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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI697_1 : TPTP v9.2.1. Released v6.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:08:09 AM UTC 2026

% Result   : Theorem 0.40s 0.62s
% Output   : Proof 0.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI697_1 : TPTP v9.2.1. Released v6.3.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n027.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 : Wed Jun  3 02:31:51 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.31/0.49  %----Proving TF0_ARI
% 0.40/0.62  --- Run --finite-model-find --decision=internal at 45...
% 0.40/0.62  % SZS status Theorem
% 0.40/0.62  % SZS output start Proof
% 0.40/0.62  (
% 0.40/0.62  (declare-const tptp.x2 Int)
% 0.40/0.62  (declare-const tptp.x1 Int)
% 0.40/0.62  (declare-const tptp.x3 Int)
% 0.40/0.62  (declare-const tptp.x4 Int)
% 0.40/0.62  (declare-const tptp.x5 Int)
% 0.40/0.62  (define @t1 () (* 5 tptp.x1))
% 0.40/0.62  (define @t2 () (* 2 tptp.x2))
% 0.40/0.62  (define @t3 () (- 1))
% 0.40/0.62  (define @t4 () (* @t3 @t2))
% 0.40/0.62  (define @t5 () (- @t4 @t1))
% 0.40/0.62  (define @t6 () (+ @t5 tptp.x3))
% 0.40/0.62  (define @t7 () (- @t6 tptp.x4))
% 0.40/0.62  (define @t8 () (+ @t7 tptp.x5))
% 0.40/0.62  (define @t9 () (= @t8 0))
% 0.40/0.62  (define @t10 () (* 101 tptp.x5))
% 0.40/0.62  (define @t11 () (* 3 tptp.x4))
% 0.40/0.62  (define @t12 () (* @t3 @t11))
% 0.40/0.62  (define @t13 () (* 5 tptp.x3))
% 0.40/0.62  (define @t14 () (* @t3 @t13))
% 0.40/0.62  (define @t15 () (* 62 tptp.x2))
% 0.40/0.62  (define @t16 () (* 9 tptp.x1))
% 0.40/0.62  (define @t17 () (+ (+ (+ (+ @t16 @t15) @t14) @t12) @t10))
% 0.40/0.62  (define @t18 () (= @t17 0))
% 0.40/0.62  (define @t19 () (* 98 tptp.x5))
% 0.40/0.62  (define @t20 () (* @t3 @t19))
% 0.40/0.62  (define @t21 () (* 67 tptp.x4))
% 0.40/0.62  (define @t22 () (* 11 tptp.x3))
% 0.40/0.62  (define @t23 () (* @t3 @t22))
% 0.40/0.62  (define @t24 () (* 34 tptp.x2))
% 0.40/0.62  (define @t25 () (* @t3 @t24))
% 0.40/0.62  (define @t26 () (* 56 tptp.x1))
% 0.40/0.62  (define @t27 () (+ (+ (+ (+ @t26 @t25) @t23) @t21) @t20))
% 0.40/0.62  (define @t28 () (= @t27 0))
% 0.40/0.62  (define @t29 () (to_real 2))
% 0.40/0.62  (define @t30 () (to_real tptp.x5))
% 0.40/0.62  (define @t31 () (/ @t30 @t29))
% 0.40/0.62  (define @t32 () (- @t31))
% 0.40/0.62  (define @t33 () (to_int @t32))
% 0.40/0.62  (define @t34 () (- @t33))
% 0.40/0.62  (define @t35 () (to_int @t31))
% 0.40/0.62  (define @t36 () (>= @t31 0/1))
% 0.40/0.62  (define @t37 () (ite @t36 @t35 @t34))
% 0.40/0.62  (define @t38 () (to_real @t37))
% 0.40/0.62  (define @t39 () (* @t38 @t29))
% 0.40/0.62  (define @t40 () (- @t30 @t39))
% 0.40/0.62  (define @t41 () (to_int @t40))
% 0.40/0.62  (define @t42 () (= @t41 0))
% 0.40/0.62  (define @t43 () (not @t42))
% 0.40/0.62  (define @t44 () (* -1/2 @t30))
% 0.40/0.62  (define @t45 () (to_int @t44))
% 0.40/0.62  (define @t46 () (@purify @t45))
% 0.40/0.62  (define @t47 () (* 2 @t46))
% 0.40/0.62  (define @t48 () (+ tptp.x5 @t47))
% 0.40/0.62  (define @t49 () (>= @t48 -1))
% 0.40/0.62  (define @t50 () (* -1 @t46))
% 0.40/0.62  (define @t51 () (to_real @t50))
% 0.40/0.62  (define @t52 () (+ @t44 @t51))
% 0.40/0.62  (define @t53 () (+ @t48 1))
% 0.40/0.62  (define @t54 () (to_real @t46))
% 0.40/0.62  (define @t55 () (* -1/1 @t54))
% 0.40/0.62  (define @t56 () (+ @t44 @t55))
% 0.40/0.62  (define @t57 () (- @t44 @t54))
% 0.40/0.62  (define @t58 () (>= @t57 1/1))
% 0.40/0.62  (define @t59 () (<= 0/1 @t57))
% 0.40/0.62  (define @t60 () (* -1 tptp.x5))
% 0.40/0.62  (define @t61 () (+ @t1 @t2 tptp.x4 @t60))
% 0.40/0.62  (define @t62 () (- tptp.x3 @t61))
% 0.40/0.62  (define @t63 () (* -1 tptp.x4))
% 0.40/0.62  (define @t64 () (* -2 tptp.x2))
% 0.40/0.62  (define @t65 () (* -5 tptp.x1))
% 0.40/0.62  (define @t66 () (+ @t65 @t64 tptp.x3 @t63 tptp.x5))
% 0.40/0.62  (define @t67 () (= tptp.x3 @t61))
% 0.40/0.62  (define @t68 () (+ @t65 @t64 tptp.x3 @t63))
% 0.40/0.62  (define @t69 () (+ @t65 @t64))
% 0.40/0.62  (define @t70 () (* -1 @t1))
% 0.40/0.62  (define @t71 () (+ @t4 @t70))
% 0.40/0.62  (define @t72 () (+ @t63 @t5 tptp.x3))
% 0.40/0.62  (define @t73 () (+ @t6 @t63))
% 0.40/0.62  (define @t74 () (* -5 tptp.x3))
% 0.40/0.62  (define @t75 () (+ @t16 @t15 @t74 @t10))
% 0.40/0.62  (define @t76 () (* -3 tptp.x4))
% 0.40/0.62  (define @t77 () (+ @t16 @t15 @t74 @t76 @t10))
% 0.40/0.62  (define @t78 () (= @t11 @t75))
% 0.40/0.62  (define @t79 () (= @t77 0))
% 0.40/0.62  (define @t80 () (+ @t10 @t12 @t14 @t15 @t16))
% 0.40/0.62  (define @t81 () (* -98 tptp.x5))
% 0.40/0.62  (define @t82 () (* -34 tptp.x2))
% 0.40/0.62  (define @t83 () (+ @t26 @t82 @t21 @t81))
% 0.40/0.62  (define @t84 () (* -11 tptp.x3))
% 0.40/0.62  (define @t85 () (+ @t26 @t82 @t84 @t21 @t81))
% 0.40/0.62  (define @t86 () (= @t22 @t83))
% 0.40/0.62  (define @t87 () (= @t85 0))
% 0.40/0.62  (define @t88 () (+ @t20 @t21 @t23 @t25 @t26))
% 0.40/0.62  (define @t89 () (+ (* 1477 tptp.x2) (* -1554 tptp.x4) (* 2250 tptp.x5) @t50))
% 0.40/0.62  (define @t90 () (>= @t89 1))
% 0.40/0.62  (define @t91 () (to_real -2))
% 0.40/0.62  (define @t92 () (* -2 1))
% 0.40/0.62  (define @t93 () (to_real @t92))
% 0.40/0.62  (define @t94 () (to_real 0))
% 0.40/0.62  (define @t95 () (* -56 0))
% 0.40/0.62  (define @t96 () (to_real @t95))
% 0.40/0.62  (define @t97 () (* -7/2 0/1))
% 0.40/0.62  (define @t98 () (* 1267/2 0/1))
% 0.40/0.62  (define @t99 () (* -1 -1))
% 0.40/0.62  (define @t100 () (to_real @t99))
% 0.40/0.62  (define @t101 () (+ @t100 @t98 @t97 @t96 @t93))
% 0.40/0.62  (define @t102 () (+ (* -2954 tptp.x2) (* 3108 tptp.x4) (* -4500 tptp.x5) @t47))
% 0.40/0.62  (define @t103 () (+ (* -3136 tptp.x1) (* 1904 tptp.x2) (* 616 tptp.x3) (* -3752 tptp.x4) (* 5488 tptp.x5)))
% 0.40/0.62  (define @t104 () (to_real tptp.x4))
% 0.40/0.62  (define @t105 () (to_real tptp.x3))
% 0.40/0.62  (define @t106 () (to_real tptp.x1))
% 0.40/0.62  (define @t107 () (+ (* -63/2 @t106) (to_real (* -217 tptp.x2)) (* 35/2 @t105) (* 21/2 @t104) (* -707/2 @t30)))
% 0.40/0.62  (define @t108 () (+ (* 6335/2 @t106) (to_real (* 1267 tptp.x2)) (* -1267/2 @t105) (* 1267/2 @t104) (* -1267/2 @t30)))
% 0.40/0.62  (define @t109 () (* -2 @t46))
% 0.40/0.62  (define @t110 () (+ @t60 @t109))
% 0.40/0.62  (define @t111 () (* -2 @t89))
% 0.40/0.62  (define @t112 () (to_real @t111))
% 0.40/0.62  (define @t113 () (* -56 @t85))
% 0.40/0.62  (define @t114 () (to_real @t113))
% 0.40/0.62  (define @t115 () (to_real @t77))
% 0.40/0.62  (define @t116 () (* -7/2 @t115))
% 0.40/0.62  (define @t117 () (+ @t1 @t2 (* -1 tptp.x3) tptp.x4 @t60))
% 0.40/0.62  (define @t118 () (to_real @t117))
% 0.40/0.62  (define @t119 () (* 1267/2 @t118))
% 0.40/0.62  (define @t120 () (* -1 @t48))
% 0.40/0.62  (define @t121 () (to_real @t120))
% 0.40/0.62  (define @t122 () (+ @t121 @t119 @t116 @t114 @t112))
% 0.40/0.62  (define @t123 () (< -2 0))
% 0.40/0.62  (define @t124 () (< -7/2 0/1))
% 0.40/0.62  (define @t125 () (= @t115 0/1))
% 0.40/0.62  (define @t126 () (> 1267/2 0/1))
% 0.40/0.62  (define @t127 () (= @t117 0))
% 0.40/0.62  (define @t128 () (= @t118 0/1))
% 0.40/0.62  (define @t129 () (= (* -5 (- @t117 0)) (* 5 @t62)))
% 0.40/0.62  (define @t130 () (= @t127 @t67))
% 0.40/0.62  (define @t131 () (< -1 0))
% 0.40/0.62  (define @t132 () (and @t90 @t86 @t78 @t67 @t49))
% 0.40/0.62  (define @t133 () (not @t90))
% 0.40/0.62  (define @t134 () (not @t86))
% 0.40/0.62  (define @t135 () (not @t78))
% 0.40/0.62  (define @t136 () (not @t67))
% 0.40/0.62  (define @t137 () (* -1 @t45))
% 0.40/0.62  (define @t138 () (* 1/2 @t30))
% 0.40/0.62  (define @t139 () (to_int @t138))
% 0.40/0.62  (define @t140 () (>= tptp.x5 0))
% 0.40/0.62  (define @t141 () (ite @t140 @t139 @t137))
% 0.40/0.62  (define @t142 () (@purify @t141))
% 0.40/0.62  (define @t143 () (* -2 @t142))
% 0.40/0.62  (define @t144 () (+ tptp.x5 @t143))
% 0.40/0.62  (define @t145 () (>= @t144 0))
% 0.40/0.62  (define @t146 () (= @t142 @t50))
% 0.40/0.62  (define @t147 () (not @t146))
% 0.40/0.62  (define @t148 () (not @t133))
% 0.40/0.62  (define @t149 () (not @t145))
% 0.40/0.62  (define @t150 () (not @t149))
% 0.40/0.62  (define @t151 () (< @t144 0))
% 0.40/0.62  (define @t152 () (not true))
% 0.40/0.62  (define @t153 () (>= 0/1 0/1))
% 0.40/0.62  (define @t154 () (* 2 0))
% 0.40/0.62  (define @t155 () (to_real @t154))
% 0.40/0.62  (define @t156 () (* 56 0))
% 0.40/0.62  (define @t157 () (to_real @t156))
% 0.40/0.62  (define @t158 () (* -1267/2 0/1))
% 0.40/0.62  (define @t159 () (* 7/2 0/1))
% 0.40/0.62  (define @t160 () (+ 0/1 @t159 @t158 @t157 @t155 @t155))
% 0.40/0.62  (define @t161 () (* -1267/2 @t104))
% 0.40/0.62  (define @t162 () (to_real (* -1267 tptp.x2)))
% 0.40/0.62  (define @t163 () (* -6335/2 @t106))
% 0.40/0.62  (define @t164 () (* 63/2 @t106))
% 0.40/0.62  (define @t165 () (to_real (* 217 tptp.x2)))
% 0.40/0.62  (define @t166 () (* 707/2 @t30))
% 0.40/0.62  (define @t167 () (to_real (* 3136 tptp.x1)))
% 0.40/0.62  (define @t168 () (to_real (* 3752 tptp.x4)))
% 0.40/0.62  (define @t169 () (* 1267/2 @t30))
% 0.40/0.62  (define @t170 () (* -21/2 @t104))
% 0.40/0.62  (define @t171 () (* -35/2 @t105))
% 0.40/0.62  (define @t172 () (to_real (* -5488 tptp.x5)))
% 0.40/0.62  (define @t173 () (to_real (* -616 tptp.x3)))
% 0.40/0.62  (define @t174 () (to_real (* -1904 tptp.x2)))
% 0.40/0.62  (define @t175 () (* 2 @t142))
% 0.40/0.62  (define @t176 () (to_real @t47))
% 0.40/0.62  (define @t177 () (to_real @t109))
% 0.40/0.62  (define @t178 () (* 1267/2 @t105))
% 0.40/0.62  (define @t179 () (to_real (* 2954 tptp.x2)))
% 0.40/0.62  (define @t180 () (to_real (* -3108 tptp.x4)))
% 0.40/0.62  (define @t181 () (to_real (* 4500 tptp.x5)))
% 0.40/0.62  (define @t182 () (+ @t181 @t180 @t179 (to_real @t143) @t178 @t177 @t176 (to_real @t175) @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t30 @t161))
% 0.40/0.62  (define @t183 () (* 2 @t89))
% 0.40/0.62  (define @t184 () (to_real @t183))
% 0.40/0.62  (define @t185 () (+ @t142 @t46))
% 0.40/0.62  (define @t186 () (* 2 @t185))
% 0.40/0.62  (define @t187 () (to_real @t186))
