↑ Up

cvc5---1.3.4.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWX087_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 : n016.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 46.58s 46.82s
% Output   : Proof 46.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWX087_1 : TPTP v9.2.1. Released v9.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n016.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 22:56:09 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.28/0.51  %----Proving TF0_ARI
% 46.58/46.82  --- Run --finite-model-find --decision=internal at 45...
% 46.58/46.82  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60...
% 46.58/46.82  % SZS status Theorem
% 46.58/46.82  % SZS output start Proof
% 46.58/46.82  (
% 46.58/46.82  (declare-sort tptp.symbol 0)
% 46.58/46.82  (declare-sort tptp.general 0)
% 46.58/46.82  (declare-const tptp.in_building_p (-> tptp.general tptp.general Bool))
% 46.58/46.82  (declare-const tptp.f__integer__ (-> Int tptp.general))
% 46.58/46.82  (declare-const tptp.f__symbolic__ (-> tptp.symbol tptp.general))
% 46.58/46.82  (declare-const tptp.c__supremum__ tptp.general)
% 46.58/46.82  (declare-const tptp.p__is_symbolic__ (-> tptp.general Bool))
% 46.58/46.82  (declare-const tptp.person (-> tptp.general Bool))
% 46.58/46.82  (declare-const tptp.c__infimum__ tptp.general)
% 46.58/46.82  (declare-const tptp.p__is_integer__ (-> tptp.general Bool))
% 46.58/46.82  (declare-const tptp.in0 (-> tptp.general tptp.general Bool))
% 46.58/46.82  (declare-const tptp.goto (-> tptp.general tptp.general tptp.general Bool))
% 46.58/46.82  (declare-const tptp.p__less_equal__ (-> tptp.general tptp.general Bool))
% 46.58/46.82  (declare-const tptp.go (-> tptp.general tptp.general Bool))
% 46.58/46.82  (declare-const tptp.p__less__ (-> tptp.general tptp.general Bool))
% 46.58/46.82  (declare-const tptp.in_building (-> tptp.general tptp.general Bool))
% 46.58/46.82  (declare-const tptp.p__greater_equal__ (-> tptp.general tptp.general Bool))
% 46.58/46.82  (declare-const tptp.h_i Int)
% 46.58/46.82  (declare-const tptp.in (-> tptp.general tptp.general tptp.general Bool))
% 46.58/46.82  (declare-const tptp.p__greater__ (-> tptp.general tptp.general Bool))
% 46.58/46.82  (define @t1 () (@var "N" Int))
% 46.58/46.82  (define @t2 () (tptp.f__integer__ @t1))
% 46.58/46.82  (define @t3 () (@var "X" tptp.general))
% 46.58/46.82  (define @t4 () (@list @t1))
% 46.58/46.82  (define @t5 () (tptp.p__is_integer__ @t3))
% 46.58/46.82  (define @t6 () (@list @t3))
% 46.58/46.82  (define @t7 () (@var "X2" tptp.symbol))
% 46.58/46.82  (define @t8 () (@var "X1" tptp.general))
% 46.58/46.82  (define @t9 () (@var "N2" Int))
% 46.58/46.82  (define @t10 () (@var "N1" Int))
% 46.58/46.82  (define @t11 () (tptp.f__integer__ @t9))
% 46.58/46.82  (define @t12 () (tptp.f__integer__ @t10))
% 46.58/46.82  (define @t13 () (@list @t10 @t9))
% 46.58/46.82  (define @t14 () (forall @t13 (= (= @t12 @t11) (= @t10 @t9))))
% 46.58/46.82  (define @t15 () (@var "S2" tptp.symbol))
% 46.58/46.82  (define @t16 () (@var "S1" tptp.symbol))
% 46.58/46.82  (define @t17 () (@var "X2" tptp.general))
% 46.58/46.82  (define @t18 () (= @t8 @t17))
% 46.58/46.82  (define @t19 () (tptp.p__less_equal__ @t17 @t8))
% 46.58/46.82  (define @t20 () (tptp.p__less_equal__ @t8 @t17))
% 46.58/46.82  (define @t21 () (@list @t8 @t17))
% 46.58/46.82  (define @t22 () (@var "X3" tptp.general))
% 46.58/46.82  (define @t23 () (not @t18))
% 46.58/46.82  (define @t24 () (@var "S" tptp.symbol))
% 46.58/46.82  (define @t25 () (tptp.f__symbolic__ @t24))
% 46.58/46.82  (define @t26 () (@var "X_g" tptp.general))
% 46.58/46.82  (define @t27 () (tptp.person @t26))
% 46.58/46.82  (define @t28 () (@var "Y_g" tptp.general))
% 46.58/46.82  (define @t29 () (tptp.in0 @t26 @t28))
% 46.58/46.82  (define @t30 () (@list @t26 @t28))
% 46.58/46.82  (define @t31 () (forall @t30 (=> @t29 @t27)))
% 46.58/46.82  (define @t32 () (@var "Z_g" tptp.general))
% 46.58/46.82  (define @t33 () (tptp.goto @t26 @t28 @t32))
% 46.58/46.82  (define @t34 () (forall (@list @t26 @t28 @t32) (=> @t33 @t27)))
% 46.58/46.82  (define @t35 () (@var "Z2_g" tptp.general))
% 46.58/46.82  (define @t36 () (@var "Z1_g" tptp.general))
% 46.58/46.82  (define @t37 () (tptp.goto @t32 @t36 @t35))
% 46.58/46.82  (define @t38 () (@var "T_g" tptp.general))
% 46.58/46.82  (define @t39 () (= @t35 @t38))
% 46.58/46.82  (define @t40 () (@var "R_g" tptp.general))
% 46.58/46.82  (define @t41 () (= @t36 @t40))
% 46.58/46.82  (define @t42 () (@var "P_g" tptp.general))
% 46.58/46.82  (define @t43 () (= @t32 @t42))
% 46.58/46.82  (define @t44 () (and @t43 @t41 @t39 @t37))
% 46.58/46.82  (define @t45 () (@list @t32 @t36 @t35))
% 46.58/46.82  (define @t46 () (exists @t45 @t44))
% 46.58/46.82  (define @t47 () (@var "V2_g" tptp.general))
% 46.58/46.82  (define @t48 () (= @t47 @t38))
% 46.58/46.82  (define @t49 () (@var "V1_g" tptp.general))
% 46.58/46.82  (define @t50 () (= @t49 @t42))
% 46.58/46.82  (define @t51 () (@list @t42 @t38 @t40))
% 46.58/46.82  (define @t52 () (@list @t49 @t47))
% 46.58/46.82  (define @t53 () (tptp.in @t32 @t36 @t35))
% 46.58/46.82  (define @t54 () (and @t43 @t41 @t39 @t53))
% 46.58/46.82  (define @t55 () (exists @t45 @t54))
% 46.58/46.82  (define @t56 () (exists @t51 (and @t50 @t48 @t55)))
% 46.58/46.82  (define @t57 () (= @t32 @t36))
% 46.58/46.82  (define @t58 () (not @t57))
% 46.58/46.82  (define @t59 () (@var "R2_g" tptp.general))
% 46.58/46.82  (define @t60 () (= @t36 @t59))
% 46.58/46.82  (define @t61 () (@var "R1_g" tptp.general))
% 46.58/46.82  (define @t62 () (@list @t32 @t36))
% 46.58/46.82  (define @t63 () (@var "J_i" Int))
% 46.58/46.82  (define @t64 () (@var "K_i" Int))
% 46.58/46.82  (define @t65 () (<= @t64 @t63))
% 46.58/46.82  (define @t66 () (@var "I_i" Int))
% 46.58/46.82  (define @t67 () (<= @t66 @t64))
% 46.58/46.82  (define @t68 () (= @t36 (tptp.f__integer__ @t64)))
% 46.58/46.82  (define @t69 () (= @t66 0))
% 46.58/46.82  (define @t70 () (@list @t66 @t63 @t64))
% 46.58/46.82  (define @t71 () (= @t32 @t38))
% 46.58/46.82  (define @t72 () (@list @t32))
% 46.58/46.82  (define @t73 () (= @t36 @t38))
% 46.58/46.82  (define @t74 () (@var "V3_g" tptp.general))
% 46.58/46.82  (define @t75 () (tptp.in @t49 @t47 @t74))
% 46.58/46.82  (define @t76 () (not @t75))
% 46.58/46.82  (define @t77 () (not @t76))
% 46.58/46.82  (define @t78 () (@var "J1_i" Int))
% 46.58/46.82  (define @t79 () (= @t78 1))
% 46.58/46.82  (define @t80 () (= @t66 tptp.h_i))
% 46.58/46.82  (define @t81 () (- @t66 @t78))
% 46.58/46.82  (define @t82 () (= @t63 @t81))
% 46.58/46.82  (define @t83 () (and @t82 @t80 @t79))
% 46.58/46.82  (define @t84 () (@list @t66 @t78))
% 46.58/46.82  (define @t85 () (exists @t84 @t83))
% 46.58/46.82  (define @t86 () (and @t69 @t85 @t68 @t67 @t65))
% 46.58/46.82  (define @t87 () (exists @t70 @t86))
% 46.58/46.82  (define @t88 () (and @t71 @t87 @t57))
% 46.58/46.82  (define @t89 () (exists @t62 @t88))
% 46.58/46.82  (define @t90 () (= @t63 1))
% 46.58/46.82  (define @t91 () (tptp.f__integer__ @t66))
% 46.58/46.82  (define @t92 () (= @t74 (tptp.f__integer__ (+ @t66 @t63))))
% 46.58/46.82  (define @t93 () (and @t92 (= @t91 @t38) @t90))
% 46.58/46.82  (define @t94 () (@list @t66 @t63))
% 46.58/46.82  (define @t95 () (exists @t94 @t93))
% 46.58/46.82  (define @t96 () (= @t47 @t40))
% 46.58/46.82  (define @t97 () (and @t50 @t96 @t95 @t55 @t89 @t77))
% 46.58/46.82  (define @t98 () (@list @t42 @t40 @t38))
% 46.58/46.82  (define @t99 () (exists @t98 @t97))
% 46.58/46.82  (define @t100 () (and @t50 @t96 @t95 @t46))
% 46.58/46.82  (define @t101 () (exists @t98 @t100))
% 46.58/46.82  (define @t102 () (tptp.in0 @t32 @t36))
% 46.58/46.82  (define @t103 () (and @t43 @t41 @t102))
% 46.58/46.82  (define @t104 () (exists @t62 @t103))
% 46.58/46.82  (define @t105 () (tptp.f__integer__ 0))
% 46.58/46.82  (define @t106 () (= @t74 @t105))
% 46.58/46.82  (define @t107 () (and @t50 @t96 @t106 @t104))
% 46.58/46.82  (define @t108 () (@list @t42 @t40))
% 46.58/46.82  (define @t109 () (exists @t108 @t107))
% 46.58/46.82  (define @t110 () (or @t109 @t101 @t99))
% 46.58/46.82  (define @t111 () (= @t75 @t110))
% 46.58/46.82  (define @t112 () (@list @t49 @t47 @t74))
% 46.58/46.82  (define @t113 () (forall @t112 @t111))
% 46.58/46.82  (define @t114 () (tptp.in @t26 @t28 @t105))
% 46.58/46.82  (define @t115 () (forall @t30 (=> @t114 @t27)))
% 46.58/46.82  (define @t116 () (not @t115))
% 46.58/46.82  (define @t117 () (@var "BOUND_VARIABLE_8308" Int))
% 46.58/46.82  (define @t118 () (not (>= (+ tptp.h_i (* -1 @t117)) 1)))
% 46.58/46.82  (define @t119 () (not (>= @t117 0)))
% 46.58/46.82  (define @t120 () (tptp.f__integer__ @t117))
% 46.58/46.82  (define @t121 () (@var "BOUND_VARIABLE_8298" Int))
% 46.58/46.82  (define @t122 () (tptp.f__integer__ @t121))
% 46.58/46.82  (define @t123 () (not (= @t122 @t120)))
% 46.58/46.82  (define @t124 () (tptp.f__integer__ (+ 1 @t121)))
% 46.58/46.82  (define @t125 () (not (= @t74 @t124)))
% 46.58/46.82  (define @t126 () (not (tptp.in @t49 @t47 @t122)))
% 46.58/46.82  (define @t127 () (or @t126 @t125 @t123 @t119 @t118))
% 46.58/46.82  (define @t128 () (@list @t121 @t117))
% 46.58/46.82  (define @t129 () (forall @t128 @t127))
% 46.58/46.82  (define @t130 () (not @t129))
% 46.58/46.82  (define @t131 () (@var "BOUND_VARIABLE_8139" Int))
% 46.58/46.82  (define @t132 () (tptp.f__integer__ (+ 1 @t131)))
% 46.58/46.82  (define @t133 () (not (= @t74 @t132)))
% 46.58/46.82  (define @t134 () (tptp.f__integer__ @t131))
% 46.58/46.82  (define @t135 () (not (tptp.goto @t49 @t47 @t134)))
% 46.58/46.82  (define @t136 () (or @t135 @t133))
% 46.58/46.82  (define @t137 () (@list @t131))
% 46.58/46.82  (define @t138 () (not (forall @t137 @t136)))
% 46.58/46.82  (define @t139 () (tptp.in0 @t49 @t47))
% 46.58/46.82  (define @t140 () (not @t139))
% 46.58/46.82  (define @t141 () (not @t106))
% 46.58/46.82  (define @t142 () (or (not (or @t141 @t140)) @t138 (not (or @t76 @t129))))
% 46.58/46.82  (define @t143 () (= @t75 @t142))
% 46.58/46.82  (define @t144 () (not (= @t122 @t122)))
% 46.58/46.82  (define @t145 () (or @t126 @t125 @t144 @t123 @t119 @t118))
% 46.58/46.82  (define @t146 () (not (= @t38 @t120)))
% 46.58/46.82  (define @t147 () (not (= @t38 @t122)))
% 46.58/46.82  (define @t148 () (not (tptp.in @t49 @t47 @t38)))
% 46.58/46.82  (define @t149 () (or @t147 @t148 @t125 @t147 @t146 @t119 @t118))
% 46.58/46.82  (define @t150 () (@list @t38))
% 46.58/46.82  (define @t151 () (or @t148 @t125 @t147 @t146 @t119 @t118))
% 46.58/46.82  (define @t152 () (forall @t150 @t151))
% 46.58/46.82  (define @t153 () (forall @t128 @t152))
% 46.58/46.82  (define @t154 () (forall (@list @t121 @t117 @t38) @t151))
% 46.58/46.82  (define @t155 () (@list @t38 @t121 @t117))
% 46.58/46.82  (define @t156 () (not (= @t47 @t47)))
% 46.58/46.82  (define @t157 () (or @t156 @t148 @t125 @t147 @t146 @t119 @t118))
% 46.58/46.82  (define @t158 () (not (tptp.in @t49 @t40 @t38)))
% 46.58/46.82  (define @t159 () (not @t96))
% 46.58/46.82  (define @t160 () (not (= @t40 @t47)))
% 46.58/46.82  (define @t161 () (@list @t40))
% 46.58/46.82  (define @t162 () (or @t159 @t159 @t158 @t125 @t147 @t146 @t119 @t118))
% 46.58/46.82  (define @t163 () (or @t159 @t158 @t125 @t147 @t146 @t119 @t118))
% 46.58/46.82  (define @t164 () (forall @t161 @t163))
% 46.58/46.82  (define @t165 () (forall @t155 @t164))
% 46.58/46.82  (define @t166 () (forall (@list @t38 @t121 @t117 @t40) @t163))
% 46.58/46.82  (define @t167 () (@list @t40 @t38 @t121 @t117))
% 46.58/46.82  (define @t168 () (not (= @t49 @t49)))
% 46.58/46.82  (define @t169 () (or @t168 @t159 @t158 @t125 @t147 @t146 @t119 @t118))
% 46.58/46.82  (define @t170 () (tptp.in @t42 @t40 @t38))
% 46.58/46.82  (define @t171 () (not @t170))
% 46.58/46.82  (define @t172 () (not @t50))
% 46.58/46.82  (define @t173 () (not (= @t42 @t49)))
% 46.58/46.82  (define @t174 () (@list @t42))
% 46.58/46.82  (define @t175 () (or @t172 @t172 @t159 @t171 @t125 @t147 @t146 @t119 @t118))
% 46.58/46.82  (define @t176 () (or @t172 @t159 @t171 @t125 @t147 @t146 @t119 @t118))
% 46.58/46.82  (define @t177 () (forall @t174 @t176))
% 46.58/46.82  (define @t178 () (forall @t167 @t177))
% 46.58/46.82  (define @t179 () (forall (@list @t40 @t38 @t121 @t117 @t42) @t176))
% 46.58/46.82  (define @t180 () (@list @t42 @t40 @t38 @t121 @t117))
% 46.58/46.82  (define @t181 () (or @t146 @t119 @t118))
% 46.58/46.82  (define @t182 () (or @t125 @t147))
% 46.58/46.82  (define @t183 () (or @t172 @t159 @t182 @t171 @t181))
% 46.58/46.82  (define @t184 () (forall @t180 @t183))
% 46.58/46.82  (define @t185 () (forall @t128 @t183))
% 46.58/46.82  (define @t186 () (forall (@list @t117) @t181))
% 46.58/46.82  (define @t187 () (@var "BOUND_VARIABLE_8256" Int))
% 46.58/46.82  (define @t188 () (@list @t187))
% 46.58/46.82  (define @t189 () (forall (@list @t121) @t182))
% 46.58/46.82  (define @t190 () (@list @t66))
% 46.58/46.82  (define @t191 () (or @t172 @t159 @t189 @t171 @t186))
% 46.58/46.82  (define @t192 () (not (>= (+ tptp.h_i (* -1 @t187)) 1)))
% 46.58/46.82  (define @t193 () (not (>= @t187 0)))
% 46.58/46.82  (define @t194 () (tptp.f__integer__ @t187))
% 46.58/46.82  (define @t195 () (not (= @t38 @t194)))
