↑ Up

cvc5---1.3.4.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : DAT047_1 : TPTP v9.2.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 08:14:25 AM UTC 2026

% Result   : Theorem 0.72s 0.98s
% Output   : Proof 0.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : DAT047_1 : TPTP v9.2.1. Released v5.0.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.25  % Computer : n012.cluster.edu
% 0.07/0.25  % Model    : x86_64 x86_64
% 0.07/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25  % Memory   : 8042.1875MB
% 0.07/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25  % CPULimit : 300
% 0.07/0.25  % WCLimit  : 300
% 0.07/0.25  % DateTime : Mon Jun  1 22:27:03 EDT 2026
% 0.07/0.25  % CPUTime  : 
% 0.15/0.33  %----Proving TF0_ARI
% 0.72/0.98  --- Run --finite-model-find --decision=internal at 45...
% 0.72/0.98  % SZS status Theorem
% 0.72/0.98  % SZS output start Proof
% 0.72/0.98  (
% 0.72/0.98  (declare-sort tptp.collection 0)
% 0.72/0.98  (declare-const tptp.count (-> tptp.collection Int))
% 0.72/0.98  (declare-const tptp.remove (-> Int tptp.collection tptp.collection))
% 0.72/0.98  (declare-const tptp.add (-> Int tptp.collection tptp.collection))
% 0.72/0.98  (declare-const tptp.in (-> Int tptp.collection Bool))
% 0.72/0.98  (declare-const tptp.empty tptp.collection)
% 0.72/0.98  (define @t1 () (@var "U" Int))
% 0.72/0.98  (define @t2 () (@var "W" tptp.collection))
% 0.72/0.98  (define @t3 () (@var "V" Int))
% 0.72/0.98  (define @t4 () (@var "Y" tptp.collection))
% 0.72/0.98  (define @t5 () (@var "X" Int))
% 0.72/0.98  (define @t6 () (@var "X1" tptp.collection))
% 0.72/0.98  (define @t7 () (@var "X2" Int))
% 0.72/0.98  (define @t8 () (@var "Z" Int))
% 0.72/0.98  (define @t9 () (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6)))))
% 0.72/0.98  (define @t10 () (@var "X4" tptp.collection))
% 0.72/0.98  (define @t11 () (@var "X5" Int))
% 0.72/0.98  (define @t12 () (@var "X3" Int))
% 0.72/0.98  (define @t13 () (forall (@list @t12 @t10 @t11) (= (and (tptp.in @t12 @t10) (not (= @t12 @t11))) (tptp.in @t12 (tptp.remove @t11 @t10)))))
% 0.72/0.98  (define @t14 () (@var "X6" tptp.collection))
% 0.72/0.98  (define @t15 () (@var "X7" tptp.collection))
% 0.72/0.98  (define @t16 () (= (tptp.count @t15) 0))
% 0.72/0.98  (define @t17 () (= (= @t15 tptp.empty) @t16))
% 0.72/0.98  (define @t18 () (@list @t15))
% 0.72/0.98  (define @t19 () (forall @t18 @t17))
% 0.72/0.98  (define @t20 () (@var "X9" tptp.collection))
% 0.72/0.98  (define @t21 () (tptp.count @t20))
% 0.72/0.98  (define @t22 () (+ @t21 1))
% 0.72/0.98  (define @t23 () (@var "X8" Int))
% 0.72/0.98  (define @t24 () (tptp.count (tptp.add @t23 @t20)))
% 0.72/0.98  (define @t25 () (= @t24 @t22))
% 0.72/0.98  (define @t26 () (not (tptp.in @t23 @t20)))
% 0.72/0.98  (define @t27 () (= @t26 @t25))
% 0.72/0.98  (define @t28 () (@list @t23 @t20))
% 0.72/0.98  (define @t29 () (forall @t28 @t27))
% 0.72/0.98  (define @t30 () (@var "X11" tptp.collection))
% 0.72/0.98  (define @t31 () (@var "X10" Int))
% 0.72/0.98  (define @t32 () (@var "X13" tptp.collection))
% 0.72/0.98  (define @t33 () (tptp.count @t32))
% 0.72/0.98  (define @t34 () (- @t33 1))
% 0.72/0.98  (define @t35 () (@var "X12" Int))
% 0.72/0.98  (define @t36 () (tptp.count (tptp.remove @t35 @t32)))
% 0.72/0.98  (define @t37 () (= @t36 @t34))
% 0.72/0.98  (define @t38 () (tptp.in @t35 @t32))
% 0.72/0.98  (define @t39 () (= @t38 @t37))
% 0.72/0.98  (define @t40 () (@list @t35 @t32))
% 0.72/0.98  (define @t41 () (forall @t40 @t39))
% 0.72/0.98  (define @t42 () (@var "X15" tptp.collection))
% 0.72/0.98  (define @t43 () (@var "X14" Int))
% 0.72/0.98  (define @t44 () (forall (@list @t43 @t42) (= (not (tptp.in @t43 @t42)) (= (tptp.count (tptp.remove @t43 @t42)) (tptp.count @t42)))))
% 0.72/0.98  (define @t45 () (@var "X17" tptp.collection))
% 0.72/0.98  (define @t46 () (@var "X16" Int))
% 0.72/0.98  (define @t47 () (tptp.add 3 tptp.empty))
% 0.72/0.98  (define @t48 () (tptp.remove 3 @t47))
% 0.72/0.98  (define @t49 () (tptp.add 5 @t48))
% 0.72/0.98  (define @t50 () (tptp.count @t49))
% 0.72/0.98  (define @t51 () (= @t50 1))
% 0.72/0.98  (define @t52 () (not @t51))
% 0.72/0.98  (define @t53 () (= tptp.empty @t15))
% 0.72/0.98  (define @t54 () (tptp.count tptp.empty))
% 0.72/0.98  (define @t55 () (= @t54 0))
% 0.72/0.98  (define @t56 () (= @t55 (= tptp.empty tptp.empty)))
% 0.72/0.98  (define @t57 () (forall @t18 (= @t16 @t53)))
% 0.72/0.98  (define @t58 () (@list false))
% 0.72/0.98  (define @t59 () (@list @t57))
% 0.72/0.98  (define @t60 () (+ 1 @t21))
% 0.72/0.98  (define @t61 () (tptp.count @t47))
% 0.72/0.98  (define @t62 () (+ -1 @t61))
% 0.72/0.98  (define @t63 () (- @t54 @t62))
% 0.72/0.98  (define @t64 () (+ 1 @t54))
% 0.72/0.98  (define @t65 () (= @t54 @t62))
% 0.72/0.98  (define @t66 () (= @t61 @t64))
% 0.72/0.98  (define @t67 () (tptp.in 3 tptp.empty))
% 0.72/0.98  (define @t68 () (not @t67))
% 0.72/0.98  (define @t69 () (= @t68 @t66))
% 0.72/0.98  (define @t70 () (forall @t28 (= @t26 (= @t24 @t60))))
% 0.72/0.98  (define @t71 () (= @t68 @t65))
% 0.72/0.98  (define @t72 () (@list @t70))
% 0.72/0.98  (define @t73 () (not @t71))
% 0.72/0.98  (define @t74 () (@list true false))
% 0.72/0.98  (define @t75 () (tptp.remove 0 tptp.empty))
% 0.72/0.98  (define @t76 () (tptp.count @t75))
% 0.72/0.98  (define @t77 () (= @t54 @t76))
% 0.72/0.98  (define @t78 () (= @t76 @t54))
% 0.72/0.98  (define @t79 () (tptp.in 0 tptp.empty))
% 0.72/0.98  (define @t80 () (not @t79))
% 0.72/0.98  (define @t81 () (= @t80 @t78))
% 0.72/0.98  (define @t82 () (= @t80 @t77))
% 0.72/0.98  (define @t83 () (not @t82))
% 0.72/0.98  (define @t84 () (= tptp.empty @t75))
% 0.72/0.98  (define @t85 () (= @t76 0))
% 0.72/0.98  (define @t86 () (= @t85 @t84))
% 0.72/0.98  (define @t87 () (@list false false))
% 0.72/0.98  (define @t88 () (tptp.count @t48))
% 0.72/0.98  (define @t89 () (tptp.add 3 @t75))
% 0.72/0.98  (define @t90 () (tptp.remove 3 @t89))
% 0.72/0.98  (define @t91 () (tptp.in 5 @t90))
% 0.72/0.98  (define @t92 () (tptp.in 5 @t89))
% 0.72/0.98  (define @t93 () (= 5 3))
% 0.72/0.98  (define @t94 () (not @t93))
% 0.72/0.98  (define @t95 () (and @t92 @t94))
% 0.72/0.98  (define @t96 () (= @t95 @t91))
% 0.72/0.98  (define @t97 () (= @t92 @t91))
% 0.72/0.98  (define @t98 () (tptp.in 5 @t47))
% 0.72/0.98  (define @t99 () (tptp.in 5 tptp.empty))
% 0.72/0.98  (define @t100 () (or @t99 @t93))
% 0.72/0.98  (define @t101 () (= @t100 @t98))
% 0.72/0.98  (define @t102 () (= @t99 @t98))
% 0.72/0.98  (define @t103 () (@list @t9))
% 0.72/0.98  (define @t104 () (not @t98))
% 0.72/0.98  (define @t105 () (not @t91))
% 0.72/0.98  (define @t106 () (tptp.count @t90))
% 0.72/0.98  (define @t107 () (tptp.count (tptp.remove 5 @t90)))
% 0.72/0.98  (define @t108 () (= @t107 @t106))
% 0.72/0.98  (define @t109 () (= @t105 @t108))
% 0.72/0.98  (define @t110 () (not @t109))
% 0.72/0.98  (define @t111 () (@list @t91 @t109))
% 0.72/0.98  (define @t112 () (tptp.remove 5 @t48))
% 0.72/0.98  (define @t113 () (tptp.count @t112))
% 0.72/0.98  (define @t114 () (+ -1 @t33))
% 0.72/0.98  (define @t115 () (* -1 1))
% 0.72/0.98  (define @t116 () (+ @t33 @t115))
% 0.72/0.98  (define @t117 () (+ 1 @t106))
% 0.72/0.98  (define @t118 () (tptp.count @t89))
% 0.72/0.98  (define @t119 () (- @t118 @t117))
% 0.72/0.98  (define @t120 () (+ -1 @t118))
% 0.72/0.98  (define @t121 () (= @t118 @t117))
% 0.72/0.98  (define @t122 () (= @t106 @t120))
% 0.72/0.98  (define @t123 () (tptp.in 3 @t89))
% 0.72/0.98  (define @t124 () (= @t123 @t122))
% 0.72/0.98  (define @t125 () (forall @t40 (= @t38 (= @t36 @t114))))
% 0.72/0.98  (define @t126 () (= @t123 @t121))
% 0.72/0.98  (define @t127 () (tptp.in 3 @t47))
% 0.72/0.98  (define @t128 () (= 3 3))
% 0.72/0.98  (define @t129 () (or @t67 @t128))
% 0.72/0.98  (define @t130 () (= @t129 @t127))
% 0.72/0.98  (define @t131 () (* -1 @t88))
% 0.72/0.98  (define @t132 () (+ @t61 @t131))
% 0.72/0.98  (define @t133 () (>= @t132 1))
% 0.72/0.98  (define @t134 () (= @t88 @t106))
% 0.72/0.98  (define @t135 () (not @t134))
% 0.72/0.98  (define @t136 () (= @t61 @t118))
% 0.72/0.98  (define @t137 () (not @t136))
% 0.72/0.98  (define @t138 () (not @t121))
% 0.72/0.98  (define @t139 () (not @t133))