% 0.40/0.62  (define @t188 () (to_real (* 56 @t85)))
% 0.40/0.62  (define @t189 () (* -1267/2 @t118))
% 0.40/0.62  (define @t190 () (* 7/2 @t115))
% 0.40/0.62  (define @t191 () (to_real @t144))
% 0.40/0.62  (define @t192 () (+ @t191 @t190 @t189 @t188 @t187 @t184))
% 0.40/0.62  (define @t193 () (>= @t192 @t160))
% 0.40/0.62  (define @t194 () (= (* 2954/1 (to_real (- @t183 @t154))) (* 2954/1 (- @t184 @t155))))
% 0.40/0.62  (define @t195 () (= (<= @t183 @t154) (<= @t184 @t155)))
% 0.40/0.62  (define @t196 () (<= @t89 0))
% 0.40/0.62  (define @t197 () (> 2 0))
% 0.40/0.62  (define @t198 () (= @t185 0))
% 0.40/0.62  (define @t199 () (= (* 1 (- @t185 0)) (* 1 (- @t142 @t50))))
% 0.40/0.62  (define @t200 () (= @t198 @t146))
% 0.40/0.62  (define @t201 () (> 56 0))
% 0.40/0.62  (define @t202 () (< -1267/2 0/1))
% 0.40/0.62  (define @t203 () (= @t189 @t158))
% 0.40/0.62  (define @t204 () (> 7/2 0/1))
% 0.40/0.62  (define @t205 () (= @t190 @t159))
% 0.40/0.62  (define @t206 () (< @t191 @t94))
% 0.40/0.62  (define @t207 () (- @t144 0))
% 0.40/0.62  (define @t208 () (= (* 1/1 (to_real @t207)) (* 1/1 (- @t191 @t94))))
% 0.40/0.62  (define @t209 () (= @t151 @t206))
% 0.40/0.62  (define @t210 () (and @t133 @t146 @t86 @t67 @t78 @t149))
% 0.40/0.62  (define @t211 () (= @t142 @t137))
% 0.40/0.62  (define @t212 () (= @t142 @t139))
% 0.40/0.62  (define @t213 () (= @t142 @t141))
% 0.40/0.62  (define @t214 () (= @t141 @t137))
% 0.40/0.62  (define @t215 () (= @t141 @t139))
% 0.40/0.62  (define @t216 () (@purify @t139))
% 0.40/0.62  (define @t217 () (= @t142 @t216))
% 0.40/0.62  (define @t218 () (* -2 @t216))
% 0.40/0.62  (define @t219 () (+ tptp.x5 @t218))
% 0.40/0.62  (define @t220 () (to_real (- @t219 2)))
% 0.40/0.62  (define @t221 () (* -1 @t216))
% 0.40/0.62  (define @t222 () (to_real @t221))
% 0.40/0.62  (define @t223 () (+ @t138 @t222))
% 0.40/0.62  (define @t224 () (>= @t219 2))
% 0.40/0.62  (define @t225 () (to_real @t216))
% 0.40/0.62  (define @t226 () (* -1/1 @t225))
% 0.40/0.62  (define @t227 () (+ @t138 @t226))
% 0.40/0.62  (define @t228 () (- @t138 @t225))
% 0.40/0.62  (define @t229 () (>= @t228 1/1))
% 0.40/0.62  (define @t230 () (to_real (- @t219 0)))
% 0.40/0.62  (define @t231 () (>= @t219 0))
% 0.40/0.62  (define @t232 () (<= 0/1 @t228))
% 0.40/0.62  (define @t233 () (not @t231))
% 0.40/0.62  (define @t234 () (not @t217))
% 0.40/0.62  (define @t235 () (+ @t142 @t221))
% 0.40/0.62  (define @t236 () (= @t235 0))
% 0.40/0.62  (define @t237 () (* 1/2 0/1))
% 0.40/0.62  (define @t238 () (* -1/2 0/1))
% 0.40/0.62  (define @t239 () (+ 0/1 @t238 @t237))
% 0.40/0.62  (define @t240 () (* -1 @t142))
% 0.40/0.62  (define @t241 () (* 0 tptp.x5))
% 0.40/0.62  (define @t242 () (= @t241 0))
% 0.40/0.62  (define @t243 () (+ @t240 @t216 @t221 @t142 @t241))
% 0.40/0.62  (define @t244 () (to_real @t243))
% 0.40/0.62  (define @t245 () (* 1/2 @t191))
% 0.40/0.62  (define @t246 () (to_real @t219))
% 0.40/0.62  (define @t247 () (* -1/2 @t246))
% 0.40/0.62  (define @t248 () (to_real @t235))
% 0.40/0.62  (define @t249 () (+ @t248 @t247 @t245))
% 0.40/0.62  (define @t250 () (>= @t249 @t239))
% 0.40/0.62  (define @t251 () (> 1/2 0/1))
% 0.40/0.62  (define @t252 () (< -1/2 0/1))
% 0.40/0.62  (define @t253 () (>= @t246 @t94))
% 0.40/0.62  (define @t254 () (= (* 1 (- @t235 0)) (* 1 (- @t142 @t216))))
% 0.40/0.62  (define @t255 () (= @t236 @t217))
% 0.40/0.62  (define @t256 () (and @t149 @t231 @t217))
% 0.40/0.62  (define @t257 () (* 2 @t141))
% 0.40/0.62  (define @t258 () (= tptp.x5 @t257))
% 0.40/0.62  (define @t259 () (* -2 @t141))
% 0.40/0.62  (define @t260 () (+ tptp.x5 @t259))
% 0.40/0.62  (define @t261 () (to_real @t259))
% 0.40/0.62  (define @t262 () (to_real @t257))
% 0.40/0.62  (define @t263 () (* @t30 1/2))
% 0.40/0.62  (define @t264 () (* -1/1 @t31))
% 0.40/0.62  (define @t265 () (* -1 @t33))
% 0.40/0.62  (define @t266 () (* -1/1 @t39))
% 0.40/0.62  (define @t267 () (+ @t30 @t266))
% 0.40/0.62  (define @t268 () (>= @t144 1))
% 0.40/0.62  (define @t269 () (= tptp.x5 @t175))
% 0.40/0.62  (define @t270 () (not @t269))
% 0.40/0.62  (define @t271 () (= @t144 0))
% 0.40/0.62  (define @t272 () (and @t270 @t145))
% 0.40/0.62  (define @t273 () (>= @t185 1))
% 0.40/0.62  (define @t274 () (not @t273))
% 0.40/0.62  (define @t275 () (not @t224))
% 0.40/0.62  (define @t276 () (< @t219 2))
% 0.40/0.62  (define @t277 () (* -2 0))
% 0.40/0.62  (define @t278 () (to_real @t277))
% 0.40/0.62  (define @t279 () (* 2 -1))
% 0.40/0.62  (define @t280 () (to_real @t279))
% 0.40/0.62  (define @t281 () (+ 2/1 @t157 @t158 @t159 @t155 @t280 @t278))
% 0.40/0.62  (define @t282 () (* 2 @t216))
% 0.40/0.62  (define @t283 () (to_real @t282))
% 0.40/0.62  (define @t284 () (to_real @t218))
% 0.40/0.62  (define @t285 () (* 0 @t142))
% 0.40/0.62  (define @t286 () (= @t285 0))
% 0.40/0.62  (define @t287 () (to_real @t285))
% 0.40/0.62  (define @t288 () (+ @t181 @t180 @t179 @t178 @t284 @t283 @t177 @t176 @t287 @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t30 @t161))
% 0.40/0.62  (define @t289 () (to_real (* -2 @t235)))
% 0.40/0.62  (define @t290 () (+ @t246 @t188 @t189 @t190 @t184 @t187 @t289))
% 0.40/0.62  (define @t291 () (>= @t290 @t281))
% 0.40/0.62  (define @t292 () (< @t246 @t29))
% 0.40/0.62  (define @t293 () (and @t217 @t147 @t274 @t133 @t78 @t67 @t86 @t275))
% 0.40/0.62  (define @t294 () (>= @t48 1))
% 0.40/0.62  (define @t295 () (not @t294))
% 0.40/0.62  (define @t296 () (not @t295))
% 0.40/0.62  (define @t297 () (< @t48 1))
% 0.40/0.62  (define @t298 () (not @t297))
% 0.40/0.62  (define @t299 () (* -1 0))
% 0.40/0.62  (define @t300 () (+ 1 @t299 @t92 @t154))
% 0.40/0.62  (define @t301 () (+ @t282 @t218 @t47 @t109 @t285 @t241))
% 0.40/0.62  (define @t302 () (* -2 @t185))
% 0.40/0.62  (define @t303 () (+ @t48 (* -1 @t219) @t302 (* 2 @t235)))
% 0.40/0.62  (define @t304 () (>= @t303 @t300))
% 0.40/0.62  (define @t305 () (and @t217 @t273 @t231 @t295))
% 0.40/0.62  (define @t306 () (not @t268))
% 0.40/0.62  (define @t307 () (* -1 1))
% 0.40/0.62  (define @t308 () (+ 1 @t277 @t307))
% 0.40/0.62  (define @t309 () (+ @t175 @t47 @t109 @t143 @t241))
% 0.40/0.62  (define @t310 () (+ @t48 @t302 (* -1 @t144)))
% 0.40/0.62  (define @t311 () (>= @t310 @t308))
% 0.40/0.62  (define @t312 () (and @t268 @t146 @t295))
% 0.40/0.62  (assume @p1 @t9)
% 0.40/0.62  (assume @p2 @t18)
% 0.40/0.62  (assume @p3 @t28)
% 0.40/0.62  (assume @p4 @t43)
% 0.40/0.62  (assume @p5 true)
% 0.40/0.62  (step @p6 :rule bool-double-not-elim :args (@t49))
% 0.40/0.62  (step @p7 :rule arith_poly_norm :args ((= (* -1/1 (to_real (- -1 @t53))) (* -2/1 (- @t52 1/1)))))
% 0.40/0.62  (step @p8 :rule arith_poly_norm_rel :premises (@p7) :args ((= (>= -1 @t53) (>= @t52 1/1))))
% 0.40/0.62  (step @p9 :rule arith-geq-tighten :args (@t48 -1))
% 0.40/0.62  (step @p10 :rule trans :premises (@p9 @p8))
% 0.40/0.62  (step @p11 :rule symm :premises (@p10))
% 0.40/0.62  (step @p12 :rule refl :args (1/1))
% 0.40/0.62  (step @p13 :rule arith_poly_norm :args ((= @t55 @t51)))
% 0.40/0.62  (step @p14 :rule refl :args (@t44))
% 0.40/0.62  (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t56))
% 0.40/0.62  (step @p16 :rule arith_poly_norm :args ((= @t57 @t56)))
% 0.40/0.62  (step @p17 :rule trans :premises (@p16 @p15))
% 0.40/0.62  (step @p18 :rule cong :premises (@p17 @p12) :args (@t58))
% 0.40/0.62  (step @p19 :rule trans :premises (@p18 @p11))
% 0.40/0.62  (step @p20 :rule cong :premises (@p19) :args ((not @t58)))
% 0.40/0.62  (step @p21 :rule trans :premises (@p20 @p6))
% 0.40/0.62  (step @p22 :rule arith-elim-lt :args (@t57 1/1))
% 0.40/0.62  (step @p23 :rule trans :premises (@p22 @p21))
% 0.40/0.62  (step @p24 :rule arith_poly_norm :args ((= (* -1/2 (to_real (- 1 @t53))) (* -1/1 (- @t52 0/1)))))
% 0.40/0.62  (step @p25 :rule arith_poly_norm_rel :premises (@p24) :args ((= (>= 1 @t53) (>= @t52 0/1))))
% 0.40/0.62  (step @p26 :rule arith-geq-tighten :args (@t48 1))
% 0.40/0.62  (step @p27 :rule trans :premises (@p26 @p25))
% 0.40/0.62  (step @p28 :rule symm :premises (@p27))
% 0.40/0.62  (step @p29 :rule arith-elim-leq :args (0/1 @t52))
% 0.40/0.62  (step @p30 :rule trans :premises (@p29 @p28))
% 0.40/0.62  (step @p31 :rule refl :args (0/1))
% 0.40/0.62  (step @p32 :rule cong :premises (@p31 @p17) :args (@t59))
% 0.40/0.62  (step @p33 :rule trans :premises (@p32 @p30))
% 0.40/0.62  (step @p34 :rule nary_cong :premises (@p33 @p23) :args ((and @t59 (< @t57 1/1))))
% 0.40/0.62  (step @p35 :rule arith_reduction :args (@t45))
% 0.40/0.62  (step @p36 :rule and_elim :premises (@p35) :args (1))
% 0.40/0.62  (step @p37 :rule eq_resolve :premises (@p36 @p34))
% 0.40/0.62  (step @p38 :rule and_elim :premises (@p37) :args (0))
% 0.40/0.62  (step @p39 :rule arith_poly_norm :args ((= (* -5 (- @t66 0)) (* -5 @t62))))
% 0.40/0.62  (step @p40 :rule arith_poly_norm_rel :premises (@p39) :args ((= (= @t66 0) @t67)))
% 0.40/0.62  (step @p41 :rule refl :args (0))
% 0.40/0.62  (step @p42 :rule arith_poly_norm :args ((= (+ @t68 tptp.x5) @t66)))
% 0.40/0.62  (step @p43 :rule refl :args (tptp.x5))
% 0.40/0.62  (step @p44 :rule arith_poly_norm :args ((= (+ @t63 @t69 tptp.x3) @t68)))
% 0.40/0.62  (step @p45 :rule refl :args (tptp.x3))
% 0.40/0.62  (step @p46 :rule arith_poly_norm :args ((= (+ @t64 @t65) @t69)))
% 0.40/0.62  (step @p47 :rule arith_poly_norm :args ((= @t70 @t65)))
% 0.40/0.62  (step @p48 :rule arith_poly_norm :args ((= (* -1 @t2) @t64)))
% 0.40/0.62  (step @p49 :rule refl :args (@t2))
% 0.40/0.62  (step @p50 :rule evaluate :args (@t3))
% 0.40/0.62  (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t4))
% 0.40/0.62  (step @p52 :rule trans :premises (@p51 @p48))
% 0.40/0.62  (step @p53 :rule nary_cong :premises (@p52 @p47) :args (@t71))
% 0.40/0.62  (step @p54 :rule trans :premises (@p53 @p46))
% 0.40/0.62  (step @p55 :rule arith_poly_norm :args ((= @t5 @t71)))
% 0.40/0.62  (step @p56 :rule trans :premises (@p55 @p54))
% 0.40/0.62  (step @p57 :rule refl :args (@t63))
% 0.40/0.62  (step @p58 :rule nary_cong :premises (@p57 @p56 @p45) :args (@t72))
% 0.40/0.62  (step @p59 :rule trans :premises (@p58 @p44))
% 0.40/0.62  (step @p60 :rule arith_poly_norm :args ((= @t73 @t72)))
