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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU448+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 08:51:51 AM UTC 2026

% Result   : Theorem 1.03s 1.26s
% Output   : Proof 1.03s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU448+1 : TPTP v9.2.1. Released v3.4.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n006.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 17:33:34 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.29/0.50  %----Proving TF0_NAR, FOF, or CNF
% 1.03/1.26  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 1.03/1.26  % SZS status Theorem
% 1.03/1.26  % SZS output start Proof
% 1.03/1.26  (
% 1.03/1.26  (declare-sort $$unsorted 0)
% 1.03/1.26  (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted))
% 1.03/1.26  (declare-const tptp.r1_xboole_0 (-> $$unsorted $$unsorted Bool))
% 1.03/1.26  (declare-const tptp.v3_relat_1 (-> $$unsorted Bool))
% 1.03/1.26  (declare-const tptp.k6_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 1.03/1.26  (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted))
% 1.03/1.26  (declare-const tptp.k10_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted))
% 1.03/1.26  (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool))
% 1.03/1.26  (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool))
% 1.03/1.26  (declare-const tptp.k1_xboole_0 $$unsorted)
% 1.03/1.26  (declare-const tptp.k3_subset_1 (-> $$unsorted $$unsorted $$unsorted))
% 1.03/1.26  (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool))
% 1.03/1.26  (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool))
% 1.03/1.26  (declare-const tptp.k4_relat_1 (-> $$unsorted $$unsorted))
% 1.03/1.26  (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted))
% 1.03/1.26  (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool))
% 1.03/1.26  (declare-const tptp.v1_relat_1 (-> $$unsorted Bool))
% 1.03/1.26  (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool))
% 1.03/1.26  (define @t1 () (@var "C" $$unsorted))
% 1.03/1.26  (define @t2 () (@var "D" $$unsorted))
% 1.03/1.26  (define @t3 () (@var "E" $$unsorted))
% 1.03/1.26  (define @t4 () (@var "B" $$unsorted))
% 1.03/1.26  (define @t5 () (@var "A" $$unsorted))
% 1.03/1.26  (define @t6 () (tptp.k3_subset_1 @t4 @t2))
% 1.03/1.26  (define @t7 () (tptp.k3_subset_1 @t5 @t1))
% 1.03/1.26  (define @t8 () (= (tptp.r1_tarski (tptp.k10_relset_1 @t5 @t4 @t3 @t7) @t6) (tptp.r1_tarski (tptp.k10_relset_1 @t4 @t5 (tptp.k6_relset_1 @t5 @t4 @t3) @t2) @t1)))
% 1.03/1.26  (define @t9 () (tptp.m2_relset_1 @t3 @t5 @t4))
% 1.03/1.26  (define @t10 () (@list @t3))
% 1.03/1.26  (define @t11 () (forall @t10 (=> @t9 @t8)))
% 1.03/1.26  (define @t12 () (tptp.k1_zfmisc_1 @t4))
% 1.03/1.26  (define @t13 () (tptp.m1_subset_1 @t2 @t12))
% 1.03/1.26  (define @t14 () (=> @t13 @t11))
% 1.03/1.26  (define @t15 () (@list @t2))
% 1.03/1.26  (define @t16 () (forall @t15 @t14))
% 1.03/1.26  (define @t17 () (tptp.k1_zfmisc_1 @t5))
% 1.03/1.26  (define @t18 () (tptp.m1_subset_1 @t1 @t17))
% 1.03/1.26  (define @t19 () (=> @t18 @t16))
% 1.03/1.26  (define @t20 () (@list @t5 @t4 @t1))
% 1.03/1.26  (define @t21 () (forall @t20 @t19))
% 1.03/1.26  (define @t22 () (not @t21))
% 1.03/1.26  (define @t23 () (tptp.r2_hidden @t5 @t4))
% 1.03/1.26  (define @t24 () (@list @t5 @t4))
% 1.03/1.26  (define @t25 () (tptp.v1_relat_1 @t5))
% 1.03/1.26  (define @t26 () (tptp.v1_xboole_0 @t5))
% 1.03/1.26  (define @t27 () (@list @t5))
% 1.03/1.26  (define @t28 () (tptp.k2_zfmisc_1 @t5 @t4))
% 1.03/1.26  (define @t29 () (tptp.k1_zfmisc_1 @t28))
% 1.03/1.26  (define @t30 () (tptp.m1_subset_1 @t1 @t29))
% 1.03/1.26  (define @t31 () (tptp.k10_relset_1 @t5 @t4 @t1 @t2))
% 1.03/1.26  (define @t32 () (tptp.m1_subset_1 @t31 @t12))
% 1.03/1.26  (define @t33 () (tptp.m1_relset_1 @t1 @t5 @t4))
% 1.03/1.26  (define @t34 () (@list @t5 @t4 @t1 @t2))
% 1.03/1.26  (define @t35 () (forall @t34 (=> @t33 @t32)))
% 1.03/1.26  (define @t36 () (tptp.k3_subset_1 @t5 @t4))
% 1.03/1.26  (define @t37 () (tptp.m1_subset_1 @t36 @t17))
% 1.03/1.26  (define @t38 () (tptp.m1_subset_1 @t4 @t17))
% 1.03/1.26  (define @t39 () (forall @t24 (=> @t38 @t37)))
% 1.03/1.26  (define @t40 () (tptp.k4_relat_1 @t5))
% 1.03/1.26  (define @t41 () (tptp.v1_relat_1 @t40))
% 1.03/1.26  (define @t42 () (tptp.k6_relset_1 @t5 @t4 @t1))
% 1.03/1.26  (define @t43 () (tptp.m2_relset_1 @t42 @t4 @t5))
% 1.03/1.26  (define @t44 () (forall @t20 (=> @t33 @t43)))
% 1.03/1.26  (define @t45 () (tptp.m2_relset_1 @t1 @t5 @t4))
% 1.03/1.26  (define @t46 () (forall @t20 (=> @t45 @t30)))
% 1.03/1.26  (define @t47 () (@list @t1))
% 1.03/1.26  (define @t48 () (@list @t4))
% 1.03/1.26  (define @t49 () (tptp.v1_relat_1 tptp.k1_xboole_0))
% 1.03/1.26  (define @t50 () (tptp.v1_xboole_0 tptp.k1_xboole_0))
% 1.03/1.26  (define @t51 () (tptp.v1_xboole_0 @t4))
% 1.03/1.26  (define @t52 () (not @t51))
% 1.03/1.26  (define @t53 () (not @t26))
% 1.03/1.26  (define @t54 () (tptp.k3_subset_1 @t5 @t36))
% 1.03/1.26  (define @t55 () (=> @t38 (= @t54 @t4)))
% 1.03/1.26  (define @t56 () (forall @t24 @t55))
% 1.03/1.26  (define @t57 () (= @t31 (tptp.k9_relat_1 @t1 @t2)))
% 1.03/1.26  (define @t58 () (forall @t34 (=> @t33 @t57)))
% 1.03/1.26  (define @t59 () (= @t42 (tptp.k4_relat_1 @t1)))
% 1.03/1.26  (define @t60 () (forall @t20 (=> @t33 @t59)))
% 1.03/1.26  (define @t61 () (forall @t20 (= @t45 @t33)))
% 1.03/1.26  (define @t62 () (tptp.r1_xboole_0 @t4 @t5))
% 1.03/1.26  (define @t63 () (tptp.r1_xboole_0 @t5 @t4))
% 1.03/1.26  (define @t64 () (forall @t24 (=> @t63 @t62)))
% 1.03/1.26  (define @t65 () (tptp.m1_subset_1 @t5 @t4))
% 1.03/1.26  (define @t66 () (= (tptp.r1_xboole_0 @t4 @t1) (tptp.r1_tarski @t4 @t7)))
% 1.03/1.26  (define @t67 () (forall @t47 (=> @t18 @t66)))
% 1.03/1.26  (define @t68 () (=> @t38 @t67))
% 1.03/1.26  (define @t69 () (forall @t24 @t68))
% 1.03/1.26  (define @t70 () (= (tptp.r1_xboole_0 @t1 (tptp.k9_relat_1 (tptp.k4_relat_1 @t3) @t2)) (tptp.r1_xboole_0 @t2 (tptp.k9_relat_1 @t3 @t1))))
% 1.03/1.26  (define @t71 () (tptp.m1_subset_1 @t3 @t29))
% 1.03/1.26  (define @t72 () (forall @t10 (=> @t71 @t70)))
% 1.03/1.26  (define @t73 () (=> @t13 @t72))
% 1.03/1.26  (define @t74 () (forall @t15 @t73))
% 1.03/1.26  (define @t75 () (=> @t18 @t74))
% 1.03/1.26  (define @t76 () (forall @t20 @t75))
