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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWX088_1 : TPTP v9.2.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n029.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 09:07:06 AM UTC 2026

% Result   : Theorem 45.84s 46.11s
% Output   : Proof 45.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWX088_1 : TPTP v9.2.1. Released v9.1.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.36  % Computer : n029.cluster.edu
% 0.19/0.36  % Model    : x86_64 x86_64
% 0.19/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36  % Memory   : 8042.1875MB
% 0.19/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36  % CPULimit : 300
% 0.19/0.36  % WCLimit  : 300
% 0.19/0.36  % DateTime : Tue Jun  2 22:56:02 EDT 2026
% 0.19/0.36  % CPUTime  : 
% 0.28/0.52  %----Proving TF0_ARI
% 45.84/46.11  --- Run --finite-model-find --decision=internal at 45...
% 45.84/46.11  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60...
% 45.84/46.11  % SZS status Theorem
% 45.84/46.11  % SZS output start Proof
% 45.84/46.11  (
% 45.84/46.11  (declare-sort tptp.symbol 0)
% 45.84/46.11  (declare-sort tptp.general 0)
% 45.84/46.11  (declare-const tptp.in_building_p (-> tptp.general tptp.general Bool))
% 45.84/46.11  (declare-const tptp.f__integer__ (-> Int tptp.general))
% 45.84/46.11  (declare-const tptp.f__symbolic__ (-> tptp.symbol tptp.general))
% 45.84/46.11  (declare-const tptp.c__supremum__ tptp.general)
% 45.84/46.11  (declare-const tptp.p__is_symbolic__ (-> tptp.general Bool))
% 45.84/46.11  (declare-const tptp.person (-> tptp.general Bool))
% 45.84/46.11  (declare-const tptp.c__infimum__ tptp.general)
% 45.84/46.11  (declare-const tptp.p__is_integer__ (-> tptp.general Bool))
% 45.84/46.11  (declare-const tptp.in0 (-> tptp.general tptp.general Bool))
% 45.84/46.11  (declare-const tptp.goto (-> tptp.general tptp.general tptp.general Bool))
% 45.84/46.11  (declare-const tptp.p__less_equal__ (-> tptp.general tptp.general Bool))
% 45.84/46.11  (declare-const tptp.go (-> tptp.general tptp.general Bool))
% 45.84/46.11  (declare-const tptp.p__less__ (-> tptp.general tptp.general Bool))
% 45.84/46.11  (declare-const tptp.in_building (-> tptp.general tptp.general Bool))
% 45.84/46.11  (declare-const tptp.p__greater_equal__ (-> tptp.general tptp.general Bool))
% 45.84/46.11  (declare-const tptp.h_i Int)
% 45.84/46.11  (declare-const tptp.in (-> tptp.general tptp.general tptp.general Bool))
% 45.84/46.11  (declare-const tptp.p__greater__ (-> tptp.general tptp.general Bool))
% 45.84/46.11  (define @t1 () (@var "N" Int))
% 45.84/46.11  (define @t2 () (tptp.f__integer__ @t1))
% 45.84/46.11  (define @t3 () (@var "X" tptp.general))
% 45.84/46.11  (define @t4 () (@list @t1))
% 45.84/46.11  (define @t5 () (tptp.p__is_integer__ @t3))
% 45.84/46.11  (define @t6 () (@list @t3))
% 45.84/46.11  (define @t7 () (@var "X2" tptp.symbol))
% 45.84/46.11  (define @t8 () (@var "X1" tptp.general))
% 45.84/46.11  (define @t9 () (@var "N2" Int))
% 45.84/46.11  (define @t10 () (@var "N1" Int))
% 45.84/46.11  (define @t11 () (tptp.f__integer__ @t9))
% 45.84/46.11  (define @t12 () (tptp.f__integer__ @t10))
% 45.84/46.11  (define @t13 () (@list @t10 @t9))
% 45.84/46.11  (define @t14 () (@var "S2" tptp.symbol))
% 45.84/46.11  (define @t15 () (@var "S1" tptp.symbol))
% 45.84/46.11  (define @t16 () (@var "X2" tptp.general))
% 45.84/46.11  (define @t17 () (= @t8 @t16))
% 45.84/46.11  (define @t18 () (tptp.p__less_equal__ @t16 @t8))
% 45.84/46.11  (define @t19 () (tptp.p__less_equal__ @t8 @t16))
% 45.84/46.11  (define @t20 () (@list @t8 @t16))
% 45.84/46.11  (define @t21 () (@var "X3" tptp.general))
% 45.84/46.11  (define @t22 () (not @t17))
% 45.84/46.11  (define @t23 () (@var "S" tptp.symbol))
% 45.84/46.11  (define @t24 () (tptp.f__symbolic__ @t23))
% 45.84/46.11  (define @t25 () (@var "X_g" tptp.general))
% 45.84/46.11  (define @t26 () (tptp.person @t25))
% 45.84/46.11  (define @t27 () (@var "Y_g" tptp.general))
% 45.84/46.11  (define @t28 () (@var "Z_g" tptp.general))
% 45.84/46.11  (define @t29 () (@var "Z2_g" tptp.general))
% 45.84/46.11  (define @t30 () (@var "Z1_g" tptp.general))
% 45.84/46.11  (define @t31 () (@var "T_g" tptp.general))
% 45.84/46.11  (define @t32 () (= @t29 @t31))
% 45.84/46.11  (define @t33 () (@var "R_g" tptp.general))
% 45.84/46.11  (define @t34 () (= @t30 @t33))
% 45.84/46.11  (define @t35 () (@var "P_g" tptp.general))
% 45.84/46.11  (define @t36 () (= @t28 @t35))
% 45.84/46.11  (define @t37 () (@list @t28 @t30 @t29))
% 45.84/46.11  (define @t38 () (exists @t37 (and @t36 @t34 @t32 (tptp.goto @t28 @t30 @t29))))
% 45.84/46.11  (define @t39 () (@var "V2_g" tptp.general))
% 45.84/46.11  (define @t40 () (= @t39 @t31))
% 45.84/46.11  (define @t41 () (@var "V1_g" tptp.general))
% 45.84/46.11  (define @t42 () (= @t41 @t35))
% 45.84/46.11  (define @t43 () (@list @t35 @t31 @t33))
% 45.84/46.11  (define @t44 () (@list @t41 @t39))
% 45.84/46.11  (define @t45 () (tptp.in @t28 @t30 @t29))
% 45.84/46.11  (define @t46 () (and @t36 @t34 @t32 @t45))
% 45.84/46.11  (define @t47 () (exists @t37 @t46))
% 45.84/46.11  (define @t48 () (and @t42 @t40 @t47))
% 45.84/46.11  (define @t49 () (exists @t43 @t48))
% 45.84/46.11  (define @t50 () (tptp.in_building @t41 @t39))
% 45.84/46.11  (define @t51 () (= @t50 @t49))
% 45.84/46.11  (define @t52 () (forall @t44 @t51))
% 45.84/46.11  (define @t53 () (tptp.in_building_p @t41 @t39))
% 45.84/46.11  (define @t54 () (forall @t44 (= @t53 @t49)))
% 45.84/46.11  (define @t55 () (= @t28 @t30))
% 45.84/46.11  (define @t56 () (not @t55))
% 45.84/46.11  (define @t57 () (@var "R2_g" tptp.general))
% 45.84/46.11  (define @t58 () (= @t30 @t57))
% 45.84/46.11  (define @t59 () (@var "R1_g" tptp.general))
% 45.84/46.11  (define @t60 () (@list @t28 @t30))
% 45.84/46.11  (define @t61 () (@var "J_i" Int))
% 45.84/46.11  (define @t62 () (@var "K_i" Int))
% 45.84/46.11  (define @t63 () (<= @t62 @t61))
% 45.84/46.11  (define @t64 () (@var "I_i" Int))
% 45.84/46.11  (define @t65 () (<= @t64 @t62))
% 45.84/46.11  (define @t66 () (= @t30 (tptp.f__integer__ @t62)))
% 45.84/46.11  (define @t67 () (= @t61 tptp.h_i))
% 45.84/46.11  (define @t68 () (= @t64 0))
% 45.84/46.11  (define @t69 () (and @t68 @t67 @t66 @t65 @t63))
% 45.84/46.11  (define @t70 () (@list @t64 @t61 @t62))
% 45.84/46.11  (define @t71 () (exists @t70 @t69))
% 45.84/46.11  (define @t72 () (= @t28 @t31))
% 45.84/46.11  (define @t73 () (and @t72 @t71 @t55))
% 45.84/46.11  (define @t74 () (exists @t60 @t73))
% 45.84/46.11  (define @t75 () (tptp.person @t28))
% 45.84/46.11  (define @t76 () (and @t36 @t75))
% 45.84/46.11  (define @t77 () (@list @t28))
% 45.84/46.11  (define @t78 () (exists @t77 @t76))
% 45.84/46.11  (define @t79 () (tptp.in_building_p @t28 @t30))
% 45.84/46.11  (define @t80 () (not @t79))
% 45.84/46.11  (define @t81 () (= @t30 @t31))
% 45.84/46.11  (define @t82 () (and @t36 @t81 @t80))
% 45.84/46.11  (define @t83 () (exists @t60 @t82))
% 45.84/46.11  (define @t84 () (and @t83 @t78 @t74))
% 45.84/46.11  (define @t85 () (@list @t35 @t31))
% 45.84/46.11  (define @t86 () (forall @t85 (=> @t84 false)))
% 45.84/46.11  (define @t87 () (@var "V3_g" tptp.general))
% 45.84/46.11  (define @t88 () (tptp.in @t41 @t39 @t87))
% 45.84/46.11  (define @t89 () (@var "J1_i" Int))
% 45.84/46.11  (define @t90 () (exists (@list @t64 @t61) (and (= @t87 (tptp.f__integer__ (+ @t64 @t61))) (= (tptp.f__integer__ @t64) @t31) (= @t61 1))))
% 45.84/46.11  (define @t91 () (= @t39 @t33))
% 45.84/46.11  (define @t92 () (@list @t35 @t33 @t31))
% 45.84/46.11  (define @t93 () (@var "N_i" Int))
% 45.84/46.11  (define @t94 () (tptp.in_building @t28 @t30))
% 45.84/46.11  (define @t95 () (not @t94))
% 45.84/46.11  (define @t96 () (and @t36 @t81 @t95))
% 45.84/46.11  (define @t97 () (exists @t60 @t96))
% 45.84/46.11  (define @t98 () (and @t97 @t78 @t74))
% 45.84/46.11  (define @t99 () (forall @t85 (=> @t98 false)))
% 45.84/46.11  (define @t100 () (not @t99))
% 45.84/46.11  (define @t101 () (not (tptp.in @t41 @t33 @t39)))
% 45.84/46.11  (define @t102 () (@list @t33))
% 45.84/46.11  (define @t103 () (not (forall @t102 @t101)))
% 45.84/46.11  (define @t104 () (not (= @t39 @t39)))
% 45.84/46.11  (define @t105 () (or @t104 @t101))
% 45.84/46.11  (define @t106 () (not (tptp.in @t41 @t33 @t31)))
% 45.84/46.11  (define @t107 () (not @t40))
% 45.84/46.11  (define @t108 () (@list @t31))
% 45.84/46.11  (define @t109 () (or @t107 @t107 @t106))
% 45.84/46.11  (define @t110 () (or @t107 @t106))
% 45.84/46.11  (define @t111 () (forall @t108 @t110))
% 45.84/46.11  (define @t112 () (forall @t102 @t111))
% 45.84/46.11  (define @t113 () (forall (@list @t33 @t31) @t110))
