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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : DAT094_1 : TPTP v9.2.1. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 08:14:30 AM UTC 2026

% Result   : Theorem 63.87s 64.13s
% Output   : Proof 63.87s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : DAT094_1 : TPTP v9.2.1. Released v6.1.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n015.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Mon Jun  1 22:28:34 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TF0_ARI
% 63.87/64.13  --- Run --finite-model-find --decision=internal at 45...
% 63.87/64.13  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60...
% 63.87/64.13  --- Run --no-e-matching --full-saturate-quant at 45...
% 63.87/64.13  % SZS status Theorem
% 63.87/64.13  % SZS output start Proof
% 63.87/64.13  (
% 63.87/64.13  (declare-sort tptp.list 0)
% 63.87/64.13  (declare-const tptp.count (-> Int tptp.list Int))
% 63.87/64.13  (declare-const tptp.length (-> tptp.list Int))
% 63.87/64.13  (declare-const tptp.inRange (-> Int tptp.list Bool))
% 63.87/64.13  (declare-const tptp.in (-> Int tptp.list Bool))
% 63.87/64.13  (declare-const tptp.nil tptp.list)
% 63.87/64.13  (declare-const tptp.append (-> tptp.list tptp.list tptp.list))
% 63.87/64.13  (declare-const tptp.tail (-> tptp.list tptp.list))
% 63.87/64.13  (declare-const tptp.head (-> tptp.list Int))
% 63.87/64.13  (declare-const tptp.cons (-> Int tptp.list tptp.list))
% 63.87/64.13  (define @t1 () (@var "K" Int))
% 63.87/64.13  (define @t2 () (@var "L" tptp.list))
% 63.87/64.13  (define @t3 () (tptp.cons @t1 @t2))
% 63.87/64.13  (define @t4 () (@list @t1 @t2))
% 63.87/64.13  (define @t5 () (= @t2 tptp.nil))
% 63.87/64.13  (define @t6 () (@list @t2))
% 63.87/64.13  (define @t7 () (@var "T" tptp.list))
% 63.87/64.13  (define @t8 () (@var "X" Int))
% 63.87/64.13  (define @t9 () (@var "H" Int))
% 63.87/64.13  (define @t10 () (tptp.cons @t9 @t7))
% 63.87/64.13  (define @t11 () (= @t2 @t10))
% 63.87/64.13  (define @t12 () (@list @t9 @t7))
% 63.87/64.13  (define @t13 () (@var "N" Int))
% 63.87/64.13  (define @t14 () (tptp.inRange @t13 @t7))
% 63.87/64.13  (define @t15 () (tptp.cons @t1 @t7))
% 63.87/64.13  (define @t16 () (= @t2 @t15))
% 63.87/64.13  (define @t17 () (and @t16 (<= 0 @t1) (< @t1 @t13) @t14))
% 63.87/64.13  (define @t18 () (@list @t1 @t7))
% 63.87/64.13  (define @t19 () (exists @t18 @t17))
% 63.87/64.13  (define @t20 () (or @t5 @t19))
% 63.87/64.13  (define @t21 () (tptp.inRange @t13 @t2))
% 63.87/64.13  (define @t22 () (= @t21 @t20))
% 63.87/64.13  (define @t23 () (@list @t13 @t2))
% 63.87/64.13  (define @t24 () (forall @t23 @t22))
% 63.87/64.13  (define @t25 () (tptp.length tptp.nil))
% 63.87/64.13  (define @t26 () (= @t25 0))
% 63.87/64.13  (define @t27 () (forall @t12 (= (tptp.length @t10) (+ 1 (tptp.length @t7)))))
% 63.87/64.13  (define @t28 () (tptp.count @t1 @t7))
% 63.87/64.13  (define @t29 () (tptp.count @t1 @t10))
% 63.87/64.13  (define @t30 () (= @t1 @t9))
% 63.87/64.13  (define @t31 () (@list @t1 @t9 @t7 @t13))
% 63.87/64.13  (define @t32 () (tptp.append tptp.nil @t2))
% 63.87/64.13  (define @t33 () (forall @t6 (= @t32 @t2)))
% 63.87/64.13  (define @t34 () (@var "K" tptp.list))
% 63.87/64.13  (define @t35 () (tptp.append @t34 @t2))
% 63.87/64.13  (define @t36 () (@var "I" Int))
% 63.87/64.13  (define @t37 () (tptp.length @t35))
% 63.87/64.13  (define @t38 () (tptp.length @t2))
% 63.87/64.13  (define @t39 () (tptp.length @t34))
% 63.87/64.13  (define @t40 () (and (> @t39 1) (> @t38 1)))
% 63.87/64.13  (define @t41 () (=> @t40 (> @t37 4)))
% 63.87/64.13  (define @t42 () (@list @t34 @t2))
% 63.87/64.13  (define @t43 () (forall @t42 @t41))
% 63.87/64.13  (define @t44 () (tptp.cons 0 tptp.nil))
% 63.87/64.13  (define @t45 () (tptp.length @t44))
% 63.87/64.13  (define @t46 () (+ -1 @t45))
% 63.87/64.13  (define @t47 () (- @t25 @t46))
% 63.87/64.13  (define @t48 () (+ 1 @t25))
% 63.87/64.13  (define @t49 () (= @t25 @t46))
% 63.87/64.13  (define @t50 () (= @t45 @t48))
% 63.87/64.13  (define @t51 () (@list 0 tptp.nil))
% 63.87/64.13  (define @t52 () (@list false))
% 63.87/64.13  (define @t53 () (@list @t27))
% 63.87/64.13  (define @t54 () (tptp.cons 0 @t44))
% 63.87/64.13  (define @t55 () (tptp.length @t54))
% 63.87/64.13  (define @t56 () (+ -1 @t55))
% 63.87/64.13  (define @t57 () (- @t45 @t56))
% 63.87/64.13  (define @t58 () (+ 1 @t45))
% 63.87/64.13  (define @t59 () (= @t45 @t56))
% 63.87/64.13  (define @t60 () (= @t55 @t58))
% 63.87/64.13  (define @t61 () (* -1 @t25))
% 63.87/64.13  (define @t62 () (>= @t1 0))
% 63.87/64.13  (define @t63 () (not @t62))
% 63.87/64.13  (define @t64 () (forall @t18 (or (not (= @t15 @t44)) @t63 (>= (+ @t1 @t61) 0) (not (tptp.inRange @t25 @t7)))))
% 63.87/64.13  (define @t65 () (@quantifiers_skolemize @t64 0))
% 63.87/64.13  (define @t66 () (>= @t65 0))
% 63.87/64.13  (define @t67 () (@quantifiers_skolemize @t64 1))
% 63.87/64.13  (define @t68 () (not (tptp.inRange @t25 @t67)))
% 63.87/64.13  (define @t69 () (+ @t65 @t61))
% 63.87/64.13  (define @t70 () (>= @t69 0))
% 63.87/64.13  (define @t71 () (not @t66))
% 63.87/64.13  (define @t72 () (tptp.cons @t65 @t67))
% 63.87/64.13  (define @t73 () (or (not (= @t44 @t72)) @t71 @t70 @t68))
% 63.87/64.13  (define @t74 () (not @t26))
% 63.87/64.13  (define @t75 () (not @t70))
% 63.87/64.13  (define @t76 () (< @t69 0))
% 63.87/64.13  (define @t77 () (not true))
% 63.87/64.13  (define @t78 () (>= 0 0))
% 63.87/64.13  (define @t79 () (* -1 0))
% 63.87/64.13  (define @t80 () (+ 0 0 @t79))
% 63.87/64.13  (define @t81 () (* -1 @t65))
% 63.87/64.13  (define @t82 () (+ @t81 @t65 @t61 @t25))
% 63.87/64.13  (define @t83 () (+ @t69 @t25 @t81))
% 63.87/64.13  (define @t84 () (>= @t83 @t80))
% 63.87/64.13  (define @t85 () (< -1 0))
% 63.87/64.13  (define @t86 () (and @t66 @t26 @t75))
% 63.87/64.13  (define @t87 () (not @t73))
% 63.87/64.13  (define @t88 () (not @t64))
% 63.87/64.13  (define @t89 () (not (= @t72 @t44)))
% 63.87/64.13  (define @t90 () (or @t89 @t71 @t70 @t68))
% 63.87/64.13  (define @t91 () (not @t90))
% 63.87/64.13  (define @t92 () (tptp.inRange @t25 tptp.nil))