% 46.58/46.82  (define @t196 () (or @t195 @t193 @t192))
% 46.58/46.82  (define @t197 () (@list @t187))
% 46.58/46.82  (define @t198 () (forall @t197 @t196))
% 46.58/46.82  (define @t199 () (= @t38 @t91))
% 46.58/46.82  (define @t200 () (not @t199))
% 46.58/46.82  (define @t201 () (+ 1 @t66))
% 46.58/46.82  (define @t202 () (not (= @t74 (tptp.f__integer__ @t201))))
% 46.58/46.82  (define @t203 () (or @t202 @t200))
% 46.58/46.82  (define @t204 () (@list @t66))
% 46.58/46.82  (define @t205 () (forall @t204 @t203))
% 46.58/46.82  (define @t206 () (or @t172 @t159 @t205 @t171 @t198))
% 46.58/46.82  (define @t207 () (forall @t98 @t206))
% 46.58/46.82  (define @t208 () (or @t76 @t207))
% 46.58/46.82  (define @t209 () (or @t76 @t206))
% 46.58/46.82  (define @t210 () (or @t172 @t159 @t205 @t171 @t198 @t76))
% 46.58/46.82  (define @t211 () (not @t198))
% 46.58/46.82  (define @t212 () (not @t211))
% 46.58/46.82  (define @t213 () (not @t205))
% 46.58/46.82  (define @t214 () (not @t213))
% 46.58/46.82  (define @t215 () (or @t172 @t159 @t214 @t171 @t212 @t76))
% 46.58/46.82  (define @t216 () (and @t50 @t96 @t213 @t170 @t211 @t75))
% 46.58/46.82  (define @t217 () (forall @t98 (not @t216)))
% 46.58/46.82  (define @t218 () (not @t217))
% 46.58/46.82  (define @t219 () (not (= @t38 @t38)))
% 46.58/46.82  (define @t220 () (or @t219 @t195 @t193 @t192))
% 46.58/46.82  (define @t221 () (not (= @t36 @t194)))
% 46.58/46.82  (define @t222 () (not (= @t38 @t36)))
% 46.58/46.82  (define @t223 () (@list @t36))
% 46.58/46.82  (define @t224 () (or @t222 @t222 @t221 @t193 @t192))
% 46.58/46.82  (define @t225 () (or @t222 @t221 @t193 @t192))
% 46.58/46.82  (define @t226 () (forall @t223 @t225))
% 46.58/46.82  (define @t227 () (forall @t197 @t226))
% 46.58/46.82  (define @t228 () (forall (@list @t187 @t36) @t225))
% 46.58/46.82  (define @t229 () (@list @t36 @t187))
% 46.58/46.82  (define @t230 () (or @t219 @t222 @t221 @t193 @t192))
% 46.58/46.82  (define @t231 () (not @t71))
% 46.58/46.82  (define @t232 () (or @t231 @t231 @t58 @t221 @t193 @t192))
% 46.58/46.82  (define @t233 () (or @t231 @t58 @t221 @t193 @t192))
% 46.58/46.82  (define @t234 () (forall @t72 @t233))
% 46.58/46.82  (define @t235 () (forall @t229 @t234))
% 46.58/46.82  (define @t236 () (forall (@list @t36 @t187 @t32) @t233))
% 46.58/46.82  (define @t237 () (@list @t32 @t36 @t187))
% 46.58/46.82  (define @t238 () (or @t221 @t193 @t192))
% 46.58/46.82  (define @t239 () (or @t231 @t238 @t58))
% 46.58/46.82  (define @t240 () (forall @t237 @t239))
% 46.58/46.82  (define @t241 () (forall @t197 @t239))
% 46.58/46.82  (define @t242 () (forall @t197 @t238))
% 46.58/46.82  (define @t243 () (or @t231 @t242 @t58))
% 46.58/46.82  (define @t244 () (* -1 @t64))
% 46.58/46.82  (define @t245 () (+ tptp.h_i @t244))
% 46.58/46.82  (define @t246 () (>= @t245 1))
% 46.58/46.82  (define @t247 () (not @t246))
% 46.58/46.82  (define @t248 () (not (>= @t64 0)))
% 46.58/46.82  (define @t249 () (not @t68))
% 46.58/46.82  (define @t250 () (or @t249 @t248 @t247))
% 46.58/46.82  (define @t251 () (@list @t64))
% 46.58/46.82  (define @t252 () (forall @t251 @t250))
% 46.58/46.82  (define @t253 () (not @t252))
% 46.58/46.82  (define @t254 () (not @t253))
% 46.58/46.82  (define @t255 () (or @t231 @t254 @t58))
% 46.58/46.82  (define @t256 () (and @t71 @t253 @t57))
% 46.58/46.82  (define @t257 () (forall @t62 (not @t256)))
% 46.58/46.82  (define @t258 () (not @t257))
% 46.58/46.82  (define @t259 () (+ -1 tptp.h_i @t244))
% 46.58/46.82  (define @t260 () (+ @t244 tptp.h_i -1))
% 46.58/46.82  (define @t261 () (+ -1 tptp.h_i))
% 46.58/46.82  (define @t262 () (+ @t261 @t244))
% 46.58/46.82  (define @t263 () (>= @t262 0))
% 46.58/46.82  (define @t264 () (not @t263))
% 46.58/46.82  (define @t265 () (+ 1 @t261))
% 46.58/46.82  (define @t266 () (= tptp.h_i @t265))
% 46.58/46.82  (define @t267 () (not @t266))
% 46.58/46.82  (define @t268 () (or @t267 @t249 @t248 @t264))
% 46.58/46.82  (define @t269 () (+ @t63 @t244))
% 46.58/46.82  (define @t270 () (>= @t269 0))
% 46.58/46.82  (define @t271 () (not @t270))
% 46.58/46.82  (define @t272 () (+ 1 @t63))
% 46.58/46.82  (define @t273 () (= tptp.h_i @t272))
% 46.58/46.82  (define @t274 () (not @t273))
% 46.58/46.82  (define @t275 () (= @t63 @t261))
% 46.58/46.82  (define @t276 () (@list @t63))
% 46.58/46.82  (define @t277 () (- tptp.h_i @t272))
% 46.58/46.82  (define @t278 () (or @t274 @t274 @t249 @t248 @t271))
% 46.58/46.82  (define @t279 () (or @t274 @t249 @t248 @t271))
% 46.58/46.82  (define @t280 () (forall @t276 @t279))
% 46.58/46.82  (define @t281 () (forall @t251 @t280))
% 46.58/46.82  (define @t282 () (forall (@list @t64 @t63) @t279))
% 46.58/46.82  (define @t283 () (@list @t63 @t64))
% 46.58/46.82  (define @t284 () (+ @t64 1))
% 46.58/46.82  (define @t285 () (+ 0 @t244))
% 46.58/46.82  (define @t286 () (>= @t285 1))
% 46.58/46.82  (define @t287 () (= 0 0))
% 46.58/46.82  (define @t288 () (not @t287))
% 46.58/46.82  (define @t289 () (or @t288 @t274 @t249 @t286 @t271))
% 46.58/46.82  (define @t290 () (+ @t66 @t244))
% 46.58/46.82  (define @t291 () (>= @t290 1))
% 46.58/46.82  (define @t292 () (not @t69))
% 46.58/46.82  (define @t293 () (or @t292 @t292 @t274 @t249 @t291 @t271))
% 46.58/46.82  (define @t294 () (or @t292 @t274 @t249 @t291 @t271))
% 46.58/46.82  (define @t295 () (forall @t204 @t294))
% 46.58/46.82  (define @t296 () (forall @t283 @t295))
% 46.58/46.82  (define @t297 () (forall (@list @t63 @t64 @t66) @t294))
% 46.58/46.82  (define @t298 () (not @t291))
% 46.58/46.82  (define @t299 () (not @t298))
% 46.58/46.82  (define @t300 () (or @t292 @t274 @t249 @t299 @t271))
% 46.58/46.82  (define @t301 () (and @t69 @t273 @t68 @t298 @t270))
% 46.58/46.82  (define @t302 () (forall @t70 (not @t301)))
% 46.58/46.82  (define @t303 () (not @t302))
% 46.58/46.82  (define @t304 () (>= @t66 @t284))
% 46.58/46.82  (define @t305 () (* -1 @t63))
% 46.58/46.82  (define @t306 () (+ tptp.h_i @t305))
% 46.58/46.82  (define @t307 () (= @t306 1))
% 46.58/46.82  (define @t308 () (not @t307))
% 46.58/46.82  (define @t309 () (+ @t305 @t63 tptp.h_i))
% 46.58/46.82  (define @t310 () (+ @t63 @t306))
% 46.58/46.82  (define @t311 () (= tptp.h_i @t310))
% 46.58/46.82  (define @t312 () (not @t311))
% 46.58/46.82  (define @t313 () (or @t312 @t308))
% 46.58/46.82  (define @t314 () (not @t79))
% 46.58/46.82  (define @t315 () (+ @t63 @t78))
% 46.58/46.82  (define @t316 () (= tptp.h_i @t315))
% 46.58/46.82  (define @t317 () (not @t316))
% 46.58/46.82  (define @t318 () (= @t78 @t306))
% 46.58/46.82  (define @t319 () (@list @t78))
% 46.58/46.82  (define @t320 () (or @t317 @t317 @t314))
% 46.58/46.82  (define @t321 () (or @t317 @t314))
% 46.58/46.82  (define @t322 () (not (= @t315 @t315)))
% 46.58/46.82  (define @t323 () (or @t322 @t317 @t314))
% 46.58/46.82  (define @t324 () (= tptp.h_i @t66))
% 46.58/46.82  (define @t325 () (not @t324))
% 46.58/46.82  (define @t326 () (= @t66 @t315))
% 46.58/46.82  (define @t327 () (not @t326))
% 46.58/46.82  (define @t328 () (or @t327 @t327 @t325 @t314))
% 46.58/46.82  (define @t329 () (or @t327 @t325 @t314))
% 46.58/46.82  (define @t330 () (forall @t204 @t329))
% 46.58/46.82  (define @t331 () (forall @t319 @t330))
% 46.58/46.82  (define @t332 () (forall (@list @t78 @t66) @t329))
% 46.58/46.82  (define @t333 () (and @t326 @t324 @t79))
% 46.58/46.82  (define @t334 () (forall @t84 (not @t333)))
% 46.58/46.82  (define @t335 () (not @t334))
% 46.58/46.82  (define @t336 () (+ @t66 (* -1 @t78)))
% 46.58/46.82  (define @t337 () (or @t219 @t171))
% 46.58/46.82  (define @t338 () (not (tptp.in @t42 @t40 @t35)))
% 46.58/46.82  (define @t339 () (= @t38 @t35))
% 46.58/46.82  (define @t340 () (not @t339))
% 46.58/46.82  (define @t341 () (not @t39))
% 46.58/46.82  (define @t342 () (@list @t35))
% 46.58/46.82  (define @t343 () (or @t340 @t340 @t338))
% 46.58/46.82  (define @t344 () (or @t340 @t338))
% 46.58/46.82  (define @t345 () (not (= @t40 @t40)))
% 46.58/46.82  (define @t346 () (or @t345 @t340 @t338))
% 46.58/46.82  (define @t347 () (not (tptp.in @t42 @t36 @t35)))
% 46.58/46.82  (define @t348 () (= @t40 @t36))
% 46.58/46.82  (define @t349 () (not @t348))
% 46.58/46.82  (define @t350 () (not @t41))
% 46.58/46.82  (define @t351 () (or @t349 @t349 @t340 @t347))
% 46.58/46.82  (define @t352 () (or @t349 @t340 @t347))
% 46.58/46.82  (define @t353 () (forall @t223 @t352))
% 46.58/46.82  (define @t354 () (forall @t342 @t353))
% 46.58/46.82  (define @t355 () (@list @t35 @t36))
% 46.58/46.82  (define @t356 () (forall @t355 @t352))
% 46.58/46.82  (define @t357 () (@list @t36 @t35))
% 46.58/46.82  (define @t358 () (not (= @t42 @t42)))
% 46.58/46.82  (define @t359 () (or @t358 @t349 @t340 @t347))
% 46.58/46.82  (define @t360 () (not @t53))
% 46.58/46.82  (define @t361 () (not @t43))
% 46.58/46.82  (define @t362 () (or @t361 @t361 @t349 @t340 @t360))
% 46.58/46.82  (define @t363 () (or @t361 @t349 @t340 @t360))
% 46.58/46.82  (define @t364 () (forall @t72 @t363))
% 46.58/46.82  (define @t365 () (forall @t357 @t364))
% 46.58/46.82  (define @t366 () (@list @t36 @t35 @t32))
% 46.58/46.82  (define @t367 () (forall @t366 @t363))
% 46.58/46.82  (define @t368 () (and @t43 @t348 @t339 @t53))
% 46.58/46.82  (define @t369 () (forall @t45 (not @t368)))
% 46.58/46.82  (define @t370 () (not @t369))
% 46.58/46.82  (define @t371 () (= 1 1))
% 46.58/46.82  (define @t372 () (not @t371))
% 46.58/46.82  (define @t373 () (+ @t66 1))
% 46.58/46.82  (define @t374 () (tptp.f__integer__ @t373))
% 46.58/46.82  (define @t375 () (= @t74 @t374))
% 46.58/46.82  (define @t376 () (not @t375))
% 46.58/46.82  (define @t377 () (or @t376 @t200 @t372))
% 46.58/46.82  (define @t378 () (not @t90))
% 46.58/46.82  (define @t379 () (not @t92))
% 46.58/46.82  (define @t380 () (or @t378 @t379 @t200 @t378))
% 46.58/46.82  (define @t381 () (or @t379 @t200 @t378))
% 46.58/46.82  (define @t382 () (forall @t276 @t381))
% 46.58/46.82  (define @t383 () (forall @t204 @t382))
% 46.58/46.82  (define @t384 () (and @t92 @t199 @t90))
% 46.58/46.82  (define @t385 () (forall @t94 (not @t384)))
% 46.58/46.82  (define @t386 () (not @t385))
% 46.58/46.82  (define @t387 () (not (= @t134 @t134)))
% 46.58/46.82  (define @t388 () (or @t135 @t133 @t387))
% 46.58/46.82  (define @t389 () (not (= @t38 @t134)))
% 46.58/46.82  (define @t390 () (not (tptp.goto @t49 @t47 @t38)))
% 46.58/46.82  (define @t391 () (or @t389 @t390 @t133 @t389))
% 46.58/46.82  (define @t392 () (or @t390 @t133 @t389))
% 46.58/46.82  (define @t393 () (forall @t150 @t392))
% 46.58/46.82  (define @t394 () (forall @t137 @t393))
% 46.58/46.82  (define @t395 () (forall (@list @t131 @t38) @t392))
% 46.58/46.82  (define @t396 () (@list @t38 @t131))
% 46.58/46.82  (define @t397 () (or @t156 @t390 @t133 @t389))
% 46.58/46.82  (define @t398 () (not (tptp.goto @t49 @t40 @t38)))
% 46.58/46.82  (define @t399 () (or @t159 @t159 @t398 @t133 @t389))
% 46.58/46.82  (define @t400 () (or @t159 @t398 @t133 @t389))
% 46.58/46.82  (define @t401 () (forall @t161 @t400))
% 46.58/46.82  (define @t402 () (forall @t396 @t401))
% 46.58/46.82  (define @t403 () (forall (@list @t38 @t131 @t40) @t400))
% 46.58/46.82  (define @t404 () (@list @t40 @t38 @t131))
% 46.58/46.82  (define @t405 () (or @t168 @t159 @t398 @t133 @t389))
% 46.58/46.82  (define @t406 () (tptp.goto @t42 @t40 @t38))
% 46.58/46.82  (define @t407 () (not @t406))
% 46.58/46.82  (define @t408 () (or @t172 @t172 @t159 @t407 @t133 @t389))
% 46.58/46.82  (define @t409 () (or @t172 @t159 @t407 @t133 @t389))
% 46.58/46.82  (define @t410 () (forall @t174 @t409))
% 46.58/46.82  (define @t411 () (forall @t404 @t410))
% 46.58/46.82  (define @t412 () (forall (@list @t40 @t38 @t131 @t42) @t409))
% 46.58/46.82  (define @t413 () (@list @t42 @t40 @t38 @t131))
% 46.58/46.82  (define @t414 () (or @t133 @t389))
% 46.58/46.82  (define @t415 () (or @t172 @t159 @t414 @t407))
% 46.58/46.82  (define @t416 () (forall @t413 @t415))
% 46.58/46.82  (define @t417 () (forall @t137 @t415))
% 46.58/46.82  (define @t418 () (forall @t137 @t414))
% 46.58/46.82  (define @t419 () (or @t172 @t159 @t418 @t407))
% 46.58/46.82  (define @t420 () (or @t172 @t159 @t214 @t407))
% 46.58/46.82  (define @t421 () (and @t50 @t96 @t213 @t406))
% 46.58/46.82  (define @t422 () (forall @t98 (not @t421)))
% 46.58/46.82  (define @t423 () (not @t422))
% 46.58/46.82  (define @t424 () (or @t219 @t407))
% 46.58/46.82  (define @t425 () (not (tptp.goto @t42 @t40 @t35)))
% 46.58/46.82  (define @t426 () (or @t340 @t340 @t425))
% 46.58/46.82  (define @t427 () (or @t340 @t425))
% 46.58/46.82  (define @t428 () (or @t345 @t340 @t425))
% 46.58/46.82  (define @t429 () (not (tptp.goto @t42 @t36 @t35)))
% 46.58/46.82  (define @t430 () (or @t349 @t349 @t340 @t429))
% 46.58/46.82  (define @t431 () (or @t349 @t340 @t429))
% 46.58/46.82  (define @t432 () (forall @t223 @t431))
% 46.58/46.82  (define @t433 () (forall @t342 @t432))
% 46.58/46.82  (define @t434 () (forall @t355 @t431))
% 46.58/46.82  (define @t435 () (or @t358 @t349 @t340 @t429))
% 46.58/46.82  (define @t436 () (not @t37))
% 46.58/46.82  (define @t437 () (or @t361 @t361 @t349 @t340 @t436))
% 46.58/46.82  (define @t438 () (or @t361 @t349 @t340 @t436))
% 46.58/46.82  (define @t439 () (forall @t72 @t438))
% 46.58/46.82  (define @t440 () (forall @t357 @t439))