% 0.72/0.98  (define @t140 () (not true))
% 0.72/0.98  (define @t141 () (>= 0 0))
% 0.72/0.98  (define @t142 () (* -1 0))
% 0.72/0.98  (define @t143 () (+ 1 @t115 @t142 0))
% 0.72/0.98  (define @t144 () (* -1 @t118))
% 0.72/0.98  (define @t145 () (* 0 @t61))
% 0.72/0.98  (define @t146 () (* 0 @t106))
% 0.72/0.98  (define @t147 () (= @t146 0))
% 0.72/0.98  (define @t148 () (+ @t146 @t131 @t118 @t88 @t144 @t145))
% 0.72/0.98  (define @t149 () (* -1 @t106))
% 0.72/0.98  (define @t150 () (+ @t88 @t149))
% 0.72/0.98  (define @t151 () (+ @t61 @t144))
% 0.72/0.98  (define @t152 () (+ @t118 @t149))
% 0.72/0.98  (define @t153 () (+ @t132 (* -1 @t152) (* -1 @t151) @t150))
% 0.72/0.98  (define @t154 () (>= @t153 @t143))
% 0.72/0.98  (define @t155 () (= (* 1 (- @t150 0)) (* 1 (- @t88 @t106))))
% 0.72/0.98  (define @t156 () (= @t150 0))
% 0.72/0.98  (define @t157 () (= @t156 @t134))
% 0.72/0.98  (define @t158 () (= @t151 0))
% 0.72/0.98  (define @t159 () (= (* 1 (- @t151 0)) (* 1 (- @t61 @t118))))
% 0.72/0.98  (define @t160 () (= @t158 @t136))
% 0.72/0.98  (define @t161 () (< -1 0))
% 0.72/0.98  (define @t162 () (= @t152 1))
% 0.72/0.98  (define @t163 () (= (* -1 (- @t152 1)) (* -1 @t119)))
% 0.72/0.98  (define @t164 () (= @t162 @t121))
% 0.72/0.98  (define @t165 () (>= @t113 0))
% 0.72/0.98  (define @t166 () (= @t113 @t88))
% 0.72/0.98  (define @t167 () (not @t166))
% 0.72/0.98  (define @t168 () (not @t55))
% 0.72/0.98  (define @t169 () (not @t65))
% 0.72/0.98  (define @t170 () (not @t165))
% 0.72/0.98  (define @t171 () (+ 0 1 0 -1 @t142 @t142 @t142))
% 0.72/0.98  (define @t172 () (* -1 @t54))
% 0.72/0.98  (define @t173 () (* -1 @t61))
% 0.72/0.98  (define @t174 () (* 0 @t113))
% 0.72/0.98  (define @t175 () (+ @t146 @t88 @t144 @t131 @t174 @t118 @t173 @t61 @t172 @t54))
% 0.72/0.98  (define @t176 () (+ @t113 @t131))
% 0.72/0.98  (define @t177 () (+ @t54 @t173))
% 0.72/0.98  (define @t178 () (+ @t113 @t152 @t151 @t177 @t172 (* -1 @t150) (* -1 @t176)))
% 0.72/0.98  (define @t179 () (>= @t178 @t171))
% 0.72/0.98  (define @t180 () (= @t176 0))
% 0.72/0.98  (define @t181 () (= (* 1 (- @t176 0)) (* 1 (- @t113 @t88))))
% 0.72/0.98  (define @t182 () (= @t180 @t166))
% 0.72/0.98  (define @t183 () (= (* 1 (- @t177 -1)) (* 1 @t63)))
% 0.72/0.98  (define @t184 () (= @t177 -1))
% 0.72/0.98  (define @t185 () (= @t184 @t65))
% 0.72/0.98  (define @t186 () (= @t88 0))
% 0.72/0.98  (define @t187 () (= tptp.empty @t48))
% 0.72/0.98  (define @t188 () (= @t186 @t187))
% 0.72/0.98  (define @t189 () (= @t187 @t186))
% 0.72/0.98  (define @t190 () (tptp.add 5 tptp.empty))
% 0.72/0.98  (define @t191 () (tptp.count @t190))
% 0.72/0.98  (define @t192 () (+ -1 @t191))
% 0.72/0.98  (define @t193 () (- @t54 @t192))
% 0.72/0.98  (define @t194 () (= @t54 @t192))
% 0.72/0.98  (define @t195 () (= @t191 @t64))
% 0.72/0.98  (define @t196 () (not @t99))
% 0.72/0.98  (define @t197 () (= @t196 @t195))
% 0.72/0.98  (define @t198 () (= @t196 @t194))
% 0.72/0.98  (define @t199 () (not @t198))
% 0.72/0.98  (define @t200 () (>= @t50 2))
% 0.72/0.98  (define @t201 () (= @t50 @t191))
% 0.72/0.98  (define @t202 () (* -1 @t191))
% 0.72/0.98  (define @t203 () (+ @t50 @t202))
% 0.72/0.98  (define @t204 () (= @t203 0))
% 0.72/0.98  (define @t205 () (<= 0 -1))
% 0.72/0.98  (define @t206 () (* -1 2))
% 0.72/0.98  (define @t207 () (* -1 -1))
% 0.72/0.98  (define @t208 () (+ 0 @t207 0 @t206))
% 0.72/0.98  (define @t209 () (* -1 @t50))
% 0.72/0.98  (define @t210 () (* 0 @t54))
% 0.72/0.98  (define @t211 () (= @t210 0))
% 0.72/0.98  (define @t212 () (* 0 @t191))
% 0.72/0.98  (define @t213 () (= @t212 0))
% 0.72/0.98  (define @t214 () (+ @t209 @t212 @t210 @t50))
% 0.72/0.98  (define @t215 () (+ @t54 @t202))
% 0.72/0.98  (define @t216 () (* -1 @t215))
% 0.72/0.98  (define @t217 () (+ @t203 @t216 @t54 @t209))
% 0.72/0.98  (define @t218 () (= @t215 -1))
% 0.72/0.98  (define @t219 () (= (* 1 (- @t215 -1)) (* 1 @t193)))
% 0.72/0.98  (define @t220 () (= @t218 @t194))
% 0.72/0.98  (define @t221 () (= (* 1 (- @t203 0)) (* 1 (- @t50 @t191))))
% 0.72/0.98  (define @t222 () (= @t204 @t201))
% 0.72/0.98  (define @t223 () (= @t49 @t190))
% 0.72/0.98  (define @t224 () (and @t200 @t55 @t194 @t201))
% 0.72/0.98  (define @t225 () (not @t223))
% 0.72/0.98  (define @t226 () (>= @t215 0))
% 0.72/0.98  (define @t227 () (+ @t142 -1))
% 0.72/0.98  (define @t228 () (+ @t212 @t210))
% 0.72/0.98  (define @t229 () (+ @t216 @t215))
% 0.72/0.98  (define @t230 () (not @t226))
% 0.72/0.98  (define @t231 () (>= @t50 1))
% 0.72/0.98  (define @t232 () (not @t231))
% 0.72/0.98  (define @t233 () (+ @t142 0 @t142 0))
% 0.72/0.98  (define @t234 () (* 0 @t50))
% 0.72/0.98  (define @t235 () (+ @t212 @t172 @t54 @t234))
% 0.72/0.98  (define @t236 () (+ (* -1 @t203) @t215 @t172 @t50))
% 0.72/0.98  (define @t237 () (>= @t236 @t233))
% 0.72/0.98  (define @t238 () (and @t232 @t55 @t230 @t201))
% 0.72/0.98  (define @t239 () (and @t52 @t231))
% 0.72/0.98  (define @t240 () (tptp.add 5 @t75))
% 0.72/0.98  (define @t241 () (= @t49 @t240))
% 0.72/0.98  (define @t242 () (not @t241))
% 0.72/0.98  (define @t243 () (not @t84))
% 0.72/0.98  (define @t244 () (and @t84 @t225))
% 0.72/0.98  (define @t245 () (and @t187 @t84))
% 0.72/0.98  (define @t246 () (not @t186))
% 0.72/0.98  (define @t247 () (>= @t113 1))
% 0.72/0.98  (define @t248 () (not @t108))
% 0.72/0.98  (define @t249 () (not @t247))
% 0.72/0.98  (define @t250 () (= 0 @t113))
% 0.72/0.98  (define @t251 () (not @t250))
% 0.72/0.98  (define @t252 () (= @t113 0))
% 0.72/0.98  (define @t253 () (and @t84 @t108 @t246 @t249))
% 0.72/0.98  (define @t254 () (+ @t115 0 @t115 @t207 0))
% 0.72/0.98  (define @t255 () (* -1 @t113))
% 0.72/0.98  (define @t256 () (* 0 @t88))
% 0.72/0.98  (define @t257 () (+ @t255 @t256 @t113 @t61 @t173 @t210))
% 0.72/0.98  (define @t258 () (+ @t255 @t176 (* -1 @t132) (* -1 @t177) @t54))
% 0.72/0.98  (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty))))
% 0.72/0.98  (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2))))
% 0.72/0.98  (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4)))))
% 0.72/0.98  (assume @p4 @t9)
% 0.72/0.98  (assume @p5 @t13)
% 0.72/0.98  (assume @p6 (forall (@list @t14) (>= (tptp.count @t14) 0)))
% 0.72/0.98  (assume @p7 @t19)
% 0.72/0.98  (assume @p8 @t29)
% 0.72/0.98  (assume @p9 (forall (@list @t31 @t30) (= (tptp.in @t31 @t30) (= (tptp.count (tptp.add @t31 @t30)) (tptp.count @t30)))))
% 0.72/0.98  (assume @p10 @t41)
% 0.72/0.98  (assume @p11 @t44)
% 0.72/0.98  (assume @p12 (forall (@list @t46 @t45) (=> (tptp.in @t46 @t45) (= @t45 (tptp.add @t46 (tptp.remove @t46 @t45))))))
% 0.72/0.98  (assume @p13 @t52)
% 0.72/0.98  (assume @p14 true)
% 0.72/0.98  (step @p15 :rule eq-symm :args (@t53 @t16))
% 0.72/0.98  (step @p16 :rule refl :args (@t16))
% 0.72/0.98  (step @p17 :rule eq-symm :args (@t15 tptp.empty))
% 0.72/0.98  (step @p18 :rule cong :premises (@p17 @p16) :args (@t17))
% 0.72/0.98  (step @p19 :rule trans :premises (@p18 @p15))
% 0.72/0.98  (step @p20 :rule cong :premises (@p19) :args (@t19))
% 0.72/0.98  (step @p21 :rule eq_resolve :premises (@p7 @p20))
% 0.72/0.98  (step @p22 :rule bool-eq-true :args (@t55))
% 0.72/0.98  (step @p23 :rule eq-refl :args (tptp.empty))
% 0.72/0.98  (step @p24 :rule refl :args (@t55))
% 0.72/0.98  (step @p25 :rule cong :premises (@p24 @p23) :args (@t56))
% 0.72/0.98  (step @p26 :rule trans :premises (@p25 @p22))
% 0.72/0.98  (step @p27 :rule refl :args (@t57))
% 0.72/0.98  (step @p28 :rule cong :premises (@p27 @p26) :args ((=> @t57 @t56)))
% 0.72/0.98  (assume-push @p707 @t57)
% 0.72/0.98  (step @p30 :rule instantiate :premises (@p21) :args ((@list tptp.empty)))
% 0.72/0.98  (step-pop @p708 :rule scope :premises (@p30))
% 0.72/0.98  (step @p31 :rule process_scope :premises (@p708) :args (@t56))
% 0.72/0.98  (step @p33 :rule eq_resolve :premises (@p31 @p28))
% 0.72/0.98  (step @p34 :rule implies_elim :premises (@p33))
% 0.72/0.98  (step @p35 :rule chain_m_resolution :premises (@p34 @p21) :args (@t55 @t58 @t59))
% 0.72/0.98  (step @p36 :rule arith_poly_norm :args ((= @t22 @t60)))
% 0.72/0.98  (step @p37 :rule refl :args (@t24))
% 0.72/0.98  (step @p38 :rule cong :premises (@p37 @p36) :args (@t25))
% 0.72/0.98  (step @p39 :rule refl :args (@t26))