% 63.87/64.13  (define @t93 () (not @t92))
% 63.87/64.13  (define @t94 () (>= @t25 1))
% 63.87/64.13  (define @t95 () (not @t94))
% 63.87/64.13  (define @t96 () (or @t95 @t93))
% 63.87/64.13  (define @t97 () (+ @t25 1))
% 63.87/64.13  (define @t98 () (+ 0 @t61))
% 63.87/64.13  (define @t99 () (>= @t98 0))
% 63.87/64.13  (define @t100 () (not @t78))
% 63.87/64.13  (define @t101 () (not (= @t44 @t44)))
% 63.87/64.13  (define @t102 () (or @t101 @t100 @t99 @t93))
% 63.87/64.13  (define @t103 () (not @t14))
% 63.87/64.13  (define @t104 () (+ @t1 (* -1 @t13)))
% 63.87/64.13  (define @t105 () (>= @t104 0))
% 63.87/64.13  (define @t106 () (not @t16))
% 63.87/64.13  (define @t107 () (not @t105))
% 63.87/64.13  (define @t108 () (not @t107))
% 63.87/64.13  (define @t109 () (or @t106 @t63 @t108 @t103))
% 63.87/64.13  (define @t110 () (and @t16 @t62 @t107 @t14))
% 63.87/64.13  (define @t111 () (forall @t18 (not @t110)))
% 63.87/64.13  (define @t112 () (not @t111))
% 63.87/64.13  (define @t113 () (>= @t1 @t13))
% 63.87/64.13  (define @t114 () (tptp.inRange 0 tptp.nil))
% 63.87/64.13  (define @t115 () (not (= tptp.nil @t15)))
% 63.87/64.13  (define @t116 () (not (tptp.inRange 0 @t7)))
% 63.87/64.13  (define @t117 () (+ @t1 @t79))
% 63.87/64.13  (define @t118 () (>= @t117 0))
% 63.87/64.13  (define @t119 () (or @t115 @t63 @t118 @t116))
% 63.87/64.13  (define @t120 () (forall @t18 @t119))
% 63.87/64.13  (define @t121 () (not @t120))
% 63.87/64.13  (define @t122 () (or (= tptp.nil tptp.nil) @t121))
% 63.87/64.13  (define @t123 () (= @t114 @t122))
% 63.87/64.13  (define @t124 () (forall @t23 (= @t21 (or (= tptp.nil @t2) (not (forall @t18 (or @t106 @t63 @t105 @t103)))))))
% 63.87/64.13  (define @t125 () (@list false false))
% 63.87/64.13  (define @t126 () (tptp.cons 0 @t54))
% 63.87/64.13  (define @t127 () (tptp.length @t126))
% 63.87/64.13  (define @t128 () (+ -1 @t127))
% 63.87/64.13  (define @t129 () (- @t55 @t128))
% 63.87/64.13  (define @t130 () (+ 1 @t55))
% 63.87/64.13  (define @t131 () (= @t55 @t128))
% 63.87/64.13  (define @t132 () (= @t127 @t130))
% 63.87/64.13  (define @t133 () (>= @t37 5))
% 63.87/64.13  (define @t134 () (>= @t38 2))
% 63.87/64.13  (define @t135 () (not @t134))
% 63.87/64.13  (define @t136 () (>= @t39 2))
% 63.87/64.13  (define @t137 () (not @t136))
% 63.87/64.13  (define @t138 () (and @t136 @t134))
% 63.87/64.13  (define @t139 () (+ 4 1))
% 63.87/64.13  (define @t140 () (>= @t37 @t139))
% 63.87/64.13  (define @t141 () (+ 1 1))
% 63.87/64.13  (define @t142 () (>= @t38 @t141))
% 63.87/64.13  (define @t143 () (>= @t39 @t141))
% 63.87/64.13  (define @t144 () (>= @t55 2))
% 63.87/64.13  (define @t145 () (not @t59))
% 63.87/64.13  (define @t146 () (not @t49))
% 63.87/64.13  (define @t147 () (not @t144))
% 63.87/64.13  (define @t148 () (< @t55 2))
% 63.87/64.13  (define @t149 () (+ 2 -1 -1 @t79))
% 63.87/64.13  (define @t150 () (* -1 @t45))
% 63.87/64.13  (define @t151 () (* -1 @t55))
% 63.87/64.13  (define @t152 () (+ @t151 @t55 @t61 @t150 @t45 @t25))
% 63.87/64.13  (define @t153 () (+ @t45 @t151))
% 63.87/64.13  (define @t154 () (+ @t25 @t150))
% 63.87/64.13  (define @t155 () (+ @t55 @t154 @t153 @t61))
% 63.87/64.13  (define @t156 () (>= @t155 @t149))
% 63.87/64.13  (define @t157 () (= (* 1 (- @t153 -1)) (* 1 @t57)))
% 63.87/64.13  (define @t158 () (= @t153 -1))
% 63.87/64.13  (define @t159 () (= @t158 @t59))
% 63.87/64.13  (define @t160 () (= (* 1 (- @t154 -1)) (* 1 @t47)))
% 63.87/64.13  (define @t161 () (= @t154 -1))
% 63.87/64.13  (define @t162 () (= @t161 @t49))
% 63.87/64.13  (define @t163 () (and @t26 @t59 @t49 @t147))
% 63.87/64.13  (define @t164 () (tptp.append @t54 @t54))
% 63.87/64.13  (define @t165 () (tptp.length @t164))
% 63.87/64.13  (define @t166 () (>= @t165 5))
% 63.87/64.13  (define @t167 () (or @t147 @t147 @t166))
% 63.87/64.13  (define @t168 () (tptp.append tptp.nil @t44))
% 63.87/64.13  (define @t169 () (tptp.length (tptp.cons 0 @t126)))
% 63.87/64.13  (define @t170 () (+ -1 @t169))
% 63.87/64.13  (define @t171 () (- @t127 @t170))
% 63.87/64.13  (define @t172 () (+ 1 @t127))
% 63.87/64.13  (define @t173 () (= @t127 @t170))
% 63.87/64.13  (define @t174 () (= @t169 @t172))
% 63.87/64.13  (define @t175 () (not @t173))
% 63.87/64.13  (define @t176 () (tptp.append @t168 @t54))
% 63.87/64.13  (define @t177 () (tptp.cons 0 @t176))
% 63.87/64.13  (define @t178 () (= (tptp.append (tptp.cons 0 @t168) @t54) @t177))
% 63.87/64.13  (define @t179 () (not @t178))
% 63.87/64.13  (define @t180 () (not @t166))
% 63.87/64.13  (define @t181 () (tptp.append tptp.nil @t54))
% 63.87/64.13  (define @t182 () (tptp.cons 0 @t181))
% 63.87/64.13  (define @t183 () (= (tptp.append @t44 @t54) @t182))
% 63.87/64.13  (define @t184 () (not @t183))
% 63.87/64.13  (define @t185 () (not @t131))
% 63.87/64.13  (define @t186 () (= @t54 @t181))
% 63.87/64.13  (define @t187 () (not @t186))
% 63.87/64.13  (define @t188 () (= @t44 @t168))
% 63.87/64.13  (define @t189 () (not @t188))
% 63.87/64.13  (define @t190 () (= @t165 @t169))
% 63.87/64.13  (define @t191 () (* -1 @t169))
% 63.87/64.13  (define @t192 () (+ @t165 @t191))
% 63.87/64.13  (define @t193 () (= @t192 0))
% 63.87/64.13  (define @t194 () (* -1 5))
% 63.87/64.13  (define @t195 () (* -1 -1))
% 63.87/64.13  (define @t196 () (+ 0 @t195 @t195 1 @t195 @t195 @t194))
% 63.87/64.13  (define @t197 () (* -1 @t127))
% 63.87/64.13  (define @t198 () (* -1 @t165))
% 63.87/64.13  (define @t199 () (* 0 @t25))
% 63.87/64.13  (define @t200 () (* 0 @t169))
% 63.87/64.13  (define @t201 () (+ @t198 @t200 @t165 @t127 @t197 @t55 @t151 @t45 @t150 @t199))
% 63.87/64.13  (define @t202 () (+ @t127 @t191))
% 63.87/64.13  (define @t203 () (+ @t55 @t197))
% 63.87/64.13  (define @t204 () (+ @t192 (* -1 @t153) (* -1 @t154) @t25 (* -1 @t203) (* -1 @t202) @t198))
% 63.87/64.13  (define @t205 () (>= @t204 @t196))
% 63.87/64.13  (define @t206 () (= @t202 -1))
% 63.87/64.13  (define @t207 () (= @t203 -1))
% 63.87/64.13  (define @t208 () (and @t166 @t173 @t131 @t95 @t49 @t59 @t190))
% 63.87/64.13  (assume @p1 (forall @t4 (= (tptp.head @t3) @t1)))
% 63.87/64.13  (assume @p2 (forall @t4 (= (tptp.tail @t3) @t2)))