% 45.84/46.11  (define @t114 () (@list @t31 @t33))
% 45.84/46.11  (define @t115 () (not (= @t41 @t41)))
% 45.84/46.11  (define @t116 () (or @t115 @t107 @t106))
% 45.84/46.11  (define @t117 () (tptp.in @t35 @t33 @t31))
% 45.84/46.11  (define @t118 () (not @t117))
% 45.84/46.11  (define @t119 () (not @t42))
% 45.84/46.11  (define @t120 () (@list @t35))
% 45.84/46.11  (define @t121 () (or @t119 @t119 @t107 @t118))
% 45.84/46.11  (define @t122 () (or @t119 @t107 @t118))
% 45.84/46.11  (define @t123 () (forall @t120 @t122))
% 45.84/46.11  (define @t124 () (forall @t114 @t123))
% 45.84/46.11  (define @t125 () (forall (@list @t31 @t33 @t35) @t122))
% 45.84/46.11  (define @t126 () (and @t42 @t40 @t117))
% 45.84/46.11  (define @t127 () (forall @t43 (not @t126)))
% 45.84/46.11  (define @t128 () (not @t127))
% 45.84/46.11  (define @t129 () (not (= @t31 @t31)))
% 45.84/46.11  (define @t130 () (or @t129 @t118))
% 45.84/46.11  (define @t131 () (not (tptp.in @t35 @t33 @t29)))
% 45.84/46.11  (define @t132 () (= @t31 @t29))
% 45.84/46.11  (define @t133 () (not @t132))
% 45.84/46.11  (define @t134 () (@list @t29))
% 45.84/46.11  (define @t135 () (or @t133 @t133 @t131))
% 45.84/46.11  (define @t136 () (or @t133 @t131))
% 45.84/46.11  (define @t137 () (not (= @t33 @t33)))
% 45.84/46.11  (define @t138 () (or @t137 @t133 @t131))
% 45.84/46.11  (define @t139 () (not (tptp.in @t35 @t30 @t29)))
% 45.84/46.11  (define @t140 () (= @t33 @t30))
% 45.84/46.11  (define @t141 () (not @t140))
% 45.84/46.11  (define @t142 () (@list @t30))
% 45.84/46.11  (define @t143 () (or @t141 @t141 @t133 @t139))
% 45.84/46.11  (define @t144 () (or @t141 @t133 @t139))
% 45.84/46.11  (define @t145 () (forall @t142 @t144))
% 45.84/46.11  (define @t146 () (forall @t134 @t145))
% 45.84/46.11  (define @t147 () (forall (@list @t29 @t30) @t144))
% 45.84/46.11  (define @t148 () (@list @t30 @t29))
% 45.84/46.11  (define @t149 () (not (= @t35 @t35)))
% 45.84/46.11  (define @t150 () (or @t149 @t141 @t133 @t139))
% 45.84/46.11  (define @t151 () (not @t45))
% 45.84/46.11  (define @t152 () (not @t36))
% 45.84/46.11  (define @t153 () (or @t152 @t152 @t141 @t133 @t151))
% 45.84/46.11  (define @t154 () (or @t152 @t141 @t133 @t151))
% 45.84/46.11  (define @t155 () (forall @t77 @t154))
% 45.84/46.11  (define @t156 () (forall @t148 @t155))
% 45.84/46.11  (define @t157 () (forall (@list @t30 @t29 @t28) @t154))
% 45.84/46.11  (define @t158 () (and @t36 @t140 @t132 @t45))
% 45.84/46.11  (define @t159 () (forall @t37 (not @t158)))
% 45.84/46.11  (define @t160 () (not @t159))
% 45.84/46.11  (define @t161 () (@var "BOUND_VARIABLE_8044" Int))
% 45.84/46.11  (define @t162 () (not (>= (+ tptp.h_i (* -1 @t161)) 0)))
% 45.84/46.11  (define @t163 () (not (>= @t161 0)))
% 45.84/46.11  (define @t164 () (tptp.person @t35))
% 45.84/46.11  (define @t165 () (not @t164))
% 45.84/46.11  (define @t166 () (tptp.f__integer__ @t161))
% 45.84/46.11  (define @t167 () (tptp.in_building_p @t35 @t166))
% 45.84/46.11  (define @t168 () (not (= @t166 @t166)))
% 45.84/46.11  (define @t169 () (or @t167 @t165 @t168 @t163 @t162))
% 45.84/46.11  (define @t170 () (@list @t35 @t161))
% 45.84/46.11  (define @t171 () (not (= @t31 @t166)))
% 45.84/46.11  (define @t172 () (tptp.in_building_p @t35 @t31))
% 45.84/46.11  (define @t173 () (or @t171 @t172 @t165 @t171 @t163 @t162))
% 45.84/46.11  (define @t174 () (or @t172 @t165 @t171 @t163 @t162))
% 45.84/46.11  (define @t175 () (forall @t108 @t174))
% 45.84/46.11  (define @t176 () (forall @t170 @t175))
% 45.84/46.11  (define @t177 () (forall (@list @t35 @t161 @t31) @t174))
% 45.84/46.11  (define @t178 () (@list @t35 @t31 @t161))
% 45.84/46.11  (define @t179 () (or @t171 @t163 @t162))
% 45.84/46.11  (define @t180 () (or @t172 @t165 @t179))
% 45.84/46.11  (define @t181 () (forall @t178 @t180))
% 45.84/46.11  (define @t182 () (@list @t161))
% 45.84/46.11  (define @t183 () (forall @t182 @t180))
% 45.84/46.11  (define @t184 () (forall @t182 @t179))
% 45.84/46.11  (define @t185 () (@var "BOUND_VARIABLE_8007" Int))
% 45.84/46.11  (define @t186 () (@list @t185))
% 45.84/46.11  (define @t187 () (or @t172 @t165 @t184))
% 45.84/46.11  (define @t188 () (not (>= (+ tptp.h_i (* -1 @t185)) 0)))
% 45.84/46.11  (define @t189 () (not (>= @t185 0)))
% 45.84/46.11  (define @t190 () (tptp.f__integer__ @t185))
% 45.84/46.11  (define @t191 () (not (= @t31 @t190)))
% 45.84/46.11  (define @t192 () (or @t191 @t189 @t188))
% 45.84/46.11  (define @t193 () (@list @t185))
% 45.84/46.11  (define @t194 () (forall @t193 @t192))
% 45.84/46.11  (define @t195 () (not @t194))
% 45.84/46.11  (define @t196 () (not @t195))
% 45.84/46.11  (define @t197 () (not @t172))
% 45.84/46.11  (define @t198 () (not @t197))
% 45.84/46.11  (define @t199 () (or @t198 @t165 @t196))
% 45.84/46.11  (define @t200 () (or @t165 @t196))
% 45.84/46.11  (define @t201 () (not (and @t164 @t195)))
% 45.84/46.11  (define @t202 () (or @t129 @t191 @t189 @t188))
% 45.84/46.11  (define @t203 () (not (= @t30 @t190)))
% 45.84/46.11  (define @t204 () (= @t31 @t30))
% 45.84/46.11  (define @t205 () (not @t204))
% 45.84/46.11  (define @t206 () (not @t81))
% 45.84/46.11  (define @t207 () (or @t205 @t205 @t203 @t189 @t188))
% 45.84/46.11  (define @t208 () (or @t205 @t203 @t189 @t188))
% 45.84/46.11  (define @t209 () (forall @t142 @t208))
% 45.84/46.11  (define @t210 () (forall @t193 @t209))
% 45.84/46.11  (define @t211 () (forall (@list @t185 @t30) @t208))
% 45.84/46.11  (define @t212 () (@list @t30 @t185))
% 45.84/46.11  (define @t213 () (or @t129 @t205 @t203 @t189 @t188))
% 45.84/46.11  (define @t214 () (not @t72))
% 45.84/46.11  (define @t215 () (or @t214 @t214 @t56 @t203 @t189 @t188))
% 45.84/46.11  (define @t216 () (or @t214 @t56 @t203 @t189 @t188))
% 45.84/46.11  (define @t217 () (forall @t77 @t216))
% 45.84/46.11  (define @t218 () (forall @t212 @t217))
% 45.84/46.11  (define @t219 () (forall (@list @t30 @t185 @t28) @t216))
% 45.84/46.11  (define @t220 () (@list @t28 @t30 @t185))
% 45.84/46.11  (define @t221 () (or @t203 @t189 @t188))
% 45.84/46.11  (define @t222 () (or @t214 @t221 @t56))
% 45.84/46.11  (define @t223 () (forall @t220 @t222))
% 45.84/46.11  (define @t224 () (forall @t193 @t222))
% 45.84/46.11  (define @t225 () (forall @t193 @t221))
% 45.84/46.11  (define @t226 () (or @t214 @t225 @t56))
% 45.84/46.11  (define @t227 () (* -1 @t62))
% 45.84/46.11  (define @t228 () (not (>= (+ tptp.h_i @t227) 0)))
% 45.84/46.11  (define @t229 () (not (>= @t62 0)))
% 45.84/46.11  (define @t230 () (not @t66))
% 45.84/46.11  (define @t231 () (or @t230 @t229 @t228))
% 45.84/46.11  (define @t232 () (@list @t62))
% 45.84/46.11  (define @t233 () (forall @t232 @t231))
% 45.84/46.11  (define @t234 () (not @t233))
% 45.84/46.11  (define @t235 () (not @t234))
% 45.84/46.11  (define @t236 () (or @t214 @t235 @t56))
% 45.84/46.11  (define @t237 () (and @t72 @t234 @t55))
% 45.84/46.11  (define @t238 () (forall @t60 (not @t237)))
% 45.84/46.11  (define @t239 () (not @t238))
% 45.84/46.11  (define @t240 () (not (= tptp.h_i tptp.h_i)))
% 45.84/46.11  (define @t241 () (or @t240 @t230 @t229 @t228))
% 45.84/46.11  (define @t242 () (+ @t61 @t227))
% 45.84/46.11  (define @t243 () (>= @t242 0))
% 45.84/46.11  (define @t244 () (not @t243))
% 45.84/46.11  (define @t245 () (= tptp.h_i @t61))
% 45.84/46.11  (define @t246 () (not @t245))
% 45.84/46.11  (define @t247 () (@list @t61))
% 45.84/46.11  (define @t248 () (* 1 (- @t61 tptp.h_i)))
% 45.84/46.11  (define @t249 () (* -1 (- tptp.h_i @t61)))
% 45.84/46.11  (define @t250 () (or @t246 @t246 @t230 @t229 @t244))
% 45.84/46.11  (define @t251 () (or @t246 @t230 @t229 @t244))
% 45.84/46.11  (define @t252 () (forall @t247 @t251))
% 45.84/46.11  (define @t253 () (forall @t232 @t252))
% 45.84/46.11  (define @t254 () (forall (@list @t62 @t61) @t251))
% 45.84/46.11  (define @t255 () (@list @t61 @t62))
% 45.84/46.11  (define @t256 () (+ @t62 1))
% 45.84/46.11  (define @t257 () (+ 0 @t227))
% 45.84/46.11  (define @t258 () (>= @t257 1))
% 45.84/46.11  (define @t259 () (= 0 0))
% 45.84/46.11  (define @t260 () (not @t259))
% 45.84/46.11  (define @t261 () (or @t260 @t246 @t230 @t258 @t244))
% 45.84/46.11  (define @t262 () (+ @t64 @t227))
% 45.84/46.11  (define @t263 () (>= @t262 1))
% 45.84/46.11  (define @t264 () (not @t68))
% 45.84/46.11  (define @t265 () (or @t264 @t264 @t246 @t230 @t263 @t244))
% 45.84/46.11  (define @t266 () (@list @t64))
% 45.84/46.11  (define @t267 () (or @t264 @t246 @t230 @t263 @t244))
% 45.84/46.11  (define @t268 () (forall @t266 @t267))
% 45.84/46.11  (define @t269 () (forall @t255 @t268))
% 45.84/46.11  (define @t270 () (forall (@list @t61 @t62 @t64) @t267))
