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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : DAT053_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 : n009.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 0.52s 0.70s
% Output   : Proof 0.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : DAT053_1 : TPTP v9.2.1. Released v5.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n009.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 : Mon Jun  1 22:27:14 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.30/0.48  %----Proving TF0_ARI
% 0.52/0.70  --- Run --finite-model-find --decision=internal at 45...
% 0.52/0.70  % SZS status Theorem
% 0.52/0.70  % SZS output start Proof
% 0.52/0.70  (
% 0.52/0.70  (declare-sort tptp.record 0)
% 0.52/0.70  (declare-const tptp.b tptp.record)
% 0.52/0.70  (declare-const tptp.split2 (-> tptp.record tptp.record))
% 0.52/0.70  (declare-const tptp.data (-> tptp.record Int))
% 0.52/0.70  (declare-const tptp.split1 (-> tptp.record tptp.record))
% 0.52/0.70  (declare-const tptp.next (-> tptp.record tptp.record))
% 0.52/0.70  (declare-const tptp.isrecord (-> tptp.record Bool))
% 0.52/0.70  (declare-const tptp.a tptp.record)
% 0.52/0.70  (declare-const tptp.length (-> tptp.record Int))
% 0.52/0.70  (define @t1 () (@var "U" tptp.record))
% 0.52/0.70  (define @t2 () (tptp.length @t1))
% 0.52/0.70  (define @t3 () (tptp.isrecord @t1))
% 0.52/0.70  (define @t4 () (not @t3))
% 0.52/0.70  (define @t5 () (@list @t1))
% 0.52/0.70  (define @t6 () (tptp.next @t1))
% 0.52/0.70  (define @t7 () (tptp.length @t6))
% 0.52/0.70  (define @t8 () (+ @t7 1))
% 0.52/0.70  (define @t9 () (= @t2 @t8))
% 0.52/0.70  (define @t10 () (=> @t3 @t9))
% 0.52/0.70  (define @t11 () (forall @t5 @t10))
% 0.52/0.70  (define @t12 () (tptp.split1 @t1))
% 0.52/0.70  (define @t13 () (tptp.isrecord @t12))
% 0.52/0.70  (define @t14 () (forall @t5 (=> @t3 @t13)))
% 0.52/0.70  (define @t15 () (tptp.next @t12))
% 0.52/0.70  (define @t16 () (tptp.isrecord @t6))
% 0.52/0.70  (define @t17 () (not @t16))
% 0.52/0.70  (define @t18 () (tptp.next @t6))
% 0.52/0.70  (define @t19 () (= @t15 (tptp.split1 @t18)))
% 0.52/0.70  (define @t20 () (and @t3 @t16))
% 0.52/0.70  (define @t21 () (forall @t5 (=> @t20 @t19)))
% 0.52/0.70  (define @t22 () (tptp.split2 @t1))
% 0.52/0.70  (define @t23 () (tptp.isrecord @t22))
% 0.52/0.70  (define @t24 () (not @t23))
% 0.52/0.70  (define @t25 () (tptp.length tptp.b))
% 0.52/0.70  (define @t26 () (tptp.split1 tptp.b))
% 0.52/0.70  (define @t27 () (tptp.length @t26))
% 0.52/0.70  (define @t28 () (* 2 @t27))
% 0.52/0.70  (define @t29 () (= @t28 @t25))
% 0.52/0.70  (define @t30 () (+ @t25 1))
% 0.52/0.70  (define @t31 () (= @t28 @t30))
% 0.52/0.70  (define @t32 () (or @t31 @t29))
% 0.52/0.70  (define @t33 () (tptp.length tptp.a))
% 0.52/0.70  (define @t34 () (tptp.split1 tptp.a))
% 0.52/0.70  (define @t35 () (tptp.length @t34))
% 0.52/0.70  (define @t36 () (* 2 @t35))
% 0.52/0.70  (define @t37 () (= @t36 @t33))
% 0.52/0.70  (define @t38 () (+ @t33 1))
% 0.52/0.70  (define @t39 () (= @t36 @t38))
% 0.52/0.70  (define @t40 () (or @t39 @t37))
% 0.52/0.70  (define @t41 () (tptp.next tptp.b))
% 0.52/0.70  (define @t42 () (tptp.next @t41))
% 0.52/0.70  (define @t43 () (tptp.isrecord @t41))
% 0.52/0.70  (define @t44 () (tptp.isrecord tptp.b))
% 0.52/0.70  (define @t45 () (and @t44 @t43 (= @t42 tptp.a) @t40))
% 0.52/0.70  (define @t46 () (=> @t45 @t32))
% 0.52/0.70  (define @t47 () (not @t46))
% 0.52/0.70  (define @t48 () (+ 1 @t7))
% 0.52/0.70  (define @t49 () (= @t2 @t48))
% 0.52/0.70  (define @t50 () (@list tptp.b))
% 0.52/0.70  (define @t51 () (= @t25 @t28))
% 0.52/0.70  (define @t52 () (+ -1 @t28))
% 0.52/0.70  (define @t53 () (= @t25 @t52))
% 0.52/0.70  (define @t54 () (or @t53 @t51))
% 0.52/0.70  (define @t55 () (tptp.split1 @t42))
% 0.52/0.70  (define @t56 () (tptp.length @t55))
% 0.52/0.70  (define @t57 () (* 2 @t56))
% 0.52/0.70  (define @t58 () (tptp.length @t42))
% 0.52/0.70  (define @t59 () (= @t58 @t57))
% 0.52/0.70  (define @t60 () (+ -1 @t57))
% 0.52/0.70  (define @t61 () (= @t58 @t60))
% 0.52/0.70  (define @t62 () (or @t61 @t59))
% 0.52/0.70  (define @t63 () (and @t44 @t43 (= @t42 @t42) @t62))
% 0.52/0.70  (define @t64 () (=> @t63 @t54))
% 0.52/0.70  (define @t65 () (- @t25 @t28))
% 0.52/0.70  (define @t66 () (- @t25 @t52))
% 0.52/0.70  (define @t67 () (+ 1 @t25))
% 0.52/0.70  (define @t68 () (= @t33 @t36))
% 0.52/0.70  (define @t69 () (+ -1 @t36))
% 0.52/0.70  (define @t70 () (+ 1 @t33))
% 0.52/0.70  (define @t71 () (= @t33 @t69))
% 0.52/0.70  (define @t72 () (or @t71 @t68))
% 0.52/0.70  (define @t73 () (= tptp.a @t42))
% 0.52/0.70  (define @t74 () (and @t44 @t43 @t73 @t72))
% 0.52/0.70  (define @t75 () (=> @t74 @t54))
% 0.52/0.70  (define @t76 () (tptp.isrecord @t26))
% 0.52/0.70  (define @t77 () (not @t44))
% 0.52/0.70  (define @t78 () (or @t77 @t76))
% 0.52/0.70  (define @t79 () (@list false false))
% 0.52/0.70  (define @t80 () (tptp.next @t26))
% 0.52/0.70  (define @t81 () (tptp.length @t80))
% 0.52/0.70  (define @t82 () (+ 1 @t81))
% 0.52/0.70  (define @t83 () (= @t27 @t82))
% 0.52/0.70  (define @t84 () (not @t76))
% 0.52/0.70  (define @t85 () (or @t84 @t83))
% 0.52/0.70  (define @t86 () (tptp.length @t41))