% 0.40/0.62  (step @p61 :rule trans :premises (@p60 @p59))
% 0.40/0.62  (step @p62 :rule arith_poly_norm :args ((= @t7 @t73)))
% 0.40/0.62  (step @p63 :rule trans :premises (@p62 @p61))
% 0.40/0.62  (step @p64 :rule nary_cong :premises (@p63 @p43) :args (@t8))
% 0.40/0.62  (step @p65 :rule trans :premises (@p64 @p42))
% 0.40/0.62  (step @p66 :rule cong :premises (@p65 @p41) :args (@t9))
% 0.40/0.62  (step @p67 :rule trans :premises (@p66 @p40))
% 0.40/0.62  (step @p68 :rule eq_resolve :premises (@p1 @p67))
% 0.40/0.62  (step @p69 :rule arith_poly_norm :args ((= (* -9 (- @t77 0)) (* 9 (- @t11 @t75)))))
% 0.40/0.62  (step @p70 :rule arith_poly_norm_rel :premises (@p69) :args ((= @t79 @t78)))
% 0.40/0.62  (step @p71 :rule arith_poly_norm :args ((= (+ @t10 @t76 @t74 @t15 @t16) @t77)))
% 0.40/0.62  (step @p72 :rule refl :args (@t16))
% 0.40/0.62  (step @p73 :rule refl :args (@t15))
% 0.40/0.62  (step @p74 :rule arith_poly_norm :args ((= (* -1 @t13) @t74)))
% 0.40/0.62  (step @p75 :rule refl :args (@t13))
% 0.40/0.62  (step @p76 :rule nary_cong :premises (@p50 @p75) :args (@t14))
% 0.40/0.62  (step @p77 :rule trans :premises (@p76 @p74))
% 0.40/0.62  (step @p78 :rule arith_poly_norm :args ((= (* -1 @t11) @t76)))
% 0.40/0.62  (step @p79 :rule refl :args (@t11))
% 0.40/0.62  (step @p80 :rule nary_cong :premises (@p50 @p79) :args (@t12))
% 0.40/0.62  (step @p81 :rule trans :premises (@p80 @p78))
% 0.40/0.62  (step @p82 :rule refl :args (@t10))
% 0.40/0.62  (step @p83 :rule nary_cong :premises (@p82 @p81 @p77 @p73 @p72) :args (@t80))
% 0.40/0.62  (step @p84 :rule trans :premises (@p83 @p71))
% 0.40/0.62  (step @p85 :rule arith_poly_norm :args ((= @t17 @t80)))
% 0.40/0.62  (step @p86 :rule trans :premises (@p85 @p84))
% 0.40/0.62  (step @p87 :rule cong :premises (@p86 @p41) :args (@t18))
% 0.40/0.62  (step @p88 :rule trans :premises (@p87 @p70))
% 0.40/0.62  (step @p89 :rule eq_resolve :premises (@p2 @p88))
% 0.40/0.62  (step @p90 :rule arith_poly_norm :args ((= (* -56 (- @t85 0)) (* 56 (- @t22 @t83)))))
% 0.40/0.62  (step @p91 :rule arith_poly_norm_rel :premises (@p90) :args ((= @t87 @t86)))
% 0.40/0.62  (step @p92 :rule arith_poly_norm :args ((= (+ @t81 @t21 @t84 @t82 @t26) @t85)))
% 0.40/0.62  (step @p93 :rule refl :args (@t26))
% 0.40/0.62  (step @p94 :rule arith_poly_norm :args ((= (* -1 @t24) @t82)))
% 0.40/0.62  (step @p95 :rule refl :args (@t24))
% 0.40/0.62  (step @p96 :rule nary_cong :premises (@p50 @p95) :args (@t25))
% 0.40/0.62  (step @p97 :rule trans :premises (@p96 @p94))
% 0.40/0.62  (step @p98 :rule arith_poly_norm :args ((= (* -1 @t22) @t84)))
% 0.40/0.62  (step @p99 :rule refl :args (@t22))
% 0.40/0.62  (step @p100 :rule nary_cong :premises (@p50 @p99) :args (@t23))
% 0.40/0.62  (step @p101 :rule trans :premises (@p100 @p98))
% 0.40/0.62  (step @p102 :rule refl :args (@t21))
% 0.40/0.62  (step @p103 :rule arith_poly_norm :args ((= (* -1 @t19) @t81)))
% 0.40/0.62  (step @p104 :rule refl :args (@t19))
% 0.40/0.62  (step @p105 :rule nary_cong :premises (@p50 @p104) :args (@t20))
% 0.40/0.62  (step @p106 :rule trans :premises (@p105 @p103))
% 0.40/0.62  (step @p107 :rule nary_cong :premises (@p106 @p102 @p101 @p97 @p93) :args (@t88))
% 0.40/0.62  (step @p108 :rule trans :premises (@p107 @p92))
% 0.40/0.62  (step @p109 :rule arith_poly_norm :args ((= @t27 @t88)))
% 0.40/0.62  (step @p110 :rule trans :premises (@p109 @p108))
% 0.40/0.62  (step @p111 :rule cong :premises (@p110 @p41) :args (@t28))
% 0.40/0.62  (step @p112 :rule trans :premises (@p111 @p91))
% 0.40/0.62  (step @p113 :rule eq_resolve :premises (@p3 @p112))
% 0.40/0.62  (step @p114 :rule and_elim :premises (@p37) :args (1))
% 0.40/0.62  (assume-push @p897 @t90)
% 0.40/0.62  (assume-push @p898 @t86)
% 0.40/0.62  (assume-push @p899 @t78)
% 0.40/0.62  (assume-push @p900 @t67)
% 0.40/0.62  (assume-push @p901 @t49)
% 0.40/0.62  (step @p120 :rule arith-elim-lt :args (@t48 -1))
% 0.40/0.62  (step @p121 :rule symm :premises (@p120))
% 0.40/0.62  (assume-push @p902 @t49)
% 0.40/0.62  (step @p123 :rule evaluate :args ((<= 0/1 -1/1)))
% 0.40/0.62  (step @p124 :rule evaluate :args ((+ 1/1 0/1 0/1 0/1 -2/1)))
% 0.40/0.62  (step @p125 :rule evaluate :args (@t91))
% 0.40/0.62  (step @p126 :rule evaluate :args (@t92))
% 0.40/0.62  (step @p127 :rule cong :premises (@p126) :args (@t93))
% 0.40/0.62  (step @p128 :rule trans :premises (@p127 @p125))
% 0.40/0.62  (step @p129 :rule evaluate :args (@t94))
% 0.40/0.62  (step @p130 :rule evaluate :args (@t95))
% 0.40/0.62  (step @p131 :rule cong :premises (@p130) :args (@t96))
% 0.40/0.62  (step @p132 :rule trans :premises (@p131 @p129))
% 0.40/0.62  (step @p133 :rule evaluate :args (@t97))
% 0.40/0.62  (step @p134 :rule evaluate :args (@t98))
% 0.40/0.62  (step @p135 :rule evaluate :args ((to_real 1)))
% 0.40/0.62  (step @p136 :rule evaluate :args (@t99))
% 0.40/0.62  (step @p137 :rule cong :premises (@p136) :args (@t100))
% 0.40/0.62  (step @p138 :rule trans :premises (@p137 @p135))
% 0.40/0.62  (step @p139 :rule nary_cong :premises (@p138 @p134 @p133 @p132 @p128) :args (@t101))
% 0.40/0.62  (step @p140 :rule trans :premises (@p139 @p124))
% 0.40/0.62  (step @p141 :rule arith_poly_norm :args ((= (+ (to_real @t110) @t108 @t107 (to_real @t103) (to_real @t102)) 0/1)))
% 0.40/0.62  (step @p142 :rule arith_poly_norm :args ((= @t111 @t102)))
% 0.40/0.62  (step @p143 :rule cong :premises (@p142) :args (@t112))
% 0.40/0.62  (step @p144 :rule arith_poly_norm :args ((= @t113 @t103)))
% 0.40/0.62  (step @p145 :rule cong :premises (@p144) :args (@t114))
% 0.40/0.62  (step @p146 :rule arith_poly_norm :args ((= @t116 @t107)))
% 0.40/0.62  (step @p147 :rule arith_poly_norm :args ((= @t119 @t108)))
% 0.40/0.62  (step @p148 :rule arith_poly_norm :args ((= @t120 @t110)))
% 0.40/0.62  (step @p149 :rule cong :premises (@p148) :args (@t121))
% 0.40/0.62  (step @p150 :rule nary_cong :premises (@p149 @p147 @p146 @p145 @p143) :args (@t122))
% 0.40/0.62  (step @p151 :rule trans :premises (@p150 @p141))
% 0.40/0.62  (step @p152 :rule cong :premises (@p151 @p140) :args ((<= @t122 @t101)))
% 0.40/0.62  (step @p153 :rule trans :premises (@p152 @p123))
% 0.40/0.62  (step @p154 :rule arith_poly_norm :args ((= (* 2/1 (to_real (- @t111 @t92))) (* 2/1 (- @t112 @t93)))))
% 0.40/0.62  (step @p155 :rule arith_poly_norm_rel :premises (@p154) :args ((= (<= @t111 @t92) (<= @t112 @t93))))
% 0.40/0.62  (step @p156 :rule arith_mult_neg :args (-2 @t90))
% 0.40/0.62  (step @p157 :rule evaluate :args (@t123))
% 0.40/0.62  (step @p158 :rule true_elim :premises (@p157))
% 0.40/0.62  (step @p159 :rule and_intro :premises (@p158 @p897))
% 0.40/0.62  (step @p160 :rule modus_ponens :premises (@p159 @p156))
% 0.40/0.62  (step @p161 :rule eq_resolve :premises (@p160 @p155))
% 0.40/0.62  (step @p162 :rule arith_mult_neg :args (-56 @t87))
% 0.40/0.62  (step @p163 :rule symm :premises (@p91))
% 0.40/0.62  (step @p164 :rule eq_resolve :premises (@p113 @p163))
% 0.40/0.62  (step @p165 :rule evaluate :args ((< -56 0)))
% 0.40/0.62  (step @p166 :rule true_elim :premises (@p165))
% 0.40/0.62  (step @p167 :rule and_intro :premises (@p166 @p164))
% 0.40/0.62  (step @p168 :rule modus_ponens :premises (@p167 @p162))
% 0.40/0.62  (step @p169 :rule cong :premises (@p168) :args (@t114))
% 0.40/0.62  (assume-push @p903 @t124)
% 0.40/0.62  (assume-push @p904 @t79)
% 0.40/0.62  (step @p172 :rule arith_mult_neg :args (-7/2 @t125))
% 0.40/0.62  (step @p173 :rule evaluate :args (@t94))
% 0.40/0.62  (step @p174 :rule cong :premises (@p904) :args (@t115))
% 0.40/0.62  (step @p175 :rule trans :premises (@p174 @p173))
% 0.40/0.62  (step @p176 :rule and_intro :premises (@p903 @p175))
% 0.40/0.62  (step @p177 :rule modus_ponens :premises (@p176 @p172))
% 0.40/0.62  (step-pop @p905 :rule scope :premises (@p177))
% 0.40/0.62  (step-pop @p906 :rule scope :premises (@p905))
% 0.40/0.62  (step @p178 :rule process_scope :premises (@p906) :args ((= @t116 @t97)))
% 0.40/0.62  (step @p181 :rule symm :premises (@p70))
% 0.40/0.62  (step @p182 :rule eq_resolve :premises (@p89 @p181))
% 0.40/0.62  (step @p183 :rule evaluate :args (@t124))
% 0.40/0.62  (step @p184 :rule true_elim :premises (@p183))
% 0.40/0.62  (step @p185 :rule and_intro :premises (@p184 @p182))
% 0.40/0.62  (step @p186 :rule modus_ponens :premises (@p185 @p178))
% 0.40/0.62  (assume-push @p907 @t126)
% 0.40/0.62  (assume-push @p908 @t127)
% 0.40/0.62  (step @p189 :rule arith_mult_pos :args (1267/2 @t128))
% 0.40/0.62  (step @p190 :rule evaluate :args (@t94))
% 0.40/0.62  (step @p191 :rule cong :premises (@p908) :args (@t118))
% 0.40/0.62  (step @p192 :rule trans :premises (@p191 @p190))
% 0.40/0.62  (step @p193 :rule and_intro :premises (@p907 @p192))
% 0.40/0.62  (step @p194 :rule modus_ponens :premises (@p193 @p189))
% 0.40/0.62  (step-pop @p909 :rule scope :premises (@p194))
% 0.40/0.62  (step-pop @p910 :rule scope :premises (@p909))
% 0.40/0.62  (step @p195 :rule process_scope :premises (@p910) :args ((= @t119 @t98)))
% 0.40/0.62  (step @p198 :rule arith_poly_norm :args (@t129))
% 0.40/0.62  (step @p199 :rule arith_poly_norm_rel :premises (@p198) :args (@t130))
% 0.40/0.62  (step @p200 :rule symm :premises (@p199))
% 0.40/0.62  (step @p201 :rule eq_resolve :premises (@p68 @p200))
% 0.40/0.62  (step @p202 :rule evaluate :args (@t126))
% 0.40/0.62  (step @p203 :rule true_elim :premises (@p202))
% 0.40/0.62  (step @p204 :rule and_intro :premises (@p203 @p201))
% 0.40/0.62  (step @p205 :rule modus_ponens :premises (@p204 @p195))
% 0.40/0.62  (step @p206 :rule arith_poly_norm :args ((= (* -1/1 (to_real (- @t120 @t99))) (* -1/1 (- @t121 @t100)))))
% 0.40/0.62  (step @p207 :rule arith_poly_norm_rel :premises (@p206) :args ((= (<= @t120 @t99) (<= @t121 @t100))))
% 0.40/0.62  (step @p208 :rule arith_mult_neg :args (-1 @t49))
% 0.40/0.62  (step @p209 :rule evaluate :args (@t131))
% 0.40/0.62  (step @p210 :rule true_elim :premises (@p209))
% 0.40/0.62  (step @p211 :rule and_intro :premises (@p210 @p114))
% 0.40/0.62  (step @p212 :rule modus_ponens :premises (@p211 @p208))
% 0.40/0.62  (step @p213 :rule eq_resolve :premises (@p212 @p207))