% 0.72/0.98  (step @p40 :rule cong :premises (@p39 @p38) :args (@t27))
% 0.72/0.98  (step @p41 :rule cong :premises (@p40) :args (@t29))
% 0.72/0.98  (step @p42 :rule eq_resolve :premises (@p8 @p41))
% 0.72/0.98  (step @p43 :rule arith_poly_norm :args ((= (* 1 (- @t61 @t64)) (* -1 @t63))))
% 0.72/0.98  (step @p44 :rule arith_poly_norm_rel :premises (@p43) :args ((= @t66 @t65)))
% 0.72/0.98  (step @p45 :rule refl :args (@t68))
% 0.72/0.98  (step @p46 :rule cong :premises (@p45 @p44) :args (@t69))
% 0.72/0.98  (step @p47 :rule refl :args (@t70))
% 0.72/0.98  (step @p48 :rule cong :premises (@p47 @p46) :args ((=> @t70 @t69)))
% 0.72/0.98  (assume-push @p709 @t70)
% 0.72/0.98  (step @p50 :rule instantiate :premises (@p42) :args ((@list 3 tptp.empty)))
% 0.72/0.98  (step-pop @p710 :rule scope :premises (@p50))
% 0.72/0.98  (step @p51 :rule process_scope :premises (@p710) :args (@t69))
% 0.72/0.98  (step @p53 :rule eq_resolve :premises (@p51 @p48))
% 0.72/0.98  (step @p54 :rule implies_elim :premises (@p53))
% 0.72/0.98  (step @p55 :rule chain_m_resolution :premises (@p54 @p42) :args (@t71 @t58 @t72))
% 0.72/0.98  (step @p56 :rule instantiate :premises (@p1) :args ((@list 3)))
% 0.72/0.98  (step @p57 :rule refl :args (@t65))
% 0.72/0.98  (step @p58 :rule bool-double-not-elim :args (@t67))
% 0.72/0.98  (step @p59 :rule refl :args (@t73))
% 0.72/0.98  (step @p60 :rule nary_cong :premises (@p59 @p58 @p57) :args ((or @t73 (not @t68) @t65)))
% 0.72/0.98  (step @p61 :rule cnf_equiv_pos1 :args (@t71))
% 0.72/0.98  (step @p62 :rule eq_resolve :premises (@p61 @p60))
% 0.72/0.98  (step @p63 :rule reordering :premises (@p62) :args ((or @t67 @t65 @t73)))
% 0.72/0.98  (step @p64 :rule chain_m_resolution :premises (@p63 @p56 @p55) :args (@t65 @t74 (@list @t67 @t71)))
% 0.72/0.98  (step @p65 :rule instantiate :premises (@p21) :args ((@list @t75)))
% 0.72/0.98  (step @p66 :rule arith_poly_norm :args ((= (* 1 (- @t76 @t54)) (* -1 (- @t54 @t76)))))
% 0.72/0.98  (step @p67 :rule arith_poly_norm_rel :premises (@p66) :args ((= @t78 @t77)))
% 0.72/0.98  (step @p68 :rule refl :args (@t80))
% 0.72/0.98  (step @p69 :rule cong :premises (@p68 @p67) :args (@t81))
% 0.72/0.98  (step @p70 :rule refl :args (@t44))
% 0.72/0.98  (step @p71 :rule cong :premises (@p70 @p69) :args ((=> @t44 @t81)))
% 0.72/0.98  (assume-push @p711 @t44)
% 0.72/0.98  (step @p73 :rule instantiate :premises (@p11) :args ((@list 0 tptp.empty)))
% 0.72/0.98  (step-pop @p712 :rule scope :premises (@p73))
% 0.72/0.98  (step @p74 :rule process_scope :premises (@p712) :args (@t81))
% 0.72/0.98  (step @p76 :rule eq_resolve :premises (@p74 @p71))
% 0.72/0.98  (step @p77 :rule implies_elim :premises (@p76))
% 0.72/0.98  (step @p78 :rule chain_m_resolution :premises (@p77 @p11) :args (@t82 @t58 (@list @t44)))
% 0.72/0.98  (step @p79 :rule instantiate :premises (@p1) :args ((@list 0)))
% 0.72/0.98  (step @p80 :rule refl :args (@t77))
% 0.72/0.98  (step @p81 :rule bool-double-not-elim :args (@t79))
% 0.72/0.98  (step @p82 :rule refl :args (@t83))
% 0.72/0.98  (step @p83 :rule nary_cong :premises (@p82 @p81 @p80) :args ((or @t83 (not @t80) @t77)))
% 0.72/0.98  (step @p84 :rule cnf_equiv_pos1 :args (@t82))
% 0.72/0.98  (step @p85 :rule eq_resolve :premises (@p84 @p83))
% 0.72/0.98  (step @p86 :rule reordering :premises (@p85) :args ((or @t79 @t77 @t83)))
% 0.72/0.98  (step @p87 :rule chain_m_resolution :premises (@p86 @p79 @p78) :args (@t77 @t74 (@list @t79 @t82)))
% 0.72/0.98  (step @p88 :rule symm :premises (@p87))
% 0.72/0.98  (step @p89 :rule trans :premises (@p88 @p35))
% 0.72/0.98  (step @p90 :rule cnf_equiv_pos1 :args (@t86))
% 0.72/0.98  (step @p91 :rule reordering :premises (@p90) :args ((or (not @t85) @t84 (not @t86))))
% 0.72/0.98  (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p65) :args (@t84 @t87 (@list @t85 @t86)))
% 0.72/0.98  (step @p93 :rule refl :args (3))
% 0.72/0.98  (step @p94 :rule cong :premises (@p93 @p92) :args (@t47))
% 0.72/0.98  (step @p95 :rule cong :premises (@p93 @p94) :args (@t48))
% 0.72/0.98  (step @p96 :rule cong :premises (@p95) :args (@t88))
% 0.72/0.98  (step @p97 :rule symm :premises (@p96))
% 0.72/0.98  (step @p98 :rule instantiate :premises (@p11) :args ((@list 5 @t90)))
% 0.72/0.98  (step @p99 :rule refl :args (@t91))
% 0.72/0.98  (step @p100 :rule aci_norm :args ((= (and @t92 true) @t92)))
% 0.72/0.98  (step @p101 :rule evaluate :args ((not false)))
% 0.72/0.98  (step @p102 :rule evaluate :args (@t93))
% 0.72/0.98  (step @p103 :rule cong :premises (@p102) :args (@t94))
% 0.72/0.98  (step @p104 :rule trans :premises (@p103 @p101))
% 0.72/0.98  (step @p105 :rule refl :args (@t92))
% 0.72/0.98  (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t95))
% 0.72/0.98  (step @p107 :rule trans :premises (@p106 @p100))
% 0.72/0.98  (step @p108 :rule cong :premises (@p107 @p99) :args (@t96))
% 0.72/0.98  (step @p109 :rule refl :args (@t13))
% 0.72/0.98  (step @p110 :rule cong :premises (@p109 @p108) :args ((=> @t13 @t96)))
% 0.72/0.98  (assume-push @p713 @t13)
% 0.72/0.98  (step @p112 :rule instantiate :premises (@p5) :args ((@list 5 @t89 3)))
% 0.72/0.98  (step-pop @p714 :rule scope :premises (@p112))
% 0.72/0.98  (step @p113 :rule process_scope :premises (@p714) :args (@t96))
% 0.72/0.98  (step @p115 :rule eq_resolve :premises (@p113 @p110))
% 0.72/0.98  (step @p116 :rule implies_elim :premises (@p115))
% 0.72/0.98  (step @p117 :rule chain_m_resolution :premises (@p116 @p5) :args (@t97 @t58 (@list @t13)))
% 0.72/0.98  (step @p118 :rule refl :args (@t98))
% 0.72/0.98  (step @p119 :rule aci_norm :args ((= (or @t99 false) @t99)))
% 0.72/0.98  (step @p120 :rule refl :args (@t99))
% 0.72/0.98  (step @p121 :rule nary_cong :premises (@p120 @p102) :args (@t100))
% 0.72/0.98  (step @p122 :rule trans :premises (@p121 @p119))
% 0.72/0.98  (step @p123 :rule cong :premises (@p122 @p118) :args (@t101))
% 0.72/0.98  (step @p124 :rule refl :args (@t9))
% 0.72/0.98  (step @p125 :rule cong :premises (@p124 @p123) :args ((=> @t9 @t101)))
% 0.72/0.98  (assume-push @p715 @t9)
% 0.72/0.98  (step @p127 :rule instantiate :premises (@p4) :args ((@list 5 tptp.empty 3)))
% 0.72/0.98  (step-pop @p716 :rule scope :premises (@p127))
% 0.72/0.98  (step @p128 :rule process_scope :premises (@p716) :args (@t101))
% 0.72/0.98  (step @p130 :rule eq_resolve :premises (@p128 @p125))
% 0.72/0.98  (step @p131 :rule implies_elim :premises (@p130))
% 0.72/0.98  (step @p132 :rule chain_m_resolution :premises (@p131 @p4) :args (@t102 @t58 @t103))
% 0.72/0.98  (step @p133 :rule instantiate :premises (@p1) :args ((@list 5)))
% 0.72/0.98  (step @p134 :rule cnf_equiv_pos2 :args (@t102))
% 0.72/0.98  (step @p135 :rule reordering :premises (@p134) :args ((or @t99 @t104 (not @t102))))
% 0.72/0.98  (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p132) :args (@t104 @t74 (@list @t99 @t102)))
% 0.72/0.98  (step @p137 :rule false_intro :premises (@p136))
% 0.72/0.98  (step @p138 :rule symm :premises (@p92))
% 0.72/0.98  (step @p139 :rule cong :premises (@p93 @p138) :args (@t89))
% 0.72/0.98  (step @p140 :rule refl :args (5))
% 0.72/0.98  (step @p141 :rule cong :premises (@p140 @p139) :args (@t92))
% 0.72/0.98  (step @p142 :rule trans :premises (@p141 @p137))
% 0.72/0.98  (step @p143 :rule false_elim :premises (@p142))
% 0.72/0.98  (step @p144 :rule cnf_equiv_pos2 :args (@t97))
% 0.72/0.98  (step @p145 :rule reordering :premises (@p144) :args ((or @t92 @t105 (not @t97))))
% 0.72/0.98  (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p117) :args (@t105 @t74 (@list @t92 @t97)))
% 0.72/0.98  (step @p147 :rule refl :args (@t108))
% 0.72/0.98  (step @p148 :rule bool-double-not-elim :args (@t91))
% 0.72/0.98  (step @p149 :rule refl :args (@t110))
% 0.72/0.98  (step @p150 :rule nary_cong :premises (@p149 @p148 @p147) :args ((or @t110 (not @t105) @t108)))
% 0.72/0.98  (step @p151 :rule cnf_equiv_pos1 :args (@t109))
% 0.72/0.98  (step @p152 :rule eq_resolve :premises (@p151 @p150))
% 0.72/0.98  (step @p153 :rule reordering :premises (@p152) :args ((or @t91 @t108 @t110)))
% 0.72/0.98  (step @p154 :rule chain_m_resolution :premises (@p153 @p146 @p98) :args (@t108 @t74 @t111))
% 0.72/0.98  (step @p155 :rule cong :premises (@p140 @p95) :args (@t112))