% 0.52/0.70  (define @t87 () (+ 1 @t86))
% 0.52/0.70  (define @t88 () (= @t25 @t87))
% 0.52/0.70  (define @t89 () (or @t77 @t88))
% 0.52/0.70  (define @t90 () (+ -1 @t86))
% 0.52/0.70  (define @t91 () (- @t58 @t90))
% 0.52/0.70  (define @t92 () (+ 1 @t58))
% 0.52/0.70  (define @t93 () (= @t58 @t90))
% 0.52/0.70  (define @t94 () (= @t86 @t92))
% 0.52/0.70  (define @t95 () (not @t43))
% 0.52/0.70  (define @t96 () (or @t95 @t94))
% 0.52/0.70  (define @t97 () (forall @t5 (or @t4 @t49)))
% 0.52/0.70  (define @t98 () (or @t95 @t93))
% 0.52/0.70  (define @t99 () (@list false))
% 0.52/0.70  (define @t100 () (or @t4 @t17 @t19))
% 0.52/0.70  (define @t101 () (or @t77 @t95 (= @t80 @t55)))
% 0.52/0.70  (define @t102 () (forall @t5 @t100))
% 0.52/0.70  (define @t103 () (= @t55 @t80))
% 0.52/0.70  (define @t104 () (or @t77 @t95 @t103))
% 0.52/0.70  (define @t105 () (* -1 @t58))
% 0.52/0.70  (define @t106 () (+ @t57 @t105))
% 0.52/0.70  (define @t107 () (>= @t106 0))
% 0.52/0.70  (define @t108 () (< @t106 0))
% 0.52/0.70  (define @t109 () (not true))
% 0.52/0.70  (define @t110 () (+ 0 -1))
% 0.52/0.70  (define @t111 () (* -1 1))
% 0.52/0.70  (define @t112 () (+ 0 @t111))
% 0.52/0.70  (define @t113 () (+ 0 0))
% 0.52/0.70  (define @t114 () (* 0 @t56))
% 0.52/0.70  (define @t115 () (= @t114 0))
% 0.52/0.70  (define @t116 () (* 0 @t58))
% 0.52/0.70  (define @t117 () (= @t116 0))
% 0.52/0.70  (define @t118 () (+ @t116 @t114))
% 0.52/0.70  (define @t119 () (* -1 @t106))
% 0.52/0.70  (define @t120 () (+ @t106 @t119))
% 0.52/0.70  (define @t121 () (= @t120 @t118))
% 0.52/0.70  (define @t122 () (>= @t120 @t112))
% 0.52/0.70  (define @t123 () (= @t106 1))
% 0.52/0.70  (define @t124 () (- @t58 @t60))
% 0.52/0.70  (define @t125 () (- @t106 1))
% 0.52/0.70  (define @t126 () (= (* 1 @t125) (* -1 @t124)))
% 0.52/0.70  (define @t127 () (= @t123 @t61))
% 0.52/0.70  (define @t128 () (< -1 0))
% 0.52/0.70  (define @t129 () (not @t59))
% 0.52/0.70  (define @t130 () (not @t107))
% 0.52/0.70  (define @t131 () (= @t106 0))
% 0.52/0.70  (define @t132 () (<= 0 -1))
% 0.52/0.70  (define @t133 () (* -1 0))
% 0.52/0.70  (define @t134 () (+ @t133 -1))
% 0.52/0.70  (define @t135 () (+ @t119 @t106))
% 0.52/0.70  (define @t136 () (= (* -2 (- @t106 0)) (* 2 (- @t58 @t57))))
% 0.52/0.70  (define @t137 () (= @t131 @t59))
% 0.52/0.70  (define @t138 () (not @t83))
% 0.52/0.70  (define @t139 () (not @t88))
% 0.52/0.70  (define @t140 () (not @t93))
% 0.52/0.70  (define @t141 () (not @t103))
% 0.52/0.70  (define @t142 () (* -2 @t27))
% 0.52/0.70  (define @t143 () (+ @t25 @t142))
% 0.52/0.70  (define @t144 () (>= @t143 0))
% 0.52/0.70  (define @t145 () (not @t144))
% 0.52/0.70  (define @t146 () (not @t51))
% 0.52/0.70  (define @t147 () (= @t56 @t81))
% 0.52/0.70  (define @t148 () (>= @t143 1))
% 0.52/0.70  (define @t149 () (* -1 -1))
% 0.52/0.70  (define @t150 () (* -2 1))
% 0.52/0.70  (define @t151 () (* 2 0))
% 0.52/0.70  (define @t152 () (+ @t111 @t151 @t150 1 @t133 @t149))
% 0.52/0.70  (define @t153 () (* -2 @t56))
% 0.52/0.70  (define @t154 () (* 0 @t25))
% 0.52/0.70  (define @t155 () (= @t154 0))
% 0.52/0.70  (define @t156 () (* 0 @t86))
% 0.52/0.70  (define @t157 () (= @t156 0))
% 0.52/0.70  (define @t158 () (* 0 @t81))
% 0.52/0.70  (define @t159 () (= @t158 0))
% 0.52/0.70  (define @t160 () (+ @t158 @t156 @t28 @t58 @t105 @t153 @t57 @t142 @t154))
% 0.52/0.70  (define @t161 () (* -1 @t86))
% 0.52/0.70  (define @t162 () (+ @t58 @t161))
% 0.52/0.70  (define @t163 () (+ @t25 @t161))
% 0.52/0.70  (define @t164 () (* -1 @t81))
% 0.52/0.70  (define @t165 () (+ @t27 @t164))
% 0.52/0.70  (define @t166 () (+ @t56 @t164))
% 0.52/0.70  (define @t167 () (+ (* -1 @t143) (* 2 @t166) (* -2 @t165) @t163 @t119 (* -1 @t162)))
% 0.52/0.70  (define @t168 () (= @t162 -1))
% 0.52/0.70  (define @t169 () (= (* 1 (- @t162 -1)) (* 1 @t91)))
% 0.52/0.70  (define @t170 () (= @t168 @t93))
% 0.52/0.70  (define @t171 () (= (* -1 (- @t163 1)) (* -1 (- @t25 @t87))))
% 0.52/0.70  (define @t172 () (= @t163 1))
% 0.52/0.70  (define @t173 () (= @t172 @t88))
% 0.52/0.70  (define @t174 () (= @t165 1))
% 0.52/0.70  (define @t175 () (= (* -1 (- @t165 1)) (* -1 (- @t27 @t82))))
% 0.52/0.70  (define @t176 () (= @t174 @t83))
% 0.52/0.70  (define @t177 () (< -2 0))
% 0.52/0.70  (define @t178 () (= @t166 0))
% 0.52/0.70  (define @t179 () (= (* 1 (- @t166 0)) (* 1 (- @t56 @t81))))
% 0.52/0.70  (define @t180 () (= @t178 @t147))
% 0.52/0.70  (define @t181 () (> 2 0))
% 0.52/0.70  (define @t182 () (= @t143 0))
% 0.52/0.70  (define @t183 () (and @t93 @t107 @t88 @t83 @t147 @t146 @t144))
% 0.52/0.70  (define @t184 () (>= @t106 2))
% 0.52/0.70  (define @t185 () (not @t184))
% 0.52/0.70  (define @t186 () (not @t53))
% 0.52/0.70  (define @t187 () (+ -2 1))
% 0.52/0.70  (define @t188 () (>= @t143 @t187))
% 0.52/0.70  (define @t189 () (<= @t143 -2))
% 0.52/0.70  (define @t190 () (>= 0 0))
% 0.52/0.70  (define @t191 () (* 2 1))
% 0.52/0.70  (define @t192 () (* -2 0))
% 0.52/0.70  (define @t193 () (+ -2 @t192 @t191 @t111 2 -1))
% 0.52/0.70  (define @t194 () (+ @t158 @t156 @t142 @t105 @t58 @t57 @t153 @t28 @t154))
% 0.52/0.70  (define @t195 () (+ @t143 (* -2 @t166) (* 2 @t165) (* -1 @t163) @t106 @t162))