% 0.40/0.62  (step @p214 :rule arith_sum_ub :premises (@p213 @p205 @p186 @p169 @p161))
% 0.40/0.62  (step @p215 false :rule eq_resolve :premises (@p214 @p153))
% 0.40/0.62  (step-pop @p911 :rule scope :premises (@p215))
% 0.40/0.62  (step @p216 :rule process_scope :premises (@p911) :args (false))
% 0.40/0.62  (step @p218 :rule eq_resolve :premises (@p216 @p121))
% 0.40/0.62  (step @p219 :rule eq_resolve :premises (@p218 @p120))
% 0.40/0.62  (step @p220 false :rule contra :premises (@p114 @p219))
% 0.40/0.62  (step-pop @p912 :rule scope :premises (@p220))
% 0.40/0.62  (step-pop @p913 :rule scope :premises (@p912))
% 0.40/0.62  (step-pop @p914 :rule scope :premises (@p913))
% 0.40/0.62  (step-pop @p915 :rule scope :premises (@p914))
% 0.40/0.62  (step-pop @p916 :rule scope :premises (@p915))
% 0.40/0.62  (step @p221 :rule process_scope :premises (@p916) :args (false))
% 0.40/0.62  (assume-push @p917 @t67)
% 0.40/0.62  (assume-push @p918 @t78)
% 0.40/0.62  (assume-push @p919 @t86)
% 0.40/0.62  (assume-push @p920 @t49)
% 0.40/0.62  (assume-push @p921 @t90)
% 0.40/0.62  (step @p232 :rule and_intro :premises (@p921 @p113 @p89 @p68 @p114))
% 0.40/0.62  (step-pop @p922 :rule scope :premises (@p232))
% 0.40/0.62  (step-pop @p923 :rule scope :premises (@p922))
% 0.40/0.62  (step-pop @p924 :rule scope :premises (@p923))
% 0.40/0.62  (step-pop @p925 :rule scope :premises (@p924))
% 0.40/0.62  (step-pop @p926 :rule scope :premises (@p925))
% 0.40/0.62  (step @p233 :rule process_scope :premises (@p926) :args (@t132))
% 0.40/0.62  (step @p239 :rule implies_elim :premises (@p233))
% 0.40/0.62  (step @p240 :rule resolution :premises (@p239 @p221) :args (true @t132))
% 0.40/0.62  (step @p241 :rule not_and :premises (@p240))
% 0.40/0.62  (step @p242 :rule reordering :premises (@p241) :args ((or (not @t49) @t136 @t135 @t134 @t133)))
% 0.40/0.62  (step @p243 :rule chain_m_resolution :premises (@p242 @p114 @p68 @p89 @p113) :args (@t133 (@list false false false false) (@list @t49 @t67 @t78 @t86)))
% 0.40/0.62  (step @p244 :rule bool-double-not-elim :args (@t90))
% 0.40/0.62  (step @p245 :rule bool-double-not-elim :args (@t145))
% 0.40/0.62  (step @p246 :rule refl :args (@t147))
% 0.40/0.62  (step @p247 :rule refl :args (@t134))
% 0.40/0.62  (step @p248 :rule refl :args (@t135))
% 0.40/0.62  (step @p249 :rule refl :args (@t136))
% 0.40/0.62  (step @p250 :rule nary_cong :premises (@p249 @p248 @p247 @p246 @p245 @p244) :args ((or @t136 @t135 @t134 @t147 @t150 @t148)))
% 0.40/0.62  (assume-push @p927 @t133)
% 0.40/0.62  (assume-push @p928 @t146)
% 0.40/0.62  (assume-push @p929 @t86)
% 0.40/0.62  (assume-push @p930 @t67)
% 0.40/0.62  (assume-push @p931 @t78)
% 0.40/0.62  (assume-push @p932 @t149)
% 0.40/0.62  (step @p257 :rule arith-elim-lt :args (@t144 0))
% 0.40/0.62  (step @p258 :rule cong :premises (@p257) :args ((not @t151)))
% 0.40/0.62  (step @p259 :rule trans :premises (@p258 @p245))
% 0.40/0.62  (step @p260 :rule symm :premises (@p259))
% 0.40/0.62  (assume-push @p933 @t151)
% 0.40/0.62  (step @p262 :rule evaluate :args (@t152))
% 0.40/0.62  (step @p263 :rule evaluate :args (@t153))
% 0.40/0.62  (step @p264 :rule evaluate :args ((+ 0/1 0/1 0/1 0/1 0/1 0/1)))
% 0.40/0.62  (step @p265 :rule evaluate :args (@t94))
% 0.40/0.62  (step @p266 :rule evaluate :args (@t154))
% 0.40/0.62  (step @p267 :rule cong :premises (@p266) :args (@t155))
% 0.40/0.62  (step @p268 :rule trans :premises (@p267 @p265))
% 0.40/0.62  (step @p269 :rule evaluate :args (@t156))
% 0.40/0.62  (step @p270 :rule cong :premises (@p269) :args (@t157))
% 0.40/0.62  (step @p271 :rule trans :premises (@p270 @p265))
% 0.40/0.62  (step @p272 :rule evaluate :args (@t158))
% 0.40/0.62  (step @p273 :rule evaluate :args (@t159))
% 0.40/0.62  (step @p274 :rule refl :args (0/1))
% 0.40/0.62  (step @p275 :rule nary_cong :premises (@p274 @p273 @p272 @p271 @p268 @p268) :args (@t160))
% 0.40/0.62  (step @p276 :rule trans :premises (@p275 @p264))
% 0.40/0.62  (step @p277 :rule arith_poly_norm :args ((= @t182 0/1)))
% 0.40/0.62  (step @p278 :rule arith_poly_norm :args ((= @t192 @t182)))
% 0.40/0.62  (step @p279 :rule trans :premises (@p278 @p277))
% 0.40/0.62  (step @p280 :rule cong :premises (@p279 @p276) :args (@t193))
% 0.40/0.62  (step @p281 :rule trans :premises (@p280 @p263))
% 0.40/0.62  (step @p282 :rule cong :premises (@p281) :args ((not @t193)))
% 0.40/0.62  (step @p283 :rule trans :premises (@p282 @p262))
% 0.40/0.62  (step @p284 :rule arith-elim-lt :args (@t192 @t160))
% 0.40/0.62  (step @p285 :rule trans :premises (@p284 @p283))
% 0.40/0.62  (step @p286 :rule arith_poly_norm :args (@t194))
% 0.40/0.62  (step @p287 :rule arith_poly_norm_rel :premises (@p286) :args (@t195))
% 0.40/0.62  (step @p288 :rule arith_mult_pos :args (2 @t196))
% 0.40/0.62  (step @p289 :rule arith-elim-lt :args (@t89 1))
% 0.40/0.62  (step @p290 :rule symm :premises (@p289))
% 0.40/0.62  (step @p291 :rule eq_resolve :premises (@p927 @p290))
% 0.40/0.62  (step @p292 :rule int_tight_ub :premises (@p291))
% 0.40/0.62  (step @p293 :rule evaluate :args (@t197))
% 0.40/0.62  (step @p294 :rule true_elim :premises (@p293))
% 0.40/0.62  (step @p295 :rule and_intro :premises (@p294 @p292))
% 0.40/0.62  (step @p296 :rule modus_ponens :premises (@p295 @p288))
% 0.40/0.62  (step @p297 :rule eq_resolve :premises (@p296 @p287))
% 0.40/0.62  (step @p298 :rule arith_mult_pos :args (2 @t198))
% 0.40/0.62  (step @p299 :rule arith_poly_norm :args (@t199))
% 0.40/0.62  (step @p300 :rule arith_poly_norm_rel :premises (@p299) :args (@t200))
% 0.40/0.62  (step @p301 :rule symm :premises (@p300))
% 0.40/0.62  (step @p302 :rule eq_resolve :premises (@p928 @p301))
% 0.40/0.62  (step @p303 :rule and_intro :premises (@p294 @p302))
% 0.40/0.62  (step @p304 :rule modus_ponens :premises (@p303 @p298))
% 0.40/0.62  (step @p305 :rule cong :premises (@p304) :args (@t187))
% 0.40/0.62  (step @p306 :rule arith_mult_pos :args (56 @t87))
% 0.40/0.62  (step @p163 :rule symm :premises (@p91))
% 0.40/0.62  (step @p164 :rule eq_resolve :premises (@p113 @p163))
% 0.40/0.62  (step @p307 :rule evaluate :args (@t201))
% 0.40/0.62  (step @p308 :rule true_elim :premises (@p307))
% 0.40/0.62  (step @p309 :rule and_intro :premises (@p308 @p164))
% 0.40/0.62  (step @p310 :rule modus_ponens :premises (@p309 @p306))
% 0.40/0.62  (step @p311 :rule cong :premises (@p310) :args (@t188))
% 0.40/0.62  (assume-push @p934 @t202)
% 0.40/0.62  (assume-push @p935 @t127)
% 0.40/0.62  (step @p314 :rule arith_mult_neg :args (-1267/2 @t128))
% 0.40/0.62  (step @p315 :rule evaluate :args (@t94))
% 0.40/0.62  (step @p316 :rule cong :premises (@p935) :args (@t118))
% 0.40/0.62  (step @p317 :rule trans :premises (@p316 @p315))
% 0.40/0.62  (step @p318 :rule and_intro :premises (@p934 @p317))
% 0.40/0.62  (step @p319 :rule modus_ponens :premises (@p318 @p314))
% 0.40/0.62  (step-pop @p936 :rule scope :premises (@p319))
% 0.40/0.62  (step-pop @p937 :rule scope :premises (@p936))
% 0.40/0.62  (step @p320 :rule process_scope :premises (@p937) :args (@t203))
% 0.40/0.62  (step @p198 :rule arith_poly_norm :args (@t129))
% 0.40/0.62  (step @p199 :rule arith_poly_norm_rel :premises (@p198) :args (@t130))
% 0.40/0.62  (step @p200 :rule symm :premises (@p199))
% 0.40/0.62  (step @p201 :rule eq_resolve :premises (@p68 @p200))
% 0.40/0.62  (step @p323 :rule evaluate :args (@t202))
% 0.40/0.62  (step @p324 :rule true_elim :premises (@p323))
% 0.40/0.62  (step @p325 :rule and_intro :premises (@p324 @p201))
% 0.40/0.62  (step @p326 :rule modus_ponens :premises (@p325 @p320))
% 0.40/0.62  (assume-push @p938 @t204)
% 0.40/0.62  (assume-push @p939 @t79)
% 0.40/0.62  (step @p329 :rule arith_mult_pos :args (7/2 @t125))
% 0.40/0.62  (step @p330 :rule evaluate :args (@t94))
% 0.40/0.62  (step @p331 :rule cong :premises (@p939) :args (@t115))
% 0.40/0.62  (step @p332 :rule trans :premises (@p331 @p330))
% 0.40/0.62  (step @p333 :rule and_intro :premises (@p938 @p332))
% 0.40/0.62  (step @p334 :rule modus_ponens :premises (@p333 @p329))
% 0.40/0.62  (step-pop @p940 :rule scope :premises (@p334))
% 0.40/0.62  (step-pop @p941 :rule scope :premises (@p940))
% 0.40/0.62  (step @p335 :rule process_scope :premises (@p941) :args (@t205))
% 0.40/0.62  (step @p181 :rule symm :premises (@p70))
% 0.40/0.62  (step @p182 :rule eq_resolve :premises (@p89 @p181))
% 0.40/0.62  (step @p338 :rule evaluate :args (@t204))
% 0.40/0.62  (step @p339 :rule true_elim :premises (@p338))
% 0.40/0.62  (step @p340 :rule and_intro :premises (@p339 @p182))
% 0.40/0.62  (step @p341 :rule modus_ponens :premises (@p340 @p335))
% 0.40/0.62  (step @p342 :rule evaluate :args (@t94))
% 0.40/0.62  (step @p343 :rule refl :args (@t191))
% 0.40/0.62  (step @p344 :rule cong :premises (@p343 @p342) :args (@t206))
% 0.40/0.62  (step @p345 :rule arith_poly_norm :args (@t208))
% 0.40/0.62  (step @p346 :rule arith_poly_norm_rel :premises (@p345) :args (@t209))
% 0.40/0.62  (step @p347 :rule trans :premises (@p346 @p344))
% 0.40/0.62  (step @p348 :rule eq_resolve :premises (@p933 @p347))
% 0.40/0.62  (step @p349 :rule arith_sum_ub :premises (@p348 @p341 @p326 @p311 @p305 @p297))
% 0.40/0.62  (step @p350 false :rule eq_resolve :premises (@p349 @p285))
% 0.40/0.62  (step-pop @p942 :rule scope :premises (@p350))
% 0.40/0.62  (step @p351 :rule process_scope :premises (@p942) :args (false))
% 0.40/0.62  (step @p353 :rule eq_resolve :premises (@p351 @p259))
% 0.40/0.62  (step @p354 :rule eq_resolve :premises (@p353 @p260))
% 0.40/0.62  (step @p355 :rule symm :premises (@p257))
% 0.40/0.62  (step @p356 :rule eq_resolve :premises (@p932 @p355))
% 0.40/0.62  (step @p357 false :rule contra :premises (@p356 @p354))
% 0.40/0.62  (step-pop @p943 :rule scope :premises (@p357))
% 0.40/0.62  (step-pop @p944 :rule scope :premises (@p943))
% 0.40/0.62  (step-pop @p945 :rule scope :premises (@p944))
% 0.40/0.62  (step-pop @p946 :rule scope :premises (@p945))
% 0.40/0.62  (step-pop @p947 :rule scope :premises (@p946))
% 0.40/0.62  (step-pop @p948 :rule scope :premises (@p947))
% 0.40/0.62  (step @p358 :rule process_scope :premises (@p948) :args (false))
