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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWX113_1 : TPTP v9.2.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 09:07:09 AM UTC 2026

% Result   : Theorem 45.87s 46.03s
% Output   : Proof 45.87s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWX113_1 : TPTP v9.2.1. Released v9.1.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n004.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 22:57:52 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.29/0.50  %----Proving TF0_ARI
% 45.87/46.03  --- Run --finite-model-find --decision=internal at 45...
% 45.87/46.03  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60...
% 45.87/46.03  % SZS status Theorem
% 45.87/46.03  % SZS output start Proof
% 45.87/46.03  (
% 45.87/46.03  (declare-sort tptp.symbol 0)
% 45.87/46.03  (declare-sort tptp.general 0)
% 45.87/46.03  (declare-const tptp.in_building_p (-> tptp.general tptp.general Bool))
% 45.87/46.03  (declare-const tptp.f__integer__ (-> Int tptp.general))
% 45.87/46.03  (declare-const tptp.f__symbolic__ (-> tptp.symbol tptp.general))
% 45.87/46.03  (declare-const tptp.c__supremum__ tptp.general)
% 45.87/46.03  (declare-const tptp.p__is_symbolic__ (-> tptp.general Bool))
% 45.87/46.03  (declare-const tptp.person (-> tptp.general Bool))
% 45.87/46.03  (declare-const tptp.c__infimum__ tptp.general)
% 45.87/46.03  (declare-const tptp.p__is_integer__ (-> tptp.general Bool))
% 45.87/46.03  (declare-const tptp.in0 (-> tptp.general tptp.general Bool))
% 45.87/46.03  (declare-const tptp.goto (-> tptp.general tptp.general tptp.general Bool))
% 45.87/46.03  (declare-const tptp.p__less_equal__ (-> tptp.general tptp.general Bool))
% 45.87/46.03  (declare-const tptp.go (-> tptp.general tptp.general Bool))
% 45.87/46.03  (declare-const tptp.p__less__ (-> tptp.general tptp.general Bool))
% 45.87/46.03  (declare-const tptp.in_building (-> tptp.general tptp.general Bool))
% 45.87/46.03  (declare-const tptp.p__greater_equal__ (-> tptp.general tptp.general Bool))
% 45.87/46.03  (declare-const tptp.h_i Int)
% 45.87/46.03  (declare-const tptp.in (-> tptp.general tptp.general tptp.general Bool))
% 45.87/46.03  (declare-const tptp.p__greater__ (-> tptp.general tptp.general Bool))
% 45.87/46.03  (define @t1 () (@var "N" Int))
% 45.87/46.03  (define @t2 () (tptp.f__integer__ @t1))
% 45.87/46.03  (define @t3 () (@var "X" tptp.general))
% 45.87/46.03  (define @t4 () (@list @t1))
% 45.87/46.03  (define @t5 () (tptp.p__is_integer__ @t3))
% 45.87/46.03  (define @t6 () (@list @t3))
% 45.87/46.03  (define @t7 () (@var "X2" tptp.symbol))
% 45.87/46.03  (define @t8 () (@var "X1" tptp.general))
% 45.87/46.03  (define @t9 () (@var "N2" Int))
% 45.87/46.03  (define @t10 () (@var "N1" Int))
% 45.87/46.03  (define @t11 () (tptp.f__integer__ @t9))
% 45.87/46.03  (define @t12 () (tptp.f__integer__ @t10))
% 45.87/46.03  (define @t13 () (@list @t10 @t9))
% 45.87/46.03  (define @t14 () (@var "S2" tptp.symbol))
% 45.87/46.03  (define @t15 () (@var "S1" tptp.symbol))
% 45.87/46.03  (define @t16 () (@var "X2" tptp.general))
% 45.87/46.03  (define @t17 () (= @t8 @t16))
% 45.87/46.03  (define @t18 () (tptp.p__less_equal__ @t16 @t8))
% 45.87/46.03  (define @t19 () (tptp.p__less_equal__ @t8 @t16))
% 45.87/46.03  (define @t20 () (@list @t8 @t16))
% 45.87/46.03  (define @t21 () (@var "X3" tptp.general))
% 45.87/46.03  (define @t22 () (not @t17))
% 45.87/46.03  (define @t23 () (@var "S" tptp.symbol))
% 45.87/46.03  (define @t24 () (tptp.f__symbolic__ @t23))
% 45.87/46.03  (define @t25 () (@var "X_g" tptp.general))
% 45.87/46.03  (define @t26 () (tptp.person @t25))
% 45.87/46.03  (define @t27 () (@var "Y_g" tptp.general))
% 45.87/46.03  (define @t28 () (@var "Z_g" tptp.general))
% 45.87/46.03  (define @t29 () (@var "Z2_g" tptp.general))
% 45.87/46.03  (define @t30 () (@var "Z1_g" tptp.general))
% 45.87/46.03  (define @t31 () (@var "T_g" tptp.general))
% 45.87/46.03  (define @t32 () (= @t29 @t31))
% 45.87/46.03  (define @t33 () (@var "R_g" tptp.general))
% 45.87/46.03  (define @t34 () (= @t30 @t33))
% 45.87/46.03  (define @t35 () (@var "P_g" tptp.general))
% 45.87/46.03  (define @t36 () (= @t28 @t35))
% 45.87/46.03  (define @t37 () (@list @t28 @t30 @t29))
% 45.87/46.03  (define @t38 () (exists @t37 (and @t36 @t34 @t32 (tptp.goto @t28 @t30 @t29))))
% 45.87/46.03  (define @t39 () (@var "V2_g" tptp.general))
% 45.87/46.03  (define @t40 () (= @t39 @t31))
% 45.87/46.03  (define @t41 () (@var "V1_g" tptp.general))
% 45.87/46.03  (define @t42 () (= @t41 @t35))
% 45.87/46.03  (define @t43 () (@list @t35 @t31 @t33))
% 45.87/46.03  (define @t44 () (@list @t41 @t39))
% 45.87/46.03  (define @t45 () (tptp.in @t28 @t30 @t29))
% 45.87/46.03  (define @t46 () (and @t36 @t34 @t32 @t45))
% 45.87/46.03  (define @t47 () (exists @t37 @t46))
% 45.87/46.03  (define @t48 () (and @t42 @t40 @t47))
% 45.87/46.03  (define @t49 () (exists @t43 @t48))
% 45.87/46.03  (define @t50 () (tptp.in_building @t41 @t39))
% 45.87/46.03  (define @t51 () (= @t50 @t49))
% 45.87/46.03  (define @t52 () (forall @t44 @t51))
% 45.87/46.03  (define @t53 () (tptp.in_building_p @t41 @t39))
% 45.87/46.03  (define @t54 () (forall @t44 (= @t53 @t49)))
% 45.87/46.03  (define @t55 () (= @t28 @t30))
% 45.87/46.03  (define @t56 () (not @t55))
% 45.87/46.03  (define @t57 () (@var "R2_g" tptp.general))
% 45.87/46.03  (define @t58 () (= @t30 @t57))
% 45.87/46.03  (define @t59 () (@var "R1_g" tptp.general))
% 45.87/46.03  (define @t60 () (@list @t28 @t30))
% 45.87/46.03  (define @t61 () (@var "J_i" Int))
% 45.87/46.03  (define @t62 () (@var "K_i" Int))
% 45.87/46.03  (define @t63 () (<= @t62 @t61))
% 45.87/46.03  (define @t64 () (@var "I_i" Int))
% 45.87/46.03  (define @t65 () (<= @t64 @t62))
% 45.87/46.03  (define @t66 () (= @t30 (tptp.f__integer__ @t62)))
% 45.87/46.03  (define @t67 () (= @t61 tptp.h_i))
% 45.87/46.03  (define @t68 () (= @t64 0))
% 45.87/46.03  (define @t69 () (and @t68 @t67 @t66 @t65 @t63))
% 45.87/46.03  (define @t70 () (@list @t64 @t61 @t62))
% 45.87/46.03  (define @t71 () (exists @t70 @t69))
% 45.87/46.03  (define @t72 () (= @t28 @t31))
% 45.87/46.03  (define @t73 () (and @t72 @t71 @t55))
% 45.87/46.03  (define @t74 () (exists @t60 @t73))
% 45.87/46.03  (define @t75 () (tptp.person @t28))
% 45.87/46.03  (define @t76 () (and @t36 @t75))
% 45.87/46.03  (define @t77 () (@list @t28))
% 45.87/46.03  (define @t78 () (exists @t77 @t76))
% 45.87/46.03  (define @t79 () (tptp.in_building_p @t28 @t30))
% 45.87/46.03  (define @t80 () (not @t79))
% 45.87/46.03  (define @t81 () (= @t30 @t31))
% 45.87/46.03  (define @t82 () (and @t36 @t81 @t80))
% 45.87/46.03  (define @t83 () (exists @t60 @t82))
% 45.87/46.03  (define @t84 () (and @t83 @t78 @t74))
% 45.87/46.03  (define @t85 () (@list @t35 @t31))
% 45.87/46.03  (define @t86 () (forall @t85 (=> @t84 false)))
% 45.87/46.03  (define @t87 () (@var "V3_g" tptp.general))
% 45.87/46.03  (define @t88 () (tptp.in @t41 @t39 @t87))
% 45.87/46.03  (define @t89 () (@var "J1_i" Int))
% 45.87/46.03  (define @t90 () (exists (@list @t64 @t61) (and (= @t87 (tptp.f__integer__ (+ @t64 @t61))) (= (tptp.f__integer__ @t64) @t31) (= @t61 1))))
% 45.87/46.03  (define @t91 () (= @t39 @t33))
% 45.87/46.03  (define @t92 () (@list @t35 @t33 @t31))
% 45.87/46.03  (define @t93 () (tptp.in_building @t28 @t30))
% 45.87/46.03  (define @t94 () (not @t93))
% 45.87/46.03  (define @t95 () (and @t36 @t81 @t94))
% 45.87/46.03  (define @t96 () (exists @t60 @t95))
% 45.87/46.03  (define @t97 () (and @t96 @t78 @t74))
% 45.87/46.03  (define @t98 () (forall @t85 (=> @t97 false)))
% 45.87/46.03  (define @t99 () (not @t98))
% 45.87/46.03  (define @t100 () (not (tptp.in @t41 @t33 @t39)))
% 45.87/46.03  (define @t101 () (@list @t33))
% 45.87/46.03  (define @t102 () (not (forall @t101 @t100)))
% 45.87/46.03  (define @t103 () (not (= @t39 @t39)))
% 45.87/46.03  (define @t104 () (or @t103 @t100))
% 45.87/46.03  (define @t105 () (not (tptp.in @t41 @t33 @t31)))
% 45.87/46.03  (define @t106 () (not @t40))
% 45.87/46.03  (define @t107 () (@list @t31))
% 45.87/46.03  (define @t108 () (or @t106 @t106 @t105))
% 45.87/46.03  (define @t109 () (or @t106 @t105))
% 45.87/46.03  (define @t110 () (forall @t107 @t109))
% 45.87/46.03  (define @t111 () (forall @t101 @t110))
% 45.87/46.03  (define @t112 () (forall (@list @t33 @t31) @t109))
% 45.87/46.03  (define @t113 () (@list @t31 @t33))
% 45.87/46.03  (define @t114 () (not (= @t41 @t41)))
% 45.87/46.03  (define @t115 () (or @t114 @t106 @t105))
% 45.87/46.03  (define @t116 () (tptp.in @t35 @t33 @t31))