% 63.87/64.13  (assume @p3 (forall @t6 (or @t5 (= @t2 (tptp.cons (tptp.head @t2) (tptp.tail @t2))))))
% 63.87/64.13  (assume @p4 (forall @t4 (not (= @t3 tptp.nil))))
% 63.87/64.13  (assume @p5 (forall (@list @t8 @t2) (= (tptp.in @t8 @t2) (or (exists @t12 (and @t11 (= @t8 @t9))) (exists @t12 (and @t11 (tptp.in @t8 @t7)))))))
% 63.87/64.13  (assume @p6 @t24)
% 63.87/64.13  (assume @p7 @t26)
% 63.87/64.13  (assume @p8 @t27)
% 63.87/64.13  (assume @p9 (forall (@list @t1) (= (tptp.count @t1 tptp.nil) 0)))
% 63.87/64.13  (assume @p10 (forall @t31 (=> (not @t30) (= @t29 @t28))))
% 63.87/64.13  (assume @p11 (forall @t31 (=> @t30 (= @t29 (+ @t28 1)))))
% 63.87/64.13  (assume @p12 @t33)
% 63.87/64.13  (assume @p13 (forall (@list @t36 @t34 @t2) (= (tptp.append (tptp.cons @t36 @t34) @t2) (tptp.cons @t36 @t35))))
% 63.87/64.13  (assume @p14 (forall @t23 (= (tptp.in @t13 @t2) (> (tptp.count @t13 @t2) 0))))
% 63.87/64.13  (assume @p15 (not (not @t43)))
% 63.87/64.13  (assume @p16 true)
% 63.87/64.13  (step @p17 :rule arith_poly_norm :args ((= (* 1 (- @t45 @t48)) (* -1 @t47))))
% 63.87/64.13  (step @p18 :rule arith_poly_norm_rel :premises (@p17) :args ((= @t50 @t49)))
% 63.87/64.13  (step @p19 :rule refl :args (@t27))
% 63.87/64.13  (step @p20 :rule cong :premises (@p19 @p18) :args ((=> @t27 @t50)))
% 63.87/64.13  (assume-push @p512 @t27)
% 63.87/64.13  (step @p22 :rule instantiate :premises (@p8) :args (@t51))
% 63.87/64.13  (step-pop @p513 :rule scope :premises (@p22))
% 63.87/64.13  (step @p23 :rule process_scope :premises (@p513) :args (@t50))
% 63.87/64.13  (step @p25 :rule eq_resolve :premises (@p23 @p20))
% 63.87/64.13  (step @p26 :rule implies_elim :premises (@p25))
% 63.87/64.13  (step @p27 :rule chain_m_resolution :premises (@p26 @p8) :args (@t49 @t52 @t53))
% 63.87/64.13  (step @p28 :rule arith_poly_norm :args ((= (* 1 (- @t55 @t58)) (* -1 @t57))))
% 63.87/64.13  (step @p29 :rule arith_poly_norm_rel :premises (@p28) :args ((= @t60 @t59)))
% 63.87/64.13  (step @p30 :rule cong :premises (@p19 @p29) :args ((=> @t27 @t60)))
% 63.87/64.13  (assume-push @p514 @t27)
% 63.87/64.13  (step @p32 :rule instantiate :premises (@p8) :args ((@list 0 @t44)))
% 63.87/64.13  (step-pop @p515 :rule scope :premises (@p32))
% 63.87/64.13  (step @p33 :rule process_scope :premises (@p515) :args (@t60))
% 63.87/64.13  (step @p35 :rule eq_resolve :premises (@p33 @p30))
% 63.87/64.13  (step @p36 :rule implies_elim :premises (@p35))
% 63.87/64.13  (step @p37 :rule chain_m_resolution :premises (@p36 @p8) :args (@t59 @t52 @t53))
% 63.87/64.13  (step @p38 :rule eq-symm :args (@t32 @t2))
% 63.87/64.13  (step @p39 :rule cong :premises (@p38) :args (@t33))
% 63.87/64.13  (step @p40 :rule eq_resolve :premises (@p12 @p39))
% 63.87/64.13  (step @p41 :rule instantiate :premises (@p40) :args ((@list @t44)))
% 63.87/64.13  (step @p42 :rule instantiate :premises (@p40) :args ((@list @t54)))
% 63.87/64.13  (step @p43 :rule bool-double-not-elim :args (@t66))
% 63.87/64.13  (step @p44 :rule refl :args (@t73))
% 63.87/64.13  (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t73 (not @t71))))
% 63.87/64.13  (step @p46 :rule cnf_or_neg :args (@t73 1))
% 63.87/64.13  (step @p47 :rule eq_resolve :premises (@p46 @p45))
% 63.87/64.13  (step @p48 :rule reordering :premises (@p47) :args ((or @t66 @t73)))
% 63.87/64.13  (step @p49 :rule cnf_or_neg :args (@t73 2))
% 63.87/64.13  (step @p50 :rule bool-double-not-elim :args (@t70))
% 63.87/64.13  (step @p51 :rule refl :args (@t71))
% 63.87/64.13  (step @p52 :rule refl :args (@t74))
% 63.87/64.13  (step @p53 :rule nary_cong :premises (@p52 @p51 @p50) :args ((or @t74 @t71 (not @t75))))
% 63.87/64.13  (assume-push @p516 @t66)
% 63.87/64.13  (assume-push @p517 @t26)
% 63.87/64.13  (assume-push @p518 @t75)
% 63.87/64.13  (step @p57 :rule arith-elim-lt :args (@t69 0))
% 63.87/64.13  (step @p58 :rule cong :premises (@p57) :args ((not @t76)))
% 63.87/64.13  (step @p59 :rule trans :premises (@p58 @p50))
% 63.87/64.13  (step @p60 :rule symm :premises (@p59))
% 63.87/64.13  (assume-push @p519 @t76)
% 63.87/64.13  (step @p62 :rule evaluate :args (@t77))
% 63.87/64.13  (step @p63 :rule evaluate :args (@t78))
% 63.87/64.13  (step @p64 :rule evaluate :args ((+ 0 0 0)))
% 63.87/64.13  (step @p65 :rule evaluate :args (@t79))
% 63.87/64.13  (step @p66 :rule refl :args (0))
% 63.87/64.13  (step @p67 :rule nary_cong :premises (@p66 @p66 @p65) :args (@t80))
% 63.87/64.13  (step @p68 :rule trans :premises (@p67 @p64))
% 63.87/64.13  (step @p69 :rule arith_poly_norm :args ((= @t82 0)))
% 63.87/64.13  (step @p70 :rule arith_poly_norm :args ((= @t83 @t82)))
% 63.87/64.13  (step @p71 :rule trans :premises (@p70 @p69))
% 63.87/64.13  (step @p72 :rule cong :premises (@p71 @p68) :args (@t84))
% 63.87/64.13  (step @p73 :rule trans :premises (@p72 @p63))
% 63.87/64.13  (step @p74 :rule cong :premises (@p73) :args ((not @t84)))
% 63.87/64.13  (step @p75 :rule trans :premises (@p74 @p62))
% 63.87/64.13  (step @p76 :rule arith-elim-lt :args (@t83 @t80))
% 63.87/64.13  (step @p77 :rule trans :premises (@p76 @p75))
% 63.87/64.13  (step @p78 :rule arith_mult_neg :args (-1 @t66))
% 63.87/64.13  (step @p79 :rule evaluate :args (@t85))
% 63.87/64.13  (step @p80 :rule true_elim :premises (@p79))
% 63.87/64.13  (step @p81 :rule and_intro :premises (@p80 @p516))
% 63.87/64.13  (step @p82 :rule modus_ponens :premises (@p81 @p78))
% 63.87/64.13  (step @p83 :rule arith_sum_ub :premises (@p519 @p7 @p82))
% 63.87/64.13  (step @p84 false :rule eq_resolve :premises (@p83 @p77))
% 63.87/64.13  (step-pop @p520 :rule scope :premises (@p84))
% 63.87/64.13  (step @p85 :rule process_scope :premises (@p520) :args (false))
% 63.87/64.13  (step @p87 :rule eq_resolve :premises (@p85 @p59))
% 63.87/64.13  (step @p88 :rule eq_resolve :premises (@p87 @p60))
% 63.87/64.13  (step @p89 :rule symm :premises (@p57))
% 63.87/64.13  (step @p90 :rule eq_resolve :premises (@p518 @p89))
% 63.87/64.13  (step @p91 false :rule contra :premises (@p90 @p88))
% 63.87/64.13  (step-pop @p521 :rule scope :premises (@p91))
% 63.87/64.13  (step-pop @p522 :rule scope :premises (@p521))
% 63.87/64.13  (step-pop @p523 :rule scope :premises (@p522))