% 0.72/0.98  (step @p156 :rule cong :premises (@p155) :args (@t113))
% 0.72/0.98  (step @p157 :rule trans :premises (@p156 @p154 @p97))
% 0.72/0.98  (step @p158 :rule arith_poly_norm :args ((= (+ @t33 -1) @t114)))
% 0.72/0.98  (step @p159 :rule evaluate :args (@t115))
% 0.72/0.98  (step @p160 :rule refl :args (@t33))
% 0.72/0.98  (step @p161 :rule nary_cong :premises (@p160 @p159) :args (@t116))
% 0.72/0.98  (step @p162 :rule trans :premises (@p161 @p158))
% 0.72/0.98  (step @p163 :rule arith_poly_norm :args ((= @t34 @t116)))
% 0.72/0.98  (step @p164 :rule trans :premises (@p163 @p162))
% 0.72/0.98  (step @p165 :rule refl :args (@t36))
% 0.72/0.98  (step @p166 :rule cong :premises (@p165 @p164) :args (@t37))
% 0.72/0.98  (step @p167 :rule refl :args (@t38))
% 0.72/0.98  (step @p168 :rule cong :premises (@p167 @p166) :args (@t39))
% 0.72/0.98  (step @p169 :rule cong :premises (@p168) :args (@t41))
% 0.72/0.98  (step @p170 :rule eq_resolve :premises (@p10 @p169))
% 0.72/0.98  (step @p171 :rule arith_poly_norm :args ((= (* -1 (- @t106 @t120)) (* 1 @t119))))
% 0.72/0.98  (step @p172 :rule arith_poly_norm_rel :premises (@p171) :args ((= @t122 @t121)))
% 0.72/0.98  (step @p173 :rule refl :args (@t123))
% 0.72/0.98  (step @p174 :rule cong :premises (@p173 @p172) :args (@t124))
% 0.72/0.98  (step @p175 :rule refl :args (@t125))
% 0.72/0.98  (step @p176 :rule cong :premises (@p175 @p174) :args ((=> @t125 @t124)))
% 0.72/0.98  (assume-push @p717 @t125)
% 0.72/0.98  (step @p178 :rule instantiate :premises (@p170) :args ((@list 3 @t89)))
% 0.72/0.98  (step-pop @p718 :rule scope :premises (@p178))
% 0.72/0.98  (step @p179 :rule process_scope :premises (@p718) :args (@t124))
% 0.72/0.98  (step @p181 :rule eq_resolve :premises (@p179 @p176))
% 0.72/0.98  (step @p182 :rule implies_elim :premises (@p181))
% 0.72/0.98  (step @p183 :rule chain_m_resolution :premises (@p182 @p170) :args (@t126 @t58 (@list @t125)))
% 0.72/0.98  (step @p184 :rule bool-eq-true :args (@t127))
% 0.72/0.98  (step @p185 :rule absorb :args ((= (or @t67 true) true)))
% 0.72/0.98  (step @p186 :rule evaluate :args (@t128))
% 0.72/0.98  (step @p187 :rule refl :args (@t67))
% 0.72/0.98  (step @p188 :rule nary_cong :premises (@p187 @p186) :args (@t129))
% 0.72/0.98  (step @p189 :rule trans :premises (@p188 @p185))
% 0.72/0.98  (step @p190 :rule refl :args (@t127))
% 0.72/0.98  (step @p191 :rule cong :premises (@p190 @p189) :args ((= @t127 @t129)))
% 0.72/0.98  (step @p192 :rule trans :premises (@p191 @p184))
% 0.72/0.98  (step @p193 :rule eq-symm :args (@t129 @t127))
% 0.72/0.98  (step @p194 :rule trans :premises (@p193 @p192))
% 0.72/0.98  (step @p195 :rule cong :premises (@p124 @p194) :args ((=> @t9 @t130)))
% 0.72/0.98  (assume-push @p719 @t9)
% 0.72/0.98  (step @p197 :rule instantiate :premises (@p4) :args ((@list 3 tptp.empty 3)))
% 0.72/0.98  (step-pop @p720 :rule scope :premises (@p197))
% 0.72/0.98  (step @p198 :rule process_scope :premises (@p720) :args (@t130))
% 0.72/0.98  (step @p200 :rule eq_resolve :premises (@p198 @p195))
% 0.72/0.98  (step @p201 :rule implies_elim :premises (@p200))
% 0.72/0.98  (step @p202 :rule chain_m_resolution :premises (@p201 @p4) :args (@t127 @t58 @t103))
% 0.72/0.98  (step @p203 :rule true_intro :premises (@p202))
% 0.72/0.98  (step @p204 :rule cong :premises (@p93 @p139) :args (@t123))
% 0.72/0.98  (step @p205 :rule trans :premises (@p204 @p203))
% 0.72/0.98  (step @p206 :rule true_elim :premises (@p205))
% 0.72/0.98  (step @p207 :rule cnf_equiv_pos1 :args (@t126))
% 0.72/0.98  (step @p208 :rule reordering :premises (@p207) :args ((or @t121 (not @t123) (not @t126))))
% 0.72/0.98  (step @p209 :rule chain_m_resolution :premises (@p208 @p206 @p183) :args (@t121 @t87 (@list @t123 @t126)))
% 0.72/0.98  (step @p210 :rule cong :premises (@p94) :args (@t61))
% 0.72/0.98  (step @p211 :rule bool-double-not-elim :args (@t133))
% 0.72/0.98  (step @p212 :rule refl :args (@t135))
% 0.72/0.98  (step @p213 :rule refl :args (@t137))
% 0.72/0.98  (step @p214 :rule refl :args (@t138))
% 0.72/0.98  (step @p215 :rule nary_cong :premises (@p214 @p213 @p212 @p211) :args ((or @t138 @t137 @t135 (not @t139))))
% 0.72/0.98  (assume-push @p721 @t121)
% 0.72/0.98  (assume-push @p722 @t136)
% 0.72/0.98  (assume-push @p723 @t134)
% 0.72/0.98  (assume-push @p724 @t139)
% 0.72/0.98  (step @p220 :rule evaluate :args (@t140))
% 0.72/0.98  (step @p221 :rule evaluate :args (@t141))
% 0.72/0.98  (step @p222 :rule evaluate :args ((+ 1 -1 0 0)))
% 0.72/0.98  (step @p223 :rule refl :args (0))
% 0.72/0.98  (step @p224 :rule evaluate :args (@t142))
% 0.72/0.98  (step @p225 :rule refl :args (1))
% 0.72/0.98  (step @p226 :rule nary_cong :premises (@p225 @p159 @p224 @p223) :args (@t143))
% 0.72/0.98  (step @p227 :rule trans :premises (@p226 @p222))
% 0.72/0.98  (step @p228 :rule arith_poly_norm :args ((= (+ 0 @t131 @t118 @t88 @t144 0) 0)))
% 0.72/0.98  (step @p229 :rule arith_poly_norm :args ((= @t145 0)))
% 0.72/0.98  (step @p230 :rule refl :args (@t144))
% 0.72/0.98  (step @p231 :rule refl :args (@t88))
% 0.72/0.98  (step @p232 :rule refl :args (@t118))
% 0.72/0.98  (step @p233 :rule refl :args (@t131))
% 0.72/0.98  (step @p234 :rule arith_poly_norm :args (@t147))
% 0.72/0.98  (step @p235 :rule nary_cong :premises (@p234 @p233 @p232 @p231 @p230 @p229) :args (@t148))
% 0.72/0.98  (step @p236 :rule trans :premises (@p235 @p228))
% 0.72/0.98  (step @p237 :rule arith_poly_norm :args ((= @t153 @t148)))
% 0.72/0.98  (step @p238 :rule trans :premises (@p237 @p236))
% 0.72/0.98  (step @p239 :rule cong :premises (@p238 @p227) :args (@t154))
% 0.72/0.98  (step @p240 :rule trans :premises (@p239 @p221))
% 0.72/0.98  (step @p241 :rule cong :premises (@p240) :args ((not @t154)))
% 0.72/0.98  (step @p242 :rule trans :premises (@p241 @p220))
% 0.72/0.98  (step @p243 :rule arith-elim-lt :args (@t153 @t143))
% 0.72/0.98  (step @p244 :rule trans :premises (@p243 @p242))
% 0.72/0.98  (step @p245 :rule arith_poly_norm :args (@t155))
% 0.72/0.98  (step @p246 :rule arith_poly_norm_rel :premises (@p245) :args (@t157))
% 0.72/0.98  (step @p247 :rule symm :premises (@p246))
% 0.72/0.98  (step @p248 :rule eq_resolve :premises (@p96 @p247))
% 0.72/0.98  (step @p249 :rule arith_mult_neg :args (-1 @t158))
% 0.72/0.98  (step @p250 :rule arith_poly_norm :args (@t159))
% 0.72/0.98  (step @p251 :rule arith_poly_norm_rel :premises (@p250) :args (@t160))
% 0.72/0.98  (step @p252 :rule symm :premises (@p251))
% 0.72/0.98  (step @p253 :rule eq_resolve :premises (@p210 @p252))
% 0.72/0.98  (step @p254 :rule evaluate :args (@t161))
% 0.72/0.98  (step @p255 :rule true_elim :premises (@p254))
% 0.72/0.98  (step @p256 :rule and_intro :premises (@p255 @p253))
% 0.72/0.98  (step @p257 :rule modus_ponens :premises (@p256 @p249))
% 0.72/0.98  (step @p258 :rule arith_mult_neg :args (-1 @t162))
% 0.72/0.98  (step @p259 :rule arith_poly_norm :args (@t163))
% 0.72/0.98  (step @p260 :rule arith_poly_norm_rel :premises (@p259) :args (@t164))
% 0.72/0.98  (step @p261 :rule symm :premises (@p260))
% 0.72/0.98  (step @p262 :rule eq_resolve :premises (@p209 @p261))
% 0.72/0.98  (step @p263 :rule and_intro :premises (@p255 @p262))
% 0.72/0.98  (step @p264 :rule modus_ponens :premises (@p263 @p258))
% 0.72/0.98  (step @p265 :rule arith-elim-lt :args (@t132 1))
% 0.72/0.98  (step @p266 :rule symm :premises (@p265))
% 0.72/0.98  (step @p267 :rule eq_resolve :premises (@p724 @p266))
% 0.72/0.98  (step @p268 :rule arith_sum_ub :premises (@p267 @p264 @p257 @p248))
% 0.72/0.98  (step @p269 false :rule eq_resolve :premises (@p268 @p244))
% 0.72/0.98  (step-pop @p725 :rule scope :premises (@p269))
% 0.72/0.98  (step-pop @p726 :rule scope :premises (@p725))
% 0.72/0.98  (step-pop @p727 :rule scope :premises (@p726))
% 0.72/0.98  (step-pop @p728 :rule scope :premises (@p727))
% 0.72/0.98  (step @p270 :rule process_scope :premises (@p728) :args (false))
% 0.72/0.98  (step @p275 :rule not_and :premises (@p270))
% 0.72/0.98  (step @p276 :rule eq_resolve :premises (@p275 @p215))
% 0.72/0.98  (step @p277 :rule reordering :premises (@p276) :args ((or @t137 @t135 @t133 @t138)))
% 0.72/0.98  (step @p278 :rule chain_m_resolution :premises (@p277 @p210 @p96 @p209) :args (@t133 (@list false false false) (@list @t136 @t134 @t121)))
