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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : COM130+1 : TPTP v9.2.1. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n022.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 08:10:33 AM UTC 2026

% Result   : Theorem 0.36s 0.65s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : COM130+1 : TPTP v9.2.1. Released v6.4.0.
% 0.11/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.35  % Computer : n022.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 : Mon Jun  1 20:30:23 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.25/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.36/0.65  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.36/0.65  % SZS status Theorem
% 0.36/0.65  % SZS output start Proof
% 0.36/0.65  (
% 0.36/0.65  (declare-sort $$unsorted 0)
% 0.36/0.65  (declare-const tptp.veabs $$unsorted)
% 0.36/0.65  (declare-const tptp.varrow (-> $$unsorted $$unsorted $$unsorted))
% 0.36/0.65  (declare-const tptp.vgetSomeExp (-> $$unsorted $$unsorted))
% 0.36/0.65  (declare-const tptp.vsomeExp (-> $$unsorted $$unsorted))
% 0.36/0.65  (declare-const tptp.vnoExp $$unsorted)
% 0.36/0.65  (declare-const tptp.vsubst (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.36/0.65  (declare-const tptp.vgensym (-> $$unsorted $$unsorted))
% 0.36/0.65  (declare-const tptp.vapp (-> $$unsorted $$unsorted $$unsorted))
% 0.36/0.65  (declare-const tptp.visValue (-> $$unsorted Bool))
% 0.36/0.65  (declare-const tptp.vempty $$unsorted)
% 0.36/0.65  (declare-const tptp.vbind (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.36/0.65  (declare-const tptp.vnoType $$unsorted)
% 0.36/0.65  (declare-const tptp.visFreeVar (-> $$unsorted $$unsorted Bool))
% 0.36/0.65  (declare-const tptp.vtcheck (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.36/0.65  (declare-const tptp.vsomeType (-> $$unsorted $$unsorted))
% 0.36/0.65  (declare-const tptp.visSomeExp (-> $$unsorted Bool))
% 0.36/0.65  (declare-const tptp.vvar (-> $$unsorted $$unsorted))
% 0.36/0.65  (declare-const tptp.vlookup (-> $$unsorted $$unsorted $$unsorted))
% 0.36/0.65  (declare-const tptp.vabs (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.36/0.65  (declare-const tptp.visSomeType (-> $$unsorted Bool))
% 0.36/0.65  (declare-const tptp.vreduce (-> $$unsorted $$unsorted))
% 0.36/0.65  (declare-const tptp.vgetSomeType (-> $$unsorted $$unsorted))
% 0.36/0.65  (define @t1 () (@var "VVar1" $$unsorted))
% 0.36/0.65  (define @t2 () (@var "VVar0" $$unsorted))
% 0.36/0.65  (define @t3 () (tptp.vvar @t2))
% 0.36/0.65  (define @t4 () (= @t3 (tptp.vvar @t1)))
% 0.36/0.65  (define @t5 () (= @t2 @t1))
% 0.36/0.65  (define @t6 () (@var "VExp1" $$unsorted))
% 0.36/0.65  (define @t7 () (@var "VTyp1" $$unsorted))
% 0.36/0.65  (define @t8 () (@var "VExp0" $$unsorted))
% 0.36/0.65  (define @t9 () (@var "VTyp0" $$unsorted))
% 0.36/0.65  (define @t10 () (tptp.vabs @t2 @t9 @t8))
% 0.36/0.65  (define @t11 () (= @t10 (tptp.vabs @t1 @t7 @t6)))
% 0.36/0.65  (define @t12 () (= @t8 @t6))
% 0.36/0.65  (define @t13 () (= @t9 @t7))
% 0.36/0.65  (define @t14 () (and @t5 @t13 @t12))
% 0.36/0.65  (define @t15 () (@var "VExp3" $$unsorted))
% 0.36/0.65  (define @t16 () (@var "VExp2" $$unsorted))
% 0.36/0.65  (define @t17 () (tptp.vapp @t8 @t6))
% 0.36/0.65  (define @t18 () (= @t17 (tptp.vapp @t16 @t15)))
% 0.36/0.65  (define @t19 () (and (= @t8 @t16) (= @t6 @t15)))
% 0.36/0.65  (define @t20 () (tptp.visValue @t8))
% 0.36/0.65  (define @t21 () (@var "Ve" $$unsorted))
% 0.36/0.65  (define @t22 () (@var "VS" $$unsorted))
% 0.36/0.65  (define @t23 () (@var "Vx" $$unsorted))
% 0.36/0.65  (define @t24 () (tptp.vabs @t23 @t22 @t21))
% 0.36/0.65  (define @t25 () (= @t8 @t24))
% 0.36/0.65  (define @t26 () (not @t20))
% 0.36/0.65  (define @t27 () (tptp.vvar @t23))
% 0.36/0.65  (define @t28 () (= @t8 @t27))
% 0.36/0.65  (define @t29 () (@var "Ve2" $$unsorted))
% 0.36/0.65  (define @t30 () (@var "Ve1" $$unsorted))
% 0.36/0.65  (define @t31 () (tptp.vapp @t30 @t29))
% 0.36/0.65  (define @t32 () (= @t8 @t31))
% 0.36/0.65  (define @t33 () (@var "Vv" $$unsorted))
% 0.36/0.65  (define @t34 () (= @t23 @t33))
% 0.36/0.65  (define @t35 () (tptp.visFreeVar @t2 @t8))
% 0.36/0.65  (define @t36 () (= @t2 @t33))
% 0.36/0.65  (define @t37 () (tptp.visFreeVar @t33 @t21))
% 0.36/0.65  (define @t38 () (not @t34))
% 0.36/0.65  (define @t39 () (and @t38 @t37))
% 0.36/0.65  (define @t40 () (and (=> @t39 @t35) (=> @t35 @t39)))
% 0.36/0.65  (define @t41 () (@var "VT" $$unsorted))
% 0.36/0.65  (define @t42 () (tptp.vabs @t23 @t41 @t21))
% 0.36/0.65  (define @t43 () (= @t8 @t42))
% 0.36/0.65  (define @t44 () (and @t36 @t43))
% 0.36/0.65  (define @t45 () (@list @t41 @t2 @t8 @t23 @t33 @t21))
% 0.36/0.65  (define @t46 () (forall @t45 (=> @t44 @t40)))
% 0.36/0.65  (define @t47 () (or (tptp.visFreeVar @t33 @t30) (tptp.visFreeVar @t33 @t29)))
% 0.36/0.65  (define @t48 () (= tptp.vempty tptp.vempty))
% 0.36/0.65  (define @t49 () (@var "VCtx1" $$unsorted))
% 0.36/0.65  (define @t50 () (@var "VCtx0" $$unsorted))
% 0.36/0.65  (define @t51 () (tptp.vbind @t2 @t9 @t50))
% 0.36/0.65  (define @t52 () (= @t51 (tptp.vbind @t1 @t7 @t49)))
% 0.36/0.65  (define @t53 () (and @t5 @t13 (= @t50 @t49)))
% 0.36/0.65  (define @t54 () (= tptp.vnoType tptp.vnoType))
% 0.36/0.65  (define @t55 () (tptp.vsomeType @t9))
% 0.36/0.65  (define @t56 () (= @t55 (tptp.vsomeType @t7)))
% 0.36/0.65  (define @t57 () (@var "VOptTyp0" $$unsorted))
% 0.36/0.65  (define @t58 () (tptp.visSomeType @t57))
% 0.36/0.65  (define @t59 () (= @t57 (tptp.vsomeType @t21)))
% 0.36/0.65  (define @t60 () (@var "RESULT" $$unsorted))
% 0.36/0.65  (define @t61 () (= @t60 @t21))
% 0.36/0.65  (define @t62 () (= @t60 tptp.vnoType))
% 0.36/0.65  (define @t63 () (tptp.vlookup @t2 @t50))
% 0.36/0.65  (define @t64 () (= @t60 @t63))
% 0.36/0.65  (define @t65 () (= @t50 tptp.vempty))
% 0.36/0.65  (define @t66 () (= @t2 @t23))
% 0.36/0.65  (define @t67 () (@var "VTy" $$unsorted))
% 0.36/0.65  (define @t68 () (= @t60 (tptp.vsomeType @t67)))
% 0.36/0.65  (define @t69 () (@var "Vy" $$unsorted))
% 0.36/0.65  (define @t70 () (= @t23 @t69))
% 0.36/0.65  (define @t71 () (@var "VC" $$unsorted))
% 0.36/0.65  (define @t72 () (tptp.vbind @t69 @t67 @t71))
% 0.36/0.65  (define @t73 () (= @t50 @t72))
% 0.36/0.65  (define @t74 () (and @t66 @t73))