% 63.87/64.13  (step @p92 :rule process_scope :premises (@p523) :args (false))
% 63.87/64.13  (assume-push @p524 @t26)
% 63.87/64.13  (assume-push @p525 @t66)
% 63.87/64.13  (assume-push @p526 @t75)
% 63.87/64.13  (step @p99 :rule and_intro :premises (@p525 @p7 @p526))
% 63.87/64.13  (step-pop @p527 :rule scope :premises (@p99))
% 63.87/64.13  (step-pop @p528 :rule scope :premises (@p527))
% 63.87/64.13  (step-pop @p529 :rule scope :premises (@p528))
% 63.87/64.13  (step @p100 :rule process_scope :premises (@p529) :args (@t86))
% 63.87/64.13  (step @p104 :rule implies_elim :premises (@p100))
% 63.87/64.13  (step @p105 :rule resolution :premises (@p104 @p92) :args (true @t86))
% 63.87/64.13  (step @p106 :rule not_and :premises (@p105))
% 63.87/64.13  (step @p107 :rule eq_resolve :premises (@p106 @p53))
% 63.87/64.13  (step @p108 :rule chain_m_resolution :premises (@p107 @p7 @p49 @p48) :args (@t73 (@list false true false) (@list @t26 @t70 @t66)))
% 63.87/64.13  (step @p109 :rule refl :args (@t87))
% 63.87/64.13  (step @p110 :rule bool-double-not-elim :args (@t64))
% 63.87/64.13  (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or (not @t88) @t87)))
% 63.87/64.13  (step @p112 :rule refl :args (@t68))
% 63.87/64.13  (step @p113 :rule refl :args (@t70))
% 63.87/64.13  (step @p114 :rule eq-symm :args (@t72 @t44))
% 63.87/64.13  (step @p115 :rule cong :premises (@p114) :args (@t89))
% 63.87/64.13  (step @p116 :rule nary_cong :premises (@p115 @p51 @p113 @p112) :args (@t90))
% 63.87/64.13  (step @p117 :rule cong :premises (@p116) :args (@t91))
% 63.87/64.13  (step @p118 :rule refl :args (@t88))
% 63.87/64.13  (step @p119 :rule cong :premises (@p118 @p117) :args ((=> @t88 @t91)))
% 63.87/64.13  (assume-push @p530 @t88)
% 63.87/64.13  (step @p121 :rule skolemize :premises (@p530))
% 63.87/64.13  (step-pop @p531 :rule scope :premises (@p121))
% 63.87/64.13  (step @p122 :rule process_scope :premises (@p531) :args (@t91))
% 63.87/64.13  (step @p124 :rule eq_resolve :premises (@p122 @p119))
% 63.87/64.13  (step @p125 :rule implies_elim :premises (@p124))
% 63.87/64.13  (step @p126 :rule eq_resolve :premises (@p125 @p111))
% 63.87/64.13  (step @p127 :rule chain_m_resolution :premises (@p126 @p108) :args (@t64 @t52 (@list @t73)))
% 63.87/64.13  (step @p128 :rule aci_norm :args ((= (or false false @t95 @t93) @t96)))
% 63.87/64.13  (step @p129 :rule refl :args (@t93))
% 63.87/64.13  (step @p130 :rule arith_poly_norm :args ((= (* -1 (- 1 @t97)) (* -1 (- @t61 0)))))
% 63.87/64.13  (step @p131 :rule arith_poly_norm_rel :premises (@p130) :args ((= (>= 1 @t97) (>= @t61 0))))
% 63.87/64.13  (step @p132 :rule arith-geq-tighten :args (@t25 1))
% 63.87/64.13  (step @p133 :rule trans :premises (@p132 @p131))
% 63.87/64.13  (step @p134 :rule symm :premises (@p133))
% 63.87/64.13  (step @p66 :rule refl :args (0))
% 63.87/64.13  (step @p135 :rule arith_poly_norm :args ((= @t98 @t61)))
% 63.87/64.13  (step @p136 :rule cong :premises (@p135 @p66) :args (@t99))
% 63.87/64.13  (step @p137 :rule trans :premises (@p136 @p134))
% 63.87/64.13  (step @p62 :rule evaluate :args (@t77))
% 63.87/64.13  (step @p63 :rule evaluate :args (@t78))
% 63.87/64.13  (step @p138 :rule cong :premises (@p63) :args (@t100))
% 63.87/64.13  (step @p139 :rule trans :premises (@p138 @p62))
% 63.87/64.13  (step @p140 :rule eq-refl :args (@t44))
% 63.87/64.13  (step @p141 :rule cong :premises (@p140) :args (@t101))
% 63.87/64.13  (step @p142 :rule trans :premises (@p141 @p62))
% 63.87/64.13  (step @p143 :rule nary_cong :premises (@p142 @p139 @p137 @p129) :args (@t102))
% 63.87/64.13  (step @p144 :rule trans :premises (@p143 @p128))
% 63.87/64.13  (step @p145 :rule refl :args (@t64))
% 63.87/64.13  (step @p146 :rule cong :premises (@p145 @p144) :args ((=> @t64 @t102)))
% 63.87/64.13  (assume-push @p532 @t64)
% 63.87/64.13  (step @p148 :rule instantiate :premises (@p532) :args (@t51))
% 63.87/64.13  (step-pop @p533 :rule scope :premises (@p148))
% 63.87/64.13  (step @p149 :rule process_scope :premises (@p533) :args (@t102))
% 63.87/64.13  (step @p151 :rule eq_resolve :premises (@p149 @p146))
% 63.87/64.13  (step @p152 :rule implies_elim :premises (@p151))
% 63.87/64.13  (step @p153 :rule chain_m_resolution :premises (@p152 @p127) :args (@t96 @t52 (@list @t64)))
% 63.87/64.13  (step @p154 :rule refl :args (@t103))
% 63.87/64.13  (step @p155 :rule bool-double-not-elim :args (@t105))
% 63.87/64.13  (step @p156 :rule refl :args (@t63))
% 63.87/64.13  (step @p157 :rule refl :args (@t106))
% 63.87/64.13  (step @p158 :rule nary_cong :premises (@p157 @p156 @p155 @p154) :args (@t109))
% 63.87/64.13  (step @p159 :rule aci_norm :args ((= (or @t106 (or @t63 (or @t108 @t103))) @t109)))
% 63.87/64.13  (step @p160 :rule trans :premises (@p159 @p158))
% 63.87/64.13  (step @p161 :rule bool-and-de-morgan :args (@t107 @t14 true))
% 63.87/64.13  (step @p162 :rule nary_cong :premises (@p156 @p161) :args ((or @t63 (not (and @t107 @t14)))))
% 63.87/64.13  (step @p163 :rule bool-and-de-morgan :args (@t62 @t107 (and @t14)))
% 63.87/64.13  (step @p164 :rule trans :premises (@p163 @p162))
% 63.87/64.13  (step @p165 :rule nary_cong :premises (@p157 @p164) :args ((or @t106 (not (and @t62 @t107 @t14)))))
% 63.87/64.13  (step @p166 :rule bool-and-de-morgan :args (@t16 @t62 (and @t107 @t14)))
% 63.87/64.13  (step @p167 :rule trans :premises (@p166 @p165))
% 63.87/64.13  (step @p168 :rule trans :premises (@p167 @p160))
% 63.87/64.13  (step @p169 :rule cong :premises (@p168) :args (@t111))
% 63.87/64.13  (step @p170 :rule cong :premises (@p169) :args (@t112))
% 63.87/64.13  (step @p171 :rule exists-elim :args ((= (exists @t18 @t110) @t112)))
% 63.87/64.13  (step @p172 :rule trans :premises (@p171 @p170))
% 63.87/64.13  (step @p173 :rule refl :args (@t14))
% 63.87/64.13  (step @p174 :rule arith_poly_norm :args ((= (* 1 (- @t1 @t13)) (* 1 (- @t104 0)))))
% 63.87/64.13  (step @p175 :rule arith_poly_norm_rel :premises (@p174) :args ((= @t113 @t105)))
% 63.87/64.13  (step @p176 :rule cong :premises (@p175) :args ((not @t113)))
% 63.87/64.13  (step @p177 :rule arith-elim-lt :args (@t1 @t13))
% 63.87/64.13  (step @p178 :rule trans :premises (@p177 @p176))