% 0.72/0.98  (step @p279 :rule chain_m_resolution :premises (@p153 @p146 @p98) :args (@t108 @t74 @t111))
% 0.72/0.98  (step @p280 :rule cong :premises (@p155) :args (@t113))
% 0.72/0.98  (step @p281 :rule trans :premises (@p280 @p279 @p97))
% 0.72/0.98  (step @p282 :rule bool-double-not-elim :args (@t165))
% 0.72/0.98  (step @p283 :rule refl :args (@t167))
% 0.72/0.98  (step @p284 :rule refl :args (@t168))
% 0.72/0.98  (step @p285 :rule refl :args (@t169))
% 0.72/0.98  (step @p286 :rule nary_cong :premises (@p214 @p213 @p285 @p284 @p212 @p283 @p282) :args ((or @t138 @t137 @t169 @t168 @t135 @t167 (not @t170))))
% 0.72/0.98  (assume-push @p729 @t121)
% 0.72/0.98  (assume-push @p730 @t136)
% 0.72/0.98  (assume-push @p731 @t65)
% 0.72/0.98  (assume-push @p732 @t55)
% 0.72/0.98  (assume-push @p733 @t134)
% 0.72/0.98  (assume-push @p734 @t166)
% 0.72/0.98  (assume-push @p735 @t170)
% 0.72/0.98  (step @p220 :rule evaluate :args (@t140))
% 0.72/0.98  (step @p221 :rule evaluate :args (@t141))
% 0.72/0.98  (step @p294 :rule evaluate :args ((+ 0 1 0 -1 0 0 0)))
% 0.72/0.98  (step @p224 :rule evaluate :args (@t142))
% 0.72/0.98  (step @p295 :rule refl :args (-1))
% 0.72/0.98  (step @p223 :rule refl :args (0))
% 0.72/0.98  (step @p225 :rule refl :args (1))
% 0.72/0.98  (step @p296 :rule nary_cong :premises (@p223 @p225 @p223 @p295 @p224 @p224 @p224) :args (@t171))
% 0.72/0.98  (step @p297 :rule trans :premises (@p296 @p294))
% 0.72/0.98  (step @p298 :rule arith_poly_norm :args ((= (+ 0 @t88 @t144 @t131 0 @t118 @t173 @t61 @t172 @t54) 0)))
% 0.72/0.98  (step @p299 :rule refl :args (@t54))
% 0.72/0.98  (step @p300 :rule refl :args (@t172))
% 0.72/0.98  (step @p301 :rule refl :args (@t61))
% 0.72/0.98  (step @p302 :rule refl :args (@t173))
% 0.72/0.98  (step @p232 :rule refl :args (@t118))
% 0.72/0.98  (step @p303 :rule arith_poly_norm :args ((= @t174 0)))
% 0.72/0.98  (step @p233 :rule refl :args (@t131))
% 0.72/0.98  (step @p230 :rule refl :args (@t144))
% 0.72/0.98  (step @p231 :rule refl :args (@t88))
% 0.72/0.98  (step @p234 :rule arith_poly_norm :args (@t147))
% 0.72/0.98  (step @p304 :rule nary_cong :premises (@p234 @p231 @p230 @p233 @p303 @p232 @p302 @p301 @p300 @p299) :args (@t175))
% 0.72/0.98  (step @p305 :rule trans :premises (@p304 @p298))
% 0.72/0.98  (step @p306 :rule arith_poly_norm :args ((= @t178 @t175)))
% 0.72/0.98  (step @p307 :rule trans :premises (@p306 @p305))
% 0.72/0.98  (step @p308 :rule cong :premises (@p307 @p297) :args (@t179))
% 0.72/0.98  (step @p309 :rule trans :premises (@p308 @p221))
% 0.72/0.98  (step @p310 :rule cong :premises (@p309) :args ((not @t179)))
% 0.72/0.98  (step @p311 :rule trans :premises (@p310 @p220))
% 0.72/0.98  (step @p312 :rule arith-elim-lt :args (@t178 @t171))
% 0.72/0.98  (step @p313 :rule trans :premises (@p312 @p311))
% 0.72/0.98  (step @p314 :rule arith_mult_neg :args (-1 @t180))
% 0.72/0.98  (step @p315 :rule arith_poly_norm :args (@t181))
% 0.72/0.98  (step @p316 :rule arith_poly_norm_rel :premises (@p315) :args (@t182))
% 0.72/0.98  (step @p317 :rule symm :premises (@p316))
% 0.72/0.98  (step @p318 :rule trans :premises (@p156 @p154 @p97))
% 0.72/0.98  (step @p319 :rule eq_resolve :premises (@p318 @p317))
% 0.72/0.98  (step @p254 :rule evaluate :args (@t161))
% 0.72/0.98  (step @p255 :rule true_elim :premises (@p254))
% 0.72/0.98  (step @p320 :rule and_intro :premises (@p255 @p319))
% 0.72/0.98  (step @p321 :rule modus_ponens :premises (@p320 @p314))
% 0.72/0.98  (step @p322 :rule arith_mult_neg :args (-1 @t156))
% 0.72/0.98  (step @p245 :rule arith_poly_norm :args (@t155))
% 0.72/0.98  (step @p246 :rule arith_poly_norm_rel :premises (@p245) :args (@t157))
% 0.72/0.98  (step @p247 :rule symm :premises (@p246))
% 0.72/0.98  (step @p248 :rule eq_resolve :premises (@p96 @p247))
% 0.72/0.98  (step @p323 :rule and_intro :premises (@p255 @p248))
% 0.72/0.98  (step @p324 :rule modus_ponens :premises (@p323 @p322))
% 0.72/0.98  (step @p325 :rule arith_mult_neg :args (-1 @t55))
% 0.72/0.98  (step @p326 :rule and_intro :premises (@p255 @p35))
% 0.72/0.98  (step @p327 :rule modus_ponens :premises (@p326 @p325))
% 0.72/0.98  (step @p328 :rule arith_poly_norm :args (@t183))
% 0.72/0.98  (step @p329 :rule arith_poly_norm_rel :premises (@p328) :args (@t185))
% 0.72/0.98  (step @p330 :rule symm :premises (@p329))
% 0.72/0.98  (step @p331 :rule eq_resolve :premises (@p64 @p330))
% 0.72/0.98  (step @p250 :rule arith_poly_norm :args (@t159))
% 0.72/0.98  (step @p251 :rule arith_poly_norm_rel :premises (@p250) :args (@t160))
% 0.72/0.98  (step @p252 :rule symm :premises (@p251))
% 0.72/0.98  (step @p253 :rule eq_resolve :premises (@p210 @p252))
% 0.72/0.98  (step @p259 :rule arith_poly_norm :args (@t163))
% 0.72/0.98  (step @p260 :rule arith_poly_norm_rel :premises (@p259) :args (@t164))
% 0.72/0.98  (step @p261 :rule symm :premises (@p260))
% 0.72/0.98  (step @p262 :rule eq_resolve :premises (@p209 @p261))
% 0.72/0.98  (step @p332 :rule arith-elim-lt :args (@t113 0))
% 0.72/0.98  (step @p333 :rule symm :premises (@p332))
% 0.72/0.98  (step @p334 :rule eq_resolve :premises (@p735 @p333))
% 0.72/0.98  (step @p335 :rule arith_sum_ub :premises (@p334 @p262 @p253 @p331 @p327 @p324 @p321))
% 0.72/0.98  (step @p336 false :rule eq_resolve :premises (@p335 @p313))
% 0.72/0.98  (step-pop @p736 :rule scope :premises (@p336))
% 0.72/0.98  (step-pop @p737 :rule scope :premises (@p736))
% 0.72/0.98  (step-pop @p738 :rule scope :premises (@p737))
% 0.72/0.98  (step-pop @p739 :rule scope :premises (@p738))
% 0.72/0.98  (step-pop @p740 :rule scope :premises (@p739))
% 0.72/0.98  (step-pop @p741 :rule scope :premises (@p740))
% 0.72/0.98  (step-pop @p742 :rule scope :premises (@p741))
% 0.72/0.98  (step @p337 :rule process_scope :premises (@p742) :args (false))
% 0.72/0.98  (step @p345 :rule not_and :premises (@p337))
% 0.72/0.98  (step @p346 :rule eq_resolve :premises (@p345 @p286))
% 0.72/0.98  (step @p347 :rule reordering :premises (@p346) :args ((or @t168 @t169 @t137 @t167 @t135 @t165 @t138)))
% 0.72/0.98  (step @p348 :rule chain_m_resolution :premises (@p347 @p35 @p64 @p210 @p281 @p96 @p209) :args (@t165 (@list false false false false false false) (@list @t55 @t65 @t136 @t166 @t134 @t121)))
% 0.72/0.98  (step @p349 :rule eq-symm :args (@t186 @t187))
% 0.72/0.98  (step @p350 :rule cong :premises (@p27 @p349) :args ((=> @t57 @t188)))
% 0.72/0.98  (assume-push @p743 @t57)
% 0.72/0.98  (step @p352 :rule instantiate :premises (@p21) :args ((@list @t48)))
% 0.72/0.98  (step-pop @p744 :rule scope :premises (@p352))
% 0.72/0.98  (step @p353 :rule process_scope :premises (@p744) :args (@t188))
% 0.72/0.98  (step @p355 :rule eq_resolve :premises (@p353 @p350))
% 0.72/0.98  (step @p356 :rule implies_elim :premises (@p355))
% 0.72/0.98  (step @p357 :rule chain_m_resolution :premises (@p356 @p21) :args (@t189 @t58 @t59))
% 0.72/0.98  (step @p358 :rule arith_poly_norm :args ((= (* 1 (- @t191 @t64)) (* -1 @t193))))
% 0.72/0.98  (step @p359 :rule arith_poly_norm_rel :premises (@p358) :args ((= @t195 @t194)))
% 0.72/0.98  (step @p360 :rule refl :args (@t196))
% 0.72/0.98  (step @p361 :rule cong :premises (@p360 @p359) :args (@t197))
% 0.72/0.98  (step @p362 :rule cong :premises (@p47 @p361) :args ((=> @t70 @t197)))
% 0.72/0.98  (assume-push @p745 @t70)
% 0.72/0.98  (step @p364 :rule instantiate :premises (@p42) :args ((@list 5 tptp.empty)))
% 0.72/0.98  (step-pop @p746 :rule scope :premises (@p364))
% 0.72/0.98  (step @p365 :rule process_scope :premises (@p746) :args (@t197))
% 0.72/0.98  (step @p367 :rule eq_resolve :premises (@p365 @p362))
% 0.72/0.98  (step @p368 :rule implies_elim :premises (@p367))
% 0.72/0.98  (step @p369 :rule chain_m_resolution :premises (@p368 @p42) :args (@t198 @t58 @t72))
% 0.72/0.98  (step @p370 :rule refl :args (@t194))
% 0.72/0.98  (step @p371 :rule bool-double-not-elim :args (@t99))
% 0.72/0.98  (step @p372 :rule refl :args (@t199))
% 0.72/0.98  (step @p373 :rule nary_cong :premises (@p372 @p371 @p370) :args ((or @t199 (not @t196) @t194)))
% 0.72/0.98  (step @p374 :rule cnf_equiv_pos1 :args (@t198))
% 0.72/0.98  (step @p375 :rule eq_resolve :premises (@p374 @p373))
% 0.72/0.98  (step @p376 :rule reordering :premises (@p375) :args ((or @t99 @t194 @t199)))