% 46.58/46.82  (define @t441 () (forall @t366 @t438))
% 46.58/46.82  (define @t442 () (and @t43 @t348 @t339 @t37))
% 46.58/46.82  (define @t443 () (forall @t45 (not @t442)))
% 46.58/46.82  (define @t444 () (not @t443))
% 46.58/46.82  (define @t445 () (or @t156 @t140))
% 46.58/46.82  (define @t446 () (not (tptp.in0 @t49 @t40)))
% 46.58/46.82  (define @t447 () (or @t159 @t159 @t446))
% 46.58/46.82  (define @t448 () (or @t159 @t446))
% 46.58/46.82  (define @t449 () (or @t168 @t159 @t446))
% 46.58/46.82  (define @t450 () (tptp.in0 @t42 @t40))
% 46.58/46.82  (define @t451 () (not @t450))
% 46.58/46.82  (define @t452 () (or @t172 @t172 @t159 @t451))
% 46.58/46.82  (define @t453 () (or @t172 @t159 @t451))
% 46.58/46.82  (define @t454 () (forall @t174 @t453))
% 46.58/46.82  (define @t455 () (forall @t161 @t454))
% 46.58/46.82  (define @t456 () (forall (@list @t40 @t42) @t453))
% 46.58/46.82  (define @t457 () (forall @t108 @t453))
% 46.58/46.82  (define @t458 () (or @t141 @t457))
% 46.58/46.82  (define @t459 () (or @t141 @t453))
% 46.58/46.82  (define @t460 () (or @t172 @t159 @t141 @t451))
% 46.58/46.82  (define @t461 () (and @t50 @t96 @t106 @t450))
% 46.58/46.82  (define @t462 () (forall @t108 (not @t461)))
% 46.58/46.82  (define @t463 () (not @t462))
% 46.58/46.82  (define @t464 () (or @t345 @t451))
% 46.58/46.82  (define @t465 () (not (tptp.in0 @t42 @t36)))
% 46.58/46.82  (define @t466 () (or @t349 @t349 @t465))
% 46.58/46.82  (define @t467 () (or @t349 @t465))
% 46.58/46.82  (define @t468 () (or @t358 @t349 @t465))
% 46.58/46.82  (define @t469 () (not @t102))
% 46.58/46.82  (define @t470 () (or @t361 @t361 @t349 @t469))
% 46.58/46.82  (define @t471 () (or @t361 @t349 @t469))
% 46.58/46.82  (define @t472 () (forall @t72 @t471))
% 46.58/46.82  (define @t473 () (forall @t223 @t472))
% 46.58/46.82  (define @t474 () (forall (@list @t36 @t32) @t471))
% 46.58/46.82  (define @t475 () (and @t43 @t348 @t102))
% 46.58/46.82  (define @t476 () (forall @t62 (not @t475)))
% 46.58/46.82  (define @t477 () (not @t476))
% 46.58/46.82  (define @t478 () (forall @t30 (or (not @t114) @t27)))
% 46.58/46.82  (define @t479 () (@quantifiers_skolemize @t478 1))
% 46.58/46.82  (define @t480 () (@quantifiers_skolemize @t478 0))
% 46.58/46.82  (define @t481 () (forall @t128 (or (not (tptp.in @t480 @t479 @t122)) (not (= @t105 @t124)) @t123 @t119 @t118)))
% 46.58/46.82  (define @t482 () (not @t481))
% 46.58/46.82  (define @t483 () (tptp.in @t480 @t479 @t105))
% 46.58/46.82  (define @t484 () (and @t483 @t482))
% 46.58/46.82  (define @t485 () (forall @t137 (or (not (tptp.goto @t480 @t479 @t134)) (not (= @t105 @t132)))))
% 46.58/46.82  (define @t486 () (not @t485))
% 46.58/46.82  (define @t487 () (tptp.in0 @t480 @t479))
% 46.58/46.82  (define @t488 () (and (= @t105 @t105) @t487))
% 46.58/46.82  (define @t489 () (or @t488 @t486 @t484))
% 46.58/46.82  (define @t490 () (= @t483 @t489))
% 46.58/46.82  (define @t491 () (forall @t112 (= @t75 (or (and @t106 @t139) @t138 (and @t75 @t130)))))
% 46.58/46.82  (define @t492 () (or @t487 @t486 @t484))
% 46.58/46.82  (define @t493 () (= @t483 @t492))
% 46.58/46.82  (define @t494 () (@list false))
% 46.58/46.82  (define @t495 () (tptp.person @t480))
% 46.58/46.82  (define @t496 () (not @t483))
% 46.58/46.82  (define @t497 () (or @t496 @t495))
% 46.58/46.82  (define @t498 () (@list true))
% 46.58/46.82  (define @t499 () (@list @t497))
% 46.58/46.82  (define @t500 () (@list false false))
% 46.58/46.82  (define @t501 () (@quantifiers_skolemize @t485 0))
% 46.58/46.82  (define @t502 () (tptp.f__integer__ @t501))
% 46.58/46.82  (define @t503 () (tptp.goto @t480 @t479 @t502))
% 46.58/46.82  (define @t504 () (not @t503))
% 46.58/46.82  (define @t505 () (or @t504 @t495))
% 46.58/46.82  (define @t506 () (@list true false))
% 46.58/46.82  (define @t507 () (or @t504 (not (= @t105 (tptp.f__integer__ (+ 1 @t501))))))
% 46.58/46.82  (define @t508 () (not @t507))
% 46.58/46.82  (define @t509 () (not @t487))
% 46.58/46.82  (define @t510 () (or @t509 @t495))
% 46.58/46.82  (define @t511 () (@quantifiers_skolemize @t481 1))
% 46.58/46.82  (define @t512 () (* -1 @t511))
% 46.58/46.82  (define @t513 () (>= @t511 0))
% 46.58/46.82  (define @t514 () (not @t513))
% 46.58/46.82  (define @t515 () (tptp.f__integer__ @t511))
% 46.58/46.82  (define @t516 () (@quantifiers_skolemize @t481 0))
% 46.58/46.82  (define @t517 () (tptp.f__integer__ @t516))
% 46.58/46.82  (define @t518 () (= @t517 @t515))
% 46.58/46.82  (define @t519 () (not @t518))
% 46.58/46.82  (define @t520 () (+ 1 @t516))
% 46.58/46.82  (define @t521 () (= @t105 (tptp.f__integer__ @t520)))
% 46.58/46.82  (define @t522 () (not @t521))
% 46.58/46.82  (define @t523 () (or (not (tptp.in @t480 @t479 @t517)) @t522 @t519 @t514 (not (>= (+ tptp.h_i @t512) 1))))
% 46.58/46.82  (define @t524 () (not @t523))
% 46.58/46.82  (define @t525 () (@list @t523))
% 46.58/46.82  (define @t526 () (= @t516 -1))
% 46.58/46.82  (define @t527 () (= 0 @t520))
% 46.58/46.82  (define @t528 () (= @t521 @t527))
% 46.58/46.82  (define @t529 () (= @t521 @t526))
% 46.58/46.82  (define @t530 () (@list @t14))
% 46.58/46.82  (define @t531 () (= @t516 @t511))
% 46.58/46.82  (define @t532 () (= @t511 @t516))
% 46.58/46.82  (define @t533 () (= (= @t515 @t517) @t532))
% 46.58/46.82  (define @t534 () (= @t518 @t531))
% 46.58/46.82  (define @t535 () (= -1 @t511))
% 46.58/46.82  (define @t536 () (* -1 0))
% 46.58/46.82  (define @t537 () (+ -1 @t536))
% 46.58/46.82  (define @t538 () (+ @t511 @t512))
% 46.58/46.82  (define @t539 () (and @t535 @t513))
% 46.58/46.82  (assume @p1 (forall @t6 (= @t5 (exists @t4 (= @t3 @t2)))))
% 46.58/46.82  (assume @p2 (forall (@list @t8) (= (tptp.p__is_symbolic__ @t8) (exists (@list @t7) (= @t8 (tptp.f__symbolic__ @t7))))))
% 46.58/46.82  (assume @p3 (forall @t6 (or (= @t3 tptp.c__infimum__) @t5 (tptp.p__is_symbolic__ @t3) (= @t3 tptp.c__supremum__))))
% 46.58/46.82  (assume @p4 @t14)
% 46.58/46.82  (assume @p5 (forall (@list @t16 @t15) (= (= (tptp.f__symbolic__ @t16) (tptp.f__symbolic__ @t15)) (= @t16 @t15))))
% 46.58/46.82  (assume @p6 (forall @t13 (= (tptp.p__less_equal__ @t12 @t11) (<= @t10 @t9))))
% 46.58/46.82  (assume @p7 (forall @t21 (=> (and @t20 @t19) @t18)))
% 46.58/46.82  (assume @p8 (forall (@list @t8 @t17 @t22) (=> (and @t20 (tptp.p__less_equal__ @t17 @t22)) (tptp.p__less_equal__ @t8 @t22))))
% 46.58/46.82  (assume @p9 (forall @t21 (or @t20 @t19)))
% 46.58/46.82  (assume @p10 (forall @t21 (= (tptp.p__less__ @t8 @t17) (and @t20 @t23))))
% 46.58/46.82  (assume @p11 (forall @t21 (= (tptp.p__greater_equal__ @t8 @t17) @t19)))
% 46.58/46.82  (assume @p12 (forall @t21 (= (tptp.p__greater__ @t8 @t17) (and @t19 @t23))))
% 46.58/46.82  (assume @p13 (forall @t4 (tptp.p__less__ tptp.c__infimum__ @t2)))
% 46.58/46.82  (assume @p14 (forall (@list @t1 @t24) (tptp.p__less__ @t2 @t25)))
% 46.58/46.82  (assume @p15 (forall (@list @t24) (tptp.p__less__ @t25 tptp.c__supremum__)))
% 46.58/46.82  (assume @p16 (>= tptp.h_i 0))
% 46.58/46.82  (assume @p17 @t31)
% 46.58/46.82  (assume @p18 @t34)
% 46.58/46.82  (assume @p19 (forall @t52 (= (tptp.go @t49 @t47) (exists @t51 (and @t50 @t48 @t46)))))
% 46.58/46.82  (assume @p20 (forall @t52 (= (tptp.in_building @t49 @t47) @t56)))
% 46.58/46.82  (assume @p21 (forall @t52 (= (tptp.in_building_p @t49 @t47) @t56)))
% 46.58/46.82  (assume @p22 (forall (@list @t42 @t61 @t38 @t59) (=> (and (exists @t45 (and @t43 (= @t36 @t61) @t39 @t53)) (exists @t45 (and @t43 @t60 @t39 @t53)) (exists @t62 (and (= @t32 @t61) @t60 @t58))) false)))
% 46.58/46.82  (assume @p23 (forall (@list @t42 @t38) (=> (and (exists @t62 (and @t43 @t73 (not (tptp.in_building_p @t32 @t36)))) (exists @t72 (and @t43 (tptp.person @t32))) (exists @t62 (and @t71 (exists @t70 (and @t69 (= @t63 tptp.h_i) @t68 @t67 @t65)) @t57))) false)))
% 46.58/46.82  (assume @p24 @t113)
% 46.58/46.82  (assume @p25 @t116)
% 46.58/46.82  (assume @p26 true)
% 46.58/46.82  (step @p27 :rule refl :args (@t130))
% 46.58/46.82  (step @p28 :rule bool-double-not-elim :args (@t75))
% 46.58/46.82  (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((and @t77 @t130)))
% 46.58/46.82  (step @p30 :rule bool-or-de-morgan :args (@t76 @t129 false))
% 46.58/46.82  (step @p31 :rule trans :premises (@p30 @p29))
% 46.58/46.82  (step @p32 :rule refl :args (@t138))
% 46.58/46.82  (step @p33 :rule bool-double-not-elim :args (@t139))
% 46.58/46.82  (step @p34 :rule bool-double-not-elim :args (@t106))
% 46.58/46.82  (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((and (not @t141) (not @t140))))
% 46.58/46.82  (step @p36 :rule bool-or-de-morgan :args (@t141 @t140 false))
% 46.58/46.82  (step @p37 :rule trans :premises (@p36 @p35))
% 46.58/46.82  (step @p38 :rule nary_cong :premises (@p37 @p32 @p31) :args (@t142))
% 46.58/46.82  (step @p39 :rule refl :args (@t75))
% 46.58/46.82  (step @p40 :rule cong :premises (@p39 @p38) :args (@t143))
% 46.58/46.82  (step @p41 :rule cong :premises (@p40) :args ((forall @t112 @t143)))
% 46.58/46.82  (step @p42 :rule aci_norm :args ((= (or @t126 @t125 false @t123 @t119 @t118) @t127)))
% 46.58/46.82  (step @p43 :rule refl :args (@t118))
% 46.58/46.82  (step @p44 :rule refl :args (@t119))
% 46.58/46.82  (step @p45 :rule refl :args (@t123))
% 46.58/46.82  (step @p46 :rule evaluate :args ((not true)))
% 46.58/46.82  (step @p47 :rule eq-refl :args (@t122))
% 46.58/46.82  (step @p48 :rule cong :premises (@p47) :args (@t144))
% 46.58/46.82  (step @p49 :rule trans :premises (@p48 @p46))
% 46.58/46.82  (step @p50 :rule refl :args (@t125))
% 46.58/46.82  (step @p51 :rule refl :args (@t126))
% 46.58/46.82  (step @p52 :rule nary_cong :premises (@p51 @p50 @p49 @p45 @p44 @p43) :args (@t145))
% 46.58/46.82  (step @p53 :rule trans :premises (@p52 @p42))
% 46.58/46.82  (step @p54 :rule cong :premises (@p53) :args ((forall @t128 @t145)))
% 46.58/46.82  (step @p55 :rule quant-var-elim-eq :args ((= (forall @t150 @t149) @t145)))
% 46.58/46.82  (step @p56 :rule aci_norm :args ((= @t151 @t149)))
% 46.58/46.82  (step @p57 :rule cong :premises (@p56) :args (@t152))
% 46.58/46.82  (step @p58 :rule trans :premises (@p57 @p55))
% 46.58/46.82  (step @p59 :rule cong :premises (@p58) :args (@t153))
% 46.58/46.82  (step @p60 :rule quant-merge-prenex :args ((= @t153 @t154)))
% 46.58/46.82  (step @p61 :rule symm :premises (@p60))
% 46.58/46.82  (step @p62 :rule quant_var_reordering :args ((= (forall @t155 @t151) @t154)))
% 46.58/46.82  (step @p63 :rule trans :premises (@p62 @p61 @p59))
% 46.58/46.82  (step @p64 :rule trans :premises (@p63 @p54))
% 46.58/46.82  (step @p65 :rule aci_norm :args ((= (or false @t148 @t125 @t147 @t146 @t119 @t118) @t151)))
% 46.58/46.82  (step @p66 :rule refl :args (@t146))
% 46.58/46.82  (step @p67 :rule refl :args (@t147))
% 46.58/46.82  (step @p68 :rule refl :args (@t148))
% 46.58/46.82  (step @p69 :rule eq-refl :args (@t47))
% 46.58/46.82  (step @p70 :rule cong :premises (@p69) :args (@t156))
% 46.58/46.82  (step @p71 :rule trans :premises (@p70 @p46))
% 46.58/46.82  (step @p72 :rule nary_cong :premises (@p71 @p68 @p50 @p67 @p66 @p44 @p43) :args (@t157))
% 46.58/46.82  (step @p73 :rule trans :premises (@p72 @p65))
% 46.58/46.82  (step @p74 :rule cong :premises (@p73) :args ((forall @t155 @t157)))
% 46.58/46.82  (step @p75 :rule trans :premises (@p74 @p64))
% 46.58/46.82  (step @p76 :rule quant-var-elim-eq :args ((= (forall @t161 (or @t160 @t159 @t158 @t125 @t147 @t146 @t119 @t118)) @t157)))
% 46.58/46.82  (step @p77 :rule refl :args (@t118))
% 46.58/46.82  (step @p78 :rule refl :args (@t119))
% 46.58/46.82  (step @p79 :rule refl :args (@t146))
% 46.58/46.82  (step @p80 :rule refl :args (@t147))
% 46.58/46.82  (step @p81 :rule refl :args (@t125))
% 46.58/46.82  (step @p82 :rule refl :args (@t158))
% 46.58/46.82  (step @p83 :rule refl :args (@t159))
% 46.58/46.82  (step @p84 :rule eq-symm :args (@t47 @t40))
% 46.58/46.82  (step @p85 :rule cong :premises (@p84) :args (@t159))
% 46.58/46.82  (step @p86 :rule nary_cong :premises (@p85 @p83 @p82 @p81 @p80 @p79 @p78 @p77) :args (@t162))
% 46.58/46.82  (step @p87 :rule aci_norm :args ((= @t163 @t162)))
% 46.58/46.82  (step @p88 :rule trans :premises (@p87 @p86))
% 46.58/46.82  (step @p89 :rule cong :premises (@p88) :args (@t164))
% 46.58/46.82  (step @p90 :rule trans :premises (@p89 @p76))
% 46.58/46.82  (step @p91 :rule cong :premises (@p90) :args (@t165))
% 46.58/46.82  (step @p92 :rule quant-merge-prenex :args ((= @t165 @t166)))
% 46.58/46.82  (step @p93 :rule symm :premises (@p92))
% 46.58/46.82  (step @p94 :rule quant_var_reordering :args ((= (forall @t167 @t163) @t166)))
% 46.58/46.82  (step @p95 :rule trans :premises (@p94 @p93 @p91))
% 46.58/46.82  (step @p96 :rule trans :premises (@p95 @p75))
% 46.58/46.82  (step @p97 :rule aci_norm :args ((= (or false @t159 @t158 @t125 @t147 @t146 @t119 @t118) @t163)))
% 46.58/46.82  (step @p98 :rule refl :args (@t158))
% 46.58/46.82  (step @p99 :rule refl :args (@t159))
% 46.58/46.82  (step @p100 :rule eq-refl :args (@t49))
% 46.58/46.82  (step @p101 :rule cong :premises (@p100) :args (@t168))
% 46.58/46.82  (step @p102 :rule trans :premises (@p101 @p46))
% 46.58/46.82  (step @p103 :rule nary_cong :premises (@p102 @p99 @p98 @p50 @p67 @p66 @p44 @p43) :args (@t169))
% 46.58/46.82  (step @p104 :rule trans :premises (@p103 @p97))