% 1.03/1.26  (define @t77 () (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t1)))
% 1.03/1.26  (define @t78 () (@var "BOUND_VARIABLE_7884" $$unsorted))
% 1.03/1.26  (define @t79 () (@var "BOUND_VARIABLE_7882" $$unsorted))
% 1.03/1.26  (define @t80 () (= (tptp.r1_xboole_0 @t1 (tptp.k9_relat_1 (tptp.k4_relat_1 @t78) @t79)) (tptp.r1_xboole_0 @t79 (tptp.k9_relat_1 @t78 @t1))))
% 1.03/1.26  (define @t81 () (not (tptp.m1_subset_1 @t78 @t29)))
% 1.03/1.26  (define @t82 () (not (tptp.m1_subset_1 @t79 @t12)))
% 1.03/1.26  (define @t83 () (not @t18))
% 1.03/1.26  (define @t84 () (or @t82 @t81 @t80))
% 1.03/1.26  (define @t85 () (or @t83 @t84))
% 1.03/1.26  (define @t86 () (forall (@list @t5 @t4 @t1 @t79 @t78) @t85))
% 1.03/1.26  (define @t87 () (@list @t79 @t78))
% 1.03/1.26  (define @t88 () (forall @t87 @t85))
% 1.03/1.26  (define @t89 () (forall @t87 @t84))
% 1.03/1.26  (define @t90 () (@var "BOUND_VARIABLE_7862" $$unsorted))
% 1.03/1.26  (define @t91 () (or @t83 @t89))
% 1.03/1.26  (define @t92 () (= (tptp.r1_xboole_0 @t1 (tptp.k9_relat_1 (tptp.k4_relat_1 @t90) @t2)) (tptp.r1_xboole_0 @t2 (tptp.k9_relat_1 @t90 @t1))))
% 1.03/1.26  (define @t93 () (not (tptp.m1_subset_1 @t90 @t29)))
% 1.03/1.26  (define @t94 () (not @t13))
% 1.03/1.26  (define @t95 () (or @t94 @t93 @t92))
% 1.03/1.26  (define @t96 () (@list @t2 @t90))
% 1.03/1.26  (define @t97 () (forall @t96 @t95))
% 1.03/1.26  (define @t98 () (or @t93 @t92))
% 1.03/1.26  (define @t99 () (or @t94 @t98))
% 1.03/1.26  (define @t100 () (forall @t96 @t99))
% 1.03/1.26  (define @t101 () (@list @t90))
% 1.03/1.26  (define @t102 () (forall @t101 @t99))
% 1.03/1.26  (define @t103 () (forall @t101 @t98))
% 1.03/1.26  (define @t104 () (@list @t3))
% 1.03/1.26  (define @t105 () (or @t94 @t103))
% 1.03/1.26  (define @t106 () (forall @t10 (or (not @t71) @t70)))
% 1.03/1.26  (define @t107 () (@var "BOUND_VARIABLE_7658" $$unsorted))
% 1.03/1.26  (define @t108 () (@var "BOUND_VARIABLE_7660" $$unsorted))
% 1.03/1.26  (define @t109 () (= (tptp.r1_tarski (tptp.k10_relset_1 @t5 @t4 @t108 @t7) (tptp.k3_subset_1 @t4 @t107)) (tptp.r1_tarski (tptp.k10_relset_1 @t4 @t5 (tptp.k6_relset_1 @t5 @t4 @t108) @t107) @t1)))
% 1.03/1.26  (define @t110 () (not (tptp.m2_relset_1 @t108 @t5 @t4)))
% 1.03/1.26  (define @t111 () (not (tptp.m1_subset_1 @t107 @t12)))
% 1.03/1.26  (define @t112 () (or @t83 @t111 @t110 @t109))
% 1.03/1.26  (define @t113 () (@list @t5 @t4 @t1 @t107 @t108))
% 1.03/1.26  (define @t114 () (forall @t113 @t112))
% 1.03/1.26  (define @t115 () (@quantifiers_skolemize @t114 4))
% 1.03/1.26  (define @t116 () (@quantifiers_skolemize @t114 3))
% 1.03/1.26  (define @t117 () (@quantifiers_skolemize @t114 2))
% 1.03/1.26  (define @t118 () (@quantifiers_skolemize @t114 0))
% 1.03/1.26  (define @t119 () (tptp.k3_subset_1 @t118 @t117))
% 1.03/1.26  (define @t120 () (@quantifiers_skolemize @t114 1))
% 1.03/1.26  (define @t121 () (@list @t118 @t120 @t115))
% 1.03/1.26  (define @t122 () (or @t111 @t110 @t109))
% 1.03/1.26  (define @t123 () (or @t83 @t122))
% 1.03/1.26  (define @t124 () (forall @t113 @t123))
% 1.03/1.26  (define @t125 () (@list @t107 @t108))
% 1.03/1.26  (define @t126 () (forall @t125 @t123))
% 1.03/1.26  (define @t127 () (forall @t125 @t122))
% 1.03/1.26  (define @t128 () (@var "BOUND_VARIABLE_7637" $$unsorted))
% 1.03/1.26  (define @t129 () (or @t83 @t127))
% 1.03/1.26  (define @t130 () (= (tptp.r1_tarski (tptp.k10_relset_1 @t5 @t4 @t128 @t7) @t6) (tptp.r1_tarski (tptp.k10_relset_1 @t4 @t5 (tptp.k6_relset_1 @t5 @t4 @t128) @t2) @t1)))
% 1.03/1.26  (define @t131 () (not (tptp.m2_relset_1 @t128 @t5 @t4)))
% 1.03/1.26  (define @t132 () (or @t94 @t131 @t130))
% 1.03/1.26  (define @t133 () (@list @t2 @t128))
% 1.03/1.26  (define @t134 () (forall @t133 @t132))
% 1.03/1.26  (define @t135 () (or @t131 @t130))
% 1.03/1.26  (define @t136 () (or @t94 @t135))
% 1.03/1.26  (define @t137 () (forall @t133 @t136))
% 1.03/1.26  (define @t138 () (@list @t128))
% 1.03/1.26  (define @t139 () (forall @t138 @t136))
% 1.03/1.26  (define @t140 () (forall @t138 @t135))
% 1.03/1.26  (define @t141 () (or @t94 @t140))
% 1.03/1.26  (define @t142 () (forall @t10 (or (not @t9) @t8)))
% 1.03/1.26  (define @t143 () (tptp.m2_relset_1 @t115 @t118 @t120))
% 1.03/1.26  (define @t144 () (tptp.k6_relset_1 @t118 @t120 @t115))
% 1.03/1.26  (define @t145 () (tptp.k10_relset_1 @t120 @t118 @t144 @t116))
% 1.03/1.26  (define @t146 () (tptp.r1_tarski @t145 @t117))
% 1.03/1.26  (define @t147 () (tptp.k10_relset_1 @t118 @t120 @t115 @t119))
% 1.03/1.26  (define @t148 () (tptp.r1_tarski @t147 (tptp.k3_subset_1 @t120 @t116)))
% 1.03/1.26  (define @t149 () (= @t148 @t146))
% 1.03/1.26  (define @t150 () (not @t143))
% 1.03/1.26  (define @t151 () (tptp.k1_zfmisc_1 @t120))
% 1.03/1.26  (define @t152 () (tptp.m1_subset_1 @t116 @t151))
% 1.03/1.26  (define @t153 () (not @t152))
% 1.03/1.26  (define @t154 () (tptp.k1_zfmisc_1 @t118))
% 1.03/1.26  (define @t155 () (tptp.m1_subset_1 @t117 @t154))
% 1.03/1.26  (define @t156 () (not @t155))
% 1.03/1.26  (define @t157 () (or @t156 @t153 @t150 @t149))
% 1.03/1.26  (define @t158 () (@list true))
% 1.03/1.26  (define @t159 () (@list @t157))
% 1.03/1.26  (define @t160 () (tptp.m1_subset_1 @t115 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t118 @t120))))
% 1.03/1.26  (define @t161 () (or @t150 @t160))
% 1.03/1.26  (define @t162 () (@list false false))
% 1.03/1.26  (define @t163 () (@list @t118 @t117))
% 1.03/1.26  (define @t164 () (tptp.m1_subset_1 @t119 @t154))
% 1.03/1.26  (define @t165 () (or @t156 @t164))
% 1.03/1.26  (define @t166 () (tptp.k9_relat_1 @t115 @t119))
% 1.03/1.26  (define @t167 () (tptp.r1_xboole_0 @t116 @t166))
% 1.03/1.26  (define @t168 () (tptp.k4_relat_1 @t115))
% 1.03/1.26  (define @t169 () (tptp.k9_relat_1 @t168 @t116))
% 1.03/1.26  (define @t170 () (tptp.r1_xboole_0 @t119 @t169))
% 1.03/1.26  (define @t171 () (= @t170 @t167))
% 1.03/1.26  (define @t172 () (not @t160))
% 1.03/1.26  (define @t173 () (not @t164))
% 1.03/1.26  (define @t174 () (or @t173 @t153 @t172 @t171))
% 1.03/1.26  (define @t175 () (@var "BOUND_VARIABLE_7819" $$unsorted))
% 1.03/1.26  (define @t176 () (= (tptp.r1_xboole_0 @t4 @t175) (tptp.r1_tarski @t4 (tptp.k3_subset_1 @t5 @t175))))
% 1.03/1.26  (define @t177 () (not (tptp.m1_subset_1 @t175 @t17)))
% 1.03/1.26  (define @t178 () (not @t38))
% 1.03/1.26  (define @t179 () (or @t178 @t177 @t176))
