @p159))
% 0.35/0.63  (step @p163 :rule aci_norm :args ((= @t183 @t179)))
% 0.35/0.63  (step @p164 :rule cong :premises (@p163) :args (@t184))
% 0.35/0.63  (step @p165 :rule quant-merge-prenex :args ((= (forall @t26 @t186) @t184)))
% 0.35/0.63  (step @p166 :rule alpha_equiv :args (@t187 (@list @t172 @t171) (@list @t3 @t188)))
% 0.35/0.63  (step @p167 :rule nary_cong :premises (@p56 @p55 @p54 @p166) :args (@t189))
% 0.35/0.63  (step @p168 :rule quant-miniscope-or :args ((= @t186 @t189)))
% 0.35/0.63  (step @p169 :rule trans :premises (@p168 @p167))
% 0.35/0.63  (step @p170 :rule symm :premises (@p169))
% 0.35/0.63  (step @p171 :rule cong :premises (@p170) :args ((forall @t26 @t197)))
% 0.35/0.63  (step @p172 :rule trans :premises (@p171 @p165))
% 0.35/0.63  (step @p173 :rule trans :premises (@p172 @p164))
% 0.35/0.63  (step @p174 :rule aci_norm :args ((= (or @t95 @t198) @t197)))
% 0.35/0.63  (step @p175 :rule bool-impl-elim :args (@t24 @t198))
% 0.35/0.63  (step @p176 :rule trans :premises (@p175 @p174))
% 0.35/0.63  (step @p177 :rule cong :premises (@p176) :args ((forall @t26 (=> @t24 @t198))))
% 0.35/0.63  (step @p178 :rule trans :premises (@p177 @p173))
% 0.35/0.63  (step @p179 :rule aci_norm :args ((= @t200 @t194)))
% 0.35/0.63  (step @p180 :rule cong :premises (@p179) :args (@t201))
% 0.35/0.63  (step @p181 :rule quant-merge-prenex :args ((= (forall @t22 @t203) @t201)))
% 0.35/0.63  (step @p182 :rule alpha_equiv :args (@t204 (@list @t188) (@list @t5)))
% 0.35/0.63  (step @p183 :rule refl :args (@t193))
% 0.35/0.63  (step @p184 :rule nary_cong :premises (@p183 @p74 @p182) :args (@t205))
% 0.35/0.63  (step @p185 :rule quant-miniscope-or :args ((= @t203 @t205)))
% 0.35/0.63  (step @p186 :rule trans :premises (@p185 @p184))
% 0.35/0.63  (step @p187 :rule symm :premises (@p186))
% 0.35/0.63  (step @p188 :rule cong :premises (@p187) :args (@t211))
% 0.35/0.63  (step @p189 :rule trans :premises (@p188 @p181))
% 0.35/0.63  (step @p190 :rule trans :premises (@p189 @p180))
% 0.35/0.63  (step @p191 :rule refl :args (@t93))
% 0.35/0.63  (step @p192 :rule refl :args (@t94))
% 0.35/0.63  (step @p193 :rule nary_cong :premises (@p192 @p191 @p190) :args (@t212))
% 0.35/0.63  (step @p194 :rule quant-miniscope-or :args ((= (forall @t22 @t213) @t212)))
% 0.35/0.63  (step @p195 :rule aci_norm :args ((= @t214 @t213)))
% 0.35/0.63  (step @p196 :rule cong :premises (@p195) :args ((forall @t22 @t214)))
% 0.35/0.63  (step @p197 :rule trans :premises (@p196 @p194))
% 0.35/0.63  (step @p198 :rule trans :premises (@p197 @p193))
% 0.35/0.63  (step @p199 :rule aci_norm :args ((= (or @t193 @t215) @t214)))
% 0.35/0.63  (step @p200 :rule bool-impl-elim :args (@t20 @t215))
% 0.35/0.63  (step @p201 :rule trans :premises (@p200 @p199))
% 0.35/0.63  (step @p202 :rule cong :premises (@p201) :args ((forall @t22 (=> @t20 @t215))))
% 0.35/0.63  (step @p203 :rule trans :premises (@p202 @p198))
% 0.35/0.63  (step @p204 :rule quant-miniscope-or :args ((= (forall @t18 @t216) @t215)))
