0.06/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.12	% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 120 THM
0.12/0.33	% Computer : n029.cluster.edu
0.12/0.33	% Model    : x86_64 x86_64
0.12/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory   : 8042.1875MB
0.12/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit : 960
0.12/0.33	% WCLimit  : 120
0.12/0.33	% DateTime : Fri Sep  5 12:21:07 EDT 2025
0.12/0.34	% CPUTime  : 
0.19/0.49	%----Proving TF0_ARI
30.61/30.79	--- Run --finite-model-find --decision=internal at 18...
30.61/30.79	--- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 24...
30.61/30.79	--- Run --no-e-matching --full-saturate-quant at 18...
30.61/30.79	% SZS status Theorem
30.61/30.79	% SZS output start Proof
30.61/30.79	(
30.61/30.79	(declare-type tptp.list ())
30.61/30.79	(declare-const tptp.in (-> Int tptp.list Bool))
30.61/30.79	(declare-const tptp.append (-> tptp.list tptp.list tptp.list))
30.61/30.79	(declare-const tptp.head (-> tptp.list Int))
30.61/30.79	(declare-const tptp.tail (-> tptp.list tptp.list))
30.61/30.79	(declare-const tptp.count (-> Int tptp.list Int))
30.61/30.79	(declare-const tptp.length (-> tptp.list Int))
30.61/30.79	(declare-const tptp.cons (-> Int tptp.list tptp.list))
30.61/30.79	(declare-const tptp.nil tptp.list)
30.61/30.79	(declare-const tptp.inRange (-> Int tptp.list Bool))
30.61/30.79	(define @t1 () (@var "L" tptp.list))
30.61/30.79	(define @t2 () (@var "N" Int))
30.61/30.79	(define @t3 () (tptp.inRange @t2 @t1))
30.61/30.79	(define @t4 () (= @t1 tptp.nil))
30.61/30.79	(define @t5 () (@var "T" tptp.list))
30.61/30.79	(define @t6 () (tptp.inRange @t2 @t5))
30.61/30.79	(define @t7 () (@var "K" Int))
30.61/30.79	(define @t8 () (tptp.cons @t7 @t5))
30.61/30.79	(define @t9 () (= @t1 @t8))
30.61/30.79	(define @t10 () (and @t9 (<= 0 @t7) (< @t7 @t2) @t6))
30.61/30.79	(define @t11 () (@list @t7 @t5))
30.61/30.79	(define @t12 () (exists @t11 @t10))
30.61/30.79	(define @t13 () (or @t12 @t4))
30.61/30.79	(define @t14 () (= @t13 @t3))
30.61/30.79	(define @t15 () (@list @t2 @t1))
30.61/30.79	(define @t16 () (forall @t15 @t14))
30.61/30.79	(define @t17 () (tptp.cons @t7 @t1))
30.61/30.79	(define @t18 () (@list @t7 @t1))
30.61/30.79	(define @t19 () (@var "H" Int))
30.61/30.79	(define @t20 () (tptp.cons @t19 @t5))
30.61/30.79	(define @t21 () (@list @t19 @t5))
30.61/30.79	(define @t22 () (forall @t21 (= (tptp.length @t20) (+ 1 (tptp.length @t5)))))
30.61/30.79	(define @t23 () (tptp.length tptp.nil))
30.61/30.79	(define @t24 () (= @t23 0))
30.61/30.79	(define @t25 () (tptp.count @t7 @t5))
30.61/30.79	(define @t26 () (tptp.count @t7 @t20))
30.61/30.79	(define @t27 () (= @t7 @t19))
30.61/30.79	(define @t28 () (@list @t7 @t19 @t5 @t2))
30.61/30.79	(define @t29 () (@list @t1))
30.61/30.79	(define @t30 () (tptp.append tptp.nil @t1))
30.61/30.79	(define @t31 () (forall @t29 (= @t30 @t1)))
30.61/30.79	(define @t32 () (= @t1 @t20))
30.61/30.79	(define @t33 () (@var "X" Int))
30.61/30.79	(define @t34 () (@var "K" tptp.list))
30.61/30.79	(define @t35 () (tptp.append @t34 @t1))
30.61/30.79	(define @t36 () (@var "I" Int))
30.61/30.79	(define @t37 () (tptp.length @t35))
30.61/30.79	(define @t38 () (tptp.length @t1))
30.61/30.79	(define @t39 () (tptp.length @t34))
30.61/30.79	(define @t40 () (and (> @t39 1) (> @t38 1)))
30.61/30.79	(define @t41 () (=> @t40 (> @t37 4)))
30.61/30.79	(define @t42 () (@list @t34 @t1))
30.61/30.79	(define @t43 () (forall @t42 @t41))
30.61/30.79	(define @t44 () (tptp.cons 0 tptp.nil))
30.61/30.79	(define @t45 () (tptp.length @t44))
30.61/30.79	(define @t46 () (+ -1 @t45))
30.61/30.79	(define @t47 () (- @t23 @t46))
30.61/30.79	(define @t48 () (+ 1 @t23))
30.61/30.79	(define @t49 () (= @t23 @t46))
30.61/30.79	(define @t50 () (= @t45 @t48))
30.61/30.79	(define @t51 () (@list 0 tptp.nil))
30.61/30.79	(define @t52 () (@list false))
30.61/30.79	(define @t53 () (@list @t22))
30.61/30.79	(define @t54 () (tptp.cons 0 @t44))
30.61/30.79	(define @t55 () (tptp.length @t54))
30.61/30.79	(define @t56 () (+ -1 @t55))
30.61/30.79	(define @t57 () (- @t45 @t56))
30.61/30.79	(define @t58 () (+ 1 @t45))
30.61/30.79	(define @t59 () (= @t45 @t56))
30.61/30.79	(define @t60 () (= @t55 @t58))
30.61/30.79	(define @t61 () (* -1 @t23))
30.61/30.79	(define @t62 () (>= @t7 0))
30.61/30.79	(define @t63 () (not @t62))
30.61/30.79	(define @t64 () (forall @t11 (or (not (= @t8 @t44)) @t63 (>= (+ @t7 @t61) 0) (not (tptp.inRange @t23 @t5)))))
30.61/30.79	(define @t65 () (@quantifiers_skolemize @t64 0))
30.61/30.79	(define @t66 () (>= @t65 0))
30.61/30.79	(define @t67 () (@quantifiers_skolemize @t64 1))
30.61/30.79	(define @t68 () (not (tptp.inRange @t23 @t67)))
30.61/30.79	(define @t69 () (+ @t65 @t61))
30.61/30.79	(define @t70 () (>= @t69 0))
30.61/30.79	(define @t71 () (not @t66))
30.61/30.79	(define @t72 () (tptp.cons @t65 @t67))
30.61/30.79	(define @t73 () (or (not (= @t44 @t72)) @t71 @t70 @t68))
30.61/30.79	(define @t74 () (not @t24))
30.61/30.79	(define @t75 () (not @t70))
30.61/30.79	(define @t76 () (< @t69 0))
30.61/30.79	(define @t77 () (not true))
30.61/30.79	(define @t78 () (>= 0 0))
30.61/30.79	(define @t79 () (* -1 0))
30.61/30.79	(define @t80 () (+ 0 0 @t79))
30.61/30.79	(define @t81 () (* -1 @t65))
30.61/30.79	(define @t82 () (+ @t81 @t65 @t61 @t23))
30.61/30.79	(define @t83 () (+ @t69 @t23 @t81))
30.61/30.79	(define @t84 () (>= @t83 @t80))
30.61/30.79	(define @t85 () (< -1 0))
30.61/30.79	(define @t86 () (and @t66 @t24 @t75))
30.61/30.79	(define @t87 () (not @t73))
30.61/30.79	(define @t88 () (not @t64))
30.61/30.79	(define @t89 () (not (= @t72 @t44)))
30.61/30.79	(define @t90 () (or @t89 @t71 @t70 @t68))
30.61/30.79	(define @t91 () (not @t90))
30.61/30.79	(define @t92 () (tptp.inRange @t23 tptp.nil))
30.61/30.79	(define @t93 () (not @t92))
30.61/30.79	(define @t94 () (>= @t23 1))
30.61/30.79	(define @t95 () (not @t94))
30.61/30.79	(define @t96 () (or @t95 @t93))
30.61/30.79	(define @t97 () (+ @t23 1))