% 1.03/1.26  (define @t180 () (or @t177 @t176))
% 1.03/1.26  (define @t181 () (or @t178 @t180))
% 1.03/1.26  (define @t182 () (@list @t5 @t4 @t175))
% 1.03/1.26  (define @t183 () (forall @t182 @t181))
% 1.03/1.26  (define @t184 () (@list @t175))
% 1.03/1.26  (define @t185 () (forall @t184 @t181))
% 1.03/1.26  (define @t186 () (forall @t184 @t180))
% 1.03/1.26  (define @t187 () (or @t178 @t186))
% 1.03/1.26  (define @t188 () (forall @t47 (or @t83 @t66)))
% 1.03/1.26  (define @t189 () (@list @t120 @t118 @t144 @t116))
% 1.03/1.26  (define @t190 () (tptp.m1_relset_1 @t115 @t118 @t120))
% 1.03/1.26  (define @t191 () (forall @t20 (= @t33 @t45)))
% 1.03/1.26  (define @t192 () (= @t190 @t143))
% 1.03/1.26  (define @t193 () (= @t143 @t190))
% 1.03/1.26  (define @t194 () (@list false))
% 1.03/1.26  (define @t195 () (tptp.m2_relset_1 @t144 @t120 @t118))
% 1.03/1.26  (define @t196 () (not @t190))
% 1.03/1.26  (define @t197 () (or @t196 @t195))
% 1.03/1.26  (define @t198 () (tptp.m1_relset_1 @t144 @t120 @t118))
% 1.03/1.26  (define @t199 () (= @t198 @t195))
% 1.03/1.26  (define @t200 () (tptp.m1_subset_1 @t145 @t154))
% 1.03/1.26  (define @t201 () (not @t198))
% 1.03/1.26  (define @t202 () (or @t201 @t200))
% 1.03/1.26  (define @t203 () (tptp.k3_subset_1 @t118 @t119))
% 1.03/1.26  (define @t204 () (tptp.r1_tarski @t145 @t203))
% 1.03/1.26  (define @t205 () (tptp.r1_xboole_0 @t145 @t119))
% 1.03/1.26  (define @t206 () (= @t205 @t204))
% 1.03/1.26  (define @t207 () (not @t200))
% 1.03/1.26  (define @t208 () (or @t207 @t173 @t206))
% 1.03/1.26  (define @t209 () (@list false false false))
% 1.03/1.26  (define @t210 () (= @t4 @t54))
% 1.03/1.26  (define @t211 () (= @t117 @t203))
% 1.03/1.26  (define @t212 () (or @t156 @t211))
% 1.03/1.26  (define @t213 () (tptp.r1_xboole_0 @t147 @t116))
% 1.03/1.26  (define @t214 () (tptp.m1_subset_1 @t147 @t151))
% 1.03/1.26  (define @t215 () (not @t214))
% 1.03/1.26  (define @t216 () (or @t215 @t153 (= @t213 @t148)))
% 1.03/1.26  (define @t217 () (forall @t182 @t179))
% 1.03/1.26  (define @t218 () (= @t148 @t213))
% 1.03/1.26  (define @t219 () (or @t215 @t153 @t218))
% 1.03/1.26  (define @t220 () (@list @t118 @t120 @t115 @t119))
% 1.03/1.26  (define @t221 () (or @t196 @t214))
% 1.03/1.26  (define @t222 () (not @t218))
% 1.03/1.26  (define @t223 () (not @t213))
% 1.03/1.26  (define @t224 () (tptp.r1_xboole_0 @t116 @t147))
% 1.03/1.26  (define @t225 () (not @t224))
% 1.03/1.26  (define @t226 () (or @t225 @t213))
% 1.03/1.26  (define @t227 () (and @t146 @t211))
% 1.03/1.26  (define @t228 () (= @t147 @t166))
% 1.03/1.26  (define @t229 () (or @t196 @t228))
% 1.03/1.26  (define @t230 () (not @t167))
% 1.03/1.26  (define @t231 () (not @t228))
% 1.03/1.26  (define @t232 () (and @t228 @t225))
% 1.03/1.26  (define @t233 () (not @t206))
% 1.03/1.26  (define @t234 () (not @t204))
% 1.03/1.26  (define @t235 () (not @t171))
% 1.03/1.26  (define @t236 () (not @t170))
% 1.03/1.26  (define @t237 () (tptp.r1_xboole_0 @t119 @t145))
% 1.03/1.26  (define @t238 () (not @t205))
% 1.03/1.26  (define @t239 () (or @t238 @t237))
% 1.03/1.26  (define @t240 () (= @t144 @t168))
% 1.03/1.26  (define @t241 () (or @t196 @t240))
% 1.03/1.26  (define @t242 () (tptp.k9_relat_1 @t144 @t116))
% 1.03/1.26  (define @t243 () (= @t145 @t242))
% 1.03/1.26  (define @t244 () (or @t201 @t243))
% 1.03/1.26  (define @t245 () (not @t237))
% 1.03/1.26  (define @t246 () (not @t240))
% 1.03/1.26  (define @t247 () (not @t243))
% 1.03/1.26  (define @t248 () (and @t243 @t240 @t236))
% 1.03/1.26  (define @t249 () (not @t146))
% 1.03/1.26  (define @t250 () (@list true false))
% 1.03/1.26  (define @t251 () (not @t211))
% 1.03/1.26  (define @t252 () (and @t249 @t211))
% 1.03/1.26  (define @t253 () (or @t245 @t205))
% 1.03/1.26  (define @t254 () (and @t243 @t240 @t245))
% 1.03/1.26  (define @t255 () (and @t228 @t230))
% 1.03/1.26  (define @t256 () (@list false true))
% 1.03/1.26  (define @t257 () (or @t223 @t224))
% 1.03/1.26  (define @t258 () (not @t257))
% 1.03/1.26  (define @t259 () (forall @t24 (or (not @t63) @t62)))
% 1.03/1.26  (assume @p1 @t22)
% 1.03/1.26  (assume @p2 (forall @t24 (=> @t23 (not (tptp.r2_hidden @t4 @t5)))))
% 1.03/1.26  (assume @p3 (forall @t27 (=> @t26 @t25)))
% 1.03/1.26  (assume @p4 (forall @t20 (=> @t30 (tptp.v1_relat_1 @t1))))
% 1.03/1.26  (assume @p5 @t35)
% 1.03/1.26  (assume @p6 true)
% 1.03/1.26  (assume @p7 @t39)
% 1.03/1.26  (assume @p8 (forall @t27 (=> @t25 @t41)))
% 1.03/1.26  (assume @p9 @t44)
% 1.03/1.26  (assume @p10 @t46)
% 1.03/1.26  (assume @p11 (forall @t24 (exists @t47 @t33)))
% 1.03/1.26  (assume @p12 (forall @t27 (exists @t48 (tptp.m1_subset_1 @t4 @t5))))
% 1.03/1.26  (assume @p13 (forall @t24 (exists @t47 @t45)))
% 1.03/1.26  (assume @p14 (forall @t27 (=> @t26 (and (tptp.v1_xboole_0 @t40) @t41))))
% 1.03/1.26  (assume @p15 (and @t50 @t49 (tptp.v3_relat_1 tptp.k1_xboole_0)))
% 1.03/1.26  (assume @p16 (forall @t27 (not (tptp.v1_xboole_0 @t17))))
% 1.03/1.26  (assume @p17 (forall @t24 (tptp.v1_relat_1 @t28)))
% 1.03/1.26  (assume @p18 (and @t50 @t49))
% 1.03/1.26  (assume @p19 (forall @t24 (=> (and @t53 @t52) (not (tptp.v1_xboole_0 @t28)))))
% 1.03/1.26  (assume @p20 @t56)
% 1.03/1.26  (assume @p21 (forall @t27 (=> @t25 (= (tptp.k4_relat_1 @t40) @t5))))
% 1.03/1.26  (assume @p22 (forall @t20 (=> @t33 (= (tptp.k6_relset_1 @t5 @t4 @t42) @t1))))
% 1.03/1.26  (assume @p23 (exists @t27 (and @t26 @t25)))
% 1.03/1.26  (assume @p24 (forall @t27 (=> @t53 (exists @t48 (and @t38 @t52)))))
% 1.03/1.26  (assume @p25 (exists @t27 (and @t53 @t25)))
% 1.03/1.26  (assume @p26 (forall @t27 (exists @t48 (and @t38 @t51))))
% 1.03/1.26  (assume @p27 (exists @t27 (and @t25 (tptp.v3_relat_1 @t5))))
% 1.03/1.26  (assume @p28 @t58)
% 1.03/1.26  (assume @p29 @t60)
% 1.03/1.26  (assume @p30 @t61)
% 1.03/1.26  (assume @p31 (forall @t24 (tptp.r1_tarski @t5 @t5)))
% 1.03/1.26  (assume @p32 @t64)
% 1.03/1.26  (assume @p33 (forall @t24 (=> @t23 @t65)))
% 1.03/1.26  (assume @p34 (forall @t24 (=> @t65 (or @t51 @t23))))
% 1.03/1.26  (assume @p35 (forall @t24 (= (tptp.m1_subset_1 @t5 @t12) (tptp.r1_tarski @t5 @t4))))
% 1.03/1.26  (assume @p36 @t69)
% 1.03/1.26  (assume @p37 (forall @t24 (=> @t38 (forall @t47 (=> @t18 (= (tptp.r1_xboole_0 @t4 @t7) (tptp.r1_tarski @t4 @t1)))))))
% 1.03/1.26  (assume @p38 @t76)
% 1.03/1.26  (assume @p39 (forall @t20 (=> (and @t23 @t77) (tptp.m1_subset_1 @t5 @t1))))