% 63.87/64.13  (step @p179 :rule arith-elim-leq :args (0 @t1))
% 63.87/64.13  (step @p180 :rule refl :args (@t16))
% 63.87/64.13  (step @p181 :rule nary_cong :premises (@p180 @p179 @p178 @p173) :args (@t17))
% 63.87/64.13  (step @p182 :rule cong :premises (@p181) :args (@t19))
% 63.87/64.13  (step @p183 :rule trans :premises (@p182 @p172))
% 63.87/64.13  (step @p184 :rule eq-symm :args (@t2 tptp.nil))
% 63.87/64.13  (step @p185 :rule nary_cong :premises (@p184 @p183) :args (@t20))
% 63.87/64.13  (step @p186 :rule refl :args (@t21))
% 63.87/64.13  (step @p187 :rule cong :premises (@p186 @p185) :args (@t22))
% 63.87/64.13  (step @p188 :rule cong :premises (@p187) :args (@t24))
% 63.87/64.13  (step @p189 :rule eq_resolve :premises (@p6 @p188))
% 63.87/64.13  (step @p190 :rule bool-eq-true :args (@t114))
% 63.87/64.13  (step @p191 :rule evaluate :args ((or true false)))
% 63.87/64.13  (step @p192 :rule quant-unused-vars :args ((= (forall @t18 true) true)))
% 63.87/64.13  (step @p193 :rule bool-or-taut2 :args ((or @t115) @t62 false (or @t116)))
% 63.87/64.13  (step @p194 :rule cong :premises (@p193) :args ((forall @t18 (or @t115 @t63 @t62 @t116))))
% 63.87/64.13  (step @p195 :rule trans :premises (@p194 @p192))
% 63.87/64.13  (step @p196 :rule refl :args (@t116))
% 63.87/64.13  (step @p197 :rule arith_poly_norm :args ((= (+ @t1 0) @t1)))
% 63.87/64.13  (step @p65 :rule evaluate :args (@t79))
% 63.87/64.13  (step @p198 :rule refl :args (@t1))
% 63.87/64.13  (step @p199 :rule nary_cong :premises (@p198 @p65) :args (@t117))
% 63.87/64.13  (step @p200 :rule trans :premises (@p199 @p197))
% 63.87/64.13  (step @p201 :rule cong :premises (@p200 @p66) :args (@t118))
% 63.87/64.13  (step @p202 :rule refl :args (@t63))
% 63.87/64.13  (step @p203 :rule refl :args (@t115))
% 63.87/64.13  (step @p204 :rule nary_cong :premises (@p203 @p202 @p201 @p196) :args (@t119))
% 63.87/64.13  (step @p205 :rule cong :premises (@p204) :args (@t120))
% 63.87/64.13  (step @p206 :rule trans :premises (@p205 @p195))
% 63.87/64.13  (step @p207 :rule cong :premises (@p206) :args (@t121))
% 63.87/64.13  (step @p208 :rule trans :premises (@p207 @p62))
% 63.87/64.13  (step @p209 :rule eq-refl :args (tptp.nil))
% 63.87/64.13  (step @p210 :rule nary_cong :premises (@p209 @p208) :args (@t122))
% 63.87/64.13  (step @p211 :rule trans :premises (@p210 @p191))
% 63.87/64.13  (step @p212 :rule refl :args (@t114))
% 63.87/64.13  (step @p213 :rule cong :premises (@p212 @p211) :args (@t123))
% 63.87/64.13  (step @p214 :rule trans :premises (@p213 @p190))
% 63.87/64.13  (step @p215 :rule refl :args (@t124))
% 63.87/64.13  (step @p216 :rule cong :premises (@p215 @p214) :args ((=> @t124 @t123)))
% 63.87/64.13  (assume-push @p534 @t124)
% 63.87/64.13  (step @p218 :rule instantiate :premises (@p189) :args (@t51))
% 63.87/64.13  (step-pop @p535 :rule scope :premises (@p218))
% 63.87/64.13  (step @p219 :rule process_scope :premises (@p535) :args (@t123))
% 63.87/64.13  (step @p221 :rule eq_resolve :premises (@p219 @p216))
% 63.87/64.13  (step @p222 :rule implies_elim :premises (@p221))
% 63.87/64.13  (step @p223 :rule chain_m_resolution :premises (@p222 @p189) :args (@t114 @t52 (@list @t124)))
% 63.87/64.13  (step @p224 :rule true_intro :premises (@p223))
% 63.87/64.13  (step @p225 :rule refl :args (tptp.nil))
% 63.87/64.13  (step @p226 :rule cong :premises (@p7 @p225) :args (@t92))
% 63.87/64.13  (step @p227 :rule trans :premises (@p226 @p224))
% 63.87/64.13  (step @p228 :rule true_elim :premises (@p227))
% 63.87/64.13  (step @p229 :rule cnf_or_pos :args (@t96))
% 63.87/64.13  (step @p230 :rule reordering :premises (@p229) :args ((or @t93 @t95 (not @t96))))
% 63.87/64.13  (step @p231 :rule chain_m_resolution :premises (@p230 @p228 @p153) :args (@t95 @t125 (@list @t92 @t96)))
% 63.87/64.13  (step @p232 :rule arith_poly_norm :args ((= (* 1 (- @t127 @t130)) (* -1 @t129))))
% 63.87/64.13  (step @p233 :rule arith_poly_norm_rel :premises (@p232) :args ((= @t132 @t131)))
% 63.87/64.13  (step @p234 :rule cong :premises (@p19 @p233) :args ((=> @t27 @t132)))
% 63.87/64.13  (assume-push @p536 @t27)
% 63.87/64.13  (step @p236 :rule instantiate :premises (@p8) :args ((@list 0 @t54)))
% 63.87/64.13  (step-pop @p537 :rule scope :premises (@p236))
% 63.87/64.13  (step @p237 :rule process_scope :premises (@p537) :args (@t132))
% 63.87/64.13  (step @p239 :rule eq_resolve :premises (@p237 @p234))
% 63.87/64.13  (step @p240 :rule implies_elim :premises (@p239))
% 63.87/64.13  (step @p241 :rule chain_m_resolution :premises (@p240 @p8) :args (@t131 @t52 @t53))
% 63.87/64.13  (step @p242 :rule instantiate :premises (@p13) :args ((@list 0 tptp.nil @t54)))
% 63.87/64.13  (step @p243 :rule aci_norm :args ((= (or (or @t137 @t135) @t133) (or @t137 @t135 @t133))))
% 63.87/64.13  (step @p244 :rule refl :args (@t133))
% 63.87/64.13  (step @p245 :rule bool-and-de-morgan :args (@t136 @t134 true))
% 63.87/64.13  (step @p246 :rule nary_cong :premises (@p245 @p244) :args ((or (not @t138) @t133)))
% 63.87/64.13  (step @p247 :rule trans :premises (@p246 @p243))
% 63.87/64.13  (step @p248 :rule bool-impl-elim :args (@t138 @t133))
% 63.87/64.13  (step @p249 :rule trans :premises (@p248 @p247))
% 63.87/64.13  (step @p250 :rule cong :premises (@p249) :args ((forall @t42 (=> @t138 @t133))))
% 63.87/64.13  (step @p251 :rule bool-double-not-elim :args (@t133))
% 63.87/64.13  (step @p252 :rule evaluate :args (@t139))
% 63.87/64.13  (step @p253 :rule refl :args (@t37))
% 63.87/64.13  (step @p254 :rule cong :premises (@p253 @p252) :args (@t140))
% 63.87/64.13  (step @p255 :rule cong :premises (@p254) :args ((not @t140)))
% 63.87/64.13  (step @p256 :rule arith-leq-norm :args (@t37 4))
% 63.87/64.13  (step @p257 :rule trans :premises (@p256 @p255))
% 63.87/64.13  (step @p258 :rule cong :premises (@p257) :args ((not (<= @t37 4))))
% 63.87/64.13  (step @p259 :rule trans :premises (@p258 @p251))
% 63.87/64.13  (step @p260 :rule arith-elim-leq :args (@t37 4))
% 63.87/64.13  (step @p261 :rule symm :premises (@p260))
% 63.87/64.13  (step @p262 :rule cong :premises (@p261) :args ((not (>= 4 @t37))))
% 63.87/64.13  (step @p263 :rule arith-elim-gt :args (@t37 4))