30.61/30.79	(define @t98 () (+ 0 @t61))
30.61/30.79	(define @t99 () (>= @t98 0))
30.61/30.79	(define @t100 () (not @t78))
30.61/30.79	(define @t101 () (not (= @t44 @t44)))
30.61/30.79	(define @t102 () (or @t101 @t100 @t99 @t93))
30.61/30.79	(define @t103 () (not @t6))
30.61/30.79	(define @t104 () (* -1 @t7))
30.61/30.79	(define @t105 () (+ @t2 @t104))
30.61/30.79	(define @t106 () (>= @t105 1))
30.61/30.79	(define @t107 () (not @t106))
30.61/30.79	(define @t108 () (not @t9))
30.61/30.79	(define @t109 () (or @t108 @t63 @t107 @t103))
30.61/30.79	(define @t110 () (or (not (forall @t11 @t109)) (= tptp.nil @t1)))
30.61/30.79	(define @t111 () (and @t9 @t62 @t106 @t6))
30.61/30.79	(define @t112 () (forall @t11 (not @t111)))
30.61/30.79	(define @t113 () (not @t112))
30.61/30.79	(define @t114 () (+ @t105 1))
30.61/30.79	(define @t115 () (>= @t7 @t2))
30.61/30.79	(define @t116 () (tptp.inRange 0 tptp.nil))
30.61/30.79	(define @t117 () (not (= tptp.nil @t8)))
30.61/30.79	(define @t118 () (not (tptp.inRange 0 @t5)))
30.61/30.79	(define @t119 () (+ @t7 1))
30.61/30.79	(define @t120 () (+ 0 @t104))
30.61/30.79	(define @t121 () (>= @t120 1))
30.61/30.79	(define @t122 () (not @t121))
30.61/30.79	(define @t123 () (or @t117 @t63 @t122 @t118))
30.61/30.79	(define @t124 () (forall @t11 @t123))
30.61/30.79	(define @t125 () (not @t124))
30.61/30.79	(define @t126 () (or @t125 (= tptp.nil tptp.nil)))
30.61/30.79	(define @t127 () (= @t116 @t126))
30.61/30.79	(define @t128 () (forall @t15 (= @t3 @t110)))
30.61/30.79	(define @t129 () (@list false false))
30.61/30.79	(define @t130 () (tptp.cons 0 @t54))
30.61/30.79	(define @t131 () (tptp.length @t130))
30.61/30.79	(define @t132 () (+ -1 @t131))
30.61/30.79	(define @t133 () (- @t55 @t132))
30.61/30.79	(define @t134 () (+ 1 @t55))
30.61/30.79	(define @t135 () (= @t55 @t132))
30.61/30.79	(define @t136 () (= @t131 @t134))
30.61/30.79	(define @t137 () (>= @t37 5))
30.61/30.79	(define @t138 () (>= @t38 2))
30.61/30.79	(define @t139 () (not @t138))
30.61/30.79	(define @t140 () (>= @t39 2))
30.61/30.79	(define @t141 () (not @t140))
30.61/30.79	(define @t142 () (and @t140 @t138))
30.61/30.79	(define @t143 () (+ 4 1))
30.61/30.79	(define @t144 () (>= @t37 @t143))
30.61/30.79	(define @t145 () (+ 1 1))
30.61/30.79	(define @t146 () (>= @t38 @t145))
30.61/30.79	(define @t147 () (>= @t39 @t145))
30.61/30.79	(define @t148 () (>= @t55 2))
30.61/30.79	(define @t149 () (not @t59))
30.61/30.79	(define @t150 () (not @t49))
30.61/30.79	(define @t151 () (not @t148))
30.61/30.79	(define @t152 () (< @t55 2))
30.61/30.79	(define @t153 () (+ 2 -1 -1 @t79))
30.61/30.79	(define @t154 () (* -1 @t45))
30.61/30.79	(define @t155 () (* -1 @t55))
30.61/30.79	(define @t156 () (+ @t155 @t55 @t61 @t154 @t45 @t23))
30.61/30.79	(define @t157 () (+ @t45 @t155))
30.61/30.79	(define @t158 () (+ @t23 @t154))
30.61/30.79	(define @t159 () (+ @t55 @t158 @t157 @t61))
30.61/30.79	(define @t160 () (>= @t159 @t153))
30.61/30.79	(define @t161 () (= (* 1 (- @t157 -1)) (* 1 @t57)))
30.61/30.79	(define @t162 () (= @t157 -1))
30.61/30.79	(define @t163 () (= @t162 @t59))
30.61/30.79	(define @t164 () (= (* 1 (- @t158 -1)) (* 1 @t47)))
30.61/30.79	(define @t165 () (= @t158 -1))
30.61/30.79	(define @t166 () (= @t165 @t49))
30.61/30.79	(define @t167 () (and @t24 @t59 @t49 @t151))
30.61/30.79	(define @t168 () (tptp.append @t54 @t54))
30.61/30.79	(define @t169 () (tptp.length @t168))
30.61/30.79	(define @t170 () (>= @t169 5))
30.61/30.79	(define @t171 () (or @t151 @t151 @t170))
30.61/30.79	(define @t172 () (tptp.append tptp.nil @t44))
30.61/30.79	(define @t173 () (tptp.length (tptp.cons 0 @t130)))
30.61/30.79	(define @t174 () (+ -1 @t173))
30.61/30.79	(define @t175 () (- @t131 @t174))
30.61/30.79	(define @t176 () (+ 1 @t131))
30.61/30.79	(define @t177 () (= @t131 @t174))
30.61/30.79	(define @t178 () (= @t173 @t176))
30.61/30.79	(define @t179 () (not @t177))
30.61/30.79	(define @t180 () (tptp.append @t172 @t54))
30.61/30.79	(define @t181 () (tptp.cons 0 @t180))
30.61/30.79	(define @t182 () (= (tptp.append (tptp.cons 0 @t172) @t54) @t181))
30.61/30.79	(define @t183 () (not @t182))
30.61/30.79	(define @t184 () (not @t170))
30.61/30.79	(define @t185 () (tptp.append tptp.nil @t54))
30.61/30.79	(define @t186 () (tptp.cons 0 @t185))
30.61/30.79	(define @t187 () (= (tptp.append @t44 @t54) @t186))
30.61/30.79	(define @t188 () (not @t187))
30.61/30.79	(define @t189 () (not @t135))
30.61/30.79	(define @t190 () (= @t54 @t185))
30.61/30.79	(define @t191 () (not @t190))
30.61/30.79	(define @t192 () (= @t44 @t172))
30.61/30.79	(define @t193 () (not @t192))
30.61/30.79	(define @t194 () (= @t169 @t173))
30.61/30.79	(define @t195 () (* -1 @t173))
30.61/30.79	(define @t196 () (+ @t169 @t195))
30.61/30.79	(define @t197 () (= @t196 0))
30.61/30.79	(define @t198 () (* -1 5))
30.61/30.79	(define @t199 () (* -1 -1))
30.61/30.79	(define @t200 () (+ 0 @t199 @t199 1 @t199 @t199 @t198))
30.61/30.79	(define @t201 () (* -1 @t131))
30.61/30.79	(define @t202 () (* -1 @t169))
30.61/30.79	(define @t203 () (* 0 @t23))
30.61/30.79	(define @t204 () (* 0 @t173))
30.61/30.79	(define @t205 () (+ @t202 @t204 @t169 @t131 @t201 @t55 @t155 @t45 @t154 @t203))
30.61/30.79	(define @t206 () (+ @t131 @t195))
30.61/30.79	(define @t207 () (+ @t55 @t201))
30.61/30.79	(define @t208 () (+ @t196 (* -1 @t157) (* -1 @t158) @t23 (* -1 @t207) (* -1 @t206) @t202))
30.61/30.79	(define @t209 () (>= @t208 @t200))
30.61/30.79	(define @t210 () (= @t206 -1))
30.61/30.79	(define @t211 () (= @t207 -1))
30.61/30.79	(define @t212 () (and @t170 @t177 @t135 @t95 @t49 @t59 @t194))
30.61/30.79	(assume @p1 @t16)
30.61/30.79	(assume @p2 (forall @t18 (not (= @t17 tptp.nil))))
30.61/30.79	(assume @p3 @t22)
30.61/30.79	(assume @p4 @t24)
30.61/30.79	(assume @p5 (forall @t28 (=> (not @t27) (= @t26 @t25))))
30.61/30.79	(assume @p6 (forall @t29 (or (= @t1 (tptp.cons (tptp.head @t1) (tptp.tail @t1))) @t4)))
30.61/30.79	(assume @p7 @t31)