% 45.84/46.11  (define @t271 () (not @t263))
% 45.84/46.11  (define @t272 () (not @t271))
% 45.84/46.11  (define @t273 () (or @t264 @t246 @t230 @t272 @t244))
% 45.84/46.11  (define @t274 () (and @t68 @t245 @t66 @t271 @t243))
% 45.84/46.11  (define @t275 () (forall @t70 (not @t274)))
% 45.84/46.11  (define @t276 () (not @t275))
% 45.84/46.11  (define @t277 () (>= @t64 @t256))
% 45.84/46.11  (define @t278 () (or @t149 @t165))
% 45.84/46.11  (define @t279 () (not @t75))
% 45.84/46.11  (define @t280 () (or @t152 @t152 @t279))
% 45.84/46.11  (define @t281 () (or @t152 @t279))
% 45.84/46.11  (define @t282 () (forall @t77 (not @t76)))
% 45.84/46.11  (define @t283 () (not @t282))
% 45.84/46.11  (define @t284 () (or @t129 @t172))
% 45.84/46.11  (define @t285 () (tptp.in_building_p @t35 @t30))
% 45.84/46.11  (define @t286 () (or @t205 @t205 @t285))
% 45.84/46.11  (define @t287 () (or @t205 @t285))
% 45.84/46.11  (define @t288 () (or @t149 @t205 @t285))
% 45.84/46.11  (define @t289 () (or @t152 @t152 @t205 @t79))
% 45.84/46.11  (define @t290 () (or @t152 @t205 @t79))
% 45.84/46.11  (define @t291 () (forall @t77 @t290))
% 45.84/46.11  (define @t292 () (forall @t142 @t291))
% 45.84/46.11  (define @t293 () (@list @t30 @t28))
% 45.84/46.11  (define @t294 () (forall @t293 @t290))
% 45.84/46.11  (define @t295 () (not @t80))
% 45.84/46.11  (define @t296 () (or @t152 @t205 @t295))
% 45.84/46.11  (define @t297 () (and @t36 @t204 @t80))
% 45.84/46.11  (define @t298 () (forall @t60 (not @t297)))
% 45.84/46.11  (define @t299 () (not @t298))
% 45.84/46.11  (define @t300 () (@var "BOUND_VARIABLE_8405" Int))
% 45.84/46.11  (define @t301 () (not (>= (+ tptp.h_i (* -1 @t300)) 0)))
% 45.84/46.11  (define @t302 () (not (>= @t300 0)))
% 45.84/46.11  (define @t303 () (tptp.f__integer__ @t300))
% 45.84/46.11  (define @t304 () (tptp.in_building @t35 @t303))
% 45.84/46.11  (define @t305 () (or @t304 @t165 @t302 @t301))
% 45.84/46.11  (define @t306 () (@list @t35 @t300))
% 45.84/46.11  (define @t307 () (forall @t306 @t305))
% 45.84/46.11  (define @t308 () (@quantifiers_skolemize @t307 1))
% 45.84/46.11  (define @t309 () (@quantifiers_skolemize @t307 0))
% 45.84/46.11  (define @t310 () (not (= @t303 @t303)))
% 45.84/46.11  (define @t311 () (or @t304 @t165 @t310 @t302 @t301))
% 45.84/46.11  (define @t312 () (not (= @t31 @t303)))
% 45.84/46.11  (define @t313 () (tptp.in_building @t35 @t31))
% 45.84/46.11  (define @t314 () (or @t312 @t313 @t165 @t312 @t302 @t301))
% 45.84/46.11  (define @t315 () (or @t313 @t165 @t312 @t302 @t301))
% 45.84/46.11  (define @t316 () (forall @t108 @t315))
% 45.84/46.11  (define @t317 () (forall @t306 @t316))
% 45.84/46.11  (define @t318 () (forall (@list @t35 @t300 @t31) @t315))
% 45.84/46.11  (define @t319 () (@list @t35 @t31 @t300))
% 45.84/46.11  (define @t320 () (or @t312 @t302 @t301))
% 45.84/46.11  (define @t321 () (or @t313 @t165 @t320))
% 45.84/46.11  (define @t322 () (forall @t319 @t321))
% 45.84/46.11  (define @t323 () (@list @t300))
% 45.84/46.11  (define @t324 () (forall @t323 @t321))
% 45.84/46.11  (define @t325 () (forall @t323 @t320))
% 45.84/46.11  (define @t326 () (or @t313 @t165 @t325))
% 45.84/46.11  (define @t327 () (not @t313))
% 45.84/46.11  (define @t328 () (not @t327))
% 45.84/46.11  (define @t329 () (or @t328 @t165 @t196))
% 45.84/46.11  (define @t330 () (or @t129 @t313))
% 45.84/46.11  (define @t331 () (tptp.in_building @t35 @t30))
% 45.84/46.11  (define @t332 () (or @t205 @t205 @t331))
% 45.84/46.11  (define @t333 () (or @t205 @t331))
% 45.84/46.11  (define @t334 () (or @t149 @t205 @t331))
% 45.84/46.11  (define @t335 () (or @t152 @t152 @t205 @t94))
% 45.84/46.11  (define @t336 () (or @t152 @t205 @t94))
% 45.84/46.11  (define @t337 () (forall @t77 @t336))
% 45.84/46.11  (define @t338 () (forall @t142 @t337))
% 45.84/46.11  (define @t339 () (forall @t293 @t336))
% 45.84/46.11  (define @t340 () (not @t95))
% 45.84/46.11  (define @t341 () (or @t152 @t205 @t340))
% 45.84/46.11  (define @t342 () (and @t36 @t204 @t95))
% 45.84/46.11  (define @t343 () (forall @t60 (not @t342)))
% 45.84/46.11  (define @t344 () (not @t343))
% 45.84/46.11  (define @t345 () (>= (+ tptp.h_i (* -1 @t308)) 0))
% 45.84/46.11  (define @t346 () (not @t345))
% 45.84/46.11  (define @t347 () (>= @t308 0))
% 45.84/46.11  (define @t348 () (not @t347))
% 45.84/46.11  (define @t349 () (tptp.person @t309))
% 45.84/46.11  (define @t350 () (not @t349))
% 45.84/46.11  (define @t351 () (tptp.f__integer__ @t308))
% 45.84/46.11  (define @t352 () (tptp.in_building @t309 @t351))
% 45.84/46.11  (define @t353 () (or @t352 @t350 @t348 @t346))
% 45.84/46.11  (define @t354 () (@list true))
% 45.84/46.11  (define @t355 () (@list @t353))
% 45.84/46.11  (define @t356 () (tptp.in_building_p @t309 @t351))
% 45.84/46.11  (define @t357 () (or @t356 @t350 @t348 @t346))
% 45.84/46.11  (define @t358 () (@list @t309 @t351))
% 45.84/46.11  (define @t359 () (forall @t102 (not (tptp.in @t309 @t33 @t351))))
% 45.84/46.11  (define @t360 () (not @t359))
% 45.84/46.11  (define @t361 () (= @t352 @t360))
% 45.84/46.11  (define @t362 () (not @t361))
% 45.84/46.11  (define @t363 () (@list true false))
% 45.84/46.11  (define @t364 () (= @t360 @t356))
% 45.84/46.11  (define @t365 () (not @t364))
% 45.84/46.11  (define @t366 () (forall @t44 (= @t53 @t103)))
% 45.84/46.11  (define @t367 () (= @t356 @t360))
% 45.84/46.11  (assume @p1 (forall @t6 (= @t5 (exists @t4 (= @t3 @t2)))))
% 45.84/46.11  (assume @p2 (forall (@list @t8) (= (tptp.p__is_symbolic__ @t8) (exists (@list @t7) (= @t8 (tptp.f__symbolic__ @t7))))))
% 45.84/46.11  (assume @p3 (forall @t6 (or (= @t3 tptp.c__infimum__) @t5 (tptp.p__is_symbolic__ @t3) (= @t3 tptp.c__supremum__))))
% 45.84/46.11  (assume @p4 (forall @t13 (= (= @t12 @t11) (= @t10 @t9))))
% 45.84/46.11  (assume @p5 (forall (@list @t15 @t14) (= (= (tptp.f__symbolic__ @t15) (tptp.f__symbolic__ @t14)) (= @t15 @t14))))
% 45.84/46.11  (assume @p6 (forall @t13 (= (tptp.p__less_equal__ @t12 @t11) (<= @t10 @t9))))
% 45.84/46.11  (assume @p7 (forall @t20 (=> (and @t19 @t18) @t17)))
% 45.84/46.11  (assume @p8 (forall (@list @t8 @t16 @t21) (=> (and @t19 (tptp.p__less_equal__ @t16 @t21)) (tptp.p__less_equal__ @t8 @t21))))
% 45.84/46.11  (assume @p9 (forall @t20 (or @t19 @t18)))
% 45.84/46.11  (assume @p10 (forall @t20 (= (tptp.p__less__ @t8 @t16) (and @t19 @t22))))
% 45.84/46.11  (assume @p11 (forall @t20 (= (tptp.p__greater_equal__ @t8 @t16) @t18)))
% 45.84/46.11  (assume @p12 (forall @t20 (= (tptp.p__greater__ @t8 @t16) (and @t18 @t22))))
% 45.84/46.11  (assume @p13 (forall @t4 (tptp.p__less__ tptp.c__infimum__ @t2)))
% 45.84/46.11  (assume @p14 (forall (@list @t1 @t23) (tptp.p__less__ @t2 @t24)))
% 45.84/46.11  (assume @p15 (forall (@list @t23) (tptp.p__less__ @t24 tptp.c__supremum__)))
% 45.84/46.11  (assume @p16 (>= tptp.h_i 0))
% 45.84/46.11  (assume @p17 (forall (@list @t25 @t27) (=> (tptp.in0 @t25 @t27) @t26)))
% 45.84/46.11  (assume @p18 (forall (@list @t25 @t27 @t28) (=> (tptp.goto @t25 @t27 @t28) @t26)))
% 45.84/46.11  (assume @p19 (forall @t44 (= (tptp.go @t41 @t39) (exists @t43 (and @t42 @t40 @t38)))))
% 45.84/46.11  (assume @p20 @t52)
% 45.84/46.11  (assume @p21 @t54)
% 45.84/46.11  (assume @p22 (forall (@list @t35 @t59 @t31 @t57) (=> (and (exists @t37 (and @t36 (= @t30 @t59) @t32 @t45)) (exists @t37 (and @t36 @t58 @t32 @t45)) (exists @t60 (and (= @t28 @t59) @t58 @t56))) false)))
% 45.84/46.11  (assume @p23 @t86)
% 45.84/46.11  (assume @p24 (forall (@list @t41 @t39 @t87) (= @t88 (or (exists (@list @t35 @t33) (and @t42 @t91 (= @t87 (tptp.f__integer__ 0)) (exists @t60 (and @t36 @t34 (tptp.in0 @t28 @t30))))) (exists @t92 (and @t42 @t91 @t90 @t38)) (exists @t92 (and @t42 @t91 @t90 @t47 (exists @t60 (and @t72 (exists @t70 (and @t68 (exists (@list @t64 @t89) (and (= @t61 (- @t64 @t89)) (= @t64 tptp.h_i) (= @t89 1))) @t66 @t65 @t63)) @t55)) (not (not @t88))))))))
% 45.84/46.11  (assume @p25 (forall (@list @t93 @t25 @t27) (=> (>= @t93 0) (=> (tptp.in @t25 @t27 (tptp.f__integer__ @t93)) @t26))))
% 45.84/46.11  (assume @p26 @t100)
% 45.84/46.11  (assume @p27 true)
% 45.84/46.11  (step @p28 :rule eq-symm :args (@t103 @t53))
% 45.84/46.11  (step @p29 :rule refl :args (@t53))
% 45.84/46.11  (step @p30 :rule aci_norm :args ((= (or false @t101) @t101)))
% 45.84/46.11  (step @p31 :rule refl :args (@t101))
% 45.84/46.11  (step @p32 :rule evaluate :args ((not true)))
% 45.84/46.11  (step @p33 :rule eq-refl :args (@t39))
% 45.84/46.11  (step @p34 :rule cong :premises (@p33) :args (@t104))
% 45.84/46.11  (step @p35 :rule trans :premises (@p34 @p32))
% 45.84/46.11  (step @p36 :rule nary_cong :premises (@p35 @p31) :args (@t105))
% 45.84/46.11  (step @p37 :rule trans :premises (@p36 @p30))
