0.03/0.11	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.12	% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 120 THM
0.13/0.33	% Computer : n029.cluster.edu
0.13/0.33	% Model    : x86_64 x86_64
0.13/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.33	% Memory   : 8042.1875MB
0.13/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.33	% CPULimit : 960
0.13/0.33	% WCLimit  : 120
0.13/0.33	% DateTime : Fri Sep  5 12:56:22 EDT 2025
0.13/0.33	% CPUTime  : 
0.19/0.48	%----Proving TF0_ARI
18.36/18.58	--- Run --finite-model-find --decision=internal at 18...
18.36/18.58	--- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 24...
18.36/18.58	% SZS status Theorem
18.36/18.58	% SZS output start Proof
18.36/18.58	(
18.36/18.58	(declare-const tptp.u Real)
18.36/18.58	(declare-const tptp.f (-> Real Real))
18.36/18.58	(declare-const tptp.v Real)
18.36/18.58	(declare-const tptp.x Real)
18.36/18.58	(declare-const tptp.y Real)
18.36/18.58	(define @t1 () (> tptp.v 1/1))
18.36/18.58	(define @t2 () (tptp.f tptp.y))
18.36/18.58	(define @t3 () (* tptp.v tptp.v))
18.36/18.58	(define @t4 () (+ @t3 @t2))
18.36/18.58	(define @t5 () (tptp.f tptp.x))
18.36/18.58	(define @t6 () (+ @t5 tptp.u))
18.36/18.58	(define @t7 () (not (< @t6 @t4)))
18.36/18.58	(define @t8 () (@var "Y" Real))
18.36/18.58	(define @t9 () (tptp.f @t8))
18.36/18.58	(define @t10 () (@var "X" Real))
18.36/18.58	(define @t11 () (tptp.f @t10))
18.36/18.58	(define @t12 () (>= @t11 @t9))
18.36/18.58	(define @t13 () (>= @t10 @t8))
18.36/18.58	(define @t14 () (=> @t13 @t12))
18.36/18.58	(define @t15 () (@list @t10 @t8))
18.36/18.58	(define @t16 () (forall @t15 @t14))
18.36/18.58	(define @t17 () (* tptp.v tptp.v))
18.36/18.58	(define @t18 () (* -1 @t17))
18.36/18.58	(define @t19 () (* -1 @t2))
18.36/18.58	(define @t20 () (+ tptp.u @t5 @t19 @t18))
18.36/18.58	(define @t21 () (>= @t20 0))
18.36/18.58	(define @t22 () (* 1/1 (- @t20 0)))
18.36/18.58	(define @t23 () (+ @t2 @t17))
18.36/18.58	(define @t24 () (+ tptp.u @t5))
18.36/18.58	(define @t25 () (>= @t6 @t4))
18.36/18.58	(define @t26 () (* -1 tptp.v))
18.36/18.58	(define @t27 () (+ tptp.u @t26))
18.36/18.58	(define @t28 () (* 1/1 (- @t27 0)))
18.36/18.58	(define @t29 () (>= @t27 0))
18.36/18.58	(define @t30 () (>= tptp.u tptp.v))
18.36/18.58	(define @t31 () (>= @t26 -1))
18.36/18.58	(define @t32 () (>= 1/1 tptp.v))
18.36/18.58	(define @t33 () (>= tptp.v 0))
18.36/18.58	(define @t34 () (not @t33))
18.36/18.58	(define @t35 () (not @t31))
18.36/18.58	(define @t36 () (not @t35))
18.36/18.58	(define @t37 () (= (* 1/1 (- tptp.v 0/1)) (* 1/1 (- tptp.v 0))))
18.36/18.58	(define @t38 () (>= tptp.v 0/1))
18.36/18.58	(define @t39 () (= @t38 @t33))
18.36/18.58	(define @t40 () (< tptp.v 0/1))
18.36/18.58	(define @t41 () (not true))
18.36/18.58	(define @t42 () (>= 0/1 -1/1))
18.36/18.58	(define @t43 () (+ 0/1 -1/1))
18.36/18.58	(define @t44 () (* -1/1 1/1))
18.36/18.58	(define @t45 () (+ 0/1 @t44))
18.36/18.58	(define @t46 () (= (+ tptp.v @t26) 0/1))
18.36/18.58	(define @t47 () (* -1/1 tptp.v))
18.36/18.58	(define @t48 () (= @t47 @t26))
18.36/18.58	(define @t49 () (+ tptp.v @t47))
18.36/18.58	(define @t50 () (>= @t49 @t45))
18.36/18.58	(define @t51 () (not @t50))
18.36/18.58	(define @t52 () (< -1/1 0/1))
18.36/18.58	(define @t53 () (and @t34 @t35))
18.36/18.58	(define @t54 () (@list true))
18.36/18.58	(define @t55 () (@list @t31))
18.36/18.58	(define @t56 () (>= tptp.v -1))
18.36/18.58	(define @t57 () (not @t56))
18.36/18.58	(define @t58 () (ite @t33 @t35 @t57))
18.36/18.58	(define @t59 () (@list true false))
18.36/18.58	(define @t60 () (= tptp.v 0/1))
18.36/18.58	(define @t61 () (not @t60))
18.36/18.58	(define @t62 () (and @t60 @t35))
18.36/18.58	(define @t63 () (not @t58))
18.36/18.58	(define @t64 () (and @t58 @t61))
18.36/18.58	(define @t65 () (not @t61))
18.36/18.58	(define @t66 () (+ @t26 @t17))
18.36/18.58	(define @t67 () (* -1/1 (- @t66 0)))
18.36/18.58	(define @t68 () (>= @t66 0))
18.36/18.58	(define @t69 () (- tptp.v))
18.36/18.58	(define @t70 () (- @t17))
18.36/18.58	(define @t71 () (<= @t70 @t69))
18.36/18.58	(define @t72 () (+ tptp.v @t17))
18.36/18.58	(define @t73 () (>= @t72 0))
18.36/18.58	(define @t74 () (<= @t70 tptp.v))
18.36/18.58	(define @t75 () (ite @t38 (> @t70 tptp.v) (> @t70 @t69)))
18.36/18.58	(define @t76 () (+ @t26 @t18))
18.36/18.58	(define @t77 () (>= @t76 0))
18.36/18.58	(define @t78 () (<= @t17 @t69))
18.36/18.58	(define @t79 () (+ tptp.v @t18))
18.36/18.58	(define @t80 () (* 1/1 (- @t79 0)))
18.36/18.58	(define @t81 () (>= @t79 0))
18.36/18.58	(define @t82 () (>= tptp.v @t17))
18.36/18.58	(define @t83 () (ite @t38 (> @t17 tptp.v) (> @t17 @t69)))
18.36/18.58	(define @t84 () (>= @t17 0))
18.36/18.58	(define @t85 () (>= @t17 0/1))
18.36/18.58	(define @t86 () (ite @t85 @t83 @t75))
18.36/18.58	(define @t87 () (>= tptp.v 1))
18.36/18.58	(define @t88 () (- 1/1))
18.36/18.58	(define @t89 () (<= @t69 @t88))
18.36/18.58	(define @t90 () (<= @t69 1/1))
18.36/18.58	(define @t91 () (>= 1/1 0/1))
18.36/18.58	(define @t92 () (ite @t91 (> @t69 1/1) (> @t69 @t88)))
18.36/18.58	(define @t93 () (>= @t26 1))
18.36/18.58	(define @t94 () (<= tptp.v @t88))
18.36/18.58	(define @t95 () (ite @t91 @t1 (> tptp.v @t88)))
18.36/18.58	(define @t96 () (ite @t38 @t95 @t92))
18.36/18.58	(define @t97 () (and @t96 @t61))
18.36/18.58	(define @t98 () (abs @t17))
18.36/18.58	(define @t99 () (abs tptp.v))
18.36/18.58	(define @t100 () (+ @t99 (* -1 @t98)))
18.36/18.58	(define @t101 () (>= @t99 @t98))
18.36/18.58	(define @t102 () (* 1/1 tptp.v))
18.36/18.58	(define @t103 () (abs @t102))
18.36/18.58	(define @t104 () (<= @t98 @t103))
18.36/18.58	(define @t105 () (@list false))
18.36/18.58	(define @t106 () (>= @t18 0))
18.36/18.58	(define @t107 () (not @t106))
18.36/18.58	(define @t108 () (>= 0/1 @t17))
18.36/18.58	(define @t109 () (> @t17 0/1))
18.36/18.58	(define @t110 () (< @t17 0/1))
18.36/18.58	(define @t111 () (>= 0/1 0/1))
18.36/18.58	(define @t112 () (+ 0/1 0/1))
18.36/18.58	(define @t113 () (* -1/1 0/1))