30.61/30.79	(assume @p8 (forall @t18 (= (tptp.head @t17) @t7)))
30.61/30.79	(assume @p9 (forall @t28 (=> @t27 (= @t26 (+ @t25 1)))))
30.61/30.79	(assume @p10 (forall @t15 (= (tptp.in @t2 @t1) (> (tptp.count @t2 @t1) 0))))
30.61/30.79	(assume @p11 (forall @t18 (= (tptp.tail @t17) @t1)))
30.61/30.79	(assume @p12 (forall (@list @t7) (= (tptp.count @t7 tptp.nil) 0)))
30.61/30.79	(assume @p13 (forall (@list @t33 @t1) (= (tptp.in @t33 @t1) (or (exists @t21 (and @t32 (= @t33 @t19))) (exists @t21 (and (tptp.in @t33 @t5) @t32))))))
30.61/30.79	(assume @p14 (forall (@list @t36 @t34 @t1) (= (tptp.append (tptp.cons @t36 @t34) @t1) (tptp.cons @t36 @t35))))
30.61/30.79	(assume @p15 (not (not @t43)))
30.61/30.79	(assume @p16 true)
30.61/30.79	(step @p17 :rule arith_poly_norm :args ((= (* 1 (- @t45 @t48)) (* -1 @t47))))
30.61/30.79	(step @p18 :rule arith_poly_norm_rel :premises (@p17) :args ((= @t50 @t49)))
30.61/30.79	(step @p19 :rule refl :args (@t22))
30.61/30.79	(step @p20 :rule cong :premises (@p19 @p18) :args ((=> @t22 @t50)))
30.61/30.79	(assume-push @p522 @t22)
30.61/30.79	(step @p22 :rule instantiate :premises (@p3) :args (@t51))
30.61/30.79	(step-pop @p522 :rule scope :premises (@p22))
30.61/30.79	(step @p23 :rule process_scope :premises (@p522) :args (@t50))
30.61/30.79	(step @p25 :rule eq_resolve :premises (@p23 @p20))
30.61/30.79	(step @p26 :rule implies_elim :premises (@p25))
30.61/30.79	(step @p27 :rule chain_resolution :premises (@p26 @p3) :args (@t52 @t53))
30.61/30.79	(step @p28 :rule arith_poly_norm :args ((= (* 1 (- @t55 @t58)) (* -1 @t57))))
30.61/30.79	(step @p29 :rule arith_poly_norm_rel :premises (@p28) :args ((= @t60 @t59)))
30.61/30.79	(step @p30 :rule cong :premises (@p19 @p29) :args ((=> @t22 @t60)))
30.61/30.79	(assume-push @p524 @t22)
30.61/30.79	(step @p32 :rule instantiate :premises (@p3) :args ((@list 0 @t44)))
30.61/30.79	(step-pop @p524 :rule scope :premises (@p32))
30.61/30.79	(step @p33 :rule process_scope :premises (@p524) :args (@t60))
30.61/30.79	(step @p35 :rule eq_resolve :premises (@p33 @p30))
30.61/30.79	(step @p36 :rule implies_elim :premises (@p35))
30.61/30.79	(step @p37 :rule chain_resolution :premises (@p36 @p3) :args (@t52 @t53))
30.61/30.79	(step @p38 :rule eq-symm :args (@t30 @t1))
30.61/30.79	(step @p39 :rule cong :premises (@p38) :args (@t31))
30.61/30.79	(step @p40 :rule eq_resolve :premises (@p7 @p39))
30.61/30.79	(step @p41 :rule instantiate :premises (@p40) :args ((@list @t44)))
30.61/30.79	(step @p42 :rule instantiate :premises (@p40) :args ((@list @t54)))
30.61/30.79	(step @p43 :rule bool-double-not-elim :args (@t66))
30.61/30.79	(step @p44 :rule refl :args (@t73))
30.61/30.79	(step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t73 (not @t71))))
30.61/30.79	(step @p46 :rule cnf_or_neg :args (@t73 1))
30.61/30.79	(step @p47 :rule eq_resolve :premises (@p46 @p45))
30.61/30.79	(step @p48 :rule reordering :premises (@p47) :args ((or @t66 @t73)))
30.61/30.79	(step @p49 :rule cnf_or_neg :args (@t73 2))
30.61/30.79	(step @p50 :rule bool-double-not-elim :args (@t70))
30.61/30.79	(step @p51 :rule refl :args (@t71))
30.61/30.79	(step @p52 :rule refl :args (@t74))
30.61/30.79	(step @p53 :rule nary_cong :premises (@p52 @p51 @p50) :args ((or @t74 @t71 (not @t75))))
30.61/30.79	(assume-push @p526 @t66)
30.61/30.79	(assume-push @p527 @t24)
30.61/30.79	(assume-push @p528 @t75)
30.61/30.79	(step @p57 :rule arith-elim-lt :args (@t69 0))
30.61/30.79	(step @p58 :rule cong :premises (@p57) :args ((not @t76)))
30.61/30.79	(step @p59 :rule trans :premises (@p58 @p50))
30.61/30.79	(step @p60 :rule symm :premises (@p59))
30.61/30.79	(assume-push @p529 @t76)
30.61/30.79	(step @p62 :rule evaluate :args (@t77))
30.61/30.79	(step @p63 :rule evaluate :args (@t78))
30.61/30.79	(step @p64 :rule evaluate :args ((+ 0 0 0)))
30.61/30.79	(step @p65 :rule evaluate :args (@t79))
30.61/30.79	(step @p66 :rule refl :args (0))
30.61/30.79	(step @p67 :rule nary_cong :premises (@p66 @p66 @p65) :args (@t80))
30.61/30.79	(step @p68 :rule trans :premises (@p67 @p64))
30.61/30.79	(step @p69 :rule arith_poly_norm :args ((= @t82 0)))
30.61/30.79	(step @p70 :rule arith_poly_norm :args ((= @t83 @t82)))
30.61/30.79	(step @p71 :rule trans :premises (@p70 @p69))
30.61/30.79	(step @p72 :rule cong :premises (@p71 @p68) :args (@t84))
30.61/30.79	(step @p73 :rule trans :premises (@p72 @p63))
30.61/30.79	(step @p74 :rule cong :premises (@p73) :args ((not @t84)))
30.61/30.79	(step @p75 :rule trans :premises (@p74 @p62))
30.61/30.79	(step @p76 :rule arith-elim-lt :args (@t83 @t80))
30.61/30.79	(step @p77 :rule trans :premises (@p76 @p75))
30.61/30.79	(step @p78 :rule arith_mult_neg :args (-1 @t66))
30.61/30.79	(step @p79 :rule evaluate :args (@t85))
30.61/30.79	(step @p80 :rule true_elim :premises (@p79))
30.61/30.79	(step @p81 :rule and_intro :premises (@p80 @p526))
30.61/30.79	(step @p82 :rule modus_ponens :premises (@p81 @p78))
30.61/30.79	(step @p83 :rule arith_sum_ub :premises (@p529 @p4 @p82))
30.61/30.79	(step @p84 false :rule eq_resolve :premises (@p83 @p77))
30.61/30.79	(step-pop @p529 :rule scope :premises (@p84))
30.61/30.79	(step @p85 :rule process_scope :premises (@p529) :args (false))
30.61/30.79	(step @p87 :rule eq_resolve :premises (@p85 @p59))
30.61/30.79	(step @p88 :rule eq_resolve :premises (@p87 @p60))
30.61/30.79	(step @p89 :rule symm :premises (@p57))
30.61/30.79	(step @p90 :rule eq_resolve :premises (@p528 @p89))
30.61/30.79	(step @p91 false :rule contra :premises (@p90 @p88))
30.61/30.79	(step-pop @p530 :rule scope :premises (@p91))
30.61/30.79	(step-pop @p531 :rule scope :premises (@p530))
30.61/30.79	(step-pop @p532 :rule scope :premises (@p531))
30.61/30.79	(step @p92 :rule process_scope :premises (@p532) :args (false))
30.61/30.79	(assume-push @p534 @t24)
30.61/30.79	(assume-push @p535 @t66)
30.61/30.79	(assume-push @p536 @t75)
30.61/30.79	(step @p99 :rule and_intro :premises (@p535 @p4 @p536))