% 1.03/1.26  (assume @p40 (forall @t20 (not (and @t23 @t77 (tptp.v1_xboole_0 @t1)))))
% 1.03/1.26  (assume @p41 (forall @t27 (=> @t26 (= @t5 tptp.k1_xboole_0))))
% 1.03/1.26  (assume @p42 (forall @t24 (not (and @t23 @t51))))
% 1.03/1.26  (assume @p43 (forall @t24 (not (and @t26 (not (= @t5 @t4)) @t51))))
% 1.03/1.26  (step @p44 :rule bool-impl-elim :args (@t63 @t62))
% 1.03/1.26  (step @p45 :rule cong :premises (@p44) :args (@t64))
% 1.03/1.26  (step @p46 :rule eq_resolve :premises (@p32 @p45))
% 1.03/1.26  (step @p47 :rule aci_norm :args ((= @t85 (or @t83 @t82 @t81 @t80))))
% 1.03/1.26  (step @p48 :rule cong :premises (@p47) :args (@t86))
% 1.03/1.26  (step @p49 :rule quant-merge-prenex :args ((= (forall @t20 @t88) @t86)))
% 1.03/1.26  (step @p50 :rule alpha_equiv :args (@t89 (@list @t79 @t78) (@list @t2 @t90)))
% 1.03/1.26  (step @p51 :rule refl :args (@t83))
% 1.03/1.26  (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t91))
% 1.03/1.26  (step @p53 :rule quant-miniscope-or :args ((= @t88 @t91)))
% 1.03/1.26  (step @p54 :rule trans :premises (@p53 @p52))
% 1.03/1.26  (step @p55 :rule symm :premises (@p54))
% 1.03/1.26  (step @p56 :rule cong :premises (@p55) :args ((forall @t20 (or @t83 @t97))))
% 1.03/1.26  (step @p57 :rule trans :premises (@p56 @p49))
% 1.03/1.26  (step @p58 :rule trans :premises (@p57 @p48))
% 1.03/1.26  (step @p59 :rule bool-impl-elim :args (@t18 @t97))
% 1.03/1.26  (step @p60 :rule cong :premises (@p59) :args ((forall @t20 (=> @t18 @t97))))
% 1.03/1.26  (step @p61 :rule trans :premises (@p60 @p58))
% 1.03/1.26  (step @p62 :rule aci_norm :args ((= @t99 @t95)))
% 1.03/1.26  (step @p63 :rule cong :premises (@p62) :args (@t100))
% 1.03/1.26  (step @p64 :rule quant-merge-prenex :args ((= (forall @t15 @t102) @t100)))
% 1.03/1.26  (step @p65 :rule alpha_equiv :args (@t103 (@list @t90) @t104))
% 1.03/1.26  (step @p66 :rule refl :args (@t94))
% 1.03/1.26  (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t105))
% 1.03/1.26  (step @p68 :rule quant-miniscope-or :args ((= @t102 @t105)))
% 1.03/1.26  (step @p69 :rule trans :premises (@p68 @p67))
% 1.03/1.26  (step @p70 :rule symm :premises (@p69))
% 1.03/1.26  (step @p71 :rule cong :premises (@p70) :args ((forall @t15 (or @t94 @t106))))
% 1.03/1.26  (step @p72 :rule trans :premises (@p71 @p64))
% 1.03/1.26  (step @p73 :rule trans :premises (@p72 @p63))
% 1.03/1.26  (step @p74 :rule bool-impl-elim :args (@t13 @t106))
% 1.03/1.26  (step @p75 :rule cong :premises (@p74) :args ((forall @t15 (=> @t13 @t106))))
% 1.03/1.26  (step @p76 :rule trans :premises (@p75 @p73))
% 1.03/1.26  (step @p77 :rule bool-impl-elim :args (@t71 @t70))
% 1.03/1.26  (step @p78 :rule cong :premises (@p77) :args (@t72))
% 1.03/1.26  (step @p79 :rule refl :args (@t13))
% 1.03/1.26  (step @p80 :rule cong :premises (@p79 @p78) :args (@t73))
% 1.03/1.26  (step @p81 :rule cong :premises (@p80) :args (@t74))
% 1.03/1.26  (step @p82 :rule trans :premises (@p81 @p76))
% 1.03/1.26  (step @p83 :rule refl :args (@t18))
% 1.03/1.26  (step @p84 :rule cong :premises (@p83 @p82) :args (@t75))
% 1.03/1.26  (step @p85 :rule cong :premises (@p84) :args (@t76))
% 1.03/1.26  (step @p86 :rule trans :premises (@p85 @p61))
% 1.03/1.26  (step @p87 :rule eq_resolve :premises (@p38 @p86))
% 1.03/1.26  (step @p88 :rule instantiate :premises (@p87) :args ((@list @t118 @t120 @t119 @t116 @t115)))
% 1.03/1.26  (step @p89 :rule bool-impl-elim :args (@t45 @t30))
% 1.03/1.26  (step @p90 :rule cong :premises (@p89) :args (@t46))
% 1.03/1.26  (step @p91 :rule eq_resolve :premises (@p10 @p90))
% 1.03/1.26  (step @p92 :rule instantiate :premises (@p91) :args (@t121))
% 1.03/1.26  (step @p93 :rule aci_norm :args ((= @t123 @t112)))
% 1.03/1.26  (step @p94 :rule cong :premises (@p93) :args (@t124))
% 1.03/1.26  (step @p95 :rule quant-merge-prenex :args ((= (forall @t20 @t126) @t124)))
% 1.03/1.26  (step @p96 :rule alpha_equiv :args (@t127 (@list @t107 @t108) (@list @t2 @t128)))
% 1.03/1.26  (step @p97 :rule nary_cong :premises (@p51 @p96) :args (@t129))
% 1.03/1.26  (step @p98 :rule quant-miniscope-or :args ((= @t126 @t129)))
% 1.03/1.26  (step @p99 :rule trans :premises (@p98 @p97))
% 1.03/1.26  (step @p100 :rule symm :premises (@p99))
% 1.03/1.26  (step @p101 :rule cong :premises (@p100) :args ((forall @t20 (or @t83 @t134))))
% 1.03/1.26  (step @p102 :rule trans :premises (@p101 @p95))
% 1.03/1.26  (step @p103 :rule trans :premises (@p102 @p94))
% 1.03/1.26  (step @p104 :rule bool-impl-elim :args (@t18 @t134))
% 1.03/1.26  (step @p105 :rule cong :premises (@p104) :args ((forall @t20 (=> @t18 @t134))))
% 1.03/1.26  (step @p106 :rule trans :premises (@p105 @p103))
% 1.03/1.26  (step @p107 :rule aci_norm :args ((= @t136 @t132)))
% 1.03/1.26  (step @p108 :rule cong :premises (@p107) :args (@t137))
% 1.03/1.26  (step @p109 :rule quant-merge-prenex :args ((= (forall @t15 @t139) @t137)))
% 1.03/1.26  (step @p110 :rule alpha_equiv :args (@t140 (@list @t128) @t104))
% 1.03/1.26  (step @p111 :rule nary_cong :premises (@p66 @p110) :args (@t141))
% 1.03/1.26  (step @p112 :rule quant-miniscope-or :args ((= @t139 @t141)))
% 1.03/1.26  (step @p113 :rule trans :premises (@p112 @p111))
% 1.03/1.26  (step @p114 :rule symm :premises (@p113))
% 1.03/1.26  (step @p115 :rule cong :premises (@p114) :args ((forall @t15 (or @t94 @t142))))
% 1.03/1.26  (step @p116 :rule trans :premises (@p115 @p109))
% 1.03/1.26  (step @p117 :rule trans :premises (@p116 @p108))
% 1.03/1.26  (step @p118 :rule bool-impl-elim :args (@t13 @t142))
% 1.03/1.26  (step @p119 :rule cong :premises (@p118) :args ((forall @t15 (=> @t13 @t142))))
% 1.03/1.26  (step @p120 :rule trans :premises (@p119 @p117))
% 1.03/1.26  (step @p121 :rule bool-impl-elim :args (@t9 @t8))
% 1.03/1.26  (step @p122 :rule cong :premises (@p121) :args (@t11))
% 1.03/1.26  (step @p123 :rule cong :premises (@p79 @p122) :args (@t14))
% 1.03/1.26  (step @p124 :rule cong :premises (@p123) :args (@t16))
% 1.03/1.26  (step @p125 :rule trans :premises (@p124 @p120))
% 1.03/1.26  (step @p126 :rule cong :premises (@p83 @p125) :args (@t19))
% 1.03/1.26  (step @p127 :rule cong :premises (@p126) :args (@t21))
% 1.03/1.26  (step @p128 :rule trans :premises (@p127 @p106))
% 1.03/1.26  (step @p129 :rule cong :premises (@p128) :args (@t22))
% 1.03/1.26  (step @p130 :rule eq_resolve :premises (@p1 @p129))