% 45.87/46.03  (define @t117 () (not @t116))
% 45.87/46.03  (define @t118 () (not @t42))
% 45.87/46.03  (define @t119 () (@list @t35))
% 45.87/46.03  (define @t120 () (or @t118 @t118 @t106 @t117))
% 45.87/46.03  (define @t121 () (or @t118 @t106 @t117))
% 45.87/46.03  (define @t122 () (forall @t119 @t121))
% 45.87/46.03  (define @t123 () (forall @t113 @t122))
% 45.87/46.03  (define @t124 () (forall (@list @t31 @t33 @t35) @t121))
% 45.87/46.03  (define @t125 () (and @t42 @t40 @t116))
% 45.87/46.03  (define @t126 () (forall @t43 (not @t125)))
% 45.87/46.03  (define @t127 () (not @t126))
% 45.87/46.03  (define @t128 () (not (= @t31 @t31)))
% 45.87/46.03  (define @t129 () (or @t128 @t117))
% 45.87/46.03  (define @t130 () (not (tptp.in @t35 @t33 @t29)))
% 45.87/46.03  (define @t131 () (= @t31 @t29))
% 45.87/46.03  (define @t132 () (not @t131))
% 45.87/46.03  (define @t133 () (@list @t29))
% 45.87/46.03  (define @t134 () (or @t132 @t132 @t130))
% 45.87/46.03  (define @t135 () (or @t132 @t130))
% 45.87/46.03  (define @t136 () (not (= @t33 @t33)))
% 45.87/46.03  (define @t137 () (or @t136 @t132 @t130))
% 45.87/46.03  (define @t138 () (not (tptp.in @t35 @t30 @t29)))
% 45.87/46.03  (define @t139 () (= @t33 @t30))
% 45.87/46.03  (define @t140 () (not @t139))
% 45.87/46.03  (define @t141 () (@list @t30))
% 45.87/46.03  (define @t142 () (or @t140 @t140 @t132 @t138))
% 45.87/46.03  (define @t143 () (or @t140 @t132 @t138))
% 45.87/46.03  (define @t144 () (forall @t141 @t143))
% 45.87/46.03  (define @t145 () (forall @t133 @t144))
% 45.87/46.03  (define @t146 () (forall (@list @t29 @t30) @t143))
% 45.87/46.03  (define @t147 () (@list @t30 @t29))
% 45.87/46.03  (define @t148 () (not (= @t35 @t35)))
% 45.87/46.03  (define @t149 () (or @t148 @t140 @t132 @t138))
% 45.87/46.03  (define @t150 () (not @t45))
% 45.87/46.03  (define @t151 () (not @t36))
% 45.87/46.03  (define @t152 () (or @t151 @t151 @t140 @t132 @t150))
% 45.87/46.03  (define @t153 () (or @t151 @t140 @t132 @t150))
% 45.87/46.03  (define @t154 () (forall @t77 @t153))
% 45.87/46.03  (define @t155 () (forall @t147 @t154))
% 45.87/46.03  (define @t156 () (forall (@list @t30 @t29 @t28) @t153))
% 45.87/46.03  (define @t157 () (and @t36 @t139 @t131 @t45))
% 45.87/46.03  (define @t158 () (forall @t37 (not @t157)))
% 45.87/46.03  (define @t159 () (not @t158))
% 45.87/46.03  (define @t160 () (@var "BOUND_VARIABLE_8036" Int))
% 45.87/46.03  (define @t161 () (not (>= (+ tptp.h_i (* -1 @t160)) 0)))
% 45.87/46.03  (define @t162 () (not (>= @t160 0)))
% 45.87/46.03  (define @t163 () (tptp.person @t35))
% 45.87/46.03  (define @t164 () (not @t163))
% 45.87/46.03  (define @t165 () (tptp.f__integer__ @t160))
% 45.87/46.03  (define @t166 () (tptp.in_building_p @t35 @t165))
% 45.87/46.03  (define @t167 () (not (= @t165 @t165)))
% 45.87/46.03  (define @t168 () (or @t166 @t164 @t167 @t162 @t161))
% 45.87/46.03  (define @t169 () (@list @t35 @t160))
% 45.87/46.03  (define @t170 () (not (= @t31 @t165)))
% 45.87/46.03  (define @t171 () (tptp.in_building_p @t35 @t31))
% 45.87/46.03  (define @t172 () (or @t170 @t171 @t164 @t170 @t162 @t161))
% 45.87/46.03  (define @t173 () (or @t171 @t164 @t170 @t162 @t161))
% 45.87/46.03  (define @t174 () (forall @t107 @t173))
% 45.87/46.03  (define @t175 () (forall @t169 @t174))
% 45.87/46.03  (define @t176 () (forall (@list @t35 @t160 @t31) @t173))
% 45.87/46.03  (define @t177 () (@list @t35 @t31 @t160))
% 45.87/46.03  (define @t178 () (or @t170 @t162 @t161))
% 45.87/46.03  (define @t179 () (or @t171 @t164 @t178))
% 45.87/46.03  (define @t180 () (forall @t177 @t179))
% 45.87/46.03  (define @t181 () (@list @t160))
% 45.87/46.03  (define @t182 () (forall @t181 @t179))
% 45.87/46.03  (define @t183 () (forall @t181 @t178))
% 45.87/46.03  (define @t184 () (@var "BOUND_VARIABLE_7999" Int))
% 45.87/46.03  (define @t185 () (@list @t184))
% 45.87/46.03  (define @t186 () (or @t171 @t164 @t183))
% 45.87/46.03  (define @t187 () (not (>= (+ tptp.h_i (* -1 @t184)) 0)))
% 45.87/46.03  (define @t188 () (not (>= @t184 0)))
% 45.87/46.03  (define @t189 () (tptp.f__integer__ @t184))
% 45.87/46.03  (define @t190 () (not (= @t31 @t189)))
% 45.87/46.03  (define @t191 () (or @t190 @t188 @t187))
% 45.87/46.03  (define @t192 () (@list @t184))
% 45.87/46.03  (define @t193 () (forall @t192 @t191))
% 45.87/46.03  (define @t194 () (not @t193))
% 45.87/46.03  (define @t195 () (not @t194))
% 45.87/46.03  (define @t196 () (not @t171))
% 45.87/46.03  (define @t197 () (not @t196))
% 45.87/46.03  (define @t198 () (or @t197 @t164 @t195))
% 45.87/46.03  (define @t199 () (or @t164 @t195))
% 45.87/46.03  (define @t200 () (not (and @t163 @t194)))
% 45.87/46.03  (define @t201 () (or @t128 @t190 @t188 @t187))
% 45.87/46.03  (define @t202 () (not (= @t30 @t189)))
% 45.87/46.03  (define @t203 () (= @t31 @t30))
% 45.87/46.03  (define @t204 () (not @t203))
% 45.87/46.03  (define @t205 () (not @t81))
% 45.87/46.03  (define @t206 () (or @t204 @t204 @t202 @t188 @t187))
% 45.87/46.03  (define @t207 () (or @t204 @t202 @t188 @t187))
% 45.87/46.03  (define @t208 () (forall @t141 @t207))
% 45.87/46.03  (define @t209 () (forall @t192 @t208))
% 45.87/46.03  (define @t210 () (forall (@list @t184 @t30) @t207))
% 45.87/46.03  (define @t211 () (@list @t30 @t184))
% 45.87/46.03  (define @t212 () (or @t128 @t204 @t202 @t188 @t187))
% 45.87/46.03  (define @t213 () (not @t72))
% 45.87/46.03  (define @t214 () (or @t213 @t213 @t56 @t202 @t188 @t187))
% 45.87/46.03  (define @t215 () (or @t213 @t56 @t202 @t188 @t187))
% 45.87/46.03  (define @t216 () (forall @t77 @t215))
% 45.87/46.03  (define @t217 () (forall @t211 @t216))
% 45.87/46.03  (define @t218 () (forall (@list @t30 @t184 @t28) @t215))
% 45.87/46.03  (define @t219 () (@list @t28 @t30 @t184))
% 45.87/46.03  (define @t220 () (or @t202 @t188 @t187))
% 45.87/46.03  (define @t221 () (or @t213 @t220 @t56))
% 45.87/46.03  (define @t222 () (forall @t219 @t221))
% 45.87/46.03  (define @t223 () (forall @t192 @t221))
% 45.87/46.03  (define @t224 () (forall @t192 @t220))
% 45.87/46.03  (define @t225 () (or @t213 @t224 @t56))
% 45.87/46.03  (define @t226 () (* -1 @t62))
% 45.87/46.03  (define @t227 () (not (>= (+ tptp.h_i @t226) 0)))
% 45.87/46.03  (define @t228 () (not (>= @t62 0)))
% 45.87/46.03  (define @t229 () (not @t66))
% 45.87/46.03  (define @t230 () (or @t229 @t228 @t227))
% 45.87/46.03  (define @t231 () (@list @t62))
% 45.87/46.03  (define @t232 () (forall @t231 @t230))
% 45.87/46.03  (define @t233 () (not @t232))
% 45.87/46.03  (define @t234 () (not @t233))
% 45.87/46.03  (define @t235 () (or @t213 @t234 @t56))
% 45.87/46.03  (define @t236 () (and @t72 @t233 @t55))
% 45.87/46.03  (define @t237 () (forall @t60 (not @t236)))
% 45.87/46.03  (define @t238 () (not @t237))
% 45.87/46.03  (define @t239 () (not (= tptp.h_i tptp.h_i)))
% 45.87/46.03  (define @t240 () (or @t239 @t229 @t228 @t227))
% 45.87/46.03  (define @t241 () (+ @t61 @t226))
% 45.87/46.03  (define @t242 () (>= @t241 0))
% 45.87/46.03  (define @t243 () (not @t242))
% 45.87/46.03  (define @t244 () (= tptp.h_i @t61))
% 45.87/46.03  (define @t245 () (not @t244))
% 45.87/46.03  (define @t246 () (@list @t61))
% 45.87/46.03  (define @t247 () (* 1 (- @t61 tptp.h_i)))
% 45.87/46.03  (define @t248 () (* -1 (- tptp.h_i @t61)))
% 45.87/46.03  (define @t249 () (or @t245 @t245 @t229 @t228 @t243))
% 45.87/46.03  (define @t250 () (or @t245 @t229 @t228 @t243))
% 45.87/46.03  (define @t251 () (forall @t246 @t250))
% 45.87/46.03  (define @t252 () (forall @t231 @t251))
% 45.87/46.03  (define @t253 () (forall (@list @t62 @t61) @t250))
% 45.87/46.03  (define @t254 () (@list @t61 @t62))
% 45.87/46.03  (define @t255 () (+ @t62 1))
% 45.87/46.03  (define @t256 () (+ 0 @t226))
% 45.87/46.03  (define @t257 () (>= @t256 1))
% 45.87/46.03  (define @t258 () (= 0 0))
% 45.87/46.03  (define @t259 () (not @t258))
% 45.87/46.03  (define @t260 () (or @t259 @t245 @t229 @t257 @t243))
% 45.87/46.03  (define @t261 () (+ @t64 @t226))
% 45.87/46.03  (define @t262 () (>= @t261 1))
% 45.87/46.03  (define @t263 () (not @t68))
% 45.87/46.03  (define @t264 () (or @t263 @t263 @t245 @t229 @t262 @t243))
% 45.87/46.03  (define @t265 () (@list @t64))
% 45.87/46.03  (define @t266 () (or @t263 @t245 @t229 @t262 @t243))
% 45.87/46.03  (define @t267 () (forall @t265 @t266))
% 45.87/46.03  (define @t268 () (forall @t254 @t267))
% 45.87/46.03  (define @t269 () (forall (@list @t61 @t62 @t64) @t266))
% 45.87/46.03  (define @t270 () (not @t262))
% 45.87/46.03  (define @t271 () (not @t270))