% 0.72/0.98  (step @p377 :rule chain_m_resolution :premises (@p376 @p133 @p369) :args (@t194 @t74 (@list @t99 @t198)))
% 0.72/0.98  (assume-push @p747 @t200)
% 0.72/0.98  (assume-push @p748 @t55)
% 0.72/0.98  (assume-push @p749 @t194)
% 0.72/0.98  (assume-push @p750 @t201)
% 0.72/0.98  (assume-push @p751 @t204)
% 0.72/0.98  (step @p383 :rule evaluate :args (@t205))
% 0.72/0.98  (step @p384 :rule evaluate :args ((+ 0 1 0 -2)))
% 0.72/0.98  (step @p385 :rule evaluate :args (@t206))
% 0.72/0.98  (step @p223 :rule refl :args (0))
% 0.72/0.98  (step @p386 :rule evaluate :args (@t207))
% 0.72/0.98  (step @p387 :rule nary_cong :premises (@p223 @p386 @p223 @p385) :args (@t208))
% 0.72/0.98  (step @p388 :rule trans :premises (@p387 @p384))
% 0.72/0.98  (step @p389 :rule arith_poly_norm :args ((= (+ @t209 0 0 @t50) 0)))
% 0.72/0.98  (step @p390 :rule refl :args (@t50))
% 0.72/0.98  (step @p391 :rule arith_poly_norm :args (@t211))
% 0.72/0.98  (step @p392 :rule arith_poly_norm :args (@t213))
% 0.72/0.98  (step @p393 :rule refl :args (@t209))
% 0.72/0.98  (step @p394 :rule nary_cong :premises (@p393 @p392 @p391 @p390) :args (@t214))
% 0.72/0.98  (step @p395 :rule trans :premises (@p394 @p389))
% 0.72/0.98  (step @p396 :rule arith_poly_norm :args ((= @t217 @t214)))
% 0.72/0.98  (step @p397 :rule trans :premises (@p396 @p395))
% 0.72/0.98  (step @p398 :rule cong :premises (@p397 @p388) :args ((<= @t217 @t208)))
% 0.72/0.98  (step @p399 :rule trans :premises (@p398 @p383))
% 0.72/0.98  (step @p400 :rule arith_mult_neg :args (-1 @t200))
% 0.72/0.98  (step @p254 :rule evaluate :args (@t161))
% 0.72/0.98  (step @p255 :rule true_elim :premises (@p254))
% 0.72/0.98  (step @p401 :rule and_intro :premises (@p255 @p747))
% 0.72/0.98  (step @p402 :rule modus_ponens :premises (@p401 @p400))
% 0.72/0.98  (step @p403 :rule arith_mult_neg :args (-1 @t218))
% 0.72/0.98  (step @p404 :rule arith_poly_norm :args (@t219))
% 0.72/0.98  (step @p405 :rule arith_poly_norm_rel :premises (@p404) :args (@t220))
% 0.72/0.98  (step @p406 :rule symm :premises (@p405))
% 0.72/0.98  (step @p407 :rule eq_resolve :premises (@p377 @p406))
% 0.72/0.98  (step @p408 :rule and_intro :premises (@p255 @p407))
% 0.72/0.98  (step @p409 :rule modus_ponens :premises (@p408 @p403))
% 0.72/0.98  (step @p410 :rule arith_sum_ub :premises (@p751 @p409 @p35 @p402))
% 0.72/0.98  (step @p411 false :rule eq_resolve :premises (@p410 @p399))
% 0.72/0.98  (step-pop @p752 :rule scope :premises (@p411))
% 0.72/0.98  (step @p412 :rule process_scope :premises (@p752) :args (false))
% 0.72/0.98  (step @p414 :rule arith_poly_norm :args (@t221))
% 0.72/0.98  (step @p415 :rule arith_poly_norm_rel :premises (@p414) :args (@t222))
% 0.72/0.98  (step @p416 :rule symm :premises (@p415))
% 0.72/0.98  (step @p417 :rule eq_resolve :premises (@p750 @p416))
% 0.72/0.98  (step @p418 false :rule contra :premises (@p417 @p412))
% 0.72/0.98  (step-pop @p753 :rule scope :premises (@p418))
% 0.72/0.98  (step-pop @p754 :rule scope :premises (@p753))
% 0.72/0.98  (step-pop @p755 :rule scope :premises (@p754))
% 0.72/0.98  (step-pop @p756 :rule scope :premises (@p755))
% 0.72/0.98  (step @p419 :rule process_scope :premises (@p756) :args (false))
% 0.72/0.98  (assume-push @p757 @t55)
% 0.72/0.98  (assume-push @p758 @t194)
% 0.72/0.98  (assume-push @p759 @t223)
% 0.72/0.98  (assume-push @p760 @t200)
% 0.72/0.98  (assume-push @p761 @t223)
% 0.72/0.98  (step @p429 :rule cong :premises (@p759) :args (@t50))
% 0.72/0.98  (step-pop @p762 :rule scope :premises (@p429))
% 0.72/0.98  (step @p430 :rule process_scope :premises (@p762) :args (@t201))
% 0.72/0.98  (step @p432 :rule modus_ponens :premises (@p759 @p430))
% 0.72/0.98  (step @p433 :rule and_intro :premises (@p760 @p35 @p377 @p432))
% 0.72/0.98  (step-pop @p763 :rule scope :premises (@p433))
% 0.72/0.98  (step-pop @p764 :rule scope :premises (@p763))
% 0.72/0.98  (step-pop @p765 :rule scope :premises (@p764))
% 0.72/0.98  (step-pop @p766 :rule scope :premises (@p765))
% 0.72/0.98  (step @p434 :rule process_scope :premises (@p766) :args (@t224))
% 0.72/0.98  (step @p439 :rule implies_elim :premises (@p434))
% 0.72/0.98  (step @p440 :rule resolution :premises (@p439 @p419) :args (true @t224))
% 0.72/0.98  (step @p441 :rule not_and :premises (@p440))
% 0.72/0.98  (step @p442 :rule reordering :premises (@p441) :args ((or @t168 (not @t194) (not @t200) @t225)))
% 0.72/0.98  (assume-push @p767 @t194)
% 0.72/0.98  (assume-push @p768 @t194)
% 0.72/0.98  (step @p445 :rule arith-elim-lt :args (@t215 0))
% 0.72/0.98  (step @p446 :rule symm :premises (@p445))
% 0.72/0.98  (assume-push @p769 @t226)
% 0.72/0.98  (step @p383 :rule evaluate :args (@t205))
% 0.72/0.98  (step @p448 :rule evaluate :args ((+ 0 -1)))
% 0.72/0.98  (step @p295 :rule refl :args (-1))
% 0.72/0.98  (step @p224 :rule evaluate :args (@t142))
% 0.72/0.98  (step @p449 :rule nary_cong :premises (@p224 @p295) :args (@t227))
% 0.72/0.98  (step @p450 :rule trans :premises (@p449 @p448))
% 0.72/0.98  (step @p451 :rule evaluate :args ((+ 0 0)))
% 0.72/0.98  (step @p391 :rule arith_poly_norm :args (@t211))
% 0.72/0.98  (step @p392 :rule arith_poly_norm :args (@t213))
% 0.72/0.98  (step @p452 :rule nary_cong :premises (@p392 @p391) :args (@t228))
% 0.72/0.98  (step @p453 :rule trans :premises (@p452 @p451))
% 0.72/0.98  (step @p454 :rule arith_poly_norm :args ((= @t229 @t228)))
% 0.72/0.98  (step @p455 :rule trans :premises (@p454 @p453))
% 0.72/0.98  (step @p456 :rule cong :premises (@p455 @p450) :args ((<= @t229 @t227)))
% 0.72/0.98  (step @p457 :rule trans :premises (@p456 @p383))
% 0.72/0.98  (step @p404 :rule arith_poly_norm :args (@t219))
% 0.72/0.98  (step @p405 :rule arith_poly_norm_rel :premises (@p404) :args (@t220))
% 0.72/0.98  (step @p406 :rule symm :premises (@p405))
% 0.72/0.98  (step @p407 :rule eq_resolve :premises (@p377 @p406))
% 0.72/0.98  (step @p458 :rule arith_mult_neg :args (-1 @t226))
% 0.72/0.98  (step @p254 :rule evaluate :args (@t161))
% 0.72/0.98  (step @p255 :rule true_elim :premises (@p254))
% 0.72/0.98  (step @p459 :rule and_intro :premises (@p255 @p769))
% 0.72/0.98  (step @p460 :rule modus_ponens :premises (@p459 @p458))
% 0.72/0.98  (step @p461 :rule arith_sum_ub :premises (@p460 @p407))
% 0.72/0.98  (step @p462 false :rule eq_resolve :premises (@p461 @p457))
% 0.72/0.98  (step-pop @p770 :rule scope :premises (@p462))
% 0.72/0.98  (step @p463 :rule process_scope :premises (@p770) :args (false))
% 0.72/0.98  (step @p465 :rule eq_resolve :premises (@p463 @p446))
% 0.72/0.98  (step @p466 :rule eq_resolve :premises (@p465 @p445))
% 0.72/0.98  (step-pop @p771 :rule scope :premises (@p466))
% 0.72/0.98  (step @p467 :rule process_scope :premises (@p771) :args (@t230))
% 0.72/0.98  (step @p469 :rule modus_ponens :premises (@p377 @p467))
% 0.72/0.98  (step-pop @p772 :rule scope :premises (@p469))
% 0.72/0.98  (step @p470 :rule process_scope :premises (@p772) :args (@t230))
% 0.72/0.98  (step @p472 :rule implies_elim :premises (@p470))
% 0.72/0.98  (step @p473 :rule chain_m_resolution :premises (@p472 @p377) :args (@t230 @t58 (@list @t194)))
% 0.72/0.98  (step @p474 :rule bool-double-not-elim :args (@t231))
% 0.72/0.98  (step @p475 :rule refl :args (@t225))
% 0.72/0.98  (step @p476 :rule bool-double-not-elim :args (@t226))
% 0.72/0.98  (step @p477 :rule nary_cong :premises (@p284 @p476 @p475 @p474) :args ((or @t168 (not @t230) @t225 (not @t232))))
% 0.72/0.98  (assume-push @p773 @t232)
% 0.72/0.98  (assume-push @p774 @t55)
% 0.72/0.98  (assume-push @p775 @t230)
% 0.72/0.98  (assume-push @p776 @t201)
% 0.72/0.98  (assume-push @p777 @t204)
% 0.72/0.98  (step @p220 :rule evaluate :args (@t140))
% 0.72/0.98  (step @p221 :rule evaluate :args (@t141))
% 0.72/0.98  (step @p483 :rule evaluate :args ((+ 0 0 0 0)))
% 0.72/0.98  (step @p223 :rule refl :args (0))
% 0.72/0.98  (step @p224 :rule evaluate :args (@t142))
% 0.72/0.98  (step @p484 :rule nary_cong :premises (@p224 @p223 @p224 @p223) :args (@t233))
% 0.72/0.98  (step @p485 :rule trans :premises (@p484 @p483))
% 0.72/0.98  (step @p486 :rule arith_poly_norm :args ((= (+ 0 @t172 @t54 0) 0)))
% 0.72/0.98  (step @p487 :rule arith_poly_norm :args ((= @t234 0)))