30.61/30.79	(step-pop @p536 :rule scope :premises (@p99))
30.61/30.79	(step-pop @p537 :rule scope :premises (@p536))
30.61/30.79	(step-pop @p538 :rule scope :premises (@p537))
30.61/30.79	(step @p100 :rule process_scope :premises (@p538) :args (@t86))
30.61/30.79	(step @p104 :rule implies_elim :premises (@p100))
30.61/30.79	(step @p105 :rule resolution :premises (@p104 @p92) :args (true @t86))
30.61/30.79	(step @p106 :rule not_and :premises (@p105))
30.61/30.79	(step @p107 :rule eq_resolve :premises (@p106 @p53))
30.61/30.79	(step @p108 :rule chain_resolution :premises (@p107 @p4 @p49 @p48) :args ((@list false true false) (@list @t24 @t70 @t66)))
30.61/30.79	(step @p109 :rule factoring :premises (@p108))
30.61/30.79	(step @p110 :rule refl :args (@t87))
30.61/30.79	(step @p111 :rule bool-double-not-elim :args (@t64))
30.61/30.79	(step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or (not @t88) @t87)))
30.61/30.79	(step @p113 :rule refl :args (@t68))
30.61/30.79	(step @p114 :rule refl :args (@t70))
30.61/30.79	(step @p115 :rule eq-symm :args (@t72 @t44))
30.61/30.79	(step @p116 :rule cong :premises (@p115) :args (@t89))
30.61/30.79	(step @p117 :rule nary_cong :premises (@p116 @p51 @p114 @p113) :args (@t90))
30.61/30.79	(step @p118 :rule cong :premises (@p117) :args (@t91))
30.61/30.79	(step @p119 :rule refl :args (@t88))
30.61/30.79	(step @p120 :rule cong :premises (@p119 @p118) :args ((=> @t88 @t91)))
30.61/30.79	(assume-push @p540 @t88)
30.61/30.79	(step @p122 :rule skolemize :premises (@p540))
30.61/30.79	(step-pop @p540 :rule scope :premises (@p122))
30.61/30.79	(step @p123 :rule process_scope :premises (@p540) :args (@t91))
30.61/30.79	(step @p125 :rule eq_resolve :premises (@p123 @p120))
30.61/30.79	(step @p126 :rule implies_elim :premises (@p125))
30.61/30.79	(step @p127 :rule eq_resolve :premises (@p126 @p112))
30.61/30.79	(step @p128 :rule chain_resolution :premises (@p127 @p109) :args (@t52 (@list @t73)))
30.61/30.79	(step @p129 :rule aci_norm :args ((= (or false false @t95 @t93) @t96)))
30.61/30.79	(step @p130 :rule refl :args (@t93))
30.61/30.79	(step @p131 :rule arith_poly_norm :args ((= (* -1 (- 1 @t97)) (* -1 (- @t61 0)))))
30.61/30.79	(step @p132 :rule arith_poly_norm_rel :premises (@p131) :args ((= (>= 1 @t97) (>= @t61 0))))
30.61/30.79	(step @p133 :rule arith-geq-tighten :args (@t23 1))
30.61/30.79	(step @p134 :rule trans :premises (@p133 @p132))
30.61/30.79	(step @p135 :rule symm :premises (@p134))
30.61/30.79	(step @p66 :rule refl :args (0))
30.61/30.79	(step @p136 :rule arith_poly_norm :args ((= @t98 @t61)))
30.61/30.79	(step @p137 :rule cong :premises (@p136 @p66) :args (@t99))
30.61/30.79	(step @p138 :rule trans :premises (@p137 @p135))
30.61/30.79	(step @p62 :rule evaluate :args (@t77))
30.61/30.79	(step @p63 :rule evaluate :args (@t78))
30.61/30.79	(step @p139 :rule cong :premises (@p63) :args (@t100))
30.61/30.79	(step @p140 :rule trans :premises (@p139 @p62))
30.61/30.79	(step @p141 :rule eq-refl :args (@t44))
30.61/30.79	(step @p142 :rule cong :premises (@p141) :args (@t101))
30.61/30.79	(step @p143 :rule trans :premises (@p142 @p62))
30.61/30.79	(step @p144 :rule nary_cong :premises (@p143 @p140 @p138 @p130) :args (@t102))
30.61/30.79	(step @p145 :rule trans :premises (@p144 @p129))
30.61/30.79	(step @p146 :rule refl :args (@t64))
30.61/30.79	(step @p147 :rule cong :premises (@p146 @p145) :args ((=> @t64 @t102)))
30.61/30.79	(assume-push @p542 @t64)
30.61/30.79	(step @p149 :rule instantiate :premises (@p542) :args (@t51))
30.61/30.79	(step-pop @p542 :rule scope :premises (@p149))
30.61/30.79	(step @p150 :rule process_scope :premises (@p542) :args (@t102))
30.61/30.79	(step @p152 :rule eq_resolve :premises (@p150 @p147))
30.61/30.79	(step @p153 :rule implies_elim :premises (@p152))
30.61/30.79	(step @p154 :rule chain_resolution :premises (@p153 @p128) :args (@t52 (@list @t64)))
30.61/30.79	(step @p155 :rule eq-symm :args (@t110 @t3))
30.61/30.79	(step @p156 :rule refl :args (@t3))
30.61/30.79	(step @p157 :rule eq-symm :args (@t1 tptp.nil))
30.61/30.79	(step @p158 :rule aci_norm :args ((= (or @t108 (or @t63 (or @t107 @t103))) @t109)))
30.61/30.79	(step @p159 :rule bool-and-de-morgan :args (@t106 @t6 true))
30.61/30.79	(step @p160 :rule refl :args (@t63))
30.61/30.79	(step @p161 :rule nary_cong :premises (@p160 @p159) :args ((or @t63 (not (and @t106 @t6)))))
30.61/30.79	(step @p162 :rule bool-and-de-morgan :args (@t62 @t106 (and @t6)))
30.61/30.79	(step @p163 :rule trans :premises (@p162 @p161))
30.61/30.79	(step @p164 :rule refl :args (@t108))
30.61/30.79	(step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or @t108 (not (and @t62 @t106 @t6)))))
30.61/30.79	(step @p166 :rule bool-and-de-morgan :args (@t9 @t62 (and @t106 @t6)))
30.61/30.79	(step @p167 :rule trans :premises (@p166 @p165))
30.61/30.79	(step @p168 :rule trans :premises (@p167 @p158))
30.61/30.79	(step @p169 :rule cong :premises (@p168) :args (@t112))
30.61/30.79	(step @p170 :rule cong :premises (@p169) :args (@t113))
30.61/30.79	(step @p171 :rule exists-elim :args ((= (exists @t11 @t111) @t113)))
30.61/30.79	(step @p172 :rule trans :premises (@p171 @p170))
30.61/30.79	(step @p173 :rule refl :args (@t6))
30.61/30.79	(step @p174 :rule bool-double-not-elim :args (@t106))
30.61/30.79	(step @p175 :rule arith_poly_norm :args ((= (* -1 (- 1 @t114)) (* -1 (- @t7 @t2)))))
30.61/30.79	(step @p176 :rule arith_poly_norm_rel :premises (@p175) :args ((= (>= 1 @t114) @t115)))
30.61/30.79	(step @p177 :rule arith-geq-tighten :args (@t105 1))
30.61/30.79	(step @p178 :rule trans :premises (@p177 @p176))
30.61/30.79	(step @p179 :rule symm :premises (@p178))
30.61/30.79	(step @p180 :rule cong :premises (@p179) :args ((not @t115)))
30.61/30.79	(step @p181 :rule trans :premises (@p180 @p174))
30.61/30.79	(step @p182 :rule arith-elim-lt :args (@t7 @t2))
30.61/30.79	(step @p183 :rule trans :premises (@p182 @p181))
30.61/30.79	(step @p184 :rule arith-elim-leq :args (0 @t7))