% 45.87/46.03  (define @t272 () (or @t263 @t245 @t229 @t271 @t243))
% 45.87/46.03  (define @t273 () (and @t68 @t244 @t66 @t270 @t242))
% 45.87/46.03  (define @t274 () (forall @t70 (not @t273)))
% 45.87/46.03  (define @t275 () (not @t274))
% 45.87/46.03  (define @t276 () (>= @t64 @t255))
% 45.87/46.03  (define @t277 () (or @t148 @t164))
% 45.87/46.03  (define @t278 () (not @t75))
% 45.87/46.03  (define @t279 () (or @t151 @t151 @t278))
% 45.87/46.03  (define @t280 () (or @t151 @t278))
% 45.87/46.03  (define @t281 () (forall @t77 (not @t76)))
% 45.87/46.03  (define @t282 () (not @t281))
% 45.87/46.03  (define @t283 () (or @t128 @t171))
% 45.87/46.03  (define @t284 () (tptp.in_building_p @t35 @t30))
% 45.87/46.03  (define @t285 () (or @t204 @t204 @t284))
% 45.87/46.03  (define @t286 () (or @t204 @t284))
% 45.87/46.03  (define @t287 () (or @t148 @t204 @t284))
% 45.87/46.03  (define @t288 () (or @t151 @t151 @t204 @t79))
% 45.87/46.03  (define @t289 () (or @t151 @t204 @t79))
% 45.87/46.03  (define @t290 () (forall @t77 @t289))
% 45.87/46.03  (define @t291 () (forall @t141 @t290))
% 45.87/46.03  (define @t292 () (@list @t30 @t28))
% 45.87/46.03  (define @t293 () (forall @t292 @t289))
% 45.87/46.03  (define @t294 () (not @t80))
% 45.87/46.03  (define @t295 () (or @t151 @t204 @t294))
% 45.87/46.03  (define @t296 () (and @t36 @t203 @t80))
% 45.87/46.03  (define @t297 () (forall @t60 (not @t296)))
% 45.87/46.03  (define @t298 () (not @t297))
% 45.87/46.03  (define @t299 () (@var "BOUND_VARIABLE_8390" Int))
% 45.87/46.03  (define @t300 () (not (>= (+ tptp.h_i (* -1 @t299)) 0)))
% 45.87/46.03  (define @t301 () (not (>= @t299 0)))
% 45.87/46.03  (define @t302 () (tptp.f__integer__ @t299))
% 45.87/46.03  (define @t303 () (tptp.in_building @t35 @t302))
% 45.87/46.03  (define @t304 () (or @t303 @t164 @t301 @t300))
% 45.87/46.03  (define @t305 () (@list @t35 @t299))
% 45.87/46.03  (define @t306 () (forall @t305 @t304))
% 45.87/46.03  (define @t307 () (@quantifiers_skolemize @t306 1))
% 45.87/46.03  (define @t308 () (@quantifiers_skolemize @t306 0))
% 45.87/46.03  (define @t309 () (not (= @t302 @t302)))
% 45.87/46.03  (define @t310 () (or @t303 @t164 @t309 @t301 @t300))
% 45.87/46.03  (define @t311 () (not (= @t31 @t302)))
% 45.87/46.03  (define @t312 () (tptp.in_building @t35 @t31))
% 45.87/46.03  (define @t313 () (or @t311 @t312 @t164 @t311 @t301 @t300))
% 45.87/46.03  (define @t314 () (or @t312 @t164 @t311 @t301 @t300))
% 45.87/46.03  (define @t315 () (forall @t107 @t314))
% 45.87/46.03  (define @t316 () (forall @t305 @t315))
% 45.87/46.03  (define @t317 () (forall (@list @t35 @t299 @t31) @t314))
% 45.87/46.03  (define @t318 () (@list @t35 @t31 @t299))
% 45.87/46.03  (define @t319 () (or @t311 @t301 @t300))
% 45.87/46.03  (define @t320 () (or @t312 @t164 @t319))
% 45.87/46.03  (define @t321 () (forall @t318 @t320))
% 45.87/46.03  (define @t322 () (@list @t299))
% 45.87/46.03  (define @t323 () (forall @t322 @t320))
% 45.87/46.03  (define @t324 () (forall @t322 @t319))
% 45.87/46.03  (define @t325 () (or @t312 @t164 @t324))
% 45.87/46.03  (define @t326 () (not @t312))
% 45.87/46.03  (define @t327 () (not @t326))
% 45.87/46.03  (define @t328 () (or @t327 @t164 @t195))
% 45.87/46.03  (define @t329 () (or @t128 @t312))
% 45.87/46.03  (define @t330 () (tptp.in_building @t35 @t30))
% 45.87/46.03  (define @t331 () (or @t204 @t204 @t330))
% 45.87/46.03  (define @t332 () (or @t204 @t330))
% 45.87/46.03  (define @t333 () (or @t148 @t204 @t330))
% 45.87/46.03  (define @t334 () (or @t151 @t151 @t204 @t93))
% 45.87/46.03  (define @t335 () (or @t151 @t204 @t93))
% 45.87/46.03  (define @t336 () (forall @t77 @t335))
% 45.87/46.03  (define @t337 () (forall @t141 @t336))
% 45.87/46.03  (define @t338 () (forall @t292 @t335))
% 45.87/46.03  (define @t339 () (not @t94))
% 45.87/46.03  (define @t340 () (or @t151 @t204 @t339))
% 45.87/46.03  (define @t341 () (and @t36 @t203 @t94))
% 45.87/46.03  (define @t342 () (forall @t60 (not @t341)))
% 45.87/46.03  (define @t343 () (not @t342))
% 45.87/46.03  (define @t344 () (>= (+ tptp.h_i (* -1 @t307)) 0))
% 45.87/46.03  (define @t345 () (not @t344))
% 45.87/46.03  (define @t346 () (>= @t307 0))
% 45.87/46.03  (define @t347 () (not @t346))
% 45.87/46.03  (define @t348 () (tptp.person @t308))
% 45.87/46.03  (define @t349 () (not @t348))
% 45.87/46.03  (define @t350 () (tptp.f__integer__ @t307))
% 45.87/46.03  (define @t351 () (tptp.in_building @t308 @t350))
% 45.87/46.03  (define @t352 () (or @t351 @t349 @t347 @t345))
% 45.87/46.03  (define @t353 () (@list true))
% 45.87/46.03  (define @t354 () (@list @t352))
% 45.87/46.03  (define @t355 () (tptp.in_building_p @t308 @t350))
% 45.87/46.03  (define @t356 () (or @t355 @t349 @t347 @t345))
% 45.87/46.03  (define @t357 () (@list @t308 @t350))
% 45.87/46.03  (define @t358 () (forall @t101 (not (tptp.in @t308 @t33 @t350))))
% 45.87/46.03  (define @t359 () (not @t358))
% 45.87/46.03  (define @t360 () (= @t351 @t359))
% 45.87/46.03  (define @t361 () (not @t360))
% 45.87/46.03  (define @t362 () (@list true false))
% 45.87/46.03  (define @t363 () (= @t359 @t355))
% 45.87/46.03  (define @t364 () (not @t363))
% 45.87/46.03  (define @t365 () (forall @t44 (= @t53 @t102)))
% 45.87/46.03  (define @t366 () (= @t355 @t359))
% 45.87/46.03  (assume @p1 (forall @t6 (= @t5 (exists @t4 (= @t3 @t2)))))
% 45.87/46.03  (assume @p2 (forall (@list @t8) (= (tptp.p__is_symbolic__ @t8) (exists (@list @t7) (= @t8 (tptp.f__symbolic__ @t7))))))
% 45.87/46.03  (assume @p3 (forall @t6 (or (= @t3 tptp.c__infimum__) @t5 (tptp.p__is_symbolic__ @t3) (= @t3 tptp.c__supremum__))))
% 45.87/46.03  (assume @p4 (forall @t13 (= (= @t12 @t11) (= @t10 @t9))))
% 45.87/46.03  (assume @p5 (forall (@list @t15 @t14) (= (= (tptp.f__symbolic__ @t15) (tptp.f__symbolic__ @t14)) (= @t15 @t14))))
% 45.87/46.03  (assume @p6 (forall @t13 (= (tptp.p__less_equal__ @t12 @t11) (<= @t10 @t9))))
% 45.87/46.03  (assume @p7 (forall @t20 (=> (and @t19 @t18) @t17)))
% 45.87/46.03  (assume @p8 (forall (@list @t8 @t16 @t21) (=> (and @t19 (tptp.p__less_equal__ @t16 @t21)) (tptp.p__less_equal__ @t8 @t21))))
% 45.87/46.03  (assume @p9 (forall @t20 (or @t19 @t18)))
% 45.87/46.03  (assume @p10 (forall @t20 (= (tptp.p__less__ @t8 @t16) (and @t19 @t22))))
% 45.87/46.03  (assume @p11 (forall @t20 (= (tptp.p__greater_equal__ @t8 @t16) @t18)))
% 45.87/46.03  (assume @p12 (forall @t20 (= (tptp.p__greater__ @t8 @t16) (and @t18 @t22))))
% 45.87/46.03  (assume @p13 (forall @t4 (tptp.p__less__ tptp.c__infimum__ @t2)))
% 45.87/46.03  (assume @p14 (forall (@list @t1 @t23) (tptp.p__less__ @t2 @t24)))
% 45.87/46.03  (assume @p15 (forall (@list @t23) (tptp.p__less__ @t24 tptp.c__supremum__)))
% 45.87/46.03  (assume @p16 (>= tptp.h_i 0))
% 45.87/46.03  (assume @p17 (forall (@list @t25 @t27) (=> (tptp.in0 @t25 @t27) @t26)))
% 45.87/46.03  (assume @p18 (forall (@list @t25 @t27 @t28) (=> (tptp.goto @t25 @t27 @t28) @t26)))
% 45.87/46.03  (assume @p19 (forall @t44 (= (tptp.go @t41 @t39) (exists @t43 (and @t42 @t40 @t38)))))
% 45.87/46.03  (assume @p20 @t52)
% 45.87/46.03  (assume @p21 @t54)
% 45.87/46.03  (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)))
% 45.87/46.03  (assume @p23 @t86)
% 45.87/46.03  (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))))))))
% 45.87/46.03  (assume @p25 @t99)
% 45.87/46.03  (assume @p26 true)
% 45.87/46.03  (step @p27 :rule eq-symm :args (@t102 @t53))
% 45.87/46.03  (step @p28 :rule refl :args (@t53))
% 45.87/46.03  (step @p29 :rule aci_norm :args ((= (or false @t100) @t100)))
% 45.87/46.03  (step @p30 :rule refl :args (@t100))
% 45.87/46.03  (step @p31 :rule evaluate :args ((not true)))
% 45.87/46.03  (step @p32 :rule eq-refl :args (@t39))
% 45.87/46.03  (step @p33 :rule cong :premises (@p32) :args (@t103))
% 45.87/46.03  (step @p34 :rule trans :premises (@p33 @p31))
% 45.87/46.03  (step @p35 :rule nary_cong :premises (@p34 @p30) :args (@t104))
% 45.87/46.03  (step @p36 :rule trans :premises (@p35 @p29))
% 45.87/46.03  (step @p37 :rule cong :premises (@p36) :args ((forall @t101 @t104)))
% 45.87/46.03  (step @p38 :rule quant-var-elim-eq :args ((= (forall @t107 (or (not (= @t31 @t39)) @t106 @t105)) @t104)))
% 45.87/46.03  (step @p39 :rule refl :args (@t105))
% 45.87/46.03  (step @p40 :rule refl :args (@t106))
% 45.87/46.03  (step @p41 :rule eq-symm :args (@t39 @t31))
% 45.87/46.03  (step @p42 :rule cong :premises (@p41) :args (@t106))
% 45.87/46.03  (step @p43 :rule nary_cong :premises (@p42 @p40 @p39) :args (@t108))
% 45.87/46.03  (step @p44 :rule aci_norm :args ((= @t109 @t108)))