% 46.58/46.82  (step @p105 :rule cong :premises (@p104) :args ((forall @t167 @t169)))
% 46.58/46.82  (step @p106 :rule trans :premises (@p105 @p96))
% 46.58/46.82  (step @p107 :rule quant-var-elim-eq :args ((= (forall @t174 (or @t173 @t172 @t159 @t171 @t125 @t147 @t146 @t119 @t118)) @t169)))
% 46.58/46.82  (step @p108 :rule refl :args (@t171))
% 46.58/46.82  (step @p109 :rule refl :args (@t172))
% 46.58/46.82  (step @p110 :rule eq-symm :args (@t49 @t42))
% 46.58/46.82  (step @p111 :rule cong :premises (@p110) :args (@t172))
% 46.58/46.82  (step @p112 :rule nary_cong :premises (@p111 @p109 @p83 @p108 @p81 @p80 @p79 @p78 @p77) :args (@t175))
% 46.58/46.82  (step @p113 :rule aci_norm :args ((= @t176 @t175)))
% 46.58/46.82  (step @p114 :rule trans :premises (@p113 @p112))
% 46.58/46.82  (step @p115 :rule cong :premises (@p114) :args (@t177))
% 46.58/46.82  (step @p116 :rule trans :premises (@p115 @p107))
% 46.58/46.82  (step @p117 :rule cong :premises (@p116) :args (@t178))
% 46.58/46.82  (step @p118 :rule quant-merge-prenex :args ((= @t178 @t179)))
% 46.58/46.82  (step @p119 :rule symm :premises (@p118))
% 46.58/46.82  (step @p120 :rule quant_var_reordering :args ((= (forall @t180 @t176) @t179)))
% 46.58/46.82  (step @p121 :rule trans :premises (@p120 @p119 @p117))
% 46.58/46.82  (step @p122 :rule trans :premises (@p121 @p106))
% 46.58/46.82  (step @p123 :rule aci_norm :args ((= @t183 @t176)))
% 46.58/46.82  (step @p124 :rule cong :premises (@p123) :args (@t184))
% 46.58/46.82  (step @p125 :rule trans :premises (@p124 @p122))
% 46.58/46.82  (step @p126 :rule quant-merge-prenex :args ((= (forall @t98 @t185) @t184)))
% 46.58/46.82  (step @p127 :rule alpha_equiv :args (@t186 (@list @t117) @t188))
% 46.58/46.82  (step @p128 :rule alpha_equiv :args (@t189 (@list @t121) @t190))
% 46.58/46.82  (step @p129 :rule nary_cong :premises (@p109 @p83 @p128 @p108 @p127) :args (@t191))
% 46.58/46.82  (step @p130 :rule quant-miniscope-or :args ((= @t185 @t191)))
% 46.58/46.82  (step @p131 :rule trans :premises (@p130 @p129))
% 46.58/46.82  (step @p132 :rule symm :premises (@p131))
% 46.58/46.82  (step @p133 :rule cong :premises (@p132) :args (@t207))
% 46.58/46.82  (step @p134 :rule trans :premises (@p133 @p126))
% 46.58/46.82  (step @p135 :rule trans :premises (@p134 @p125))
% 46.58/46.82  (step @p136 :rule refl :args (@t76))
% 46.58/46.82  (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t208))
% 46.58/46.82  (step @p138 :rule quant-miniscope-or :args ((= (forall @t98 @t209) @t208)))
% 46.58/46.82  (step @p139 :rule aci_norm :args ((= @t210 @t209)))
% 46.58/46.82  (step @p140 :rule cong :premises (@p139) :args ((forall @t98 @t210)))
% 46.58/46.82  (step @p141 :rule trans :premises (@p140 @p138))
% 46.58/46.82  (step @p142 :rule trans :premises (@p141 @p137))
% 46.58/46.82  (step @p143 :rule refl :args (@t76))
% 46.58/46.82  (step @p144 :rule bool-double-not-elim :args (@t198))
% 46.58/46.82  (step @p145 :rule bool-double-not-elim :args (@t205))
% 46.58/46.82  (step @p146 :rule nary_cong :premises (@p109 @p83 @p145 @p108 @p144 @p143) :args (@t215))
% 46.58/46.82  (step @p147 :rule aci_norm :args ((= (or @t172 (or @t159 (or @t214 (or @t171 (or @t212 @t76))))) @t215)))
% 46.58/46.82  (step @p148 :rule trans :premises (@p147 @p146))
% 46.58/46.82  (step @p149 :rule bool-and-de-morgan :args (@t211 @t75 true))
% 46.58/46.82  (step @p150 :rule nary_cong :premises (@p108 @p149) :args ((or @t171 (not (and @t211 @t75)))))
% 46.58/46.82  (step @p151 :rule bool-and-de-morgan :args (@t170 @t211 (and @t75)))
% 46.58/46.82  (step @p152 :rule trans :premises (@p151 @p150))
% 46.58/46.82  (step @p153 :rule refl :args (@t214))
% 46.58/46.82  (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or @t214 (not (and @t170 @t211 @t75)))))
% 46.58/46.82  (step @p155 :rule bool-and-de-morgan :args (@t213 @t170 (and @t211 @t75)))
% 46.58/46.82  (step @p156 :rule trans :premises (@p155 @p154))
% 46.58/46.82  (step @p157 :rule nary_cong :premises (@p83 @p156) :args ((or @t159 (not (and @t213 @t170 @t211 @t75)))))
% 46.58/46.82  (step @p158 :rule bool-and-de-morgan :args (@t96 @t213 (and @t170 @t211 @t75)))
% 46.58/46.82  (step @p159 :rule trans :premises (@p158 @p157))
% 46.58/46.82  (step @p160 :rule nary_cong :premises (@p109 @p159) :args ((or @t172 (not (and @t96 @t213 @t170 @t211 @t75)))))
% 46.58/46.82  (step @p161 :rule bool-and-de-morgan :args (@t50 @t96 (and @t213 @t170 @t211 @t75)))
% 46.58/46.82  (step @p162 :rule trans :premises (@p161 @p160))
% 46.58/46.82  (step @p163 :rule trans :premises (@p162 @p148))
% 46.58/46.82  (step @p164 :rule cong :premises (@p163) :args (@t217))
% 46.58/46.82  (step @p165 :rule trans :premises (@p164 @p142))
% 46.58/46.82  (step @p166 :rule cong :premises (@p165) :args (@t218))
% 46.58/46.82  (step @p167 :rule exists-elim :args ((= (exists @t98 @t216) @t218)))
% 46.58/46.82  (step @p168 :rule trans :premises (@p167 @p166))
% 46.58/46.82  (step @p169 :rule aci_norm :args ((= (or false @t195 @t193 @t192) @t196)))
% 46.58/46.82  (step @p170 :rule refl :args (@t192))
% 46.58/46.82  (step @p171 :rule refl :args (@t193))
% 46.58/46.82  (step @p172 :rule refl :args (@t195))
% 46.58/46.82  (step @p173 :rule eq-refl :args (@t38))
% 46.58/46.82  (step @p174 :rule cong :premises (@p173) :args (@t219))
% 46.58/46.82  (step @p175 :rule trans :premises (@p174 @p46))
% 46.58/46.82  (step @p176 :rule nary_cong :premises (@p175 @p172 @p171 @p170) :args (@t220))
% 46.58/46.82  (step @p177 :rule trans :premises (@p176 @p169))
% 46.58/46.82  (step @p178 :rule cong :premises (@p177) :args ((forall @t197 @t220)))
% 46.58/46.82  (step @p179 :rule quant-var-elim-eq :args ((= (forall @t223 (or (not @t73) @t222 @t221 @t193 @t192)) @t220)))
% 46.58/46.82  (step @p180 :rule refl :args (@t192))
% 46.58/46.82  (step @p181 :rule refl :args (@t193))
% 46.58/46.82  (step @p182 :rule refl :args (@t221))
% 46.58/46.82  (step @p183 :rule refl :args (@t222))
% 46.58/46.82  (step @p184 :rule eq-symm :args (@t38 @t36))
% 46.58/46.82  (step @p185 :rule cong :premises (@p184) :args (@t222))
% 46.58/46.82  (step @p186 :rule nary_cong :premises (@p185 @p183 @p182 @p181 @p180) :args (@t224))
% 46.58/46.82  (step @p187 :rule aci_norm :args ((= @t225 @t224)))
% 46.58/46.82  (step @p188 :rule trans :premises (@p187 @p186))
% 46.58/46.82  (step @p189 :rule cong :premises (@p188) :args (@t226))
% 46.58/46.82  (step @p190 :rule trans :premises (@p189 @p179))
% 46.58/46.82  (step @p191 :rule cong :premises (@p190) :args (@t227))
% 46.58/46.82  (step @p192 :rule quant-merge-prenex :args ((= @t227 @t228)))
% 46.58/46.82  (step @p193 :rule symm :premises (@p192))
% 46.58/46.82  (step @p194 :rule quant_var_reordering :args ((= (forall @t229 @t225) @t228)))
% 46.58/46.82  (step @p195 :rule trans :premises (@p194 @p193 @p191))
% 46.58/46.82  (step @p196 :rule trans :premises (@p195 @p178))
% 46.58/46.82  (step @p197 :rule aci_norm :args ((= (or false @t222 @t221 @t193 @t192) @t225)))
% 46.58/46.82  (step @p198 :rule refl :args (@t221))
% 46.58/46.82  (step @p199 :rule refl :args (@t222))
% 46.58/46.82  (step @p200 :rule nary_cong :premises (@p175 @p199 @p198 @p171 @p170) :args (@t230))
% 46.58/46.82  (step @p201 :rule trans :premises (@p200 @p197))
% 46.58/46.82  (step @p202 :rule cong :premises (@p201) :args ((forall @t229 @t230)))
% 46.58/46.82  (step @p203 :rule trans :premises (@p202 @p196))
% 46.58/46.82  (step @p204 :rule quant-var-elim-eq :args ((= (forall @t72 @t232) @t230)))
% 46.58/46.82  (step @p205 :rule aci_norm :args ((= @t233 @t232)))
% 46.58/46.82  (step @p206 :rule cong :premises (@p205) :args (@t234))
% 46.58/46.82  (step @p207 :rule trans :premises (@p206 @p204))
% 46.58/46.82  (step @p208 :rule cong :premises (@p207) :args (@t235))
% 46.58/46.82  (step @p209 :rule quant-merge-prenex :args ((= @t235 @t236)))
% 46.58/46.82  (step @p210 :rule symm :premises (@p209))
% 46.58/46.82  (step @p211 :rule quant_var_reordering :args ((= (forall @t237 @t233) @t236)))
% 46.58/46.82  (step @p212 :rule trans :premises (@p211 @p210 @p208))
% 46.58/46.82  (step @p213 :rule trans :premises (@p212 @p203))
% 46.58/46.82  (step @p214 :rule aci_norm :args ((= @t239 @t233)))
% 46.58/46.82  (step @p215 :rule cong :premises (@p214) :args (@t240))
% 46.58/46.82  (step @p216 :rule trans :premises (@p215 @p213))
% 46.58/46.82  (step @p217 :rule quant-merge-prenex :args ((= (forall @t62 @t241) @t240)))
% 46.58/46.82  (step @p218 :rule refl :args (@t58))
% 46.58/46.82  (step @p219 :rule alpha_equiv :args (@t242 @t188 (@list @t64)))
% 46.58/46.82  (step @p220 :rule refl :args (@t231))
% 46.58/46.82  (step @p221 :rule nary_cong :premises (@p220 @p219 @p218) :args (@t243))
% 46.58/46.82  (step @p222 :rule quant-miniscope-or :args ((= @t241 @t243)))
% 46.58/46.82  (step @p223 :rule trans :premises (@p222 @p221))
% 46.58/46.82  (step @p224 :rule symm :premises (@p223))
% 46.58/46.82  (step @p225 :rule cong :premises (@p224) :args ((forall @t62 (or @t231 @t252 @t58))))
% 46.58/46.82  (step @p226 :rule trans :premises (@p225 @p217))
% 46.58/46.82  (step @p227 :rule trans :premises (@p226 @p216))
% 46.58/46.82  (step @p228 :rule bool-double-not-elim :args (@t252))
% 46.58/46.82  (step @p229 :rule nary_cong :premises (@p220 @p228 @p218) :args (@t255))
% 46.58/46.82  (step @p230 :rule aci_norm :args ((= (or @t231 (or @t254 @t58)) @t255)))
% 46.58/46.82  (step @p231 :rule trans :premises (@p230 @p229))
% 46.58/46.82  (step @p232 :rule bool-and-de-morgan :args (@t253 @t57 true))
% 46.58/46.82  (step @p233 :rule nary_cong :premises (@p220 @p232) :args ((or @t231 (not (and @t253 @t57)))))
% 46.58/46.82  (step @p234 :rule bool-and-de-morgan :args (@t71 @t253 (and @t57)))
% 46.58/46.82  (step @p235 :rule trans :premises (@p234 @p233))
% 46.58/46.82  (step @p236 :rule trans :premises (@p235 @p231))
% 46.58/46.82  (step @p237 :rule cong :premises (@p236) :args (@t257))
% 46.58/46.82  (step @p238 :rule trans :premises (@p237 @p227))
% 46.58/46.82  (step @p239 :rule cong :premises (@p238) :args (@t258))
% 46.58/46.82  (step @p240 :rule exists-elim :args ((= (exists @t62 @t256) @t258)))
% 46.58/46.82  (step @p241 :rule trans :premises (@p240 @p239))
% 46.58/46.82  (step @p242 :rule refl :args (@t57))
% 46.58/46.82  (step @p243 :rule aci_norm :args ((= (or false @t249 @t248 @t247) @t250)))
% 46.58/46.82  (step @p244 :rule arith_poly_norm :args ((= (* -1 (- @t259 0)) (* -1 (- @t245 1)))))
% 46.58/46.82  (step @p245 :rule arith_poly_norm_rel :premises (@p244) :args ((= (>= @t259 0) @t246)))
% 46.58/46.82  (step @p246 :rule refl :args (0))
% 46.58/46.82  (step @p247 :rule arith_poly_norm :args ((= @t260 @t259)))
% 46.58/46.82  (step @p248 :rule arith_poly_norm :args ((= @t262 @t260)))
% 46.58/46.82  (step @p249 :rule trans :premises (@p248 @p247))
% 46.58/46.82  (step @p250 :rule cong :premises (@p249 @p246) :args (@t263))
% 46.58/46.82  (step @p251 :rule trans :premises (@p250 @p245))
% 46.58/46.82  (step @p252 :rule cong :premises (@p251) :args (@t264))
% 46.58/46.82  (step @p253 :rule refl :args (@t248))
% 46.58/46.82  (step @p254 :rule refl :args (@t249))
% 46.58/46.82  (step @p255 :rule eq-refl :args (tptp.h_i))
% 46.58/46.82  (step @p256 :rule arith_poly_norm :args ((= @t265 tptp.h_i)))
% 46.58/46.82  (step @p257 :rule refl :args (tptp.h_i))
% 46.58/46.82  (step @p258 :rule cong :premises (@p257 @p256) :args (@t266))
% 46.58/46.82  (step @p259 :rule trans :premises (@p258 @p255))
% 46.58/46.82  (step @p260 :rule cong :premises (@p259) :args (@t267))
% 46.58/46.82  (step @p261 :rule trans :premises (@p260 @p46))
% 46.58/46.82  (step @p262 :rule nary_cong :premises (@p261 @p254 @p253 @p252) :args (@t268))
% 46.58/46.82  (step @p263 :rule trans :premises (@p262 @p243))
% 46.58/46.82  (step @p264 :rule cong :premises (@p263) :args ((forall @t251 @t268)))
% 46.58/46.82  (step @p265 :rule quant-var-elim-eq :args ((= (forall @t276 (or (not @t275) @t274 @t249 @t248 @t271)) @t268)))
% 46.58/46.82  (step @p266 :rule refl :args (@t271))
% 46.58/46.82  (step @p267 :rule refl :args (@t248))
% 46.58/46.82  (step @p268 :rule refl :args (@t249))
% 46.58/46.82  (step @p269 :rule refl :args (@t274))
% 46.58/46.82  (step @p270 :rule arith_poly_norm :args ((= (* 1 @t277) (* -1 (- @t63 @t261)))))
% 46.58/46.82  (step @p271 :rule arith_poly_norm_rel :premises (@p270) :args ((= @t273 @t275)))
% 46.58/46.82  (step @p272 :rule cong :premises (@p271) :args (@t274))
% 46.58/46.82  (step @p273 :rule nary_cong :premises (@p272 @p269 @p268 @p267 @p266) :args (@t278))
% 46.58/46.82  (step @p274 :rule aci_norm :args ((= @t279 @t278)))
% 46.58/46.82  (step @p275 :rule trans :premises (@p274 @p273))
% 46.58/46.82  (step @p276 :rule cong :premises (@p275) :args (@t280))
% 46.58/46.82  (step @p277 :rule trans :premises (@p276 @p265))
% 46.58/46.82  (step @p278 :rule cong :premises (@p277) :args (@t281))
% 46.58/46.82  (step @p279 :rule quant-merge-prenex :args ((= @t281 @t282)))
% 46.58/46.82  (step @p280 :rule symm :premises (@p279))
% 46.58/46.82  (step @p281 :rule quant_var_reordering :args ((= (forall @t283 @t279) @t282)))
% 46.58/46.82  (step @p282 :rule trans :premises (@p281 @p280 @p278))
% 46.58/46.82  (step @p283 :rule trans :premises (@p282 @p264))