30.61/30.79	(step @p185 :rule refl :args (@t9))
30.61/30.79	(step @p186 :rule nary_cong :premises (@p185 @p184 @p183 @p173) :args (@t10))
30.61/30.79	(step @p187 :rule cong :premises (@p186) :args (@t12))
30.61/30.79	(step @p188 :rule trans :premises (@p187 @p172))
30.61/30.79	(step @p189 :rule nary_cong :premises (@p188 @p157) :args (@t13))
30.61/30.79	(step @p190 :rule cong :premises (@p189 @p156) :args (@t14))
30.61/30.79	(step @p191 :rule trans :premises (@p190 @p155))
30.61/30.79	(step @p192 :rule cong :premises (@p191) :args (@t16))
30.61/30.79	(step @p193 :rule eq_resolve :premises (@p1 @p192))
30.61/30.79	(step @p194 :rule bool-eq-true :args (@t116))
30.61/30.79	(step @p195 :rule evaluate :args ((or false true)))
30.61/30.79	(step @p196 :rule eq-refl :args (tptp.nil))
30.61/30.79	(step @p197 :rule quant-unused-vars :args ((= (forall @t11 true) true)))
30.61/30.79	(step @p198 :rule bool-or-taut2 :args ((or @t117) @t62 false (or @t118)))
30.61/30.79	(step @p199 :rule cong :premises (@p198) :args ((forall @t11 (or @t117 @t63 @t62 @t118))))
30.61/30.79	(step @p200 :rule trans :premises (@p199 @p197))
30.61/30.79	(step @p201 :rule refl :args (@t118))
30.61/30.79	(step @p202 :rule bool-double-not-elim :args (@t62))
30.61/30.79	(step @p203 :rule arith_poly_norm :args ((= (* -1 (- 0 @t119)) (* -1 (- @t104 1)))))
30.61/30.79	(step @p204 :rule arith_poly_norm_rel :premises (@p203) :args ((= (>= 0 @t119) (>= @t104 1))))
30.61/30.79	(step @p205 :rule arith-geq-tighten :args (@t7 0))
30.61/30.79	(step @p206 :rule trans :premises (@p205 @p204))
30.61/30.79	(step @p207 :rule symm :premises (@p206))
30.61/30.79	(step @p208 :rule refl :args (1))
30.61/30.79	(step @p209 :rule arith_poly_norm :args ((= @t120 @t104)))
30.61/30.79	(step @p210 :rule cong :premises (@p209 @p208) :args (@t121))
30.61/30.79	(step @p211 :rule trans :premises (@p210 @p207))
30.61/30.79	(step @p212 :rule cong :premises (@p211) :args (@t122))
30.61/30.79	(step @p213 :rule trans :premises (@p212 @p202))
30.61/30.79	(step @p214 :rule refl :args (@t63))
30.61/30.79	(step @p215 :rule refl :args (@t117))
30.61/30.79	(step @p216 :rule nary_cong :premises (@p215 @p214 @p213 @p201) :args (@t123))
30.61/30.79	(step @p217 :rule cong :premises (@p216) :args (@t124))
30.61/30.79	(step @p218 :rule trans :premises (@p217 @p200))
30.61/30.79	(step @p219 :rule cong :premises (@p218) :args (@t125))
30.61/30.79	(step @p220 :rule trans :premises (@p219 @p62))
30.61/30.79	(step @p221 :rule nary_cong :premises (@p220 @p196) :args (@t126))
30.61/30.79	(step @p222 :rule trans :premises (@p221 @p195))
30.61/30.79	(step @p223 :rule refl :args (@t116))
30.61/30.79	(step @p224 :rule cong :premises (@p223 @p222) :args (@t127))
30.61/30.79	(step @p225 :rule trans :premises (@p224 @p194))
30.61/30.79	(step @p226 :rule refl :args (@t128))
30.61/30.79	(step @p227 :rule cong :premises (@p226 @p225) :args ((=> @t128 @t127)))
30.61/30.79	(assume-push @p544 @t128)
30.61/30.79	(step @p229 :rule instantiate :premises (@p193) :args (@t51))
30.61/30.79	(step-pop @p544 :rule scope :premises (@p229))
30.61/30.79	(step @p230 :rule process_scope :premises (@p544) :args (@t127))
30.61/30.79	(step @p232 :rule eq_resolve :premises (@p230 @p227))
30.61/30.79	(step @p233 :rule implies_elim :premises (@p232))
30.61/30.79	(step @p234 :rule chain_resolution :premises (@p233 @p193) :args (@t52 (@list @t128)))
30.61/30.79	(step @p235 :rule true_intro :premises (@p234))
30.61/30.79	(step @p236 :rule refl :args (tptp.nil))
30.61/30.79	(step @p237 :rule cong :premises (@p4 @p236) :args (@t92))
30.61/30.79	(step @p238 :rule trans :premises (@p237 @p235))
30.61/30.79	(step @p239 :rule true_elim :premises (@p238))
30.61/30.79	(step @p240 :rule cnf_or_pos :args (@t96))
30.61/30.79	(step @p241 :rule reordering :premises (@p240) :args ((or @t93 @t95 (not @t96))))
30.61/30.79	(step @p242 :rule chain_resolution :premises (@p241 @p239 @p154) :args (@t129 (@list @t92 @t96)))
30.61/30.79	(step @p243 :rule arith_poly_norm :args ((= (* 1 (- @t131 @t134)) (* -1 @t133))))
30.61/30.79	(step @p244 :rule arith_poly_norm_rel :premises (@p243) :args ((= @t136 @t135)))
30.61/30.79	(step @p245 :rule cong :premises (@p19 @p244) :args ((=> @t22 @t136)))
30.61/30.79	(assume-push @p546 @t22)
30.61/30.79	(step @p247 :rule instantiate :premises (@p3) :args ((@list 0 @t54)))
30.61/30.79	(step-pop @p546 :rule scope :premises (@p247))
30.61/30.79	(step @p248 :rule process_scope :premises (@p546) :args (@t136))
30.61/30.79	(step @p250 :rule eq_resolve :premises (@p248 @p245))
30.61/30.79	(step @p251 :rule implies_elim :premises (@p250))
30.61/30.79	(step @p252 :rule chain_resolution :premises (@p251 @p3) :args (@t52 @t53))
30.61/30.79	(step @p253 :rule instantiate :premises (@p14) :args ((@list 0 tptp.nil @t54)))
30.61/30.79	(step @p254 :rule aci_norm :args ((= (or (or @t141 @t139) @t137) (or @t141 @t139 @t137))))
30.61/30.79	(step @p255 :rule refl :args (@t137))
30.61/30.79	(step @p256 :rule bool-and-de-morgan :args (@t140 @t138 true))
30.61/30.79	(step @p257 :rule nary_cong :premises (@p256 @p255) :args ((or (not @t142) @t137)))
30.61/30.79	(step @p258 :rule trans :premises (@p257 @p254))
30.61/30.79	(step @p259 :rule bool-impl-elim :args (@t142 @t137))
30.61/30.79	(step @p260 :rule trans :premises (@p259 @p258))
30.61/30.79	(step @p261 :rule cong :premises (@p260) :args ((forall @t42 (=> @t142 @t137))))
30.61/30.79	(step @p262 :rule bool-double-not-elim :args (@t137))
30.61/30.79	(step @p263 :rule evaluate :args (@t143))
30.61/30.79	(step @p264 :rule refl :args (@t37))
30.61/30.79	(step @p265 :rule cong :premises (@p264 @p263) :args (@t144))
30.61/30.79	(step @p266 :rule cong :premises (@p265) :args ((not @t144)))
30.61/30.79	(step @p267 :rule arith-leq-norm :args (@t37 4))
30.61/30.79	(step @p268 :rule trans :premises (@p267 @p266))
30.61/30.79	(step @p269 :rule cong :premises (@p268) :args ((not (<= @t37 4))))
30.61/30.79	(step @p270 :rule trans :premises (@p269 @p262))