% 63.87/64.13  (step @p264 :rule trans :premises (@p263 @p262))
% 63.87/64.13  (step @p265 :rule trans :premises (@p264 @p259))
% 63.87/64.13  (step @p266 :rule bool-double-not-elim :args (@t134))
% 63.87/64.13  (step @p267 :rule evaluate :args (@t141))
% 63.87/64.13  (step @p268 :rule refl :args (@t38))
% 63.87/64.13  (step @p269 :rule cong :premises (@p268 @p267) :args (@t142))
% 63.87/64.13  (step @p270 :rule cong :premises (@p269) :args ((not @t142)))
% 63.87/64.13  (step @p271 :rule arith-leq-norm :args (@t38 1))
% 63.87/64.13  (step @p272 :rule trans :premises (@p271 @p270))
% 63.87/64.13  (step @p273 :rule cong :premises (@p272) :args ((not (<= @t38 1))))
% 63.87/64.13  (step @p274 :rule trans :premises (@p273 @p266))
% 63.87/64.13  (step @p275 :rule arith-elim-leq :args (@t38 1))
% 63.87/64.13  (step @p276 :rule symm :premises (@p275))
% 63.87/64.13  (step @p277 :rule cong :premises (@p276) :args ((not (>= 1 @t38))))
% 63.87/64.13  (step @p278 :rule arith-elim-gt :args (@t38 1))
% 63.87/64.13  (step @p279 :rule trans :premises (@p278 @p277))
% 63.87/64.13  (step @p280 :rule trans :premises (@p279 @p274))
% 63.87/64.13  (step @p281 :rule bool-double-not-elim :args (@t136))
% 63.87/64.13  (step @p282 :rule refl :args (@t39))
% 63.87/64.13  (step @p283 :rule cong :premises (@p282 @p267) :args (@t143))
% 63.87/64.13  (step @p284 :rule cong :premises (@p283) :args ((not @t143)))
% 63.87/64.13  (step @p285 :rule arith-leq-norm :args (@t39 1))
% 63.87/64.13  (step @p286 :rule trans :premises (@p285 @p284))
% 63.87/64.13  (step @p287 :rule cong :premises (@p286) :args ((not (<= @t39 1))))
% 63.87/64.13  (step @p288 :rule trans :premises (@p287 @p281))
% 63.87/64.13  (step @p289 :rule arith-elim-leq :args (@t39 1))
% 63.87/64.13  (step @p290 :rule symm :premises (@p289))
% 63.87/64.13  (step @p291 :rule cong :premises (@p290) :args ((not (>= 1 @t39))))
% 63.87/64.13  (step @p292 :rule arith-elim-gt :args (@t39 1))
% 63.87/64.13  (step @p293 :rule trans :premises (@p292 @p291))
% 63.87/64.13  (step @p294 :rule trans :premises (@p293 @p288))
% 63.87/64.13  (step @p295 :rule nary_cong :premises (@p294 @p280) :args (@t40))
% 63.87/64.13  (step @p296 :rule cong :premises (@p295 @p265) :args (@t41))
% 63.87/64.13  (step @p297 :rule cong :premises (@p296) :args (@t43))
% 63.87/64.13  (step @p298 :rule trans :premises (@p297 @p250))
% 63.87/64.13  (step @p299 :rule bool-double-not-elim :args (@t43))
% 63.87/64.13  (step @p300 :rule trans :premises (@p299 @p298))
% 63.87/64.13  (step @p301 :rule eq_resolve :premises (@p15 @p300))
% 63.87/64.13  (step @p302 :rule instantiate :premises (@p301) :args ((@list @t54 @t54)))
% 63.87/64.13  (step @p303 :rule bool-double-not-elim :args (@t144))
% 63.87/64.13  (step @p304 :rule refl :args (@t145))
% 63.87/64.13  (step @p305 :rule refl :args (@t146))
% 63.87/64.13  (step @p306 :rule nary_cong :premises (@p52 @p305 @p304 @p303) :args ((or @t74 @t146 @t145 (not @t147))))
% 63.87/64.13  (assume-push @p538 @t26)
% 63.87/64.13  (assume-push @p539 @t59)
% 63.87/64.13  (assume-push @p540 @t49)
% 63.87/64.13  (assume-push @p541 @t147)
% 63.87/64.13  (step @p311 :rule arith-elim-lt :args (@t55 2))
% 63.87/64.13  (step @p312 :rule cong :premises (@p311) :args ((not @t148)))
% 63.87/64.13  (step @p313 :rule trans :premises (@p312 @p303))
% 63.87/64.13  (step @p314 :rule symm :premises (@p313))
% 63.87/64.13  (assume-push @p542 @t148)
% 63.87/64.13  (step @p316 :rule evaluate :args ((+ 2 -1 -1 0)))
% 63.87/64.13  (step @p317 :rule refl :args (-1))
% 63.87/64.13  (step @p318 :rule refl :args (2))
% 63.87/64.13  (step @p319 :rule nary_cong :premises (@p318 @p317 @p317 @p65) :args (@t149))
% 63.87/64.13  (step @p320 :rule trans :premises (@p319 @p316))
% 63.87/64.13  (step @p321 :rule arith_poly_norm :args ((= @t152 0)))
% 63.87/64.13  (step @p322 :rule arith_poly_norm :args ((= @t155 @t152)))
% 63.87/64.13  (step @p323 :rule trans :premises (@p322 @p321))
% 63.87/64.13  (step @p324 :rule cong :premises (@p323 @p320) :args (@t156))
% 63.87/64.13  (step @p325 :rule trans :premises (@p324 @p63))
% 63.87/64.13  (step @p326 :rule cong :premises (@p325) :args ((not @t156)))
% 63.87/64.13  (step @p327 :rule trans :premises (@p326 @p62))
% 63.87/64.13  (step @p328 :rule arith-elim-lt :args (@t155 @t149))
% 63.87/64.13  (step @p329 :rule trans :premises (@p328 @p327))
% 63.87/64.13  (step @p330 :rule arith_mult_neg :args (-1 @t26))
% 63.87/64.13  (step @p79 :rule evaluate :args (@t85))
% 63.87/64.13  (step @p80 :rule true_elim :premises (@p79))
% 63.87/64.13  (step @p331 :rule and_intro :premises (@p80 @p7))
% 63.87/64.13  (step @p332 :rule modus_ponens :premises (@p331 @p330))
% 63.87/64.13  (step @p333 :rule arith_poly_norm :args (@t157))
% 63.87/64.13  (step @p334 :rule arith_poly_norm_rel :premises (@p333) :args (@t159))
% 63.87/64.13  (step @p335 :rule symm :premises (@p334))
% 63.87/64.13  (step @p336 :rule eq_resolve :premises (@p37 @p335))
% 63.87/64.13  (step @p337 :rule arith_poly_norm :args (@t160))
% 63.87/64.13  (step @p338 :rule arith_poly_norm_rel :premises (@p337) :args (@t162))
% 63.87/64.13  (step @p339 :rule symm :premises (@p338))
% 63.87/64.13  (step @p340 :rule eq_resolve :premises (@p27 @p339))
% 63.87/64.13  (step @p341 :rule arith_sum_ub :premises (@p542 @p340 @p336 @p332))
% 63.87/64.13  (step @p342 false :rule eq_resolve :premises (@p341 @p329))
% 63.87/64.13  (step-pop @p543 :rule scope :premises (@p342))
% 63.87/64.13  (step @p343 :rule process_scope :premises (@p543) :args (false))
% 63.87/64.13  (step @p345 :rule eq_resolve :premises (@p343 @p313))
% 63.87/64.13  (step @p346 :rule eq_resolve :premises (@p345 @p314))
% 63.87/64.13  (step @p347 :rule symm :premises (@p311))
% 63.87/64.13  (step @p348 :rule eq_resolve :premises (@p541 @p347))
% 63.87/64.13  (step @p349 false :rule contra :premises (@p348 @p346))
% 63.87/64.13  (step-pop @p544 :rule scope :premises (@p349))
% 63.87/64.13  (step-pop @p545 :rule scope :premises (@p544))
% 63.87/64.13  (step-pop @p546 :rule scope :premises (@p545))
% 63.87/64.13  (step-pop @p547 :rule scope :premises (@p546))
% 63.87/64.13  (step @p350 :rule process_scope :premises (@p547) :args (false))