% 0.36/0.65  (define @t75 () (tptp.vlookup @t23 @t71))
% 0.36/0.65  (define @t76 () (= @t60 @t75))
% 0.36/0.65  (define @t77 () (not @t70))
% 0.36/0.65  (define @t78 () (@list @t23))
% 0.36/0.65  (define @t79 () (@var "VTx" $$unsorted))
% 0.36/0.65  (define @t80 () (tptp.vbind @t23 @t79 @t71))
% 0.36/0.65  (define @t81 () (tptp.vtcheck (tptp.vbind @t23 @t79 @t72) @t21 @t41))
% 0.36/0.65  (define @t82 () (@list @t69 @t67 @t23 @t79 @t71 @t21 @t41))
% 0.36/0.65  (define @t83 () (not @t37))
% 0.36/0.65  (define @t84 () (tptp.vsubst @t2 @t8 @t6))
% 0.36/0.65  (define @t85 () (= @t60 @t84))
% 0.36/0.65  (define @t86 () (tptp.vvar @t69))
% 0.36/0.65  (define @t87 () (= @t6 @t86))
% 0.36/0.65  (define @t88 () (= @t8 @t21))
% 0.36/0.65  (define @t89 () (and @t66 @t88 @t87))
% 0.36/0.65  (define @t90 () (= @t60 @t86))
% 0.36/0.65  (define @t91 () (tptp.vsubst @t23 @t21 @t30))
% 0.36/0.65  (define @t92 () (= @t60 (tptp.vapp @t91 (tptp.vsubst @t23 @t21 @t29))))
% 0.36/0.65  (define @t93 () (= @t6 @t31))
% 0.36/0.65  (define @t94 () (tptp.vabs @t69 @t41 @t30))
% 0.36/0.65  (define @t95 () (= @t60 @t94))
% 0.36/0.65  (define @t96 () (=> @t85 @t95))
% 0.36/0.65  (define @t97 () (=> @t70 @t96))
% 0.36/0.65  (define @t98 () (= @t6 @t94))
% 0.36/0.65  (define @t99 () (and @t66 @t88 @t98))
% 0.36/0.65  (define @t100 () (@list @t21 @t23 @t2 @t8 @t6 @t60 @t69 @t41 @t30))
% 0.36/0.65  (define @t101 () (forall @t100 (=> @t99 @t97)))
% 0.36/0.65  (define @t102 () (@var "Vfresh" $$unsorted))
% 0.36/0.65  (define @t103 () (= @t60 (tptp.vsubst @t23 @t21 (tptp.vabs @t102 @t41 (tptp.vsubst @t69 (tptp.vvar @t102) @t30)))))
% 0.36/0.65  (define @t104 () (= @t102 (tptp.vgensym (tptp.vapp (tptp.vapp @t21 @t30) @t27))))
% 0.36/0.65  (define @t105 () (tptp.visFreeVar @t69 @t21))
% 0.36/0.65  (define @t106 () (= @t60 (tptp.vabs @t69 @t41 @t91)))
% 0.36/0.65  (define @t107 () (not @t105))
% 0.36/0.65  (define @t108 () (= tptp.vnoExp tptp.vnoExp))
% 0.36/0.65  (define @t109 () (tptp.vsomeExp @t8))
% 0.36/0.65  (define @t110 () (= @t109 (tptp.vsomeExp @t6)))
% 0.36/0.65  (define @t111 () (@list @t8))
% 0.36/0.65  (define @t112 () (@var "VOptExp0" $$unsorted))
% 0.36/0.65  (define @t113 () (tptp.visSomeExp @t112))
% 0.36/0.65  (define @t114 () (= @t112 (tptp.vsomeExp @t21)))
% 0.36/0.65  (define @t115 () (= @t60 tptp.vnoExp))
% 0.36/0.65  (define @t116 () (tptp.vreduce @t8))
% 0.36/0.65  (define @t117 () (= @t60 @t116))
% 0.36/0.65  (define @t118 () (=> @t117 @t115))
% 0.36/0.65  (define @t119 () (@var "Ve2red" $$unsorted))
% 0.36/0.65  (define @t120 () (tptp.vabs @t23 @t22 @t30))
% 0.36/0.65  (define @t121 () (= @t60 (tptp.vsomeExp (tptp.vapp @t120 (tptp.vgetSomeExp @t119)))))
% 0.36/0.65  (define @t122 () (tptp.visSomeExp @t119))
% 0.36/0.65  (define @t123 () (= @t119 (tptp.vreduce @t29)))
% 0.36/0.65  (define @t124 () (= @t8 (tptp.vapp @t120 @t29)))
% 0.36/0.65  (define @t125 () (= @t60 (tptp.vsomeExp (tptp.vsubst @t23 @t29 @t30))))
% 0.36/0.65  (define @t126 () (tptp.visValue @t29))
% 0.36/0.65  (define @t127 () (not @t122))
% 0.36/0.65  (define @t128 () (not @t126))
% 0.36/0.65  (define @t129 () (@var "Ve1red" $$unsorted))
% 0.36/0.65  (define @t130 () (= @t60 (tptp.vsomeExp (tptp.vapp (tptp.vgetSomeExp @t129) @t29))))
% 0.36/0.65  (define @t131 () (tptp.visSomeExp @t129))
% 0.36/0.65  (define @t132 () (= @t129 (tptp.vreduce @t30)))
% 0.36/0.65  (define @t133 () (@var "VVe10" $$unsorted))
% 0.36/0.65  (define @t134 () (@var "VVS0" $$unsorted))
% 0.36/0.65  (define @t135 () (@var "VVx0" $$unsorted))
% 0.36/0.65  (define @t136 () (forall (@list @t135 @t134 @t133) (not (= @t30 (tptp.vabs @t135 @t134 @t133)))))
% 0.36/0.65  (define @t137 () (and @t32 @t136))
% 0.36/0.65  (define @t138 () (not @t131))
% 0.36/0.65  (define @t139 () (@var "VTyp3" $$unsorted))
% 0.36/0.65  (define @t140 () (@var "VTyp2" $$unsorted))
% 0.36/0.65  (define @t141 () (= (tptp.varrow @t9 @t7) (tptp.varrow @t140 @t139)))
% 0.36/0.65  (define @t142 () (and (= @t9 @t140) (= @t7 @t139)))
% 0.36/0.65  (define @t143 () (= @t75 (tptp.vsomeType @t41)))
% 0.36/0.65  (define @t144 () (tptp.varrow @t22 @t41))
% 0.36/0.65  (define @t145 () (tptp.vtcheck (tptp.vbind @t23 @t22 @t71) @t21 @t41))
% 0.36/0.65  (define @t146 () (tptp.vtcheck @t71 @t29 @t22))
% 0.36/0.65  (define @t147 () (tptp.vtcheck @t71 @t30 @t144))
% 0.36/0.65  (define @t148 () (@var "VT2" $$unsorted))
% 0.36/0.65  (define @t149 () (@var "VT1" $$unsorted))
% 0.36/0.65  (define @t150 () (tptp.vtcheck @t71 @t21 @t41))
% 0.36/0.65  (define @t151 () (@list @t23 @t22 @t71 @t21 @t41))
% 0.36/0.65  (define @t152 () (tptp.visFreeVar @t23 @t21))
% 0.36/0.65  (define @t153 () (not @t152))
% 0.36/0.65  (define @t154 () (and @t153 @t145))
% 0.36/0.65  (define @t155 () (forall @t151 (=> @t154 @t150)))
% 0.36/0.65  (define @t156 () (tptp.vbind @t23 @t41 @t71))
% 0.36/0.65  (define @t157 () (tptp.vabs @t69 @t22 @t30))
% 0.36/0.65  (define @t158 () (tptp.vtcheck @t71 (tptp.vsubst @t23 @t21 @t157) @t148))
% 0.36/0.65  (define @t159 () (tptp.vtcheck @t156 @t157 @t148))
% 0.36/0.65  (define @t160 () (and @t70 @t150 @t159))
% 0.36/0.65  (define @t161 () (@list @t41 @t71 @t23 @t21 @t69 @t22 @t30 @t148))
% 0.36/0.65  (define @t162 () (forall @t161 (=> @t160 @t158)))
% 0.36/0.65  (define @t163 () (not @t162))
% 0.36/0.65  (define @t164 () (tptp.vtcheck @t71 (tptp.vsubst @t69 @t21 @t157) @t148))
% 0.36/0.65  (define @t165 () (not (tptp.vtcheck (tptp.vbind @t69 @t41 @t71) @t157 @t148)))
% 0.36/0.65  (define @t166 () (not @t150))
% 0.36/0.65  (define @t167 () (or @t166 @t165 @t164))
% 0.36/0.65  (define @t168 () (not (= @t69 @t69)))
% 0.36/0.65  (define @t169 () (or @t168 @t166 @t165 @t164))
% 0.36/0.65  (define @t170 () (@list @t41 @t71 @t21 @t69 @t22 @t30 @t148))
% 0.36/0.65  (define @t171 () (not @t159))
% 0.36/0.65  (define @t172 () (or @t77 @t77 @t166 @t171 @t158))
% 0.36/0.65  (define @t173 () (or @t77 @t166 @t171 @t158))
% 0.36/0.65  (define @t174 () (forall @t78 @t173))
% 0.36/0.65  (define @t175 () (forall @t170 @t174))
% 0.36/0.65  (define @t176 () (forall (@list @t41 @t71 @t21 @t69 @t22 @t30 @t148 @t23) @t173))
% 0.36/0.65  (define @t177 () (or @t77 @t166 @t171))
% 0.36/0.65  (define @t178 () (forall @t170 @t167))
% 0.36/0.65  (define @t179 () (@quantifiers_skolemize @t178 6))
% 0.36/0.65  (define @t180 () (@quantifiers_skolemize @t178 5))