% 0.35/0.63  (step @p205 :rule aci_norm :args ((= @t217 @t216)))
% 0.35/0.63  (step @p206 :rule cong :premises (@p205) :args ((forall @t18 @t217)))
% 0.35/0.63  (step @p207 :rule trans :premises (@p206 @p204))
% 0.35/0.63  (step @p208 :rule aci_norm :args ((= (or @t207 @t218) @t217)))
% 0.35/0.63  (step @p209 :rule aci_norm :args ((= (or @t219 @t4) @t218)))
% 0.35/0.63  (step @p210 :rule aci_norm :args ((= (or @t94 (or @t93 (or @t206 @t106))) @t219)))
% 0.35/0.63  (step @p211 :rule bool-and-de-morgan :args (@t9 @t6 true))
% 0.35/0.63  (step @p212 :rule nary_cong :premises (@p54 @p211) :args ((or @t93 (not (and @t9 @t6)))))
% 0.35/0.63  (step @p213 :rule bool-and-de-morgan :args (@t12 @t9 (and @t6)))
% 0.35/0.63  (step @p214 :rule trans :premises (@p213 @p212))
% 0.35/0.63  (step @p215 :rule nary_cong :premises (@p55 @p214) :args ((or @t94 (not (and @t12 @t9 @t6)))))
% 0.35/0.63  (step @p216 :rule bool-and-de-morgan :args (@t13 @t12 (and @t9 @t6)))
% 0.35/0.63  (step @p217 :rule trans :premises (@p216 @p215))
% 0.35/0.63  (step @p218 :rule trans :premises (@p217 @p210))
% 0.35/0.63  (step @p219 :rule nary_cong :premises (@p218 @p74) :args ((or (not @t14) @t4)))
% 0.35/0.63  (step @p220 :rule trans :premises (@p219 @p209))
% 0.35/0.63  (step @p221 :rule bool-impl-elim :args (@t14 @t4))
% 0.35/0.63  (step @p222 :rule trans :premises (@p221 @p220))
% 0.35/0.63  (step @p223 :rule refl :args (@t207))
% 0.35/0.63  (step @p224 :rule nary_cong :premises (@p223 @p222) :args ((or @t207 @t15)))
% 0.35/0.63  (step @p225 :rule trans :premises (@p224 @p208))
% 0.35/0.63  (step @p226 :rule bool-impl-elim :args (@t17 @t15))
% 0.35/0.63  (step @p227 :rule trans :premises (@p226 @p225))
% 0.35/0.63  (step @p228 :rule cong :premises (@p227) :args (@t19))
% 0.35/0.63  (step @p229 :rule trans :premises (@p228 @p207))
% 0.35/0.63  (step @p230 :rule refl :args (@t20))
% 0.35/0.63  (step @p231 :rule cong :premises (@p230 @p229) :args (@t21))
% 0.35/0.63  (step @p232 :rule cong :premises (@p231) :args (@t23))
% 0.35/0.63  (step @p233 :rule trans :premises (@p232 @p203))
% 0.35/0.63  (step @p234 :rule cong :premises (@p90 @p233) :args (@t25))
% 0.35/0.63  (step @p235 :rule cong :premises (@p234) :args (@t27))
% 0.35/0.63  (step @p236 :rule trans :premises (@p235 @p178))
% 0.35/0.63  (step @p237 :rule cong :premises (@p94 @p236) :args (@t29))
% 0.35/0.63  (step @p238 :rule cong :premises (@p237) :args (@t31))
% 0.35/0.63  (step @p239 :rule trans :premises (@p238 @p162))
% 0.35/0.63  (step @p240 :rule cong :premises (@p239) :args (@t32))
% 0.35/0.63  (step @p241 :rule eq_resolve :premises (@p1 @p240))
% 0.35/0.63  (step @p242 :rule skolemize :premises (@p241))
% 0.35/0.63  (step @p243 :rule bool-double-not-elim :args (@t220))
% 0.35/0.63  (step @p244 :rule refl :args (@t241))
% 0.35/0.63  (step @p245 :rule nary_cong :premises (@p244 @p243) :args ((or @t241 (not @t238))))
% 0.35/0.63  (step @p246 :rule cnf_or_neg :args (@t241 1))