% 45.84/46.11  (step @p38 :rule cong :premises (@p37) :args ((forall @t102 @t105)))
% 45.84/46.11  (step @p39 :rule quant-var-elim-eq :args ((= (forall @t108 (or (not (= @t31 @t39)) @t107 @t106)) @t105)))
% 45.84/46.11  (step @p40 :rule refl :args (@t106))
% 45.84/46.11  (step @p41 :rule refl :args (@t107))
% 45.84/46.11  (step @p42 :rule eq-symm :args (@t39 @t31))
% 45.84/46.11  (step @p43 :rule cong :premises (@p42) :args (@t107))
% 45.84/46.11  (step @p44 :rule nary_cong :premises (@p43 @p41 @p40) :args (@t109))
% 45.84/46.11  (step @p45 :rule aci_norm :args ((= @t110 @t109)))
% 45.84/46.11  (step @p46 :rule trans :premises (@p45 @p44))
% 45.84/46.11  (step @p47 :rule cong :premises (@p46) :args (@t111))
% 45.84/46.11  (step @p48 :rule trans :premises (@p47 @p39))
% 45.84/46.11  (step @p49 :rule cong :premises (@p48) :args (@t112))
% 45.84/46.11  (step @p50 :rule quant-merge-prenex :args ((= @t112 @t113)))
% 45.84/46.11  (step @p51 :rule symm :premises (@p50))
% 45.84/46.11  (step @p52 :rule quant_var_reordering :args ((= (forall @t114 @t110) @t113)))
% 45.84/46.11  (step @p53 :rule trans :premises (@p52 @p51 @p49))
% 45.84/46.11  (step @p54 :rule trans :premises (@p53 @p38))
% 45.84/46.11  (step @p55 :rule aci_norm :args ((= (or false @t107 @t106) @t110)))
% 45.84/46.11  (step @p56 :rule refl :args (@t106))
% 45.84/46.11  (step @p57 :rule refl :args (@t107))
% 45.84/46.11  (step @p58 :rule eq-refl :args (@t41))
% 45.84/46.11  (step @p59 :rule cong :premises (@p58) :args (@t115))
% 45.84/46.11  (step @p60 :rule trans :premises (@p59 @p32))
% 45.84/46.11  (step @p61 :rule nary_cong :premises (@p60 @p57 @p56) :args (@t116))
% 45.84/46.11  (step @p62 :rule trans :premises (@p61 @p55))
% 45.84/46.11  (step @p63 :rule cong :premises (@p62) :args ((forall @t114 @t116)))
% 45.84/46.11  (step @p64 :rule trans :premises (@p63 @p54))
% 45.84/46.11  (step @p65 :rule quant-var-elim-eq :args ((= (forall @t120 (or (not (= @t35 @t41)) @t119 @t107 @t118)) @t116)))
% 45.84/46.11  (step @p66 :rule refl :args (@t118))
% 45.84/46.11  (step @p67 :rule refl :args (@t119))
% 45.84/46.11  (step @p68 :rule eq-symm :args (@t41 @t35))
% 45.84/46.11  (step @p69 :rule cong :premises (@p68) :args (@t119))
% 45.84/46.11  (step @p70 :rule nary_cong :premises (@p69 @p67 @p41 @p66) :args (@t121))
% 45.84/46.11  (step @p71 :rule aci_norm :args ((= @t122 @t121)))
% 45.84/46.11  (step @p72 :rule trans :premises (@p71 @p70))
% 45.84/46.11  (step @p73 :rule cong :premises (@p72) :args (@t123))
% 45.84/46.11  (step @p74 :rule trans :premises (@p73 @p65))
% 45.84/46.11  (step @p75 :rule cong :premises (@p74) :args (@t124))
% 45.84/46.11  (step @p76 :rule quant-merge-prenex :args ((= @t124 @t125)))
% 45.84/46.11  (step @p77 :rule symm :premises (@p76))
% 45.84/46.11  (step @p78 :rule quant_var_reordering :args ((= (forall @t43 @t122) @t125)))
% 45.84/46.11  (step @p79 :rule trans :premises (@p78 @p77 @p75))
% 45.84/46.11  (step @p80 :rule trans :premises (@p79 @p64))
% 45.84/46.11  (step @p81 :rule aci_norm :args ((= (or @t119 (or @t107 @t118)) @t122)))
% 45.84/46.11  (step @p82 :rule bool-and-de-morgan :args (@t40 @t117 true))
% 45.84/46.11  (step @p83 :rule nary_cong :premises (@p67 @p82) :args ((or @t119 (not (and @t40 @t117)))))
% 45.84/46.11  (step @p84 :rule bool-and-de-morgan :args (@t42 @t40 (and @t117)))
% 45.84/46.11  (step @p85 :rule trans :premises (@p84 @p83))
% 45.84/46.11  (step @p86 :rule trans :premises (@p85 @p81))
% 45.84/46.11  (step @p87 :rule cong :premises (@p86) :args (@t127))
% 45.84/46.11  (step @p88 :rule trans :premises (@p87 @p80))
% 45.84/46.11  (step @p89 :rule cong :premises (@p88) :args (@t128))
% 45.84/46.11  (step @p90 :rule exists-elim :args ((= (exists @t43 @t126) @t128)))
% 45.84/46.11  (step @p91 :rule trans :premises (@p90 @p89))
% 45.84/46.11  (step @p92 :rule bool-double-not-elim :args (@t117))
% 45.84/46.11  (step @p93 :rule aci_norm :args ((= (or false @t118) @t118)))
% 45.84/46.11  (step @p94 :rule refl :args (@t118))
% 45.84/46.11  (step @p95 :rule eq-refl :args (@t31))
% 45.84/46.11  (step @p96 :rule cong :premises (@p95) :args (@t129))
% 45.84/46.11  (step @p97 :rule trans :premises (@p96 @p32))
% 45.84/46.11  (step @p98 :rule nary_cong :premises (@p97 @p94) :args (@t130))
% 45.84/46.11  (step @p99 :rule trans :premises (@p98 @p93))
% 45.84/46.11  (step @p100 :rule quant-var-elim-eq :args ((= (forall @t134 (or (not @t32) @t133 @t131)) @t130)))
% 45.84/46.11  (step @p101 :rule refl :args (@t131))
% 45.84/46.11  (step @p102 :rule refl :args (@t133))
% 45.84/46.11  (step @p103 :rule eq-symm :args (@t31 @t29))
% 45.84/46.11  (step @p104 :rule cong :premises (@p103) :args (@t133))
% 45.84/46.11  (step @p105 :rule nary_cong :premises (@p104 @p102 @p101) :args (@t135))
% 45.84/46.11  (step @p106 :rule aci_norm :args ((= @t136 @t135)))
% 45.84/46.11  (step @p107 :rule trans :premises (@p106 @p105))
% 45.84/46.11  (step @p108 :rule cong :premises (@p107) :args ((forall @t134 @t136)))
% 45.84/46.11  (step @p109 :rule trans :premises (@p108 @p100))
% 45.84/46.11  (step @p110 :rule trans :premises (@p109 @p99))
% 45.84/46.11  (step @p111 :rule aci_norm :args ((= (or false @t133 @t131) @t136)))
% 45.84/46.11  (step @p112 :rule refl :args (@t131))
% 45.84/46.11  (step @p113 :rule refl :args (@t133))
% 45.84/46.11  (step @p114 :rule eq-refl :args (@t33))
% 45.84/46.11  (step @p115 :rule cong :premises (@p114) :args (@t137))
% 45.84/46.11  (step @p116 :rule trans :premises (@p115 @p32))
% 45.84/46.11  (step @p117 :rule nary_cong :premises (@p116 @p113 @p112) :args (@t138))
% 45.84/46.11  (step @p118 :rule trans :premises (@p117 @p111))
% 45.84/46.11  (step @p119 :rule cong :premises (@p118) :args ((forall @t134 @t138)))
% 45.84/46.11  (step @p120 :rule trans :premises (@p119 @p110))
% 45.84/46.11  (step @p121 :rule quant-var-elim-eq :args ((= (forall @t142 (or (not @t34) @t141 @t133 @t139)) @t138)))
% 45.84/46.11  (step @p122 :rule refl :args (@t139))
% 45.84/46.11  (step @p123 :rule refl :args (@t141))
% 45.84/46.11  (step @p124 :rule eq-symm :args (@t33 @t30))
% 45.84/46.11  (step @p125 :rule cong :premises (@p124) :args (@t141))
% 45.84/46.11  (step @p126 :rule nary_cong :premises (@p125 @p123 @p102 @p122) :args (@t143))
% 45.84/46.11  (step @p127 :rule aci_norm :args ((= @t144 @t143)))
% 45.84/46.11  (step @p128 :rule trans :premises (@p127 @p126))
% 45.84/46.11  (step @p129 :rule cong :premises (@p128) :args (@t145))
% 45.84/46.11  (step @p130 :rule trans :premises (@p129 @p121))
% 45.84/46.11  (step @p131 :rule cong :premises (@p130) :args (@t146))
% 45.84/46.11  (step @p132 :rule quant-merge-prenex :args ((= @t146 @t147)))
% 45.84/46.11  (step @p133 :rule symm :premises (@p132))
% 45.84/46.11  (step @p134 :rule quant_var_reordering :args ((= (forall @t148 @t144) @t147)))
% 45.84/46.11  (step @p135 :rule trans :premises (@p134 @p133 @p131))
% 45.84/46.11  (step @p136 :rule trans :premises (@p135 @p120))
% 45.84/46.11  (step @p137 :rule aci_norm :args ((= (or false @t141 @t133 @t139) @t144)))
% 45.84/46.11  (step @p138 :rule refl :args (@t139))
% 45.84/46.11  (step @p139 :rule refl :args (@t141))
% 45.84/46.11  (step @p140 :rule eq-refl :args (@t35))
% 45.84/46.11  (step @p141 :rule cong :premises (@p140) :args (@t149))
% 45.84/46.11  (step @p142 :rule trans :premises (@p141 @p32))
% 45.84/46.11  (step @p143 :rule nary_cong :premises (@p142 @p139 @p113 @p138) :args (@t150))
% 45.84/46.11  (step @p144 :rule trans :premises (@p143 @p137))
% 45.84/46.11  (step @p145 :rule cong :premises (@p144) :args ((forall @t148 @t150)))
% 45.84/46.11  (step @p146 :rule trans :premises (@p145 @p136))
% 45.84/46.11  (step @p147 :rule quant-var-elim-eq :args ((= (forall @t77 @t153) @t150)))
% 45.84/46.11  (step @p148 :rule aci_norm :args ((= @t154 @t153)))
% 45.84/46.11  (step @p149 :rule cong :premises (@p148) :args (@t155))
% 45.84/46.11  (step @p150 :rule trans :premises (@p149 @p147))
% 45.84/46.11  (step @p151 :rule cong :premises (@p150) :args (@t156))
% 45.84/46.11  (step @p152 :rule quant-merge-prenex :args ((= @t156 @t157)))
% 45.84/46.11  (step @p153 :rule symm :premises (@p152))
% 45.84/46.11  (step @p154 :rule quant_var_reordering :args ((= (forall @t37 @t154) @t157)))
% 45.84/46.11  (step @p155 :rule trans :premises (@p154 @p153 @p151))
% 45.84/46.11  (step @p156 :rule trans :premises (@p155 @p146))
% 45.84/46.11  (step @p157 :rule aci_norm :args ((= (or @t152 (or @t141 (or @t133 @t151))) @t154)))
% 45.84/46.11  (step @p158 :rule bool-and-de-morgan :args (@t132 @t45 true))
% 45.84/46.11  (step @p159 :rule nary_cong :premises (@p123 @p158) :args ((or @t141 (not (and @t132 @t45)))))