% 0.40/0.62  (assume-push @p949 @t67)
% 0.40/0.62  (assume-push @p950 @t78)
% 0.40/0.62  (assume-push @p951 @t86)
% 0.40/0.62  (assume-push @p952 @t146)
% 0.40/0.62  (assume-push @p953 @t149)
% 0.40/0.62  (assume-push @p954 @t133)
% 0.40/0.62  (step @p371 :rule and_intro :premises (@p954 @p952 @p113 @p68 @p89 @p953))
% 0.40/0.62  (step-pop @p955 :rule scope :premises (@p371))
% 0.40/0.62  (step-pop @p956 :rule scope :premises (@p955))
% 0.40/0.62  (step-pop @p957 :rule scope :premises (@p956))
% 0.40/0.62  (step-pop @p958 :rule scope :premises (@p957))
% 0.40/0.62  (step-pop @p959 :rule scope :premises (@p958))
% 0.40/0.62  (step-pop @p960 :rule scope :premises (@p959))
% 0.40/0.62  (step @p372 :rule process_scope :premises (@p960) :args (@t210))
% 0.40/0.62  (step @p379 :rule implies_elim :premises (@p372))
% 0.40/0.62  (step @p380 :rule resolution :premises (@p379 @p358) :args (true @t210))
% 0.40/0.62  (step @p381 :rule not_and :premises (@p380))
% 0.40/0.62  (step @p382 :rule eq_resolve :premises (@p381 @p250))
% 0.40/0.62  (step @p383 :rule and_elim :premises (@p35) :args (0))
% 0.40/0.62  (step @p384 :rule refl :args (-1))
% 0.40/0.62  (step @p385 :rule nary_cong :premises (@p384 @p383) :args (@t137))
% 0.40/0.62  (step @p386 :rule refl :args (@t142))
% 0.40/0.62  (step @p387 :rule cong :premises (@p386 @p385) :args (@t211))
% 0.40/0.62  (step @p388 :rule arith_reduction :args (@t139))
% 0.40/0.62  (step @p389 :rule and_elim :premises (@p388) :args (0))
% 0.40/0.62  (step @p390 :rule cong :premises (@p386 @p389) :args (@t212))
% 0.40/0.62  (step @p391 :rule refl :args (@t140))
% 0.40/0.62  (step @p392 :rule cong :premises (@p391 @p390 @p387) :args ((ite @t140 @t212 @t211)))
% 0.40/0.62  (step @p393 :rule refl :args (@t137))
% 0.40/0.62  (step @p394 :rule eq-refl :args (@t141))
% 0.40/0.62  (step @p395 :rule refl :args (@t141))
% 0.40/0.62  (step @p396 :rule skolem_intro :args (@t142))
% 0.40/0.62  (step @p397 :rule cong :premises (@p396 @p395) :args (@t213))
% 0.40/0.62  (step @p398 :rule arith_poly_norm :args ((= (* -1 (- @t141 @t142)) (* 1 (- @t142 @t141)))))
% 0.40/0.62  (step @p399 :rule arith_poly_norm_rel :premises (@p398) :args ((= (= @t141 @t142) @t213)))
% 0.40/0.62  (step @p400 :rule trans :premises (@p399 @p397 @p394))
% 0.40/0.62  (step @p401 :rule true_elim :premises (@p400))
% 0.40/0.62  (step @p402 :rule cong :premises (@p401 @p393) :args (@t214))
% 0.40/0.62  (step @p403 :rule refl :args (@t139))
% 0.40/0.62  (step @p404 :rule cong :premises (@p401 @p403) :args (@t215))
% 0.40/0.62  (step @p405 :rule cong :premises (@p391 @p404 @p402) :args ((ite @t140 @t215 @t214)))
% 0.40/0.62  (step @p406 :rule ite_eq :args (@t141))
% 0.40/0.62  (step @p407 :rule eq_resolve :premises (@p406 @p405))
% 0.40/0.62  (step @p408 :rule eq_resolve :premises (@p407 @p392))
% 0.40/0.62  (step @p409 :rule ite_elim2 :premises (@p408))
% 0.40/0.62  (step @p410 :rule ite_elim1 :premises (@p408))
% 0.40/0.62  (step @p411 :rule reordering :premises (@p410) :args ((or @t217 (not @t140))))
% 0.40/0.62  (step @p412 :rule arith_poly_norm :args ((= (* -2/1 (- @t223 1/1)) (* -1/1 @t220))))
% 0.40/0.62  (step @p413 :rule arith_poly_norm_rel :premises (@p412) :args ((= (>= @t223 1/1) @t224)))
% 0.40/0.62  (step @p414 :rule arith_poly_norm :args ((= @t226 @t222)))
% 0.40/0.62  (step @p415 :rule refl :args (@t138))
% 0.40/0.62  (step @p416 :rule nary_cong :premises (@p415 @p414) :args (@t227))
% 0.40/0.62  (step @p417 :rule arith_poly_norm :args ((= @t228 @t227)))
% 0.40/0.62  (step @p418 :rule trans :premises (@p417 @p416))
% 0.40/0.62  (step @p419 :rule cong :premises (@p418 @p12) :args (@t229))
% 0.40/0.62  (step @p420 :rule trans :premises (@p419 @p413))
% 0.40/0.62  (step @p421 :rule cong :premises (@p420) :args ((not @t229)))
% 0.40/0.62  (step @p422 :rule arith-elim-lt :args (@t228 1/1))
% 0.40/0.62  (step @p423 :rule trans :premises (@p422 @p421))
% 0.40/0.62  (step @p424 :rule arith_poly_norm :args ((= (* 1/1 (- @t223 0/1)) (* 1/2 @t230))))
% 0.40/0.62  (step @p425 :rule arith_poly_norm_rel :premises (@p424) :args ((= (>= @t223 0/1) @t231)))
% 0.40/0.62  (step @p426 :rule arith-elim-leq :args (0/1 @t223))
% 0.40/0.62  (step @p427 :rule trans :premises (@p426 @p425))
% 0.40/0.62  (step @p428 :rule cong :premises (@p31 @p418) :args (@t232))
% 0.40/0.62  (step @p429 :rule trans :premises (@p428 @p427))
% 0.40/0.62  (step @p430 :rule nary_cong :premises (@p429 @p423) :args ((and @t232 (< @t228 1/1))))
% 0.40/0.62  (step @p431 :rule and_elim :premises (@p388) :args (1))
% 0.40/0.62  (step @p432 :rule eq_resolve :premises (@p431 @p430))
% 0.40/0.62  (step @p433 :rule and_elim :premises (@p432) :args (0))
% 0.40/0.62  (step @p434 :rule refl :args (@t233))
% 0.40/0.62  (step @p435 :rule refl :args (@t234))
% 0.40/0.62  (step @p436 :rule nary_cong :premises (@p435 @p434 @p245) :args ((or @t234 @t233 @t150)))
% 0.40/0.62  (assume-push @p961 @t149)
% 0.40/0.62  (assume-push @p962 @t231)
% 0.40/0.62  (assume-push @p963 @t217)
% 0.40/0.62  (assume-push @p964 @t236)
% 0.40/0.62  (step @p262 :rule evaluate :args (@t152))
% 0.40/0.62  (step @p263 :rule evaluate :args (@t153))
% 0.40/0.62  (step @p441 :rule evaluate :args ((+ 0/1 0/1 0/1)))
% 0.40/0.62  (step @p442 :rule evaluate :args (@t237))
% 0.40/0.62  (step @p443 :rule evaluate :args (@t238))
% 0.40/0.62  (step @p444 :rule refl :args (0/1))
% 0.40/0.62  (step @p445 :rule nary_cong :premises (@p444 @p443 @p442) :args (@t239))
% 0.40/0.62  (step @p446 :rule trans :premises (@p445 @p441))
% 0.40/0.62  (step @p447 :rule evaluate :args (@t94))
% 0.40/0.62  (step @p448 :rule arith_poly_norm :args ((= (+ @t240 @t216 @t221 @t142 0) 0)))
% 0.40/0.62  (step @p449 :rule arith_poly_norm :args (@t242))
% 0.40/0.62  (step @p450 :rule refl :args (@t221))
% 0.40/0.62  (step @p451 :rule refl :args (@t216))
% 0.40/0.62  (step @p452 :rule refl :args (@t240))
% 0.40/0.62  (step @p453 :rule nary_cong :premises (@p452 @p451 @p450 @p386 @p449) :args (@t243))
% 0.40/0.62  (step @p454 :rule trans :premises (@p453 @p448))
% 0.40/0.62  (step @p455 :rule cong :premises (@p454) :args (@t244))
% 0.40/0.62  (step @p456 :rule trans :premises (@p455 @p447))
% 0.40/0.62  (step @p457 :rule arith_poly_norm :args ((= @t249 @t244)))
% 0.40/0.62  (step @p458 :rule trans :premises (@p457 @p456))
% 0.40/0.62  (step @p459 :rule cong :premises (@p458 @p446) :args (@t250))
% 0.40/0.62  (step @p460 :rule trans :premises (@p459 @p263))
% 0.40/0.62  (step @p461 :rule cong :premises (@p460) :args ((not @t250)))
% 0.40/0.62  (step @p462 :rule trans :premises (@p461 @p262))
% 0.40/0.62  (step @p463 :rule arith-elim-lt :args (@t249 @t239))
% 0.40/0.62  (step @p464 :rule trans :premises (@p463 @p462))
% 0.40/0.62  (assume-push @p965 @t251)
% 0.40/0.62  (assume-push @p966 @t151)
% 0.40/0.62  (step @p467 :rule arith_mult_pos :args (1/2 (< @t191 0/1)))
% 0.40/0.62  (step @p468 :rule evaluate :args (@t94))
% 0.40/0.62  (step @p469 :rule refl :args (@t191))
% 0.40/0.62  (step @p470 :rule cong :premises (@p469 @p468) :args (@t206))
% 0.40/0.62  (step @p345 :rule arith_poly_norm :args (@t208))
% 0.40/0.62  (step @p471 :rule arith_poly_norm_rel :premises (@p345) :args (@t209))
% 0.40/0.62  (step @p472 :rule trans :premises (@p471 @p470))
% 0.40/0.62  (step @p473 :rule eq_resolve :premises (@p966 @p472))
% 0.40/0.62  (step @p474 :rule and_intro :premises (@p965 @p473))
% 0.40/0.62  (step @p475 :rule modus_ponens :premises (@p474 @p467))
% 0.40/0.62  (step-pop @p967 :rule scope :premises (@p475))
% 0.40/0.62  (step-pop @p968 :rule scope :premises (@p967))
% 0.40/0.62  (step @p476 :rule process_scope :premises (@p968) :args ((< @t245 @t237)))
% 0.40/0.62  (step @p257 :rule arith-elim-lt :args (@t144 0))
% 0.40/0.62  (step @p355 :rule symm :premises (@p257))
% 0.40/0.62  (step @p479 :rule eq_resolve :premises (@p961 @p355))
% 0.40/0.62  (step @p480 :rule evaluate :args (@t251))
% 0.40/0.62  (step @p481 :rule true_elim :premises (@p480))
% 0.40/0.62  (step @p482 :rule and_intro :premises (@p481 @p479))
% 0.40/0.62  (step @p483 :rule modus_ponens :premises (@p482 @p476))
% 0.40/0.62  (assume-push @p969 @t252)
% 0.40/0.62  (assume-push @p970 @t231)
% 0.40/0.62  (step @p486 :rule arith_mult_neg :args (-1/2 (>= @t246 0/1)))
% 0.40/0.62  (step @p487 :rule evaluate :args (@t94))
% 0.40/0.62  (step @p488 :rule refl :args (@t246))
% 0.40/0.62  (step @p489 :rule cong :premises (@p488 @p487) :args (@t253))
% 0.40/0.62  (step @p490 :rule arith_poly_norm :args ((= (* 1/1 @t230) (* 1/1 (- @t246 @t94)))))
% 0.40/0.62  (step @p491 :rule arith_poly_norm_rel :premises (@p490) :args ((= @t231 @t253)))
% 0.40/0.62  (step @p492 :rule trans :premises (@p491 @p489))
% 0.40/0.62  (step @p493 :rule eq_resolve :premises (@p962 @p492))
% 0.40/0.62  (step @p494 :rule and_intro :premises (@p969 @p493))
% 0.40/0.62  (step @p495 :rule modus_ponens :premises (@p494 @p486))
% 0.40/0.62  (step-pop @p971 :rule scope :premises (@p495))
% 0.40/0.62  (step-pop @p972 :rule scope :premises (@p971))
% 0.40/0.62  (step @p496 :rule process_scope :premises (@p972) :args ((<= @t247 @t238)))
% 0.40/0.62  (step @p499 :rule evaluate :args (@t252))
% 0.40/0.62  (step @p500 :rule true_elim :premises (@p499))
% 0.40/0.62  (step @p501 :rule and_intro :premises (@p500 @p433))
% 0.40/0.62  (step @p502 :rule modus_ponens :premises (@p501 @p496))
% 0.40/0.62  (step @p503 :rule evaluate :args (@t94))
% 0.40/0.62  (step @p504 :rule cong :premises (@p964) :args (@t248))
% 0.40/0.62  (step @p505 :rule trans :premises (@p504 @p503))
% 0.40/0.62  (step @p506 :rule arith_sum_ub :premises (@p505 @p502 @p483))
% 0.40/0.62  (step @p507 false :rule eq_resolve :premises (@p506 @p464))
% 0.40/0.62  (step-pop @p973 :rule scope :premises (@p507))
% 0.40/0.62  (step @p508 :rule process_scope :premises (@p973) :args (false))
% 0.40/0.62  (step @p510 :rule arith_poly_norm :args (@t254))
% 0.40/0.62  (step @p511 :rule arith_poly_norm_rel :premises (@p510) :args (@t255))
% 0.40/0.62  (step @p512 :rule symm :premises (@p511))
% 0.40/0.62  (step @p513 :rule eq_resolve :premises (@p963 @p512))
% 0.40/0.62  (step @p514 false :rule contra :premises (@p513 @p508))