% 0.36/0.65  (define @t181 () (@quantifiers_skolemize @t178 4))
% 0.36/0.65  (define @t182 () (@quantifiers_skolemize @t178 3))
% 0.36/0.65  (define @t183 () (tptp.vabs @t182 @t181 @t180))
% 0.36/0.65  (define @t184 () (@quantifiers_skolemize @t178 2))
% 0.36/0.65  (define @t185 () (tptp.vsubst @t182 @t184 @t183))
% 0.36/0.65  (define @t186 () (@quantifiers_skolemize @t178 1))
% 0.36/0.65  (define @t187 () (tptp.vtcheck @t186 @t185 @t179))
% 0.36/0.65  (define @t188 () (@quantifiers_skolemize @t178 0))
% 0.36/0.65  (define @t189 () (tptp.vtcheck (tptp.vbind @t182 @t188 @t186) @t183 @t179))
% 0.36/0.65  (define @t190 () (not @t189))
% 0.36/0.65  (define @t191 () (or (not (tptp.vtcheck @t186 @t184 @t188)) @t190 @t187))
% 0.36/0.65  (define @t192 () (not @t187))
% 0.36/0.65  (define @t193 () (@list true))
% 0.36/0.65  (define @t194 () (@list @t191))
% 0.36/0.65  (define @t195 () (tptp.vsubst @t69 @t21 @t94))
% 0.36/0.65  (define @t196 () (= @t94 @t195))
% 0.36/0.65  (define @t197 () (not (= @t195 @t195)))
% 0.36/0.65  (define @t198 () (or @t197 (= @t195 @t94)))
% 0.36/0.65  (define @t199 () (@list @t21 @t69 @t41 @t30))
% 0.36/0.65  (define @t200 () (not (= @t60 @t195)))
% 0.36/0.65  (define @t201 () (or @t200 @t200 @t95))
% 0.36/0.65  (define @t202 () (@list @t60))
% 0.36/0.65  (define @t203 () (or @t200 @t95))
% 0.36/0.65  (define @t204 () (forall @t202 @t203))
% 0.36/0.65  (define @t205 () (forall @t199 @t204))
% 0.36/0.65  (define @t206 () (forall (@list @t21 @t69 @t41 @t30 @t60) @t203))
% 0.36/0.65  (define @t207 () (@list @t21 @t60 @t69 @t41 @t30))
% 0.36/0.65  (define @t208 () (or @t168 @t200 @t95))
% 0.36/0.65  (define @t209 () (not (= @t60 (tptp.vsubst @t23 @t21 @t94))))
% 0.36/0.65  (define @t210 () (or @t77 @t77 @t209 @t95))
% 0.36/0.65  (define @t211 () (or @t77 @t209 @t95))
% 0.36/0.65  (define @t212 () (forall @t78 @t211))
% 0.36/0.65  (define @t213 () (forall @t207 @t212))
% 0.36/0.65  (define @t214 () (forall (@list @t21 @t60 @t69 @t41 @t30 @t23) @t211))
% 0.36/0.65  (define @t215 () (@list @t21 @t23 @t60 @t69 @t41 @t30))
% 0.36/0.65  (define @t216 () (not (= @t94 @t94)))
% 0.36/0.65  (define @t217 () (or @t216 @t77 @t209 @t95))
% 0.36/0.65  (define @t218 () (not (= @t60 (tptp.vsubst @t23 @t21 @t6))))
% 0.36/0.65  (define @t219 () (not @t98))
% 0.36/0.65  (define @t220 () (or @t219 @t219 @t77 @t218 @t95))
% 0.36/0.65  (define @t221 () (@list @t6))
% 0.36/0.65  (define @t222 () (or @t219 @t77 @t218 @t95))
% 0.36/0.65  (define @t223 () (forall @t221 @t222))
% 0.36/0.65  (define @t224 () (forall @t215 @t223))
% 0.36/0.65  (define @t225 () (forall (@list @t21 @t23 @t60 @t69 @t41 @t30 @t6) @t222))
% 0.36/0.65  (define @t226 () (@list @t21 @t23 @t6 @t60 @t69 @t41 @t30))
% 0.36/0.65  (define @t227 () (not (= @t21 @t21)))
% 0.36/0.65  (define @t228 () (or @t227 @t219 @t77 @t218 @t95))
% 0.36/0.65  (define @t229 () (not (= @t60 (tptp.vsubst @t23 @t8 @t6))))
% 0.36/0.65  (define @t230 () (not @t88))
% 0.36/0.65  (define @t231 () (or @t230 @t230 @t219 @t77 @t229 @t95))
% 0.36/0.65  (define @t232 () (or @t230 @t219 @t77 @t229 @t95))
% 0.36/0.65  (define @t233 () (forall @t111 @t232))
% 0.36/0.65  (define @t234 () (forall @t226 @t233))
% 0.36/0.65  (define @t235 () (forall (@list @t21 @t23 @t6 @t60 @t69 @t41 @t30 @t8) @t232))
% 0.36/0.65  (define @t236 () (@list @t21 @t23 @t8 @t6 @t60 @t69 @t41 @t30))
% 0.36/0.65  (define @t237 () (not (= @t23 @t23)))
% 0.36/0.65  (define @t238 () (or @t237 @t230 @t219 @t77 @t229 @t95))
% 0.36/0.65  (define @t239 () (not @t85))
% 0.36/0.65  (define @t240 () (not @t66))
% 0.36/0.65  (define @t241 () (or @t240 @t240 @t230 @t219 @t77 @t239 @t95))
% 0.36/0.65  (define @t242 () (@list @t2))
% 0.36/0.65  (define @t243 () (or @t240 @t230 @t219 @t77 @t239 @t95))
% 0.36/0.65  (define @t244 () (forall @t242 @t243))
% 0.36/0.65  (define @t245 () (forall @t236 @t244))
% 0.36/0.65  (define @t246 () (forall (@list @t21 @t23 @t8 @t6 @t60 @t69 @t41 @t30 @t2) @t243))
% 0.36/0.65  (define @t247 () (or @t77 @t239 @t95))
% 0.36/0.65  (define @t248 () (or @t240 @t230 @t219))
% 0.36/0.65  (define @t249 () (not @t145))
% 0.36/0.65  (define @t250 () (@var "BOUND_VARIABLE_8359" $$unsorted))
% 0.36/0.65  (define @t251 () (@var "BOUND_VARIABLE_8353" $$unsorted))
% 0.36/0.65  (define @t252 () (@var "BOUND_VARIABLE_8355" $$unsorted))
% 0.36/0.65  (define @t253 () (@var "BOUND_VARIABLE_8357" $$unsorted))
% 0.36/0.65  (define @t254 () (forall (@list @t251 @t252 @t253 @t250) (or (tptp.visFreeVar @t253 @t250) (not (tptp.visFreeVar @t253 (tptp.vabs @t252 @t251 @t250))))))
% 0.36/0.65  (define @t255 () (@var "BOUND_VARIABLE_8343" $$unsorted))
% 0.36/0.65  (define @t256 () (@var "BOUND_VARIABLE_8337" $$unsorted))
% 0.36/0.65  (define @t257 () (@var "BOUND_VARIABLE_8341" $$unsorted))
% 0.36/0.65  (define @t258 () (not (tptp.visFreeVar @t257 (tptp.vabs @t257 @t256 @t255))))
% 0.36/0.65  (define @t259 () (@list @t256 @t257 @t255))
% 0.36/0.65  (define @t260 () (forall @t259 @t258))
% 0.36/0.65  (define @t261 () (@var "BOUND_VARIABLE_8302" $$unsorted))
% 0.36/0.65  (define @t262 () (@var "BOUND_VARIABLE_8296" $$unsorted))
% 0.36/0.65  (define @t263 () (@var "BOUND_VARIABLE_8298" $$unsorted))
% 0.36/0.65  (define @t264 () (@var "BOUND_VARIABLE_8300" $$unsorted))
% 0.36/0.65  (define @t265 () (forall (@list @t262 @t263 @t264 @t261) (or (= @t263 @t264) (not (tptp.visFreeVar @t264 @t261)) (tptp.visFreeVar @t264 (tptp.vabs @t263 @t262 @t261)))))
% 0.36/0.65  (define @t266 () (not (= @t257 @t257)))
% 0.36/0.65  (define @t267 () (or @t266 @t258))
% 0.36/0.65  (define @t268 () (@var "BOUND_VARIABLE_8339" $$unsorted))
% 0.36/0.65  (define @t269 () (not (tptp.visFreeVar @t257 (tptp.vabs @t268 @t256 @t255))))
% 0.36/0.65  (define @t270 () (not (= @t268 @t257)))
% 0.36/0.65  (define @t271 () (or @t270 @t270 @t269))
% 0.36/0.65  (define @t272 () (@list @t268))
% 0.36/0.65  (define @t273 () (or @t270 @t269))
% 0.36/0.65  (define @t274 () (forall @t272 @t273))
% 0.36/0.65  (define @t275 () (forall @t259 @t274))
% 0.36/0.65  (define @t276 () (forall (@list @t256 @t257 @t255 @t268) @t273))
% 0.36/0.65  (define @t277 () (forall (@list @t256 @t268 @t257 @t255) @t273))
% 0.36/0.65  (define @t278 () (@var "BOUND_VARIABLE_8318" $$unsorted))
% 0.36/0.65  (define @t279 () (@var "BOUND_VARIABLE_8312" $$unsorted))