% 0.52/0.70  (define @t196 () (>= @t195 @t193))
% 0.52/0.70  (define @t197 () (= @t143 -1))
% 0.52/0.70  (define @t198 () (and @t93 @t185 @t88 @t83 @t147 @t186 @t145))
% 0.52/0.70  (define @t199 () (+ @t106 1))
% 0.52/0.70  (define @t200 () (>= @t58 @t60))
% 0.52/0.70  (define @t201 () (>= @t106 1))
% 0.52/0.70  (define @t202 () (>= @t60 @t58))
% 0.52/0.70  (define @t203 () (<= @t58 @t60))
% 0.52/0.70  (define @t204 () (not @t200))
% 0.52/0.70  (define @t205 () (not @t203))
% 0.52/0.70  (define @t206 () (+ (* -1 @t60) @t60))
% 0.52/0.70  (define @t207 () (+ @t105 @t58))
% 0.52/0.70  (define @t208 () (>= @t207 @t206))
% 0.52/0.70  (define @t209 () (* -1 2))
% 0.52/0.70  (define @t210 () (+ 1 @t209))
% 0.52/0.70  (assume @p1 (forall @t5 (=> @t4 (= @t2 0))))
% 0.52/0.70  (assume @p2 (forall @t5 (=> @t3 (>= @t2 1))))
% 0.52/0.70  (assume @p3 @t11)
% 0.52/0.70  (assume @p4 (forall @t5 (=> @t4 (not @t13))))
% 0.52/0.70  (assume @p5 @t14)
% 0.52/0.70  (assume @p6 (forall @t5 (=> @t3 (= (tptp.data @t12) (tptp.data @t1)))))
% 0.52/0.70  (assume @p7 (forall @t5 (=> (and @t3 @t17) (not (tptp.isrecord @t15)))))
% 0.52/0.70  (assume @p8 @t21)
% 0.52/0.70  (assume @p9 (forall @t5 (=> @t4 @t24)))
% 0.52/0.70  (assume @p10 (forall @t5 (=> @t17 @t24)))
% 0.52/0.70  (assume @p11 (forall @t5 (=> @t20 @t23)))
% 0.52/0.70  (assume @p12 (forall @t5 (=> @t20 (= (tptp.data @t22) (tptp.data @t6)))))
% 0.52/0.70  (assume @p13 (forall @t5 (=> @t20 (= (tptp.next @t22) (tptp.split2 @t18)))))
% 0.52/0.70  (assume @p14 @t47)
% 0.52/0.70  (assume @p15 true)
% 0.52/0.70  (step @p16 :rule bool-impl-elim :args (@t3 @t49))
% 0.52/0.70  (step @p17 :rule cong :premises (@p16) :args ((forall @t5 (=> @t3 @t49))))
% 0.52/0.70  (step @p18 :rule arith_poly_norm :args ((= @t8 @t48)))
% 0.52/0.70  (step @p19 :rule refl :args (@t2))
% 0.52/0.70  (step @p20 :rule cong :premises (@p19 @p18) :args (@t9))
% 0.52/0.70  (step @p21 :rule refl :args (@t3))
% 0.52/0.70  (step @p22 :rule cong :premises (@p21 @p20) :args (@t10))
% 0.52/0.70  (step @p23 :rule cong :premises (@p22) :args (@t11))
% 0.52/0.70  (step @p24 :rule trans :premises (@p23 @p17))
% 0.52/0.70  (step @p25 :rule eq_resolve :premises (@p3 @p24))
% 0.52/0.70  (step @p26 :rule instantiate :premises (@p25) :args ((@list @t26)))
% 0.52/0.70  (step @p27 :rule bool-impl-elim :args (@t3 @t13))
% 0.52/0.70  (step @p28 :rule cong :premises (@p27) :args (@t14))
% 0.52/0.70  (step @p29 :rule eq_resolve :premises (@p5 @p28))
% 0.52/0.70  (step @p30 :rule instantiate :premises (@p29) :args (@t50))
% 0.52/0.70  (step @p31 :rule refl :args (@t54))
% 0.52/0.70  (step @p32 :rule aci_norm :args ((= (and @t44 @t43 true @t62) (and @t44 @t43 @t62))))
% 0.52/0.70  (step @p33 :rule refl :args (@t62))
% 0.52/0.70  (step @p34 :rule eq-refl :args (@t42))
% 0.52/0.70  (step @p35 :rule refl :args (@t43))
% 0.52/0.70  (step @p36 :rule refl :args (@t44))
% 0.52/0.70  (step @p37 :rule nary_cong :premises (@p36 @p35 @p34 @p33) :args (@t63))
% 0.52/0.70  (step @p38 :rule trans :premises (@p37 @p32))
% 0.52/0.70  (step @p39 :rule cong :premises (@p38 @p31) :args (@t64))
% 0.52/0.70  (step @p40 :rule cong :premises (@p39) :args ((not @t64)))
% 0.52/0.70  (step @p41 :rule arith_poly_norm :args ((= (* 1 (- @t28 @t25)) (* -1 @t65))))
% 0.52/0.70  (step @p42 :rule arith_poly_norm_rel :premises (@p41) :args ((= @t29 @t51)))
% 0.52/0.70  (step @p43 :rule arith_poly_norm :args ((= (* 1 (- @t28 @t67)) (* -1 @t66))))
% 0.52/0.70  (step @p44 :rule arith_poly_norm_rel :premises (@p43) :args ((= (= @t28 @t67) @t53)))
% 0.52/0.70  (step @p45 :rule arith_poly_norm :args ((= @t30 @t67)))
% 0.52/0.70  (step @p46 :rule refl :args (@t28))
% 0.52/0.70  (step @p47 :rule cong :premises (@p46 @p45) :args (@t31))
% 0.52/0.70  (step @p48 :rule trans :premises (@p47 @p44))
% 0.52/0.70  (step @p49 :rule nary_cong :premises (@p48 @p42) :args (@t32))
% 0.52/0.70  (step @p50 :rule arith_poly_norm :args ((= (* 1 (- @t36 @t33)) (* -1 (- @t33 @t36)))))
% 0.52/0.70  (step @p51 :rule arith_poly_norm_rel :premises (@p50) :args ((= @t37 @t68)))
% 0.52/0.70  (step @p52 :rule arith_poly_norm :args ((= (* 1 (- @t36 @t70)) (* -1 (- @t33 @t69)))))
% 0.52/0.70  (step @p53 :rule arith_poly_norm_rel :premises (@p52) :args ((= (= @t36 @t70) @t71)))
% 0.52/0.70  (step @p54 :rule arith_poly_norm :args ((= @t38 @t70)))
% 0.52/0.70  (step @p55 :rule refl :args (@t36))
% 0.52/0.70  (step @p56 :rule cong :premises (@p55 @p54) :args (@t39))
% 0.52/0.70  (step @p57 :rule trans :premises (@p56 @p53))
% 0.52/0.70  (step @p58 :rule nary_cong :premises (@p57 @p51) :args (@t40))
% 0.52/0.70  (step @p59 :rule eq-symm :args (@t42 tptp.a))
% 0.52/0.70  (step @p60 :rule nary_cong :premises (@p36 @p35 @p59 @p58) :args (@t45))
% 0.52/0.70  (step @p61 :rule cong :premises (@p60 @p49) :args (@t46))
% 0.52/0.70  (step @p62 :rule cong :premises (@p61) :args (@t47))
% 0.52/0.70  (step @p63 :rule eq_resolve :premises (@p14 @p62))
% 0.52/0.70  (step @p64 :rule not_implies_elim1 :premises (@p63))
% 0.52/0.70  (step @p65 :rule and_elim :premises (@p64) :args (2))
% 0.52/0.70  (step @p66 :rule cong :premises (@p65) :args (@t34))
% 0.52/0.70  (step @p67 :rule cong :premises (@p66) :args (@t35))
% 0.52/0.70  (step @p68 :rule refl :args (2))