% 0.35/0.63  (step @p247 :rule eq_resolve :premises (@p246 @p245))
% 0.35/0.63  (step @p248 :rule reordering :premises (@p247) :args ((or @t220 @t241)))
% 0.35/0.63  (step @p249 :rule chain_m_resolution :premises (@p248 @p242) :args (@t220 @t242 @t243))
% 0.35/0.63  (step @p250 :rule bool-double-not-elim :args (@t239))
% 0.35/0.63  (step @p251 :rule nary_cong :premises (@p244 @p250) :args ((or @t241 (not @t240))))
% 0.35/0.63  (step @p252 :rule cnf_or_neg :args (@t241 0))
% 0.35/0.63  (step @p253 :rule eq_resolve :premises (@p252 @p251))
% 0.35/0.63  (step @p254 :rule reordering :premises (@p253) :args ((or @t239 @t241)))
% 0.35/0.63  (step @p255 :rule chain_m_resolution :premises (@p254 @p242) :args (@t239 @t242 @t243))
% 0.35/0.63  (step @p256 :rule cnf_or_pos :args (@t246))
% 0.35/0.63  (step @p257 :rule reordering :premises (@p256) :args ((or @t240 @t238 @t245 (not @t246))))
% 0.35/0.63  (step @p258 :rule chain_m_resolution :premises (@p257 @p255 @p249 @p148) :args (@t245 (@list false false false) (@list @t239 @t220 @t246)))
% 0.35/0.63  (step @p259 :rule cnf_and_pos :args (@t245 1))
% 0.35/0.63  (step @p260 :rule reordering :premises (@p259) :args ((or @t244 (not @t245))))
% 0.35/0.63  (step @p261 :rule chain_m_resolution :premises (@p260 @p258) :args (@t244 (@list false) (@list @t245)))
% 0.35/0.63  (step @p262 :rule bool-double-not-elim :args (@t227))
% 0.35/0.63  (step @p263 :rule nary_cong :premises (@p244 @p262) :args ((or @t241 (not @t228))))
% 0.35/0.63  (step @p264 :rule cnf_or_neg :args (@t241 6))
% 0.35/0.63  (step @p265 :rule eq_resolve :premises (@p264 @p263))
% 0.35/0.63  (step @p266 :rule reordering :premises (@p265) :args ((or @t227 @t241)))
% 0.35/0.63  (step @p267 :rule chain_m_resolution :premises (@p266 @p242) :args (@t227 @t242 @t243))
% 0.35/0.63  (step @p268 :rule bool-double-not-elim :args (@t230))
% 0.35/0.63  (step @p269 :rule nary_cong :premises (@p244 @p268) :args ((or @t241 (not @t231))))
% 0.35/0.63  (step @p270 :rule cnf_or_neg :args (@t241 4))
% 0.35/0.63  (step @p271 :rule eq_resolve :premises (@p270 @p269))
% 0.35/0.63  (step @p272 :rule reordering :premises (@p271) :args ((or @t230 @t241)))
% 0.35/0.63  (step @p273 :rule chain_m_resolution :premises (@p272 @p242) :args (@t230 @t242 @t243))
% 0.35/0.63  (step @p274 :rule cnf_or_pos :args (@t250))
% 0.35/0.63  (step @p275 :rule reordering :premises (@p274) :args ((or @t231 @t228 @t249 @t248 (not @t250))))
% 0.35/0.63  (step @p276 :rule chain_m_resolution :premises (@p275 @p273 @p267 @p261 @p138) :args (@t248 (@list false false false false) (@list @t230 @t227 @t244 @t250)))
% 0.35/0.63  (step @p277 :rule bool-double-not-elim :args (@t224))
% 0.35/0.63  (step @p278 :rule nary_cong :premises (@p244 @p277) :args ((or @t241 (not @t225))))
% 0.35/0.63  (step @p279 :rule cnf_or_neg :args (@t241 7))
% 0.35/0.63  (step @p280 :rule eq_resolve :premises (@p279 @p278))
% 0.35/0.63  (step @p281 :rule reordering :premises (@p280) :args ((or @t224 @t241)))