% 0.36/0.65  (define @t280 () (@var "BOUND_VARIABLE_8314" $$unsorted))
% 0.36/0.65  (define @t281 () (@var "BOUND_VARIABLE_8316" $$unsorted))
% 0.36/0.65  (define @t282 () (not (tptp.visFreeVar @t281 (tptp.vabs @t280 @t279 @t278))))
% 0.36/0.65  (define @t283 () (tptp.visFreeVar @t281 @t278))
% 0.36/0.65  (define @t284 () (or @t283 @t282))
% 0.36/0.65  (define @t285 () (@list @t279 @t280 @t281 @t278))
% 0.36/0.65  (define @t286 () (forall @t285 @t284))
% 0.36/0.65  (define @t287 () (@list @t279 @t280 @t281 @t278))
% 0.36/0.65  (define @t288 () (not (= @t280 @t281)))
% 0.36/0.65  (define @t289 () (or @t288 @t282))
% 0.36/0.65  (define @t290 () (forall @t285 @t289))
% 0.36/0.65  (define @t291 () (and @t290 @t286))
% 0.36/0.65  (define @t292 () (and @t288 @t283))
% 0.36/0.65  (define @t293 () (or @t292 @t282))
% 0.36/0.65  (define @t294 () (or @t282 @t292))
% 0.36/0.65  (define @t295 () (forall @t285 @t294))
% 0.36/0.65  (define @t296 () (tptp.visFreeVar @t33 @t42))
% 0.36/0.65  (define @t297 () (or (not @t296) @t39))
% 0.36/0.65  (define @t298 () (@list @t41 @t23 @t33 @t21))
% 0.36/0.65  (define @t299 () (forall @t298 @t297))
% 0.36/0.65  (define @t300 () (@list @t41 @t23 @t33 @t21))
% 0.36/0.65  (define @t301 () (or @t34 @t83 @t296))
% 0.36/0.65  (define @t302 () (forall @t298 @t301))
% 0.36/0.65  (define @t303 () (and @t302 @t299))
% 0.36/0.65  (define @t304 () (and @t301 @t297))
% 0.36/0.65  (define @t305 () (not (= @t42 @t42)))
% 0.36/0.65  (define @t306 () (or @t305 @t304))
% 0.36/0.65  (define @t307 () (tptp.visFreeVar @t33 @t8))
% 0.36/0.65  (define @t308 () (and (or @t34 @t83 @t307) (or (not @t307) @t39)))
% 0.36/0.65  (define @t309 () (not @t43))
% 0.36/0.65  (define @t310 () (or @t309 @t309 @t308))
% 0.36/0.65  (define @t311 () (or @t309 @t308))
% 0.36/0.65  (define @t312 () (forall @t111 @t311))
% 0.36/0.65  (define @t313 () (forall @t298 @t312))
% 0.36/0.65  (define @t314 () (forall (@list @t41 @t23 @t33 @t21 @t8) @t311))
% 0.36/0.65  (define @t315 () (@list @t41 @t8 @t23 @t33 @t21))
% 0.36/0.65  (define @t316 () (not (= @t33 @t33)))
% 0.36/0.65  (define @t317 () (or @t316 @t309 @t308))
% 0.36/0.65  (define @t318 () (or @t34 @t83 @t35))
% 0.36/0.65  (define @t319 () (and @t318 (or (not @t35) @t39)))
% 0.36/0.65  (define @t320 () (not @t36))
% 0.36/0.65  (define @t321 () (or @t320 @t320 @t309 @t319))
% 0.36/0.65  (define @t322 () (or @t320 @t309 @t319))
% 0.36/0.65  (define @t323 () (forall @t242 @t322))
% 0.36/0.65  (define @t324 () (forall @t315 @t323))
% 0.36/0.65  (define @t325 () (forall (@list @t41 @t8 @t23 @t33 @t21 @t2) @t322))
% 0.36/0.65  (define @t326 () (tptp.vtcheck @t186 @t183 @t179))
% 0.36/0.65  (define @t327 () (tptp.visFreeVar @t182 @t183))
% 0.36/0.65  (define @t328 () (or @t327 @t190 @t326))
% 0.36/0.65  (define @t329 () (not @t326))
% 0.36/0.65  (define @t330 () (= @t183 @t185))
% 0.36/0.65  (define @t331 () (not @t330))
% 0.36/0.65  (define @t332 () (and @t192 @t330))
% 0.36/0.65  (assume @p1 (forall (@list @t2 @t1) (and (=> @t4 @t5) (=> @t5 @t4))))
% 0.36/0.65  (assume @p2 (forall (@list @t2 @t9 @t8 @t1 @t7 @t6) (and (=> @t11 @t14) (=> @t14 @t11))))
% 0.36/0.65  (assume @p3 (forall (@list @t8 @t6 @t16 @t15) (and (=> @t18 @t19) (=> @t19 @t18))))
% 0.36/0.65  (assume @p4 (forall (@list @t2 @t1 @t9 @t8) (not (= @t3 (tptp.vabs @t1 @t9 @t8)))))
% 0.36/0.65  (assume @p5 (forall (@list @t2 @t8 @t6) (not (= @t3 @t17))))
% 0.36/0.65  (assume @p6 (forall (@list @t2 @t9 @t8 @t6 @t16) (not (= @t10 (tptp.vapp @t6 @t16)))))
% 0.36/0.65  (assume @p7 (forall (@list @t23 @t22 @t21 @t8) (=> @t25 @t20)))
% 0.36/0.65  (assume @p8 (forall (@list @t23 @t8) (=> @t28 @t26)))
% 0.36/0.65  (assume @p9 (forall (@list @t30 @t29 @t8) (=> @t32 @t26)))
% 0.36/0.65  (assume @p10 (forall (@list @t2 @t8 @t23 @t33) (=> (and @t36 @t28) (and (=> @t34 @t35) (=> @t35 @t34)))))
% 0.36/0.65  (assume @p11 @t46)
% 0.36/0.65  (assume @p12 (forall (@list @t2 @t8 @t30 @t33 @t29) (=> (and @t36 @t32) (and (=> @t47 @t35) (=> @t35 @t47)))))
% 0.36/0.65  (assume @p13 (and (=> @t48 true) (=> true @t48)))
% 0.36/0.65  (assume @p14 (forall (@list @t2 @t9 @t50 @t1 @t7 @t49) (and (=> @t52 @t53) (=> @t53 @t52))))
% 0.36/0.65  (assume @p15 (and (=> @t54 true) (=> true @t54)))
% 0.36/0.65  (assume @p16 (forall (@list @t9 @t7) (and (=> @t56 @t13) (=> @t13 @t56))))
% 0.36/0.65  (assume @p17 (forall (@list @t2 @t9 @t50) (not (= tptp.vempty @t51))))
% 0.36/0.65  (assume @p18 (forall (@list @t9) (not (= tptp.vnoType @t55))))
% 0.36/0.65  (assume @p19 (forall (@list @t57) (=> (= @t57 tptp.vnoType) (not @t58))))
% 0.36/0.65  (assume @p20 (forall (@list @t21 @t57) (=> @t59 @t58)))
% 0.36/0.65  (assume @p21 (forall (@list @t57 @t60 @t21) (=> @t59 (=> (= @t60 (tptp.vgetSomeType @t57)) @t61))))
% 0.36/0.65  (assume @p22 (forall (@list @t23 @t2 @t50 @t60) (=> (and @t66 @t65) (=> @t64 @t62))))
% 0.36/0.65  (assume @p23 (forall (@list @t71 @t23 @t69 @t2 @t50 @t60 @t67) (=> @t74 (=> @t70 (=> @t64 @t68)))))
% 0.36/0.65  (assume @p24 (forall (@list @t67 @t69 @t2 @t50 @t60 @t23 @t71) (=> @t74 (=> @t77 (=> @t64 @t76)))))
% 0.36/0.65  (assume @p25 (forall (@list @t2 @t50 @t60) (=> (= @t63 @t60) (or (exists @t78 (and @t66 @t65 @t62)) (exists (@list @t71 @t23 @t69 @t67) (and @t66 @t73 @t70 @t68)) (exists (@list @t67 @t69 @t23 @t71) (and @t66 @t73 @t77 @t76))))))
% 0.36/0.65  (assume @p26 (forall @t82 (=> (and @t70 @t81) (tptp.vtcheck @t80 @t21 @t41))))
% 0.36/0.65  (assume @p27 (forall @t82 (=> (and @t77 @t81) (tptp.vtcheck (tptp.vbind @t69 @t67 @t80) @t21 @t41))))
% 0.36/0.65  (assume @p28 (forall (@list @t33 @t21) (=> (= (tptp.vgensym @t21) @t33) @t83)))
% 0.36/0.65  (assume @p29 (forall (@list @t23 @t69 @t2 @t8 @t6 @t60 @t21) (=> @t89 (=> @t70 (=> @t85 @t61)))))
% 0.36/0.65  (assume @p30 (forall (@list @t21 @t23 @t2 @t8 @t6 @t60 @t69) (=> @t89 (=> @t77 (=> @t85 @t90)))))
% 0.36/0.65  (assume @p31 (forall (@list @t2 @t8 @t6 @t60 @t30 @t23 @t21 @t29) (=> (and @t66 @t88 @t93) (=> @t85 @t92))))
% 0.36/0.65  (assume @p32 @t101)
% 0.36/0.65  (assume @p33 (forall (@list @t2 @t8 @t6 @t60 @t23 @t21 @t41 @t69 @t102 @t30) (=> @t99 (=> (and @t77 @t105 @t104) (=> @t85 @t103)))))
% 0.36/0.65  (assume @p34 (forall (@list @t2 @t8 @t6 @t60 @t69 @t41 @t23 @t21 @t30) (=> @t99 (=> (and @t77 @t107) (=> @t85 @t106)))))