% 0.52/0.70  (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t36))
% 0.52/0.70  (step @p70 :rule cong :premises (@p65) :args (@t33))
% 0.52/0.70  (step @p71 :rule cong :premises (@p70 @p69) :args (@t68))
% 0.52/0.70  (step @p72 :rule refl :args (-1))
% 0.52/0.70  (step @p73 :rule nary_cong :premises (@p72 @p69) :args (@t69))
% 0.52/0.70  (step @p74 :rule cong :premises (@p70 @p73) :args (@t71))
% 0.52/0.70  (step @p75 :rule nary_cong :premises (@p74 @p71) :args (@t72))
% 0.52/0.70  (step @p76 :rule refl :args (@t42))
% 0.52/0.70  (step @p77 :rule cong :premises (@p65 @p76) :args (@t73))
% 0.52/0.70  (step @p78 :rule nary_cong :premises (@p36 @p35 @p77 @p75) :args (@t74))
% 0.52/0.70  (step @p79 :rule cong :premises (@p78 @p31) :args (@t75))
% 0.52/0.70  (step @p80 :rule cong :premises (@p79) :args ((not @t75)))
% 0.52/0.70  (step @p81 :rule trans :premises (@p80 @p40))
% 0.52/0.70  (step @p82 :rule trans :premises (@p62 @p81))
% 0.52/0.70  (step @p83 :rule eq_resolve :premises (@p14 @p82))
% 0.52/0.70  (step @p84 :rule not_implies_elim1 :premises (@p83))
% 0.52/0.70  (step @p85 :rule and_elim :premises (@p84) :args (0))
% 0.52/0.70  (step @p86 :rule cnf_or_pos :args (@t78))
% 0.52/0.70  (step @p87 :rule reordering :premises (@p86) :args ((or @t77 @t76 (not @t78))))
% 0.52/0.70  (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p30) :args (@t76 @t79 (@list @t44 @t78)))
% 0.52/0.70  (step @p89 :rule cnf_or_pos :args (@t85))
% 0.52/0.70  (step @p90 :rule reordering :premises (@p89) :args ((or @t84 @t83 (not @t85))))
% 0.52/0.70  (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p26) :args (@t83 @t79 (@list @t76 @t85)))
% 0.52/0.70  (step @p92 :rule instantiate :premises (@p25) :args (@t50))
% 0.52/0.70  (step @p93 :rule cnf_or_pos :args (@t89))
% 0.52/0.70  (step @p94 :rule reordering :premises (@p93) :args ((or @t77 @t88 (not @t89))))
% 0.52/0.70  (step @p95 :rule chain_m_resolution :premises (@p94 @p85 @p92) :args (@t88 @t79 (@list @t44 @t89)))
% 0.52/0.70  (step @p96 :rule arith_poly_norm :args ((= (* 1 (- @t86 @t92)) (* -1 @t91))))
% 0.52/0.70  (step @p97 :rule arith_poly_norm_rel :premises (@p96) :args ((= @t94 @t93)))
% 0.52/0.70  (step @p98 :rule refl :args (@t95))
% 0.52/0.70  (step @p99 :rule nary_cong :premises (@p98 @p97) :args (@t96))
% 0.52/0.70  (step @p100 :rule refl :args (@t97))
% 0.52/0.70  (step @p101 :rule cong :premises (@p100 @p99) :args ((=> @t97 @t96)))
% 0.52/0.70  (assume-push @p550 @t97)
% 0.52/0.70  (step @p103 :rule instantiate :premises (@p25) :args ((@list @t41)))
% 0.52/0.70  (step-pop @p551 :rule scope :premises (@p103))
% 0.52/0.70  (step @p104 :rule process_scope :premises (@p551) :args (@t96))
% 0.52/0.70  (step @p106 :rule eq_resolve :premises (@p104 @p101))
% 0.52/0.70  (step @p107 :rule implies_elim :premises (@p106))
% 0.52/0.70  (step @p108 :rule chain_m_resolution :premises (@p107 @p25) :args (@t98 @t99 (@list @t97)))
% 0.52/0.70  (step @p109 :rule and_elim :premises (@p84) :args (1))
% 0.52/0.70  (step @p110 :rule cnf_or_pos :args (@t98))
% 0.52/0.70  (step @p111 :rule reordering :premises (@p110) :args ((or @t95 @t93 (not @t98))))
% 0.52/0.70  (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p108) :args (@t93 @t79 (@list @t43 @t98)))
% 0.52/0.70  (step @p113 :rule aci_norm :args ((= (or (or @t4 @t17) @t19) @t100)))
% 0.52/0.70  (step @p114 :rule refl :args (@t19))
% 0.52/0.70  (step @p115 :rule bool-and-de-morgan :args (@t3 @t16 true))
% 0.52/0.70  (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or (not @t20) @t19)))
% 0.52/0.70  (step @p117 :rule trans :premises (@p116 @p113))
% 0.52/0.70  (step @p118 :rule bool-impl-elim :args (@t20 @t19))
% 0.52/0.70  (step @p119 :rule trans :premises (@p118 @p117))
% 0.52/0.70  (step @p120 :rule cong :premises (@p119) :args (@t21))
% 0.52/0.70  (step @p121 :rule eq_resolve :premises (@p8 @p120))
% 0.52/0.70  (step @p122 :rule eq-symm :args (@t80 @t55))
% 0.52/0.70  (step @p123 :rule refl :args (@t77))
% 0.52/0.70  (step @p124 :rule nary_cong :premises (@p123 @p98 @p122) :args (@t101))
% 0.52/0.70  (step @p125 :rule refl :args (@t102))
% 0.52/0.70  (step @p126 :rule cong :premises (@p125 @p124) :args ((=> @t102 @t101)))
% 0.52/0.70  (assume-push @p552 @t102)
% 0.52/0.70  (step @p128 :rule instantiate :premises (@p121) :args (@t50))
% 0.52/0.70  (step-pop @p553 :rule scope :premises (@p128))
% 0.52/0.70  (step @p129 :rule process_scope :premises (@p553) :args (@t101))
% 0.52/0.70  (step @p131 :rule eq_resolve :premises (@p129 @p126))
% 0.52/0.70  (step @p132 :rule implies_elim :premises (@p131))
% 0.52/0.70  (step @p133 :rule chain_m_resolution :premises (@p132 @p121) :args (@t104 @t99 (@list @t102)))
% 0.52/0.70  (step @p134 :rule cnf_or_pos :args (@t104))
% 0.52/0.70  (step @p135 :rule reordering :premises (@p134) :args ((or @t77 @t95 @t103 (not @t104))))
% 0.52/0.70  (step @p136 :rule chain_m_resolution :premises (@p135 @p85 @p109 @p133) :args (@t103 (@list false false false) (@list @t44 @t43 @t104)))
% 0.52/0.70  (assume-push @p554 @t61)
% 0.52/0.70  (assume-push @p555 @t61)
% 0.52/0.70  (step @p139 :rule bool-double-not-elim :args (@t107))
% 0.52/0.70  (step @p140 :rule arith-elim-lt :args (@t106 0))