18.36/18.58	(define @t114 () (+ 0/1 @t113))
18.36/18.58	(define @t115 () (* -1/1 @t17))
18.36/18.58	(define @t116 () (+ @t17 @t115))
18.36/18.58	(define @t117 () (>= @t116 @t114))
18.36/18.58	(define @t118 () (not @t68))
18.36/18.58	(define @t119 () (not @t81))
18.36/18.58	(define @t120 () (ite @t33 @t119 (not @t77)))
18.36/18.58	(define @t121 () (ite @t84 @t120 (ite @t33 (not @t73) @t118)))
18.36/18.58	(define @t122 () (@list false false))
18.36/18.58	(define @t123 () (= (* -1/1 (- 0/1 @t79)) @t67))
18.36/18.58	(define @t124 () (>= 0/1 @t79))
18.36/18.58	(define @t125 () (= @t124 @t68))
18.36/18.58	(define @t126 () (> @t79 0/1))
18.36/18.58	(define @t127 () (+ @t113 0/1))
18.36/18.58	(define @t128 () (* 0 tptp.v))
18.36/18.58	(define @t129 () (* 0 @t17))
18.36/18.58	(define @t130 () (= @t129 0/1))
18.36/18.58	(define @t131 () (+ @t129 @t128))
18.36/18.58	(define @t132 () (+ (* -1/1 @t79) @t79))
18.36/18.58	(define @t133 () (>= @t132 @t127))
18.36/18.58	(define @t134 () (>= @t79 0/1))
18.36/18.58	(define @t135 () (+ @t10 (* -1 @t8)))
18.36/18.58	(define @t136 () (>= @t135 0))
18.36/18.58	(define @t137 () (+ @t11 (* -1 @t9)))
18.36/18.58	(define @t138 () (>= @t137 0))
18.36/18.58	(define @t139 () (* -1 @t5))
18.36/18.58	(define @t140 () (+ @t139 @t2))
18.36/18.58	(define @t141 () (+ @t2 @t139))
18.36/18.58	(define @t142 () (>= @t141 0))
18.36/18.58	(define @t143 () (* -1 tptp.x))
18.36/18.58	(define @t144 () (+ @t143 tptp.y))
18.36/18.58	(define @t145 () (+ tptp.y @t143))
18.36/18.58	(define @t146 () (>= @t145 0))
18.36/18.58	(define @t147 () (not @t146))
18.36/18.58	(define @t148 () (or @t147 @t142))
18.36/18.58	(define @t149 () (forall @t15 (or (not @t136) @t138)))
18.36/18.58	(define @t150 () (>= @t144 0))
18.36/18.58	(define @t151 () (>= @t140 0))
18.36/18.58	(define @t152 () (not @t150))
18.36/18.58	(define @t153 () (or @t152 @t151))
18.36/18.58	(define @t154 () (@list @t150 @t153))
18.36/18.58	(define @t155 () (not @t151))
18.36/18.58	(define @t156 () (not @t21))
18.36/18.58	(define @t157 () (not @t29))
18.36/18.58	(define @t158 () (+ @t5 @t19))
18.36/18.58	(define @t159 () (>= 0/1 @t158))
18.36/18.58	(define @t160 () (<= @t158 0/1))
18.36/18.58	(define @t161 () (+ 0/1 @t113 0/1 0/1))
18.36/18.58	(define @t162 () (* 0 tptp.u))
18.36/18.58	(define @t163 () (* 0 @t5))
18.36/18.58	(define @t164 () (* 0 @t2))
18.36/18.58	(define @t165 () (+ @t129 @t164 @t26 @t163 tptp.v @t162))
18.36/18.58	(define @t166 () (+ @t158 (* -1/1 @t20) @t27 @t79))
18.36/18.58	(define @t167 () (>= @t166 @t161))
18.36/18.58	(define @t168 () (>= @t27 0/1))
18.36/18.58	(define @t169 () (>= @t20 0/1))
18.36/18.58	(define @t170 () (and @t68 @t157 @t21 @t151))
18.36/18.58	(assume @p1 (<= tptp.x tptp.y))
18.36/18.58	(assume @p2 @t1)
18.36/18.58	(assume @p3 @t7)
18.36/18.58	(assume @p4 (< tptp.u tptp.v))
18.36/18.58	(assume @p5 @t16)
18.36/18.58	(assume @p6 true)
18.36/18.58	(step @p7 :rule bool-double-not-elim :args (@t21))
18.36/18.58	(step @p8 :rule arith_poly_norm :args ((= (* 1/1 (- @t24 @t23)) @t22)))
18.36/18.58	(step @p9 :rule arith_poly_norm_rel :premises (@p8) :args ((= (>= @t24 @t23) @t21)))
18.36/18.58	(step @p10 :rule arith_poly_norm :args ((= (+ @t17 @t2) @t23)))
18.36/18.58	(step @p11 :rule refl :args (@t2))
18.36/18.58	(step @p12 :rule arith_poly_norm :args ((= @t3 @t17)))
18.36/18.58	(step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t4))
18.36/18.58	(step @p14 :rule trans :premises (@p13 @p10))
18.36/18.58	(step @p15 :rule arith_poly_norm :args ((= @t6 @t24)))
18.36/18.58	(step @p16 :rule cong :premises (@p15 @p14) :args (@t25))
18.36/18.58	(step @p17 :rule trans :premises (@p16 @p9))
18.36/18.58	(step @p18 :rule cong :premises (@p17) :args ((not @t25)))
18.36/18.58	(step @p19 :rule arith-elim-lt :args (@t6 @t4))
18.36/18.58	(step @p20 :rule trans :premises (@p19 @p18))
18.36/18.58	(step @p21 :rule cong :premises (@p20) :args (@t7))
18.36/18.58	(step @p22 :rule trans :premises (@p21 @p7))
18.36/18.58	(step @p23 :rule eq_resolve :premises (@p3 @p22))
18.36/18.58	(step @p24 :rule arith_poly_norm :args ((= (* 1/1 (- tptp.u tptp.v)) @t28)))
18.36/18.58	(step @p25 :rule arith_poly_norm_rel :premises (@p24) :args ((= @t30 @t29)))
18.36/18.58	(step @p26 :rule cong :premises (@p25) :args ((not @t30)))
18.36/18.58	(step @p27 :rule arith-elim-lt :args (tptp.u tptp.v))
18.36/18.58	(step @p28 :rule trans :premises (@p27 @p26))
18.36/18.58	(step @p29 :rule eq_resolve :premises (@p4 @p28))
18.36/18.58	(step @p30 :rule arith_poly_norm :args ((= (* 1/1 (- 1/1 tptp.v)) (* 1/1 (- @t26 -1)))))
18.36/18.58	(step @p31 :rule arith_poly_norm_rel :premises (@p30) :args ((= @t32 @t31)))
18.36/18.58	(step @p32 :rule arith-elim-leq :args (tptp.v 1/1))
18.36/18.58	(step @p33 :rule trans :premises (@p32 @p31))
18.36/18.58	(step @p34 :rule cong :premises (@p33) :args ((not (<= tptp.v 1/1))))
18.36/18.58	(step @p35 :rule symm :premises (@p32))
18.36/18.58	(step @p36 :rule cong :premises (@p35) :args ((not @t32)))
18.36/18.58	(step @p37 :rule arith-elim-gt :args (tptp.v 1/1))
18.36/18.58	(step @p38 :rule trans :premises (@p37 @p36))
18.36/18.58	(step @p39 :rule trans :premises (@p38 @p34))
18.36/18.58	(step @p40 :rule eq_resolve :premises (@p2 @p39))
18.36/18.58	(step @p41 :rule bool-double-not-elim :args (@t33))
18.36/18.58	(step @p42 :rule bool-double-not-elim :args (@t31))
18.36/18.58	(step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t36 (not @t34))))
18.36/18.58	(assume-push @p541 @t34)
18.36/18.58	(assume-push @p542 @t35)
18.36/18.58	(step @p46 :rule arith-elim-lt :args (tptp.v 0/1))
18.36/18.58	(step @p47 :rule arith_poly_norm :args (@t37))
18.36/18.58	(step @p48 :rule arith_poly_norm_rel :premises (@p47) :args (@t39))
18.36/18.58	(step @p49 :rule cong :premises (@p48) :args ((not @t38)))
18.36/18.58	(step @p50 :rule trans :premises (@p46 @p49))
18.36/18.58	(step @p51 :rule symm :premises (@p50))
18.36/18.58	(step @p52 :rule eq_resolve :premises (@p541 @p51))
18.36/18.58	(step @p53 :rule eq_resolve :premises (@p52 @p46))