30.61/30.79	(step @p271 :rule arith-elim-leq :args (@t37 4))
30.61/30.79	(step @p272 :rule symm :premises (@p271))
30.61/30.79	(step @p273 :rule cong :premises (@p272) :args ((not (>= 4 @t37))))
30.61/30.79	(step @p274 :rule arith-elim-gt :args (@t37 4))
30.61/30.79	(step @p275 :rule trans :premises (@p274 @p273))
30.61/30.79	(step @p276 :rule trans :premises (@p275 @p270))
30.61/30.79	(step @p277 :rule bool-double-not-elim :args (@t138))
30.61/30.79	(step @p278 :rule evaluate :args (@t145))
30.61/30.79	(step @p279 :rule refl :args (@t38))
30.61/30.79	(step @p280 :rule cong :premises (@p279 @p278) :args (@t146))
30.61/30.79	(step @p281 :rule cong :premises (@p280) :args ((not @t146)))
30.61/30.79	(step @p282 :rule arith-leq-norm :args (@t38 1))
30.61/30.79	(step @p283 :rule trans :premises (@p282 @p281))
30.61/30.79	(step @p284 :rule cong :premises (@p283) :args ((not (<= @t38 1))))
30.61/30.79	(step @p285 :rule trans :premises (@p284 @p277))
30.61/30.79	(step @p286 :rule arith-elim-leq :args (@t38 1))
30.61/30.79	(step @p287 :rule symm :premises (@p286))
30.61/30.79	(step @p288 :rule cong :premises (@p287) :args ((not (>= 1 @t38))))
30.61/30.79	(step @p289 :rule arith-elim-gt :args (@t38 1))
30.61/30.79	(step @p290 :rule trans :premises (@p289 @p288))
30.61/30.79	(step @p291 :rule trans :premises (@p290 @p285))
30.61/30.79	(step @p292 :rule bool-double-not-elim :args (@t140))
30.61/30.79	(step @p293 :rule refl :args (@t39))
30.61/30.79	(step @p294 :rule cong :premises (@p293 @p278) :args (@t147))
30.61/30.79	(step @p295 :rule cong :premises (@p294) :args ((not @t147)))
30.61/30.79	(step @p296 :rule arith-leq-norm :args (@t39 1))
30.61/30.79	(step @p297 :rule trans :premises (@p296 @p295))
30.61/30.79	(step @p298 :rule cong :premises (@p297) :args ((not (<= @t39 1))))
30.61/30.79	(step @p299 :rule trans :premises (@p298 @p292))
30.61/30.79	(step @p300 :rule arith-elim-leq :args (@t39 1))
30.61/30.79	(step @p301 :rule symm :premises (@p300))
30.61/30.79	(step @p302 :rule cong :premises (@p301) :args ((not (>= 1 @t39))))
30.61/30.79	(step @p303 :rule arith-elim-gt :args (@t39 1))
30.61/30.79	(step @p304 :rule trans :premises (@p303 @p302))
30.61/30.79	(step @p305 :rule trans :premises (@p304 @p299))
30.61/30.79	(step @p306 :rule nary_cong :premises (@p305 @p291) :args (@t40))
30.61/30.79	(step @p307 :rule cong :premises (@p306 @p276) :args (@t41))
30.61/30.79	(step @p308 :rule cong :premises (@p307) :args (@t43))
30.61/30.79	(step @p309 :rule trans :premises (@p308 @p261))
30.61/30.79	(step @p310 :rule bool-double-not-elim :args (@t43))
30.61/30.79	(step @p311 :rule trans :premises (@p310 @p309))
30.61/30.79	(step @p312 :rule eq_resolve :premises (@p15 @p311))
30.61/30.79	(step @p313 :rule instantiate :premises (@p312) :args ((@list @t54 @t54)))
30.61/30.79	(step @p314 :rule bool-double-not-elim :args (@t148))
30.61/30.79	(step @p315 :rule refl :args (@t149))
30.61/30.79	(step @p316 :rule refl :args (@t150))
30.61/30.79	(step @p317 :rule nary_cong :premises (@p52 @p316 @p315 @p314) :args ((or @t74 @t150 @t149 (not @t151))))
30.61/30.79	(assume-push @p548 @t24)
30.61/30.79	(assume-push @p549 @t59)
30.61/30.79	(assume-push @p550 @t49)
30.61/30.79	(assume-push @p551 @t151)
30.61/30.79	(step @p322 :rule arith-elim-lt :args (@t55 2))
30.61/30.79	(step @p323 :rule cong :premises (@p322) :args ((not @t152)))
30.61/30.79	(step @p324 :rule trans :premises (@p323 @p314))
30.61/30.79	(step @p325 :rule symm :premises (@p324))
30.61/30.79	(assume-push @p552 @t152)
30.61/30.79	(step @p327 :rule evaluate :args ((+ 2 -1 -1 0)))
30.61/30.79	(step @p65 :rule evaluate :args (@t79))
30.61/30.79	(step @p328 :rule refl :args (-1))
30.61/30.79	(step @p329 :rule refl :args (2))
30.61/30.79	(step @p330 :rule nary_cong :premises (@p329 @p328 @p328 @p65) :args (@t153))
30.61/30.79	(step @p331 :rule trans :premises (@p330 @p327))
30.61/30.79	(step @p332 :rule arith_poly_norm :args ((= @t156 0)))
30.61/30.79	(step @p333 :rule arith_poly_norm :args ((= @t159 @t156)))
30.61/30.79	(step @p334 :rule trans :premises (@p333 @p332))
30.61/30.79	(step @p335 :rule cong :premises (@p334 @p331) :args (@t160))
30.61/30.79	(step @p336 :rule trans :premises (@p335 @p63))
30.61/30.79	(step @p337 :rule cong :premises (@p336) :args ((not @t160)))
30.61/30.79	(step @p338 :rule trans :premises (@p337 @p62))
30.61/30.79	(step @p339 :rule arith-elim-lt :args (@t159 @t153))
30.61/30.79	(step @p340 :rule trans :premises (@p339 @p338))
30.61/30.79	(step @p341 :rule arith_mult_neg :args (-1 @t24))
30.61/30.79	(step @p79 :rule evaluate :args (@t85))
30.61/30.79	(step @p80 :rule true_elim :premises (@p79))
30.61/30.79	(step @p342 :rule and_intro :premises (@p80 @p4))
30.61/30.79	(step @p343 :rule modus_ponens :premises (@p342 @p341))
30.61/30.79	(step @p344 :rule arith_poly_norm :args (@t161))
30.61/30.79	(step @p345 :rule arith_poly_norm_rel :premises (@p344) :args (@t163))
30.61/30.79	(step @p346 :rule symm :premises (@p345))
30.61/30.79	(step @p347 :rule eq_resolve :premises (@p37 @p346))
30.61/30.79	(step @p348 :rule arith_poly_norm :args (@t164))
30.61/30.79	(step @p349 :rule arith_poly_norm_rel :premises (@p348) :args (@t166))
30.61/30.79	(step @p350 :rule symm :premises (@p349))
30.61/30.79	(step @p351 :rule eq_resolve :premises (@p27 @p350))
30.61/30.79	(step @p352 :rule arith_sum_ub :premises (@p552 @p351 @p347 @p343))
30.61/30.79	(step @p353 false :rule eq_resolve :premises (@p352 @p340))
30.61/30.79	(step-pop @p552 :rule scope :premises (@p353))
30.61/30.79	(step @p354 :rule process_scope :premises (@p552) :args (false))
30.61/30.79	(step @p356 :rule eq_resolve :premises (@p354 @p324))
30.61/30.79	(step @p357 :rule eq_resolve :premises (@p356 @p325))
30.61/30.79	(step @p358 :rule symm :premises (@p322))
30.61/30.79	(step @p359 :rule eq_resolve :premises (@p551 @p358))
30.61/30.79	(step @p360 false :rule contra :premises (@p359 @p357))
30.61/30.79	(step-pop @p553 :rule scope :premises (@p360))