% 63.87/64.13  (assume-push @p548 @t26)
% 63.87/64.13  (assume-push @p549 @t49)
% 63.87/64.13  (assume-push @p550 @t59)
% 63.87/64.13  (assume-push @p551 @t147)
% 63.87/64.13  (step @p359 :rule and_intro :premises (@p7 @p37 @p27 @p551))
% 63.87/64.13  (step-pop @p552 :rule scope :premises (@p359))
% 63.87/64.13  (step-pop @p553 :rule scope :premises (@p552))
% 63.87/64.13  (step-pop @p554 :rule scope :premises (@p553))
% 63.87/64.13  (step-pop @p555 :rule scope :premises (@p554))
% 63.87/64.13  (step @p360 :rule process_scope :premises (@p555) :args (@t163))
% 63.87/64.13  (step @p365 :rule implies_elim :premises (@p360))
% 63.87/64.13  (step @p366 :rule resolution :premises (@p365 @p350) :args (true @t163))
% 63.87/64.13  (step @p367 :rule not_and :premises (@p366))
% 63.87/64.13  (step @p368 :rule eq_resolve :premises (@p367 @p306))
% 63.87/64.13  (step @p369 :rule chain_m_resolution :premises (@p368 @p7 @p27 @p37) :args (@t144 (@list false false false) (@list @t26 @t49 @t59)))
% 63.87/64.13  (step @p370 :rule cnf_or_pos :args (@t167))
% 63.87/64.13  (step @p371 :rule factoring :premises (@p370))
% 63.87/64.13  (step @p372 :rule reordering :premises (@p371) :args ((or @t147 @t166 (not @t167))))
% 63.87/64.13  (step @p373 :rule chain_m_resolution :premises (@p372 @p369 @p302) :args (@t166 @t125 (@list @t144 @t167)))
% 63.87/64.13  (step @p374 :rule instantiate :premises (@p13) :args ((@list 0 @t168 @t54)))
% 63.87/64.13  (step @p375 :rule arith_poly_norm :args ((= (* 1 (- @t169 @t172)) (* -1 @t171))))
% 63.87/64.13  (step @p376 :rule arith_poly_norm_rel :premises (@p375) :args ((= @t174 @t173)))
% 63.87/64.13  (step @p377 :rule cong :premises (@p19 @p376) :args ((=> @t27 @t174)))
% 63.87/64.13  (assume-push @p556 @t27)
% 63.87/64.13  (step @p379 :rule instantiate :premises (@p8) :args ((@list 0 @t126)))
% 63.87/64.13  (step-pop @p557 :rule scope :premises (@p379))
% 63.87/64.13  (step @p380 :rule process_scope :premises (@p557) :args (@t174))
% 63.87/64.13  (step @p382 :rule eq_resolve :premises (@p380 @p377))
% 63.87/64.13  (step @p383 :rule implies_elim :premises (@p382))
% 63.87/64.13  (step @p384 :rule chain_m_resolution :premises (@p383 @p8) :args (@t173 @t52 @t53))
% 63.87/64.13  (step @p385 :rule refl :args (@t175))
% 63.87/64.13  (step @p386 :rule refl :args (@t179))
% 63.87/64.13  (step @p387 :rule refl :args (@t180))
% 63.87/64.13  (step @p388 :rule refl :args (@t184))
% 63.87/64.13  (step @p389 :rule refl :args (@t185))
% 63.87/64.13  (step @p390 :rule bool-double-not-elim :args (@t94))
% 63.87/64.13  (step @p391 :rule refl :args (@t187))
% 63.87/64.13  (step @p392 :rule refl :args (@t189))
% 63.87/64.13  (step @p393 :rule nary_cong :premises (@p305 @p304 @p392 @p391 @p390 @p389 @p388 @p387 @p386 @p385) :args ((or @t146 @t145 @t189 @t187 (not @t95) @t185 @t184 @t180 @t179 @t175)))
% 63.87/64.13  (assume-push @p558 @t166)
% 63.87/64.13  (assume-push @p559 @t173)
% 63.87/64.13  (assume-push @p560 @t131)
% 63.87/64.13  (assume-push @p561 @t95)
% 63.87/64.13  (assume-push @p562 @t49)
% 63.87/64.13  (assume-push @p563 @t59)
% 63.87/64.13  (assume-push @p564 @t190)
% 63.87/64.13  (assume-push @p565 @t193)
% 63.87/64.13  (step @p402 :rule evaluate :args ((+ 0 1 1 1 1 1 -5)))
% 63.87/64.13  (step @p403 :rule evaluate :args (@t194))
% 63.87/64.13  (step @p404 :rule evaluate :args (@t195))
% 63.87/64.13  (step @p405 :rule refl :args (1))
% 63.87/64.13  (step @p406 :rule nary_cong :premises (@p66 @p404 @p404 @p405 @p404 @p404 @p403) :args (@t196))
% 63.87/64.13  (step @p407 :rule trans :premises (@p406 @p402))
% 63.87/64.13  (step @p408 :rule arith_poly_norm :args ((= (+ @t198 0 @t165 @t127 @t197 @t55 @t151 @t45 @t150 0) 0)))
% 63.87/64.13  (step @p409 :rule arith_poly_norm :args ((= @t199 0)))
% 63.87/64.13  (step @p410 :rule refl :args (@t150))
% 63.87/64.13  (step @p411 :rule refl :args (@t45))
% 63.87/64.13  (step @p412 :rule refl :args (@t151))
% 63.87/64.13  (step @p413 :rule refl :args (@t55))
% 63.87/64.13  (step @p414 :rule refl :args (@t197))
% 63.87/64.13  (step @p415 :rule refl :args (@t127))
% 63.87/64.13  (step @p416 :rule refl :args (@t165))
% 63.87/64.13  (step @p417 :rule arith_poly_norm :args ((= @t200 0)))
% 63.87/64.13  (step @p418 :rule refl :args (@t198))
% 63.87/64.13  (step @p419 :rule nary_cong :premises (@p418 @p417 @p416 @p415 @p414 @p413 @p412 @p411 @p410 @p409) :args (@t201))
% 63.87/64.13  (step @p420 :rule trans :premises (@p419 @p408))
% 63.87/64.13  (step @p421 :rule arith_poly_norm :args ((= @t204 @t201)))
% 63.87/64.13  (step @p422 :rule trans :premises (@p421 @p420))
% 63.87/64.13  (step @p423 :rule cong :premises (@p422 @p407) :args (@t205))
% 63.87/64.13  (step @p424 :rule trans :premises (@p423 @p63))
% 63.87/64.13  (step @p425 :rule cong :premises (@p424) :args ((not @t205)))
% 63.87/64.13  (step @p426 :rule trans :premises (@p425 @p62))
% 63.87/64.13  (step @p427 :rule arith-elim-lt :args (@t204 @t196))
% 63.87/64.13  (step @p428 :rule trans :premises (@p427 @p426))
% 63.87/64.13  (step @p429 :rule arith_mult_neg :args (-1 @t166))
% 63.87/64.13  (step @p79 :rule evaluate :args (@t85))
% 63.87/64.13  (step @p80 :rule true_elim :premises (@p79))
% 63.87/64.13  (step @p430 :rule and_intro :premises (@p80 @p558))
% 63.87/64.13  (step @p431 :rule modus_ponens :premises (@p430 @p429))
% 63.87/64.13  (step @p432 :rule arith_mult_neg :args (-1 @t206))
% 63.87/64.13  (step @p433 :rule arith_poly_norm :args ((= (* 1 (- @t202 -1)) (* 1 @t171))))
% 63.87/64.13  (step @p434 :rule arith_poly_norm_rel :premises (@p433) :args ((= @t206 @t173)))
% 63.87/64.13  (step @p435 :rule symm :premises (@p434))
% 63.87/64.13  (step @p436 :rule eq_resolve :premises (@p384 @p435))
% 63.87/64.13  (step @p437 :rule and_intro :premises (@p80 @p436))
% 63.87/64.13  (step @p438 :rule modus_ponens :premises (@p437 @p432))
% 63.87/64.13  (step @p439 :rule arith_mult_neg :args (-1 @t207))
% 63.87/64.13  (step @p440 :rule arith_poly_norm :args ((= (* 1 (- @t203 -1)) (* 1 @t129))))
% 63.87/64.13  (step @p441 :rule arith_poly_norm_rel :premises (@p440) :args ((= @t207 @t131)))
% 63.87/64.13  (step @p442 :rule symm :premises (@p441))