18.36/18.58	(step @p54 :rule symm :premises (@p48))
18.36/18.58	(step @p55 :rule cong :premises (@p50) :args ((not @t40)))
18.36/18.58	(step @p56 :rule trans :premises (@p55 @p41))
18.36/18.58	(step @p57 :rule trans :premises (@p56 @p54))
18.36/18.58	(assume-push @p543 @t40)
18.36/18.58	(step @p59 :rule evaluate :args (@t41))
18.36/18.58	(step @p60 :rule evaluate :args (@t42))
18.36/18.58	(step @p61 :rule evaluate :args (@t43))
18.36/18.58	(step @p62 :rule evaluate :args (@t44))
18.36/18.58	(step @p63 :rule refl :args (0/1))
18.36/18.58	(step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t45))
18.36/18.58	(step @p65 :rule trans :premises (@p64 @p61))
18.36/18.58	(step @p66 :rule arith_poly_norm :args (@t46))
18.36/18.58	(step @p67 :rule arith_poly_norm :args (@t48))
18.36/18.58	(step @p68 :rule refl :args (tptp.v))
18.36/18.58	(step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t49))
18.36/18.58	(step @p70 :rule trans :premises (@p69 @p66))
18.36/18.58	(step @p71 :rule cong :premises (@p70 @p65) :args (@t50))
18.36/18.58	(step @p72 :rule trans :premises (@p71 @p60))
18.36/18.58	(step @p73 :rule cong :premises (@p72) :args (@t51))
18.36/18.58	(step @p74 :rule trans :premises (@p73 @p59))
18.36/18.58	(step @p75 :rule arith-elim-lt :args (@t49 @t45))
18.36/18.58	(step @p76 :rule trans :premises (@p75 @p74))
18.36/18.58	(step @p77 :rule arith_mult_neg :args (-1/1 @t1))
18.36/18.58	(step @p78 :rule evaluate :args (@t52))
18.36/18.58	(step @p79 :rule true_elim :premises (@p78))
18.36/18.58	(step @p80 :rule and_intro :premises (@p79 @p2))
18.36/18.58	(step @p81 :rule modus_ponens :premises (@p80 @p77))
18.36/18.58	(step @p82 :rule arith_sum_ub :premises (@p543 @p81))
18.36/18.58	(step @p83 false :rule eq_resolve :premises (@p82 @p76))
18.36/18.58	(step-pop @p543 :rule scope :premises (@p83))
18.36/18.58	(step @p84 :rule process_scope :premises (@p543) :args (false))
18.36/18.58	(step @p86 :rule eq_resolve :premises (@p84 @p57))
18.36/18.58	(step @p87 false :rule contra :premises (@p86 @p53))
18.36/18.58	(step-pop @p544 :rule scope :premises (@p87))
18.36/18.58	(step-pop @p545 :rule scope :premises (@p544))
18.36/18.58	(step @p88 :rule process_scope :premises (@p545) :args (false))
18.36/18.58	(assume-push @p547 @t35)
18.36/18.58	(assume-push @p548 @t34)
18.36/18.58	(step @p93 :rule and_intro :premises (@p548 @p40))
18.36/18.58	(step-pop @p548 :rule scope :premises (@p93))
18.36/18.58	(step-pop @p549 :rule scope :premises (@p548))
18.36/18.58	(step @p94 :rule process_scope :premises (@p549) :args (@t53))
18.36/18.58	(step @p97 :rule implies_elim :premises (@p94))
18.36/18.58	(step @p98 :rule resolution :premises (@p97 @p88) :args (true @t53))
18.36/18.58	(step @p99 :rule not_and :premises (@p98))
18.36/18.58	(step @p100 :rule eq_resolve :premises (@p99 @p43))
18.36/18.58	(step @p101 :rule chain_resolution :premises (@p100 @p40) :args (@t54 @t55))
18.36/18.58	(step @p102 :rule refl :args (@t34))
18.36/18.58	(step @p103 :rule refl :args (@t58))
18.36/18.58	(step @p104 :rule nary_cong :premises (@p103 @p102 @p42) :args ((or @t58 @t34 @t36)))
18.36/18.58	(step @p105 :rule cnf_ite_neg1 :args (@t58))
18.36/18.58	(step @p106 :rule eq_resolve :premises (@p105 @p104))
18.36/18.58	(step @p107 :rule reordering :premises (@p106) :args ((or @t31 @t58 @t34)))
18.36/18.58	(step @p108 :rule chain_resolution :premises (@p107 @p40 @p101) :args (@t59 (@list @t31 @t33)))
18.36/18.58	(step @p109 :rule refl :args (@t61))
18.36/18.58	(step @p110 :rule nary_cong :premises (@p42 @p109) :args ((or @t36 @t61)))
18.36/18.58	(assume-push @p551 @t60)
18.36/18.58	(assume-push @p552 @t35)
18.36/18.58	(assume-push @p553 @t60)
18.36/18.58	(step @p59 :rule evaluate :args (@t41))
18.36/18.58	(step @p60 :rule evaluate :args (@t42))
18.36/18.58	(step @p61 :rule evaluate :args (@t43))
18.36/18.58	(step @p62 :rule evaluate :args (@t44))
18.36/18.58	(step @p63 :rule refl :args (0/1))
18.36/18.58	(step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t45))
18.36/18.58	(step @p65 :rule trans :premises (@p64 @p61))
18.36/18.58	(step @p66 :rule arith_poly_norm :args (@t46))
18.36/18.58	(step @p67 :rule arith_poly_norm :args (@t48))
18.36/18.58	(step @p68 :rule refl :args (tptp.v))
18.36/18.58	(step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t49))
18.36/18.58	(step @p70 :rule trans :premises (@p69 @p66))
18.36/18.58	(step @p71 :rule cong :premises (@p70 @p65) :args (@t50))
18.36/18.58	(step @p72 :rule trans :premises (@p71 @p60))
18.36/18.58	(step @p73 :rule cong :premises (@p72) :args (@t51))
18.36/18.58	(step @p74 :rule trans :premises (@p73 @p59))
18.36/18.58	(step @p75 :rule arith-elim-lt :args (@t49 @t45))
18.36/18.58	(step @p76 :rule trans :premises (@p75 @p74))
18.36/18.58	(step @p77 :rule arith_mult_neg :args (-1/1 @t1))
18.36/18.58	(step @p78 :rule evaluate :args (@t52))
18.36/18.58	(step @p79 :rule true_elim :premises (@p78))
18.36/18.58	(step @p80 :rule and_intro :premises (@p79 @p2))
18.36/18.58	(step @p81 :rule modus_ponens :premises (@p80 @p77))
18.36/18.58	(step @p114 :rule arith_sum_ub :premises (@p551 @p81))
18.36/18.58	(step @p115 false :rule eq_resolve :premises (@p114 @p76))
18.36/18.58	(step-pop @p553 :rule scope :premises (@p115))
18.36/18.58	(step @p116 :rule process_scope :premises (@p553) :args (false))
18.36/18.58	(step @p118 false :rule contra :premises (@p551 @p116))
18.36/18.58	(step-pop @p554 :rule scope :premises (@p118))
18.36/18.58	(step-pop @p555 :rule scope :premises (@p554))
18.36/18.58	(step @p119 :rule process_scope :premises (@p555) :args (false))
18.36/18.58	(assume-push @p557 @t35)
18.36/18.58	(assume-push @p558 @t60)
18.36/18.58	(step @p124 :rule and_intro :premises (@p558 @p40))
18.36/18.58	(step-pop @p558 :rule scope :premises (@p124))
18.36/18.58	(step-pop @p559 :rule scope :premises (@p558))
18.36/18.58	(step @p125 :rule process_scope :premises (@p559) :args (@t62))
18.36/18.58	(step @p128 :rule implies_elim :premises (@p125))