% 0.52/0.70  (step @p141 :rule cong :premises (@p140) :args ((not @t108)))
% 0.52/0.70  (step @p142 :rule trans :premises (@p141 @p139))
% 0.52/0.70  (assume-push @p556 @t108)
% 0.52/0.70  (step @p144 :rule evaluate :args (@t109))
% 0.52/0.70  (step @p145 :rule evaluate :args ((>= 0 -1)))
% 0.52/0.70  (step @p146 :rule evaluate :args (@t110))
% 0.52/0.70  (step @p147 :rule evaluate :args (@t111))
% 0.52/0.70  (step @p148 :rule refl :args (0))
% 0.52/0.70  (step @p149 :rule nary_cong :premises (@p148 @p147) :args (@t112))
% 0.52/0.70  (step @p150 :rule trans :premises (@p149 @p146))
% 0.52/0.70  (step @p151 :rule evaluate :args (@t113))
% 0.52/0.70  (step @p152 :rule arith_poly_norm :args (@t115))
% 0.52/0.70  (step @p153 :rule arith_poly_norm :args (@t117))
% 0.52/0.70  (step @p154 :rule nary_cong :premises (@p153 @p152) :args (@t118))
% 0.52/0.70  (step @p155 :rule trans :premises (@p154 @p151))
% 0.52/0.70  (step @p156 :rule arith_poly_norm :args (@t121))
% 0.52/0.70  (step @p157 :rule trans :premises (@p156 @p155))
% 0.52/0.70  (step @p158 :rule cong :premises (@p157 @p150) :args (@t122))
% 0.52/0.70  (step @p159 :rule trans :premises (@p158 @p145))
% 0.52/0.70  (step @p160 :rule cong :premises (@p159) :args ((not @t122)))
% 0.52/0.70  (step @p161 :rule trans :premises (@p160 @p144))
% 0.52/0.70  (step @p162 :rule arith-elim-lt :args (@t120 @t112))
% 0.52/0.70  (step @p163 :rule trans :premises (@p162 @p161))
% 0.52/0.70  (step @p164 :rule arith_mult_neg :args (-1 @t123))
% 0.52/0.70  (step @p165 :rule arith_poly_norm :args (@t126))
% 0.52/0.70  (step @p166 :rule arith_poly_norm_rel :premises (@p165) :args (@t127))
% 0.52/0.70  (step @p167 :rule symm :premises (@p166))
% 0.52/0.70  (step @p168 :rule eq_resolve :premises (@p554 @p167))
% 0.52/0.70  (step @p169 :rule evaluate :args (@t128))
% 0.52/0.70  (step @p170 :rule true_elim :premises (@p169))
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% 0.52/0.70  (step @p172 :rule modus_ponens :premises (@p171 @p164))
% 0.52/0.70  (step @p173 :rule arith_sum_ub :premises (@p556 @p172))
% 0.52/0.70  (step @p174 false :rule eq_resolve :premises (@p173 @p163))
% 0.52/0.70  (step-pop @p557 :rule scope :premises (@p174))
% 0.52/0.70  (step @p175 :rule process_scope :premises (@p557) :args (false))
% 0.52/0.70  (step @p177 :rule eq_resolve :premises (@p175 @p142))
% 0.52/0.70  (step-pop @p558 :rule scope :premises (@p177))
% 0.52/0.70  (step @p178 :rule process_scope :premises (@p558) :args (@t107))
% 0.52/0.70  (step @p180 :rule modus_ponens :premises (@p554 @p178))
% 0.52/0.70  (step-pop @p559 :rule scope :premises (@p180))
% 0.52/0.70  (step @p181 :rule process_scope :premises (@p559) :args (@t107))
% 0.52/0.70  (step @p183 :rule implies_elim :premises (@p181))
% 0.52/0.70  (step @p184 :rule and_elim :premises (@p84) :args (2))
% 0.52/0.70  (step @p185 :rule reordering :premises (@p184) :args ((or @t59 @t61)))
% 0.52/0.70  (step @p139 :rule bool-double-not-elim :args (@t107))
% 0.52/0.70  (step @p186 :rule refl :args (@t129))
% 0.52/0.70  (step @p187 :rule nary_cong :premises (@p186 @p139) :args ((or @t129 (not @t130))))
% 0.52/0.70  (assume-push @p560 @t59)
% 0.52/0.70  (assume-push @p561 @t130)
% 0.52/0.70  (assume-push @p562 @t131)
% 0.52/0.70  (step @p191 :rule evaluate :args (@t132))
% 0.52/0.70  (step @p146 :rule evaluate :args (@t110))
% 0.52/0.70  (step @p192 :rule evaluate :args (@t133))
% 0.52/0.70  (step @p193 :rule nary_cong :premises (@p192 @p72) :args (@t134))
% 0.52/0.70  (step @p194 :rule trans :premises (@p193 @p146))
% 0.52/0.70  (step @p151 :rule evaluate :args (@t113))
% 0.52/0.70  (step @p152 :rule arith_poly_norm :args (@t115))
% 0.52/0.70  (step @p153 :rule arith_poly_norm :args (@t117))
% 0.52/0.70  (step @p154 :rule nary_cong :premises (@p153 @p152) :args (@t118))
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% 0.52/0.70  (step @p195 :rule arith_poly_norm :args ((= @t135 @t118)))
% 0.52/0.70  (step @p196 :rule trans :premises (@p195 @p155))
% 0.52/0.70  (step @p197 :rule cong :premises (@p196 @p194) :args ((<= @t135 @t134)))
% 0.52/0.70  (step @p198 :rule trans :premises (@p197 @p191))
% 0.52/0.70  (step @p140 :rule arith-elim-lt :args (@t106 0))
% 0.52/0.70  (step @p199 :rule symm :premises (@p140))
% 0.52/0.70  (step @p200 :rule eq_resolve :premises (@p561 @p199))
% 0.52/0.70  (step @p201 :rule int_tight_ub :premises (@p200))
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% 0.52/0.70  (step @p169 :rule evaluate :args (@t128))
% 0.52/0.70  (step @p170 :rule true_elim :premises (@p169))
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% 0.52/0.70  (step @p204 :rule modus_ponens :premises (@p203 @p202))
% 0.52/0.70  (step @p205 :rule arith_sum_ub :premises (@p204 @p201))
% 0.52/0.70  (step @p206 false :rule eq_resolve :premises (@p205 @p198))
% 0.52/0.70  (step-pop @p563 :rule scope :premises (@p206))
% 0.52/0.70  (step @p207 :rule process_scope :premises (@p563) :args (false))
% 0.52/0.70  (step @p209 :rule arith_poly_norm :args (@t136))
% 0.52/0.70  (step @p210 :rule arith_poly_norm_rel :premises (@p209) :args (@t137))
% 0.52/0.70  (step @p211 :rule symm :premises (@p210))
% 0.52/0.70  (step @p212 :rule eq_resolve :premises (@p560 @p211))