% 0.36/0.65  (assume @p35 (forall (@list @t2 @t8 @t6 @t60) (=> (= @t84 @t60) (or (exists (@list @t23 @t69 @t21) (and @t66 @t88 @t87 @t70 @t61)) (exists (@list @t21 @t23 @t69) (and @t66 @t88 @t87 @t77 @t90)) (exists (@list @t30 @t23 @t21 @t29) (and @t66 @t88 @t93 @t92)) (exists (@list @t21 @t23 @t69 @t41 @t30) (and @t66 @t88 @t98 @t70 @t95)) (exists (@list @t23 @t21 @t41 @t69 @t102 @t30) (and @t66 @t88 @t98 @t77 @t105 @t104 @t103)) (exists (@list @t69 @t41 @t23 @t21 @t30) (and @t66 @t88 @t98 @t77 @t107 @t106))))))
% 0.36/0.65  (assume @p36 (and (=> @t108 true) (=> true @t108)))
% 0.36/0.65  (assume @p37 (forall (@list @t8 @t6) (and (=> @t110 @t12) (=> @t12 @t110))))
% 0.36/0.65  (assume @p38 (forall @t111 (not (= tptp.vnoExp @t109))))
% 0.36/0.65  (assume @p39 (forall (@list @t112) (=> (= @t112 tptp.vnoExp) (not @t113))))
% 0.36/0.65  (assume @p40 (forall (@list @t21 @t112) (=> @t114 @t113)))
% 0.36/0.65  (assume @p41 (forall (@list @t112 @t60 @t21) (=> @t114 (=> (= @t60 (tptp.vgetSomeExp @t112)) @t61))))
% 0.36/0.65  (assume @p42 (forall (@list @t23 @t8 @t60) (=> @t28 @t118)))
% 0.36/0.65  (assume @p43 (forall (@list @t23 @t22 @t21 @t8 @t60) (=> @t25 @t118)))
% 0.36/0.65  (assume @p44 (forall (@list @t29 @t8 @t60 @t23 @t22 @t30 @t119) (=> @t124 (=> (and @t123 @t122) (=> @t117 @t121)))))
% 0.36/0.65  (assume @p45 (forall (@list @t22 @t119 @t8 @t60 @t23 @t29 @t30) (=> @t124 (=> (and @t123 @t127 @t126) (=> @t117 @t125)))))
% 0.36/0.65  (assume @p46 (forall (@list @t23 @t22 @t30 @t119 @t29 @t8 @t60) (=> @t124 (=> (and @t123 @t127 @t128) @t118))))
% 0.36/0.65  (assume @p47 (forall (@list @t30 @t8 @t60 @t129 @t29) (=> @t137 (=> (and @t132 @t131) (=> @t117 @t130)))))
% 0.36/0.65  (assume @p48 (forall (@list @t29 @t30 @t129 @t8 @t60) (=> @t137 (=> (and @t132 @t138) @t118))))
% 0.36/0.65  (assume @p49 (forall (@list @t8 @t60) (=> (= @t116 @t60) (or (exists @t78 (and @t28 @t115)) (exists (@list @t23 @t22 @t21) (and @t25 @t115)) (exists (@list @t29 @t23 @t22 @t30 @t119) (and @t124 @t123 @t122 @t121)) (exists (@list @t22 @t119 @t23 @t29 @t30) (and @t124 @t123 @t127 @t126 @t125)) (exists (@list @t23 @t22 @t30 @t119 @t29) (and @t124 @t123 @t127 @t128 @t115)) (exists (@list @t30 @t129 @t29) (and @t32 @t136 @t132 @t131 @t130)) (exists (@list @t29 @t30 @t129) (and @t32 @t136 @t132 @t138 @t115))))))
% 0.36/0.65  (assume @p50 (forall (@list @t9 @t7 @t140 @t139) (and (=> @t141 @t142) (=> @t142 @t141))))
% 0.36/0.65  (assume @p51 (forall (@list @t71 @t23 @t41) (=> @t143 (tptp.vtcheck @t71 @t27 @t41))))
% 0.36/0.65  (assume @p52 (forall (@list @t71 @t23 @t21 @t22 @t41) (=> @t145 (tptp.vtcheck @t71 @t24 @t144))))
% 0.36/0.65  (assume @p53 (forall (@list @t22 @t71 @t30 @t29 @t41) (=> (and @t147 @t146) (tptp.vtcheck @t71 @t31 @t41))))
% 0.36/0.65  (assume @p54 (forall (@list @t21 @t41 @t71) (=> @t150 (or (exists @t78 (and (= @t21 @t27) @t143)) (exists (@list @t23 @t29 @t149 @t148) (and (= @t21 (tptp.vabs @t23 @t149 @t29)) (= @t41 (tptp.varrow @t149 @t148)) (tptp.vtcheck (tptp.vbind @t23 @t149 @t71) @t29 @t148))) (exists (@list @t30 @t29 @t22) (and (= @t21 @t31) @t147 @t146))))))
% 0.36/0.65  (assume @p55 (forall @t151 (=> (and (= @t75 tptp.vnoType) @t150) @t145)))
% 0.36/0.65  (assume @p56 @t155)
% 0.36/0.65  (assume @p57 (forall @t151 (=> (and @t153 @t150) @t145)))
% 0.36/0.65  (assume @p58 (forall (@list @t41 @t71 @t23 @t21 @t148) (=> (and @t150 (tptp.vtcheck @t156 tptp.veabs @t148)) (tptp.vtcheck @t71 (tptp.vsubst @t23 @t21 tptp.veabs) @t148))))
% 0.36/0.65  (assume @p59 @t163)
% 0.36/0.65  (assume @p60 true)
% 0.36/0.65  (step @p61 :rule aci_norm :args ((= (or false @t166 @t165 @t164) @t167)))
% 0.36/0.65  (step @p62 :rule refl :args (@t164))
% 0.36/0.65  (step @p63 :rule refl :args (@t165))
% 0.36/0.65  (step @p64 :rule refl :args (@t166))
% 0.36/0.65  (step @p65 :rule evaluate :args ((not true)))
% 0.36/0.65  (step @p66 :rule eq-refl :args (@t69))
% 0.36/0.65  (step @p67 :rule cong :premises (@p66) :args (@t168))
% 0.36/0.65  (step @p68 :rule trans :premises (@p67 @p65))
% 0.36/0.65  (step @p69 :rule nary_cong :premises (@p68 @p64 @p63 @p62) :args (@t169))
% 0.36/0.65  (step @p70 :rule trans :premises (@p69 @p61))
% 0.36/0.65  (step @p71 :rule cong :premises (@p70) :args ((forall @t170 @t169)))
% 0.36/0.65  (step @p72 :rule quant-var-elim-eq :args ((= (forall @t78 @t172) @t169)))
% 0.36/0.65  (step @p73 :rule aci_norm :args ((= @t173 @t172)))
% 0.36/0.65  (step @p74 :rule cong :premises (@p73) :args (@t174))
% 0.36/0.65  (step @p75 :rule trans :premises (@p74 @p72))
% 0.36/0.65  (step @p76 :rule cong :premises (@p75) :args (@t175))
% 0.36/0.65  (step @p77 :rule quant-merge-prenex :args ((= @t175 @t176)))
% 0.36/0.65  (step @p78 :rule symm :premises (@p77))
% 0.36/0.65  (step @p79 :rule quant_var_reordering :args ((= (forall @t161 @t173) @t176)))
% 0.36/0.65  (step @p80 :rule trans :premises (@p79 @p78 @p76))
% 0.36/0.65  (step @p81 :rule trans :premises (@p80 @p71))
% 0.36/0.65  (step @p82 :rule aci_norm :args ((= (or @t177 @t158) @t173)))
% 0.36/0.65  (step @p83 :rule refl :args (@t158))
% 0.36/0.65  (step @p84 :rule aci_norm :args ((= (or @t77 (or @t166 @t171)) @t177)))
% 0.36/0.65  (step @p85 :rule bool-and-de-morgan :args (@t150 @t159 true))
% 0.36/0.65  (step @p86 :rule refl :args (@t77))
% 0.36/0.65  (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t77 (not (and @t150 @t159)))))
% 0.36/0.65  (step @p88 :rule bool-and-de-morgan :args (@t70 @t150 (and @t159)))
% 0.36/0.65  (step @p89 :rule trans :premises (@p88 @p87))
% 0.36/0.65  (step @p90 :rule trans :premises (@p89 @p84))
% 0.36/0.65  (step @p91 :rule nary_cong :premises (@p90 @p83) :args ((or (not @t160) @t158)))
% 0.36/0.65  (step @p92 :rule trans :premises (@p91 @p82))
% 0.36/0.65  (step @p93 :rule bool-impl-elim :args (@t160 @t158))
% 0.36/0.65  (step @p94 :rule trans :premises (@p93 @p92))
% 0.36/0.65  (step @p95 :rule cong :premises (@p94) :args (@t162))
% 0.36/0.65  (step @p96 :rule trans :premises (@p95 @p81))
% 0.36/0.65  (step @p97 :rule cong :premises (@p96) :args (@t163))
% 0.36/0.65  (step @p98 :rule eq_resolve :premises (@p59 @p97))
% 0.36/0.65  (step @p99 :rule skolemize :premises (@p98))
% 0.36/0.65  (step @p100 :rule cnf_or_neg :args (@t191 2))
% 0.36/0.65  (step @p101 :rule chain_m_resolution :premises (@p100 @p99) :args (@t192 @t193 @t194))
% 0.36/0.65  (step @p102 :rule aci_norm :args ((= (or false @t196) @t196)))