% 0.40/0.62  (step-pop @p974 :rule scope :premises (@p514))
% 0.40/0.62  (step-pop @p975 :rule scope :premises (@p974))
% 0.40/0.62  (step-pop @p976 :rule scope :premises (@p975))
% 0.40/0.62  (step @p515 :rule process_scope :premises (@p976) :args (false))
% 0.40/0.62  (assume-push @p977 @t217)
% 0.40/0.62  (assume-push @p978 @t231)
% 0.40/0.62  (assume-push @p979 @t149)
% 0.40/0.62  (step @p522 :rule and_intro :premises (@p979 @p433 @p977))
% 0.40/0.62  (step-pop @p980 :rule scope :premises (@p522))
% 0.40/0.62  (step-pop @p981 :rule scope :premises (@p980))
% 0.40/0.62  (step-pop @p982 :rule scope :premises (@p981))
% 0.40/0.62  (step @p523 :rule process_scope :premises (@p982) :args (@t256))
% 0.40/0.62  (step @p527 :rule implies_elim :premises (@p523))
% 0.40/0.62  (step @p528 :rule resolution :premises (@p527 @p515) :args (true @t256))
% 0.40/0.62  (step @p529 :rule not_and :premises (@p528))
% 0.40/0.62  (step @p530 :rule eq_resolve :premises (@p529 @p436))
% 0.40/0.62  (step @p531 :rule chain_m_resolution :premises (@p530 @p433 @p411 @p409 @p382 @p243 @p113 @p89 @p68) :args (@t145 (@list false false false true true false false false) (@list @t231 @t217 @t140 @t146 @t90 @t86 @t78 @t67)))
% 0.40/0.62  (step @p532 :rule refl :args (2))
% 0.40/0.62  (step @p533 :rule nary_cong :premises (@p532 @p401) :args (@t257))
% 0.40/0.62  (step @p534 :rule cong :premises (@p43 @p533) :args (@t258))
% 0.40/0.62  (step @p535 :rule cong :premises (@p534) :args ((not @t258)))
% 0.40/0.62  (step @p536 :rule arith_poly_norm :args ((= (* 1 (- @t260 0)) (* 1 (- tptp.x5 @t257)))))
% 0.40/0.62  (step @p537 :rule arith_poly_norm_rel :premises (@p536) :args ((= (= @t260 0) @t258)))
% 0.40/0.62  (step @p538 :rule arith-to-int-elim-to-real :args (@t260))
% 0.40/0.62  (step @p539 :rule arith_poly_norm :args ((= (+ @t30 @t261) (to_real @t260))))
% 0.40/0.62  (step @p540 :rule arith_poly_norm :args ((= (* -1/1 @t262) @t261)))
% 0.40/0.62  (step @p541 :rule arith_poly_norm :args ((= (* (to_real @t141) 2/1) @t262)))
% 0.40/0.62  (step @p542 :rule evaluate :args (@t29))
% 0.40/0.62  (step @p543 :rule arith_poly_norm :args ((= (* -1/1 @t138) @t44)))
% 0.40/0.62  (step @p544 :rule arith_poly_norm :args ((= @t263 @t138)))
% 0.40/0.62  ; WARNING: add trust step for TRUST_THEORY_REWRITE
% 0.40/0.62  ; trust TRUST_THEORY_REWRITE
% 0.40/0.62  (step @p545 :rule trust :premises () :args ((= @t31 @t263)))
% 0.40/0.62  (step @p546 :rule trans :premises (@p545 @p544))
% 0.40/0.62  (step @p547 :rule refl :args (-1/1))
% 0.40/0.62  (step @p548 :rule nary_cong :premises (@p547 @p546) :args (@t264))
% 0.40/0.62  (step @p549 :rule trans :premises (@p548 @p543))
% 0.40/0.62  (step @p550 :rule arith_poly_norm :args ((= @t32 @t264)))
% 0.40/0.62  (step @p551 :rule trans :premises (@p550 @p549))
% 0.40/0.62  (step @p552 :rule cong :premises (@p551) :args (@t33))
% 0.40/0.62  (step @p553 :rule nary_cong :premises (@p384 @p552) :args (@t265))
% 0.40/0.62  (step @p554 :rule arith_poly_norm :args ((= @t34 @t265)))
% 0.40/0.62  (step @p555 :rule trans :premises (@p554 @p553))
% 0.40/0.62  (step @p556 :rule cong :premises (@p546) :args (@t35))
% 0.40/0.62  (step @p557 :rule arith_poly_norm :args ((= (* 1/1 (- @t138 0/1)) (* 1/2 (to_real (- tptp.x5 0))))))
% 0.40/0.62  (step @p558 :rule arith_poly_norm_rel :premises (@p557) :args ((= (>= @t138 0/1) @t140)))
% 0.40/0.62  (step @p559 :rule cong :premises (@p546 @p31) :args (@t36))
% 0.40/0.62  (step @p560 :rule trans :premises (@p559 @p558))
% 0.40/0.62  (step @p561 :rule cong :premises (@p560 @p556 @p555) :args (@t37))
% 0.40/0.62  (step @p562 :rule cong :premises (@p561) :args (@t38))
% 0.40/0.62  (step @p563 :rule nary_cong :premises (@p562 @p542) :args (@t39))
% 0.40/0.62  (step @p564 :rule trans :premises (@p563 @p541))
% 0.40/0.62  (step @p565 :rule refl :args (-1/1))
% 0.40/0.62  (step @p566 :rule nary_cong :premises (@p565 @p564) :args (@t266))
% 0.40/0.62  (step @p567 :rule trans :premises (@p566 @p540))
% 0.40/0.62  (step @p568 :rule refl :args (@t30))
% 0.40/0.62  (step @p569 :rule nary_cong :premises (@p568 @p567) :args (@t267))
% 0.40/0.62  (step @p570 :rule trans :premises (@p569 @p539))
% 0.40/0.62  (step @p571 :rule arith_poly_norm :args ((= @t40 @t267)))
% 0.40/0.62  (step @p572 :rule trans :premises (@p571 @p570))
% 0.40/0.62  (step @p573 :rule cong :premises (@p572) :args (@t41))
% 0.40/0.62  (step @p574 :rule trans :premises (@p573 @p538))
% 0.40/0.62  (step @p575 :rule cong :premises (@p574 @p41) :args (@t42))
% 0.40/0.62  (step @p576 :rule trans :premises (@p575 @p537))
% 0.40/0.62  (step @p577 :rule cong :premises (@p576) :args (@t43))
% 0.40/0.62  (step @p578 :rule trans :premises (@p577 @p535))
% 0.40/0.62  (step @p579 :rule eq_resolve :premises (@p4 @p578))
% 0.40/0.62  (step @p580 :rule refl :args (@t268))
% 0.40/0.62  (step @p581 :rule refl :args (@t149))
% 0.40/0.62  (step @p582 :rule bool-double-not-elim :args (@t269))
% 0.40/0.62  (step @p583 :rule nary_cong :premises (@p582 @p581 @p580) :args ((or (not @t270) @t149 @t268)))
% 0.40/0.62  (assume-push @p983 @t270)
% 0.40/0.62  (assume-push @p984 @t145)
% 0.40/0.62  (assume-push @p985 @t270)
% 0.40/0.62  (assume-push @p986 @t145)
% 0.40/0.62  (step @p588 :rule arith_poly_norm :args ((= (* 1 @t207) (* 1 (- tptp.x5 @t175)))))
% 0.40/0.62  (step @p589 :rule arith_poly_norm_rel :premises (@p588) :args ((= @t271 @t269)))
% 0.40/0.62  (step @p590 :rule cong :premises (@p589) :args ((not @t271)))
% 0.40/0.62  (step @p591 :rule symm :premises (@p590))
% 0.40/0.62  (step @p592 :rule eq_resolve :premises (@p579 @p591))
% 0.40/0.62  (step @p593 :rule arith_trichotomy :premises (@p592 @p984))
% 0.40/0.62  (step @p594 :rule int_tight_lb :premises (@p593))
% 0.40/0.62  (step-pop @p987 :rule scope :premises (@p594))
% 0.40/0.62  (step-pop @p988 :rule scope :premises (@p987))
% 0.40/0.62  (step @p595 :rule process_scope :premises (@p988) :args (@t268))
% 0.40/0.62  (step @p598 :rule and_intro :premises (@p579 @p984))
% 0.40/0.62  (step @p599 :rule modus_ponens :premises (@p598 @p595))
% 0.40/0.62  (step-pop @p989 :rule scope :premises (@p599))
% 0.40/0.62  (step-pop @p990 :rule scope :premises (@p989))
% 0.40/0.62  (step @p600 :rule process_scope :premises (@p990) :args (@t268))
% 0.40/0.62  (step @p603 :rule implies_elim :premises (@p600))
% 0.40/0.62  (step @p604 :rule cnf_and_neg :args (@t272))
% 0.40/0.62  (step @p605 :rule resolution :premises (@p604 @p603) :args (true @t272))
% 0.40/0.62  (step @p606 :rule eq_resolve :premises (@p605 @p583))
% 0.40/0.62  (step @p607 :rule reordering :premises (@p606) :args ((or @t269 @t268 @t149)))
% 0.40/0.62  (step @p608 :rule chain_m_resolution :premises (@p607 @p579 @p531) :args (@t268 (@list true false) (@list @t269 @t145)))
% 0.40/0.62  (step @p609 :rule and_elim :premises (@p432) :args (1))
% 0.40/0.62  (step @p610 :rule bool-double-not-elim :args (@t273))
% 0.40/0.62  (step @p611 :rule bool-double-not-elim :args (@t146))
% 0.40/0.62  (step @p612 :rule bool-double-not-elim :args (@t224))
% 0.40/0.62  (step @p613 :rule nary_cong :premises (@p249 @p248 @p247 @p435 @p612 @p611 @p244 @p610) :args ((or @t136 @t135 @t134 @t234 (not @t275) (not @t147) @t148 (not @t274))))
% 0.40/0.62  (assume-push @p991 @t217)
% 0.40/0.62  (assume-push @p992 @t147)
% 0.40/0.62  (assume-push @p993 @t274)
% 0.40/0.62  (assume-push @p994 @t133)
% 0.40/0.62  (assume-push @p995 @t78)
% 0.40/0.62  (assume-push @p996 @t67)
% 0.40/0.62  (assume-push @p997 @t86)
% 0.40/0.62  (assume-push @p998 @t275)
% 0.40/0.62  (step @p622 :rule arith-elim-lt :args (@t219 2))
% 0.40/0.62  (step @p623 :rule cong :premises (@p622) :args ((not @t276)))
% 0.40/0.62  (step @p624 :rule trans :premises (@p623 @p612))
% 0.40/0.62  (step @p625 :rule symm :premises (@p624))
% 0.40/0.62  (assume-push @p999 @t276)
% 0.40/0.62  (step @p262 :rule evaluate :args (@t152))
% 0.40/0.62  (step @p263 :rule evaluate :args (@t153))
% 0.40/0.62  (step @p627 :rule evaluate :args ((+ 2/1 0/1 0/1 0/1 0/1 -2/1 0/1)))
% 0.40/0.62  (step @p628 :rule evaluate :args (@t94))
% 0.40/0.62  (step @p629 :rule evaluate :args (@t277))
% 0.40/0.62  (step @p630 :rule cong :premises (@p629) :args (@t278))
% 0.40/0.62  (step @p631 :rule trans :premises (@p630 @p628))
% 0.40/0.62  (step @p632 :rule evaluate :args (@t91))
% 0.40/0.62  (step @p633 :rule evaluate :args (@t279))
% 0.40/0.62  (step @p634 :rule cong :premises (@p633) :args (@t280))
% 0.40/0.62  (step @p635 :rule trans :premises (@p634 @p632))
% 0.40/0.62  (step @p266 :rule evaluate :args (@t154))
% 0.40/0.62  (step @p636 :rule cong :premises (@p266) :args (@t155))
% 0.40/0.62  (step @p637 :rule trans :premises (@p636 @p628))
% 0.40/0.62  (step @p273 :rule evaluate :args (@t159))
% 0.40/0.62  (step @p272 :rule evaluate :args (@t158))
% 0.40/0.62  (step @p269 :rule evaluate :args (@t156))
% 0.40/0.62  (step @p638 :rule cong :premises (@p269) :args (@t157))
% 0.40/0.62  (step @p639 :rule trans :premises (@p638 @p628))
% 0.40/0.62  (step @p640 :rule refl :args (2/1))
% 0.40/0.62  (step @p641 :rule nary_cong :premises (@p640 @p639 @p272 @p273 @p637 @p635 @p631) :args (@t281))
% 0.40/0.62  (step @p642 :rule trans :premises (@p641 @p627))
% 0.40/0.62  (step @p643 :rule arith_poly_norm :args ((= (+ @t181 @t180 @t179 @t178 @t284 @t283 @t177 @t176 0/1 @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t30 @t161) 0/1)))
% 0.40/0.62  (step @p644 :rule refl :args (@t161))
% 0.40/0.62  (step @p645 :rule refl :args (@t30))
% 0.40/0.62  (step @p646 :rule refl :args (@t162))
% 0.40/0.62  (step @p647 :rule refl :args (@t163))
% 0.40/0.62  (step @p648 :rule refl :args (@t164))
% 0.40/0.62  (step @p649 :rule refl :args (@t165))
% 0.40/0.62  (step @p650 :rule refl :args (@t166))
% 0.40/0.62  (step @p651 :rule refl :args (@t167))
% 0.40/0.62  (step @p652 :rule refl :args (@t168))
% 0.40/0.62  (step @p653 :rule refl :args (@t169))
% 0.40/0.62  (step @p654 :rule refl :args (@t170))
% 0.40/0.62  (step @p655 :rule refl :args (@t171))
% 0.40/0.62  (step @p656 :rule refl :args (@t172))
% 0.40/0.62  (step @p657 :rule refl :args (@t173))
% 0.40/0.62  (step @p658 :rule refl :args (@t174))