% 46.58/46.82  (step @p284 :rule aci_norm :args ((= (or false @t274 @t249 @t248 @t271) @t279)))
% 46.58/46.82  (step @p285 :rule refl :args (@t271))
% 46.58/46.82  (step @p286 :rule arith_poly_norm :args ((= (* -1 (- 0 @t284)) (* -1 (- @t244 1)))))
% 46.58/46.82  (step @p287 :rule arith_poly_norm_rel :premises (@p286) :args ((= (>= 0 @t284) (>= @t244 1))))
% 46.58/46.82  (step @p288 :rule arith-geq-tighten :args (@t64 0))
% 46.58/46.82  (step @p289 :rule trans :premises (@p288 @p287))
% 46.58/46.82  (step @p290 :rule symm :premises (@p289))
% 46.58/46.82  (step @p291 :rule refl :args (1))
% 46.58/46.82  (step @p292 :rule arith_poly_norm :args ((= @t285 @t244)))
% 46.58/46.82  (step @p293 :rule cong :premises (@p292 @p291) :args (@t286))
% 46.58/46.82  (step @p294 :rule trans :premises (@p293 @p290))
% 46.58/46.82  (step @p295 :rule refl :args (@t274))
% 46.58/46.82  (step @p296 :rule evaluate :args (@t287))
% 46.58/46.82  (step @p297 :rule cong :premises (@p296) :args (@t288))
% 46.58/46.82  (step @p298 :rule trans :premises (@p297 @p46))
% 46.58/46.82  (step @p299 :rule nary_cong :premises (@p298 @p295 @p254 @p294 @p285) :args (@t289))
% 46.58/46.82  (step @p300 :rule trans :premises (@p299 @p284))
% 46.58/46.82  (step @p301 :rule cong :premises (@p300) :args ((forall @t283 @t289)))
% 46.58/46.82  (step @p302 :rule trans :premises (@p301 @p283))
% 46.58/46.82  (step @p303 :rule quant-var-elim-eq :args ((= (forall @t204 @t293) @t289)))
% 46.58/46.82  (step @p304 :rule aci_norm :args ((= @t294 @t293)))
% 46.58/46.82  (step @p305 :rule cong :premises (@p304) :args (@t295))
% 46.58/46.82  (step @p306 :rule trans :premises (@p305 @p303))
% 46.58/46.82  (step @p307 :rule cong :premises (@p306) :args (@t296))
% 46.58/46.82  (step @p308 :rule quant-merge-prenex :args ((= @t296 @t297)))
% 46.58/46.82  (step @p309 :rule symm :premises (@p308))
% 46.58/46.82  (step @p310 :rule quant_var_reordering :args ((= (forall @t70 @t294) @t297)))
% 46.58/46.82  (step @p311 :rule trans :premises (@p310 @p309 @p307))
% 46.58/46.82  (step @p312 :rule trans :premises (@p311 @p302))
% 46.58/46.82  (step @p313 :rule bool-double-not-elim :args (@t291))
% 46.58/46.82  (step @p314 :rule refl :args (@t292))
% 46.58/46.82  (step @p315 :rule nary_cong :premises (@p314 @p269 @p268 @p313 @p266) :args (@t300))
% 46.58/46.82  (step @p316 :rule aci_norm :args ((= (or @t292 (or @t274 (or @t249 (or @t299 @t271)))) @t300)))
% 46.58/46.82  (step @p317 :rule trans :premises (@p316 @p315))
% 46.58/46.82  (step @p318 :rule bool-and-de-morgan :args (@t298 @t270 true))
% 46.58/46.82  (step @p319 :rule nary_cong :premises (@p268 @p318) :args ((or @t249 (not (and @t298 @t270)))))
% 46.58/46.82  (step @p320 :rule bool-and-de-morgan :args (@t68 @t298 (and @t270)))
% 46.58/46.82  (step @p321 :rule trans :premises (@p320 @p319))
% 46.58/46.82  (step @p322 :rule nary_cong :premises (@p269 @p321) :args ((or @t274 (not (and @t68 @t298 @t270)))))
% 46.58/46.82  (step @p323 :rule bool-and-de-morgan :args (@t273 @t68 (and @t298 @t270)))
% 46.58/46.82  (step @p324 :rule trans :premises (@p323 @p322))
% 46.58/46.82  (step @p325 :rule nary_cong :premises (@p314 @p324) :args ((or @t292 (not (and @t273 @t68 @t298 @t270)))))
% 46.58/46.82  (step @p326 :rule bool-and-de-morgan :args (@t69 @t273 (and @t68 @t298 @t270)))
% 46.58/46.82  (step @p327 :rule trans :premises (@p326 @p325))
% 46.58/46.82  (step @p328 :rule trans :premises (@p327 @p317))
% 46.58/46.82  (step @p329 :rule cong :premises (@p328) :args (@t302))
% 46.58/46.82  (step @p330 :rule trans :premises (@p329 @p312))
% 46.58/46.82  (step @p331 :rule cong :premises (@p330) :args (@t303))
% 46.58/46.82  (step @p332 :rule exists-elim :args ((= (exists @t70 @t301) @t303)))
% 46.58/46.82  (step @p333 :rule trans :premises (@p332 @p331))
% 46.58/46.82  (step @p334 :rule arith_poly_norm :args ((= (* 1 (- @t63 @t64)) (* 1 (- @t269 0)))))
% 46.58/46.82  (step @p335 :rule arith_poly_norm_rel :premises (@p334) :args ((= (>= @t63 @t64) @t270)))
% 46.58/46.82  (step @p336 :rule arith-elim-leq :args (@t64 @t63))
% 46.58/46.82  (step @p337 :rule trans :premises (@p336 @p335))
% 46.58/46.82  (step @p338 :rule arith_poly_norm :args ((= (* -1 (- @t66 @t284)) (* -1 (- @t290 1)))))
% 46.58/46.82  (step @p339 :rule arith_poly_norm_rel :premises (@p338) :args ((= @t304 @t291)))
% 46.58/46.82  (step @p340 :rule cong :premises (@p339) :args ((not @t304)))
% 46.58/46.82  (step @p341 :rule arith-leq-norm :args (@t66 @t64))
% 46.58/46.82  (step @p342 :rule trans :premises (@p341 @p340))
% 46.58/46.82  (step @p343 :rule refl :args (@t68))
% 46.58/46.82  (step @p344 :rule bool-double-not-elim :args (@t273))
% 46.58/46.82  (step @p345 :rule aci_norm :args ((= (or false @t274) @t274)))
% 46.58/46.82  (step @p346 :rule arith_poly_norm :args ((= (* -1 (- @t306 1)) (* -1 @t277))))
% 46.58/46.82  (step @p347 :rule arith_poly_norm_rel :premises (@p346) :args ((= @t307 @t273)))
% 46.58/46.82  (step @p348 :rule cong :premises (@p347) :args (@t308))
% 46.58/46.82  (step @p349 :rule arith_poly_norm :args ((= @t309 tptp.h_i)))
% 46.58/46.82  (step @p350 :rule arith_poly_norm :args ((= @t310 @t309)))
% 46.58/46.82  (step @p351 :rule trans :premises (@p350 @p349))
% 46.58/46.82  (step @p352 :rule cong :premises (@p257 @p351) :args (@t311))
% 46.58/46.82  (step @p353 :rule trans :premises (@p352 @p255))
% 46.58/46.82  (step @p354 :rule cong :premises (@p353) :args (@t312))
% 46.58/46.82  (step @p355 :rule trans :premises (@p354 @p46))
% 46.58/46.82  (step @p356 :rule nary_cong :premises (@p355 @p348) :args (@t313))
% 46.58/46.82  (step @p357 :rule trans :premises (@p356 @p345))
% 46.58/46.82  (step @p358 :rule quant-var-elim-eq :args ((= (forall @t319 (or (not @t318) @t317 @t314)) @t313)))
% 46.58/46.82  (step @p359 :rule refl :args (@t314))
% 46.58/46.82  (step @p360 :rule refl :args (@t317))
% 46.58/46.82  (step @p361 :rule arith_poly_norm :args ((= (* -1 (- tptp.h_i @t315)) (* 1 (- @t78 @t306)))))
% 46.58/46.82  (step @p362 :rule arith_poly_norm_rel :premises (@p361) :args ((= @t316 @t318)))
% 46.58/46.82  (step @p363 :rule cong :premises (@p362) :args (@t317))
% 46.58/46.82  (step @p364 :rule nary_cong :premises (@p363 @p360 @p359) :args (@t320))
% 46.58/46.82  (step @p365 :rule aci_norm :args ((= @t321 @t320)))
% 46.58/46.82  (step @p366 :rule trans :premises (@p365 @p364))
% 46.58/46.82  (step @p367 :rule cong :premises (@p366) :args ((forall @t319 @t321)))
% 46.58/46.82  (step @p368 :rule trans :premises (@p367 @p358))
% 46.58/46.82  (step @p369 :rule trans :premises (@p368 @p357))
% 46.58/46.82  (step @p370 :rule aci_norm :args ((= (or false @t317 @t314) @t321)))
% 46.58/46.82  (step @p371 :rule refl :args (@t314))
% 46.58/46.82  (step @p372 :rule refl :args (@t317))
% 46.58/46.82  (step @p373 :rule eq-refl :args (@t315))
% 46.58/46.82  (step @p374 :rule cong :premises (@p373) :args (@t322))
% 46.58/46.82  (step @p375 :rule trans :premises (@p374 @p46))
% 46.58/46.82  (step @p376 :rule nary_cong :premises (@p375 @p372 @p371) :args (@t323))
% 46.58/46.82  (step @p377 :rule trans :premises (@p376 @p370))
% 46.58/46.82  (step @p378 :rule cong :premises (@p377) :args ((forall @t319 @t323)))
% 46.58/46.82  (step @p379 :rule trans :premises (@p378 @p369))
% 46.58/46.82  (step @p380 :rule quant-var-elim-eq :args ((= (forall @t204 @t328) @t323)))
% 46.58/46.82  (step @p381 :rule aci_norm :args ((= @t329 @t328)))
% 46.58/46.82  (step @p382 :rule cong :premises (@p381) :args (@t330))
% 46.58/46.82  (step @p383 :rule trans :premises (@p382 @p380))
% 46.58/46.82  (step @p384 :rule cong :premises (@p383) :args (@t331))
% 46.58/46.82  (step @p385 :rule quant-merge-prenex :args ((= @t331 @t332)))
% 46.58/46.82  (step @p386 :rule symm :premises (@p385))
% 46.58/46.82  (step @p387 :rule quant_var_reordering :args ((= (forall @t84 @t329) @t332)))
% 46.58/46.82  (step @p388 :rule trans :premises (@p387 @p386 @p384))
% 46.58/46.82  (step @p389 :rule trans :premises (@p388 @p379))
% 46.58/46.82  (step @p390 :rule aci_norm :args ((= (or @t327 (or @t325 @t314)) @t329)))
% 46.58/46.82  (step @p391 :rule bool-and-de-morgan :args (@t324 @t79 true))
% 46.58/46.82  (step @p392 :rule refl :args (@t327))
% 46.58/46.82  (step @p393 :rule nary_cong :premises (@p392 @p391) :args ((or @t327 (not (and @t324 @t79)))))
% 46.58/46.82  (step @p394 :rule bool-and-de-morgan :args (@t326 @t324 (and @t79)))
% 46.58/46.82  (step @p395 :rule trans :premises (@p394 @p393))
% 46.58/46.82  (step @p396 :rule trans :premises (@p395 @p390))
% 46.58/46.82  (step @p397 :rule cong :premises (@p396) :args (@t334))
% 46.58/46.82  (step @p398 :rule trans :premises (@p397 @p389))
% 46.58/46.82  (step @p399 :rule cong :premises (@p398) :args (@t335))
% 46.58/46.82  (step @p400 :rule trans :premises (@p399 @p344))
% 46.58/46.82  (step @p401 :rule exists-elim :args ((= (exists @t84 @t333) @t335)))
% 46.58/46.82  (step @p402 :rule trans :premises (@p401 @p400))
% 46.58/46.82  (step @p403 :rule refl :args (@t79))
% 46.58/46.82  (step @p404 :rule arith_poly_norm :args ((= (* 1 (- @t66 tptp.h_i)) (* -1 (- tptp.h_i @t66)))))
% 46.58/46.82  (step @p405 :rule arith_poly_norm_rel :premises (@p404) :args ((= @t80 @t324)))
% 46.58/46.82  (step @p406 :rule arith_poly_norm :args ((= (* 1 (- @t63 @t336)) (* -1 (- @t66 @t315)))))
% 46.58/46.82  (step @p407 :rule arith_poly_norm_rel :premises (@p406) :args ((= (= @t63 @t336) @t326)))
% 46.58/46.82  (step @p408 :rule arith_poly_norm :args ((= @t81 @t336)))
% 46.58/46.82  (step @p409 :rule refl :args (@t63))
% 46.58/46.82  (step @p410 :rule cong :premises (@p409 @p408) :args (@t82))
% 46.58/46.82  (step @p411 :rule trans :premises (@p410 @p407))
% 46.58/46.82  (step @p412 :rule nary_cong :premises (@p411 @p405 @p403) :args (@t83))
% 46.58/46.82  (step @p413 :rule cong :premises (@p412) :args (@t85))
% 46.58/46.82  (step @p414 :rule trans :premises (@p413 @p402))
% 46.58/46.82  (step @p415 :rule refl :args (@t69))
% 46.58/46.82  (step @p416 :rule nary_cong :premises (@p415 @p414 @p343 @p342 @p337) :args (@t86))
% 46.58/46.82  (step @p417 :rule cong :premises (@p416) :args (@t87))
% 46.58/46.82  (step @p418 :rule trans :premises (@p417 @p333))
% 46.58/46.82  (step @p419 :rule refl :args (@t71))
% 46.58/46.82  (step @p420 :rule nary_cong :premises (@p419 @p418 @p242) :args (@t88))
% 46.58/46.82  (step @p421 :rule cong :premises (@p420) :args (@t89))
% 46.58/46.82  (step @p422 :rule trans :premises (@p421 @p241))
% 46.58/46.82  (step @p423 :rule bool-double-not-elim :args (@t170))
% 46.58/46.82  (step @p424 :rule aci_norm :args ((= (or false @t171) @t171)))
% 46.58/46.82  (step @p425 :rule refl :args (@t171))
% 46.58/46.82  (step @p426 :rule nary_cong :premises (@p175 @p425) :args (@t337))
% 46.58/46.82  (step @p427 :rule trans :premises (@p426 @p424))
% 46.58/46.82  (step @p428 :rule quant-var-elim-eq :args ((= (forall @t342 (or @t341 @t340 @t338)) @t337)))
% 46.58/46.82  (step @p429 :rule refl :args (@t338))
% 46.58/46.82  (step @p430 :rule refl :args (@t340))
% 46.58/46.82  (step @p431 :rule eq-symm :args (@t38 @t35))
% 46.58/46.82  (step @p432 :rule cong :premises (@p431) :args (@t340))
% 46.58/46.82  (step @p433 :rule nary_cong :premises (@p432 @p430 @p429) :args (@t343))
% 46.58/46.82  (step @p434 :rule aci_norm :args ((= @t344 @t343)))
% 46.58/46.82  (step @p435 :rule trans :premises (@p434 @p433))
% 46.58/46.82  (step @p436 :rule cong :premises (@p435) :args ((forall @t342 @t344)))
% 46.58/46.82  (step @p437 :rule trans :premises (@p436 @p428))
% 46.58/46.82  (step @p438 :rule trans :premises (@p437 @p427))
% 46.58/46.82  (step @p439 :rule aci_norm :args ((= (or false @t340 @t338) @t344)))
% 46.58/46.82  (step @p440 :rule refl :args (@t338))
% 46.58/46.82  (step @p441 :rule refl :args (@t340))
% 46.58/46.82  (step @p442 :rule eq-refl :args (@t40))
% 46.58/46.82  (step @p443 :rule cong :premises (@p442) :args (@t345))
% 46.58/46.82  (step @p444 :rule trans :premises (@p443 @p46))
% 46.58/46.82  (step @p445 :rule nary_cong :premises (@p444 @p441 @p440) :args (@t346))
% 46.58/46.82  (step @p446 :rule trans :premises (@p445 @p439))
% 46.58/46.82  (step @p447 :rule cong :premises (@p446) :args ((forall @t342 @t346)))
% 46.58/46.82  (step @p448 :rule trans :premises (@p447 @p438))
% 46.58/46.82  (step @p449 :rule quant-var-elim-eq :args ((= (forall @t223 (or @t350 @t349 @t340 @t347)) @t346)))
% 46.58/46.82  (step @p450 :rule refl :args (@t347))
% 46.58/46.82  (step @p451 :rule refl :args (@t349))
% 46.58/46.82  (step @p452 :rule eq-symm :args (@t40 @t36))
% 46.58/46.82  (step @p453 :rule cong :premises (@p452) :args (@t349))
% 46.58/46.82  (step @p454 :rule nary_cong :premises (@p453 @p451 @p430 @p450) :args (@t351))
% 46.58/46.82  (step @p455 :rule aci_norm :args ((= @t352 @t351)))
% 46.58/46.82  (step @p456 :rule trans :premises (@p455 @p454))
% 46.58/46.82  (step @p457 :rule cong :premises (@p456) :args (@t353))
% 46.58/46.82  (step @p458 :rule trans :premises (@p457 @p449))
% 46.58/46.82  (step @p459 :rule cong :premises (@p458) :args (@t354))
% 46.58/46.82  (step @p460 :rule quant-merge-prenex :args ((= @t354 @t356)))
% 46.58/46.82  (step @p461 :rule symm :premises (@p460))
% 46.58/46.82  (step @p462 :rule quant_var_reordering :args ((= (forall @t357 @t352) @t356)))