% 0.36/0.65  (step @p103 :rule eq-symm :args (@t195 @t94))
% 0.36/0.65  (step @p104 :rule eq-refl :args (@t195))
% 0.36/0.65  (step @p105 :rule cong :premises (@p104) :args (@t197))
% 0.36/0.65  (step @p106 :rule trans :premises (@p105 @p65))
% 0.36/0.65  (step @p107 :rule nary_cong :premises (@p106 @p103) :args (@t198))
% 0.36/0.65  (step @p108 :rule trans :premises (@p107 @p102))
% 0.36/0.65  (step @p109 :rule cong :premises (@p108) :args ((forall @t199 @t198)))
% 0.36/0.65  (step @p110 :rule quant-var-elim-eq :args ((= (forall @t202 @t201) @t198)))
% 0.36/0.65  (step @p111 :rule aci_norm :args ((= @t203 @t201)))
% 0.36/0.65  (step @p112 :rule cong :premises (@p111) :args (@t204))
% 0.36/0.65  (step @p113 :rule trans :premises (@p112 @p110))
% 0.36/0.65  (step @p114 :rule cong :premises (@p113) :args (@t205))
% 0.36/0.65  (step @p115 :rule quant-merge-prenex :args ((= @t205 @t206)))
% 0.36/0.65  (step @p116 :rule symm :premises (@p115))
% 0.36/0.65  (step @p117 :rule quant_var_reordering :args ((= (forall @t207 @t203) @t206)))
% 0.36/0.65  (step @p118 :rule trans :premises (@p117 @p116 @p114))
% 0.36/0.65  (step @p119 :rule trans :premises (@p118 @p109))
% 0.36/0.65  (step @p120 :rule aci_norm :args ((= (or false @t200 @t95) @t203)))
% 0.36/0.65  (step @p121 :rule refl :args (@t95))
% 0.36/0.65  (step @p122 :rule refl :args (@t200))
% 0.36/0.65  (step @p123 :rule nary_cong :premises (@p68 @p122 @p121) :args (@t208))
% 0.36/0.65  (step @p124 :rule trans :premises (@p123 @p120))
% 0.36/0.65  (step @p125 :rule cong :premises (@p124) :args ((forall @t207 @t208)))
% 0.36/0.65  (step @p126 :rule trans :premises (@p125 @p119))
% 0.36/0.65  (step @p127 :rule quant-var-elim-eq :args ((= (forall @t78 @t210) @t208)))
% 0.36/0.65  (step @p128 :rule aci_norm :args ((= @t211 @t210)))
% 0.36/0.65  (step @p129 :rule cong :premises (@p128) :args (@t212))
% 0.36/0.65  (step @p130 :rule trans :premises (@p129 @p127))
% 0.36/0.65  (step @p131 :rule cong :premises (@p130) :args (@t213))
% 0.36/0.65  (step @p132 :rule quant-merge-prenex :args ((= @t213 @t214)))
% 0.36/0.65  (step @p133 :rule symm :premises (@p132))
% 0.36/0.65  (step @p134 :rule quant_var_reordering :args ((= (forall @t215 @t211) @t214)))
% 0.36/0.65  (step @p135 :rule trans :premises (@p134 @p133 @p131))
% 0.36/0.65  (step @p136 :rule trans :premises (@p135 @p126))
% 0.36/0.65  (step @p137 :rule aci_norm :args ((= (or false @t77 @t209 @t95) @t211)))
% 0.36/0.65  (step @p138 :rule refl :args (@t209))
% 0.36/0.65  (step @p139 :rule refl :args (@t77))
% 0.36/0.65  (step @p140 :rule eq-refl :args (@t94))
% 0.36/0.65  (step @p141 :rule cong :premises (@p140) :args (@t216))
% 0.36/0.65  (step @p142 :rule trans :premises (@p141 @p65))
% 0.36/0.65  (step @p143 :rule nary_cong :premises (@p142 @p139 @p138 @p121) :args (@t217))
% 0.36/0.65  (step @p144 :rule trans :premises (@p143 @p137))
% 0.36/0.65  (step @p145 :rule cong :premises (@p144) :args ((forall @t215 @t217)))
% 0.36/0.65  (step @p146 :rule trans :premises (@p145 @p136))
% 0.36/0.65  (step @p147 :rule quant-var-elim-eq :args ((= (forall @t221 @t220) @t217)))
% 0.36/0.65  (step @p148 :rule aci_norm :args ((= @t222 @t220)))
% 0.36/0.65  (step @p149 :rule cong :premises (@p148) :args (@t223))
% 0.36/0.65  (step @p150 :rule trans :premises (@p149 @p147))
% 0.36/0.65  (step @p151 :rule cong :premises (@p150) :args (@t224))
% 0.36/0.65  (step @p152 :rule quant-merge-prenex :args ((= @t224 @t225)))
% 0.36/0.65  (step @p153 :rule symm :premises (@p152))
% 0.36/0.65  (step @p154 :rule quant_var_reordering :args ((= (forall @t226 @t222) @t225)))
% 0.36/0.65  (step @p155 :rule trans :premises (@p154 @p153 @p151))
% 0.36/0.65  (step @p156 :rule trans :premises (@p155 @p146))
% 0.36/0.65  (step @p157 :rule aci_norm :args ((= (or false @t219 @t77 @t218 @t95) @t222)))
% 0.36/0.65  (step @p158 :rule refl :args (@t218))
% 0.36/0.65  (step @p159 :rule refl :args (@t219))
% 0.36/0.65  (step @p160 :rule eq-refl :args (@t21))
% 0.36/0.65  (step @p161 :rule cong :premises (@p160) :args (@t227))
% 0.36/0.65  (step @p162 :rule trans :premises (@p161 @p65))
% 0.36/0.65  (step @p163 :rule nary_cong :premises (@p162 @p159 @p139 @p158 @p121) :args (@t228))
% 0.36/0.65  (step @p164 :rule trans :premises (@p163 @p157))
% 0.36/0.65  (step @p165 :rule cong :premises (@p164) :args ((forall @t226 @t228)))
% 0.36/0.65  (step @p166 :rule trans :premises (@p165 @p156))
% 0.36/0.65  (step @p167 :rule quant-var-elim-eq :args ((= (forall @t111 @t231) @t228)))
% 0.36/0.65  (step @p168 :rule aci_norm :args ((= @t232 @t231)))
% 0.36/0.65  (step @p169 :rule cong :premises (@p168) :args (@t233))
% 0.36/0.65  (step @p170 :rule trans :premises (@p169 @p167))
% 0.36/0.65  (step @p171 :rule cong :premises (@p170) :args (@t234))
% 0.36/0.65  (step @p172 :rule quant-merge-prenex :args ((= @t234 @t235)))
% 0.36/0.65  (step @p173 :rule symm :premises (@p172))
% 0.36/0.65  (step @p174 :rule quant_var_reordering :args ((= (forall @t236 @t232) @t235)))
% 0.36/0.65  (step @p175 :rule trans :premises (@p174 @p173 @p171))
% 0.36/0.65  (step @p176 :rule trans :premises (@p175 @p166))
% 0.36/0.65  (step @p177 :rule aci_norm :args ((= (or false @t230 @t219 @t77 @t229 @t95) @t232)))
% 0.36/0.65  (step @p178 :rule refl :args (@t229))
% 0.36/0.65  (step @p179 :rule refl :args (@t230))
% 0.36/0.65  (step @p180 :rule eq-refl :args (@t23))
% 0.36/0.65  (step @p181 :rule cong :premises (@p180) :args (@t237))
% 0.36/0.65  (step @p182 :rule trans :premises (@p181 @p65))
% 0.36/0.65  (step @p183 :rule nary_cong :premises (@p182 @p179 @p159 @p139 @p178 @p121) :args (@t238))
% 0.36/0.65  (step @p184 :rule trans :premises (@p183 @p177))
% 0.36/0.65  (step @p185 :rule cong :premises (@p184) :args ((forall @t236 @t238)))
% 0.36/0.65  (step @p186 :rule trans :premises (@p185 @p176))
% 0.36/0.65  (step @p187 :rule quant-var-elim-eq :args ((= (forall @t242 @t241) @t238)))
% 0.36/0.65  (step @p188 :rule aci_norm :args ((= @t243 @t241)))
% 0.36/0.65  (step @p189 :rule cong :premises (@p188) :args (@t244))
% 0.36/0.65  (step @p190 :rule trans :premises (@p189 @p187))
% 0.36/0.65  (step @p191 :rule cong :premises (@p190) :args (@t245))
% 0.36/0.65  (step @p192 :rule quant-merge-prenex :args ((= @t245 @t246)))
% 0.36/0.65  (step @p193 :rule symm :premises (@p192))