% 45.87/46.03  (step @p45 :rule trans :premises (@p44 @p43))
% 45.87/46.03  (step @p46 :rule cong :premises (@p45) :args (@t110))
% 45.87/46.03  (step @p47 :rule trans :premises (@p46 @p38))
% 45.87/46.03  (step @p48 :rule cong :premises (@p47) :args (@t111))
% 45.87/46.03  (step @p49 :rule quant-merge-prenex :args ((= @t111 @t112)))
% 45.87/46.03  (step @p50 :rule symm :premises (@p49))
% 45.87/46.03  (step @p51 :rule quant_var_reordering :args ((= (forall @t113 @t109) @t112)))
% 45.87/46.03  (step @p52 :rule trans :premises (@p51 @p50 @p48))
% 45.87/46.03  (step @p53 :rule trans :premises (@p52 @p37))
% 45.87/46.03  (step @p54 :rule aci_norm :args ((= (or false @t106 @t105) @t109)))
% 45.87/46.03  (step @p55 :rule refl :args (@t105))
% 45.87/46.03  (step @p56 :rule refl :args (@t106))
% 45.87/46.03  (step @p57 :rule eq-refl :args (@t41))
% 45.87/46.03  (step @p58 :rule cong :premises (@p57) :args (@t114))
% 45.87/46.03  (step @p59 :rule trans :premises (@p58 @p31))
% 45.87/46.03  (step @p60 :rule nary_cong :premises (@p59 @p56 @p55) :args (@t115))
% 45.87/46.03  (step @p61 :rule trans :premises (@p60 @p54))
% 45.87/46.03  (step @p62 :rule cong :premises (@p61) :args ((forall @t113 @t115)))
% 45.87/46.03  (step @p63 :rule trans :premises (@p62 @p53))
% 45.87/46.03  (step @p64 :rule quant-var-elim-eq :args ((= (forall @t119 (or (not (= @t35 @t41)) @t118 @t106 @t117)) @t115)))
% 45.87/46.03  (step @p65 :rule refl :args (@t117))
% 45.87/46.03  (step @p66 :rule refl :args (@t118))
% 45.87/46.03  (step @p67 :rule eq-symm :args (@t41 @t35))
% 45.87/46.03  (step @p68 :rule cong :premises (@p67) :args (@t118))
% 45.87/46.03  (step @p69 :rule nary_cong :premises (@p68 @p66 @p40 @p65) :args (@t120))
% 45.87/46.03  (step @p70 :rule aci_norm :args ((= @t121 @t120)))
% 45.87/46.03  (step @p71 :rule trans :premises (@p70 @p69))
% 45.87/46.03  (step @p72 :rule cong :premises (@p71) :args (@t122))
% 45.87/46.03  (step @p73 :rule trans :premises (@p72 @p64))
% 45.87/46.03  (step @p74 :rule cong :premises (@p73) :args (@t123))
% 45.87/46.03  (step @p75 :rule quant-merge-prenex :args ((= @t123 @t124)))
% 45.87/46.03  (step @p76 :rule symm :premises (@p75))
% 45.87/46.03  (step @p77 :rule quant_var_reordering :args ((= (forall @t43 @t121) @t124)))
% 45.87/46.03  (step @p78 :rule trans :premises (@p77 @p76 @p74))
% 45.87/46.03  (step @p79 :rule trans :premises (@p78 @p63))
% 45.87/46.03  (step @p80 :rule aci_norm :args ((= (or @t118 (or @t106 @t117)) @t121)))
% 45.87/46.03  (step @p81 :rule bool-and-de-morgan :args (@t40 @t116 true))
% 45.87/46.03  (step @p82 :rule nary_cong :premises (@p66 @p81) :args ((or @t118 (not (and @t40 @t116)))))
% 45.87/46.03  (step @p83 :rule bool-and-de-morgan :args (@t42 @t40 (and @t116)))
% 45.87/46.03  (step @p84 :rule trans :premises (@p83 @p82))
% 45.87/46.03  (step @p85 :rule trans :premises (@p84 @p80))
% 45.87/46.03  (step @p86 :rule cong :premises (@p85) :args (@t126))
% 45.87/46.03  (step @p87 :rule trans :premises (@p86 @p79))
% 45.87/46.03  (step @p88 :rule cong :premises (@p87) :args (@t127))
% 45.87/46.03  (step @p89 :rule exists-elim :args ((= (exists @t43 @t125) @t127)))
% 45.87/46.03  (step @p90 :rule trans :premises (@p89 @p88))
% 45.87/46.03  (step @p91 :rule bool-double-not-elim :args (@t116))
% 45.87/46.03  (step @p92 :rule aci_norm :args ((= (or false @t117) @t117)))
% 45.87/46.03  (step @p93 :rule refl :args (@t117))
% 45.87/46.03  (step @p94 :rule eq-refl :args (@t31))
% 45.87/46.03  (step @p95 :rule cong :premises (@p94) :args (@t128))
% 45.87/46.03  (step @p96 :rule trans :premises (@p95 @p31))
% 45.87/46.03  (step @p97 :rule nary_cong :premises (@p96 @p93) :args (@t129))
% 45.87/46.03  (step @p98 :rule trans :premises (@p97 @p92))
% 45.87/46.03  (step @p99 :rule quant-var-elim-eq :args ((= (forall @t133 (or (not @t32) @t132 @t130)) @t129)))
% 45.87/46.03  (step @p100 :rule refl :args (@t130))
% 45.87/46.03  (step @p101 :rule refl :args (@t132))
% 45.87/46.03  (step @p102 :rule eq-symm :args (@t31 @t29))
% 45.87/46.03  (step @p103 :rule cong :premises (@p102) :args (@t132))
% 45.87/46.03  (step @p104 :rule nary_cong :premises (@p103 @p101 @p100) :args (@t134))
% 45.87/46.03  (step @p105 :rule aci_norm :args ((= @t135 @t134)))
% 45.87/46.03  (step @p106 :rule trans :premises (@p105 @p104))
% 45.87/46.03  (step @p107 :rule cong :premises (@p106) :args ((forall @t133 @t135)))
% 45.87/46.03  (step @p108 :rule trans :premises (@p107 @p99))
% 45.87/46.03  (step @p109 :rule trans :premises (@p108 @p98))
% 45.87/46.03  (step @p110 :rule aci_norm :args ((= (or false @t132 @t130) @t135)))
% 45.87/46.03  (step @p111 :rule refl :args (@t130))
% 45.87/46.03  (step @p112 :rule refl :args (@t132))
% 45.87/46.03  (step @p113 :rule eq-refl :args (@t33))
% 45.87/46.03  (step @p114 :rule cong :premises (@p113) :args (@t136))
% 45.87/46.03  (step @p115 :rule trans :premises (@p114 @p31))
% 45.87/46.03  (step @p116 :rule nary_cong :premises (@p115 @p112 @p111) :args (@t137))
% 45.87/46.03  (step @p117 :rule trans :premises (@p116 @p110))
% 45.87/46.03  (step @p118 :rule cong :premises (@p117) :args ((forall @t133 @t137)))
% 45.87/46.03  (step @p119 :rule trans :premises (@p118 @p109))
% 45.87/46.03  (step @p120 :rule quant-var-elim-eq :args ((= (forall @t141 (or (not @t34) @t140 @t132 @t138)) @t137)))
% 45.87/46.03  (step @p121 :rule refl :args (@t138))
% 45.87/46.03  (step @p122 :rule refl :args (@t140))
% 45.87/46.03  (step @p123 :rule eq-symm :args (@t33 @t30))
% 45.87/46.03  (step @p124 :rule cong :premises (@p123) :args (@t140))
% 45.87/46.03  (step @p125 :rule nary_cong :premises (@p124 @p122 @p101 @p121) :args (@t142))
% 45.87/46.03  (step @p126 :rule aci_norm :args ((= @t143 @t142)))
% 45.87/46.03  (step @p127 :rule trans :premises (@p126 @p125))
% 45.87/46.03  (step @p128 :rule cong :premises (@p127) :args (@t144))
% 45.87/46.03  (step @p129 :rule trans :premises (@p128 @p120))
% 45.87/46.03  (step @p130 :rule cong :premises (@p129) :args (@t145))
% 45.87/46.03  (step @p131 :rule quant-merge-prenex :args ((= @t145 @t146)))
% 45.87/46.03  (step @p132 :rule symm :premises (@p131))
% 45.87/46.03  (step @p133 :rule quant_var_reordering :args ((= (forall @t147 @t143) @t146)))
% 45.87/46.03  (step @p134 :rule trans :premises (@p133 @p132 @p130))
% 45.87/46.03  (step @p135 :rule trans :premises (@p134 @p119))
% 45.87/46.03  (step @p136 :rule aci_norm :args ((= (or false @t140 @t132 @t138) @t143)))
% 45.87/46.03  (step @p137 :rule refl :args (@t138))
% 45.87/46.03  (step @p138 :rule refl :args (@t140))
% 45.87/46.03  (step @p139 :rule eq-refl :args (@t35))
% 45.87/46.03  (step @p140 :rule cong :premises (@p139) :args (@t148))
% 45.87/46.03  (step @p141 :rule trans :premises (@p140 @p31))
% 45.87/46.03  (step @p142 :rule nary_cong :premises (@p141 @p138 @p112 @p137) :args (@t149))
% 45.87/46.03  (step @p143 :rule trans :premises (@p142 @p136))
% 45.87/46.03  (step @p144 :rule cong :premises (@p143) :args ((forall @t147 @t149)))
% 45.87/46.03  (step @p145 :rule trans :premises (@p144 @p135))
% 45.87/46.03  (step @p146 :rule quant-var-elim-eq :args ((= (forall @t77 @t152) @t149)))
% 45.87/46.03  (step @p147 :rule aci_norm :args ((= @t153 @t152)))
% 45.87/46.03  (step @p148 :rule cong :premises (@p147) :args (@t154))
% 45.87/46.03  (step @p149 :rule trans :premises (@p148 @p146))
% 45.87/46.03  (step @p150 :rule cong :premises (@p149) :args (@t155))
% 45.87/46.03  (step @p151 :rule quant-merge-prenex :args ((= @t155 @t156)))
% 45.87/46.03  (step @p152 :rule symm :premises (@p151))
% 45.87/46.03  (step @p153 :rule quant_var_reordering :args ((= (forall @t37 @t153) @t156)))
% 45.87/46.03  (step @p154 :rule trans :premises (@p153 @p152 @p150))
% 45.87/46.03  (step @p155 :rule trans :premises (@p154 @p145))
% 45.87/46.03  (step @p156 :rule aci_norm :args ((= (or @t151 (or @t140 (or @t132 @t150))) @t153)))
% 45.87/46.03  (step @p157 :rule bool-and-de-morgan :args (@t131 @t45 true))
% 45.87/46.03  (step @p158 :rule nary_cong :premises (@p122 @p157) :args ((or @t140 (not (and @t131 @t45)))))
% 45.87/46.03  (step @p159 :rule bool-and-de-morgan :args (@t139 @t131 (and @t45)))
% 45.87/46.03  (step @p160 :rule trans :premises (@p159 @p158))
% 45.87/46.03  (step @p161 :rule refl :args (@t151))
% 45.87/46.03  (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or @t151 (not (and @t139 @t131 @t45)))))
% 45.87/46.03  (step @p163 :rule bool-and-de-morgan :args (@t36 @t139 (and @t131 @t45)))
% 45.87/46.03  (step @p164 :rule trans :premises (@p163 @p162))