% 46.58/46.82  (step @p463 :rule trans :premises (@p462 @p461 @p459))
% 46.58/46.82  (step @p464 :rule trans :premises (@p463 @p448))
% 46.58/46.82  (step @p465 :rule aci_norm :args ((= (or false @t349 @t340 @t347) @t352)))
% 46.58/46.82  (step @p466 :rule refl :args (@t347))
% 46.58/46.82  (step @p467 :rule refl :args (@t349))
% 46.58/46.82  (step @p468 :rule eq-refl :args (@t42))
% 46.58/46.82  (step @p469 :rule cong :premises (@p468) :args (@t358))
% 46.58/46.82  (step @p470 :rule trans :premises (@p469 @p46))
% 46.58/46.82  (step @p471 :rule nary_cong :premises (@p470 @p467 @p441 @p466) :args (@t359))
% 46.58/46.82  (step @p472 :rule trans :premises (@p471 @p465))
% 46.58/46.82  (step @p473 :rule cong :premises (@p472) :args ((forall @t357 @t359)))
% 46.58/46.82  (step @p474 :rule trans :premises (@p473 @p464))
% 46.58/46.82  (step @p475 :rule quant-var-elim-eq :args ((= (forall @t72 @t362) @t359)))
% 46.58/46.82  (step @p476 :rule aci_norm :args ((= @t363 @t362)))
% 46.58/46.82  (step @p477 :rule cong :premises (@p476) :args (@t364))
% 46.58/46.82  (step @p478 :rule trans :premises (@p477 @p475))
% 46.58/46.82  (step @p479 :rule cong :premises (@p478) :args (@t365))
% 46.58/46.82  (step @p480 :rule quant-merge-prenex :args ((= @t365 @t367)))
% 46.58/46.82  (step @p481 :rule symm :premises (@p480))
% 46.58/46.82  (step @p482 :rule quant_var_reordering :args ((= (forall @t45 @t363) @t367)))
% 46.58/46.82  (step @p483 :rule trans :premises (@p482 @p481 @p479))
% 46.58/46.82  (step @p484 :rule trans :premises (@p483 @p474))
% 46.58/46.82  (step @p485 :rule aci_norm :args ((= (or @t361 (or @t349 (or @t340 @t360))) @t363)))
% 46.58/46.82  (step @p486 :rule bool-and-de-morgan :args (@t339 @t53 true))
% 46.58/46.82  (step @p487 :rule nary_cong :premises (@p451 @p486) :args ((or @t349 (not (and @t339 @t53)))))
% 46.58/46.82  (step @p488 :rule bool-and-de-morgan :args (@t348 @t339 (and @t53)))
% 46.58/46.82  (step @p489 :rule trans :premises (@p488 @p487))
% 46.58/46.82  (step @p490 :rule refl :args (@t361))
% 46.58/46.82  (step @p491 :rule nary_cong :premises (@p490 @p489) :args ((or @t361 (not (and @t348 @t339 @t53)))))
% 46.58/46.82  (step @p492 :rule bool-and-de-morgan :args (@t43 @t348 (and @t339 @t53)))
% 46.58/46.82  (step @p493 :rule trans :premises (@p492 @p491))
% 46.58/46.82  (step @p494 :rule trans :premises (@p493 @p485))
% 46.58/46.82  (step @p495 :rule cong :premises (@p494) :args (@t369))
% 46.58/46.82  (step @p496 :rule trans :premises (@p495 @p484))
% 46.58/46.82  (step @p497 :rule cong :premises (@p496) :args (@t370))
% 46.58/46.82  (step @p498 :rule trans :premises (@p497 @p423))
% 46.58/46.82  (step @p499 :rule exists-elim :args ((= (exists @t45 @t368) @t370)))
% 46.58/46.82  (step @p500 :rule trans :premises (@p499 @p498))
% 46.58/46.82  (step @p501 :rule refl :args (@t53))
% 46.58/46.82  (step @p502 :rule eq-symm :args (@t35 @t38))
% 46.58/46.82  (step @p503 :rule eq-symm :args (@t36 @t40))
% 46.58/46.82  (step @p504 :rule refl :args (@t43))
% 46.58/46.82  (step @p505 :rule nary_cong :premises (@p504 @p503 @p502 @p501) :args (@t54))
% 46.58/46.82  (step @p506 :rule cong :premises (@p505) :args (@t55))
% 46.58/46.82  (step @p507 :rule trans :premises (@p506 @p500))
% 46.58/46.82  (step @p508 :rule aci_norm :args ((= (or @t202 @t200 false) @t203)))
% 46.58/46.82  (step @p509 :rule evaluate :args (@t371))
% 46.58/46.82  (step @p510 :rule cong :premises (@p509) :args (@t372))
% 46.58/46.82  (step @p511 :rule trans :premises (@p510 @p46))
% 46.58/46.82  (step @p512 :rule refl :args (@t200))
% 46.58/46.82  (step @p513 :rule arith_poly_norm :args ((= @t373 @t201)))
% 46.58/46.82  (step @p514 :rule cong :premises (@p513) :args (@t374))
% 46.58/46.82  (step @p515 :rule refl :args (@t74))
% 46.58/46.82  (step @p516 :rule cong :premises (@p515 @p514) :args (@t375))
% 46.58/46.82  (step @p517 :rule cong :premises (@p516) :args (@t376))
% 46.58/46.82  (step @p518 :rule nary_cong :premises (@p517 @p512 @p511) :args (@t377))
% 46.58/46.82  (step @p519 :rule trans :premises (@p518 @p508))
% 46.58/46.82  (step @p520 :rule cong :premises (@p519) :args ((forall @t204 @t377)))
% 46.58/46.82  (step @p521 :rule quant-var-elim-eq :args ((= (forall @t276 @t380) @t377)))
% 46.58/46.82  (step @p522 :rule aci_norm :args ((= @t381 @t380)))
% 46.58/46.82  (step @p523 :rule cong :premises (@p522) :args (@t382))
% 46.58/46.82  (step @p524 :rule trans :premises (@p523 @p521))
% 46.58/46.82  (step @p525 :rule cong :premises (@p524) :args (@t383))
% 46.58/46.82  (step @p526 :rule quant-merge-prenex :args ((= @t383 (forall @t94 @t381))))
% 46.58/46.82  (step @p527 :rule symm :premises (@p526))
% 46.58/46.82  (step @p528 :rule trans :premises (@p527 @p525))
% 46.58/46.82  (step @p529 :rule trans :premises (@p528 @p520))
% 46.58/46.82  (step @p530 :rule aci_norm :args ((= (or @t379 (or @t200 @t378)) @t381)))
% 46.58/46.82  (step @p531 :rule bool-and-de-morgan :args (@t199 @t90 true))
% 46.58/46.82  (step @p532 :rule refl :args (@t379))
% 46.58/46.82  (step @p533 :rule nary_cong :premises (@p532 @p531) :args ((or @t379 (not (and @t199 @t90)))))
% 46.58/46.82  (step @p534 :rule bool-and-de-morgan :args (@t92 @t199 (and @t90)))
% 46.58/46.82  (step @p535 :rule trans :premises (@p534 @p533))
% 46.58/46.82  (step @p536 :rule trans :premises (@p535 @p530))
% 46.58/46.82  (step @p537 :rule cong :premises (@p536) :args (@t385))
% 46.58/46.82  (step @p538 :rule trans :premises (@p537 @p529))
% 46.58/46.82  (step @p539 :rule cong :premises (@p538) :args (@t386))
% 46.58/46.82  (step @p540 :rule exists-elim :args ((= (exists @t94 @t384) @t386)))
% 46.58/46.82  (step @p541 :rule trans :premises (@p540 @p539))
% 46.58/46.82  (step @p542 :rule refl :args (@t90))
% 46.58/46.82  (step @p543 :rule eq-symm :args (@t91 @t38))
% 46.58/46.82  (step @p544 :rule refl :args (@t92))
% 46.58/46.82  (step @p545 :rule nary_cong :premises (@p544 @p543 @p542) :args (@t93))
% 46.58/46.82  (step @p546 :rule cong :premises (@p545) :args (@t95))
% 46.58/46.82  (step @p547 :rule trans :premises (@p546 @p541))
% 46.58/46.82  (step @p548 :rule refl :args (@t96))
% 46.58/46.82  (step @p549 :rule refl :args (@t50))
% 46.58/46.82  (step @p550 :rule nary_cong :premises (@p549 @p548 @p547 @p507 @p422 @p28) :args (@t97))
% 46.58/46.82  (step @p551 :rule cong :premises (@p550) :args (@t99))
% 46.58/46.82  (step @p552 :rule trans :premises (@p551 @p168))
% 46.58/46.82  (step @p553 :rule aci_norm :args ((= (or @t135 @t133 false) @t136)))
% 46.58/46.82  (step @p554 :rule eq-refl :args (@t134))
% 46.58/46.82  (step @p555 :rule cong :premises (@p554) :args (@t387))
% 46.58/46.82  (step @p556 :rule trans :premises (@p555 @p46))
% 46.58/46.82  (step @p557 :rule refl :args (@t133))
% 46.58/46.82  (step @p558 :rule refl :args (@t135))
% 46.58/46.82  (step @p559 :rule nary_cong :premises (@p558 @p557 @p556) :args (@t388))
% 46.58/46.82  (step @p560 :rule trans :premises (@p559 @p553))
% 46.58/46.82  (step @p561 :rule cong :premises (@p560) :args ((forall @t137 @t388)))
% 46.58/46.82  (step @p562 :rule quant-var-elim-eq :args ((= (forall @t150 @t391) @t388)))
% 46.58/46.82  (step @p563 :rule aci_norm :args ((= @t392 @t391)))
% 46.58/46.82  (step @p564 :rule cong :premises (@p563) :args (@t393))
% 46.58/46.82  (step @p565 :rule trans :premises (@p564 @p562))
% 46.58/46.82  (step @p566 :rule cong :premises (@p565) :args (@t394))
% 46.58/46.82  (step @p567 :rule quant-merge-prenex :args ((= @t394 @t395)))
% 46.58/46.82  (step @p568 :rule symm :premises (@p567))
% 46.58/46.82  (step @p569 :rule quant_var_reordering :args ((= (forall @t396 @t392) @t395)))
% 46.58/46.82  (step @p570 :rule trans :premises (@p569 @p568 @p566))
% 46.58/46.82  (step @p571 :rule trans :premises (@p570 @p561))
% 46.58/46.82  (step @p572 :rule aci_norm :args ((= (or false @t390 @t133 @t389) @t392)))
% 46.58/46.82  (step @p573 :rule refl :args (@t389))
% 46.58/46.82  (step @p574 :rule refl :args (@t390))
% 46.58/46.82  (step @p575 :rule nary_cong :premises (@p71 @p574 @p557 @p573) :args (@t397))
% 46.58/46.82  (step @p576 :rule trans :premises (@p575 @p572))
% 46.58/46.82  (step @p577 :rule cong :premises (@p576) :args ((forall @t396 @t397)))
% 46.58/46.82  (step @p578 :rule trans :premises (@p577 @p571))
% 46.58/46.82  (step @p579 :rule quant-var-elim-eq :args ((= (forall @t161 (or @t160 @t159 @t398 @t133 @t389)) @t397)))
% 46.58/46.82  (step @p580 :rule refl :args (@t389))
% 46.58/46.82  (step @p581 :rule refl :args (@t133))
% 46.58/46.82  (step @p582 :rule refl :args (@t398))
% 46.58/46.82  (step @p583 :rule nary_cong :premises (@p85 @p83 @p582 @p581 @p580) :args (@t399))
% 46.58/46.82  (step @p584 :rule aci_norm :args ((= @t400 @t399)))
% 46.58/46.82  (step @p585 :rule trans :premises (@p584 @p583))
% 46.58/46.82  (step @p586 :rule cong :premises (@p585) :args (@t401))
% 46.58/46.82  (step @p587 :rule trans :premises (@p586 @p579))
% 46.58/46.82  (step @p588 :rule cong :premises (@p587) :args (@t402))
% 46.58/46.82  (step @p589 :rule quant-merge-prenex :args ((= @t402 @t403)))
% 46.58/46.82  (step @p590 :rule symm :premises (@p589))
% 46.58/46.82  (step @p591 :rule quant_var_reordering :args ((= (forall @t404 @t400) @t403)))
% 46.58/46.82  (step @p592 :rule trans :premises (@p591 @p590 @p588))
% 46.58/46.82  (step @p593 :rule trans :premises (@p592 @p578))
% 46.58/46.82  (step @p594 :rule aci_norm :args ((= (or false @t159 @t398 @t133 @t389) @t400)))
% 46.58/46.82  (step @p595 :rule refl :args (@t398))
% 46.58/46.82  (step @p596 :rule nary_cong :premises (@p102 @p99 @p595 @p557 @p573) :args (@t405))
% 46.58/46.82  (step @p597 :rule trans :premises (@p596 @p594))
% 46.58/46.82  (step @p598 :rule cong :premises (@p597) :args ((forall @t404 @t405)))
% 46.58/46.82  (step @p599 :rule trans :premises (@p598 @p593))
% 46.58/46.82  (step @p600 :rule quant-var-elim-eq :args ((= (forall @t174 (or @t173 @t172 @t159 @t407 @t133 @t389)) @t405)))
% 46.58/46.82  (step @p601 :rule refl :args (@t407))
% 46.58/46.82  (step @p602 :rule nary_cong :premises (@p111 @p109 @p83 @p601 @p581 @p580) :args (@t408))
% 46.58/46.82  (step @p603 :rule aci_norm :args ((= @t409 @t408)))
% 46.58/46.82  (step @p604 :rule trans :premises (@p603 @p602))
% 46.58/46.82  (step @p605 :rule cong :premises (@p604) :args (@t410))
% 46.58/46.82  (step @p606 :rule trans :premises (@p605 @p600))
% 46.58/46.82  (step @p607 :rule cong :premises (@p606) :args (@t411))
% 46.58/46.82  (step @p608 :rule quant-merge-prenex :args ((= @t411 @t412)))
% 46.58/46.82  (step @p609 :rule symm :premises (@p608))
% 46.58/46.82  (step @p610 :rule quant_var_reordering :args ((= (forall @t413 @t409) @t412)))
% 46.58/46.82  (step @p611 :rule trans :premises (@p610 @p609 @p607))
% 46.58/46.82  (step @p612 :rule trans :premises (@p611 @p599))
% 46.58/46.82  (step @p613 :rule aci_norm :args ((= @t415 @t409)))
% 46.58/46.82  (step @p614 :rule cong :premises (@p613) :args (@t416))
% 46.58/46.82  (step @p615 :rule trans :premises (@p614 @p612))
% 46.58/46.82  (step @p616 :rule quant-merge-prenex :args ((= (forall @t98 @t417) @t416)))
% 46.58/46.82  (step @p617 :rule alpha_equiv :args (@t418 (@list @t131) @t190))
% 46.58/46.82  (step @p618 :rule nary_cong :premises (@p109 @p83 @p617 @p601) :args (@t419))
% 46.58/46.82  (step @p619 :rule quant-miniscope-or :args ((= @t417 @t419)))
% 46.58/46.82  (step @p620 :rule trans :premises (@p619 @p618))
% 46.58/46.82  (step @p621 :rule symm :premises (@p620))
% 46.58/46.82  (step @p622 :rule cong :premises (@p621) :args ((forall @t98 (or @t172 @t159 @t205 @t407))))
% 46.58/46.82  (step @p623 :rule trans :premises (@p622 @p616))
% 46.58/46.82  (step @p624 :rule trans :premises (@p623 @p615))
% 46.58/46.82  (step @p625 :rule nary_cong :premises (@p109 @p83 @p145 @p601) :args (@t420))
% 46.58/46.82  (step @p626 :rule aci_norm :args ((= (or @t172 (or @t159 (or @t214 @t407))) @t420)))
% 46.58/46.82  (step @p627 :rule trans :premises (@p626 @p625))
% 46.58/46.82  (step @p628 :rule bool-and-de-morgan :args (@t213 @t406 true))
% 46.58/46.82  (step @p629 :rule nary_cong :premises (@p83 @p628) :args ((or @t159 (not (and @t213 @t406)))))
% 46.58/46.82  (step @p630 :rule bool-and-de-morgan :args (@t96 @t213 (and @t406)))
% 46.58/46.82  (step @p631 :rule trans :premises (@p630 @p629))
% 46.58/46.82  (step @p632 :rule nary_cong :premises (@p109 @p631) :args ((or @t172 (not (and @t96 @t213 @t406)))))
% 46.58/46.82  (step @p633 :rule bool-and-de-morgan :args (@t50 @t96 (and @t213 @t406)))
% 46.58/46.82  (step @p634 :rule trans :premises (@p633 @p632))
% 46.58/46.82  (step @p635 :rule trans :premises (@p634 @p627))
% 46.58/46.82  (step @p636 :rule cong :premises (@p635) :args (@t422))
% 46.58/46.82  (step @p637 :rule trans :premises (@p636 @p624))
% 46.58/46.82  (step @p638 :rule cong :premises (@p637) :args (@t423))
% 46.58/46.82  (step @p639 :rule exists-elim :args ((= (exists @t98 @t421) @t423)))
% 46.58/46.82  (step @p640 :rule trans :premises (@p639 @p638))
% 46.58/46.82  (step @p641 :rule bool-double-not-elim :args (@t406))
% 46.58/46.82  (step @p642 :rule aci_norm :args ((= (or false @t407) @t407)))
% 46.58/46.82  (step @p643 :rule refl :args (@t407))
% 46.58/46.82  (step @p644 :rule nary_cong :premises (@p175 @p643) :args (@t424))