% 0.36/0.65  (step @p194 :rule quant_var_reordering :args ((= (forall @t100 @t243) @t246)))
% 0.36/0.65  (step @p195 :rule trans :premises (@p194 @p193 @p191))
% 0.36/0.65  (step @p196 :rule trans :premises (@p195 @p186))
% 0.36/0.65  (step @p197 :rule aci_norm :args ((= (or @t248 @t247) @t243)))
% 0.36/0.65  (step @p198 :rule aci_norm :args ((= (or @t77 (or @t239 @t95)) @t247)))
% 0.36/0.65  (step @p199 :rule bool-impl-elim :args (@t85 @t95))
% 0.36/0.65  (step @p200 :rule nary_cong :premises (@p86 @p199) :args ((or @t77 @t96)))
% 0.36/0.65  (step @p201 :rule trans :premises (@p200 @p198))
% 0.36/0.65  (step @p202 :rule bool-impl-elim :args (@t70 @t96))
% 0.36/0.65  (step @p203 :rule trans :premises (@p202 @p201))
% 0.36/0.65  (step @p204 :rule aci_norm :args ((= (or @t240 (or @t230 @t219)) @t248)))
% 0.36/0.65  (step @p205 :rule bool-and-de-morgan :args (@t88 @t98 true))
% 0.36/0.65  (step @p206 :rule refl :args (@t240))
% 0.36/0.65  (step @p207 :rule nary_cong :premises (@p206 @p205) :args ((or @t240 (not (and @t88 @t98)))))
% 0.36/0.65  (step @p208 :rule bool-and-de-morgan :args (@t66 @t88 (and @t98)))
% 0.36/0.65  (step @p209 :rule trans :premises (@p208 @p207))
% 0.36/0.65  (step @p210 :rule trans :premises (@p209 @p204))
% 0.36/0.65  (step @p211 :rule nary_cong :premises (@p210 @p203) :args ((or (not @t99) @t97)))
% 0.36/0.65  (step @p212 :rule trans :premises (@p211 @p197))
% 0.36/0.65  (step @p213 :rule bool-impl-elim :args (@t99 @t97))
% 0.36/0.65  (step @p214 :rule trans :premises (@p213 @p212))
% 0.36/0.65  (step @p215 :rule cong :premises (@p214) :args (@t101))
% 0.36/0.65  (step @p216 :rule trans :premises (@p215 @p196))
% 0.36/0.65  (step @p217 :rule eq_resolve :premises (@p32 @p216))
% 0.36/0.65  (step @p218 :rule instantiate :premises (@p217) :args ((@list @t184 @t182 @t181 @t180)))
% 0.36/0.65  (step @p219 :rule aci_norm :args ((= (or (or @t152 @t249) @t150) (or @t152 @t249 @t150))))
% 0.36/0.65  (step @p220 :rule refl :args (@t150))
% 0.36/0.65  (step @p221 :rule refl :args (@t249))
% 0.36/0.65  (step @p222 :rule bool-double-not-elim :args (@t152))
% 0.36/0.65  (step @p223 :rule nary_cong :premises (@p222 @p221) :args ((or (not @t153) @t249)))
% 0.36/0.65  (step @p224 :rule bool-and-de-morgan :args (@t153 @t145 true))
% 0.36/0.65  (step @p225 :rule trans :premises (@p224 @p223))
% 0.36/0.65  (step @p226 :rule nary_cong :premises (@p225 @p220) :args ((or (not @t154) @t150)))
% 0.36/0.65  (step @p227 :rule trans :premises (@p226 @p219))
% 0.36/0.65  (step @p228 :rule bool-impl-elim :args (@t154 @t150))
% 0.36/0.65  (step @p229 :rule trans :premises (@p228 @p227))
% 0.36/0.65  (step @p230 :rule cong :premises (@p229) :args (@t155))
% 0.36/0.65  (step @p231 :rule eq_resolve :premises (@p56 @p230))
% 0.36/0.65  (step @p232 :rule instantiate :premises (@p231) :args ((@list @t182 @t188 @t186 @t183 @t179)))
% 0.36/0.65  (step @p233 :rule aci_norm :args ((= (and @t265 (and @t260 @t254)) (and @t265 @t260 @t254))))
% 0.36/0.65  (step @p234 :rule refl :args (@t254))
% 0.36/0.65  (step @p235 :rule aci_norm :args ((= (or false @t258) @t258)))
% 0.36/0.65  (step @p236 :rule refl :args (@t258))
% 0.36/0.65  (step @p237 :rule eq-refl :args (@t257))
% 0.36/0.65  (step @p238 :rule cong :premises (@p237) :args (@t266))
% 0.36/0.65  (step @p239 :rule trans :premises (@p238 @p65))
% 0.36/0.65  (step @p240 :rule nary_cong :premises (@p239 @p236) :args (@t267))
% 0.36/0.65  (step @p241 :rule trans :premises (@p240 @p235))
% 0.36/0.65  (step @p242 :rule cong :premises (@p241) :args ((forall @t259 @t267)))
% 0.36/0.65  (step @p243 :rule quant-var-elim-eq :args ((= (forall @t272 @t271) @t267)))
% 0.36/0.65  (step @p244 :rule aci_norm :args ((= @t273 @t271)))
% 0.36/0.65  (step @p245 :rule cong :premises (@p244) :args (@t274))
% 0.36/0.65  (step @p246 :rule trans :premises (@p245 @p243))
% 0.36/0.65  (step @p247 :rule cong :premises (@p246) :args (@t275))
% 0.36/0.65  (step @p248 :rule quant-merge-prenex :args ((= @t275 @t276)))
% 0.36/0.65  (step @p249 :rule symm :premises (@p248))
% 0.36/0.65  (step @p250 :rule quant_var_reordering :args ((= @t277 @t276)))
% 0.36/0.65  (step @p251 :rule trans :premises (@p250 @p249 @p247))
% 0.36/0.65  (step @p252 :rule trans :premises (@p251 @p242))
% 0.36/0.65  (step @p253 :rule nary_cong :premises (@p252 @p234) :args ((and @t277 @t254)))
% 0.36/0.65  (step @p254 :rule alpha_equiv :args (@t286 @t287 (@list @t251 @t252 @t253 @t250)))
% 0.36/0.65  (step @p255 :rule alpha_equiv :args (@t290 @t287 (@list @t256 @t268 @t257 @t255)))
% 0.36/0.65  (step @p256 :rule nary_cong :premises (@p255 @p254) :args (@t291))
% 0.36/0.65  (step @p257 :rule quant-miniscope-and :args ((= (forall @t285 (and @t289 @t284)) @t291)))
% 0.36/0.65  (step @p258 :rule trans :premises (@p257 @p256))
% 0.36/0.65  (step @p259 :rule trans :premises (@p258 @p253))
% 0.36/0.65  (step @p260 :rule bool-or-and-distrib :args (@t288 @t283 true @t282 false))
% 0.36/0.65  (step @p261 :rule cong :premises (@p260) :args ((forall @t285 @t293)))
% 0.36/0.65  (step @p262 :rule trans :premises (@p261 @p259))
% 0.36/0.65  (step @p263 :rule aci_norm :args ((= @t294 @t293)))
% 0.36/0.65  (step @p264 :rule cong :premises (@p263) :args (@t295))
% 0.36/0.65  (step @p265 :rule trans :premises (@p264 @p262))
% 0.36/0.65  (step @p266 :rule refl :args (@t265))
% 0.36/0.65  (step @p267 :rule nary_cong :premises (@p266 @p265) :args ((and @t265 @t295)))
% 0.36/0.65  (step @p268 :rule trans :premises (@p267 @p233))
% 0.36/0.65  (step @p269 :rule alpha_equiv :args (@t299 @t300 @t287))
% 0.36/0.65  (step @p270 :rule alpha_equiv :args (@t302 @t300 (@list @t262 @t263 @t264 @t261)))
% 0.36/0.65  (step @p271 :rule nary_cong :premises (@p270 @p269) :args (@t303))
% 0.36/0.65  (step @p272 :rule quant-miniscope-and :args ((= (forall @t298 @t304) @t303)))
% 0.36/0.65  (step @p273 :rule trans :premises (@p272 @p271))
% 0.36/0.65  (step @p274 :rule trans :premises (@p273 @p268))
% 0.36/0.65  (step @p275 :rule aci_norm :args ((= (or false @t304) @t304)))
% 0.36/0.65  (step @p276 :rule refl :args (@t304))
% 0.36/0.65  (step @p277 :rule eq-refl :args (@t42))
% 0.36/0.65  (step @p278 :rule cong :premises (@p277) :args (@t305))
% 0.36/0.65  (step @p279 :rule trans :premises (@p278 @p65))
% 0.36/0.65  (step @p280 :rule nary_cong :premises (@p279 @p276) :args (@t306))