% 0.52/0.70  (step @p213 false :rule contra :premises (@p212 @p207))
% 0.52/0.70  (step-pop @p564 :rule scope :premises (@p213))
% 0.52/0.70  (step-pop @p565 :rule scope :premises (@p564))
% 0.52/0.70  (step @p214 :rule process_scope :premises (@p565) :args (false))
% 0.52/0.70  (step @p217 :rule not_and :premises (@p214))
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% 0.52/0.70  (step @p219 :rule chain_m_resolution :premises (@p218 @p185 @p183) :args (@t107 (@list false true) (@list @t59 @t61)))
% 0.52/0.70  (step @p220 :rule not_implies_elim2 :premises (@p83))
% 0.52/0.70  (step @p221 :rule not_or_elim :premises (@p220) :args (1))
% 0.52/0.70  (step @p222 :rule refl :args (@t138))
% 0.52/0.70  (step @p223 :rule refl :args (@t139))
% 0.52/0.70  (step @p224 :rule refl :args (@t140))
% 0.52/0.70  (step @p225 :rule refl :args (@t141))
% 0.52/0.70  (step @p226 :rule refl :args (@t130))
% 0.52/0.70  (step @p227 :rule refl :args (@t145))
% 0.52/0.70  (step @p228 :rule bool-double-not-elim :args (@t51))
% 0.52/0.70  (step @p229 :rule nary_cong :premises (@p228 @p227 @p226 @p225 @p224 @p223 @p222) :args ((or (not @t146) @t145 @t130 @t141 @t140 @t139 @t138)))
% 0.52/0.70  (assume-push @p566 @t93)
% 0.52/0.70  (assume-push @p567 @t107)
% 0.52/0.70  (assume-push @p568 @t88)
% 0.52/0.70  (assume-push @p569 @t83)
% 0.52/0.70  (assume-push @p570 @t147)
% 0.52/0.70  (assume-push @p571 @t146)
% 0.52/0.70  (assume-push @p572 @t144)
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% 0.52/0.70  (step @p238 :rule symm :premises (@p237))
% 0.52/0.70  (assume-push @p573 @t148)
% 0.52/0.70  (step @p191 :rule evaluate :args (@t132))
% 0.52/0.70  (step @p240 :rule evaluate :args ((+ -1 0 -2 1 0 1)))
% 0.52/0.70  (step @p241 :rule evaluate :args (@t149))
% 0.52/0.70  (step @p192 :rule evaluate :args (@t133))
% 0.52/0.70  (step @p242 :rule refl :args (1))
% 0.52/0.70  (step @p243 :rule evaluate :args (@t150))
% 0.52/0.70  (step @p244 :rule evaluate :args (@t151))
% 0.52/0.70  (step @p147 :rule evaluate :args (@t111))
% 0.52/0.70  (step @p245 :rule nary_cong :premises (@p147 @p244 @p243 @p242 @p192 @p241) :args (@t152))
% 0.52/0.70  (step @p246 :rule trans :premises (@p245 @p240))
% 0.52/0.70  (step @p247 :rule arith_poly_norm :args ((= (+ 0 0 @t28 @t58 @t105 @t153 @t57 @t142 0) 0)))
% 0.52/0.70  (step @p248 :rule arith_poly_norm :args (@t155))
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% 0.52/0.70  (step @p250 :rule refl :args (@t57))
% 0.52/0.70  (step @p251 :rule refl :args (@t153))
% 0.52/0.70  (step @p252 :rule refl :args (@t105))
% 0.52/0.70  (step @p253 :rule refl :args (@t58))
% 0.52/0.70  (step @p254 :rule arith_poly_norm :args (@t157))
% 0.52/0.70  (step @p255 :rule arith_poly_norm :args (@t159))
% 0.52/0.70  (step @p256 :rule nary_cong :premises (@p255 @p254 @p46 @p253 @p252 @p251 @p250 @p249 @p248) :args (@t160))
% 0.52/0.70  (step @p257 :rule trans :premises (@p256 @p247))
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% 0.52/0.70  (step @p259 :rule trans :premises (@p258 @p257))
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% 0.52/0.70  (step @p261 :rule trans :premises (@p260 @p191))
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% 0.52/0.70  (step @p263 :rule arith_poly_norm :args (@t169))
% 0.52/0.70  (step @p264 :rule arith_poly_norm_rel :premises (@p263) :args (@t170))
% 0.52/0.70  (step @p265 :rule symm :premises (@p264))
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% 0.52/0.70  (step @p270 :rule and_intro :premises (@p170 @p567))
% 0.52/0.70  (step @p271 :rule modus_ponens :premises (@p270 @p269))
% 0.52/0.70  (step @p272 :rule arith_poly_norm :args (@t171))
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% 0.52/0.70  (step @p274 :rule symm :premises (@p273))
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% 0.52/0.70  (step @p277 :rule arith_poly_norm :args (@t175))
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% 0.52/0.70  (step @p279 :rule symm :premises (@p278))
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% 0.52/0.70  (step @p284 :rule modus_ponens :premises (@p283 @p276))
% 0.52/0.70  (step @p285 :rule arith_mult_pos :args (2 @t178))
% 0.52/0.70  (step @p286 :rule arith_poly_norm :args (@t179))
% 0.52/0.70  (step @p287 :rule arith_poly_norm_rel :premises (@p286) :args (@t180))
% 0.52/0.70  (step @p288 :rule symm :premises (@p287))
% 0.52/0.70  (step @p289 :rule cong :premises (@p136) :args (@t56))
% 0.52/0.70  (step @p290 :rule eq_resolve :premises (@p289 @p288))
% 0.52/0.70  (step @p291 :rule evaluate :args (@t181))
% 0.52/0.70  (step @p292 :rule true_elim :premises (@p291))
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% 0.52/0.70  (step @p294 :rule modus_ponens :premises (@p293 @p285))
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% 0.52/0.70  (step @p296 :rule and_intro :premises (@p170 @p573))
% 0.52/0.70  (step @p297 :rule modus_ponens :premises (@p296 @p295))
% 0.52/0.70  (step @p298 :rule arith_sum_ub :premises (@p297 @p294 @p284 @p275 @p271 @p268))
% 0.52/0.70  (step @p299 false :rule eq_resolve :premises (@p298 @p261))
% 0.52/0.70  (step-pop @p574 :rule scope :premises (@p299))
% 0.52/0.70  (step @p300 :rule process_scope :premises (@p574) :args (false))