% 1.03/1.26  (step @p131 :rule skolemize :premises (@p130))
% 1.03/1.26  (step @p132 :rule bool-double-not-elim :args (@t143))
% 1.03/1.26  (step @p133 :rule refl :args (@t157))
% 1.03/1.26  (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or @t157 (not @t150))))
% 1.03/1.26  (step @p135 :rule cnf_or_neg :args (@t157 2))
% 1.03/1.26  (step @p136 :rule eq_resolve :premises (@p135 @p134))
% 1.03/1.26  (step @p137 :rule reordering :premises (@p136) :args ((or @t143 @t157)))
% 1.03/1.26  (step @p138 :rule chain_m_resolution :premises (@p137 @p131) :args (@t143 @t158 @t159))
% 1.03/1.26  (step @p139 :rule cnf_or_pos :args (@t161))
% 1.03/1.26  (step @p140 :rule reordering :premises (@p139) :args ((or @t150 @t160 (not @t161))))
% 1.03/1.26  (step @p141 :rule chain_m_resolution :premises (@p140 @p138 @p92) :args (@t160 @t162 (@list @t143 @t161)))
% 1.03/1.26  (step @p142 :rule bool-impl-elim :args (@t38 @t37))
% 1.03/1.26  (step @p143 :rule cong :premises (@p142) :args (@t39))
% 1.03/1.26  (step @p144 :rule eq_resolve :premises (@p7 @p143))
% 1.03/1.26  (step @p145 :rule instantiate :premises (@p144) :args (@t163))
% 1.03/1.26  (step @p146 :rule bool-double-not-elim :args (@t155))
% 1.03/1.26  (step @p147 :rule nary_cong :premises (@p133 @p146) :args ((or @t157 (not @t156))))
% 1.03/1.26  (step @p148 :rule cnf_or_neg :args (@t157 0))
% 1.03/1.26  (step @p149 :rule eq_resolve :premises (@p148 @p147))
% 1.03/1.26  (step @p150 :rule reordering :premises (@p149) :args ((or @t155 @t157)))
% 1.03/1.26  (step @p151 :rule chain_m_resolution :premises (@p150 @p131) :args (@t155 @t158 @t159))
% 1.03/1.26  (step @p152 :rule cnf_or_pos :args (@t165))
% 1.03/1.26  (step @p153 :rule reordering :premises (@p152) :args ((or @t156 @t164 (not @t165))))
% 1.03/1.26  (step @p154 :rule chain_m_resolution :premises (@p153 @p151 @p145) :args (@t164 @t162 (@list @t155 @t165)))
% 1.03/1.26  (step @p155 :rule bool-double-not-elim :args (@t152))
% 1.03/1.26  (step @p156 :rule nary_cong :premises (@p133 @p155) :args ((or @t157 (not @t153))))
% 1.03/1.26  (step @p157 :rule cnf_or_neg :args (@t157 1))
% 1.03/1.26  (step @p158 :rule eq_resolve :premises (@p157 @p156))
% 1.03/1.26  (step @p159 :rule reordering :premises (@p158) :args ((or @t152 @t157)))
% 1.03/1.26  (step @p160 :rule chain_m_resolution :premises (@p159 @p131) :args (@t152 @t158 @t159))
% 1.03/1.26  (step @p161 :rule cnf_or_pos :args (@t174))
% 1.03/1.26  (step @p162 :rule reordering :premises (@p161) :args ((or @t153 @t173 @t172 @t171 (not @t174))))
% 1.03/1.26  (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p154 @p141 @p88) :args (@t171 (@list false false false false) (@list @t152 @t164 @t160 @t174)))
% 1.03/1.26  (step @p164 :rule instantiate :premises (@p46) :args ((@list @t119 @t145)))
% 1.03/1.26  (step @p165 :rule aci_norm :args ((= @t181 @t179)))
% 1.03/1.26  (step @p166 :rule cong :premises (@p165) :args (@t183))
% 1.03/1.26  (step @p167 :rule quant-merge-prenex :args ((= (forall @t24 @t185) @t183)))
% 1.03/1.26  (step @p168 :rule alpha_equiv :args (@t186 (@list @t175) (@list @t1)))
% 1.03/1.26  (step @p169 :rule refl :args (@t178))
% 1.03/1.26  (step @p170 :rule nary_cong :premises (@p169 @p168) :args (@t187))
% 1.03/1.26  (step @p171 :rule quant-miniscope-or :args ((= @t185 @t187)))
% 1.03/1.26  (step @p172 :rule trans :premises (@p171 @p170))
% 1.03/1.26  (step @p173 :rule symm :premises (@p172))
% 1.03/1.26  (step @p174 :rule cong :premises (@p173) :args ((forall @t24 (or @t178 @t188))))
% 1.03/1.26  (step @p175 :rule trans :premises (@p174 @p167))
% 1.03/1.26  (step @p176 :rule trans :premises (@p175 @p166))
% 1.03/1.26  (step @p177 :rule bool-impl-elim :args (@t38 @t188))
% 1.03/1.26  (step @p178 :rule cong :premises (@p177) :args ((forall @t24 (=> @t38 @t188))))
% 1.03/1.26  (step @p179 :rule trans :premises (@p178 @p176))
% 1.03/1.26  (step @p180 :rule bool-impl-elim :args (@t18 @t66))
% 1.03/1.26  (step @p181 :rule cong :premises (@p180) :args (@t67))
% 1.03/1.26  (step @p182 :rule refl :args (@t38))
% 1.03/1.26  (step @p183 :rule cong :premises (@p182 @p181) :args (@t68))
% 1.03/1.26  (step @p184 :rule cong :premises (@p183) :args (@t69))
% 1.03/1.26  (step @p185 :rule trans :premises (@p184 @p179))
% 1.03/1.26  (step @p186 :rule eq_resolve :premises (@p36 @p185))
% 1.03/1.26  (step @p187 :rule instantiate :premises (@p186) :args ((@list @t118 @t145 @t119)))
% 1.03/1.26  (step @p188 :rule bool-impl-elim :args (@t33 @t32))
% 1.03/1.26  (step @p189 :rule cong :premises (@p188) :args (@t35))
% 1.03/1.26  (step @p190 :rule eq_resolve :premises (@p5 @p189))
% 1.03/1.26  (step @p191 :rule instantiate :premises (@p190) :args (@t189))
% 1.03/1.26  (step @p192 :rule eq-symm :args (@t45 @t33))
% 1.03/1.26  (step @p193 :rule cong :premises (@p192) :args (@t61))
% 1.03/1.26  (step @p194 :rule eq_resolve :premises (@p30 @p193))
% 1.03/1.26  (step @p195 :rule instantiate :premises (@p194) :args ((@list @t120 @t118 @t144)))
% 1.03/1.26  (step @p196 :rule bool-impl-elim :args (@t33 @t43))
% 1.03/1.26  (step @p197 :rule cong :premises (@p196) :args (@t44))
% 1.03/1.26  (step @p198 :rule eq_resolve :premises (@p9 @p197))
% 1.03/1.26  (step @p199 :rule instantiate :premises (@p198) :args (@t121))
% 1.03/1.26  (step @p200 :rule eq-symm :args (@t190 @t143))
% 1.03/1.26  (step @p201 :rule refl :args (@t191))
% 1.03/1.26  (step @p202 :rule cong :premises (@p201 @p200) :args ((=> @t191 @t192)))
% 1.03/1.26  (assume-push @p474 @t191)
% 1.03/1.26  (step @p204 :rule instantiate :premises (@p194) :args (@t121))
% 1.03/1.26  (step-pop @p475 :rule scope :premises (@p204))
% 1.03/1.26  (step @p205 :rule process_scope :premises (@p475) :args (@t192))
% 1.03/1.26  (step @p207 :rule eq_resolve :premises (@p205 @p202))
% 1.03/1.26  (step @p208 :rule implies_elim :premises (@p207))
% 1.03/1.26  (step @p209 :rule chain_m_resolution :premises (@p208 @p194) :args (@t193 @t194 (@list @t191)))
% 1.03/1.26  (step @p210 :rule cnf_equiv_pos1 :args (@t193))
% 1.03/1.26  (step @p211 :rule reordering :premises (@p210) :args ((or @t150 @t190 (not @t193))))
% 1.03/1.26  (step @p212 :rule chain_m_resolution :premises (@p211 @p138 @p209) :args (@t190 @t162 (@list @t143 @t193)))
% 1.03/1.26  (step @p213 :rule cnf_or_pos :args (@t197))
% 1.03/1.26  (step @p214 :rule reordering :premises (@p213) :args ((or @t196 @t195 (not @t197))))