% 45.87/46.03  (step @p165 :rule trans :premises (@p164 @p156))
% 45.87/46.03  (step @p166 :rule cong :premises (@p165) :args (@t158))
% 45.87/46.03  (step @p167 :rule trans :premises (@p166 @p155))
% 45.87/46.03  (step @p168 :rule cong :premises (@p167) :args (@t159))
% 45.87/46.03  (step @p169 :rule trans :premises (@p168 @p91))
% 45.87/46.03  (step @p170 :rule exists-elim :args ((= (exists @t37 @t157) @t159)))
% 45.87/46.03  (step @p171 :rule trans :premises (@p170 @p169))
% 45.87/46.03  (step @p172 :rule refl :args (@t45))
% 45.87/46.03  (step @p173 :rule eq-symm :args (@t29 @t31))
% 45.87/46.03  (step @p174 :rule eq-symm :args (@t30 @t33))
% 45.87/46.03  (step @p175 :rule refl :args (@t36))
% 45.87/46.03  (step @p176 :rule nary_cong :premises (@p175 @p174 @p173 @p172) :args (@t46))
% 45.87/46.03  (step @p177 :rule cong :premises (@p176) :args (@t47))
% 45.87/46.03  (step @p178 :rule trans :premises (@p177 @p171))
% 45.87/46.03  (step @p179 :rule refl :args (@t40))
% 45.87/46.03  (step @p180 :rule refl :args (@t42))
% 45.87/46.03  (step @p181 :rule nary_cong :premises (@p180 @p179 @p178) :args (@t48))
% 45.87/46.03  (step @p182 :rule cong :premises (@p181) :args (@t49))
% 45.87/46.03  (step @p183 :rule trans :premises (@p182 @p90))
% 45.87/46.03  (step @p184 :rule cong :premises (@p183 @p28) :args ((= @t49 @t53)))
% 45.87/46.03  (step @p185 :rule trans :premises (@p184 @p27))
% 45.87/46.03  (step @p186 :rule eq-symm :args (@t53 @t49))
% 45.87/46.03  (step @p187 :rule trans :premises (@p186 @p185))
% 45.87/46.03  (step @p188 :rule cong :premises (@p187) :args (@t54))
% 45.87/46.03  (step @p189 :rule eq_resolve :premises (@p21 @p188))
% 45.87/46.03  (step @p190 :rule aci_norm :args ((= (or @t166 @t164 false @t162 @t161) (or @t166 @t164 @t162 @t161))))
% 45.87/46.03  (step @p191 :rule refl :args (@t161))
% 45.87/46.03  (step @p192 :rule refl :args (@t162))
% 45.87/46.03  (step @p193 :rule eq-refl :args (@t165))
% 45.87/46.03  (step @p194 :rule cong :premises (@p193) :args (@t167))
% 45.87/46.03  (step @p195 :rule trans :premises (@p194 @p31))
% 45.87/46.03  (step @p196 :rule refl :args (@t164))
% 45.87/46.03  (step @p197 :rule refl :args (@t166))
% 45.87/46.03  (step @p198 :rule nary_cong :premises (@p197 @p196 @p195 @p192 @p191) :args (@t168))
% 45.87/46.03  (step @p199 :rule trans :premises (@p198 @p190))
% 45.87/46.03  (step @p200 :rule cong :premises (@p199) :args ((forall @t169 @t168)))
% 45.87/46.03  (step @p201 :rule quant-var-elim-eq :args ((= (forall @t107 @t172) @t168)))
% 45.87/46.03  (step @p202 :rule aci_norm :args ((= @t173 @t172)))
% 45.87/46.03  (step @p203 :rule cong :premises (@p202) :args (@t174))
% 45.87/46.03  (step @p204 :rule trans :premises (@p203 @p201))
% 45.87/46.03  (step @p205 :rule cong :premises (@p204) :args (@t175))
% 45.87/46.03  (step @p206 :rule quant-merge-prenex :args ((= @t175 @t176)))
% 45.87/46.03  (step @p207 :rule symm :premises (@p206))
% 45.87/46.03  (step @p208 :rule quant_var_reordering :args ((= (forall @t177 @t173) @t176)))
% 45.87/46.03  (step @p209 :rule trans :premises (@p208 @p207 @p205))
% 45.87/46.03  (step @p210 :rule trans :premises (@p209 @p200))
% 45.87/46.03  (step @p211 :rule aci_norm :args ((= @t179 @t173)))
% 45.87/46.03  (step @p212 :rule cong :premises (@p211) :args (@t180))
% 45.87/46.03  (step @p213 :rule trans :premises (@p212 @p210))
% 45.87/46.03  (step @p214 :rule quant-merge-prenex :args ((= (forall @t85 @t182) @t180)))
% 45.87/46.03  (step @p215 :rule alpha_equiv :args (@t183 (@list @t160) @t185))
% 45.87/46.03  (step @p216 :rule refl :args (@t164))
% 45.87/46.03  (step @p217 :rule refl :args (@t171))
% 45.87/46.03  (step @p218 :rule nary_cong :premises (@p217 @p216 @p215) :args (@t186))
% 45.87/46.03  (step @p219 :rule quant-miniscope-or :args ((= @t182 @t186)))
% 45.87/46.03  (step @p220 :rule trans :premises (@p219 @p218))
% 45.87/46.03  (step @p221 :rule symm :premises (@p220))
% 45.87/46.03  (step @p222 :rule cong :premises (@p221) :args ((forall @t85 (or @t171 @t164 @t193))))
% 45.87/46.03  (step @p223 :rule trans :premises (@p222 @p214))
% 45.87/46.03  (step @p224 :rule trans :premises (@p223 @p213))
% 45.87/46.03  (step @p225 :rule bool-double-not-elim :args (@t193))
% 45.87/46.03  (step @p226 :rule bool-double-not-elim :args (@t171))
% 45.87/46.03  (step @p227 :rule nary_cong :premises (@p226 @p216 @p225) :args (@t198))
% 45.87/46.03  (step @p228 :rule aci_norm :args ((= (or @t197 @t199) @t198)))
% 45.87/46.03  (step @p229 :rule trans :premises (@p228 @p227))
% 45.87/46.03  (step @p230 :rule bool-and-de-morgan :args (@t163 @t194 true))
% 45.87/46.03  (step @p231 :rule refl :args (@t197))
% 45.87/46.03  (step @p232 :rule nary_cong :premises (@p231 @p230) :args ((or @t197 @t200)))
% 45.87/46.03  (step @p233 :rule bool-and-de-morgan :args (@t196 @t163 (and @t194)))
% 45.87/46.03  (step @p234 :rule trans :premises (@p233 @p232))
% 45.87/46.03  (step @p235 :rule trans :premises (@p234 @p229))
% 45.87/46.03  (step @p236 :rule cong :premises (@p235) :args ((forall @t85 (not (and @t196 @t163 @t194)))))
% 45.87/46.03  (step @p237 :rule trans :premises (@p236 @p224))
% 45.87/46.03  (step @p238 :rule aci_norm :args ((= (or false @t190 @t188 @t187) @t191)))
% 45.87/46.03  (step @p239 :rule refl :args (@t187))
% 45.87/46.03  (step @p240 :rule refl :args (@t188))
% 45.87/46.03  (step @p241 :rule refl :args (@t190))
% 45.87/46.03  (step @p242 :rule nary_cong :premises (@p96 @p241 @p240 @p239) :args (@t201))
% 45.87/46.03  (step @p243 :rule trans :premises (@p242 @p238))
% 45.87/46.03  (step @p244 :rule cong :premises (@p243) :args ((forall @t192 @t201)))
% 45.87/46.03  (step @p245 :rule quant-var-elim-eq :args ((= (forall @t141 (or @t205 @t204 @t202 @t188 @t187)) @t201)))
% 45.87/46.03  (step @p246 :rule refl :args (@t187))
% 45.87/46.03  (step @p247 :rule refl :args (@t188))
% 45.87/46.03  (step @p248 :rule refl :args (@t202))
% 45.87/46.03  (step @p249 :rule refl :args (@t204))
% 45.87/46.03  (step @p250 :rule eq-symm :args (@t31 @t30))
% 45.87/46.03  (step @p251 :rule cong :premises (@p250) :args (@t204))
% 45.87/46.03  (step @p252 :rule nary_cong :premises (@p251 @p249 @p248 @p247 @p246) :args (@t206))
% 45.87/46.03  (step @p253 :rule aci_norm :args ((= @t207 @t206)))
% 45.87/46.03  (step @p254 :rule trans :premises (@p253 @p252))
% 45.87/46.03  (step @p255 :rule cong :premises (@p254) :args (@t208))
% 45.87/46.03  (step @p256 :rule trans :premises (@p255 @p245))
% 45.87/46.03  (step @p257 :rule cong :premises (@p256) :args (@t209))
% 45.87/46.03  (step @p258 :rule quant-merge-prenex :args ((= @t209 @t210)))
% 45.87/46.03  (step @p259 :rule symm :premises (@p258))
% 45.87/46.03  (step @p260 :rule quant_var_reordering :args ((= (forall @t211 @t207) @t210)))
% 45.87/46.03  (step @p261 :rule trans :premises (@p260 @p259 @p257))
% 45.87/46.03  (step @p262 :rule trans :premises (@p261 @p244))
% 45.87/46.03  (step @p263 :rule aci_norm :args ((= (or false @t204 @t202 @t188 @t187) @t207)))
% 45.87/46.03  (step @p264 :rule refl :args (@t202))
% 45.87/46.03  (step @p265 :rule refl :args (@t204))
% 45.87/46.03  (step @p266 :rule nary_cong :premises (@p96 @p265 @p264 @p240 @p239) :args (@t212))
% 45.87/46.03  (step @p267 :rule trans :premises (@p266 @p263))
% 45.87/46.03  (step @p268 :rule cong :premises (@p267) :args ((forall @t211 @t212)))
% 45.87/46.03  (step @p269 :rule trans :premises (@p268 @p262))
% 45.87/46.03  (step @p270 :rule quant-var-elim-eq :args ((= (forall @t77 @t214) @t212)))
% 45.87/46.03  (step @p271 :rule aci_norm :args ((= @t215 @t214)))
% 45.87/46.03  (step @p272 :rule cong :premises (@p271) :args (@t216))
% 45.87/46.03  (step @p273 :rule trans :premises (@p272 @p270))
% 45.87/46.03  (step @p274 :rule cong :premises (@p273) :args (@t217))
% 45.87/46.03  (step @p275 :rule quant-merge-prenex :args ((= @t217 @t218)))
% 45.87/46.03  (step @p276 :rule symm :premises (@p275))
% 45.87/46.03  (step @p277 :rule quant_var_reordering :args ((= (forall @t219 @t215) @t218)))
% 45.87/46.03  (step @p278 :rule trans :premises (@p277 @p276 @p274))
% 45.87/46.03  (step @p279 :rule trans :premises (@p278 @p269))
% 45.87/46.03  (step @p280 :rule aci_norm :args ((= @t221 @t215)))
% 45.87/46.03  (step @p281 :rule cong :premises (@p280) :args (@t222))
% 45.87/46.03  (step @p282 :rule trans :premises (@p281 @p279))
% 45.87/46.03  (step @p283 :rule quant-merge-prenex :args ((= (forall @t60 @t223) @t222)))
% 45.87/46.03  (step @p284 :rule refl :args (@t56))
% 45.87/46.03  (step @p285 :rule alpha_equiv :args (@t224 @t185 (@list @t62)))