% 0.36/0.65  (step @p281 :rule trans :premises (@p280 @p275))
% 0.36/0.65  (step @p282 :rule cong :premises (@p281) :args ((forall @t298 @t306)))
% 0.36/0.65  (step @p283 :rule trans :premises (@p282 @p274))
% 0.36/0.65  (step @p284 :rule quant-var-elim-eq :args ((= (forall @t111 @t310) @t306)))
% 0.36/0.65  (step @p285 :rule aci_norm :args ((= @t311 @t310)))
% 0.36/0.65  (step @p286 :rule cong :premises (@p285) :args (@t312))
% 0.36/0.65  (step @p287 :rule trans :premises (@p286 @p284))
% 0.36/0.65  (step @p288 :rule cong :premises (@p287) :args (@t313))
% 0.36/0.65  (step @p289 :rule quant-merge-prenex :args ((= @t313 @t314)))
% 0.36/0.65  (step @p290 :rule symm :premises (@p289))
% 0.36/0.65  (step @p291 :rule quant_var_reordering :args ((= (forall @t315 @t311) @t314)))
% 0.36/0.65  (step @p292 :rule trans :premises (@p291 @p290 @p288))
% 0.36/0.65  (step @p293 :rule trans :premises (@p292 @p283))
% 0.36/0.65  (step @p294 :rule aci_norm :args ((= (or false @t309 @t308) @t311)))
% 0.36/0.65  (step @p295 :rule refl :args (@t308))
% 0.36/0.65  (step @p296 :rule refl :args (@t309))
% 0.36/0.65  (step @p297 :rule eq-refl :args (@t33))
% 0.36/0.65  (step @p298 :rule cong :premises (@p297) :args (@t316))
% 0.36/0.65  (step @p299 :rule trans :premises (@p298 @p65))
% 0.36/0.65  (step @p300 :rule nary_cong :premises (@p299 @p296 @p295) :args (@t317))
% 0.36/0.65  (step @p301 :rule trans :premises (@p300 @p294))
% 0.36/0.65  (step @p302 :rule cong :premises (@p301) :args ((forall @t315 @t317)))
% 0.36/0.65  (step @p303 :rule trans :premises (@p302 @p293))
% 0.36/0.65  (step @p304 :rule quant-var-elim-eq :args ((= (forall @t242 @t321) @t317)))
% 0.36/0.65  (step @p305 :rule aci_norm :args ((= @t322 @t321)))
% 0.36/0.65  (step @p306 :rule cong :premises (@p305) :args (@t323))
% 0.36/0.65  (step @p307 :rule trans :premises (@p306 @p304))
% 0.36/0.65  (step @p308 :rule cong :premises (@p307) :args (@t324))
% 0.36/0.65  (step @p309 :rule quant-merge-prenex :args ((= @t324 @t325)))
% 0.36/0.65  (step @p310 :rule symm :premises (@p309))
% 0.36/0.65  (step @p311 :rule quant_var_reordering :args ((= (forall @t45 @t322) @t325)))
% 0.36/0.65  (step @p312 :rule trans :premises (@p311 @p310 @p308))
% 0.36/0.65  (step @p313 :rule trans :premises (@p312 @p303))
% 0.36/0.65  (step @p314 :rule aci_norm :args ((= (or (or @t320 @t309) @t319) @t322)))
% 0.36/0.65  (step @p315 :rule bool-impl-elim :args (@t35 @t39))
% 0.36/0.65  (step @p316 :rule aci_norm :args ((= (or (or @t34 @t83) @t35) @t318)))
% 0.36/0.65  (step @p317 :rule refl :args (@t35))
% 0.36/0.65  (step @p318 :rule refl :args (@t83))
% 0.36/0.65  (step @p319 :rule bool-double-not-elim :args (@t34))
% 0.36/0.65  (step @p320 :rule nary_cong :premises (@p319 @p318) :args ((or (not @t38) @t83)))
% 0.36/0.65  (step @p321 :rule bool-and-de-morgan :args (@t38 @t37 true))
% 0.36/0.65  (step @p322 :rule trans :premises (@p321 @p320))
% 0.36/0.65  (step @p323 :rule nary_cong :premises (@p322 @p317) :args ((or (not @t39) @t35)))
% 0.36/0.65  (step @p324 :rule trans :premises (@p323 @p316))
% 0.36/0.65  (step @p325 :rule bool-impl-elim :args (@t39 @t35))
% 0.36/0.65  (step @p326 :rule trans :premises (@p325 @p324))
% 0.36/0.65  (step @p327 :rule nary_cong :premises (@p326 @p315) :args (@t40))
% 0.36/0.65  (step @p328 :rule bool-and-de-morgan :args (@t36 @t43 true))
% 0.36/0.65  (step @p329 :rule nary_cong :premises (@p328 @p327) :args ((or (not @t44) @t40)))
% 0.36/0.65  (step @p330 :rule trans :premises (@p329 @p314))
% 0.36/0.65  (step @p331 :rule bool-impl-elim :args (@t44 @t40))
% 0.36/0.65  (step @p332 :rule trans :premises (@p331 @p330))
% 0.36/0.65  (step @p333 :rule cong :premises (@p332) :args (@t46))
% 0.36/0.65  (step @p334 :rule trans :premises (@p333 @p313))
% 0.36/0.65  (step @p335 :rule eq_resolve :premises (@p11 @p334))
% 0.36/0.65  (step @p336 :rule and_elim :premises (@p335) :args (1))
% 0.36/0.65  (step @p337 :rule instantiate :premises (@p336) :args ((@list @t181 @t182 @t180)))
% 0.36/0.65  (step @p338 :rule bool-double-not-elim :args (@t189))
% 0.36/0.65  (step @p339 :rule refl :args (@t191))
% 0.36/0.65  (step @p340 :rule nary_cong :premises (@p339 @p338) :args ((or @t191 (not @t190))))
% 0.36/0.65  (step @p341 :rule cnf_or_neg :args (@t191 1))
% 0.36/0.65  (step @p342 :rule eq_resolve :premises (@p341 @p340))
% 0.36/0.65  (step @p343 :rule reordering :premises (@p342) :args ((or @t189 @t191)))
% 0.36/0.65  (step @p344 :rule chain_m_resolution :premises (@p343 @p99) :args (@t189 @t193 @t194))
% 0.36/0.65  (step @p345 :rule cnf_or_pos :args (@t328))
% 0.36/0.65  (step @p346 :rule reordering :premises (@p345) :args ((or @t190 @t327 @t326 (not @t328))))
% 0.36/0.65  (step @p347 :rule chain_m_resolution :premises (@p346 @p344 @p337 @p232) :args (@t326 (@list false true false) (@list @t189 @t327 @t328)))
% 0.36/0.65  (step @p348 :rule refl :args (@t329))
% 0.36/0.65  (step @p349 :rule refl :args (@t331))
% 0.36/0.65  (step @p350 :rule bool-double-not-elim :args (@t187))
% 0.36/0.65  (step @p351 :rule nary_cong :premises (@p350 @p349 @p348) :args ((or (not @t192) @t331 @t329)))
% 0.36/0.65  (assume-push @p368 @t192)
% 0.36/0.65  (assume-push @p369 @t330)
% 0.36/0.65  (step @p354 :rule false_intro :premises (@p101))
% 0.36/0.65  (step @p355 :rule refl :args (@t179))
% 0.36/0.65  (step @p356 :rule refl :args (@t186))
% 0.36/0.65  (step @p357 :rule cong :premises (@p356 @p218 @p355) :args (@t326))
% 0.36/0.65  (step @p358 :rule trans :premises (@p357 @p354))
% 0.36/0.65  (step @p359 :rule false_elim :premises (@p358))
% 0.36/0.65  (step-pop @p370 :rule scope :premises (@p359))
% 0.36/0.65  (step-pop @p371 :rule scope :premises (@p370))
% 0.36/0.65  (step @p360 :rule process_scope :premises (@p371) :args (@t329))
% 0.36/0.65  (step @p363 :rule implies_elim :premises (@p360))
% 0.36/0.65  (step @p364 :rule cnf_and_neg :args (@t332))
% 0.36/0.65  (step @p365 :rule resolution :premises (@p364 @p363) :args (true @t332))
% 0.36/0.65  (step @p366 :rule eq_resolve :premises (@p365 @p351))
% 0.36/0.65  (step @p367 false :rule chain_m_resolution :premises (@p366 @p347 @p218 @p101) :args (false (@list false false true) (@list @t326 @t330 @t187)))
% 0.36/0.65  )
% 0.36/0.65  % SZS output end Proof
% 0.36/0.66  % cvc5 exiting
%------------------------------------------------------------------------------