% 1.03/1.26  (step @p215 :rule chain_m_resolution :premises (@p214 @p212 @p199) :args (@t195 @t162 (@list @t190 @t197)))
% 1.03/1.26  (step @p216 :rule cnf_equiv_pos2 :args (@t199))
% 1.03/1.26  (step @p217 :rule reordering :premises (@p216) :args ((or @t198 (not @t195) (not @t199))))
% 1.03/1.26  (step @p218 :rule chain_m_resolution :premises (@p217 @p215 @p195) :args (@t198 @t162 (@list @t195 @t199)))
% 1.03/1.26  (step @p219 :rule cnf_or_pos :args (@t202))
% 1.03/1.26  (step @p220 :rule reordering :premises (@p219) :args ((or @t201 @t200 (not @t202))))
% 1.03/1.26  (step @p221 :rule chain_m_resolution :premises (@p220 @p218 @p191) :args (@t200 @t162 (@list @t198 @t202)))
% 1.03/1.26  (step @p222 :rule cnf_or_pos :args (@t208))
% 1.03/1.26  (step @p223 :rule reordering :premises (@p222) :args ((or @t207 @t173 @t206 (not @t208))))
% 1.03/1.26  (step @p224 :rule chain_m_resolution :premises (@p223 @p221 @p154 @p187) :args (@t206 @t209 (@list @t200 @t164 @t208)))
% 1.03/1.26  (step @p225 :rule bool-impl-elim :args (@t38 @t210))
% 1.03/1.26  (step @p226 :rule cong :premises (@p225) :args ((forall @t24 (=> @t38 @t210))))
% 1.03/1.26  (step @p227 :rule eq-symm :args (@t54 @t4))
% 1.03/1.26  (step @p228 :rule cong :premises (@p182 @p227) :args (@t55))
% 1.03/1.26  (step @p229 :rule cong :premises (@p228) :args (@t56))
% 1.03/1.26  (step @p230 :rule trans :premises (@p229 @p226))
% 1.03/1.26  (step @p231 :rule eq_resolve :premises (@p20 @p230))
% 1.03/1.26  (step @p232 :rule instantiate :premises (@p231) :args (@t163))
% 1.03/1.26  (step @p233 :rule cnf_or_pos :args (@t212))
% 1.03/1.26  (step @p234 :rule reordering :premises (@p233) :args ((or @t156 @t211 (not @t212))))
% 1.03/1.26  (step @p235 :rule chain_m_resolution :premises (@p234 @p151 @p232) :args (@t211 @t162 (@list @t155 @t212)))
% 1.03/1.26  (step @p236 :rule cnf_or_neg :args (@t157 3))
% 1.03/1.26  (step @p237 :rule chain_m_resolution :premises (@p236 @p131) :args ((not @t149) @t158 @t159))
% 1.03/1.26  (step @p238 :rule cnf_equiv_neg1 :args (@t149))
% 1.03/1.26  (step @p239 :rule reordering :premises (@p238) :args ((or @t148 @t146 @t149)))
% 1.03/1.26  (step @p240 :rule eq-symm :args (@t213 @t148))
% 1.03/1.26  (step @p241 :rule refl :args (@t153))
% 1.03/1.26  (step @p242 :rule refl :args (@t215))
% 1.03/1.26  (step @p243 :rule nary_cong :premises (@p242 @p241 @p240) :args (@t216))
% 1.03/1.26  (step @p244 :rule refl :args (@t217))
% 1.03/1.26  (step @p245 :rule cong :premises (@p244 @p243) :args ((=> @t217 @t216)))
% 1.03/1.26  (assume-push @p476 @t217)
% 1.03/1.26  (step @p247 :rule instantiate :premises (@p186) :args ((@list @t120 @t147 @t116)))
% 1.03/1.26  (step-pop @p477 :rule scope :premises (@p247))
% 1.03/1.26  (step @p248 :rule process_scope :premises (@p477) :args (@t216))
% 1.03/1.26  (step @p250 :rule eq_resolve :premises (@p248 @p245))
% 1.03/1.26  (step @p251 :rule implies_elim :premises (@p250))
% 1.03/1.26  (step @p252 :rule chain_m_resolution :premises (@p251 @p186) :args (@t219 @t194 (@list @t217)))
% 1.03/1.26  (step @p253 :rule instantiate :premises (@p190) :args (@t220))
% 1.03/1.26  (step @p254 :rule cnf_or_pos :args (@t221))
% 1.03/1.26  (step @p255 :rule reordering :premises (@p254) :args ((or @t196 @t214 (not @t221))))
% 1.03/1.26  (step @p256 :rule chain_m_resolution :premises (@p255 @p212 @p253) :args (@t214 @t162 (@list @t190 @t221)))
% 1.03/1.26  (step @p257 :rule cnf_or_pos :args (@t219))
% 1.03/1.26  (step @p258 :rule reordering :premises (@p257) :args ((or @t153 @t215 @t218 (not @t219))))
% 1.03/1.26  (step @p259 :rule chain_m_resolution :premises (@p258 @p160 @p256 @p252) :args (@t218 @t209 (@list @t152 @t214 @t219)))
% 1.03/1.26  (step @p260 :rule cnf_equiv_pos2 :args (@t218))
% 1.03/1.26  (step @p261 :rule reordering :premises (@p260) :args ((or @t148 @t223 @t222)))
% 1.03/1.26  (step @p262 :rule instantiate :premises (@p46) :args ((@list @t116 @t147)))
% 1.03/1.26  (step @p263 :rule cnf_or_pos :args (@t226))
% 1.03/1.26  (step @p264 :rule reordering :premises (@p263) :args ((or @t213 @t225 (not @t226))))
% 1.03/1.26  (assume-push @p478 @t146)
% 1.03/1.26  (assume-push @p479 @t211)
% 1.03/1.26  (assume-push @p480 @t146)
% 1.03/1.26  (assume-push @p481 @t211)
% 1.03/1.26  (step @p269 :rule true_intro :premises (@p478))
% 1.03/1.26  (step @p270 :rule symm :premises (@p235))
% 1.03/1.26  (step @p271 :rule refl :args (@t145))
% 1.03/1.26  (step @p272 :rule cong :premises (@p271 @p270) :args (@t204))
% 1.03/1.26  (step @p273 :rule trans :premises (@p272 @p269))
% 1.03/1.26  (step @p274 :rule true_elim :premises (@p273))
% 1.03/1.26  (step-pop @p482 :rule scope :premises (@p274))
% 1.03/1.26  (step-pop @p483 :rule scope :premises (@p482))
% 1.03/1.26  (step @p275 :rule process_scope :premises (@p483) :args (@t204))
% 1.03/1.26  (step @p278 :rule and_intro :premises (@p478 @p235))
% 1.03/1.26  (step @p279 :rule modus_ponens :premises (@p278 @p275))
% 1.03/1.26  (step-pop @p484 :rule scope :premises (@p279))
% 1.03/1.26  (step-pop @p485 :rule scope :premises (@p484))
% 1.03/1.26  (step @p280 :rule process_scope :premises (@p485) :args (@t204))
% 1.03/1.26  (step @p283 :rule implies_elim :premises (@p280))
% 1.03/1.26  (step @p284 :rule cnf_and_neg :args (@t227))
% 1.03/1.26  (step @p285 :rule resolution :premises (@p284 @p283) :args (true @t227))
% 1.03/1.26  (step @p286 :rule bool-impl-elim :args (@t33 @t57))
% 1.03/1.26  (step @p287 :rule cong :premises (@p286) :args (@t58))
% 1.03/1.26  (step @p288 :rule eq_resolve :premises (@p28 @p287))
% 1.03/1.26  (step @p289 :rule instantiate :premises (@p288) :args (@t220))
% 1.03/1.26  (step @p290 :rule cnf_or_pos :args (@t229))
% 1.03/1.26  (step @p291 :rule reordering :premises (@p290) :args ((or @t196 @t228 (not @t229))))
% 1.03/1.26  (step @p292 :rule chain_m_resolution :premises (@p291 @p212 @p289) :args (@t228 @t162 (@list @t190 @t229)))
% 1.03/1.26  (step @p293 :rule refl :args (@t230))
% 1.03/1.26  (step @p294 :rule bool-double-not-elim :args (@t224))
% 1.03/1.26  (step @p295 :rule refl :args (@t231))
% 1.03/1.26  (step @p296 :rule nary_cong :premises (@p295 @p294 @p293) :args ((or @t231 (not @t225) @t230)))
% 1.03/1.26  (assume-push @p486 @t228)
% 1.03/1.26  (assume-push @p487 @t225)
% 1.03/1.26  (assume-push @p488 @t225)
% 1.03/1.26  (assume-push @p489 @t228)
% 1.03/1.26  (step @p301 :rule false_intro :premises (@p487))