% 0.52/0.70  (step @p302 :rule eq_resolve :premises (@p300 @p238))
% 0.52/0.70  (step @p303 :rule eq_resolve :premises (@p302 @p237))
% 0.52/0.70  (step @p304 :rule arith_poly_norm :args ((= (* 1 (- @t143 0)) (* 1 @t65))))
% 0.52/0.70  (step @p305 :rule arith_poly_norm_rel :premises (@p304) :args ((= @t182 @t51)))
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% 0.52/0.70  (step @p307 :rule symm :premises (@p306))
% 0.52/0.70  (step @p308 :rule eq_resolve :premises (@p221 @p307))
% 0.52/0.70  (step @p309 :rule arith_trichotomy :premises (@p308 @p572))
% 0.52/0.70  (step @p310 :rule int_tight_lb :premises (@p309))
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% 0.52/0.70  (step-pop @p576 :rule scope :premises (@p575))
% 0.52/0.70  (step-pop @p577 :rule scope :premises (@p576))
% 0.52/0.70  (step-pop @p578 :rule scope :premises (@p577))
% 0.52/0.70  (step-pop @p579 :rule scope :premises (@p578))
% 0.52/0.70  (step-pop @p580 :rule scope :premises (@p579))
% 0.52/0.70  (step-pop @p581 :rule scope :premises (@p580))
% 0.52/0.70  (step @p312 :rule process_scope :premises (@p581) :args (false))
% 0.52/0.70  (assume-push @p582 @t146)
% 0.52/0.70  (assume-push @p583 @t144)
% 0.52/0.70  (assume-push @p584 @t107)
% 0.52/0.70  (assume-push @p585 @t103)
% 0.52/0.70  (assume-push @p586 @t93)
% 0.52/0.70  (assume-push @p587 @t88)
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% 0.52/0.70  (step-pop @p590 :rule scope :premises (@p589))
% 0.52/0.70  (step-pop @p591 :rule scope :premises (@p590))
% 0.52/0.70  (step-pop @p592 :rule scope :premises (@p591))
% 0.52/0.70  (step-pop @p593 :rule scope :premises (@p592))
% 0.52/0.70  (step-pop @p594 :rule scope :premises (@p593))
% 0.52/0.70  (step-pop @p595 :rule scope :premises (@p594))
% 0.52/0.70  (step @p329 :rule process_scope :premises (@p595) :args (@t183))
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% 0.52/0.70  (step @p342 :rule not_or_elim :premises (@p220) :args (0))
% 0.52/0.70  (step @p343 :rule bool-double-not-elim :args (@t184))
% 0.52/0.70  (step @p344 :rule bool-double-not-elim :args (@t144))
% 0.52/0.70  (step @p345 :rule bool-double-not-elim :args (@t53))
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% 0.52/0.70  (assume-push @p596 @t93)
% 0.52/0.70  (assume-push @p597 @t185)
% 0.52/0.70  (assume-push @p598 @t88)
% 0.52/0.70  (assume-push @p599 @t83)
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% 0.52/0.70  (assume-push @p601 @t186)
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% 0.52/0.70  (step @p357 :rule arith-elim-gt :args (@t143 -2))
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% 0.52/0.70  (step @p364 :rule arith-leq-norm :args (@t143 -2))
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% 0.52/0.70  (step @p368 :rule trans :premises (@p358 @p367))
% 0.52/0.70  (step @p369 :rule symm :premises (@p368))
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% 0.52/0.70  (step @p373 :rule evaluate :args ((+ -2 0 2 -1 2 -1)))
% 0.52/0.70  (step @p147 :rule evaluate :args (@t111))
% 0.52/0.70  (step @p374 :rule evaluate :args (@t191))
% 0.52/0.70  (step @p375 :rule evaluate :args (@t192))
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% 0.52/0.70  (step @p248 :rule arith_poly_norm :args (@t155))
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% 0.52/0.70  (step @p250 :rule refl :args (@t57))
% 0.52/0.70  (step @p253 :rule refl :args (@t58))
% 0.52/0.70  (step @p252 :rule refl :args (@t105))
% 0.52/0.70  (step @p249 :rule refl :args (@t142))
% 0.52/0.70  (step @p254 :rule arith_poly_norm :args (@t157))
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% 0.52/0.70  (step @p383 :rule trans :premises (@p382 @p381))
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% 0.52/0.70  (step @p272 :rule arith_poly_norm :args (@t171))
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% 0.52/0.70  (step @p274 :rule symm :premises (@p273))
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% 0.52/0.70  (step @p409 :rule eq_resolve :premises (@p408 @p358))
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% 0.52/0.70  (step-pop @p607 :rule scope :premises (@p606))
% 0.52/0.70  (step-pop @p608 :rule scope :premises (@p607))
% 0.52/0.70  (step-pop @p609 :rule scope :premises (@p608))
% 0.52/0.70  (step-pop @p610 :rule scope :premises (@p609))
% 0.52/0.70  (step-pop @p611 :rule scope :premises (@p610))
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% 0.52/0.70  (step-pop @p621 :rule scope :premises (@p620))
% 0.52/0.70  (step-pop @p622 :rule scope :premises (@p621))
% 0.52/0.70  (step-pop @p623 :rule scope :premises (@p622))
% 0.52/0.70  (step-pop @p624 :rule scope :premises (@p623))
% 0.52/0.70  (step-pop @p625 :rule scope :premises (@p624))
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% 0.52/0.70  (step @p451 :rule arith_poly_norm :args ((= (* 1 (- 2 @t199)) (* 1 @t124))))
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% 0.52/0.70  (step @p457 :rule arith_poly_norm_rel :premises (@p456) :args ((= @t202 @t201)))
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% 0.52/0.70  (step @p464 :rule bool-double-not-elim :args (@t203))
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% 0.52/0.70  (step @p504 :rule eq_resolve :premises (@p503 @p467))