18.36/18.58	(step @p129 :rule resolution :premises (@p128 @p119) :args (true @t62))
18.36/18.58	(step @p130 :rule not_and :premises (@p129))
18.36/18.58	(step @p131 :rule eq_resolve :premises (@p130 @p110))
18.36/18.58	(step @p132 :rule chain_resolution :premises (@p131 @p40) :args (@t54 @t55))
18.36/18.58	(step @p133 :rule bool-double-not-elim :args (@t60))
18.36/18.58	(step @p134 :rule refl :args (@t63))
18.36/18.58	(step @p135 :rule refl :args (@t64))
18.36/18.58	(step @p136 :rule nary_cong :premises (@p135 @p134 @p133) :args ((or @t64 @t63 @t65)))
18.36/18.58	(step @p137 :rule cnf_and_neg :args (@t64))
18.36/18.58	(step @p138 :rule eq_resolve :premises (@p137 @p136))
18.36/18.58	(step @p139 :rule reordering :premises (@p138) :args ((or @t60 @t64 @t63)))
18.36/18.58	(step @p140 :rule chain_resolution :premises (@p139 @p132 @p108) :args (@t59 (@list @t60 @t58)))
18.36/18.58	(step @p141 :rule arith_poly_norm :args ((= (* -1/1 (- @t26 @t18)) @t67)))
18.36/18.58	(step @p142 :rule arith_poly_norm_rel :premises (@p141) :args ((= (>= @t26 @t18) @t68)))
18.36/18.58	(step @p143 :rule arith-elim-leq :args (@t18 @t26))
18.36/18.58	(step @p144 :rule trans :premises (@p143 @p142))
18.36/18.58	(step @p145 :rule arith_poly_norm :args ((= @t69 @t26)))
18.36/18.58	(step @p146 :rule arith_poly_norm :args ((= @t70 @t18)))
18.36/18.58	(step @p147 :rule cong :premises (@p146 @p145) :args (@t71))
18.36/18.58	(step @p148 :rule trans :premises (@p147 @p144))
18.36/18.58	(step @p149 :rule cong :premises (@p148) :args ((not @t71)))
18.36/18.58	(step @p150 :rule arith-elim-leq :args (@t70 @t69))
18.36/18.58	(step @p151 :rule symm :premises (@p150))
18.36/18.58	(step @p152 :rule cong :premises (@p151) :args ((not (>= @t69 @t70))))
18.36/18.58	(step @p153 :rule arith-elim-gt :args (@t70 @t69))
18.36/18.58	(step @p154 :rule trans :premises (@p153 @p152))
18.36/18.58	(step @p155 :rule trans :premises (@p154 @p149))
18.36/18.58	(step @p156 :rule arith_poly_norm :args ((= (* 1/1 (- tptp.v @t18)) (* 1/1 (- @t72 0)))))
18.36/18.58	(step @p157 :rule arith_poly_norm_rel :premises (@p156) :args ((= (>= tptp.v @t18) @t73)))
18.36/18.58	(step @p158 :rule arith-elim-leq :args (@t18 tptp.v))
18.36/18.58	(step @p159 :rule trans :premises (@p158 @p157))
18.36/18.58	(step @p68 :rule refl :args (tptp.v))
18.36/18.58	(step @p160 :rule cong :premises (@p146 @p68) :args (@t74))
18.36/18.58	(step @p161 :rule trans :premises (@p160 @p159))
18.36/18.58	(step @p162 :rule cong :premises (@p161) :args ((not @t74)))
18.36/18.58	(step @p163 :rule arith-elim-leq :args (@t70 tptp.v))
18.36/18.58	(step @p164 :rule symm :premises (@p163))
18.36/18.58	(step @p165 :rule cong :premises (@p164) :args ((not (>= tptp.v @t70))))
18.36/18.58	(step @p166 :rule arith-elim-gt :args (@t70 tptp.v))
18.36/18.58	(step @p167 :rule trans :premises (@p166 @p165))
18.36/18.58	(step @p168 :rule trans :premises (@p167 @p162))
18.36/18.58	(step @p47 :rule arith_poly_norm :args (@t37))
18.36/18.58	(step @p48 :rule arith_poly_norm_rel :premises (@p47) :args (@t39))
18.36/18.58	(step @p169 :rule cong :premises (@p48 @p168 @p155) :args (@t75))
18.36/18.58	(step @p170 :rule arith_poly_norm :args ((= (* -1/1 (- @t26 @t17)) (* -1/1 (- @t76 0)))))
18.36/18.58	(step @p171 :rule arith_poly_norm_rel :premises (@p170) :args ((= (>= @t26 @t17) @t77)))
18.36/18.58	(step @p172 :rule arith-elim-leq :args (@t17 @t26))
18.36/18.58	(step @p173 :rule trans :premises (@p172 @p171))
18.36/18.58	(step @p174 :rule refl :args (@t17))
18.36/18.58	(step @p175 :rule cong :premises (@p174 @p145) :args (@t78))
18.36/18.58	(step @p176 :rule trans :premises (@p175 @p173))
18.36/18.58	(step @p177 :rule cong :premises (@p176) :args ((not @t78)))
18.36/18.58	(step @p178 :rule arith-elim-leq :args (@t17 @t69))
18.36/18.58	(step @p179 :rule symm :premises (@p178))
18.36/18.58	(step @p180 :rule cong :premises (@p179) :args ((not (>= @t69 @t17))))
18.36/18.58	(step @p181 :rule arith-elim-gt :args (@t17 @t69))
18.36/18.58	(step @p182 :rule trans :premises (@p181 @p180))
18.36/18.58	(step @p183 :rule trans :premises (@p182 @p177))
18.36/18.58	(step @p184 :rule arith_poly_norm :args ((= (* 1/1 (- tptp.v @t17)) @t80)))
18.36/18.58	(step @p185 :rule arith_poly_norm_rel :premises (@p184) :args ((= @t82 @t81)))
18.36/18.58	(step @p186 :rule arith-elim-leq :args (@t17 tptp.v))
18.36/18.58	(step @p187 :rule trans :premises (@p186 @p185))
18.36/18.58	(step @p188 :rule cong :premises (@p187) :args ((not (<= @t17 tptp.v))))
18.36/18.58	(step @p189 :rule symm :premises (@p186))
18.36/18.58	(step @p190 :rule cong :premises (@p189) :args ((not @t82)))
18.36/18.58	(step @p191 :rule arith-elim-gt :args (@t17 tptp.v))
18.36/18.58	(step @p192 :rule trans :premises (@p191 @p190))
18.36/18.58	(step @p193 :rule trans :premises (@p192 @p188))
18.36/18.58	(step @p194 :rule cong :premises (@p48 @p193 @p183) :args (@t83))
18.36/18.58	(step @p195 :rule arith_poly_norm :args ((= (* 1/1 (- @t17 0/1)) (* 1/1 (- @t17 0)))))
18.36/18.58	(step @p196 :rule arith_poly_norm_rel :premises (@p195) :args ((= @t85 @t84)))
18.36/18.58	(step @p197 :rule cong :premises (@p196 @p194 @p169) :args (@t86))
18.36/18.58	(step @p198 :rule ite-true-cond :args (@t57 (not @t87)))
18.36/18.58	(step @p199 :rule arith_poly_norm :args ((= (* -1/1 (- -1/1 @t26)) (* -1/1 (- tptp.v 1)))))
18.36/18.58	(step @p200 :rule arith_poly_norm_rel :premises (@p199) :args ((= (>= -1/1 @t26) @t87)))
18.36/18.58	(step @p201 :rule arith-elim-leq :args (@t26 -1/1))
18.36/18.58	(step @p202 :rule trans :premises (@p201 @p200))
18.36/18.58	(step @p203 :rule evaluate :args (@t88))
18.36/18.58	(step @p204 :rule cong :premises (@p145 @p203) :args (@t89))
18.36/18.58	(step @p205 :rule trans :premises (@p204 @p202))
18.36/18.58	(step @p206 :rule cong :premises (@p205) :args ((not @t89)))
18.36/18.58	(step @p207 :rule arith-elim-leq :args (@t69 @t88))
18.36/18.58	(step @p208 :rule symm :premises (@p207))
18.36/18.58	(step @p209 :rule cong :premises (@p208) :args ((not (>= @t88 @t69))))