% 45.84/46.11  (step @p160 :rule bool-and-de-morgan :args (@t140 @t132 (and @t45)))
% 45.84/46.11  (step @p161 :rule trans :premises (@p160 @p159))
% 45.84/46.11  (step @p162 :rule refl :args (@t152))
% 45.84/46.11  (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t152 (not (and @t140 @t132 @t45)))))
% 45.84/46.11  (step @p164 :rule bool-and-de-morgan :args (@t36 @t140 (and @t132 @t45)))
% 45.84/46.11  (step @p165 :rule trans :premises (@p164 @p163))
% 45.84/46.11  (step @p166 :rule trans :premises (@p165 @p157))
% 45.84/46.11  (step @p167 :rule cong :premises (@p166) :args (@t159))
% 45.84/46.11  (step @p168 :rule trans :premises (@p167 @p156))
% 45.84/46.11  (step @p169 :rule cong :premises (@p168) :args (@t160))
% 45.84/46.11  (step @p170 :rule trans :premises (@p169 @p92))
% 45.84/46.11  (step @p171 :rule exists-elim :args ((= (exists @t37 @t158) @t160)))
% 45.84/46.11  (step @p172 :rule trans :premises (@p171 @p170))
% 45.84/46.11  (step @p173 :rule refl :args (@t45))
% 45.84/46.11  (step @p174 :rule eq-symm :args (@t29 @t31))
% 45.84/46.11  (step @p175 :rule eq-symm :args (@t30 @t33))
% 45.84/46.11  (step @p176 :rule refl :args (@t36))
% 45.84/46.11  (step @p177 :rule nary_cong :premises (@p176 @p175 @p174 @p173) :args (@t46))
% 45.84/46.11  (step @p178 :rule cong :premises (@p177) :args (@t47))
% 45.84/46.11  (step @p179 :rule trans :premises (@p178 @p172))
% 45.84/46.11  (step @p180 :rule refl :args (@t40))
% 45.84/46.11  (step @p181 :rule refl :args (@t42))
% 45.84/46.11  (step @p182 :rule nary_cong :premises (@p181 @p180 @p179) :args (@t48))
% 45.84/46.11  (step @p183 :rule cong :premises (@p182) :args (@t49))
% 45.84/46.11  (step @p184 :rule trans :premises (@p183 @p91))
% 45.84/46.11  (step @p185 :rule cong :premises (@p184 @p29) :args ((= @t49 @t53)))
% 45.84/46.11  (step @p186 :rule trans :premises (@p185 @p28))
% 45.84/46.11  (step @p187 :rule eq-symm :args (@t53 @t49))
% 45.84/46.11  (step @p188 :rule trans :premises (@p187 @p186))
% 45.84/46.11  (step @p189 :rule cong :premises (@p188) :args (@t54))
% 45.84/46.11  (step @p190 :rule eq_resolve :premises (@p21 @p189))
% 45.84/46.11  (step @p191 :rule aci_norm :args ((= (or @t167 @t165 false @t163 @t162) (or @t167 @t165 @t163 @t162))))
% 45.84/46.11  (step @p192 :rule refl :args (@t162))
% 45.84/46.11  (step @p193 :rule refl :args (@t163))
% 45.84/46.11  (step @p194 :rule eq-refl :args (@t166))
% 45.84/46.11  (step @p195 :rule cong :premises (@p194) :args (@t168))
% 45.84/46.11  (step @p196 :rule trans :premises (@p195 @p32))
% 45.84/46.11  (step @p197 :rule refl :args (@t165))
% 45.84/46.11  (step @p198 :rule refl :args (@t167))
% 45.84/46.11  (step @p199 :rule nary_cong :premises (@p198 @p197 @p196 @p193 @p192) :args (@t169))
% 45.84/46.11  (step @p200 :rule trans :premises (@p199 @p191))
% 45.84/46.11  (step @p201 :rule cong :premises (@p200) :args ((forall @t170 @t169)))
% 45.84/46.11  (step @p202 :rule quant-var-elim-eq :args ((= (forall @t108 @t173) @t169)))
% 45.84/46.11  (step @p203 :rule aci_norm :args ((= @t174 @t173)))
% 45.84/46.11  (step @p204 :rule cong :premises (@p203) :args (@t175))
% 45.84/46.11  (step @p205 :rule trans :premises (@p204 @p202))
% 45.84/46.11  (step @p206 :rule cong :premises (@p205) :args (@t176))
% 45.84/46.11  (step @p207 :rule quant-merge-prenex :args ((= @t176 @t177)))
% 45.84/46.11  (step @p208 :rule symm :premises (@p207))
% 45.84/46.11  (step @p209 :rule quant_var_reordering :args ((= (forall @t178 @t174) @t177)))
% 45.84/46.11  (step @p210 :rule trans :premises (@p209 @p208 @p206))
% 45.84/46.11  (step @p211 :rule trans :premises (@p210 @p201))
% 45.84/46.11  (step @p212 :rule aci_norm :args ((= @t180 @t174)))
% 45.84/46.11  (step @p213 :rule cong :premises (@p212) :args (@t181))
% 45.84/46.11  (step @p214 :rule trans :premises (@p213 @p211))
% 45.84/46.11  (step @p215 :rule quant-merge-prenex :args ((= (forall @t85 @t183) @t181)))
% 45.84/46.11  (step @p216 :rule alpha_equiv :args (@t184 (@list @t161) @t186))
% 45.84/46.11  (step @p217 :rule refl :args (@t165))
% 45.84/46.11  (step @p218 :rule refl :args (@t172))
% 45.84/46.11  (step @p219 :rule nary_cong :premises (@p218 @p217 @p216) :args (@t187))
% 45.84/46.11  (step @p220 :rule quant-miniscope-or :args ((= @t183 @t187)))
% 45.84/46.11  (step @p221 :rule trans :premises (@p220 @p219))
% 45.84/46.11  (step @p222 :rule symm :premises (@p221))
% 45.84/46.11  (step @p223 :rule cong :premises (@p222) :args ((forall @t85 (or @t172 @t165 @t194))))
% 45.84/46.11  (step @p224 :rule trans :premises (@p223 @p215))
% 45.84/46.11  (step @p225 :rule trans :premises (@p224 @p214))
% 45.84/46.11  (step @p226 :rule bool-double-not-elim :args (@t194))
% 45.84/46.11  (step @p227 :rule bool-double-not-elim :args (@t172))
% 45.84/46.11  (step @p228 :rule nary_cong :premises (@p227 @p217 @p226) :args (@t199))
% 45.84/46.11  (step @p229 :rule aci_norm :args ((= (or @t198 @t200) @t199)))
% 45.84/46.11  (step @p230 :rule trans :premises (@p229 @p228))
% 45.84/46.11  (step @p231 :rule bool-and-de-morgan :args (@t164 @t195 true))
% 45.84/46.11  (step @p232 :rule refl :args (@t198))
% 45.84/46.11  (step @p233 :rule nary_cong :premises (@p232 @p231) :args ((or @t198 @t201)))
% 45.84/46.11  (step @p234 :rule bool-and-de-morgan :args (@t197 @t164 (and @t195)))
% 45.84/46.11  (step @p235 :rule trans :premises (@p234 @p233))
% 45.84/46.11  (step @p236 :rule trans :premises (@p235 @p230))
% 45.84/46.11  (step @p237 :rule cong :premises (@p236) :args ((forall @t85 (not (and @t197 @t164 @t195)))))
% 45.84/46.11  (step @p238 :rule trans :premises (@p237 @p225))
% 45.84/46.11  (step @p239 :rule aci_norm :args ((= (or false @t191 @t189 @t188) @t192)))
% 45.84/46.11  (step @p240 :rule refl :args (@t188))
% 45.84/46.11  (step @p241 :rule refl :args (@t189))
% 45.84/46.11  (step @p242 :rule refl :args (@t191))
% 45.84/46.11  (step @p243 :rule nary_cong :premises (@p97 @p242 @p241 @p240) :args (@t202))
% 45.84/46.11  (step @p244 :rule trans :premises (@p243 @p239))
% 45.84/46.11  (step @p245 :rule cong :premises (@p244) :args ((forall @t193 @t202)))
% 45.84/46.11  (step @p246 :rule quant-var-elim-eq :args ((= (forall @t142 (or @t206 @t205 @t203 @t189 @t188)) @t202)))
% 45.84/46.11  (step @p247 :rule refl :args (@t188))
% 45.84/46.11  (step @p248 :rule refl :args (@t189))
% 45.84/46.11  (step @p249 :rule refl :args (@t203))
% 45.84/46.11  (step @p250 :rule refl :args (@t205))
% 45.84/46.11  (step @p251 :rule eq-symm :args (@t31 @t30))
% 45.84/46.11  (step @p252 :rule cong :premises (@p251) :args (@t205))
% 45.84/46.11  (step @p253 :rule nary_cong :premises (@p252 @p250 @p249 @p248 @p247) :args (@t207))
% 45.84/46.11  (step @p254 :rule aci_norm :args ((= @t208 @t207)))
% 45.84/46.11  (step @p255 :rule trans :premises (@p254 @p253))
% 45.84/46.11  (step @p256 :rule cong :premises (@p255) :args (@t209))
% 45.84/46.11  (step @p257 :rule trans :premises (@p256 @p246))
% 45.84/46.11  (step @p258 :rule cong :premises (@p257) :args (@t210))
% 45.84/46.11  (step @p259 :rule quant-merge-prenex :args ((= @t210 @t211)))
% 45.84/46.11  (step @p260 :rule symm :premises (@p259))
% 45.84/46.11  (step @p261 :rule quant_var_reordering :args ((= (forall @t212 @t208) @t211)))
% 45.84/46.11  (step @p262 :rule trans :premises (@p261 @p260 @p258))
% 45.84/46.11  (step @p263 :rule trans :premises (@p262 @p245))
% 45.84/46.11  (step @p264 :rule aci_norm :args ((= (or false @t205 @t203 @t189 @t188) @t208)))
% 45.84/46.11  (step @p265 :rule refl :args (@t203))
% 45.84/46.11  (step @p266 :rule refl :args (@t205))
% 45.84/46.11  (step @p267 :rule nary_cong :premises (@p97 @p266 @p265 @p241 @p240) :args (@t213))
% 45.84/46.11  (step @p268 :rule trans :premises (@p267 @p264))
% 45.84/46.11  (step @p269 :rule cong :premises (@p268) :args ((forall @t212 @t213)))
% 45.84/46.11  (step @p270 :rule trans :premises (@p269 @p263))
% 45.84/46.11  (step @p271 :rule quant-var-elim-eq :args ((= (forall @t77 @t215) @t213)))
% 45.84/46.11  (step @p272 :rule aci_norm :args ((= @t216 @t215)))
% 45.84/46.11  (step @p273 :rule cong :premises (@p272) :args (@t217))
% 45.84/46.11  (step @p274 :rule trans :premises (@p273 @p271))
% 45.84/46.11  (step @p275 :rule cong :premises (@p274) :args (@t218))
% 45.84/46.11  (step @p276 :rule quant-merge-prenex :args ((= @t218 @t219)))
% 45.84/46.11  (step @p277 :rule symm :premises (@p276))
% 45.84/46.11  (step @p278 :rule quant_var_reordering :args ((= (forall @t220 @t216) @t219)))
% 45.84/46.11  (step @p279 :rule trans :premises (@p278 @p277 @p275))
% 45.84/46.11  (step @p280 :rule trans :premises (@p279 @p270))
% 45.84/46.11  (step @p281 :rule aci_norm :args ((= @t222 @t216)))