% 1.03/1.26  (step @p302 :rule symm :premises (@p292))
% 1.03/1.26  (step @p303 :rule refl :args (@t116))
% 1.03/1.26  (step @p304 :rule cong :premises (@p303 @p302) :args (@t167))
% 1.03/1.26  (step @p305 :rule trans :premises (@p304 @p301))
% 1.03/1.26  (step @p306 :rule false_elim :premises (@p305))
% 1.03/1.26  (step-pop @p490 :rule scope :premises (@p306))
% 1.03/1.26  (step-pop @p491 :rule scope :premises (@p490))
% 1.03/1.26  (step @p307 :rule process_scope :premises (@p491) :args (@t230))
% 1.03/1.26  (step @p310 :rule and_intro :premises (@p487 @p292))
% 1.03/1.26  (step @p311 :rule modus_ponens :premises (@p310 @p307))
% 1.03/1.26  (step-pop @p492 :rule scope :premises (@p311))
% 1.03/1.26  (step-pop @p493 :rule scope :premises (@p492))
% 1.03/1.26  (step @p312 :rule process_scope :premises (@p493) :args (@t230))
% 1.03/1.26  (step @p315 :rule implies_elim :premises (@p312))
% 1.03/1.26  (step @p316 :rule cnf_and_neg :args (@t232))
% 1.03/1.26  (step @p317 :rule resolution :premises (@p316 @p315) :args (true @t232))
% 1.03/1.26  (step @p318 :rule eq_resolve :premises (@p317 @p296))
% 1.03/1.26  (step @p319 :rule cnf_equiv_pos2 :args (@t206))
% 1.03/1.26  (step @p320 :rule reordering :premises (@p319) :args ((or @t205 @t234 @t233)))
% 1.03/1.26  (step @p321 :rule cnf_equiv_pos1 :args (@t171))
% 1.03/1.26  (step @p322 :rule reordering :premises (@p321) :args ((or @t167 @t236 @t235)))
% 1.03/1.26  (step @p323 :rule instantiate :premises (@p46) :args ((@list @t145 @t119)))
% 1.03/1.26  (step @p324 :rule cnf_or_pos :args (@t239))
% 1.03/1.26  (step @p325 :rule reordering :premises (@p324) :args ((or @t238 @t237 (not @t239))))
% 1.03/1.26  (step @p326 :rule bool-impl-elim :args (@t33 @t59))
% 1.03/1.26  (step @p327 :rule cong :premises (@p326) :args (@t60))
% 1.03/1.26  (step @p328 :rule eq_resolve :premises (@p29 @p327))
% 1.03/1.26  (step @p329 :rule instantiate :premises (@p328) :args (@t121))
% 1.03/1.26  (step @p330 :rule cnf_or_pos :args (@t241))
% 1.03/1.26  (step @p331 :rule reordering :premises (@p330) :args ((or @t196 @t240 (not @t241))))
% 1.03/1.26  (step @p332 :rule chain_m_resolution :premises (@p331 @p212 @p329) :args (@t240 @t162 (@list @t190 @t241)))
% 1.03/1.26  (step @p333 :rule instantiate :premises (@p288) :args (@t189))
% 1.03/1.26  (step @p334 :rule cnf_or_pos :args (@t244))
% 1.03/1.26  (step @p335 :rule reordering :premises (@p334) :args ((or @t201 @t243 (not @t244))))
% 1.03/1.26  (step @p336 :rule chain_m_resolution :premises (@p335 @p218 @p333) :args (@t243 @t162 (@list @t198 @t244)))
% 1.03/1.26  (step @p337 :rule refl :args (@t245))
% 1.03/1.26  (step @p338 :rule bool-double-not-elim :args (@t170))
% 1.03/1.26  (step @p339 :rule refl :args (@t246))
% 1.03/1.26  (step @p340 :rule refl :args (@t247))
% 1.03/1.26  (step @p341 :rule nary_cong :premises (@p340 @p339 @p338 @p337) :args ((or @t247 @t246 (not @t236) @t245)))
% 1.03/1.26  (assume-push @p494 @t243)
% 1.03/1.26  (assume-push @p495 @t240)
% 1.03/1.26  (assume-push @p496 @t236)
% 1.03/1.26  (assume-push @p497 @t236)
% 1.03/1.26  (assume-push @p498 @t240)
% 1.03/1.26  (assume-push @p499 @t243)
% 1.03/1.26  (step @p348 :rule false_intro :premises (@p496))
% 1.03/1.26  (step @p303 :rule refl :args (@t116))
% 1.03/1.26  (step @p349 :rule cong :premises (@p332 @p303) :args (@t242))
% 1.03/1.26  (step @p350 :rule trans :premises (@p336 @p349))
% 1.03/1.26  (step @p351 :rule refl :args (@t119))
% 1.03/1.26  (step @p352 :rule cong :premises (@p351 @p350) :args (@t237))
% 1.03/1.26  (step @p353 :rule trans :premises (@p352 @p348))
% 1.03/1.26  (step @p354 :rule false_elim :premises (@p353))
% 1.03/1.26  (step-pop @p500 :rule scope :premises (@p354))
% 1.03/1.26  (step-pop @p501 :rule scope :premises (@p500))
% 1.03/1.26  (step-pop @p502 :rule scope :premises (@p501))
% 1.03/1.26  (step @p355 :rule process_scope :premises (@p502) :args (@t245))
% 1.03/1.26  (step @p359 :rule and_intro :premises (@p496 @p332 @p336))
% 1.03/1.26  (step @p360 :rule modus_ponens :premises (@p359 @p355))
% 1.03/1.26  (step-pop @p503 :rule scope :premises (@p360))
% 1.03/1.26  (step-pop @p504 :rule scope :premises (@p503))
% 1.03/1.26  (step-pop @p505 :rule scope :premises (@p504))
% 1.03/1.26  (step @p361 :rule process_scope :premises (@p505) :args (@t245))
% 1.03/1.26  (step @p365 :rule implies_elim :premises (@p361))
% 1.03/1.26  (step @p366 :rule cnf_and_neg :args (@t248))
% 1.03/1.26  (step @p367 :rule resolution :premises (@p366 @p365) :args (true @t248))
% 1.03/1.26  (step @p368 :rule eq_resolve :premises (@p367 @p341))
% 1.03/1.26  (step @p369 :rule chain_m_resolution :premises (@p368 @p336 @p332 @p325 @p323 @p322 @p163 @p320 @p224 @p318 @p292 @p285 @p235 @p264 @p262 @p261 @p259 @p239 @p237) :args (@t148 (@list false false false false true false false false true false false false true false true false false true) (@list @t243 @t240 @t237 @t239 @t170 @t171 @t205 @t206 @t167 @t228 @t204 @t211 @t224 @t226 @t213 @t218 @t146 @t149)))
% 1.03/1.26  (step @p370 :rule cnf_equiv_neg2 :args (@t149))
% 1.03/1.26  (step @p371 :rule chain_m_resolution :premises (@p370 @p237 @p369) :args (@t249 @t250 (@list @t149 @t148)))
% 1.03/1.26  (step @p372 :rule refl :args (@t234))
% 1.03/1.26  (step @p373 :rule refl :args (@t251))
% 1.03/1.26  (step @p374 :rule bool-double-not-elim :args (@t146))
% 1.03/1.26  (step @p375 :rule nary_cong :premises (@p374 @p373 @p372) :args ((or (not @t249) @t251 @t234)))
% 1.03/1.26  (assume-push @p506 @t249)
% 1.03/1.26  (assume-push @p507 @t211)
% 1.03/1.26  (assume-push @p508 @t249)
% 1.03/1.26  (assume-push @p509 @t211)
% 1.03/1.26  (step @p380 :rule false_intro :premises (@p506))
% 1.03/1.26  (step @p270 :rule symm :premises (@p235))
% 1.03/1.26  (step @p271 :rule refl :args (@t145))
% 1.03/1.26  (step @p272 :rule cong :premises (@p271 @p270) :args (@t204))
% 1.03/1.26  (step @p381 :rule trans :premises (@p272 @p380))
% 1.03/1.26  (step @p382 :rule false_elim :premises (@p381))
% 1.03/1.26  (step-pop @p510 :rule scope :premises (@p382))
% 1.03/1.26  (step-pop @p511 :rule scope :premises (@p510))
% 1.03/1.26  (step @p383 :rule process_scope :premises (@p511) :args (@t234))
% 1.03/1.26  (step @p386 :rule and_intro :premises (@p506 @p235))
% 1.03/1.26  (step @p387 :rule modus_ponens :premises (@p386 @p383))
% 1.03/1.26  (step-pop @p512 :rule scope :premises (@p387))
% 1.03/1.26  (step-pop @p513 :rule scope :premises (@p512))