% 45.87/46.03  (step @p286 :rule refl :args (@t213))
% 45.87/46.03  (step @p287 :rule nary_cong :premises (@p286 @p285 @p284) :args (@t225))
% 45.87/46.03  (step @p288 :rule quant-miniscope-or :args ((= @t223 @t225)))
% 45.87/46.03  (step @p289 :rule trans :premises (@p288 @p287))
% 45.87/46.03  (step @p290 :rule symm :premises (@p289))
% 45.87/46.03  (step @p291 :rule cong :premises (@p290) :args ((forall @t60 (or @t213 @t232 @t56))))
% 45.87/46.03  (step @p292 :rule trans :premises (@p291 @p283))
% 45.87/46.03  (step @p293 :rule trans :premises (@p292 @p282))
% 45.87/46.03  (step @p294 :rule bool-double-not-elim :args (@t232))
% 45.87/46.03  (step @p295 :rule nary_cong :premises (@p286 @p294 @p284) :args (@t235))
% 45.87/46.03  (step @p296 :rule aci_norm :args ((= (or @t213 (or @t234 @t56)) @t235)))
% 45.87/46.03  (step @p297 :rule trans :premises (@p296 @p295))
% 45.87/46.03  (step @p298 :rule bool-and-de-morgan :args (@t233 @t55 true))
% 45.87/46.03  (step @p299 :rule nary_cong :premises (@p286 @p298) :args ((or @t213 (not (and @t233 @t55)))))
% 45.87/46.03  (step @p300 :rule bool-and-de-morgan :args (@t72 @t233 (and @t55)))
% 45.87/46.03  (step @p301 :rule trans :premises (@p300 @p299))
% 45.87/46.03  (step @p302 :rule trans :premises (@p301 @p297))
% 45.87/46.03  (step @p303 :rule cong :premises (@p302) :args (@t237))
% 45.87/46.03  (step @p304 :rule trans :premises (@p303 @p293))
% 45.87/46.03  (step @p305 :rule cong :premises (@p304) :args (@t238))
% 45.87/46.03  (step @p306 :rule exists-elim :args ((= (exists @t60 @t236) @t238)))
% 45.87/46.03  (step @p307 :rule trans :premises (@p306 @p305))
% 45.87/46.03  (step @p308 :rule refl :args (@t55))
% 45.87/46.03  (step @p309 :rule aci_norm :args ((= (or false @t229 @t228 @t227) @t230)))
% 45.87/46.03  (step @p310 :rule refl :args (@t227))
% 45.87/46.03  (step @p311 :rule refl :args (@t228))
% 45.87/46.03  (step @p312 :rule refl :args (@t229))
% 45.87/46.03  (step @p313 :rule eq-refl :args (tptp.h_i))
% 45.87/46.03  (step @p314 :rule cong :premises (@p313) :args (@t239))
% 45.87/46.03  (step @p315 :rule trans :premises (@p314 @p31))
% 45.87/46.03  (step @p316 :rule nary_cong :premises (@p315 @p312 @p311 @p310) :args (@t240))
% 45.87/46.03  (step @p317 :rule trans :premises (@p316 @p309))
% 45.87/46.03  (step @p318 :rule cong :premises (@p317) :args ((forall @t231 @t240)))
% 45.87/46.03  (step @p319 :rule quant-var-elim-eq :args ((= (forall @t246 (or (not @t67) @t245 @t229 @t228 @t243)) @t240)))
% 45.87/46.03  (step @p320 :rule refl :args (@t243))
% 45.87/46.03  (step @p321 :rule refl :args (@t228))
% 45.87/46.03  (step @p322 :rule refl :args (@t229))
% 45.87/46.03  (step @p323 :rule refl :args (@t245))
% 45.87/46.03  (step @p324 :rule arith_poly_norm :args ((= @t248 @t247)))
% 45.87/46.03  (step @p325 :rule arith_poly_norm_rel :premises (@p324) :args ((= @t244 @t67)))
% 45.87/46.03  (step @p326 :rule cong :premises (@p325) :args (@t245))
% 45.87/46.03  (step @p327 :rule nary_cong :premises (@p326 @p323 @p322 @p321 @p320) :args (@t249))
% 45.87/46.03  (step @p328 :rule aci_norm :args ((= @t250 @t249)))
% 45.87/46.03  (step @p329 :rule trans :premises (@p328 @p327))
% 45.87/46.03  (step @p330 :rule cong :premises (@p329) :args (@t251))
% 45.87/46.03  (step @p331 :rule trans :premises (@p330 @p319))
% 45.87/46.03  (step @p332 :rule cong :premises (@p331) :args (@t252))
% 45.87/46.03  (step @p333 :rule quant-merge-prenex :args ((= @t252 @t253)))
% 45.87/46.03  (step @p334 :rule symm :premises (@p333))
% 45.87/46.03  (step @p335 :rule quant_var_reordering :args ((= (forall @t254 @t250) @t253)))
% 45.87/46.03  (step @p336 :rule trans :premises (@p335 @p334 @p332))
% 45.87/46.03  (step @p337 :rule trans :premises (@p336 @p318))
% 45.87/46.03  (step @p338 :rule aci_norm :args ((= (or false @t245 @t229 @t228 @t243) @t250)))
% 45.87/46.03  (step @p339 :rule refl :args (@t243))
% 45.87/46.03  (step @p340 :rule arith_poly_norm :args ((= (* -1 (- 0 @t255)) (* -1 (- @t226 1)))))
% 45.87/46.03  (step @p341 :rule arith_poly_norm_rel :premises (@p340) :args ((= (>= 0 @t255) (>= @t226 1))))
% 45.87/46.03  (step @p342 :rule arith-geq-tighten :args (@t62 0))
% 45.87/46.03  (step @p343 :rule trans :premises (@p342 @p341))
% 45.87/46.03  (step @p344 :rule symm :premises (@p343))
% 45.87/46.03  (step @p345 :rule refl :args (1))
% 45.87/46.03  (step @p346 :rule arith_poly_norm :args ((= @t256 @t226)))
% 45.87/46.03  (step @p347 :rule cong :premises (@p346 @p345) :args (@t257))
% 45.87/46.03  (step @p348 :rule trans :premises (@p347 @p344))
% 45.87/46.03  (step @p349 :rule refl :args (@t245))
% 45.87/46.03  (step @p350 :rule evaluate :args (@t258))
% 45.87/46.03  (step @p351 :rule cong :premises (@p350) :args (@t259))
% 45.87/46.03  (step @p352 :rule trans :premises (@p351 @p31))
% 45.87/46.03  (step @p353 :rule nary_cong :premises (@p352 @p349 @p312 @p348 @p339) :args (@t260))
% 45.87/46.03  (step @p354 :rule trans :premises (@p353 @p338))
% 45.87/46.03  (step @p355 :rule cong :premises (@p354) :args ((forall @t254 @t260)))
% 45.87/46.03  (step @p356 :rule trans :premises (@p355 @p337))
% 45.87/46.03  (step @p357 :rule quant-var-elim-eq :args ((= (forall @t265 @t264) @t260)))
% 45.87/46.03  (step @p358 :rule aci_norm :args ((= @t266 @t264)))
% 45.87/46.03  (step @p359 :rule cong :premises (@p358) :args (@t267))
% 45.87/46.03  (step @p360 :rule trans :premises (@p359 @p357))
% 45.87/46.03  (step @p361 :rule cong :premises (@p360) :args (@t268))
% 45.87/46.03  (step @p362 :rule quant-merge-prenex :args ((= @t268 @t269)))
% 45.87/46.03  (step @p363 :rule symm :premises (@p362))
% 45.87/46.03  (step @p364 :rule quant_var_reordering :args ((= (forall @t70 @t266) @t269)))
% 45.87/46.03  (step @p365 :rule trans :premises (@p364 @p363 @p361))
% 45.87/46.03  (step @p366 :rule trans :premises (@p365 @p356))
% 45.87/46.03  (step @p367 :rule bool-double-not-elim :args (@t262))
% 45.87/46.03  (step @p368 :rule refl :args (@t263))
% 45.87/46.03  (step @p369 :rule nary_cong :premises (@p368 @p323 @p322 @p367 @p320) :args (@t272))
% 45.87/46.03  (step @p370 :rule aci_norm :args ((= (or @t263 (or @t245 (or @t229 (or @t271 @t243)))) @t272)))
% 45.87/46.03  (step @p371 :rule trans :premises (@p370 @p369))
% 45.87/46.03  (step @p372 :rule bool-and-de-morgan :args (@t270 @t242 true))
% 45.87/46.03  (step @p373 :rule nary_cong :premises (@p322 @p372) :args ((or @t229 (not (and @t270 @t242)))))
% 45.87/46.03  (step @p374 :rule bool-and-de-morgan :args (@t66 @t270 (and @t242)))
% 45.87/46.03  (step @p375 :rule trans :premises (@p374 @p373))
% 45.87/46.03  (step @p376 :rule nary_cong :premises (@p323 @p375) :args ((or @t245 (not (and @t66 @t270 @t242)))))
% 45.87/46.03  (step @p377 :rule bool-and-de-morgan :args (@t244 @t66 (and @t270 @t242)))
% 45.87/46.03  (step @p378 :rule trans :premises (@p377 @p376))
% 45.87/46.03  (step @p379 :rule nary_cong :premises (@p368 @p378) :args ((or @t263 (not (and @t244 @t66 @t270 @t242)))))
% 45.87/46.03  (step @p380 :rule bool-and-de-morgan :args (@t68 @t244 (and @t66 @t270 @t242)))
% 45.87/46.03  (step @p381 :rule trans :premises (@p380 @p379))
% 45.87/46.03  (step @p382 :rule trans :premises (@p381 @p371))
% 45.87/46.03  (step @p383 :rule cong :premises (@p382) :args (@t274))
% 45.87/46.03  (step @p384 :rule trans :premises (@p383 @p366))
% 45.87/46.03  (step @p385 :rule cong :premises (@p384) :args (@t275))
% 45.87/46.03  (step @p386 :rule exists-elim :args ((= (exists @t70 @t273) @t275)))
% 45.87/46.03  (step @p387 :rule trans :premises (@p386 @p385))
% 45.87/46.03  (step @p388 :rule arith_poly_norm :args ((= (* 1 (- @t61 @t62)) (* 1 (- @t241 0)))))
% 45.87/46.03  (step @p389 :rule arith_poly_norm_rel :premises (@p388) :args ((= (>= @t61 @t62) @t242)))
% 45.87/46.03  (step @p390 :rule arith-elim-leq :args (@t62 @t61))
% 45.87/46.03  (step @p391 :rule trans :premises (@p390 @p389))
% 45.87/46.03  (step @p392 :rule arith_poly_norm :args ((= (* -1 (- @t64 @t255)) (* -1 (- @t261 1)))))
% 45.87/46.03  (step @p393 :rule arith_poly_norm_rel :premises (@p392) :args ((= @t276 @t262)))
% 45.87/46.03  (step @p394 :rule cong :premises (@p393) :args ((not @t276)))
% 45.87/46.03  (step @p395 :rule arith-leq-norm :args (@t64 @t62))
% 45.87/46.03  (step @p396 :rule trans :premises (@p395 @p394))
% 45.87/46.03  (step @p397 :rule refl :args (@t66))
% 45.87/46.03  (step @p398 :rule arith_poly_norm :args ((= @t247 @t248)))
% 45.87/46.03  (step @p399 :rule arith_poly_norm_rel :premises (@p398) :args ((= @t67 @t244)))
% 45.87/46.03  (step @p400 :rule refl :args (@t68))