18.36/18.58	(step @p210 :rule arith-elim-gt :args (@t69 @t88))
18.36/18.58	(step @p211 :rule trans :premises (@p210 @p209))
18.36/18.58	(step @p212 :rule trans :premises (@p211 @p206))
18.36/18.58	(step @p213 :rule arith_poly_norm :args ((= (* 1/1 (- 1/1 @t26)) (* 1/1 (- tptp.v -1)))))
18.36/18.58	(step @p214 :rule arith_poly_norm_rel :premises (@p213) :args ((= (>= 1/1 @t26) @t56)))
18.36/18.58	(step @p215 :rule arith-elim-leq :args (@t26 1/1))
18.36/18.58	(step @p216 :rule trans :premises (@p215 @p214))
18.36/18.58	(step @p217 :rule refl :args (1/1))
18.36/18.58	(step @p218 :rule cong :premises (@p145 @p217) :args (@t90))
18.36/18.58	(step @p219 :rule trans :premises (@p218 @p216))
18.36/18.58	(step @p220 :rule cong :premises (@p219) :args ((not @t90)))
18.36/18.58	(step @p221 :rule arith-elim-leq :args (@t69 1/1))
18.36/18.58	(step @p222 :rule symm :premises (@p221))
18.36/18.58	(step @p223 :rule cong :premises (@p222) :args ((not (>= 1/1 @t69))))
18.36/18.58	(step @p224 :rule arith-elim-gt :args (@t69 1/1))
18.36/18.58	(step @p225 :rule trans :premises (@p224 @p223))
18.36/18.58	(step @p226 :rule trans :premises (@p225 @p220))
18.36/18.58	(step @p227 :rule evaluate :args (@t91))
18.36/18.58	(step @p228 :rule cong :premises (@p227 @p226 @p212) :args (@t92))
18.36/18.58	(step @p229 :rule trans :premises (@p228 @p198))
18.36/18.58	(step @p230 :rule ite-true-cond :args (@t35 (not @t93)))
18.36/18.58	(step @p231 :rule arith_poly_norm :args ((= (* -1/1 (- -1/1 tptp.v)) (* -1/1 (- @t26 1)))))
18.36/18.58	(step @p232 :rule arith_poly_norm_rel :premises (@p231) :args ((= (>= -1/1 tptp.v) @t93)))
18.36/18.58	(step @p233 :rule arith-elim-leq :args (tptp.v -1/1))
18.36/18.58	(step @p234 :rule trans :premises (@p233 @p232))
18.36/18.58	(step @p235 :rule cong :premises (@p68 @p203) :args (@t94))
18.36/18.58	(step @p236 :rule trans :premises (@p235 @p234))
18.36/18.58	(step @p237 :rule cong :premises (@p236) :args ((not @t94)))
18.36/18.58	(step @p238 :rule arith-elim-leq :args (tptp.v @t88))
18.36/18.58	(step @p239 :rule symm :premises (@p238))
18.36/18.58	(step @p240 :rule cong :premises (@p239) :args ((not (>= @t88 tptp.v))))
18.36/18.58	(step @p241 :rule arith-elim-gt :args (tptp.v @t88))
18.36/18.58	(step @p242 :rule trans :premises (@p241 @p240))
18.36/18.58	(step @p243 :rule trans :premises (@p242 @p237))
18.36/18.58	(step @p244 :rule cong :premises (@p227 @p39 @p243) :args (@t95))
18.36/18.58	(step @p245 :rule trans :premises (@p244 @p230))
18.36/18.58	(step @p246 :rule cong :premises (@p48 @p245 @p229) :args (@t96))
18.36/18.58	(step @p247 :rule nary_cong :premises (@p246 @p109) :args (@t97))
18.36/18.58	(step @p248 :rule cong :premises (@p247 @p197) :args ((=> @t97 @t86)))
18.36/18.58	(assume-push @p561 @t96)
18.36/18.58	(assume-push @p562 @t61)
18.36/18.58	(step @p251 :rule arith-abs-real-gt :args (@t17 tptp.v))
18.36/18.58	(step @p252 :rule arith_poly_norm :args ((= (* 1/1 (- @t99 @t98)) (* 1/1 (- @t100 0)))))
18.36/18.58	(step @p253 :rule arith_poly_norm_rel :premises (@p252) :args ((= @t101 (>= @t100 0))))
18.36/18.58	(step @p254 :rule arith-elim-leq :args (@t98 @t99))
18.36/18.58	(step @p255 :rule trans :premises (@p254 @p253))
18.36/18.58	(step @p256 :rule cong :premises (@p255) :args ((not (<= @t98 @t99))))
18.36/18.58	(step @p257 :rule symm :premises (@p254))
18.36/18.58	(step @p258 :rule cong :premises (@p257) :args ((not @t101)))
18.36/18.58	(step @p259 :rule arith-elim-gt :args (@t98 @t99))
18.36/18.58	(step @p260 :rule trans :premises (@p259 @p258))
18.36/18.58	(step @p261 :rule trans :premises (@p260 @p256))
18.36/18.58	(step @p262 :rule symm :premises (@p261))
18.36/18.58	(step @p263 :rule arith_poly_norm :args ((= @t102 tptp.v)))
18.36/18.58	(step @p264 :rule cong :premises (@p263) :args (@t103))
18.36/18.58	(step @p265 :rule refl :args (@t98))
18.36/18.58	(step @p266 :rule cong :premises (@p265 @p264) :args (@t104))
18.36/18.58	(step @p267 :rule trans :premises (@p266 @p255))
18.36/18.58	(step @p268 :rule cong :premises (@p267) :args ((not @t104)))
18.36/18.58	(step @p269 :rule arith-elim-leq :args (@t98 @t103))
18.36/18.58	(step @p270 :rule symm :premises (@p269))
18.36/18.58	(step @p271 :rule cong :premises (@p270) :args ((not (>= @t103 @t98))))
18.36/18.58	(step @p272 :rule arith-elim-gt :args (@t98 @t103))
18.36/18.58	(step @p273 :rule trans :premises (@p272 @p271))
18.36/18.58	(step @p274 :rule trans :premises (@p273 @p268))
18.36/18.58	(step @p275 :rule trans :premises (@p274 @p262))
18.36/18.58	(step @p276 :rule refl :args (@t99))
18.36/18.58	(step @p277 :rule and_intro :premises (@p276 @p562))
18.36/18.58	(step @p278 :rule arith-abs-real-gt :args (tptp.v 1/1))
18.36/18.58	(step @p279 :rule symm :premises (@p278))
18.36/18.58	(step @p280 :rule eq_resolve :premises (@p561 @p279))
18.36/18.58	(step @p281 :rule arith_mult_abs_comparison :premises (@p280 @p277))
18.36/18.58	(step @p282 :rule eq_resolve :premises (@p281 @p275))
18.36/18.58	(step @p283 :rule eq_resolve :premises (@p282 @p251))
18.36/18.58	(step-pop @p562 :rule scope :premises (@p283))
18.36/18.58	(step-pop @p563 :rule scope :premises (@p562))
18.36/18.58	(step @p284 :rule process_scope :premises (@p563) :args (@t86))
18.36/18.58	(step @p287 :rule eq_resolve :premises (@p284 @p248))
18.36/18.58	(step @p288 :rule implies_elim :premises (@p287))
18.36/18.58	(step @p289 :rule chain_resolution :premises (@p288 @p140) :args (@t105 (@list @t64)))
18.36/18.58	(step @p290 :rule refl :args (@t107))
18.36/18.58	(step @p291 :rule nary_cong :premises (@p133 @p290) :args ((or @t65 @t107)))
18.36/18.58	(step @p292 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 @t17)) (* -1/1 (- @t18 0)))))
18.36/18.58	(step @p293 :rule arith_poly_norm_rel :premises (@p292) :args ((= @t108 @t106)))
18.36/18.58	(step @p294 :rule arith-elim-leq :args (@t17 0/1))
18.36/18.58	(step @p295 :rule trans :premises (@p294 @p293))
18.36/18.58	(step @p296 :rule cong :premises (@p295) :args ((not (<= @t17 0/1))))
18.36/18.58	(step @p297 :rule symm :premises (@p294))