% 46.58/46.82  (step @p645 :rule trans :premises (@p644 @p642))
% 46.58/46.82  (step @p646 :rule quant-var-elim-eq :args ((= (forall @t342 (or @t341 @t340 @t425)) @t424)))
% 46.58/46.82  (step @p647 :rule refl :args (@t425))
% 46.58/46.82  (step @p648 :rule nary_cong :premises (@p432 @p430 @p647) :args (@t426))
% 46.58/46.82  (step @p649 :rule aci_norm :args ((= @t427 @t426)))
% 46.58/46.82  (step @p650 :rule trans :premises (@p649 @p648))
% 46.58/46.82  (step @p651 :rule cong :premises (@p650) :args ((forall @t342 @t427)))
% 46.58/46.82  (step @p652 :rule trans :premises (@p651 @p646))
% 46.58/46.82  (step @p653 :rule trans :premises (@p652 @p645))
% 46.58/46.82  (step @p654 :rule aci_norm :args ((= (or false @t340 @t425) @t427)))
% 46.58/46.82  (step @p655 :rule refl :args (@t425))
% 46.58/46.82  (step @p656 :rule nary_cong :premises (@p444 @p441 @p655) :args (@t428))
% 46.58/46.82  (step @p657 :rule trans :premises (@p656 @p654))
% 46.58/46.82  (step @p658 :rule cong :premises (@p657) :args ((forall @t342 @t428)))
% 46.58/46.82  (step @p659 :rule trans :premises (@p658 @p653))
% 46.58/46.82  (step @p660 :rule quant-var-elim-eq :args ((= (forall @t223 (or @t350 @t349 @t340 @t429)) @t428)))
% 46.58/46.82  (step @p661 :rule refl :args (@t429))
% 46.58/46.82  (step @p662 :rule nary_cong :premises (@p453 @p451 @p430 @p661) :args (@t430))
% 46.58/46.82  (step @p663 :rule aci_norm :args ((= @t431 @t430)))
% 46.58/46.82  (step @p664 :rule trans :premises (@p663 @p662))
% 46.58/46.82  (step @p665 :rule cong :premises (@p664) :args (@t432))
% 46.58/46.82  (step @p666 :rule trans :premises (@p665 @p660))
% 46.58/46.82  (step @p667 :rule cong :premises (@p666) :args (@t433))
% 46.58/46.82  (step @p668 :rule quant-merge-prenex :args ((= @t433 @t434)))
% 46.58/46.82  (step @p669 :rule symm :premises (@p668))
% 46.58/46.82  (step @p670 :rule quant_var_reordering :args ((= (forall @t357 @t431) @t434)))
% 46.58/46.82  (step @p671 :rule trans :premises (@p670 @p669 @p667))
% 46.58/46.82  (step @p672 :rule trans :premises (@p671 @p659))
% 46.58/46.82  (step @p673 :rule aci_norm :args ((= (or false @t349 @t340 @t429) @t431)))
% 46.58/46.82  (step @p674 :rule refl :args (@t429))
% 46.58/46.82  (step @p675 :rule nary_cong :premises (@p470 @p467 @p441 @p674) :args (@t435))
% 46.58/46.82  (step @p676 :rule trans :premises (@p675 @p673))
% 46.58/46.82  (step @p677 :rule cong :premises (@p676) :args ((forall @t357 @t435)))
% 46.58/46.82  (step @p678 :rule trans :premises (@p677 @p672))
% 46.58/46.82  (step @p679 :rule quant-var-elim-eq :args ((= (forall @t72 @t437) @t435)))
% 46.58/46.82  (step @p680 :rule aci_norm :args ((= @t438 @t437)))
% 46.58/46.82  (step @p681 :rule cong :premises (@p680) :args (@t439))
% 46.58/46.82  (step @p682 :rule trans :premises (@p681 @p679))
% 46.58/46.82  (step @p683 :rule cong :premises (@p682) :args (@t440))
% 46.58/46.82  (step @p684 :rule quant-merge-prenex :args ((= @t440 @t441)))
% 46.58/46.82  (step @p685 :rule symm :premises (@p684))
% 46.58/46.82  (step @p686 :rule quant_var_reordering :args ((= (forall @t45 @t438) @t441)))
% 46.58/46.82  (step @p687 :rule trans :premises (@p686 @p685 @p683))
% 46.58/46.82  (step @p688 :rule trans :premises (@p687 @p678))
% 46.58/46.82  (step @p689 :rule aci_norm :args ((= (or @t361 (or @t349 (or @t340 @t436))) @t438)))
% 46.58/46.82  (step @p690 :rule bool-and-de-morgan :args (@t339 @t37 true))
% 46.58/46.82  (step @p691 :rule nary_cong :premises (@p451 @p690) :args ((or @t349 (not (and @t339 @t37)))))
% 46.58/46.82  (step @p692 :rule bool-and-de-morgan :args (@t348 @t339 (and @t37)))
% 46.58/46.82  (step @p693 :rule trans :premises (@p692 @p691))
% 46.58/46.82  (step @p694 :rule nary_cong :premises (@p490 @p693) :args ((or @t361 (not (and @t348 @t339 @t37)))))
% 46.58/46.82  (step @p695 :rule bool-and-de-morgan :args (@t43 @t348 (and @t339 @t37)))
% 46.58/46.82  (step @p696 :rule trans :premises (@p695 @p694))
% 46.58/46.82  (step @p697 :rule trans :premises (@p696 @p689))
% 46.58/46.82  (step @p698 :rule cong :premises (@p697) :args (@t443))
% 46.58/46.82  (step @p699 :rule trans :premises (@p698 @p688))
% 46.58/46.82  (step @p700 :rule cong :premises (@p699) :args (@t444))
% 46.58/46.82  (step @p701 :rule trans :premises (@p700 @p641))
% 46.58/46.82  (step @p702 :rule exists-elim :args ((= (exists @t45 @t442) @t444)))
% 46.58/46.82  (step @p703 :rule trans :premises (@p702 @p701))
% 46.58/46.82  (step @p704 :rule refl :args (@t37))
% 46.58/46.82  (step @p705 :rule nary_cong :premises (@p504 @p503 @p502 @p704) :args (@t44))
% 46.58/46.82  (step @p706 :rule cong :premises (@p705) :args (@t46))
% 46.58/46.82  (step @p707 :rule trans :premises (@p706 @p703))
% 46.58/46.82  (step @p708 :rule nary_cong :premises (@p549 @p548 @p547 @p707) :args (@t100))
% 46.58/46.82  (step @p709 :rule cong :premises (@p708) :args (@t101))
% 46.58/46.82  (step @p710 :rule trans :premises (@p709 @p640))
% 46.58/46.82  (step @p711 :rule aci_norm :args ((= (or false @t140) @t140)))
% 46.58/46.82  (step @p712 :rule refl :args (@t140))
% 46.58/46.82  (step @p713 :rule nary_cong :premises (@p71 @p712) :args (@t445))
% 46.58/46.82  (step @p714 :rule trans :premises (@p713 @p711))
% 46.58/46.82  (step @p715 :rule quant-var-elim-eq :args ((= (forall @t161 (or @t160 @t159 @t446)) @t445)))
% 46.58/46.82  (step @p716 :rule refl :args (@t446))
% 46.58/46.82  (step @p717 :rule nary_cong :premises (@p85 @p83 @p716) :args (@t447))
% 46.58/46.82  (step @p718 :rule aci_norm :args ((= @t448 @t447)))
% 46.58/46.82  (step @p719 :rule trans :premises (@p718 @p717))
% 46.58/46.82  (step @p720 :rule cong :premises (@p719) :args ((forall @t161 @t448)))
% 46.58/46.82  (step @p721 :rule trans :premises (@p720 @p715))
% 46.58/46.82  (step @p722 :rule trans :premises (@p721 @p714))
% 46.58/46.82  (step @p723 :rule aci_norm :args ((= (or false @t159 @t446) @t448)))
% 46.58/46.82  (step @p724 :rule refl :args (@t446))
% 46.58/46.82  (step @p725 :rule nary_cong :premises (@p102 @p99 @p724) :args (@t449))
% 46.58/46.82  (step @p726 :rule trans :premises (@p725 @p723))
% 46.58/46.82  (step @p727 :rule cong :premises (@p726) :args ((forall @t161 @t449)))
% 46.58/46.82  (step @p728 :rule trans :premises (@p727 @p722))
% 46.58/46.82  (step @p729 :rule quant-var-elim-eq :args ((= (forall @t174 (or @t173 @t172 @t159 @t451)) @t449)))
% 46.58/46.82  (step @p730 :rule refl :args (@t451))
% 46.58/46.82  (step @p731 :rule nary_cong :premises (@p111 @p109 @p83 @p730) :args (@t452))
% 46.58/46.82  (step @p732 :rule aci_norm :args ((= @t453 @t452)))
% 46.58/46.82  (step @p733 :rule trans :premises (@p732 @p731))
% 46.58/46.82  (step @p734 :rule cong :premises (@p733) :args (@t454))
% 46.58/46.82  (step @p735 :rule trans :premises (@p734 @p729))
% 46.58/46.82  (step @p736 :rule cong :premises (@p735) :args (@t455))
% 46.58/46.82  (step @p737 :rule quant-merge-prenex :args ((= @t455 @t456)))
% 46.58/46.82  (step @p738 :rule symm :premises (@p737))
% 46.58/46.82  (step @p739 :rule quant_var_reordering :args ((= @t457 @t456)))
% 46.58/46.82  (step @p740 :rule trans :premises (@p739 @p738 @p736))
% 46.58/46.82  (step @p741 :rule trans :premises (@p740 @p728))
% 46.58/46.82  (step @p742 :rule refl :args (@t141))
% 46.58/46.82  (step @p743 :rule nary_cong :premises (@p742 @p741) :args (@t458))
% 46.58/46.82  (step @p744 :rule quant-miniscope-or :args ((= (forall @t108 @t459) @t458)))
% 46.58/46.82  (step @p745 :rule aci_norm :args ((= @t460 @t459)))
% 46.58/46.82  (step @p746 :rule cong :premises (@p745) :args ((forall @t108 @t460)))
% 46.58/46.82  (step @p747 :rule trans :premises (@p746 @p744))
% 46.58/46.82  (step @p748 :rule trans :premises (@p747 @p743))
% 46.58/46.82  (step @p749 :rule aci_norm :args ((= (or @t172 (or @t159 (or @t141 @t451))) @t460)))
% 46.58/46.82  (step @p750 :rule bool-and-de-morgan :args (@t106 @t450 true))
% 46.58/46.82  (step @p751 :rule nary_cong :premises (@p83 @p750) :args ((or @t159 (not (and @t106 @t450)))))
% 46.58/46.82  (step @p752 :rule bool-and-de-morgan :args (@t96 @t106 (and @t450)))
% 46.58/46.82  (step @p753 :rule trans :premises (@p752 @p751))
% 46.58/46.82  (step @p754 :rule nary_cong :premises (@p109 @p753) :args ((or @t172 (not (and @t96 @t106 @t450)))))
% 46.58/46.82  (step @p755 :rule bool-and-de-morgan :args (@t50 @t96 (and @t106 @t450)))
% 46.58/46.82  (step @p756 :rule trans :premises (@p755 @p754))
% 46.58/46.82  (step @p757 :rule trans :premises (@p756 @p749))
% 46.58/46.82  (step @p758 :rule cong :premises (@p757) :args (@t462))
% 46.58/46.82  (step @p759 :rule trans :premises (@p758 @p748))
% 46.58/46.82  (step @p760 :rule cong :premises (@p759) :args (@t463))
% 46.58/46.82  (step @p761 :rule exists-elim :args ((= (exists @t108 @t461) @t463)))
% 46.58/46.82  (step @p762 :rule trans :premises (@p761 @p760))
% 46.58/46.82  (step @p763 :rule bool-double-not-elim :args (@t450))
% 46.58/46.82  (step @p764 :rule aci_norm :args ((= (or false @t451) @t451)))
% 46.58/46.82  (step @p765 :rule refl :args (@t451))
% 46.58/46.82  (step @p766 :rule nary_cong :premises (@p444 @p765) :args (@t464))
% 46.58/46.82  (step @p767 :rule trans :premises (@p766 @p764))
% 46.58/46.82  (step @p768 :rule quant-var-elim-eq :args ((= (forall @t223 (or @t350 @t349 @t465)) @t464)))
% 46.58/46.82  (step @p769 :rule refl :args (@t465))
% 46.58/46.82  (step @p770 :rule nary_cong :premises (@p453 @p451 @p769) :args (@t466))
% 46.58/46.82  (step @p771 :rule aci_norm :args ((= @t467 @t466)))
% 46.58/46.82  (step @p772 :rule trans :premises (@p771 @p770))
% 46.58/46.82  (step @p773 :rule cong :premises (@p772) :args ((forall @t223 @t467)))
% 46.58/46.82  (step @p774 :rule trans :premises (@p773 @p768))
% 46.58/46.82  (step @p775 :rule trans :premises (@p774 @p767))
% 46.58/46.82  (step @p776 :rule aci_norm :args ((= (or false @t349 @t465) @t467)))
% 46.58/46.82  (step @p777 :rule refl :args (@t465))
% 46.58/46.82  (step @p778 :rule nary_cong :premises (@p470 @p467 @p777) :args (@t468))
% 46.58/46.82  (step @p779 :rule trans :premises (@p778 @p776))
% 46.58/46.82  (step @p780 :rule cong :premises (@p779) :args ((forall @t223 @t468)))
% 46.58/46.82  (step @p781 :rule trans :premises (@p780 @p775))
% 46.58/46.82  (step @p782 :rule quant-var-elim-eq :args ((= (forall @t72 @t470) @t468)))
% 46.58/46.82  (step @p783 :rule aci_norm :args ((= @t471 @t470)))
% 46.58/46.82  (step @p784 :rule cong :premises (@p783) :args (@t472))
% 46.58/46.82  (step @p785 :rule trans :premises (@p784 @p782))
% 46.58/46.82  (step @p786 :rule cong :premises (@p785) :args (@t473))
% 46.58/46.82  (step @p787 :rule quant-merge-prenex :args ((= @t473 @t474)))
% 46.58/46.82  (step @p788 :rule symm :premises (@p787))
% 46.58/46.82  (step @p789 :rule quant_var_reordering :args ((= (forall @t62 @t471) @t474)))
% 46.58/46.82  (step @p790 :rule trans :premises (@p789 @p788 @p786))
% 46.58/46.82  (step @p791 :rule trans :premises (@p790 @p781))
% 46.58/46.82  (step @p792 :rule aci_norm :args ((= (or @t361 (or @t349 @t469)) @t471)))
% 46.58/46.82  (step @p793 :rule bool-and-de-morgan :args (@t348 @t102 true))
% 46.58/46.82  (step @p794 :rule nary_cong :premises (@p490 @p793) :args ((or @t361 (not (and @t348 @t102)))))
% 46.58/46.82  (step @p795 :rule bool-and-de-morgan :args (@t43 @t348 (and @t102)))
% 46.58/46.82  (step @p796 :rule trans :premises (@p795 @p794))
% 46.58/46.82  (step @p797 :rule trans :premises (@p796 @p792))
% 46.58/46.82  (step @p798 :rule cong :premises (@p797) :args (@t476))
% 46.58/46.82  (step @p799 :rule trans :premises (@p798 @p791))
% 46.58/46.82  (step @p800 :rule cong :premises (@p799) :args (@t477))
% 46.58/46.82  (step @p801 :rule trans :premises (@p800 @p763))
% 46.58/46.82  (step @p802 :rule exists-elim :args ((= (exists @t62 @t475) @t477)))
% 46.58/46.82  (step @p803 :rule trans :premises (@p802 @p801))
% 46.58/46.82  (step @p804 :rule refl :args (@t102))
% 46.58/46.82  (step @p805 :rule nary_cong :premises (@p504 @p503 @p804) :args (@t103))
% 46.58/46.82  (step @p806 :rule cong :premises (@p805) :args (@t104))
% 46.58/46.82  (step @p807 :rule trans :premises (@p806 @p803))
% 46.58/46.82  (step @p808 :rule refl :args (@t106))
% 46.58/46.82  (step @p809 :rule nary_cong :premises (@p549 @p548 @p808 @p807) :args (@t107))
% 46.58/46.82  (step @p810 :rule cong :premises (@p809) :args (@t109))
% 46.58/46.82  (step @p811 :rule trans :premises (@p810 @p762))
% 46.58/46.82  (step @p812 :rule nary_cong :premises (@p811 @p710 @p552) :args (@t110))
% 46.58/46.82  (step @p813 :rule refl :args (@t75))
% 46.58/46.82  (step @p814 :rule cong :premises (@p813 @p812) :args (@t111))
% 46.58/46.82  (step @p815 :rule cong :premises (@p814) :args (@t113))
% 46.58/46.82  (step @p816 :rule trans :premises (@p815 @p41))
% 46.58/46.82  (step @p817 :rule eq_resolve :premises (@p24 @p816))
% 46.58/46.82  (step @p818 :rule refl :args (@t484))
% 46.58/46.82  (step @p819 :rule refl :args (@t486))
% 46.58/46.82  (step @p820 :rule aci_norm :args ((= (and true @t487) @t487)))
% 46.58/46.82  (step @p821 :rule refl :args (@t487))
% 46.58/46.82  (step @p822 :rule eq-refl :args (@t105))
% 46.58/46.82  (step @p823 :rule nary_cong :premises (@p822 @p821) :args (@t488))
% 46.58/46.82  (step @p824 :rule trans :premises (@p823 @p820))