% 45.87/46.03  (step @p401 :rule nary_cong :premises (@p400 @p399 @p397 @p396 @p391) :args (@t69))
% 45.87/46.03  (step @p402 :rule cong :premises (@p401) :args (@t71))
% 45.87/46.03  (step @p403 :rule trans :premises (@p402 @p387))
% 45.87/46.03  (step @p404 :rule refl :args (@t72))
% 45.87/46.03  (step @p405 :rule nary_cong :premises (@p404 @p403 @p308) :args (@t73))
% 45.87/46.03  (step @p406 :rule cong :premises (@p405) :args (@t74))
% 45.87/46.03  (step @p407 :rule trans :premises (@p406 @p307))
% 45.87/46.03  (step @p408 :rule bool-double-not-elim :args (@t163))
% 45.87/46.03  (step @p409 :rule aci_norm :args ((= (or false @t164) @t164)))
% 45.87/46.03  (step @p410 :rule nary_cong :premises (@p141 @p196) :args (@t277))
% 45.87/46.03  (step @p411 :rule trans :premises (@p410 @p409))
% 45.87/46.03  (step @p412 :rule quant-var-elim-eq :args ((= (forall @t77 @t279) @t277)))
% 45.87/46.03  (step @p413 :rule aci_norm :args ((= @t280 @t279)))
% 45.87/46.03  (step @p414 :rule cong :premises (@p413) :args ((forall @t77 @t280)))
% 45.87/46.03  (step @p415 :rule trans :premises (@p414 @p412))
% 45.87/46.03  (step @p416 :rule trans :premises (@p415 @p411))
% 45.87/46.03  (step @p417 :rule bool-and-de-morgan :args (@t36 @t75 true))
% 45.87/46.03  (step @p418 :rule cong :premises (@p417) :args (@t281))
% 45.87/46.03  (step @p419 :rule trans :premises (@p418 @p416))
% 45.87/46.03  (step @p420 :rule cong :premises (@p419) :args (@t282))
% 45.87/46.03  (step @p421 :rule trans :premises (@p420 @p408))
% 45.87/46.03  (step @p422 :rule exists-elim :args ((= @t78 @t282)))
% 45.87/46.03  (step @p423 :rule trans :premises (@p422 @p421))
% 45.87/46.03  (step @p424 :rule aci_norm :args ((= (or false @t171) @t171)))
% 45.87/46.03  (step @p425 :rule refl :args (@t171))
% 45.87/46.03  (step @p426 :rule nary_cong :premises (@p96 @p425) :args (@t283))
% 45.87/46.03  (step @p427 :rule trans :premises (@p426 @p424))
% 45.87/46.03  (step @p428 :rule quant-var-elim-eq :args ((= (forall @t141 (or @t205 @t204 @t284)) @t283)))
% 45.87/46.03  (step @p429 :rule refl :args (@t284))
% 45.87/46.03  (step @p430 :rule nary_cong :premises (@p251 @p249 @p429) :args (@t285))
% 45.87/46.03  (step @p431 :rule aci_norm :args ((= @t286 @t285)))
% 45.87/46.03  (step @p432 :rule trans :premises (@p431 @p430))
% 45.87/46.03  (step @p433 :rule cong :premises (@p432) :args ((forall @t141 @t286)))
% 45.87/46.03  (step @p434 :rule trans :premises (@p433 @p428))
% 45.87/46.03  (step @p435 :rule trans :premises (@p434 @p427))
% 45.87/46.03  (step @p436 :rule aci_norm :args ((= (or false @t204 @t284) @t286)))
% 45.87/46.03  (step @p437 :rule refl :args (@t284))
% 45.87/46.03  (step @p438 :rule nary_cong :premises (@p141 @p265 @p437) :args (@t287))
% 45.87/46.03  (step @p439 :rule trans :premises (@p438 @p436))
% 45.87/46.03  (step @p440 :rule cong :premises (@p439) :args ((forall @t141 @t287)))
% 45.87/46.03  (step @p441 :rule trans :premises (@p440 @p435))
% 45.87/46.03  (step @p442 :rule quant-var-elim-eq :args ((= (forall @t77 @t288) @t287)))
% 45.87/46.03  (step @p443 :rule aci_norm :args ((= @t289 @t288)))
% 45.87/46.03  (step @p444 :rule cong :premises (@p443) :args (@t290))
% 45.87/46.03  (step @p445 :rule trans :premises (@p444 @p442))
% 45.87/46.03  (step @p446 :rule cong :premises (@p445) :args (@t291))
% 45.87/46.03  (step @p447 :rule quant-merge-prenex :args ((= @t291 @t293)))
% 45.87/46.03  (step @p448 :rule symm :premises (@p447))
% 45.87/46.03  (step @p449 :rule quant_var_reordering :args ((= (forall @t60 @t289) @t293)))
% 45.87/46.03  (step @p450 :rule trans :premises (@p449 @p448 @p446))
% 45.87/46.03  (step @p451 :rule trans :premises (@p450 @p441))
% 45.87/46.03  (step @p452 :rule bool-double-not-elim :args (@t79))
% 45.87/46.03  (step @p453 :rule nary_cong :premises (@p161 @p249 @p452) :args (@t295))
% 45.87/46.03  (step @p454 :rule aci_norm :args ((= (or @t151 (or @t204 @t294)) @t295)))
% 45.87/46.03  (step @p455 :rule trans :premises (@p454 @p453))
% 45.87/46.03  (step @p456 :rule bool-and-de-morgan :args (@t203 @t80 true))
% 45.87/46.03  (step @p457 :rule nary_cong :premises (@p161 @p456) :args ((or @t151 (not (and @t203 @t80)))))
% 45.87/46.03  (step @p458 :rule bool-and-de-morgan :args (@t36 @t203 (and @t80)))
% 45.87/46.03  (step @p459 :rule trans :premises (@p458 @p457))
% 45.87/46.03  (step @p460 :rule trans :premises (@p459 @p455))
% 45.87/46.03  (step @p461 :rule cong :premises (@p460) :args (@t297))
% 45.87/46.03  (step @p462 :rule trans :premises (@p461 @p451))
% 45.87/46.03  (step @p463 :rule cong :premises (@p462) :args (@t298))
% 45.87/46.03  (step @p464 :rule exists-elim :args ((= (exists @t60 @t296) @t298)))
% 45.87/46.03  (step @p465 :rule trans :premises (@p464 @p463))
% 45.87/46.03  (step @p466 :rule refl :args (@t80))
% 45.87/46.03  (step @p467 :rule eq-symm :args (@t30 @t31))
% 45.87/46.03  (step @p468 :rule nary_cong :premises (@p175 @p467 @p466) :args (@t82))
% 45.87/46.03  (step @p469 :rule cong :premises (@p468) :args (@t83))
% 45.87/46.03  (step @p470 :rule trans :premises (@p469 @p465))
% 45.87/46.03  (step @p471 :rule nary_cong :premises (@p470 @p423 @p407) :args (@t84))
% 45.87/46.03  (step @p472 :rule cong :premises (@p471) :args ((not @t84)))
% 45.87/46.03  (step @p473 :rule bool-impl-false1 :args (@t84))
% 45.87/46.03  (step @p474 :rule trans :premises (@p473 @p472))
% 45.87/46.03  (step @p475 :rule cong :premises (@p474) :args (@t86))
% 45.87/46.03  (step @p476 :rule trans :premises (@p475 @p237))
% 45.87/46.03  (step @p477 :rule eq_resolve :premises (@p23 @p476))
% 45.87/46.03  (step @p478 :rule instantiate :premises (@p477) :args ((@list @t308 @t307)))
% 45.87/46.03  (step @p479 :rule aci_norm :args ((= (or @t303 @t164 false @t301 @t300) @t304)))
% 45.87/46.03  (step @p480 :rule refl :args (@t300))
% 45.87/46.03  (step @p481 :rule refl :args (@t301))
% 45.87/46.03  (step @p482 :rule eq-refl :args (@t302))
% 45.87/46.03  (step @p483 :rule cong :premises (@p482) :args (@t309))
% 45.87/46.03  (step @p484 :rule trans :premises (@p483 @p31))
% 45.87/46.03  (step @p485 :rule refl :args (@t303))
% 45.87/46.03  (step @p486 :rule nary_cong :premises (@p485 @p196 @p484 @p481 @p480) :args (@t310))
% 45.87/46.03  (step @p487 :rule trans :premises (@p486 @p479))
% 45.87/46.03  (step @p488 :rule cong :premises (@p487) :args ((forall @t305 @t310)))
% 45.87/46.03  (step @p489 :rule quant-var-elim-eq :args ((= (forall @t107 @t313) @t310)))
% 45.87/46.03  (step @p490 :rule aci_norm :args ((= @t314 @t313)))
% 45.87/46.03  (step @p491 :rule cong :premises (@p490) :args (@t315))
% 45.87/46.03  (step @p492 :rule trans :premises (@p491 @p489))
% 45.87/46.03  (step @p493 :rule cong :premises (@p492) :args (@t316))
% 45.87/46.03  (step @p494 :rule quant-merge-prenex :args ((= @t316 @t317)))
% 45.87/46.03  (step @p495 :rule symm :premises (@p494))
% 45.87/46.03  (step @p496 :rule quant_var_reordering :args ((= (forall @t318 @t314) @t317)))
% 45.87/46.03  (step @p497 :rule trans :premises (@p496 @p495 @p493))
% 45.87/46.03  (step @p498 :rule trans :premises (@p497 @p488))
% 45.87/46.03  (step @p499 :rule aci_norm :args ((= @t320 @t314)))
% 45.87/46.03  (step @p500 :rule cong :premises (@p499) :args (@t321))
% 45.87/46.03  (step @p501 :rule trans :premises (@p500 @p498))
% 45.87/46.03  (step @p502 :rule quant-merge-prenex :args ((= (forall @t85 @t323) @t321)))
% 45.87/46.03  (step @p503 :rule alpha_equiv :args (@t324 (@list @t299) @t185))
% 45.87/46.03  (step @p504 :rule refl :args (@t312))
% 45.87/46.03  (step @p505 :rule nary_cong :premises (@p504 @p216 @p503) :args (@t325))
% 45.87/46.03  (step @p506 :rule quant-miniscope-or :args ((= @t323 @t325)))
% 45.87/46.03  (step @p507 :rule trans :premises (@p506 @p505))
% 45.87/46.03  (step @p508 :rule symm :premises (@p507))
% 45.87/46.03  (step @p509 :rule cong :premises (@p508) :args ((forall @t85 (or @t312 @t164 @t193))))
% 45.87/46.03  (step @p510 :rule trans :premises (@p509 @p502))
% 45.87/46.03  (step @p511 :rule trans :premises (@p510 @p501))
% 45.87/46.03  (step @p512 :rule bool-double-not-elim :args (@t312))
% 45.87/46.03  (step @p513 :rule nary_cong :premises (@p512 @p216 @p225) :args (@t328))
% 45.87/46.03  (step @p514 :rule aci_norm :args ((= (or @t327 @t199) @t328)))
% 45.87/46.03  (step @p515 :rule trans :premises (@p514 @p513))
% 45.87/46.03  (step @p516 :rule refl :args (@t327))
% 45.87/46.03  (step @p517 :rule nary_cong :premises (@p516 @p230) :args ((or @t327 @t200)))
% 45.87/46.03  (step @p518 :rule bool-and-de-morgan :args (@t326 @t163 (and @t194)))