% 0.72/0.98  (step @p299 :rule refl :args (@t54))
% 0.72/0.98  (step @p300 :rule refl :args (@t172))
% 0.72/0.98  (step @p392 :rule arith_poly_norm :args (@t213))
% 0.72/0.98  (step @p488 :rule nary_cong :premises (@p392 @p300 @p299 @p487) :args (@t235))
% 0.72/0.98  (step @p489 :rule trans :premises (@p488 @p486))
% 0.72/0.98  (step @p490 :rule arith_poly_norm :args ((= @t236 @t235)))
% 0.72/0.98  (step @p491 :rule trans :premises (@p490 @p489))
% 0.72/0.98  (step @p492 :rule cong :premises (@p491 @p485) :args (@t237))
% 0.72/0.98  (step @p493 :rule trans :premises (@p492 @p221))
% 0.72/0.98  (step @p494 :rule cong :premises (@p493) :args ((not @t237)))
% 0.72/0.98  (step @p495 :rule trans :premises (@p494 @p220))
% 0.72/0.98  (step @p496 :rule arith-elim-lt :args (@t236 @t233))
% 0.72/0.98  (step @p497 :rule trans :premises (@p496 @p495))
% 0.72/0.98  (step @p498 :rule arith-elim-lt :args (@t50 1))
% 0.72/0.98  (step @p499 :rule symm :premises (@p498))
% 0.72/0.98  (step @p500 :rule eq_resolve :premises (@p773 @p499))
% 0.72/0.98  (step @p501 :rule int_tight_ub :premises (@p500))
% 0.72/0.98  (step @p325 :rule arith_mult_neg :args (-1 @t55))
% 0.72/0.98  (step @p254 :rule evaluate :args (@t161))
% 0.72/0.98  (step @p255 :rule true_elim :premises (@p254))
% 0.72/0.98  (step @p326 :rule and_intro :premises (@p255 @p35))
% 0.72/0.98  (step @p327 :rule modus_ponens :premises (@p326 @p325))
% 0.72/0.98  (step @p445 :rule arith-elim-lt :args (@t215 0))
% 0.72/0.98  (step @p446 :rule symm :premises (@p445))
% 0.72/0.98  (step @p502 :rule eq_resolve :premises (@p775 @p446))
% 0.72/0.98  (step @p503 :rule arith_mult_neg :args (-1 @t204))
% 0.72/0.98  (step @p504 :rule and_intro :premises (@p255 @p777))
% 0.72/0.98  (step @p505 :rule modus_ponens :premises (@p504 @p503))
% 0.72/0.98  (step @p506 :rule arith_sum_ub :premises (@p505 @p502 @p327 @p501))
% 0.72/0.98  (step @p507 false :rule eq_resolve :premises (@p506 @p497))
% 0.72/0.98  (step-pop @p778 :rule scope :premises (@p507))
% 0.72/0.98  (step @p508 :rule process_scope :premises (@p778) :args (false))
% 0.72/0.98  (step @p414 :rule arith_poly_norm :args (@t221))
% 0.72/0.98  (step @p415 :rule arith_poly_norm_rel :premises (@p414) :args (@t222))
% 0.72/0.98  (step @p416 :rule symm :premises (@p415))
% 0.72/0.98  (step @p510 :rule eq_resolve :premises (@p776 @p416))
% 0.72/0.98  (step @p511 false :rule contra :premises (@p510 @p508))
% 0.72/0.98  (step-pop @p779 :rule scope :premises (@p511))
% 0.72/0.98  (step-pop @p780 :rule scope :premises (@p779))
% 0.72/0.98  (step-pop @p781 :rule scope :premises (@p780))
% 0.72/0.98  (step-pop @p782 :rule scope :premises (@p781))
% 0.72/0.98  (step @p512 :rule process_scope :premises (@p782) :args (false))
% 0.72/0.98  (assume-push @p783 @t55)
% 0.72/0.98  (assume-push @p784 @t230)
% 0.72/0.98  (assume-push @p785 @t223)
% 0.72/0.98  (assume-push @p786 @t232)
% 0.72/0.98  (assume-push @p787 @t223)
% 0.72/0.98  (step @p429 :rule cong :premises (@p785) :args (@t50))
% 0.72/0.98  (step-pop @p788 :rule scope :premises (@p429))
% 0.72/0.98  (step @p522 :rule process_scope :premises (@p788) :args (@t201))
% 0.72/0.98  (step @p524 :rule modus_ponens :premises (@p785 @p522))
% 0.72/0.98  (step @p525 :rule and_intro :premises (@p786 @p35 @p784 @p524))
% 0.72/0.98  (step-pop @p789 :rule scope :premises (@p525))
% 0.72/0.98  (step-pop @p790 :rule scope :premises (@p789))
% 0.72/0.98  (step-pop @p791 :rule scope :premises (@p790))
% 0.72/0.98  (step-pop @p792 :rule scope :premises (@p791))
% 0.72/0.98  (step @p526 :rule process_scope :premises (@p792) :args (@t238))
% 0.72/0.98  (step @p531 :rule implies_elim :premises (@p526))
% 0.72/0.98  (step @p532 :rule resolution :premises (@p531 @p512) :args (true @t238))
% 0.72/0.98  (step @p533 :rule not_and :premises (@p532))
% 0.72/0.98  (step @p534 :rule eq_resolve :premises (@p533 @p477))
% 0.72/0.98  (step @p535 :rule reordering :premises (@p534) :args ((or @t168 @t226 @t231 @t225)))
% 0.72/0.98  (step @p536 :rule refl :args (@t200))
% 0.72/0.98  (step @p537 :rule refl :args (@t232))
% 0.72/0.98  (step @p538 :rule bool-double-not-elim :args (@t51))
% 0.72/0.98  (step @p539 :rule nary_cong :premises (@p538 @p537 @p536) :args ((or (not @t52) @t232 @t200)))
% 0.72/0.98  (assume-push @p793 @t52)
% 0.72/0.98  (assume-push @p794 @t231)
% 0.72/0.98  (assume-push @p795 @t52)
% 0.72/0.98  (assume-push @p796 @t231)
% 0.72/0.98  (step @p544 :rule arith_trichotomy :premises (@p13 @p794))
% 0.72/0.98  (step @p545 :rule int_tight_lb :premises (@p544))
% 0.72/0.98  (step-pop @p797 :rule scope :premises (@p545))
% 0.72/0.98  (step-pop @p798 :rule scope :premises (@p797))
% 0.72/0.98  (step @p546 :rule process_scope :premises (@p798) :args (@t200))
% 0.72/0.98  (step @p549 :rule and_intro :premises (@p13 @p794))
% 0.72/0.98  (step @p550 :rule modus_ponens :premises (@p549 @p546))
% 0.72/0.98  (step-pop @p799 :rule scope :premises (@p550))
% 0.72/0.98  (step-pop @p800 :rule scope :premises (@p799))
% 0.72/0.98  (step @p551 :rule process_scope :premises (@p800) :args (@t200))
% 0.72/0.98  (step @p554 :rule implies_elim :premises (@p551))
% 0.72/0.98  (step @p555 :rule cnf_and_neg :args (@t239))
% 0.72/0.98  (step @p556 :rule resolution :premises (@p555 @p554) :args (true @t239))
% 0.72/0.98  (step @p557 :rule eq_resolve :premises (@p556 @p539))
% 0.72/0.98  (step @p558 :rule chain_m_resolution :premises (@p557 @p13 @p535 @p473 @p35 @p442 @p377 @p35) :args (@t225 (@list true false true false true false false) (@list @t51 @t231 @t226 @t55 @t200 @t194 @t55)))
% 0.72/0.98  (step @p559 :rule refl :args (@t242))
% 0.72/0.98  (step @p560 :rule bool-double-not-elim :args (@t223))
% 0.72/0.98  (step @p561 :rule refl :args (@t243))
% 0.72/0.98  (step @p562 :rule nary_cong :premises (@p561 @p560 @p559) :args ((or @t243 (not @t225) @t242)))
% 0.72/0.98  (assume-push @p801 @t84)
% 0.72/0.98  (assume-push @p802 @t225)
% 0.72/0.98  (assume-push @p803 @t225)
% 0.72/0.98  (assume-push @p804 @t84)
% 0.72/0.98  (step @p567 :rule false_intro :premises (@p802))
% 0.72/0.98  (step @p568 :rule cong :premises (@p140 @p138) :args (@t240))
% 0.72/0.98  (step @p569 :rule refl :args (@t49))
% 0.72/0.98  (step @p570 :rule cong :premises (@p569 @p568) :args (@t241))
% 0.72/0.98  (step @p571 :rule trans :premises (@p570 @p567))
% 0.72/0.98  (step @p572 :rule false_elim :premises (@p571))
% 0.72/0.98  (step-pop @p805 :rule scope :premises (@p572))
% 0.72/0.98  (step-pop @p806 :rule scope :premises (@p805))
% 0.72/0.98  (step @p573 :rule process_scope :premises (@p806) :args (@t242))
% 0.72/0.98  (step @p576 :rule and_intro :premises (@p802 @p92))
% 0.72/0.98  (step @p577 :rule modus_ponens :premises (@p576 @p573))
% 0.72/0.98  (step-pop @p807 :rule scope :premises (@p577))
% 0.72/0.98  (step-pop @p808 :rule scope :premises (@p807))
% 0.72/0.98  (step @p578 :rule process_scope :premises (@p808) :args (@t242))
% 0.72/0.98  (step @p581 :rule implies_elim :premises (@p578))
% 0.72/0.98  (step @p582 :rule cnf_and_neg :args (@t244))
% 0.72/0.98  (step @p583 :rule resolution :premises (@p582 @p581) :args (true @t244))
% 0.72/0.98  (step @p584 :rule eq_resolve :premises (@p583 @p562))
% 0.72/0.98  (step @p585 :rule chain_m_resolution :premises (@p584 @p558 @p92) :args (@t242 @t74 (@list @t223 @t84)))
% 0.72/0.98  (assume-push @p809 @t187)
% 0.72/0.98  (assume-push @p810 @t84)
% 0.72/0.98  (assume-push @p811 @t84)
% 0.72/0.98  (assume-push @p812 @t187)
% 0.72/0.98  (step @p590 :rule cong :premises (@p140 @p92) :args (@t190))
% 0.72/0.98  (step @p591 :rule symm :premises (@p809))
% 0.72/0.98  (step @p592 :rule cong :premises (@p140 @p591) :args (@t49))
% 0.72/0.98  (step @p593 :rule trans :premises (@p592 @p590))
% 0.72/0.98  (step-pop @p813 :rule scope :premises (@p593))
% 0.72/0.98  (step-pop @p814 :rule scope :premises (@p813))
% 0.72/0.98  (step @p594 :rule process_scope :premises (@p814) :args (@t241))
% 0.72/0.98  (step @p597 :rule and_intro :premises (@p92 @p809))
% 0.72/0.98  (step @p598 :rule modus_ponens :premises (@p597 @p594))
% 0.72/0.98  (step-pop @p815 :rule scope :premises (@p598))
% 0.72/0.98  (step-pop @p816 :rule scope :premises (@p815))
% 0.72/0.98  (step @p599 :rule process_scope :premises (@p816) :args (@t241))