% 1.03/1.26  (step @p388 :rule process_scope :premises (@p513) :args (@t234))
% 1.03/1.26  (step @p391 :rule implies_elim :premises (@p388))
% 1.03/1.26  (step @p392 :rule cnf_and_neg :args (@t252))
% 1.03/1.26  (step @p393 :rule resolution :premises (@p392 @p391) :args (true @t252))
% 1.03/1.26  (step @p394 :rule eq_resolve :premises (@p393 @p375))
% 1.03/1.26  (step @p395 :rule chain_m_resolution :premises (@p394 @p371 @p235) :args (@t234 @t250 (@list @t146 @t211)))
% 1.03/1.26  (step @p396 :rule cnf_equiv_pos1 :args (@t206))
% 1.03/1.26  (step @p397 :rule reordering :premises (@p396) :args ((or @t204 @t238 @t233)))
% 1.03/1.26  (step @p398 :rule chain_m_resolution :premises (@p397 @p395 @p224) :args (@t238 @t250 (@list @t204 @t206)))
% 1.03/1.26  (step @p399 :rule cnf_or_pos :args (@t253))
% 1.03/1.26  (step @p400 :rule reordering :premises (@p399) :args ((or @t205 @t245 (not @t253))))
% 1.03/1.26  (step @p401 :rule chain_m_resolution :premises (@p400 @p398 @p164) :args (@t245 @t250 (@list @t205 @t253)))
% 1.03/1.26  (step @p402 :rule refl :args (@t236))
% 1.03/1.26  (step @p403 :rule bool-double-not-elim :args (@t237))
% 1.03/1.26  (step @p404 :rule nary_cong :premises (@p340 @p339 @p403 @p402) :args ((or @t247 @t246 (not @t245) @t236)))
% 1.03/1.26  (assume-push @p514 @t243)
% 1.03/1.26  (assume-push @p515 @t240)
% 1.03/1.26  (assume-push @p516 @t245)
% 1.03/1.26  (assume-push @p517 @t245)
% 1.03/1.26  (assume-push @p518 @t243)
% 1.03/1.26  (assume-push @p519 @t240)
% 1.03/1.26  (step @p411 :rule false_intro :premises (@p516))
% 1.03/1.26  (step @p412 :rule symm :premises (@p336))
% 1.03/1.26  (step @p303 :rule refl :args (@t116))
% 1.03/1.26  (step @p413 :rule symm :premises (@p332))
% 1.03/1.26  (step @p414 :rule cong :premises (@p413 @p303) :args (@t169))
% 1.03/1.26  (step @p415 :rule trans :premises (@p414 @p412))
% 1.03/1.26  (step @p351 :rule refl :args (@t119))
% 1.03/1.26  (step @p416 :rule cong :premises (@p351 @p415) :args (@t170))
% 1.03/1.26  (step @p417 :rule trans :premises (@p416 @p411))
% 1.03/1.26  (step @p418 :rule false_elim :premises (@p417))
% 1.03/1.26  (step-pop @p520 :rule scope :premises (@p418))
% 1.03/1.26  (step-pop @p521 :rule scope :premises (@p520))
% 1.03/1.26  (step-pop @p522 :rule scope :premises (@p521))
% 1.03/1.26  (step @p419 :rule process_scope :premises (@p522) :args (@t236))
% 1.03/1.26  (step @p423 :rule and_intro :premises (@p516 @p336 @p332))
% 1.03/1.26  (step @p424 :rule modus_ponens :premises (@p423 @p419))
% 1.03/1.26  (step-pop @p523 :rule scope :premises (@p424))
% 1.03/1.26  (step-pop @p524 :rule scope :premises (@p523))
% 1.03/1.26  (step-pop @p525 :rule scope :premises (@p524))
% 1.03/1.26  (step @p425 :rule process_scope :premises (@p525) :args (@t236))
% 1.03/1.26  (step @p429 :rule implies_elim :premises (@p425))
% 1.03/1.26  (step @p430 :rule cnf_and_neg :args (@t254))
% 1.03/1.26  (step @p431 :rule resolution :premises (@p430 @p429) :args (true @t254))
% 1.03/1.26  (step @p432 :rule eq_resolve :premises (@p431 @p404))
% 1.03/1.26  (step @p433 :rule chain_m_resolution :premises (@p432 @p336 @p332 @p401) :args (@t236 (@list false false true) (@list @t243 @t240 @t237)))
% 1.03/1.26  (step @p434 :rule cnf_equiv_pos2 :args (@t171))
% 1.03/1.26  (step @p435 :rule reordering :premises (@p434) :args ((or @t170 @t230 @t235)))
% 1.03/1.26  (step @p436 :rule chain_m_resolution :premises (@p435 @p433 @p163) :args (@t230 @t250 (@list @t170 @t171)))
% 1.03/1.26  (step @p437 :rule refl :args (@t225))
% 1.03/1.26  (step @p438 :rule bool-double-not-elim :args (@t167))
% 1.03/1.26  (step @p439 :rule nary_cong :premises (@p295 @p438 @p437) :args ((or @t231 (not @t230) @t225)))
% 1.03/1.26  (assume-push @p526 @t228)
% 1.03/1.26  (assume-push @p527 @t230)
% 1.03/1.26  (assume-push @p528 @t230)
% 1.03/1.26  (assume-push @p529 @t228)
% 1.03/1.26  (step @p444 :rule false_intro :premises (@p527))
% 1.03/1.26  (step @p303 :rule refl :args (@t116))
% 1.03/1.26  (step @p445 :rule cong :premises (@p303 @p292) :args (@t224))
% 1.03/1.26  (step @p446 :rule trans :premises (@p445 @p444))
% 1.03/1.26  (step @p447 :rule false_elim :premises (@p446))
% 1.03/1.26  (step-pop @p530 :rule scope :premises (@p447))
% 1.03/1.26  (step-pop @p531 :rule scope :premises (@p530))
% 1.03/1.26  (step @p448 :rule process_scope :premises (@p531) :args (@t225))
% 1.03/1.26  (step @p451 :rule and_intro :premises (@p527 @p292))
% 1.03/1.26  (step @p452 :rule modus_ponens :premises (@p451 @p448))
% 1.03/1.26  (step-pop @p532 :rule scope :premises (@p452))
% 1.03/1.26  (step-pop @p533 :rule scope :premises (@p532))
% 1.03/1.26  (step @p453 :rule process_scope :premises (@p533) :args (@t225))
% 1.03/1.26  (step @p456 :rule implies_elim :premises (@p453))
% 1.03/1.26  (step @p457 :rule cnf_and_neg :args (@t255))
% 1.03/1.26  (step @p458 :rule resolution :premises (@p457 @p456) :args (true @t255))
% 1.03/1.26  (step @p459 :rule eq_resolve :premises (@p458 @p439))
% 1.03/1.26  (step @p460 :rule reordering :premises (@p459) :args ((or @t231 @t225 @t167)))
% 1.03/1.26  (step @p461 :rule chain_m_resolution :premises (@p460 @p292 @p436) :args (@t225 @t256 (@list @t228 @t167)))
% 1.03/1.26  (step @p462 :rule cnf_equiv_pos1 :args (@t218))
% 1.03/1.26  (step @p463 :rule reordering :premises (@p462) :args ((or (not @t148) @t213 @t222)))
% 1.03/1.26  (step @p464 :rule chain_m_resolution :premises (@p463 @p369 @p259) :args (@t213 @t162 (@list @t148 @t218)))
% 1.03/1.26  (step @p465 :rule cnf_or_pos :args (@t257))
% 1.03/1.26  (step @p466 :rule reordering :premises (@p465) :args ((or @t223 @t224 @t258)))
% 1.03/1.26  (step @p467 :rule chain_m_resolution :premises (@p466 @p464 @p461) :args (@t258 @t256 (@list @t213 @t224)))
% 1.03/1.26  (assume-push @p534 @t259)
% 1.03/1.26  (step @p469 :rule instantiate :premises (@p46) :args ((@list @t147 @t116)))
% 1.03/1.26  (step-pop @p535 :rule scope :premises (@p469))
% 1.03/1.26  (step @p470 :rule process_scope :premises (@p535) :args (@t257))
% 1.03/1.26  (step @p472 :rule implies_elim :premises (@p470))
% 1.03/1.26  (step @p473 false :rule chain_m_resolution :premises (@p472 @p467 @p46) :args (false @t250 (@list @t257 @t259)))
% 1.03/1.26  )
% 1.03/1.26  % SZS output end Proof
% 1.03/1.26  % cvc5 exiting
%------------------------------------------------------------------------------