% 45.87/46.03  (step @p519 :rule trans :premises (@p518 @p517))
% 45.87/46.03  (step @p520 :rule trans :premises (@p519 @p515))
% 45.87/46.03  (step @p521 :rule cong :premises (@p520) :args ((forall @t85 (not (and @t326 @t163 @t194)))))
% 45.87/46.03  (step @p522 :rule trans :premises (@p521 @p511))
% 45.87/46.03  (step @p523 :rule aci_norm :args ((= (or false @t312) @t312)))
% 45.87/46.03  (step @p524 :rule refl :args (@t312))
% 45.87/46.03  (step @p525 :rule nary_cong :premises (@p96 @p524) :args (@t329))
% 45.87/46.03  (step @p526 :rule trans :premises (@p525 @p523))
% 45.87/46.03  (step @p527 :rule quant-var-elim-eq :args ((= (forall @t141 (or @t205 @t204 @t330)) @t329)))
% 45.87/46.03  (step @p528 :rule refl :args (@t330))
% 45.87/46.03  (step @p529 :rule nary_cong :premises (@p251 @p249 @p528) :args (@t331))
% 45.87/46.03  (step @p530 :rule aci_norm :args ((= @t332 @t331)))
% 45.87/46.03  (step @p531 :rule trans :premises (@p530 @p529))
% 45.87/46.03  (step @p532 :rule cong :premises (@p531) :args ((forall @t141 @t332)))
% 45.87/46.03  (step @p533 :rule trans :premises (@p532 @p527))
% 45.87/46.03  (step @p534 :rule trans :premises (@p533 @p526))
% 45.87/46.03  (step @p535 :rule aci_norm :args ((= (or false @t204 @t330) @t332)))
% 45.87/46.03  (step @p536 :rule refl :args (@t330))
% 45.87/46.03  (step @p537 :rule nary_cong :premises (@p141 @p265 @p536) :args (@t333))
% 45.87/46.03  (step @p538 :rule trans :premises (@p537 @p535))
% 45.87/46.03  (step @p539 :rule cong :premises (@p538) :args ((forall @t141 @t333)))
% 45.87/46.03  (step @p540 :rule trans :premises (@p539 @p534))
% 45.87/46.03  (step @p541 :rule quant-var-elim-eq :args ((= (forall @t77 @t334) @t333)))
% 45.87/46.03  (step @p542 :rule aci_norm :args ((= @t335 @t334)))
% 45.87/46.03  (step @p543 :rule cong :premises (@p542) :args (@t336))
% 45.87/46.03  (step @p544 :rule trans :premises (@p543 @p541))
% 45.87/46.03  (step @p545 :rule cong :premises (@p544) :args (@t337))
% 45.87/46.03  (step @p546 :rule quant-merge-prenex :args ((= @t337 @t338)))
% 45.87/46.03  (step @p547 :rule symm :premises (@p546))
% 45.87/46.03  (step @p548 :rule quant_var_reordering :args ((= (forall @t60 @t335) @t338)))
% 45.87/46.03  (step @p549 :rule trans :premises (@p548 @p547 @p545))
% 45.87/46.03  (step @p550 :rule trans :premises (@p549 @p540))
% 45.87/46.03  (step @p551 :rule bool-double-not-elim :args (@t93))
% 45.87/46.03  (step @p552 :rule nary_cong :premises (@p161 @p249 @p551) :args (@t340))
% 45.87/46.03  (step @p553 :rule aci_norm :args ((= (or @t151 (or @t204 @t339)) @t340)))
% 45.87/46.03  (step @p554 :rule trans :premises (@p553 @p552))
% 45.87/46.03  (step @p555 :rule bool-and-de-morgan :args (@t203 @t94 true))
% 45.87/46.03  (step @p556 :rule nary_cong :premises (@p161 @p555) :args ((or @t151 (not (and @t203 @t94)))))
% 45.87/46.03  (step @p557 :rule bool-and-de-morgan :args (@t36 @t203 (and @t94)))
% 45.87/46.03  (step @p558 :rule trans :premises (@p557 @p556))
% 45.87/46.03  (step @p559 :rule trans :premises (@p558 @p554))
% 45.87/46.03  (step @p560 :rule cong :premises (@p559) :args (@t342))
% 45.87/46.03  (step @p561 :rule trans :premises (@p560 @p550))
% 45.87/46.03  (step @p562 :rule cong :premises (@p561) :args (@t343))
% 45.87/46.03  (step @p563 :rule exists-elim :args ((= (exists @t60 @t341) @t343)))
% 45.87/46.03  (step @p564 :rule trans :premises (@p563 @p562))
% 45.87/46.03  (step @p565 :rule refl :args (@t94))
% 45.87/46.03  (step @p566 :rule nary_cong :premises (@p175 @p467 @p565) :args (@t95))
% 45.87/46.03  (step @p567 :rule cong :premises (@p566) :args (@t96))
% 45.87/46.03  (step @p568 :rule trans :premises (@p567 @p564))
% 45.87/46.03  (step @p569 :rule nary_cong :premises (@p568 @p423 @p407) :args (@t97))
% 45.87/46.03  (step @p570 :rule cong :premises (@p569) :args ((not @t97)))
% 45.87/46.03  (step @p571 :rule bool-impl-false1 :args (@t97))
% 45.87/46.03  (step @p572 :rule trans :premises (@p571 @p570))
% 45.87/46.03  (step @p573 :rule cong :premises (@p572) :args (@t98))
% 45.87/46.03  (step @p574 :rule trans :premises (@p573 @p522))
% 45.87/46.03  (step @p575 :rule cong :premises (@p574) :args (@t99))
% 45.87/46.03  (step @p576 :rule eq_resolve :premises (@p25 @p575))
% 45.87/46.03  (step @p577 :rule skolemize :premises (@p576))
% 45.87/46.03  (step @p578 :rule bool-double-not-elim :args (@t344))
% 45.87/46.03  (step @p579 :rule refl :args (@t352))
% 45.87/46.03  (step @p580 :rule nary_cong :premises (@p579 @p578) :args ((or @t352 (not @t345))))
% 45.87/46.03  (step @p581 :rule cnf_or_neg :args (@t352 3))
% 45.87/46.03  (step @p582 :rule eq_resolve :premises (@p581 @p580))
% 45.87/46.03  (step @p583 :rule reordering :premises (@p582) :args ((or @t344 @t352)))
% 45.87/46.03  (step @p584 :rule chain_m_resolution :premises (@p583 @p577) :args (@t344 @t353 @t354))
% 45.87/46.03  (step @p585 :rule bool-double-not-elim :args (@t346))
% 45.87/46.03  (step @p586 :rule nary_cong :premises (@p579 @p585) :args ((or @t352 (not @t347))))
% 45.87/46.03  (step @p587 :rule cnf_or_neg :args (@t352 2))
% 45.87/46.03  (step @p588 :rule eq_resolve :premises (@p587 @p586))
% 45.87/46.03  (step @p589 :rule reordering :premises (@p588) :args ((or @t346 @t352)))
% 45.87/46.03  (step @p590 :rule chain_m_resolution :premises (@p589 @p577) :args (@t346 @t353 @t354))
% 45.87/46.03  (step @p591 :rule bool-double-not-elim :args (@t348))
% 45.87/46.03  (step @p592 :rule nary_cong :premises (@p579 @p591) :args ((or @t352 (not @t349))))
% 45.87/46.03  (step @p593 :rule cnf_or_neg :args (@t352 1))
% 45.87/46.03  (step @p594 :rule eq_resolve :premises (@p593 @p592))
% 45.87/46.03  (step @p595 :rule reordering :premises (@p594) :args ((or @t348 @t352)))
% 45.87/46.03  (step @p596 :rule chain_m_resolution :premises (@p595 @p577) :args (@t348 @t353 @t354))
% 45.87/46.03  (step @p597 :rule cnf_or_pos :args (@t356))
% 45.87/46.03  (step @p598 :rule reordering :premises (@p597) :args ((or @t349 @t347 @t345 @t355 (not @t356))))
% 45.87/46.03  (step @p599 :rule chain_m_resolution :premises (@p598 @p596 @p590 @p584 @p478) :args (@t355 (@list false false false false) (@list @t348 @t346 @t344 @t356)))
% 45.87/46.03  (step @p600 :rule refl :args (@t50))
% 45.87/46.03  (step @p601 :rule cong :premises (@p600 @p183) :args (@t51))
% 45.87/46.03  (step @p602 :rule cong :premises (@p601) :args (@t52))
% 45.87/46.03  (step @p603 :rule eq_resolve :premises (@p20 @p602))
% 45.87/46.03  (step @p604 :rule instantiate :premises (@p603) :args (@t357))
% 45.87/46.03  (step @p605 :rule cnf_or_neg :args (@t352 0))
% 45.87/46.03  (step @p606 :rule chain_m_resolution :premises (@p605 @p577) :args ((not @t351) @t353 @t354))
% 45.87/46.03  (step @p607 :rule bool-double-not-elim :args (@t358))
% 45.87/46.03  (step @p608 :rule refl :args (@t351))
% 45.87/46.03  (step @p609 :rule refl :args (@t361))
% 45.87/46.03  (step @p610 :rule nary_cong :premises (@p609 @p608 @p607) :args ((or @t361 @t351 (not @t359))))
% 45.87/46.03  (step @p611 :rule cnf_equiv_pos2 :args (@t360))
% 45.87/46.03  (step @p612 :rule eq_resolve :premises (@p611 @p610))
% 45.87/46.03  (step @p613 :rule reordering :premises (@p612) :args ((or @t351 @t358 @t361)))
% 45.87/46.03  (step @p614 :rule chain_m_resolution :premises (@p613 @p606 @p604) :args (@t358 @t362 (@list @t351 @t360)))
% 45.87/46.03  (step @p615 :rule cnf_equiv_pos2 :args (@t363))
% 45.87/46.03  (step @p616 :rule reordering :premises (@p615) :args ((or @t359 (not @t355) @t364)))
% 45.87/46.03  (step @p617 :rule chain_m_resolution :premises (@p616 @p614 @p599) :args (@t364 (@list false false) (@list @t358 @t355)))
% 45.87/46.03  (step @p618 :rule eq-symm :args (@t355 @t359))
% 45.87/46.03  (step @p619 :rule refl :args (@t365))
% 45.87/46.03  (step @p620 :rule cong :premises (@p619 @p618) :args ((=> @t365 @t366)))
% 45.87/46.03  (assume-push @p628 @t365)
% 45.87/46.03  (step @p622 :rule instantiate :premises (@p189) :args (@t357))
% 45.87/46.03  (step-pop @p629 :rule scope :premises (@p622))
% 45.87/46.03  (step @p623 :rule process_scope :premises (@p629) :args (@t366))
% 45.87/46.03  (step @p625 :rule eq_resolve :premises (@p623 @p620))
% 45.87/46.03  (step @p626 :rule implies_elim :premises (@p625))
% 45.87/46.03  (step @p627 false :rule chain_m_resolution :premises (@p626 @p617 @p189) :args (false @t362 (@list @t363 @t365)))
% 45.87/46.03  )
% 45.87/46.03  % SZS output end Proof
% 45.87/46.03  % cvc5 exiting
%------------------------------------------------------------------------------