% 45.84/46.11  (step @p282 :rule cong :premises (@p281) :args (@t223))
% 45.84/46.11  (step @p283 :rule trans :premises (@p282 @p280))
% 45.84/46.11  (step @p284 :rule quant-merge-prenex :args ((= (forall @t60 @t224) @t223)))
% 45.84/46.11  (step @p285 :rule refl :args (@t56))
% 45.84/46.11  (step @p286 :rule alpha_equiv :args (@t225 @t186 (@list @t62)))
% 45.84/46.11  (step @p287 :rule refl :args (@t214))
% 45.84/46.11  (step @p288 :rule nary_cong :premises (@p287 @p286 @p285) :args (@t226))
% 45.84/46.11  (step @p289 :rule quant-miniscope-or :args ((= @t224 @t226)))
% 45.84/46.11  (step @p290 :rule trans :premises (@p289 @p288))
% 45.84/46.11  (step @p291 :rule symm :premises (@p290))
% 45.84/46.11  (step @p292 :rule cong :premises (@p291) :args ((forall @t60 (or @t214 @t233 @t56))))
% 45.84/46.11  (step @p293 :rule trans :premises (@p292 @p284))
% 45.84/46.11  (step @p294 :rule trans :premises (@p293 @p283))
% 45.84/46.11  (step @p295 :rule bool-double-not-elim :args (@t233))
% 45.84/46.11  (step @p296 :rule nary_cong :premises (@p287 @p295 @p285) :args (@t236))
% 45.84/46.11  (step @p297 :rule aci_norm :args ((= (or @t214 (or @t235 @t56)) @t236)))
% 45.84/46.11  (step @p298 :rule trans :premises (@p297 @p296))
% 45.84/46.11  (step @p299 :rule bool-and-de-morgan :args (@t234 @t55 true))
% 45.84/46.11  (step @p300 :rule nary_cong :premises (@p287 @p299) :args ((or @t214 (not (and @t234 @t55)))))
% 45.84/46.11  (step @p301 :rule bool-and-de-morgan :args (@t72 @t234 (and @t55)))
% 45.84/46.11  (step @p302 :rule trans :premises (@p301 @p300))
% 45.84/46.11  (step @p303 :rule trans :premises (@p302 @p298))
% 45.84/46.11  (step @p304 :rule cong :premises (@p303) :args (@t238))
% 45.84/46.11  (step @p305 :rule trans :premises (@p304 @p294))
% 45.84/46.11  (step @p306 :rule cong :premises (@p305) :args (@t239))
% 45.84/46.11  (step @p307 :rule exists-elim :args ((= (exists @t60 @t237) @t239)))
% 45.84/46.11  (step @p308 :rule trans :premises (@p307 @p306))
% 45.84/46.11  (step @p309 :rule refl :args (@t55))
% 45.84/46.11  (step @p310 :rule aci_norm :args ((= (or false @t230 @t229 @t228) @t231)))
% 45.84/46.11  (step @p311 :rule refl :args (@t228))
% 45.84/46.11  (step @p312 :rule refl :args (@t229))
% 45.84/46.11  (step @p313 :rule refl :args (@t230))
% 45.84/46.11  (step @p314 :rule eq-refl :args (tptp.h_i))
% 45.84/46.11  (step @p315 :rule cong :premises (@p314) :args (@t240))
% 45.84/46.11  (step @p316 :rule trans :premises (@p315 @p32))
% 45.84/46.11  (step @p317 :rule nary_cong :premises (@p316 @p313 @p312 @p311) :args (@t241))
% 45.84/46.11  (step @p318 :rule trans :premises (@p317 @p310))
% 45.84/46.11  (step @p319 :rule cong :premises (@p318) :args ((forall @t232 @t241)))
% 45.84/46.11  (step @p320 :rule quant-var-elim-eq :args ((= (forall @t247 (or (not @t67) @t246 @t230 @t229 @t244)) @t241)))
% 45.84/46.11  (step @p321 :rule refl :args (@t244))
% 45.84/46.11  (step @p322 :rule refl :args (@t229))
% 45.84/46.11  (step @p323 :rule refl :args (@t230))
% 45.84/46.11  (step @p324 :rule refl :args (@t246))
% 45.84/46.11  (step @p325 :rule arith_poly_norm :args ((= @t249 @t248)))
% 45.84/46.11  (step @p326 :rule arith_poly_norm_rel :premises (@p325) :args ((= @t245 @t67)))
% 45.84/46.11  (step @p327 :rule cong :premises (@p326) :args (@t246))
% 45.84/46.11  (step @p328 :rule nary_cong :premises (@p327 @p324 @p323 @p322 @p321) :args (@t250))
% 45.84/46.11  (step @p329 :rule aci_norm :args ((= @t251 @t250)))
% 45.84/46.11  (step @p330 :rule trans :premises (@p329 @p328))
% 45.84/46.11  (step @p331 :rule cong :premises (@p330) :args (@t252))
% 45.84/46.11  (step @p332 :rule trans :premises (@p331 @p320))
% 45.84/46.11  (step @p333 :rule cong :premises (@p332) :args (@t253))
% 45.84/46.11  (step @p334 :rule quant-merge-prenex :args ((= @t253 @t254)))
% 45.84/46.11  (step @p335 :rule symm :premises (@p334))
% 45.84/46.11  (step @p336 :rule quant_var_reordering :args ((= (forall @t255 @t251) @t254)))
% 45.84/46.11  (step @p337 :rule trans :premises (@p336 @p335 @p333))
% 45.84/46.11  (step @p338 :rule trans :premises (@p337 @p319))
% 45.84/46.11  (step @p339 :rule aci_norm :args ((= (or false @t246 @t230 @t229 @t244) @t251)))
% 45.84/46.11  (step @p340 :rule refl :args (@t244))
% 45.84/46.11  (step @p341 :rule arith_poly_norm :args ((= (* -1 (- 0 @t256)) (* -1 (- @t227 1)))))
% 45.84/46.11  (step @p342 :rule arith_poly_norm_rel :premises (@p341) :args ((= (>= 0 @t256) (>= @t227 1))))
% 45.84/46.11  (step @p343 :rule arith-geq-tighten :args (@t62 0))
% 45.84/46.11  (step @p344 :rule trans :premises (@p343 @p342))
% 45.84/46.11  (step @p345 :rule symm :premises (@p344))
% 45.84/46.11  (step @p346 :rule refl :args (1))
% 45.84/46.11  (step @p347 :rule arith_poly_norm :args ((= @t257 @t227)))
% 45.84/46.11  (step @p348 :rule cong :premises (@p347 @p346) :args (@t258))
% 45.84/46.11  (step @p349 :rule trans :premises (@p348 @p345))
% 45.84/46.11  (step @p350 :rule refl :args (@t246))
% 45.84/46.11  (step @p351 :rule evaluate :args (@t259))
% 45.84/46.11  (step @p352 :rule cong :premises (@p351) :args (@t260))
% 45.84/46.11  (step @p353 :rule trans :premises (@p352 @p32))
% 45.84/46.11  (step @p354 :rule nary_cong :premises (@p353 @p350 @p313 @p349 @p340) :args (@t261))
% 45.84/46.11  (step @p355 :rule trans :premises (@p354 @p339))
% 45.84/46.11  (step @p356 :rule cong :premises (@p355) :args ((forall @t255 @t261)))
% 45.84/46.11  (step @p357 :rule trans :premises (@p356 @p338))
% 45.84/46.11  (step @p358 :rule quant-var-elim-eq :args ((= (forall @t266 @t265) @t261)))
% 45.84/46.11  (step @p359 :rule aci_norm :args ((= @t267 @t265)))
% 45.84/46.11  (step @p360 :rule cong :premises (@p359) :args (@t268))
% 45.84/46.11  (step @p361 :rule trans :premises (@p360 @p358))
% 45.84/46.11  (step @p362 :rule cong :premises (@p361) :args (@t269))
% 45.84/46.11  (step @p363 :rule quant-merge-prenex :args ((= @t269 @t270)))
% 45.84/46.11  (step @p364 :rule symm :premises (@p363))
% 45.84/46.11  (step @p365 :rule quant_var_reordering :args ((= (forall @t70 @t267) @t270)))
% 45.84/46.11  (step @p366 :rule trans :premises (@p365 @p364 @p362))
% 45.84/46.11  (step @p367 :rule trans :premises (@p366 @p357))
% 45.84/46.11  (step @p368 :rule bool-double-not-elim :args (@t263))
% 45.84/46.11  (step @p369 :rule refl :args (@t264))
% 45.84/46.11  (step @p370 :rule nary_cong :premises (@p369 @p324 @p323 @p368 @p321) :args (@t273))
% 45.84/46.11  (step @p371 :rule aci_norm :args ((= (or @t264 (or @t246 (or @t230 (or @t272 @t244)))) @t273)))
% 45.84/46.11  (step @p372 :rule trans :premises (@p371 @p370))
% 45.84/46.11  (step @p373 :rule bool-and-de-morgan :args (@t271 @t243 true))
% 45.84/46.11  (step @p374 :rule nary_cong :premises (@p323 @p373) :args ((or @t230 (not (and @t271 @t243)))))
% 45.84/46.11  (step @p375 :rule bool-and-de-morgan :args (@t66 @t271 (and @t243)))
% 45.84/46.11  (step @p376 :rule trans :premises (@p375 @p374))
% 45.84/46.11  (step @p377 :rule nary_cong :premises (@p324 @p376) :args ((or @t246 (not (and @t66 @t271 @t243)))))
% 45.84/46.11  (step @p378 :rule bool-and-de-morgan :args (@t245 @t66 (and @t271 @t243)))
% 45.84/46.11  (step @p379 :rule trans :premises (@p378 @p377))
% 45.84/46.11  (step @p380 :rule nary_cong :premises (@p369 @p379) :args ((or @t264 (not (and @t245 @t66 @t271 @t243)))))
% 45.84/46.11  (step @p381 :rule bool-and-de-morgan :args (@t68 @t245 (and @t66 @t271 @t243)))
% 45.84/46.11  (step @p382 :rule trans :premises (@p381 @p380))
% 45.84/46.11  (step @p383 :rule trans :premises (@p382 @p372))
% 45.84/46.11  (step @p384 :rule cong :premises (@p383) :args (@t275))
% 45.84/46.11  (step @p385 :rule trans :premises (@p384 @p367))
% 45.84/46.11  (step @p386 :rule cong :premises (@p385) :args (@t276))
% 45.84/46.11  (step @p387 :rule exists-elim :args ((= (exists @t70 @t274) @t276)))
% 45.84/46.11  (step @p388 :rule trans :premises (@p387 @p386))
% 45.84/46.11  (step @p389 :rule arith_poly_norm :args ((= (* 1 (- @t61 @t62)) (* 1 (- @t242 0)))))
% 45.84/46.11  (step @p390 :rule arith_poly_norm_rel :premises (@p389) :args ((= (>= @t61 @t62) @t243)))
% 45.84/46.11  (step @p391 :rule arith-elim-leq :args (@t62 @t61))
% 45.84/46.11  (step @p392 :rule trans :premises (@p391 @p390))
% 45.84/46.11  (step @p393 :rule arith_poly_norm :args ((= (* -1 (- @t64 @t256)) (* -1 (- @t262 1)))))
% 45.84/46.11  (step @p394 :rule arith_poly_norm_rel :premises (@p393) :args ((= @t277 @t263)))
% 45.84/46.11  (step @p395 :rule cong :premises (@p394) :args ((not @t277)))
% 45.84/46.11  (step @p396 :rule arith-leq-norm :args (@t64 @t62))
% 45.84/46.11  (step @p397 :rule trans :premises (@p396 @p395))