% 0.72/0.98  (step @p602 :rule implies_elim :premises (@p599))
% 0.72/0.98  (step @p603 :rule cnf_and_neg :args (@t245))
% 0.72/0.98  (step @p604 :rule resolution :premises (@p603 @p602) :args (true @t245))
% 0.72/0.98  (step @p605 :rule chain_m_resolution :premises (@p604 @p585 @p92) :args ((not @t187) @t74 (@list @t241 @t84)))
% 0.72/0.98  (step @p606 :rule cnf_equiv_pos2 :args (@t189))
% 0.72/0.98  (step @p607 :rule reordering :premises (@p606) :args ((or @t187 @t246 (not @t189))))
% 0.72/0.98  (step @p608 :rule chain_m_resolution :premises (@p607 @p605 @p357) :args (@t246 @t74 (@list @t187 @t189)))
% 0.72/0.98  (step @p609 :rule refl :args (@t170))
% 0.72/0.98  (step @p610 :rule bool-double-not-elim :args (@t247))
% 0.72/0.98  (step @p611 :rule bool-double-not-elim :args (@t186))
% 0.72/0.98  (step @p612 :rule refl :args (@t248))
% 0.72/0.98  (step @p613 :rule nary_cong :premises (@p561 @p612 @p611 @p610 @p609) :args ((or @t243 @t248 (not @t246) (not @t249) @t170)))
% 0.72/0.98  (assume-push @p817 @t84)
% 0.72/0.98  (assume-push @p818 @t108)
% 0.72/0.98  (assume-push @p819 @t246)
% 0.72/0.98  (assume-push @p820 @t249)
% 0.72/0.98  (assume-push @p821 @t251)
% 0.72/0.98  (assume-push @p822 @t249)
% 0.72/0.98  (step @p332 :rule arith-elim-lt :args (@t113 0))
% 0.72/0.98  (step @p620 :rule arith-elim-lt :args (@t113 1))
% 0.72/0.98  (step @p621 :rule symm :premises (@p620))
% 0.72/0.98  (step @p622 :rule eq_resolve :premises (@p820 @p621))
% 0.72/0.98  (step @p623 :rule int_tight_ub :premises (@p622))
% 0.72/0.98  (step @p624 :rule symm :premises (@p821))
% 0.72/0.98  (step @p625 :rule arith_trichotomy :premises (@p624 @p623))
% 0.72/0.98  (step @p626 :rule eq_resolve :premises (@p625 @p332))
% 0.72/0.98  (step-pop @p823 :rule scope :premises (@p626))
% 0.72/0.98  (step-pop @p824 :rule scope :premises (@p823))
% 0.72/0.98  (step @p627 :rule process_scope :premises (@p824) :args (@t170))
% 0.72/0.98  (assume-push @p825 @t134)
% 0.72/0.98  (assume-push @p826 @t108)
% 0.72/0.98  (assume-push @p827 (= @t113 @t107))
% 0.72/0.98  (assume-push @p828 @t246)
% 0.72/0.98  (step @p634 :rule arith_poly_norm :args ((= (* 1 (- 0 @t113)) (* -1 (- @t113 0)))))
% 0.72/0.98  (step @p635 :rule arith_poly_norm_rel :premises (@p634) :args ((= @t250 @t252)))
% 0.72/0.98  (step @p636 :rule cong :premises (@p635) :args (@t251))
% 0.72/0.98  (step @p637 :rule bool-eq-false :args (@t250))
% 0.72/0.98  (step @p638 :rule trans :premises (@p637 @p636))
% 0.72/0.98  (step @p639 :rule symm :premises (@p638))
% 0.72/0.98  (step @p640 :rule bool-eq-false :args (@t252))
% 0.72/0.98  (step @p641 :rule trans :premises (@p640 @p639))
% 0.72/0.98  (step @p642 :rule false_intro :premises (@p819))
% 0.72/0.98  (step @p223 :rule refl :args (0))
% 0.72/0.98  (step @p643 :rule cong :premises (@p157 @p223) :args (@t252))
% 0.72/0.98  (step @p644 :rule trans :premises (@p643 @p642))
% 0.72/0.98  (step @p645 :rule eq_resolve :premises (@p644 @p641))
% 0.72/0.98  (step @p646 :rule false_elim :premises (@p645))
% 0.72/0.98  (step-pop @p829 :rule scope :premises (@p646))
% 0.72/0.98  (step-pop @p830 :rule scope :premises (@p829))
% 0.72/0.98  (step-pop @p831 :rule scope :premises (@p830))
% 0.72/0.98  (step-pop @p832 :rule scope :premises (@p831))
% 0.72/0.98  (step @p647 :rule process_scope :premises (@p832) :args (@t251))
% 0.72/0.98  (step @p652 :rule and_intro :premises (@p96 @p154 @p156 @p819))
% 0.72/0.98  (step @p653 :rule modus_ponens :premises (@p652 @p647))
% 0.72/0.98  (step @p654 :rule and_intro :premises (@p653 @p820))
% 0.72/0.98  (step @p655 :rule modus_ponens :premises (@p654 @p627))
% 0.72/0.98  (step-pop @p833 :rule scope :premises (@p655))
% 0.72/0.98  (step-pop @p834 :rule scope :premises (@p833))
% 0.72/0.98  (step-pop @p835 :rule scope :premises (@p834))
% 0.72/0.98  (step-pop @p836 :rule scope :premises (@p835))
% 0.72/0.98  (step @p656 :rule process_scope :premises (@p836) :args (@t170))
% 0.72/0.98  (step @p661 :rule implies_elim :premises (@p656))
% 0.72/0.98  (step @p662 :rule cnf_and_neg :args (@t253))
% 0.72/0.98  (step @p663 :rule resolution :premises (@p662 @p661) :args (true @t253))
% 0.72/0.98  (step @p664 :rule eq_resolve :premises (@p663 @p613))
% 0.72/0.98  (step @p665 :rule reordering :premises (@p664) :args ((or @t243 @t186 @t248 @t170 @t247)))
% 0.72/0.98  (step @p666 :rule chain_m_resolution :premises (@p665 @p92 @p608 @p154 @p348) :args (@t247 (@list false true false false) (@list @t84 @t186 @t108 @t165)))
% 0.72/0.98  (assume-push @p837 @t166)
% 0.72/0.98  (assume-push @p838 @t133)
% 0.72/0.98  (assume-push @p839 @t65)
% 0.72/0.98  (assume-push @p840 @t55)
% 0.72/0.98  (assume-push @p841 @t247)
% 0.72/0.98  (step @p383 :rule evaluate :args (@t205))
% 0.72/0.98  (step @p672 :rule evaluate :args ((+ -1 0 -1 1 0)))
% 0.72/0.98  (step @p223 :rule refl :args (0))
% 0.72/0.98  (step @p386 :rule evaluate :args (@t207))
% 0.72/0.98  (step @p673 :rule nary_cong :premises (@p159 @p223 @p159 @p386 @p223) :args (@t254))
% 0.72/0.98  (step @p674 :rule trans :premises (@p673 @p672))
% 0.72/0.98  (step @p675 :rule arith_poly_norm :args ((= (+ @t255 0 @t113 @t61 @t173 0) 0)))
% 0.72/0.98  (step @p391 :rule arith_poly_norm :args (@t211))
% 0.72/0.98  (step @p302 :rule refl :args (@t173))
% 0.72/0.98  (step @p301 :rule refl :args (@t61))
% 0.72/0.98  (step @p676 :rule refl :args (@t113))
% 0.72/0.98  (step @p677 :rule arith_poly_norm :args ((= @t256 0)))
% 0.72/0.98  (step @p678 :rule refl :args (@t255))
% 0.72/0.98  (step @p679 :rule nary_cong :premises (@p678 @p677 @p676 @p301 @p302 @p391) :args (@t257))
% 0.72/0.98  (step @p680 :rule trans :premises (@p679 @p675))
% 0.72/0.98  (step @p681 :rule arith_poly_norm :args ((= @t258 @t257)))
% 0.72/0.98  (step @p682 :rule trans :premises (@p681 @p680))
% 0.72/0.98  (step @p683 :rule cong :premises (@p682 @p674) :args ((<= @t258 @t254)))
% 0.72/0.98  (step @p684 :rule trans :premises (@p683 @p383))
% 0.72/0.98  (step @p685 :rule arith_mult_neg :args (-1 @t184))
% 0.72/0.98  (step @p328 :rule arith_poly_norm :args (@t183))
% 0.72/0.98  (step @p329 :rule arith_poly_norm_rel :premises (@p328) :args (@t185))
% 0.72/0.98  (step @p330 :rule symm :premises (@p329))
% 0.72/0.98  (step @p331 :rule eq_resolve :premises (@p64 @p330))
% 0.72/0.98  (step @p254 :rule evaluate :args (@t161))
% 0.72/0.98  (step @p255 :rule true_elim :premises (@p254))
% 0.72/0.98  (step @p686 :rule and_intro :premises (@p255 @p331))
% 0.72/0.98  (step @p687 :rule modus_ponens :premises (@p686 @p685))
% 0.72/0.98  (step @p688 :rule arith_mult_neg :args (-1 @t133))
% 0.72/0.98  (step @p689 :rule and_intro :premises (@p255 @p838))
% 0.72/0.98  (step @p690 :rule modus_ponens :premises (@p689 @p688))
% 0.72/0.98  (step @p315 :rule arith_poly_norm :args (@t181))
% 0.72/0.98  (step @p316 :rule arith_poly_norm_rel :premises (@p315) :args (@t182))
% 0.72/0.98  (step @p691 :rule symm :premises (@p316))
% 0.72/0.98  (step @p692 :rule eq_resolve :premises (@p157 @p691))
% 0.72/0.98  (step @p693 :rule arith_mult_neg :args (-1 @t247))
% 0.72/0.98  (step @p694 :rule and_intro :premises (@p255 @p841))
% 0.72/0.98  (step @p695 :rule modus_ponens :premises (@p694 @p693))
% 0.72/0.98  (step @p696 :rule arith_sum_ub :premises (@p695 @p692 @p690 @p687 @p35))
% 0.72/0.98  (step @p697 false :rule eq_resolve :premises (@p696 @p684))
% 0.72/0.98  (step-pop @p842 :rule scope :premises (@p697))
% 0.72/0.98  (step-pop @p843 :rule scope :premises (@p842))
% 0.72/0.98  (step-pop @p844 :rule scope :premises (@p843))
% 0.72/0.98  (step-pop @p845 :rule scope :premises (@p844))
% 0.72/0.98  (step-pop @p846 :rule scope :premises (@p845))
% 0.72/0.98  (step @p698 :rule process_scope :premises (@p846) :args (false))
% 0.72/0.98  (step @p704 :rule not_and :premises (@p698))
% 0.72/0.98  (step @p705 :rule reordering :premises (@p704) :args ((or @t168 @t169 @t167 @t139 @t249)))
% 0.72/0.98  (step @p706 false :rule chain_m_resolution :premises (@p705 @p666 @p278 @p157 @p64 @p35) :args (false (@list false false false false false) (@list @t247 @t133 @t166 @t65 @t55)))
% 0.72/0.98  )
% 0.72/0.98  % SZS output end Proof
% 0.72/0.98  % cvc5 exiting
%------------------------------------------------------------------------------