30.61/30.79	(step-pop @p554 :rule scope :premises (@p553))
30.61/30.79	(step-pop @p555 :rule scope :premises (@p554))
30.61/30.79	(step-pop @p556 :rule scope :premises (@p555))
30.61/30.79	(step @p361 :rule process_scope :premises (@p556) :args (false))
30.61/30.79	(assume-push @p558 @t24)
30.61/30.79	(assume-push @p559 @t49)
30.61/30.79	(assume-push @p560 @t59)
30.61/30.79	(assume-push @p561 @t151)
30.61/30.79	(step @p370 :rule and_intro :premises (@p4 @p37 @p27 @p561))
30.61/30.79	(step-pop @p561 :rule scope :premises (@p370))
30.61/30.79	(step-pop @p562 :rule scope :premises (@p561))
30.61/30.79	(step-pop @p563 :rule scope :premises (@p562))
30.61/30.79	(step-pop @p564 :rule scope :premises (@p563))
30.61/30.79	(step @p371 :rule process_scope :premises (@p564) :args (@t167))
30.61/30.79	(step @p376 :rule implies_elim :premises (@p371))
30.61/30.79	(step @p377 :rule resolution :premises (@p376 @p361) :args (true @t167))
30.61/30.79	(step @p378 :rule not_and :premises (@p377))
30.61/30.79	(step @p379 :rule eq_resolve :premises (@p378 @p317))
30.61/30.79	(step @p380 :rule chain_resolution :premises (@p379 @p4 @p27 @p37) :args ((@list false false false) (@list @t24 @t49 @t59)))
30.61/30.79	(step @p381 :rule cnf_or_pos :args (@t171))
30.61/30.79	(step @p382 :rule factoring :premises (@p381))
30.61/30.79	(step @p383 :rule reordering :premises (@p382) :args ((or @t151 @t170 (not @t171))))
30.61/30.79	(step @p384 :rule chain_resolution :premises (@p383 @p380 @p313) :args (@t129 (@list @t148 @t171)))
30.61/30.79	(step @p385 :rule instantiate :premises (@p14) :args ((@list 0 @t172 @t54)))
30.61/30.79	(step @p386 :rule arith_poly_norm :args ((= (* 1 (- @t173 @t176)) (* -1 @t175))))
30.61/30.79	(step @p387 :rule arith_poly_norm_rel :premises (@p386) :args ((= @t178 @t177)))
30.61/30.79	(step @p388 :rule cong :premises (@p19 @p387) :args ((=> @t22 @t178)))
30.61/30.79	(assume-push @p566 @t22)
30.61/30.79	(step @p390 :rule instantiate :premises (@p3) :args ((@list 0 @t130)))
30.61/30.79	(step-pop @p566 :rule scope :premises (@p390))
30.61/30.79	(step @p391 :rule process_scope :premises (@p566) :args (@t178))
30.61/30.79	(step @p393 :rule eq_resolve :premises (@p391 @p388))
30.61/30.79	(step @p394 :rule implies_elim :premises (@p393))
30.61/30.79	(step @p395 :rule chain_resolution :premises (@p394 @p3) :args (@t52 @t53))
30.61/30.79	(step @p396 :rule refl :args (@t179))
30.61/30.79	(step @p397 :rule refl :args (@t183))
30.61/30.79	(step @p398 :rule refl :args (@t184))
30.61/30.79	(step @p399 :rule refl :args (@t188))
30.61/30.79	(step @p400 :rule refl :args (@t189))
30.61/30.79	(step @p401 :rule bool-double-not-elim :args (@t94))
30.61/30.79	(step @p402 :rule refl :args (@t191))
30.61/30.79	(step @p403 :rule refl :args (@t193))
30.61/30.79	(step @p404 :rule nary_cong :premises (@p316 @p315 @p403 @p402 @p401 @p400 @p399 @p398 @p397 @p396) :args ((or @t150 @t149 @t193 @t191 (not @t95) @t189 @t188 @t184 @t183 @t179)))
30.61/30.79	(assume-push @p568 @t170)
30.61/30.79	(assume-push @p569 @t177)
30.61/30.79	(assume-push @p570 @t135)
30.61/30.79	(assume-push @p571 @t95)
30.61/30.79	(assume-push @p572 @t49)
30.61/30.79	(assume-push @p573 @t59)
30.61/30.79	(assume-push @p574 @t194)
30.61/30.79	(assume-push @p575 @t197)
30.61/30.79	(step @p413 :rule evaluate :args ((+ 0 1 1 1 1 1 -5)))
30.61/30.79	(step @p414 :rule evaluate :args (@t198))
30.61/30.79	(step @p415 :rule evaluate :args (@t199))
30.61/30.79	(step @p416 :rule nary_cong :premises (@p66 @p415 @p415 @p208 @p415 @p415 @p414) :args (@t200))
30.61/30.79	(step @p417 :rule trans :premises (@p416 @p413))
30.61/30.79	(step @p418 :rule arith_poly_norm :args ((= (+ @t202 0 @t169 @t131 @t201 @t55 @t155 @t45 @t154 0) 0)))
30.61/30.79	(step @p419 :rule arith_poly_norm :args ((= @t203 0)))
30.61/30.79	(step @p420 :rule refl :args (@t154))
30.61/30.79	(step @p421 :rule refl :args (@t45))
30.61/30.79	(step @p422 :rule refl :args (@t155))
30.61/30.79	(step @p423 :rule refl :args (@t55))
30.61/30.79	(step @p424 :rule refl :args (@t201))
30.61/30.79	(step @p425 :rule refl :args (@t131))
30.61/30.79	(step @p426 :rule refl :args (@t169))
30.61/30.79	(step @p427 :rule arith_poly_norm :args ((= @t204 0)))
30.61/30.79	(step @p428 :rule refl :args (@t202))
30.61/30.79	(step @p429 :rule nary_cong :premises (@p428 @p427 @p426 @p425 @p424 @p423 @p422 @p421 @p420 @p419) :args (@t205))
30.61/30.79	(step @p430 :rule trans :premises (@p429 @p418))
30.61/30.79	(step @p431 :rule arith_poly_norm :args ((= @t208 @t205)))
30.61/30.79	(step @p432 :rule trans :premises (@p431 @p430))
30.61/30.79	(step @p433 :rule cong :premises (@p432 @p417) :args (@t209))
30.61/30.79	(step @p434 :rule trans :premises (@p433 @p63))
30.61/30.79	(step @p435 :rule cong :premises (@p434) :args ((not @t209)))
30.61/30.79	(step @p436 :rule trans :premises (@p435 @p62))
30.61/30.79	(step @p437 :rule arith-elim-lt :args (@t208 @t200))
30.61/30.79	(step @p438 :rule trans :premises (@p437 @p436))
30.61/30.79	(step @p439 :rule arith_mult_neg :args (-1 @t170))
30.61/30.79	(step @p79 :rule evaluate :args (@t85))
30.61/30.79	(step @p80 :rule true_elim :premises (@p79))
30.61/30.79	(step @p440 :rule and_intro :premises (@p80 @p568))
30.61/30.79	(step @p441 :rule modus_ponens :premises (@p440 @p439))
30.61/30.79	(step @p442 :rule arith_mult_neg :args (-1 @t210))
30.61/30.79	(step @p443 :rule arith_poly_norm :args ((= (* 1 (- @t206 -1)) (* 1 @t175))))
30.61/30.79	(step @p444 :rule arith_poly_norm_rel :premises (@p443) :args ((= @t210 @t177)))
30.61/30.79	(step @p445 :rule symm :premises (@p444))
30.61/30.79	(step @p446 :rule eq_resolve :premises (@p395 @p445))
30.61/30.79	(step @p447 :rule and_intro :premises (@p80 @p446))
30.61/30.79	(step @p448 :rule modus_ponens :premises (@p447 @p442))
30.61/30.79	(step @p449 :rule arith_mult_neg :args (-1 @t211))
30.61/30.79	(step @p450 :rule arith_poly_norm :args ((= (* 1 (- @t207 -1)) (* 1 @t133))))