% 45.84/46.11  (step @p398 :rule refl :args (@t66))
% 45.84/46.11  (step @p399 :rule arith_poly_norm :args ((= @t248 @t249)))
% 45.84/46.11  (step @p400 :rule arith_poly_norm_rel :premises (@p399) :args ((= @t67 @t245)))
% 45.84/46.11  (step @p401 :rule refl :args (@t68))
% 45.84/46.11  (step @p402 :rule nary_cong :premises (@p401 @p400 @p398 @p397 @p392) :args (@t69))
% 45.84/46.11  (step @p403 :rule cong :premises (@p402) :args (@t71))
% 45.84/46.11  (step @p404 :rule trans :premises (@p403 @p388))
% 45.84/46.11  (step @p405 :rule refl :args (@t72))
% 45.84/46.11  (step @p406 :rule nary_cong :premises (@p405 @p404 @p309) :args (@t73))
% 45.84/46.11  (step @p407 :rule cong :premises (@p406) :args (@t74))
% 45.84/46.11  (step @p408 :rule trans :premises (@p407 @p308))
% 45.84/46.11  (step @p409 :rule bool-double-not-elim :args (@t164))
% 45.84/46.11  (step @p410 :rule aci_norm :args ((= (or false @t165) @t165)))
% 45.84/46.11  (step @p411 :rule nary_cong :premises (@p142 @p197) :args (@t278))
% 45.84/46.11  (step @p412 :rule trans :premises (@p411 @p410))
% 45.84/46.11  (step @p413 :rule quant-var-elim-eq :args ((= (forall @t77 @t280) @t278)))
% 45.84/46.11  (step @p414 :rule aci_norm :args ((= @t281 @t280)))
% 45.84/46.11  (step @p415 :rule cong :premises (@p414) :args ((forall @t77 @t281)))
% 45.84/46.11  (step @p416 :rule trans :premises (@p415 @p413))
% 45.84/46.11  (step @p417 :rule trans :premises (@p416 @p412))
% 45.84/46.11  (step @p418 :rule bool-and-de-morgan :args (@t36 @t75 true))
% 45.84/46.11  (step @p419 :rule cong :premises (@p418) :args (@t282))
% 45.84/46.11  (step @p420 :rule trans :premises (@p419 @p417))
% 45.84/46.11  (step @p421 :rule cong :premises (@p420) :args (@t283))
% 45.84/46.11  (step @p422 :rule trans :premises (@p421 @p409))
% 45.84/46.11  (step @p423 :rule exists-elim :args ((= @t78 @t283)))
% 45.84/46.11  (step @p424 :rule trans :premises (@p423 @p422))
% 45.84/46.11  (step @p425 :rule aci_norm :args ((= (or false @t172) @t172)))
% 45.84/46.11  (step @p426 :rule refl :args (@t172))
% 45.84/46.11  (step @p427 :rule nary_cong :premises (@p97 @p426) :args (@t284))
% 45.84/46.11  (step @p428 :rule trans :premises (@p427 @p425))
% 45.84/46.11  (step @p429 :rule quant-var-elim-eq :args ((= (forall @t142 (or @t206 @t205 @t285)) @t284)))
% 45.84/46.11  (step @p430 :rule refl :args (@t285))
% 45.84/46.11  (step @p431 :rule nary_cong :premises (@p252 @p250 @p430) :args (@t286))
% 45.84/46.11  (step @p432 :rule aci_norm :args ((= @t287 @t286)))
% 45.84/46.11  (step @p433 :rule trans :premises (@p432 @p431))
% 45.84/46.11  (step @p434 :rule cong :premises (@p433) :args ((forall @t142 @t287)))
% 45.84/46.11  (step @p435 :rule trans :premises (@p434 @p429))
% 45.84/46.11  (step @p436 :rule trans :premises (@p435 @p428))
% 45.84/46.11  (step @p437 :rule aci_norm :args ((= (or false @t205 @t285) @t287)))
% 45.84/46.11  (step @p438 :rule refl :args (@t285))
% 45.84/46.11  (step @p439 :rule nary_cong :premises (@p142 @p266 @p438) :args (@t288))
% 45.84/46.11  (step @p440 :rule trans :premises (@p439 @p437))
% 45.84/46.11  (step @p441 :rule cong :premises (@p440) :args ((forall @t142 @t288)))
% 45.84/46.11  (step @p442 :rule trans :premises (@p441 @p436))
% 45.84/46.11  (step @p443 :rule quant-var-elim-eq :args ((= (forall @t77 @t289) @t288)))
% 45.84/46.11  (step @p444 :rule aci_norm :args ((= @t290 @t289)))
% 45.84/46.11  (step @p445 :rule cong :premises (@p444) :args (@t291))
% 45.84/46.11  (step @p446 :rule trans :premises (@p445 @p443))
% 45.84/46.11  (step @p447 :rule cong :premises (@p446) :args (@t292))
% 45.84/46.11  (step @p448 :rule quant-merge-prenex :args ((= @t292 @t294)))
% 45.84/46.11  (step @p449 :rule symm :premises (@p448))
% 45.84/46.11  (step @p450 :rule quant_var_reordering :args ((= (forall @t60 @t290) @t294)))
% 45.84/46.11  (step @p451 :rule trans :premises (@p450 @p449 @p447))
% 45.84/46.11  (step @p452 :rule trans :premises (@p451 @p442))
% 45.84/46.11  (step @p453 :rule bool-double-not-elim :args (@t79))
% 45.84/46.11  (step @p454 :rule nary_cong :premises (@p162 @p250 @p453) :args (@t296))
% 45.84/46.11  (step @p455 :rule aci_norm :args ((= (or @t152 (or @t205 @t295)) @t296)))
% 45.84/46.11  (step @p456 :rule trans :premises (@p455 @p454))
% 45.84/46.11  (step @p457 :rule bool-and-de-morgan :args (@t204 @t80 true))
% 45.84/46.11  (step @p458 :rule nary_cong :premises (@p162 @p457) :args ((or @t152 (not (and @t204 @t80)))))
% 45.84/46.11  (step @p459 :rule bool-and-de-morgan :args (@t36 @t204 (and @t80)))
% 45.84/46.11  (step @p460 :rule trans :premises (@p459 @p458))
% 45.84/46.11  (step @p461 :rule trans :premises (@p460 @p456))
% 45.84/46.11  (step @p462 :rule cong :premises (@p461) :args (@t298))
% 45.84/46.11  (step @p463 :rule trans :premises (@p462 @p452))
% 45.84/46.11  (step @p464 :rule cong :premises (@p463) :args (@t299))
% 45.84/46.11  (step @p465 :rule exists-elim :args ((= (exists @t60 @t297) @t299)))
% 45.84/46.11  (step @p466 :rule trans :premises (@p465 @p464))
% 45.84/46.11  (step @p467 :rule refl :args (@t80))
% 45.84/46.11  (step @p468 :rule eq-symm :args (@t30 @t31))
% 45.84/46.11  (step @p469 :rule nary_cong :premises (@p176 @p468 @p467) :args (@t82))
% 45.84/46.11  (step @p470 :rule cong :premises (@p469) :args (@t83))
% 45.84/46.11  (step @p471 :rule trans :premises (@p470 @p466))
% 45.84/46.11  (step @p472 :rule nary_cong :premises (@p471 @p424 @p408) :args (@t84))
% 45.84/46.11  (step @p473 :rule cong :premises (@p472) :args ((not @t84)))
% 45.84/46.11  (step @p474 :rule bool-impl-false1 :args (@t84))
% 45.84/46.11  (step @p475 :rule trans :premises (@p474 @p473))
% 45.84/46.11  (step @p476 :rule cong :premises (@p475) :args (@t86))
% 45.84/46.11  (step @p477 :rule trans :premises (@p476 @p238))
% 45.84/46.11  (step @p478 :rule eq_resolve :premises (@p23 @p477))
% 45.84/46.11  (step @p479 :rule instantiate :premises (@p478) :args ((@list @t309 @t308)))
% 45.84/46.11  (step @p480 :rule aci_norm :args ((= (or @t304 @t165 false @t302 @t301) @t305)))
% 45.84/46.11  (step @p481 :rule refl :args (@t301))
% 45.84/46.11  (step @p482 :rule refl :args (@t302))
% 45.84/46.11  (step @p483 :rule eq-refl :args (@t303))
% 45.84/46.11  (step @p484 :rule cong :premises (@p483) :args (@t310))
% 45.84/46.11  (step @p485 :rule trans :premises (@p484 @p32))
% 45.84/46.11  (step @p486 :rule refl :args (@t304))
% 45.84/46.11  (step @p487 :rule nary_cong :premises (@p486 @p197 @p485 @p482 @p481) :args (@t311))
% 45.84/46.11  (step @p488 :rule trans :premises (@p487 @p480))
% 45.84/46.11  (step @p489 :rule cong :premises (@p488) :args ((forall @t306 @t311)))
% 45.84/46.11  (step @p490 :rule quant-var-elim-eq :args ((= (forall @t108 @t314) @t311)))
% 45.84/46.11  (step @p491 :rule aci_norm :args ((= @t315 @t314)))
% 45.84/46.11  (step @p492 :rule cong :premises (@p491) :args (@t316))
% 45.84/46.11  (step @p493 :rule trans :premises (@p492 @p490))
% 45.84/46.11  (step @p494 :rule cong :premises (@p493) :args (@t317))
% 45.84/46.11  (step @p495 :rule quant-merge-prenex :args ((= @t317 @t318)))
% 45.84/46.11  (step @p496 :rule symm :premises (@p495))
% 45.84/46.11  (step @p497 :rule quant_var_reordering :args ((= (forall @t319 @t315) @t318)))
% 45.84/46.11  (step @p498 :rule trans :premises (@p497 @p496 @p494))
% 45.84/46.11  (step @p499 :rule trans :premises (@p498 @p489))
% 45.84/46.11  (step @p500 :rule aci_norm :args ((= @t321 @t315)))
% 45.84/46.11  (step @p501 :rule cong :premises (@p500) :args (@t322))
% 45.84/46.11  (step @p502 :rule trans :premises (@p501 @p499))
% 45.84/46.11  (step @p503 :rule quant-merge-prenex :args ((= (forall @t85 @t324) @t322)))
% 45.84/46.11  (step @p504 :rule alpha_equiv :args (@t325 (@list @t300) @t186))
% 45.84/46.11  (step @p505 :rule refl :args (@t313))
% 45.84/46.11  (step @p506 :rule nary_cong :premises (@p505 @p217 @p504) :args (@t326))
% 45.84/46.11  (step @p507 :rule quant-miniscope-or :args ((= @t324 @t326)))
% 45.84/46.11  (step @p508 :rule trans :premises (@p507 @p506))
% 45.84/46.11  (step @p509 :rule symm :premises (@p508))
% 45.84/46.11  (step @p510 :rule cong :premises (@p509) :args ((forall @t85 (or @t313 @t165 @t194))))
% 45.84/46.11  (step @p511 :rule trans :premises (@p510 @p503))
% 45.84/46.11  (step @p512 :rule trans :premises (@p511 @p502))
% 45.84/46.11  (step @p513 :rule bool-double-not-elim :args (@t313))
% 45.84/46.11  (step @p514 :rule nary_cong :premises (@p513 @p217 @p226) :args (@t329))
% 45.84/46.11  (step @p515 :rule aci_norm :args ((= (or @t328 @t200) @t329)))
% 45.84/46.11  (step @p516 :rule trans :premises (@p515 @p514))
% 45.84/46.11  (step @p517 :rule refl :args (@t328))