18.36/18.58	(step @p298 :rule cong :premises (@p297) :args ((not @t108)))
18.36/18.58	(step @p299 :rule arith-elim-gt :args (@t17 0/1))
18.36/18.58	(step @p300 :rule trans :premises (@p299 @p298))
18.36/18.58	(step @p301 :rule trans :premises (@p300 @p296))
18.36/18.58	(step @p302 :rule cong :premises (@p109 @p301) :args ((=> @t61 @t109)))
18.36/18.58	(step @p303 :rule arith_mult_sign :args (@t61 @t17))
18.36/18.58	(step @p304 :rule eq_resolve :premises (@p303 @p302))
18.36/18.58	(step @p305 :rule implies_elim :premises (@p304))
18.36/18.58	(step @p306 :rule eq_resolve :premises (@p305 @p291))
18.36/18.58	(step @p307 :rule chain_resolution :premises (@p306 @p132) :args (@t54 (@list @t60)))
18.36/18.58	(step @p308 :rule refl :args (@t84))
18.36/18.58	(step @p309 :rule bool-double-not-elim :args (@t106))
18.36/18.58	(step @p310 :rule nary_cong :premises (@p309 @p308) :args ((or (not @t107) @t84)))
18.36/18.58	(assume-push @p565 @t107)
18.36/18.58	(assume-push @p566 @t107)
18.36/18.58	(step @p313 :rule symm :premises (@p196))
18.36/18.58	(step @p314 :rule bool-double-not-elim :args (@t84))
18.36/18.58	(step @p315 :rule cong :premises (@p196) :args ((not @t85)))
18.36/18.58	(step @p316 :rule arith-elim-lt :args (@t17 0/1))
18.36/18.58	(step @p317 :rule trans :premises (@p316 @p315))
18.36/18.58	(step @p318 :rule cong :premises (@p317) :args ((not @t110)))
18.36/18.58	(step @p319 :rule trans :premises (@p318 @p314))
18.36/18.58	(step @p320 :rule trans :premises (@p319 @p313))
18.36/18.58	(assume-push @p567 @t110)
18.36/18.58	(step @p59 :rule evaluate :args (@t41))
18.36/18.58	(step @p322 :rule evaluate :args (@t111))
18.36/18.58	(step @p323 :rule evaluate :args (@t112))
18.36/18.58	(step @p324 :rule evaluate :args (@t113))
18.36/18.58	(step @p63 :rule refl :args (0/1))
18.36/18.58	(step @p325 :rule nary_cong :premises (@p63 @p324) :args (@t114))
18.36/18.58	(step @p326 :rule trans :premises (@p325 @p323))
18.36/18.58	(step @p327 :rule arith_poly_norm :args ((= (+ @t17 @t18) 0/1)))
18.36/18.58	(step @p328 :rule arith_poly_norm :args ((= @t115 @t18)))
18.36/18.58	(step @p329 :rule nary_cong :premises (@p174 @p328) :args (@t116))
18.36/18.58	(step @p330 :rule trans :premises (@p329 @p327))
18.36/18.58	(step @p331 :rule cong :premises (@p330 @p326) :args (@t117))
18.36/18.58	(step @p332 :rule trans :premises (@p331 @p322))
18.36/18.58	(step @p333 :rule cong :premises (@p332) :args ((not @t117)))
18.36/18.58	(step @p334 :rule trans :premises (@p333 @p59))
18.36/18.58	(step @p335 :rule arith-elim-lt :args (@t116 @t114))
18.36/18.58	(step @p336 :rule trans :premises (@p335 @p334))
18.36/18.58	(step @p337 :rule arith_mult_neg :args (-1/1 @t109))
18.36/18.58	(step @p338 :rule symm :premises (@p301))
18.36/18.58	(step @p339 :rule eq_resolve :premises (@p565 @p338))
18.36/18.58	(step @p78 :rule evaluate :args (@t52))
18.36/18.58	(step @p79 :rule true_elim :premises (@p78))
18.36/18.58	(step @p340 :rule and_intro :premises (@p79 @p339))
18.36/18.58	(step @p341 :rule modus_ponens :premises (@p340 @p337))
18.36/18.58	(step @p342 :rule arith_sum_ub :premises (@p567 @p341))
18.36/18.58	(step @p343 false :rule eq_resolve :premises (@p342 @p336))
18.36/18.58	(step-pop @p567 :rule scope :premises (@p343))
18.36/18.58	(step @p344 :rule process_scope :premises (@p567) :args (false))
18.36/18.58	(step @p346 :rule eq_resolve :premises (@p344 @p320))
18.36/18.58	(step @p347 :rule eq_resolve :premises (@p346 @p196))
18.36/18.58	(step-pop @p568 :rule scope :premises (@p347))
18.36/18.58	(step @p348 :rule process_scope :premises (@p568) :args (@t84))
18.36/18.58	(step @p350 :rule modus_ponens :premises (@p565 @p348))
18.36/18.58	(step-pop @p569 :rule scope :premises (@p350))
18.36/18.58	(step @p351 :rule process_scope :premises (@p569) :args (@t84))
18.36/18.58	(step @p353 :rule implies_elim :premises (@p351))
18.36/18.58	(step @p354 :rule eq_resolve :premises (@p353 @p310))
18.36/18.58	(step @p355 :rule chain_resolution :premises (@p354 @p307) :args (@t54 (@list @t106)))
18.36/18.58	(step @p356 :rule cnf_ite_pos1 :args (@t121))
18.36/18.58	(step @p357 :rule reordering :premises (@p356) :args ((or (not @t84) @t120 (not @t121))))
18.36/18.58	(step @p358 :rule chain_resolution :premises (@p357 @p355 @p289) :args (@t122 (@list @t84 @t121)))
18.36/18.58	(step @p359 :rule cnf_ite_pos1 :args (@t120))
18.36/18.58	(step @p360 :rule reordering :premises (@p359) :args ((or @t34 @t119 (not @t120))))
18.36/18.58	(step @p361 :rule chain_resolution :premises (@p360 @p101 @p358) :args (@t122 (@list @t33 @t120)))
18.36/18.58	(step @p362 :rule refl :args (@t68))
18.36/18.58	(step @p363 :rule bool-double-not-elim :args (@t81))
18.36/18.58	(step @p364 :rule nary_cong :premises (@p363 @p362) :args ((or (not @t119) @t68)))
18.36/18.58	(assume-push @p571 @t119)
18.36/18.58	(assume-push @p572 @t119)
18.36/18.58	(step @p367 :rule arith_poly_norm :args (@t123))
18.36/18.58	(step @p368 :rule arith_poly_norm_rel :premises (@p367) :args (@t125))
18.36/18.58	(step @p369 :rule arith-elim-leq :args (@t79 0/1))
18.36/18.58	(step @p370 :rule trans :premises (@p369 @p368))
18.36/18.58	(step @p371 :rule symm :premises (@p370))
18.36/18.58	(step @p372 :rule bool-double-not-elim :args (@t68))
18.36/18.58	(step @p373 :rule cong :premises (@p370) :args ((not (<= @t79 0/1))))
18.36/18.58	(step @p374 :rule symm :premises (@p369))
18.36/18.58	(step @p375 :rule cong :premises (@p374) :args ((not @t124)))
18.36/18.58	(step @p376 :rule arith-elim-gt :args (@t79 0/1))
18.36/18.58	(step @p377 :rule trans :premises (@p376 @p375))
18.36/18.58	(step @p378 :rule trans :premises (@p377 @p373))
18.36/18.58	(step @p379 :rule cong :premises (@p378) :args ((not @t126)))
18.36/18.58	(step @p380 :rule trans :premises (@p379 @p372))
18.36/18.58	(step @p381 :rule trans :premises (@p380 @p371))
18.36/18.58	(assume-push @p573 @t126)
18.36/18.58	(step @p59 :rule evaluate :args (@t41))
18.36/18.58	(step @p322 :rule evaluate :args (@t111))