% 0.52/0.70  (step @p505 :rule eq_resolve :premises (@p504 @p460))
% 0.52/0.70  (step @p506 :rule chain_m_resolution :premises (@p505 @p450) :args (@t201 @t99 (@list @t184)))
% 0.52/0.70  (assume-push @p630 @t59)
% 0.52/0.70  (assume-push @p631 @t201)
% 0.52/0.70  (assume-push @p632 @t131)
% 0.52/0.70  (step @p191 :rule evaluate :args (@t132))
% 0.52/0.70  (step @p146 :rule evaluate :args (@t110))
% 0.52/0.70  (step @p147 :rule evaluate :args (@t111))
% 0.52/0.70  (step @p148 :rule refl :args (0))
% 0.52/0.70  (step @p149 :rule nary_cong :premises (@p148 @p147) :args (@t112))
% 0.52/0.70  (step @p150 :rule trans :premises (@p149 @p146))
% 0.52/0.70  (step @p151 :rule evaluate :args (@t113))
% 0.52/0.70  (step @p152 :rule arith_poly_norm :args (@t115))
% 0.52/0.70  (step @p153 :rule arith_poly_norm :args (@t117))
% 0.52/0.70  (step @p154 :rule nary_cong :premises (@p153 @p152) :args (@t118))
% 0.52/0.70  (step @p155 :rule trans :premises (@p154 @p151))
% 0.52/0.70  (step @p156 :rule arith_poly_norm :args (@t121))
% 0.52/0.70  (step @p157 :rule trans :premises (@p156 @p155))
% 0.52/0.70  (step @p510 :rule cong :premises (@p157 @p150) :args ((<= @t120 @t112)))
% 0.52/0.70  (step @p511 :rule trans :premises (@p510 @p191))
% 0.52/0.70  (step @p512 :rule arith_mult_neg :args (-1 @t201))
% 0.52/0.70  (step @p169 :rule evaluate :args (@t128))
% 0.52/0.70  (step @p170 :rule true_elim :premises (@p169))
% 0.52/0.70  (step @p513 :rule and_intro :premises (@p170 @p631))
% 0.52/0.70  (step @p514 :rule modus_ponens :premises (@p513 @p512))
% 0.52/0.70  (step @p515 :rule arith_sum_ub :premises (@p632 @p514))
% 0.52/0.70  (step @p516 false :rule eq_resolve :premises (@p515 @p511))
% 0.52/0.70  (step-pop @p633 :rule scope :premises (@p516))
% 0.52/0.70  (step @p517 :rule process_scope :premises (@p633) :args (false))
% 0.52/0.70  (step @p209 :rule arith_poly_norm :args (@t136))
% 0.52/0.70  (step @p210 :rule arith_poly_norm_rel :premises (@p209) :args (@t137))
% 0.52/0.70  (step @p211 :rule symm :premises (@p210))
% 0.52/0.70  (step @p519 :rule eq_resolve :premises (@p630 @p211))
% 0.52/0.70  (step @p520 false :rule contra :premises (@p519 @p517))
% 0.52/0.70  (step-pop @p634 :rule scope :premises (@p520))
% 0.52/0.70  (step-pop @p635 :rule scope :premises (@p634))
% 0.52/0.70  (step @p521 :rule process_scope :premises (@p635) :args (false))
% 0.52/0.70  (step @p524 :rule not_and :premises (@p521))
% 0.52/0.70  (step @p525 :rule chain_m_resolution :premises (@p524 @p506) :args (@t129 @t99 (@list @t201)))
% 0.52/0.70  (step @p526 :rule chain_m_resolution :premises (@p185 @p525) :args (@t61 (@list true) (@list @t59)))
% 0.52/0.70  (assume-push @p636 @t61)
% 0.52/0.70  (assume-push @p637 @t184)
% 0.52/0.70  (assume-push @p638 @t123)
% 0.52/0.70  (step @p191 :rule evaluate :args (@t132))
% 0.52/0.70  (step @p530 :rule evaluate :args ((+ 1 -2)))
% 0.52/0.70  (step @p531 :rule evaluate :args (@t209))
% 0.52/0.70  (step @p242 :rule refl :args (1))
% 0.52/0.70  (step @p532 :rule nary_cong :premises (@p242 @p531) :args (@t210))
% 0.52/0.70  (step @p533 :rule trans :premises (@p532 @p530))
% 0.52/0.70  (step @p151 :rule evaluate :args (@t113))
% 0.52/0.70  (step @p152 :rule arith_poly_norm :args (@t115))
% 0.52/0.70  (step @p153 :rule arith_poly_norm :args (@t117))
% 0.52/0.70  (step @p154 :rule nary_cong :premises (@p153 @p152) :args (@t118))
% 0.52/0.70  (step @p155 :rule trans :premises (@p154 @p151))
% 0.52/0.70  (step @p156 :rule arith_poly_norm :args (@t121))
% 0.52/0.70  (step @p157 :rule trans :premises (@p156 @p155))
% 0.52/0.70  (step @p534 :rule cong :premises (@p157 @p533) :args ((<= @t120 @t210)))
% 0.52/0.70  (step @p535 :rule trans :premises (@p534 @p191))
% 0.52/0.70  (step @p536 :rule arith_mult_neg :args (-1 @t184))
% 0.52/0.70  (step @p169 :rule evaluate :args (@t128))
% 0.52/0.70  (step @p170 :rule true_elim :premises (@p169))
% 0.52/0.70  (step @p537 :rule and_intro :premises (@p170 @p637))
% 0.52/0.70  (step @p538 :rule modus_ponens :premises (@p537 @p536))
% 0.52/0.70  (step @p539 :rule arith_sum_ub :premises (@p638 @p538))
% 0.52/0.70  (step @p540 false :rule eq_resolve :premises (@p539 @p535))
% 0.52/0.70  (step-pop @p639 :rule scope :premises (@p540))
% 0.52/0.70  (step @p541 :rule process_scope :premises (@p639) :args (false))
% 0.52/0.70  (step @p165 :rule arith_poly_norm :args (@t126))
% 0.52/0.70  (step @p166 :rule arith_poly_norm_rel :premises (@p165) :args (@t127))
% 0.52/0.70  (step @p167 :rule symm :premises (@p166))
% 0.52/0.70  (step @p543 :rule eq_resolve :premises (@p636 @p167))
% 0.52/0.70  (step @p544 false :rule contra :premises (@p543 @p541))
% 0.52/0.70  (step-pop @p640 :rule scope :premises (@p544))
% 0.52/0.70  (step-pop @p641 :rule scope :premises (@p640))
% 0.52/0.70  (step @p545 :rule process_scope :premises (@p641) :args (false))
% 0.52/0.70  (step @p548 :rule not_and :premises (@p545))
% 0.52/0.70  (step @p549 false :rule chain_m_resolution :premises (@p548 @p526 @p450) :args (false @t79 (@list @t61 @t184)))
% 0.52/0.70  )
% 0.52/0.70  % SZS output end Proof
% 0.52/0.70  % cvc5 exiting
%------------------------------------------------------------------------------