% 45.84/46.11  (step @p518 :rule nary_cong :premises (@p517 @p231) :args ((or @t328 @t201)))
% 45.84/46.11  (step @p519 :rule bool-and-de-morgan :args (@t327 @t164 (and @t195)))
% 45.84/46.11  (step @p520 :rule trans :premises (@p519 @p518))
% 45.84/46.11  (step @p521 :rule trans :premises (@p520 @p516))
% 45.84/46.11  (step @p522 :rule cong :premises (@p521) :args ((forall @t85 (not (and @t327 @t164 @t195)))))
% 45.84/46.11  (step @p523 :rule trans :premises (@p522 @p512))
% 45.84/46.11  (step @p524 :rule aci_norm :args ((= (or false @t313) @t313)))
% 45.84/46.11  (step @p525 :rule refl :args (@t313))
% 45.84/46.11  (step @p526 :rule nary_cong :premises (@p97 @p525) :args (@t330))
% 45.84/46.11  (step @p527 :rule trans :premises (@p526 @p524))
% 45.84/46.11  (step @p528 :rule quant-var-elim-eq :args ((= (forall @t142 (or @t206 @t205 @t331)) @t330)))
% 45.84/46.11  (step @p529 :rule refl :args (@t331))
% 45.84/46.11  (step @p530 :rule nary_cong :premises (@p252 @p250 @p529) :args (@t332))
% 45.84/46.11  (step @p531 :rule aci_norm :args ((= @t333 @t332)))
% 45.84/46.11  (step @p532 :rule trans :premises (@p531 @p530))
% 45.84/46.11  (step @p533 :rule cong :premises (@p532) :args ((forall @t142 @t333)))
% 45.84/46.11  (step @p534 :rule trans :premises (@p533 @p528))
% 45.84/46.11  (step @p535 :rule trans :premises (@p534 @p527))
% 45.84/46.11  (step @p536 :rule aci_norm :args ((= (or false @t205 @t331) @t333)))
% 45.84/46.11  (step @p537 :rule refl :args (@t331))
% 45.84/46.11  (step @p538 :rule nary_cong :premises (@p142 @p266 @p537) :args (@t334))
% 45.84/46.11  (step @p539 :rule trans :premises (@p538 @p536))
% 45.84/46.11  (step @p540 :rule cong :premises (@p539) :args ((forall @t142 @t334)))
% 45.84/46.11  (step @p541 :rule trans :premises (@p540 @p535))
% 45.84/46.11  (step @p542 :rule quant-var-elim-eq :args ((= (forall @t77 @t335) @t334)))
% 45.84/46.11  (step @p543 :rule aci_norm :args ((= @t336 @t335)))
% 45.84/46.11  (step @p544 :rule cong :premises (@p543) :args (@t337))
% 45.84/46.11  (step @p545 :rule trans :premises (@p544 @p542))
% 45.84/46.11  (step @p546 :rule cong :premises (@p545) :args (@t338))
% 45.84/46.11  (step @p547 :rule quant-merge-prenex :args ((= @t338 @t339)))
% 45.84/46.11  (step @p548 :rule symm :premises (@p547))
% 45.84/46.11  (step @p549 :rule quant_var_reordering :args ((= (forall @t60 @t336) @t339)))
% 45.84/46.11  (step @p550 :rule trans :premises (@p549 @p548 @p546))
% 45.84/46.11  (step @p551 :rule trans :premises (@p550 @p541))
% 45.84/46.11  (step @p552 :rule bool-double-not-elim :args (@t94))
% 45.84/46.11  (step @p553 :rule nary_cong :premises (@p162 @p250 @p552) :args (@t341))
% 45.84/46.11  (step @p554 :rule aci_norm :args ((= (or @t152 (or @t205 @t340)) @t341)))
% 45.84/46.11  (step @p555 :rule trans :premises (@p554 @p553))
% 45.84/46.11  (step @p556 :rule bool-and-de-morgan :args (@t204 @t95 true))
% 45.84/46.11  (step @p557 :rule nary_cong :premises (@p162 @p556) :args ((or @t152 (not (and @t204 @t95)))))
% 45.84/46.11  (step @p558 :rule bool-and-de-morgan :args (@t36 @t204 (and @t95)))
% 45.84/46.11  (step @p559 :rule trans :premises (@p558 @p557))
% 45.84/46.11  (step @p560 :rule trans :premises (@p559 @p555))
% 45.84/46.11  (step @p561 :rule cong :premises (@p560) :args (@t343))
% 45.84/46.11  (step @p562 :rule trans :premises (@p561 @p551))
% 45.84/46.11  (step @p563 :rule cong :premises (@p562) :args (@t344))
% 45.84/46.11  (step @p564 :rule exists-elim :args ((= (exists @t60 @t342) @t344)))
% 45.84/46.11  (step @p565 :rule trans :premises (@p564 @p563))
% 45.84/46.11  (step @p566 :rule refl :args (@t95))
% 45.84/46.11  (step @p567 :rule nary_cong :premises (@p176 @p468 @p566) :args (@t96))
% 45.84/46.11  (step @p568 :rule cong :premises (@p567) :args (@t97))
% 45.84/46.11  (step @p569 :rule trans :premises (@p568 @p565))
% 45.84/46.11  (step @p570 :rule nary_cong :premises (@p569 @p424 @p408) :args (@t98))
% 45.84/46.11  (step @p571 :rule cong :premises (@p570) :args ((not @t98)))
% 45.84/46.11  (step @p572 :rule bool-impl-false1 :args (@t98))
% 45.84/46.11  (step @p573 :rule trans :premises (@p572 @p571))
% 45.84/46.11  (step @p574 :rule cong :premises (@p573) :args (@t99))
% 45.84/46.11  (step @p575 :rule trans :premises (@p574 @p523))
% 45.84/46.11  (step @p576 :rule cong :premises (@p575) :args (@t100))
% 45.84/46.11  (step @p577 :rule eq_resolve :premises (@p26 @p576))
% 45.84/46.11  (step @p578 :rule skolemize :premises (@p577))
% 45.84/46.11  (step @p579 :rule bool-double-not-elim :args (@t345))
% 45.84/46.11  (step @p580 :rule refl :args (@t353))
% 45.84/46.11  (step @p581 :rule nary_cong :premises (@p580 @p579) :args ((or @t353 (not @t346))))
% 45.84/46.11  (step @p582 :rule cnf_or_neg :args (@t353 3))
% 45.84/46.11  (step @p583 :rule eq_resolve :premises (@p582 @p581))
% 45.84/46.11  (step @p584 :rule reordering :premises (@p583) :args ((or @t345 @t353)))
% 45.84/46.11  (step @p585 :rule chain_m_resolution :premises (@p584 @p578) :args (@t345 @t354 @t355))
% 45.84/46.11  (step @p586 :rule bool-double-not-elim :args (@t347))
% 45.84/46.11  (step @p587 :rule nary_cong :premises (@p580 @p586) :args ((or @t353 (not @t348))))
% 45.84/46.11  (step @p588 :rule cnf_or_neg :args (@t353 2))
% 45.84/46.11  (step @p589 :rule eq_resolve :premises (@p588 @p587))
% 45.84/46.11  (step @p590 :rule reordering :premises (@p589) :args ((or @t347 @t353)))
% 45.84/46.11  (step @p591 :rule chain_m_resolution :premises (@p590 @p578) :args (@t347 @t354 @t355))
% 45.84/46.11  (step @p592 :rule bool-double-not-elim :args (@t349))
% 45.84/46.11  (step @p593 :rule nary_cong :premises (@p580 @p592) :args ((or @t353 (not @t350))))
% 45.84/46.11  (step @p594 :rule cnf_or_neg :args (@t353 1))
% 45.84/46.11  (step @p595 :rule eq_resolve :premises (@p594 @p593))
% 45.84/46.11  (step @p596 :rule reordering :premises (@p595) :args ((or @t349 @t353)))
% 45.84/46.11  (step @p597 :rule chain_m_resolution :premises (@p596 @p578) :args (@t349 @t354 @t355))
% 45.84/46.11  (step @p598 :rule cnf_or_pos :args (@t357))
% 45.84/46.11  (step @p599 :rule reordering :premises (@p598) :args ((or @t350 @t348 @t346 @t356 (not @t357))))
% 45.84/46.11  (step @p600 :rule chain_m_resolution :premises (@p599 @p597 @p591 @p585 @p479) :args (@t356 (@list false false false false) (@list @t349 @t347 @t345 @t357)))
% 45.84/46.11  (step @p601 :rule refl :args (@t50))
% 45.84/46.11  (step @p602 :rule cong :premises (@p601 @p184) :args (@t51))
% 45.84/46.11  (step @p603 :rule cong :premises (@p602) :args (@t52))
% 45.84/46.11  (step @p604 :rule eq_resolve :premises (@p20 @p603))
% 45.84/46.11  (step @p605 :rule instantiate :premises (@p604) :args (@t358))
% 45.84/46.11  (step @p606 :rule cnf_or_neg :args (@t353 0))
% 45.84/46.11  (step @p607 :rule chain_m_resolution :premises (@p606 @p578) :args ((not @t352) @t354 @t355))
% 45.84/46.11  (step @p608 :rule bool-double-not-elim :args (@t359))
% 45.84/46.11  (step @p609 :rule refl :args (@t352))
% 45.84/46.11  (step @p610 :rule refl :args (@t362))
% 45.84/46.11  (step @p611 :rule nary_cong :premises (@p610 @p609 @p608) :args ((or @t362 @t352 (not @t360))))
% 45.84/46.11  (step @p612 :rule cnf_equiv_pos2 :args (@t361))
% 45.84/46.11  (step @p613 :rule eq_resolve :premises (@p612 @p611))
% 45.84/46.11  (step @p614 :rule reordering :premises (@p613) :args ((or @t352 @t359 @t362)))
% 45.84/46.11  (step @p615 :rule chain_m_resolution :premises (@p614 @p607 @p605) :args (@t359 @t363 (@list @t352 @t361)))
% 45.84/46.11  (step @p616 :rule cnf_equiv_pos2 :args (@t364))
% 45.84/46.11  (step @p617 :rule reordering :premises (@p616) :args ((or @t360 (not @t356) @t365)))
% 45.84/46.11  (step @p618 :rule chain_m_resolution :premises (@p617 @p615 @p600) :args (@t365 (@list false false) (@list @t359 @t356)))
% 45.84/46.11  (step @p619 :rule eq-symm :args (@t356 @t360))
% 45.84/46.11  (step @p620 :rule refl :args (@t366))
% 45.84/46.11  (step @p621 :rule cong :premises (@p620 @p619) :args ((=> @t366 @t367)))
% 45.84/46.11  (assume-push @p629 @t366)
% 45.84/46.11  (step @p623 :rule instantiate :premises (@p190) :args (@t358))
% 45.84/46.11  (step-pop @p630 :rule scope :premises (@p623))
% 45.84/46.11  (step @p624 :rule process_scope :premises (@p630) :args (@t367))
% 45.84/46.11  (step @p626 :rule eq_resolve :premises (@p624 @p621))
% 45.84/46.11  (step @p627 :rule implies_elim :premises (@p626))
% 45.84/46.11  (step @p628 false :rule chain_m_resolution :premises (@p627 @p618 @p190) :args (false @t363 (@list @t364 @t366)))
% 45.84/46.11  )
% 45.84/46.11  % SZS output end Proof
% 45.84/46.11  % cvc5 exiting
%------------------------------------------------------------------------------