18.36/18.58	(step @p323 :rule evaluate :args (@t112))
18.36/18.58	(step @p63 :rule refl :args (0/1))
18.36/18.58	(step @p324 :rule evaluate :args (@t113))
18.36/18.58	(step @p383 :rule nary_cong :premises (@p324 @p63) :args (@t127))
18.36/18.58	(step @p384 :rule trans :premises (@p383 @p323))
18.36/18.58	(step @p385 :rule arith_poly_norm :args ((= @t128 0/1)))
18.36/18.58	(step @p386 :rule arith_poly_norm :args (@t130))
18.36/18.58	(step @p387 :rule nary_cong :premises (@p386 @p385) :args (@t131))
18.36/18.58	(step @p388 :rule trans :premises (@p387 @p323))
18.36/18.58	(step @p389 :rule arith_poly_norm :args ((= @t132 @t131)))
18.36/18.58	(step @p390 :rule trans :premises (@p389 @p388))
18.36/18.58	(step @p391 :rule cong :premises (@p390 @p384) :args (@t133))
18.36/18.58	(step @p392 :rule trans :premises (@p391 @p322))
18.36/18.58	(step @p393 :rule cong :premises (@p392) :args ((not @t133)))
18.36/18.58	(step @p394 :rule trans :premises (@p393 @p59))
18.36/18.58	(step @p395 :rule arith-elim-lt :args (@t132 @t127))
18.36/18.58	(step @p396 :rule trans :premises (@p395 @p394))
18.36/18.58	(step @p397 :rule arith_poly_norm :args ((= (* 1/1 (- @t79 0/1)) @t80)))
18.36/18.58	(step @p398 :rule arith_poly_norm_rel :premises (@p397) :args ((= @t134 @t81)))
18.36/18.58	(step @p399 :rule cong :premises (@p398) :args ((not @t134)))
18.36/18.58	(step @p400 :rule arith-elim-lt :args (@t79 0/1))
18.36/18.58	(step @p401 :rule trans :premises (@p400 @p399))
18.36/18.58	(step @p402 :rule symm :premises (@p401))
18.36/18.58	(step @p403 :rule eq_resolve :premises (@p571 @p402))
18.36/18.58	(step @p404 :rule arith_mult_neg :args (-1/1 @t126))
18.36/18.58	(step @p78 :rule evaluate :args (@t52))
18.36/18.58	(step @p79 :rule true_elim :premises (@p78))
18.36/18.58	(step @p405 :rule and_intro :premises (@p79 @p573))
18.36/18.58	(step @p406 :rule modus_ponens :premises (@p405 @p404))
18.36/18.58	(step @p407 :rule arith_sum_ub :premises (@p406 @p403))
18.36/18.58	(step @p408 false :rule eq_resolve :premises (@p407 @p396))
18.36/18.58	(step-pop @p573 :rule scope :premises (@p408))
18.36/18.58	(step @p409 :rule process_scope :premises (@p573) :args (false))
18.36/18.58	(step @p411 :rule eq_resolve :premises (@p409 @p381))
18.36/18.58	(step @p412 :rule eq_resolve :premises (@p411 @p370))
18.36/18.58	(step-pop @p574 :rule scope :premises (@p412))
18.36/18.58	(step @p413 :rule process_scope :premises (@p574) :args (@t68))
18.36/18.58	(step @p415 :rule modus_ponens :premises (@p571 @p413))
18.36/18.58	(step-pop @p575 :rule scope :premises (@p415))
18.36/18.58	(step @p416 :rule process_scope :premises (@p575) :args (@t68))
18.36/18.58	(step @p418 :rule implies_elim :premises (@p416))
18.36/18.58	(step @p419 :rule eq_resolve :premises (@p418 @p364))
18.36/18.58	(step @p420 :rule chain_resolution :premises (@p419 @p361) :args (@t54 (@list @t81)))
18.36/18.58	(step @p421 :rule bool-impl-elim :args (@t136 @t138))
18.36/18.58	(step @p422 :rule cong :premises (@p421) :args ((forall @t15 (=> @t136 @t138))))
18.36/18.58	(step @p423 :rule arith_poly_norm :args ((= (* 1/1 (- @t11 @t9)) (* 1/1 (- @t137 0)))))
18.36/18.58	(step @p424 :rule arith_poly_norm_rel :premises (@p423) :args ((= @t12 @t138)))
18.36/18.58	(step @p425 :rule arith_poly_norm :args ((= (* 1/1 (- @t10 @t8)) (* 1/1 (- @t135 0)))))
18.36/18.58	(step @p426 :rule arith_poly_norm_rel :premises (@p425) :args ((= @t13 @t136)))
18.36/18.58	(step @p427 :rule cong :premises (@p426 @p424) :args (@t14))
18.36/18.58	(step @p428 :rule cong :premises (@p427) :args (@t16))
18.36/18.58	(step @p429 :rule trans :premises (@p428 @p422))
18.36/18.58	(step @p430 :rule eq_resolve :premises (@p5 @p429))
18.36/18.58	(step @p431 :rule refl :args (0))
18.36/18.58	(step @p432 :rule arith_poly_norm :args ((= @t141 @t140)))
18.36/18.58	(step @p433 :rule cong :premises (@p432 @p431) :args (@t142))
18.36/18.58	(step @p434 :rule arith_poly_norm :args ((= @t145 @t144)))
18.36/18.58	(step @p435 :rule cong :premises (@p434 @p431) :args (@t146))
18.36/18.58	(step @p436 :rule cong :premises (@p435) :args (@t147))
18.36/18.58	(step @p437 :rule nary_cong :premises (@p436 @p433) :args (@t148))
18.36/18.58	(step @p438 :rule refl :args (@t149))
18.36/18.58	(step @p439 :rule cong :premises (@p438 @p437) :args ((=> @t149 @t148)))
18.36/18.58	(assume-push @p577 @t149)
18.36/18.58	(step @p441 :rule instantiate :premises (@p430) :args ((@list tptp.y tptp.x)))
18.36/18.58	(step-pop @p577 :rule scope :premises (@p441))
18.36/18.58	(step @p442 :rule process_scope :premises (@p577) :args (@t148))
18.36/18.58	(step @p444 :rule eq_resolve :premises (@p442 @p439))
18.36/18.58	(step @p445 :rule implies_elim :premises (@p444))
18.36/18.58	(step @p446 :rule chain_resolution :premises (@p445 @p430) :args (@t105 (@list @t149)))
18.36/18.58	(step @p447 :rule arith_poly_norm :args ((= (* -1/1 (- tptp.y tptp.x)) (* -1/1 (- @t144 0)))))
18.36/18.58	(step @p448 :rule arith_poly_norm_rel :premises (@p447) :args ((= (>= tptp.y tptp.x) @t150)))
18.36/18.58	(step @p449 :rule arith-elim-leq :args (tptp.x tptp.y))
18.36/18.58	(step @p450 :rule trans :premises (@p449 @p448))
18.36/18.58	(step @p451 :rule eq_resolve :premises (@p1 @p450))
18.36/18.58	(step @p452 :rule cnf_or_pos :args (@t153))
18.36/18.58	(step @p453 :rule reordering :premises (@p452) :args ((or @t152 @t151 (not @t153))))
18.36/18.58	(step @p454 :rule chain_resolution :premises (@p453 @p451 @p446) :args (@t122 @t154))
18.36/18.58	(step @p455 :rule refl :args (@t155))
18.36/18.58	(step @p456 :rule refl :args (@t118))
18.36/18.58	(step @p457 :rule bool-double-not-elim :args (@t29))
18.36/18.58	(step @p458 :rule refl :args (@t156))
18.36/18.58	(step @p459 :rule nary_cong :premises (@p458 @p457 @p456 @p455) :args ((or @t156 (not @t157) @t118 @t155)))
18.36/18.58	(assume-push @p579 @t68)
18.36/18.58	(assume-push @p580 @t157)
18.36/18.58	(assume-push @p581 @t21)
18.36/18.58	(assume-push @p582 @t151)
18.36/18.58	(step @p464 :rule arith-elim-leq :args (@t158 0/1))