% 46.58/46.82  (step @p825 :rule nary_cong :premises (@p824 @p819 @p818) :args (@t489))
% 46.58/46.82  (step @p826 :rule refl :args (@t483))
% 46.58/46.82  (step @p827 :rule cong :premises (@p826 @p825) :args (@t490))
% 46.58/46.82  (step @p828 :rule refl :args (@t491))
% 46.58/46.82  (step @p829 :rule cong :premises (@p828 @p827) :args ((=> @t491 @t490)))
% 46.58/46.82  (assume-push @p998 @t491)
% 46.58/46.82  (step @p831 :rule instantiate :premises (@p817) :args ((@list @t480 @t479 @t105)))
% 46.58/46.82  (step-pop @p999 :rule scope :premises (@p831))
% 46.58/46.82  (step @p832 :rule process_scope :premises (@p999) :args (@t490))
% 46.58/46.82  (step @p834 :rule eq_resolve :premises (@p832 @p829))
% 46.58/46.82  (step @p835 :rule implies_elim :premises (@p834))
% 46.58/46.82  (step @p836 :rule chain_m_resolution :premises (@p835 @p817) :args (@t493 @t494 (@list @t491)))
% 46.58/46.82  (step @p837 :rule bool-impl-elim :args (@t114 @t27))
% 46.58/46.82  (step @p838 :rule cong :premises (@p837) :args (@t115))
% 46.58/46.82  (step @p839 :rule cong :premises (@p838) :args (@t116))
% 46.58/46.82  (step @p840 :rule eq_resolve :premises (@p25 @p839))
% 46.58/46.82  (step @p841 :rule skolemize :premises (@p840))
% 46.58/46.82  (step @p842 :rule bool-double-not-elim :args (@t483))
% 46.58/46.82  (step @p843 :rule refl :args (@t497))
% 46.58/46.82  (step @p844 :rule nary_cong :premises (@p843 @p842) :args ((or @t497 (not @t496))))
% 46.58/46.82  (step @p845 :rule cnf_or_neg :args (@t497 0))
% 46.58/46.82  (step @p846 :rule eq_resolve :premises (@p845 @p844))
% 46.58/46.82  (step @p847 :rule reordering :premises (@p846) :args ((or @t483 @t497)))
% 46.58/46.82  (step @p848 :rule chain_m_resolution :premises (@p847 @p841) :args (@t483 @t498 @t499))
% 46.58/46.82  (step @p849 :rule cnf_equiv_pos1 :args (@t493))
% 46.58/46.82  (step @p850 :rule reordering :premises (@p849) :args ((or @t496 @t492 (not @t493))))
% 46.58/46.82  (step @p851 :rule chain_m_resolution :premises (@p850 @p848 @p836) :args (@t492 @t500 (@list @t483 @t493)))
% 46.58/46.82  (step @p852 :rule bool-impl-elim :args (@t33 @t27))
% 46.58/46.82  (step @p853 :rule cong :premises (@p852) :args (@t34))
% 46.58/46.82  (step @p854 :rule eq_resolve :premises (@p18 @p853))
% 46.58/46.82  (step @p855 :rule instantiate :premises (@p854) :args ((@list @t480 @t479 @t502)))
% 46.58/46.82  (step @p856 :rule cnf_or_neg :args (@t497 1))
% 46.58/46.82  (step @p857 :rule chain_m_resolution :premises (@p856 @p841) :args ((not @t495) @t498 @t499))
% 46.58/46.82  (step @p858 :rule cnf_or_pos :args (@t505))
% 46.58/46.82  (step @p859 :rule reordering :premises (@p858) :args ((or @t495 @t504 (not @t505))))
% 46.58/46.82  (step @p860 :rule chain_m_resolution :premises (@p859 @p857 @p855) :args (@t504 @t506 (@list @t495 @t505)))
% 46.58/46.82  (step @p861 :rule bool-double-not-elim :args (@t503))
% 46.58/46.82  (step @p862 :rule refl :args (@t507))
% 46.58/46.82  (step @p863 :rule nary_cong :premises (@p862 @p861) :args ((or @t507 (not @t504))))
% 46.58/46.82  (step @p864 :rule cnf_or_neg :args (@t507 0))
% 46.58/46.82  (step @p865 :rule eq_resolve :premises (@p864 @p863))
% 46.58/46.82  (step @p866 :rule reordering :premises (@p865) :args ((or @t503 @t507)))
% 46.58/46.82  (step @p867 :rule chain_m_resolution :premises (@p866 @p860) :args (@t507 @t498 (@list @t503)))
% 46.58/46.82  (step @p868 :rule refl :args (@t508))
% 46.58/46.82  (step @p869 :rule bool-double-not-elim :args (@t485))
% 46.58/46.82  (step @p870 :rule nary_cong :premises (@p869 @p868) :args ((or (not @t486) @t508)))
% 46.58/46.82  (assume-push @p1000 @t486)
% 46.58/46.82  (step @p872 :rule skolemize :premises (@p1000))
% 46.58/46.82  (step-pop @p1001 :rule scope :premises (@p872))
% 46.58/46.82  (step @p873 :rule process_scope :premises (@p1001) :args (@t508))
% 46.58/46.82  (step @p875 :rule implies_elim :premises (@p873))
% 46.58/46.82  (step @p876 :rule eq_resolve :premises (@p875 @p870))
% 46.58/46.82  (step @p877 :rule chain_m_resolution :premises (@p876 @p867) :args (@t485 @t494 (@list @t507)))
% 46.58/46.82  (step @p878 :rule bool-impl-elim :args (@t29 @t27))
% 46.58/46.82  (step @p879 :rule cong :premises (@p878) :args (@t31))
% 46.58/46.82  (step @p880 :rule eq_resolve :premises (@p17 @p879))
% 46.58/46.82  (step @p881 :rule instantiate :premises (@p880) :args ((@list @t480 @t479)))
% 46.58/46.82  (step @p882 :rule cnf_or_pos :args (@t510))
% 46.58/46.82  (step @p883 :rule reordering :premises (@p882) :args ((or @t495 @t509 (not @t510))))
% 46.58/46.82  (step @p884 :rule chain_m_resolution :premises (@p883 @p857 @p881) :args (@t509 @t506 (@list @t495 @t510)))
% 46.58/46.82  (step @p885 :rule cnf_or_pos :args (@t492))
% 46.58/46.82  (step @p886 :rule reordering :premises (@p885) :args ((or @t487 @t486 @t484 (not @t492))))
% 46.58/46.82  (step @p887 :rule chain_m_resolution :premises (@p886 @p884 @p877 @p851) :args (@t484 (@list true false false) (@list @t487 @t485 @t492)))
% 46.58/46.82  (step @p888 :rule cnf_and_pos :args (@t484 1))
% 46.58/46.82  (step @p889 :rule reordering :premises (@p888) :args ((or @t482 (not @t484))))
% 46.58/46.82  (step @p890 :rule chain_m_resolution :premises (@p889 @p887) :args (@t482 @t494 (@list @t484)))
% 46.58/46.82  (step @p891 :rule refl :args (@t524))
% 46.58/46.82  (step @p892 :rule bool-double-not-elim :args (@t481))
% 46.58/46.82  (step @p893 :rule nary_cong :premises (@p892 @p891) :args ((or (not @t482) @t524)))
% 46.58/46.82  (assume-push @p1002 @t482)
% 46.58/46.82  (step @p895 :rule skolemize :premises (@p1002))
% 46.58/46.82  (step-pop @p1003 :rule scope :premises (@p895))
% 46.58/46.82  (step @p896 :rule process_scope :premises (@p1003) :args (@t524))
% 46.58/46.82  (step @p898 :rule implies_elim :premises (@p896))
% 46.58/46.82  (step @p899 :rule eq_resolve :premises (@p898 @p893))
% 46.58/46.82  (step @p900 :rule chain_m_resolution :premises (@p899 @p890) :args (@t524 @t498 (@list @t481)))
% 46.58/46.82  (step @p901 :rule bool-double-not-elim :args (@t513))
% 46.58/46.82  (step @p902 :rule refl :args (@t523))
% 46.58/46.82  (step @p903 :rule nary_cong :premises (@p902 @p901) :args ((or @t523 (not @t514))))
% 46.58/46.82  (step @p904 :rule cnf_or_neg :args (@t523 3))
% 46.58/46.82  (step @p905 :rule eq_resolve :premises (@p904 @p903))
% 46.58/46.82  (step @p906 :rule reordering :premises (@p905) :args ((or @t513 @t523)))
% 46.58/46.82  (step @p907 :rule chain_m_resolution :premises (@p906 @p900) :args (@t513 @t498 @t525))
% 46.58/46.82  (step @p908 :rule arith_poly_norm :args ((= (* 1 (- 0 @t520)) (* -1 (- @t516 -1)))))
% 46.58/46.82  (step @p909 :rule arith_poly_norm_rel :premises (@p908) :args ((= @t527 @t526)))
% 46.58/46.82  (step @p910 :rule refl :args (@t521))
% 46.58/46.82  (step @p911 :rule cong :premises (@p910 @p909) :args (@t528))
% 46.58/46.82  (step @p912 :rule refl :args (@t14))
% 46.58/46.82  (step @p913 :rule cong :premises (@p912 @p911) :args ((=> @t14 @t528)))
% 46.58/46.82  (assume-push @p1004 @t14)
% 46.58/46.82  (step @p915 :rule instantiate :premises (@p4) :args ((@list 0 @t520)))
% 46.58/46.82  (step-pop @p1005 :rule scope :premises (@p915))
% 46.58/46.82  (step @p916 :rule process_scope :premises (@p1005) :args (@t528))
% 46.58/46.82  (step @p918 :rule eq_resolve :premises (@p916 @p913))
% 46.58/46.82  (step @p919 :rule implies_elim :premises (@p918))
% 46.58/46.82  (step @p920 :rule chain_m_resolution :premises (@p919 @p4) :args (@t529 @t494 @t530))
% 46.58/46.82  (step @p921 :rule bool-double-not-elim :args (@t521))
% 46.58/46.82  (step @p922 :rule nary_cong :premises (@p902 @p921) :args ((or @t523 (not @t522))))
% 46.58/46.82  (step @p923 :rule cnf_or_neg :args (@t523 1))
% 46.58/46.82  (step @p924 :rule eq_resolve :premises (@p923 @p922))
% 46.58/46.82  (step @p925 :rule reordering :premises (@p924) :args ((or @t521 @t523)))
% 46.58/46.82  (step @p926 :rule chain_m_resolution :premises (@p925 @p900) :args (@t521 @t498 @t525))
% 46.58/46.82  (step @p927 :rule cnf_equiv_pos1 :args (@t529))
% 46.58/46.82  (step @p928 :rule reordering :premises (@p927) :args ((or @t522 @t526 (not @t529))))
% 46.58/46.82  (step @p929 :rule chain_m_resolution :premises (@p928 @p926 @p920) :args (@t526 @t500 (@list @t521 @t529)))
% 46.58/46.82  (step @p930 :rule arith_poly_norm :args ((= (* 1 (- @t511 @t516)) (* -1 (- @t516 @t511)))))
% 46.58/46.82  (step @p931 :rule arith_poly_norm_rel :premises (@p930) :args ((= @t532 @t531)))
% 46.58/46.82  (step @p932 :rule eq-symm :args (@t515 @t517))
% 46.58/46.82  (step @p933 :rule cong :premises (@p932 @p931) :args (@t533))
% 46.58/46.82  (step @p934 :rule cong :premises (@p912 @p933) :args ((=> @t14 @t533)))
% 46.58/46.82  (assume-push @p1006 @t14)
% 46.58/46.82  (step @p936 :rule instantiate :premises (@p4) :args ((@list @t511 @t516)))
% 46.58/46.82  (step-pop @p1007 :rule scope :premises (@p936))
% 46.58/46.82  (step @p937 :rule process_scope :premises (@p1007) :args (@t533))
% 46.58/46.82  (step @p939 :rule eq_resolve :premises (@p937 @p934))
% 46.58/46.82  (step @p940 :rule implies_elim :premises (@p939))
% 46.58/46.82  (step @p941 :rule chain_m_resolution :premises (@p940 @p4) :args (@t534 @t494 @t530))
% 46.58/46.82  (step @p942 :rule bool-double-not-elim :args (@t518))
% 46.58/46.82  (step @p943 :rule nary_cong :premises (@p902 @p942) :args ((or @t523 (not @t519))))
% 46.58/46.82  (step @p944 :rule cnf_or_neg :args (@t523 2))
% 46.58/46.82  (step @p945 :rule eq_resolve :premises (@p944 @p943))
% 46.58/46.82  (step @p946 :rule reordering :premises (@p945) :args ((or @t518 @t523)))
% 46.58/46.82  (step @p947 :rule chain_m_resolution :premises (@p946 @p900) :args (@t518 @t498 @t525))
% 46.58/46.82  (step @p948 :rule cnf_equiv_pos1 :args (@t534))
% 46.58/46.82  (step @p949 :rule reordering :premises (@p948) :args ((or @t519 @t531 (not @t534))))
% 46.58/46.82  (step @p950 :rule chain_m_resolution :premises (@p949 @p947 @p941) :args (@t531 @t500 (@list @t518 @t534)))
% 46.58/46.82  (assume-push @p1008 @t535)
% 46.58/46.82  (assume-push @p1009 @t513)
% 46.58/46.82  (assume-push @p1010 (= @t511 -1))
% 46.58/46.82  (step @p954 :rule evaluate :args ((<= 0 -1)))
% 46.58/46.82  (step @p955 :rule evaluate :args ((+ -1 0)))
% 46.58/46.82  (step @p956 :rule evaluate :args (@t536))
% 46.58/46.82  (step @p957 :rule refl :args (-1))
% 46.58/46.82  (step @p958 :rule nary_cong :premises (@p957 @p956) :args (@t537))
% 46.58/46.82  (step @p959 :rule trans :premises (@p958 @p955))
% 46.58/46.82  (step @p960 :rule arith_poly_norm :args ((= @t538 0)))
% 46.58/46.82  (step @p961 :rule cong :premises (@p960 @p959) :args ((<= @t538 @t537)))
% 46.58/46.82  (step @p962 :rule trans :premises (@p961 @p954))
% 46.58/46.82  (step @p963 :rule arith_mult_neg :args (-1 @t513))
% 46.58/46.82  (step @p964 :rule evaluate :args ((< -1 0)))
% 46.58/46.82  (step @p965 :rule true_elim :premises (@p964))
% 46.58/46.82  (step @p966 :rule and_intro :premises (@p965 @p1009))
% 46.58/46.82  (step @p967 :rule modus_ponens :premises (@p966 @p963))
% 46.58/46.82  (step @p968 :rule arith_sum_ub :premises (@p1010 @p967))
% 46.58/46.82  (step @p969 false :rule eq_resolve :premises (@p968 @p962))
% 46.58/46.82  (step-pop @p1011 :rule scope :premises (@p969))
% 46.58/46.82  (step @p970 :rule process_scope :premises (@p1011) :args (false))
% 46.58/46.82  (step @p972 :rule symm :premises (@p1008))
% 46.58/46.82  (step @p973 false :rule contra :premises (@p972 @p970))
% 46.58/46.82  (step-pop @p1012 :rule scope :premises (@p973))
% 46.58/46.82  (step-pop @p1013 :rule scope :premises (@p1012))
% 46.58/46.82  (step @p974 :rule process_scope :premises (@p1013) :args (false))
% 46.58/46.82  (assume-push @p1014 @t513)
% 46.58/46.82  (assume-push @p1015 @t526)
% 46.58/46.82  (assume-push @p1016 @t531)
% 46.58/46.82  (assume-push @p1017 @t531)
% 46.58/46.82  (assume-push @p1018 @t526)
% 46.58/46.82  (step @p982 :rule symm :premises (@p1015))
% 46.58/46.82  (step @p983 :rule trans :premises (@p982 @p1016))
% 46.58/46.82  (step-pop @p1019 :rule scope :premises (@p983))
% 46.58/46.82  (step-pop @p1020 :rule scope :premises (@p1019))
% 46.58/46.82  (step @p984 :rule process_scope :premises (@p1020) :args (@t535))
% 46.58/46.82  (step @p987 :rule and_intro :premises (@p1016 @p1015))
% 46.58/46.82  (step @p988 :rule modus_ponens :premises (@p987 @p984))
% 46.58/46.82  (step @p989 :rule and_intro :premises (@p988 @p1014))
% 46.58/46.82  (step-pop @p1021 :rule scope :premises (@p989))
% 46.58/46.82  (step-pop @p1022 :rule scope :premises (@p1021))
% 46.58/46.82  (step-pop @p1023 :rule scope :premises (@p1022))
% 46.58/46.82  (step @p990 :rule process_scope :premises (@p1023) :args (@t539))
% 46.58/46.82  (step @p994 :rule implies_elim :premises (@p990))
% 46.58/46.82  (step @p995 :rule resolution :premises (@p994 @p974) :args (true @t539))
% 46.58/46.82  (step @p996 :rule not_and :premises (@p995))
% 46.58/46.82  (step @p997 false :rule chain_m_resolution :premises (@p996 @p950 @p929 @p907) :args (false (@list false false false) (@list @t531 @t526 @t513)))
% 46.58/46.82  )
% 46.58/46.82  % SZS output end Proof
% 46.58/46.82  % cvc5 exiting
%------------------------------------------------------------------------------