% 63.87/64.13  (step @p443 :rule eq_resolve :premises (@p241 @p442))
% 63.87/64.13  (step @p444 :rule and_intro :premises (@p80 @p443))
% 63.87/64.13  (step @p445 :rule modus_ponens :premises (@p444 @p439))
% 63.87/64.13  (step @p446 :rule arith-elim-lt :args (@t25 1))
% 63.87/64.13  (step @p447 :rule symm :premises (@p446))
% 63.87/64.13  (step @p448 :rule eq_resolve :premises (@p561 @p447))
% 63.87/64.13  (step @p449 :rule arith_mult_neg :args (-1 @t161))
% 63.87/64.13  (step @p337 :rule arith_poly_norm :args (@t160))
% 63.87/64.13  (step @p338 :rule arith_poly_norm_rel :premises (@p337) :args (@t162))
% 63.87/64.13  (step @p339 :rule symm :premises (@p338))
% 63.87/64.13  (step @p340 :rule eq_resolve :premises (@p27 @p339))
% 63.87/64.13  (step @p450 :rule and_intro :premises (@p80 @p340))
% 63.87/64.13  (step @p451 :rule modus_ponens :premises (@p450 @p449))
% 63.87/64.13  (step @p452 :rule arith_mult_neg :args (-1 @t158))
% 63.87/64.13  (step @p333 :rule arith_poly_norm :args (@t157))
% 63.87/64.13  (step @p334 :rule arith_poly_norm_rel :premises (@p333) :args (@t159))
% 63.87/64.13  (step @p335 :rule symm :premises (@p334))
% 63.87/64.13  (step @p336 :rule eq_resolve :premises (@p37 @p335))
% 63.87/64.13  (step @p453 :rule and_intro :premises (@p80 @p336))
% 63.87/64.13  (step @p454 :rule modus_ponens :premises (@p453 @p452))
% 63.87/64.13  (step @p455 :rule arith_sum_ub :premises (@p565 @p454 @p451 @p448 @p445 @p438 @p431))
% 63.87/64.13  (step @p456 false :rule eq_resolve :premises (@p455 @p428))
% 63.87/64.13  (step-pop @p566 :rule scope :premises (@p456))
% 63.87/64.13  (step @p457 :rule process_scope :premises (@p566) :args (false))
% 63.87/64.13  (step @p459 :rule arith_poly_norm :args ((= (* 1 (- @t192 0)) (* 1 (- @t165 @t169)))))
% 63.87/64.13  (step @p460 :rule arith_poly_norm_rel :premises (@p459) :args ((= @t193 @t190)))
% 63.87/64.13  (step @p461 :rule symm :premises (@p460))
% 63.87/64.13  (step @p462 :rule symm :premises (@p42))
% 63.87/64.13  (step @p463 :rule cong :premises (@p66 @p462) :args (@t182))
% 63.87/64.13  (step @p464 :rule refl :args (@t54))
% 63.87/64.13  (step @p465 :rule symm :premises (@p41))
% 63.87/64.13  (step @p466 :rule cong :premises (@p465 @p464) :args (@t176))
% 63.87/64.13  (step @p467 :rule trans :premises (@p466 @p242 @p463))
% 63.87/64.13  (step @p468 :rule cong :premises (@p66 @p467) :args (@t177))
% 63.87/64.13  (step @p469 :rule cong :premises (@p66 @p41) :args (@t54))
% 63.87/64.13  (step @p470 :rule cong :premises (@p469 @p464) :args (@t164))
% 63.87/64.13  (step @p471 :rule trans :premises (@p470 @p374 @p468))
% 63.87/64.13  (step @p472 :rule cong :premises (@p471) :args (@t165))
% 63.87/64.13  (step @p473 :rule eq_resolve :premises (@p472 @p461))
% 63.87/64.13  (step @p474 false :rule contra :premises (@p473 @p457))
% 63.87/64.13  (step-pop @p567 :rule scope :premises (@p474))
% 63.87/64.13  (step-pop @p568 :rule scope :premises (@p567))
% 63.87/64.13  (step-pop @p569 :rule scope :premises (@p568))
% 63.87/64.13  (step-pop @p570 :rule scope :premises (@p569))
% 63.87/64.13  (step-pop @p571 :rule scope :premises (@p570))
% 63.87/64.13  (step-pop @p572 :rule scope :premises (@p571))
% 63.87/64.13  (step-pop @p573 :rule scope :premises (@p572))
% 63.87/64.13  (step @p475 :rule process_scope :premises (@p573) :args (false))
% 63.87/64.13  (assume-push @p574 @t49)
% 63.87/64.13  (assume-push @p575 @t59)
% 63.87/64.13  (assume-push @p576 @t188)
% 63.87/64.13  (assume-push @p577 @t186)
% 63.87/64.13  (assume-push @p578 @t95)
% 63.87/64.13  (assume-push @p579 @t131)
% 63.87/64.13  (assume-push @p580 @t183)
% 63.87/64.13  (assume-push @p581 @t166)
% 63.87/64.13  (assume-push @p582 @t178)
% 63.87/64.13  (assume-push @p583 @t173)
% 63.87/64.13  (step @p462 :rule symm :premises (@p42))
% 63.87/64.13  (step @p463 :rule cong :premises (@p66 @p462) :args (@t182))
% 63.87/64.13  (step @p464 :rule refl :args (@t54))
% 63.87/64.13  (step @p465 :rule symm :premises (@p41))
% 63.87/64.13  (step @p466 :rule cong :premises (@p465 @p464) :args (@t176))
% 63.87/64.13  (step @p467 :rule trans :premises (@p466 @p242 @p463))
% 63.87/64.13  (step @p468 :rule cong :premises (@p66 @p467) :args (@t177))
% 63.87/64.13  (step @p469 :rule cong :premises (@p66 @p41) :args (@t54))
% 63.87/64.13  (step @p470 :rule cong :premises (@p469 @p464) :args (@t164))
% 63.87/64.13  (step @p471 :rule trans :premises (@p470 @p374 @p468))
% 63.87/64.13  (step @p493 :rule cong :premises (@p471) :args (@t165))
% 63.87/64.13  (step @p494 :rule and_intro :premises (@p581 @p384 @p241 @p578 @p27 @p37 @p493))
% 63.87/64.13  (step-pop @p584 :rule scope :premises (@p494))
% 63.87/64.13  (step-pop @p585 :rule scope :premises (@p584))
% 63.87/64.13  (step-pop @p586 :rule scope :premises (@p585))
% 63.87/64.13  (step-pop @p587 :rule scope :premises (@p586))
% 63.87/64.13  (step-pop @p588 :rule scope :premises (@p587))
% 63.87/64.13  (step-pop @p589 :rule scope :premises (@p588))
% 63.87/64.13  (step-pop @p590 :rule scope :premises (@p589))
% 63.87/64.13  (step-pop @p591 :rule scope :premises (@p590))
% 63.87/64.13  (step-pop @p592 :rule scope :premises (@p591))
% 63.87/64.13  (step-pop @p593 :rule scope :premises (@p592))
% 63.87/64.13  (step @p495 :rule process_scope :premises (@p593) :args (@t208))
% 63.87/64.13  (step @p506 :rule implies_elim :premises (@p495))
% 63.87/64.13  (step @p507 :rule resolution :premises (@p506 @p475) :args (true @t208))
% 63.87/64.13  (step @p508 :rule not_and :premises (@p507))
% 63.87/64.13  (step @p509 :rule eq_resolve :premises (@p508 @p393))
% 63.87/64.13  (step @p510 :rule reordering :premises (@p509) :args ((or @t146 @t145 @t189 @t94 @t187 @t185 @t184 @t180 @t179 @t175)))
% 63.87/64.13  (step @p511 false :rule chain_m_resolution :premises (@p510 @p384 @p374 @p373 @p242 @p241 @p231 @p42 @p41 @p37 @p27) :args (false (@list false false false false false true false false false false) (@list @t173 @t178 @t166 @t183 @t131 @t94 @t186 @t188 @t59 @t49)))
% 63.87/64.13  )
% 63.87/64.13  % SZS output end Proof
% 63.87/64.13  % cvc5 exiting
%------------------------------------------------------------------------------