18.36/18.58	(step @p465 :rule symm :premises (@p464))
18.36/18.58	(step @p466 :rule cong :premises (@p465) :args ((not @t159)))
18.36/18.58	(step @p467 :rule arith-elim-gt :args (@t158 0/1))
18.36/18.58	(step @p468 :rule trans :premises (@p467 @p466))
18.36/18.58	(step @p469 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 @t158)) (* -1/1 (- @t140 0)))))
18.36/18.58	(step @p470 :rule arith_poly_norm_rel :premises (@p469) :args ((= @t159 @t151)))
18.36/18.58	(step @p471 :rule trans :premises (@p464 @p470))
18.36/18.58	(step @p472 :rule cong :premises (@p471) :args ((not @t160)))
18.36/18.58	(step @p473 :rule trans :premises (@p468 @p472))
18.36/18.58	(step @p474 :rule symm :premises (@p473))
18.36/18.58	(step @p475 :rule trans :premises (@p472 @p474))
18.36/18.58	(assume-push @p583 @t160)
18.36/18.58	(step @p59 :rule evaluate :args (@t41))
18.36/18.58	(step @p322 :rule evaluate :args (@t111))
18.36/18.58	(step @p477 :rule evaluate :args ((+ 0/1 0/1 0/1 0/1)))
18.36/18.58	(step @p63 :rule refl :args (0/1))
18.36/18.58	(step @p324 :rule evaluate :args (@t113))
18.36/18.58	(step @p478 :rule nary_cong :premises (@p63 @p324 @p63 @p63) :args (@t161))
18.36/18.58	(step @p479 :rule trans :premises (@p478 @p477))
18.36/18.58	(step @p480 :rule arith_poly_norm :args ((= (+ 0/1 0/1 @t26 0/1 tptp.v 0/1) 0/1)))
18.36/18.58	(step @p481 :rule arith_poly_norm :args ((= @t162 0/1)))
18.36/18.58	(step @p482 :rule arith_poly_norm :args ((= @t163 0/1)))
18.36/18.58	(step @p483 :rule refl :args (@t26))
18.36/18.58	(step @p484 :rule arith_poly_norm :args ((= @t164 0/1)))
18.36/18.58	(step @p386 :rule arith_poly_norm :args (@t130))
18.36/18.58	(step @p485 :rule nary_cong :premises (@p386 @p484 @p483 @p482 @p68 @p481) :args (@t165))
18.36/18.58	(step @p486 :rule trans :premises (@p485 @p480))
18.36/18.58	(step @p487 :rule arith_poly_norm :args ((= @t166 @t165)))
18.36/18.58	(step @p488 :rule trans :premises (@p487 @p486))
18.36/18.58	(step @p489 :rule cong :premises (@p488 @p479) :args (@t167))
18.36/18.58	(step @p490 :rule trans :premises (@p489 @p322))
18.36/18.58	(step @p491 :rule cong :premises (@p490) :args ((not @t167)))
18.36/18.58	(step @p492 :rule trans :premises (@p491 @p59))
18.36/18.58	(step @p493 :rule arith-elim-lt :args (@t166 @t161))
18.36/18.58	(step @p494 :rule trans :premises (@p493 @p492))
18.36/18.58	(step @p367 :rule arith_poly_norm :args (@t123))
18.36/18.58	(step @p368 :rule arith_poly_norm_rel :premises (@p367) :args (@t125))
18.36/18.58	(step @p369 :rule arith-elim-leq :args (@t79 0/1))
18.36/18.58	(step @p370 :rule trans :premises (@p369 @p368))
18.36/18.58	(step @p371 :rule symm :premises (@p370))
18.36/18.58	(step @p495 :rule eq_resolve :premises (@p579 @p371))
18.36/18.58	(step @p496 :rule arith_poly_norm :args ((= (* 1/1 (- @t27 0/1)) @t28)))
18.36/18.58	(step @p497 :rule arith_poly_norm_rel :premises (@p496) :args ((= @t168 @t29)))
18.36/18.58	(step @p498 :rule cong :premises (@p497) :args ((not @t168)))
18.36/18.58	(step @p499 :rule arith-elim-lt :args (@t27 0/1))
18.36/18.58	(step @p500 :rule trans :premises (@p499 @p498))
18.36/18.58	(step @p501 :rule symm :premises (@p500))
18.36/18.58	(step @p502 :rule eq_resolve :premises (@p29 @p501))
18.36/18.58	(step @p503 :rule arith_mult_neg :args (-1/1 @t169))
18.36/18.58	(step @p504 :rule arith_poly_norm :args ((= (* 1/1 (- @t20 0/1)) @t22)))
18.36/18.58	(step @p505 :rule arith_poly_norm_rel :premises (@p504) :args ((= @t169 @t21)))
18.36/18.58	(step @p506 :rule symm :premises (@p505))
18.36/18.58	(step @p507 :rule eq_resolve :premises (@p23 @p506))
18.36/18.58	(step @p78 :rule evaluate :args (@t52))
18.36/18.58	(step @p79 :rule true_elim :premises (@p78))
18.36/18.58	(step @p508 :rule and_intro :premises (@p79 @p507))
18.36/18.58	(step @p509 :rule modus_ponens :premises (@p508 @p503))
18.36/18.58	(step @p510 :rule symm :premises (@p471))
18.36/18.58	(step @p511 :rule chain_resolution :premises (@p453 @p451 @p446) :args (@t122 @t154))
18.36/18.58	(step @p512 :rule eq_resolve :premises (@p511 @p510))
18.36/18.58	(step @p513 :rule arith_sum_ub :premises (@p512 @p509 @p502 @p495))
18.36/18.58	(step @p514 false :rule eq_resolve :premises (@p513 @p494))
18.36/18.58	(step-pop @p583 :rule scope :premises (@p514))
18.36/18.58	(step @p515 :rule process_scope :premises (@p583) :args (false))
18.36/18.58	(step @p517 :rule eq_resolve :premises (@p515 @p475))
18.36/18.58	(step @p518 :rule eq_resolve :premises (@p517 @p468))
18.36/18.58	(step @p510 :rule symm :premises (@p471))
18.36/18.58	(step @p519 :rule eq_resolve :premises (@p454 @p510))
18.36/18.58	(step @p520 false :rule contra :premises (@p519 @p518))
18.36/18.58	(step-pop @p584 :rule scope :premises (@p520))
18.36/18.58	(step-pop @p585 :rule scope :premises (@p584))
18.36/18.58	(step-pop @p586 :rule scope :premises (@p585))
18.36/18.58	(step-pop @p587 :rule scope :premises (@p586))
18.36/18.58	(step @p521 :rule process_scope :premises (@p587) :args (false))
18.36/18.58	(assume-push @p589 @t21)
18.36/18.58	(assume-push @p590 @t157)
18.36/18.58	(assume-push @p591 @t68)
18.36/18.58	(assume-push @p592 @t151)
18.36/18.58	(step @p530 :rule and_intro :premises (@p591 @p29 @p23 @p454))
18.36/18.58	(step-pop @p592 :rule scope :premises (@p530))
18.36/18.58	(step-pop @p593 :rule scope :premises (@p592))
18.36/18.58	(step-pop @p594 :rule scope :premises (@p593))
18.36/18.58	(step-pop @p595 :rule scope :premises (@p594))
18.36/18.58	(step @p531 :rule process_scope :premises (@p595) :args (@t170))
18.36/18.58	(step @p536 :rule implies_elim :premises (@p531))
18.36/18.58	(step @p537 :rule resolution :premises (@p536 @p521) :args (true @t170))
18.36/18.58	(step @p538 :rule not_and :premises (@p537))
18.36/18.58	(step @p539 :rule eq_resolve :premises (@p538 @p459))
18.36/18.58	(step @p540 false :rule chain_resolution :premises (@p539 @p454 @p420 @p29 @p23) :args ((@list false false true false) (@list @t151 @t68 @t29 @t21)))
18.36/18.58	)
18.36/18.58	% SZS output end Proof
18.36/18.58	% cvc5 exiting
18.36/18.58	EOF