% 0.40/0.62  (step @p659 :rule evaluate :args (@t94))
% 0.40/0.62  (step @p660 :rule arith_poly_norm :args (@t286))
% 0.40/0.62  (step @p661 :rule cong :premises (@p660) :args (@t287))
% 0.40/0.62  (step @p662 :rule trans :premises (@p661 @p659))
% 0.40/0.62  (step @p663 :rule refl :args (@t176))
% 0.40/0.62  (step @p664 :rule refl :args (@t177))
% 0.40/0.62  (step @p665 :rule refl :args (@t283))
% 0.40/0.62  (step @p666 :rule refl :args (@t284))
% 0.40/0.62  (step @p667 :rule refl :args (@t178))
% 0.40/0.62  (step @p668 :rule refl :args (@t179))
% 0.40/0.62  (step @p669 :rule refl :args (@t180))
% 0.40/0.62  (step @p670 :rule refl :args (@t181))
% 0.40/0.62  (step @p671 :rule nary_cong :premises (@p670 @p669 @p668 @p667 @p666 @p665 @p664 @p663 @p662 @p658 @p657 @p656 @p655 @p654 @p653 @p652 @p651 @p650 @p649 @p648 @p647 @p646 @p645 @p644) :args (@t288))
% 0.40/0.62  (step @p672 :rule trans :premises (@p671 @p643))
% 0.40/0.62  (step @p673 :rule arith_poly_norm :args ((= @t290 @t288)))
% 0.40/0.62  (step @p674 :rule trans :premises (@p673 @p672))
% 0.40/0.62  (step @p675 :rule cong :premises (@p674 @p642) :args (@t291))
% 0.40/0.62  (step @p676 :rule trans :premises (@p675 @p263))
% 0.40/0.62  (step @p677 :rule cong :premises (@p676) :args ((not @t291)))
% 0.40/0.62  (step @p678 :rule trans :premises (@p677 @p262))
% 0.40/0.62  (step @p679 :rule arith-elim-lt :args (@t290 @t281))
% 0.40/0.62  (step @p680 :rule trans :premises (@p679 @p678))
% 0.40/0.62  (step @p681 :rule arith_mult_neg :args (-2 @t236))
% 0.40/0.62  (step @p510 :rule arith_poly_norm :args (@t254))
% 0.40/0.62  (step @p511 :rule arith_poly_norm_rel :premises (@p510) :args (@t255))
% 0.40/0.62  (step @p512 :rule symm :premises (@p511))
% 0.40/0.62  (step @p682 :rule eq_resolve :premises (@p991 @p512))
% 0.40/0.62  (step @p157 :rule evaluate :args (@t123))
% 0.40/0.62  (step @p158 :rule true_elim :premises (@p157))
% 0.40/0.62  (step @p683 :rule and_intro :premises (@p158 @p682))
% 0.40/0.62  (step @p684 :rule modus_ponens :premises (@p683 @p681))
% 0.40/0.62  (step @p685 :rule cong :premises (@p684) :args (@t289))
% 0.40/0.62  (step @p686 :rule arith_poly_norm :args ((= (* 2/1 (to_real (- @t186 @t279))) (* 2/1 (- @t187 @t280)))))
% 0.40/0.62  (step @p687 :rule arith_poly_norm_rel :premises (@p686) :args ((= (<= @t186 @t279) (<= @t187 @t280))))
% 0.40/0.62  (step @p688 :rule arith_mult_pos :args (2 (<= @t185 -1)))
% 0.40/0.62  (step @p689 :rule arith-elim-lt :args (@t185 1))
% 0.40/0.62  (step @p690 :rule symm :premises (@p689))
% 0.40/0.62  (step @p691 :rule eq_resolve :premises (@p993 @p690))
% 0.40/0.62  (step @p692 :rule int_tight_ub :premises (@p691))
% 0.40/0.62  (step @p299 :rule arith_poly_norm :args (@t199))
% 0.40/0.62  (step @p300 :rule arith_poly_norm_rel :premises (@p299) :args (@t200))
% 0.40/0.62  (step @p693 :rule cong :premises (@p300) :args ((not @t198)))
% 0.40/0.62  (step @p694 :rule symm :premises (@p693))
% 0.40/0.62  (step @p695 :rule eq_resolve :premises (@p992 @p694))
% 0.40/0.62  (step @p696 :rule arith_trichotomy :premises (@p695 @p692))
% 0.40/0.62  (step @p697 :rule int_tight_ub :premises (@p696))
% 0.40/0.62  (step @p293 :rule evaluate :args (@t197))
% 0.40/0.62  (step @p294 :rule true_elim :premises (@p293))
% 0.40/0.62  (step @p698 :rule and_intro :premises (@p294 @p697))
% 0.40/0.62  (step @p699 :rule modus_ponens :premises (@p698 @p688))
% 0.40/0.62  (step @p700 :rule eq_resolve :premises (@p699 @p687))
% 0.40/0.62  (step @p286 :rule arith_poly_norm :args (@t194))
% 0.40/0.62  (step @p701 :rule arith_poly_norm_rel :premises (@p286) :args (@t195))
% 0.40/0.62  (step @p288 :rule arith_mult_pos :args (2 @t196))
% 0.40/0.62  (step @p289 :rule arith-elim-lt :args (@t89 1))
% 0.40/0.62  (step @p290 :rule symm :premises (@p289))
% 0.40/0.62  (step @p702 :rule eq_resolve :premises (@p994 @p290))
% 0.40/0.62  (step @p703 :rule int_tight_ub :premises (@p702))
% 0.40/0.62  (step @p704 :rule and_intro :premises (@p294 @p703))
% 0.40/0.62  (step @p705 :rule modus_ponens :premises (@p704 @p288))
% 0.40/0.62  (step @p706 :rule eq_resolve :premises (@p705 @p701))
% 0.40/0.62  (assume-push @p1000 @t204)
% 0.40/0.62  (assume-push @p1001 @t79)
% 0.40/0.62  (step @p329 :rule arith_mult_pos :args (7/2 @t125))
% 0.40/0.62  (step @p330 :rule evaluate :args (@t94))
% 0.40/0.62  (step @p331 :rule cong :premises (@p1001) :args (@t115))
% 0.40/0.62  (step @p332 :rule trans :premises (@p331 @p330))
% 0.40/0.62  (step @p333 :rule and_intro :premises (@p1000 @p332))
% 0.40/0.62  (step @p334 :rule modus_ponens :premises (@p333 @p329))
% 0.40/0.62  (step-pop @p1002 :rule scope :premises (@p334))
% 0.40/0.62  (step-pop @p1003 :rule scope :premises (@p1002))
% 0.40/0.62  (step @p335 :rule process_scope :premises (@p1003) :args (@t205))
% 0.40/0.62  (step @p181 :rule symm :premises (@p70))
% 0.40/0.62  (step @p182 :rule eq_resolve :premises (@p89 @p181))
% 0.40/0.62  (step @p338 :rule evaluate :args (@t204))
% 0.40/0.62  (step @p339 :rule true_elim :premises (@p338))
% 0.40/0.62  (step @p340 :rule and_intro :premises (@p339 @p182))
% 0.40/0.62  (step @p341 :rule modus_ponens :premises (@p340 @p335))
% 0.40/0.62  (assume-push @p1004 @t202)
% 0.40/0.62  (assume-push @p1005 @t127)
% 0.40/0.62  (step @p314 :rule arith_mult_neg :args (-1267/2 @t128))
% 0.40/0.62  (step @p315 :rule evaluate :args (@t94))
% 0.40/0.62  (step @p316 :rule cong :premises (@p1005) :args (@t118))
% 0.40/0.62  (step @p317 :rule trans :premises (@p316 @p315))
% 0.40/0.62  (step @p318 :rule and_intro :premises (@p1004 @p317))
% 0.40/0.62  (step @p319 :rule modus_ponens :premises (@p318 @p314))
% 0.40/0.62  (step-pop @p1006 :rule scope :premises (@p319))
% 0.40/0.62  (step-pop @p1007 :rule scope :premises (@p1006))
% 0.40/0.62  (step @p320 :rule process_scope :premises (@p1007) :args (@t203))
% 0.40/0.62  (step @p198 :rule arith_poly_norm :args (@t129))
% 0.40/0.62  (step @p199 :rule arith_poly_norm_rel :premises (@p198) :args (@t130))
% 0.40/0.62  (step @p200 :rule symm :premises (@p199))
% 0.40/0.62  (step @p201 :rule eq_resolve :premises (@p68 @p200))
% 0.40/0.62  (step @p323 :rule evaluate :args (@t202))
% 0.40/0.62  (step @p324 :rule true_elim :premises (@p323))
% 0.40/0.62  (step @p325 :rule and_intro :premises (@p324 @p201))
% 0.40/0.62  (step @p326 :rule modus_ponens :premises (@p325 @p320))
% 0.40/0.62  (step @p306 :rule arith_mult_pos :args (56 @t87))
% 0.40/0.62  (step @p163 :rule symm :premises (@p91))
% 0.40/0.62  (step @p164 :rule eq_resolve :premises (@p113 @p163))
% 0.40/0.62  (step @p307 :rule evaluate :args (@t201))
% 0.40/0.62  (step @p308 :rule true_elim :premises (@p307))
% 0.40/0.62  (step @p309 :rule and_intro :premises (@p308 @p164))
% 0.40/0.62  (step @p310 :rule modus_ponens :premises (@p309 @p306))
% 0.40/0.62  (step @p715 :rule cong :premises (@p310) :args (@t188))
% 0.40/0.62  (step @p716 :rule evaluate :args (@t29))
% 0.40/0.62  (step @p717 :rule refl :args (@t246))
% 0.40/0.62  (step @p718 :rule cong :premises (@p717 @p716) :args (@t292))
% 0.40/0.62  (step @p719 :rule arith_poly_norm :args ((= (* -2/1 @t220) (* -2/1 (- @t246 @t29)))))
% 0.40/0.62  (step @p720 :rule arith_poly_norm_rel :premises (@p719) :args ((= @t276 @t292)))
% 0.40/0.62  (step @p721 :rule trans :premises (@p720 @p718))
% 0.40/0.62  (step @p722 :rule symm :premises (@p622))
% 0.40/0.62  (step @p723 :rule and_elim :premises (@p432) :args (1))
% 0.40/0.62  (step @p724 :rule eq_resolve :premises (@p723 @p722))
% 0.40/0.62  (step @p725 :rule eq_resolve :premises (@p724 @p721))
% 0.40/0.62  (step @p726 :rule arith_sum_ub :premises (@p725 @p715 @p326 @p341 @p706 @p700 @p685))
% 0.40/0.62  (step @p727 false :rule eq_resolve :premises (@p726 @p680))
% 0.40/0.62  (step-pop @p1008 :rule scope :premises (@p727))
% 0.40/0.62  (step @p728 :rule process_scope :premises (@p1008) :args (false))
% 0.40/0.62  (step @p730 :rule eq_resolve :premises (@p728 @p624))
% 0.40/0.62  (step @p731 :rule eq_resolve :premises (@p730 @p625))
% 0.40/0.62  (step @p722 :rule symm :premises (@p622))
% 0.40/0.62  (step @p732 :rule eq_resolve :premises (@p609 @p722))
% 0.40/0.62  (step @p733 false :rule contra :premises (@p732 @p731))
% 0.40/0.62  (step-pop @p1009 :rule scope :premises (@p733))
% 0.40/0.62  (step-pop @p1010 :rule scope :premises (@p1009))
% 0.40/0.62  (step-pop @p1011 :rule scope :premises (@p1010))
% 0.40/0.62  (step-pop @p1012 :rule scope :premises (@p1011))
% 0.40/0.62  (step-pop @p1013 :rule scope :premises (@p1012))
% 0.40/0.62  (step-pop @p1014 :rule scope :premises (@p1013))
% 0.40/0.62  (step-pop @p1015 :rule scope :premises (@p1014))
% 0.40/0.62  (step-pop @p1016 :rule scope :premises (@p1015))
% 0.40/0.62  (step @p734 :rule process_scope :premises (@p1016) :args (false))
% 0.40/0.62  (assume-push @p1017 @t67)
% 0.40/0.62  (assume-push @p1018 @t78)
% 0.40/0.62  (assume-push @p1019 @t86)
% 0.40/0.62  (assume-push @p1020 @t217)
% 0.40/0.62  (assume-push @p1021 @t275)
% 0.40/0.62  (assume-push @p1022 @t147)
% 0.40/0.62  (assume-push @p1023 @t133)
% 0.40/0.62  (assume-push @p1024 @t274)
% 0.40/0.62  (step @p751 :rule and_intro :premises (@p1020 @p1022 @p1024 @p1023 @p89 @p68 @p113 @p609))
% 0.40/0.62  (step-pop @p1025 :rule scope :premises (@p751))
% 0.40/0.62  (step-pop @p1026 :rule scope :premises (@p1025))
% 0.40/0.62  (step-pop @p1027 :rule scope :premises (@p1026))
% 0.40/0.62  (step-pop @p1028 :rule scope :premises (@p1027))
% 0.40/0.62  (step-pop @p1029 :rule scope :premises (@p1028))
% 0.40/0.62  (step-pop @p1030 :rule scope :premises (@p1029))
% 0.40/0.62  (step-pop @p1031 :rule scope :premises (@p1030))
% 0.40/0.62  (step-pop @p1032 :rule scope :premises (@p1031))
% 0.40/0.62  (step @p752 :rule process_scope :premises (@p1032) :args (@t293))
% 0.40/0.62  (step @p761 :rule implies_elim :premises (@p752))
% 0.40/0.62  (step @p762 :rule resolution :premises (@p761 @p734) :args (true @t293))
% 0.40/0.62  (step @p763 :rule not_and :premises (@p762))
% 0.40/0.62  (step @p764 :rule eq_resolve :premises (@p763 @p613))
% 0.40/0.62  (step @p765 :rule reordering :premises (@p764) :args ((or @t146 @t224 @t136 @t135 @t134 @t234 @t90 @t273)))