30.61/30.79	(step @p451 :rule arith_poly_norm_rel :premises (@p450) :args ((= @t211 @t135)))
30.61/30.79	(step @p452 :rule symm :premises (@p451))
30.61/30.79	(step @p453 :rule eq_resolve :premises (@p252 @p452))
30.61/30.79	(step @p454 :rule and_intro :premises (@p80 @p453))
30.61/30.79	(step @p455 :rule modus_ponens :premises (@p454 @p449))
30.61/30.79	(step @p456 :rule arith-elim-lt :args (@t23 1))
30.61/30.79	(step @p457 :rule symm :premises (@p456))
30.61/30.79	(step @p458 :rule eq_resolve :premises (@p571 @p457))
30.61/30.79	(step @p459 :rule arith_mult_neg :args (-1 @t165))
30.61/30.79	(step @p348 :rule arith_poly_norm :args (@t164))
30.61/30.79	(step @p349 :rule arith_poly_norm_rel :premises (@p348) :args (@t166))
30.61/30.79	(step @p350 :rule symm :premises (@p349))
30.61/30.79	(step @p351 :rule eq_resolve :premises (@p27 @p350))
30.61/30.79	(step @p460 :rule and_intro :premises (@p80 @p351))
30.61/30.79	(step @p461 :rule modus_ponens :premises (@p460 @p459))
30.61/30.79	(step @p462 :rule arith_mult_neg :args (-1 @t162))
30.61/30.79	(step @p344 :rule arith_poly_norm :args (@t161))
30.61/30.79	(step @p345 :rule arith_poly_norm_rel :premises (@p344) :args (@t163))
30.61/30.79	(step @p346 :rule symm :premises (@p345))
30.61/30.79	(step @p347 :rule eq_resolve :premises (@p37 @p346))
30.61/30.79	(step @p463 :rule and_intro :premises (@p80 @p347))
30.61/30.79	(step @p464 :rule modus_ponens :premises (@p463 @p462))
30.61/30.79	(step @p465 :rule arith_sum_ub :premises (@p575 @p464 @p461 @p458 @p455 @p448 @p441))
30.61/30.79	(step @p466 false :rule eq_resolve :premises (@p465 @p438))
30.61/30.79	(step-pop @p575 :rule scope :premises (@p466))
30.61/30.79	(step @p467 :rule process_scope :premises (@p575) :args (false))
30.61/30.79	(step @p469 :rule arith_poly_norm :args ((= (* 1 (- @t196 0)) (* 1 (- @t169 @t173)))))
30.61/30.79	(step @p470 :rule arith_poly_norm_rel :premises (@p469) :args ((= @t197 @t194)))
30.61/30.79	(step @p471 :rule symm :premises (@p470))
30.61/30.79	(step @p472 :rule symm :premises (@p42))
30.61/30.79	(step @p473 :rule cong :premises (@p66 @p472) :args (@t186))
30.61/30.79	(step @p474 :rule refl :args (@t54))
30.61/30.79	(step @p475 :rule symm :premises (@p41))
30.61/30.79	(step @p476 :rule cong :premises (@p475 @p474) :args (@t180))
30.61/30.79	(step @p477 :rule trans :premises (@p476 @p253 @p473))
30.61/30.79	(step @p478 :rule cong :premises (@p66 @p477) :args (@t181))
30.61/30.79	(step @p479 :rule cong :premises (@p66 @p41) :args (@t54))
30.61/30.79	(step @p480 :rule cong :premises (@p479 @p474) :args (@t168))
30.61/30.79	(step @p481 :rule trans :premises (@p480 @p385 @p478))
30.61/30.79	(step @p482 :rule cong :premises (@p481) :args (@t169))
30.61/30.79	(step @p483 :rule eq_resolve :premises (@p482 @p471))
30.61/30.79	(step @p484 false :rule contra :premises (@p483 @p467))
30.61/30.79	(step-pop @p576 :rule scope :premises (@p484))
30.61/30.79	(step-pop @p577 :rule scope :premises (@p576))
30.61/30.79	(step-pop @p578 :rule scope :premises (@p577))
30.61/30.79	(step-pop @p579 :rule scope :premises (@p578))
30.61/30.79	(step-pop @p580 :rule scope :premises (@p579))
30.61/30.79	(step-pop @p581 :rule scope :premises (@p580))
30.61/30.79	(step-pop @p582 :rule scope :premises (@p581))
30.61/30.79	(step @p485 :rule process_scope :premises (@p582) :args (false))
30.61/30.79	(assume-push @p584 @t49)
30.61/30.79	(assume-push @p585 @t59)
30.61/30.79	(assume-push @p586 @t192)
30.61/30.79	(assume-push @p587 @t190)
30.61/30.79	(assume-push @p588 @t95)
30.61/30.79	(assume-push @p589 @t135)
30.61/30.79	(assume-push @p590 @t187)
30.61/30.79	(assume-push @p591 @t170)
30.61/30.79	(assume-push @p592 @t182)
30.61/30.79	(assume-push @p593 @t177)
30.61/30.79	(step @p472 :rule symm :premises (@p42))
30.61/30.79	(step @p473 :rule cong :premises (@p66 @p472) :args (@t186))
30.61/30.79	(step @p474 :rule refl :args (@t54))
30.61/30.79	(step @p475 :rule symm :premises (@p41))
30.61/30.79	(step @p476 :rule cong :premises (@p475 @p474) :args (@t180))
30.61/30.79	(step @p477 :rule trans :premises (@p476 @p253 @p473))
30.61/30.79	(step @p478 :rule cong :premises (@p66 @p477) :args (@t181))
30.61/30.79	(step @p479 :rule cong :premises (@p66 @p41) :args (@t54))
30.61/30.79	(step @p480 :rule cong :premises (@p479 @p474) :args (@t168))
30.61/30.79	(step @p481 :rule trans :premises (@p480 @p385 @p478))
30.61/30.79	(step @p503 :rule cong :premises (@p481) :args (@t169))
30.61/30.79	(step @p504 :rule and_intro :premises (@p591 @p395 @p252 @p588 @p27 @p37 @p503))
30.61/30.79	(step-pop @p593 :rule scope :premises (@p504))
30.61/30.79	(step-pop @p594 :rule scope :premises (@p593))
30.61/30.79	(step-pop @p595 :rule scope :premises (@p594))
30.61/30.79	(step-pop @p596 :rule scope :premises (@p595))
30.61/30.79	(step-pop @p597 :rule scope :premises (@p596))
30.61/30.79	(step-pop @p598 :rule scope :premises (@p597))
30.61/30.79	(step-pop @p599 :rule scope :premises (@p598))
30.61/30.79	(step-pop @p600 :rule scope :premises (@p599))
30.61/30.79	(step-pop @p601 :rule scope :premises (@p600))
30.61/30.79	(step-pop @p602 :rule scope :premises (@p601))
30.61/30.79	(step @p505 :rule process_scope :premises (@p602) :args (@t212))
30.61/30.79	(step @p516 :rule implies_elim :premises (@p505))
30.61/30.79	(step @p517 :rule resolution :premises (@p516 @p485) :args (true @t212))
30.61/30.79	(step @p518 :rule not_and :premises (@p517))
30.61/30.79	(step @p519 :rule eq_resolve :premises (@p518 @p404))
30.61/30.79	(step @p520 :rule reordering :premises (@p519) :args ((or @t150 @t149 @t193 @t94 @t191 @t189 @t188 @t184 @t183 @t179)))
30.61/30.79	(step @p521 false :rule chain_resolution :premises (@p520 @p395 @p385 @p384 @p253 @p252 @p242 @p42 @p41 @p37 @p27) :args ((@list false false false false false true false false false false) (@list @t177 @t182 @t170 @t187 @t135 @t94 @t190 @t192 @t59 @t49)))
30.61/30.79	)
30.61/30.79	% SZS output end Proof
30.61/30.79	% cvc5 exiting
30.64/30.79	EOF