% 0.35/0.63  (step @p282 :rule chain_m_resolution :premises (@p281 @p242) :args (@t224 @t242 @t243))
% 0.35/0.63  (step @p283 :rule cnf_equiv_pos1 :args (@t248))
% 0.35/0.63  (step @p284 :rule reordering :premises (@p283) :args ((or @t225 @t247 (not @t248))))
% 0.35/0.63  (step @p285 :rule chain_m_resolution :premises (@p284 @p282 @p276) :args (@t247 (@list false false) (@list @t224 @t248)))
% 0.35/0.63  (step @p286 :rule bool-double-not-elim :args (@t222))
% 0.35/0.63  (step @p287 :rule nary_cong :premises (@p244 @p286) :args ((or @t241 (not @t223))))
% 0.35/0.63  (step @p288 :rule cnf_or_neg :args (@t241 8))
% 0.35/0.63  (step @p289 :rule eq_resolve :premises (@p288 @p287))
% 0.35/0.63  (step @p290 :rule reordering :premises (@p289) :args ((or @t222 @t241)))
% 0.35/0.63  (step @p291 :rule chain_m_resolution :premises (@p290 @p242) :args (@t222 @t242 @t243))
% 0.35/0.63  (step @p292 :rule cnf_or_neg :args (@t241 5))
% 0.35/0.63  (step @p293 :rule chain_m_resolution :premises (@p292 @p242) :args ((not @t229) @t242 @t243))
% 0.35/0.63  (step @p294 :rule bool-double-not-elim :args (@t234))
% 0.35/0.63  (step @p295 :rule nary_cong :premises (@p244 @p294) :args ((or @t241 (not @t235))))
% 0.35/0.63  (step @p296 :rule cnf_or_neg :args (@t241 3))
% 0.35/0.63  (step @p297 :rule eq_resolve :premises (@p296 @p295))
% 0.35/0.63  (step @p298 :rule reordering :premises (@p297) :args ((or @t234 @t241)))
% 0.35/0.63  (step @p299 :rule chain_m_resolution :premises (@p298 @p242) :args (@t234 @t242 @t243))
% 0.35/0.63  (step @p300 :rule bool-double-not-elim :args (@t236))
% 0.35/0.63  (step @p301 :rule nary_cong :premises (@p244 @p300) :args ((or @t241 (not @t237))))
% 0.35/0.63  (step @p302 :rule cnf_or_neg :args (@t241 2))
% 0.35/0.63  (step @p303 :rule eq_resolve :premises (@p302 @p301))
% 0.35/0.63  (step @p304 :rule reordering :premises (@p303) :args ((or @t236 @t241)))
% 0.35/0.63  (step @p305 :rule chain_m_resolution :premises (@p304 @p242) :args (@t236 @t242 @t243))
% 0.35/0.63  (step @p306 :rule cnf_or_pos :args (@t252))
% 0.35/0.63  (step @p307 :rule reordering :premises (@p306) :args ((or @t240 @t238 @t237 @t235 @t229 @t223 @t251 @t253)))
% 0.35/0.63  (step @p308 :rule chain_m_resolution :premises (@p307 @p255 @p249 @p305 @p299 @p293 @p291 @p285) :args (@t253 (@list false false false false true false false) (@list @t239 @t220 @t236 @t234 @t229 @t222 @t247)))
% 0.35/0.63  (assume-push @p315 @t254)
% 0.35/0.63  (step @p310 :rule instantiate :premises (@p98) :args ((@list @t163 @t162 @t161 @t160)))
% 0.35/0.63  (step-pop @p316 :rule scope :premises (@p310))
% 0.35/0.63  (step @p311 :rule process_scope :premises (@p316) :args (@t252))
% 0.35/0.63  (step @p313 :rule implies_elim :premises (@p311))
% 0.35/0.63  (step @p314 false :rule chain_m_resolution :premises (@p313 @p308 @p98) :args (false (@list true false) (@list @t252 @t254)))
% 0.35/0.63  )
% 0.35/0.63  % SZS output end Proof
% 0.35/0.64  % cvc5 exiting
%------------------------------------------------------------------------------