% 0.40/0.62  (step @p766 :rule refl :args (@t274))
% 0.40/0.62  (step @p767 :rule bool-double-not-elim :args (@t294))
% 0.40/0.62  (step @p768 :rule nary_cong :premises (@p435 @p767 @p434 @p766) :args ((or @t234 @t296 @t233 @t274)))
% 0.40/0.62  (assume-push @p1033 @t217)
% 0.40/0.62  (assume-push @p1034 @t273)
% 0.40/0.62  (assume-push @p1035 @t231)
% 0.40/0.62  (assume-push @p1036 @t295)
% 0.40/0.62  (step @p773 :rule arith-elim-lt :args (@t48 1))
% 0.40/0.62  (step @p774 :rule cong :premises (@p773) :args (@t298))
% 0.40/0.62  (step @p775 :rule trans :premises (@p774 @p767))
% 0.40/0.62  (step @p776 :rule symm :premises (@p775))
% 0.40/0.62  (assume-push @p1037 @t297)
% 0.40/0.62  (step @p262 :rule evaluate :args (@t152))
% 0.40/0.62  (step @p778 :rule evaluate :args ((>= 0 -1)))
% 0.40/0.62  (step @p779 :rule evaluate :args ((+ 1 0 -2 0)))
% 0.40/0.62  (step @p266 :rule evaluate :args (@t154))
% 0.40/0.62  (step @p126 :rule evaluate :args (@t92))
% 0.40/0.62  (step @p780 :rule evaluate :args (@t299))
% 0.40/0.62  (step @p781 :rule refl :args (1))
% 0.40/0.62  (step @p782 :rule nary_cong :premises (@p781 @p780 @p126 @p266) :args (@t300))
% 0.40/0.62  (step @p783 :rule trans :premises (@p782 @p779))
% 0.40/0.62  (step @p784 :rule arith_poly_norm :args ((= (+ @t282 @t218 @t47 @t109 0 0) 0)))
% 0.40/0.62  (step @p449 :rule arith_poly_norm :args (@t242))
% 0.40/0.62  (step @p660 :rule arith_poly_norm :args (@t286))
% 0.40/0.62  (step @p785 :rule refl :args (@t109))
% 0.40/0.62  (step @p786 :rule refl :args (@t47))
% 0.40/0.62  (step @p787 :rule refl :args (@t218))
% 0.40/0.62  (step @p788 :rule refl :args (@t282))
% 0.40/0.62  (step @p789 :rule nary_cong :premises (@p788 @p787 @p786 @p785 @p660 @p449) :args (@t301))
% 0.40/0.62  (step @p790 :rule trans :premises (@p789 @p784))
% 0.40/0.62  (step @p791 :rule arith_poly_norm :args ((= @t303 @t301)))
% 0.40/0.62  (step @p792 :rule trans :premises (@p791 @p790))
% 0.40/0.62  (step @p793 :rule cong :premises (@p792 @p783) :args (@t304))
% 0.40/0.62  (step @p794 :rule trans :premises (@p793 @p778))
% 0.40/0.62  (step @p795 :rule cong :premises (@p794) :args ((not @t304)))
% 0.40/0.62  (step @p796 :rule trans :premises (@p795 @p262))
% 0.40/0.62  (step @p797 :rule arith-elim-lt :args (@t303 @t300))
% 0.40/0.62  (step @p798 :rule trans :premises (@p797 @p796))
% 0.40/0.62  (step @p799 :rule arith_mult_pos :args (2 @t236))
% 0.40/0.62  (step @p510 :rule arith_poly_norm :args (@t254))
% 0.40/0.62  (step @p511 :rule arith_poly_norm_rel :premises (@p510) :args (@t255))
% 0.40/0.62  (step @p512 :rule symm :premises (@p511))
% 0.40/0.62  (step @p800 :rule eq_resolve :premises (@p1033 @p512))
% 0.40/0.62  (step @p293 :rule evaluate :args (@t197))
% 0.40/0.62  (step @p294 :rule true_elim :premises (@p293))
% 0.40/0.62  (step @p801 :rule and_intro :premises (@p294 @p800))
% 0.40/0.62  (step @p802 :rule modus_ponens :premises (@p801 @p799))
% 0.40/0.62  (step @p803 :rule arith_mult_neg :args (-2 @t273))
% 0.40/0.62  (step @p157 :rule evaluate :args (@t123))
% 0.40/0.62  (step @p158 :rule true_elim :premises (@p157))
% 0.40/0.62  (step @p804 :rule and_intro :premises (@p158 @p1034))
% 0.40/0.62  (step @p805 :rule modus_ponens :premises (@p804 @p803))
% 0.40/0.62  (step @p806 :rule arith_mult_neg :args (-1 @t231))
% 0.40/0.62  (step @p209 :rule evaluate :args (@t131))
% 0.40/0.62  (step @p210 :rule true_elim :premises (@p209))
% 0.40/0.62  (step @p807 :rule and_intro :premises (@p210 @p433))
% 0.40/0.62  (step @p808 :rule modus_ponens :premises (@p807 @p806))
% 0.40/0.62  (step @p809 :rule symm :premises (@p773))
% 0.40/0.62  (step @p810 :rule and_elim :premises (@p37) :args (0))
% 0.40/0.62  (step @p811 :rule eq_resolve :premises (@p810 @p809))
% 0.40/0.62  (step @p812 :rule arith_sum_ub :premises (@p811 @p808 @p805 @p802))
% 0.40/0.62  (step @p813 false :rule eq_resolve :premises (@p812 @p798))
% 0.40/0.62  (step-pop @p1038 :rule scope :premises (@p813))
% 0.40/0.62  (step @p814 :rule process_scope :premises (@p1038) :args (false))
% 0.40/0.62  (step @p816 :rule eq_resolve :premises (@p814 @p775))
% 0.40/0.62  (step @p817 :rule eq_resolve :premises (@p816 @p776))
% 0.40/0.62  (step @p809 :rule symm :premises (@p773))
% 0.40/0.62  (step @p818 :rule eq_resolve :premises (@p38 @p809))
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% 0.40/0.62  (step-pop @p1039 :rule scope :premises (@p819))
% 0.40/0.62  (step-pop @p1040 :rule scope :premises (@p1039))
% 0.40/0.62  (step-pop @p1041 :rule scope :premises (@p1040))
% 0.40/0.62  (step-pop @p1042 :rule scope :premises (@p1041))
% 0.40/0.62  (step @p820 :rule process_scope :premises (@p1042) :args (false))
% 0.40/0.62  (assume-push @p1043 @t217)
% 0.40/0.62  (assume-push @p1044 @t295)
% 0.40/0.62  (assume-push @p1045 @t231)
% 0.40/0.62  (assume-push @p1046 @t273)
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% 0.40/0.62  (step-pop @p1047 :rule scope :premises (@p829))
% 0.40/0.62  (step-pop @p1048 :rule scope :premises (@p1047))
% 0.40/0.62  (step-pop @p1049 :rule scope :premises (@p1048))
% 0.40/0.62  (step-pop @p1050 :rule scope :premises (@p1049))
% 0.40/0.62  (step @p830 :rule process_scope :premises (@p1050) :args (@t305))
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% 0.40/0.62  (step @p839 :rule reordering :premises (@p838) :args ((or @t294 @t234 @t233 @t274)))
% 0.40/0.62  (step @p840 :rule chain_m_resolution :premises (@p839 @p433 @p38 @p765 @p243 @p609 @p113 @p89 @p68 @p411 @p409) :args (@t146 (@list false true false true true false false false false false) (@list @t231 @t294 @t273 @t90 @t224 @t86 @t78 @t67 @t217 @t140)))
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% 0.40/0.62  (step @p842 :rule nary_cong :premises (@p246 @p767 @p841) :args ((or @t147 @t296 @t306)))
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% 0.40/0.62  (assume-push @p1052 @t146)
% 0.40/0.62  (assume-push @p1053 @t295)
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% 0.40/0.62  (step @p774 :rule cong :premises (@p773) :args (@t298))
% 0.40/0.62  (step @p775 :rule trans :premises (@p774 @p767))
% 0.40/0.62  (step @p776 :rule symm :premises (@p775))
% 0.40/0.62  (assume-push @p1054 @t297)
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% 0.40/0.62  (step @p847 :rule evaluate :args ((>= 0 0)))
% 0.40/0.62  (step @p848 :rule evaluate :args ((+ 1 0 -1)))
% 0.40/0.62  (step @p849 :rule evaluate :args (@t307))
% 0.40/0.62  (step @p629 :rule evaluate :args (@t277))
% 0.40/0.62  (step @p781 :rule refl :args (1))
% 0.40/0.62  (step @p850 :rule nary_cong :premises (@p781 @p629 @p849) :args (@t308))
% 0.40/0.62  (step @p851 :rule trans :premises (@p850 @p848))
% 0.40/0.62  (step @p852 :rule arith_poly_norm :args ((= (+ @t175 @t47 @t109 @t143 0) 0)))
% 0.40/0.62  (step @p449 :rule arith_poly_norm :args (@t242))
% 0.40/0.62  (step @p853 :rule refl :args (@t143))
% 0.40/0.62  (step @p785 :rule refl :args (@t109))
% 0.40/0.62  (step @p786 :rule refl :args (@t47))
% 0.40/0.62  (step @p854 :rule refl :args (@t175))
% 0.40/0.62  (step @p855 :rule nary_cong :premises (@p854 @p786 @p785 @p853 @p449) :args (@t309))
% 0.40/0.62  (step @p856 :rule trans :premises (@p855 @p852))
% 0.40/0.62  (step @p857 :rule arith_poly_norm :args ((= @t310 @t309)))
% 0.40/0.62  (step @p858 :rule trans :premises (@p857 @p856))
% 0.40/0.62  (step @p859 :rule cong :premises (@p858 @p851) :args (@t311))
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% 0.40/0.62  (step @p864 :rule trans :premises (@p863 @p862))
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% 0.40/0.62  (step @p209 :rule evaluate :args (@t131))
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% 0.40/0.62  (step @p866 :rule and_intro :premises (@p210 @p1051))
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% 0.40/0.62  (step @p299 :rule arith_poly_norm :args (@t199))
% 0.40/0.62  (step @p300 :rule arith_poly_norm_rel :premises (@p299) :args (@t200))
% 0.40/0.62  (step @p301 :rule symm :premises (@p300))
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% 0.40/0.62  (step @p157 :rule evaluate :args (@t123))
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% 0.40/0.62  (step @p809 :rule symm :premises (@p773))
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% 0.40/0.62  (step @p874 :rule process_scope :premises (@p1055) :args (false))
% 0.40/0.62  (step @p876 :rule eq_resolve :premises (@p874 @p775))
% 0.40/0.62  (step @p877 :rule eq_resolve :premises (@p876 @p776))
% 0.40/0.62  (step @p809 :rule symm :premises (@p773))
% 0.40/0.62  (step @p818 :rule eq_resolve :premises (@p38 @p809))
% 0.40/0.62  (step @p878 false :rule contra :premises (@p818 @p877))
% 0.40/0.62  (step-pop @p1056 :rule scope :premises (@p878))
% 0.40/0.62  (step-pop @p1057 :rule scope :premises (@p1056))
% 0.40/0.62  (step-pop @p1058 :rule scope :premises (@p1057))
% 0.40/0.62  (step @p879 :rule process_scope :premises (@p1058) :args (false))
% 0.40/0.62  (assume-push @p1059 @t146)
% 0.40/0.62  (assume-push @p1060 @t295)
% 0.40/0.62  (assume-push @p1061 @t268)
% 0.40/0.62  (step @p886 :rule and_intro :premises (@p1061 @p1059 @p38))
% 0.40/0.62  (step-pop @p1062 :rule scope :premises (@p886))
% 0.40/0.62  (step-pop @p1063 :rule scope :premises (@p1062))
% 0.40/0.62  (step-pop @p1064 :rule scope :premises (@p1063))
% 0.40/0.62  (step @p887 :rule process_scope :premises (@p1064) :args (@t312))
% 0.40/0.62  (step @p891 :rule implies_elim :premises (@p887))
% 0.40/0.62  (step @p892 :rule resolution :premises (@p891 @p879) :args (true @t312))
% 0.40/0.62  (step @p893 :rule not_and :premises (@p892))
% 0.40/0.62  (step @p894 :rule eq_resolve :premises (@p893 @p842))
% 0.40/0.62  (step @p895 :rule reordering :premises (@p894) :args ((or @t294 @t147 @t306)))
% 0.40/0.62  (step @p896 false :rule chain_m_resolution :premises (@p895 @p840 @p608 @p38) :args (false (@list false false true) (@list @t146 @t268 @t294)))
% 0.40/0.62  )
% 0.40/0.62  % SZS output end Proof
% 0.40/0.62  % cvc5 exiting
%------------------------------------------------------------------------------