0.03/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.13	% 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
0.13/0.34	% WCLimit  : 120
0.13/0.34	% DateTime : Fri Sep  5 12:41:07 EDT 2025
0.13/0.34	% CPUTime  : 
0.20/0.48	%----Proving TF0_ARI
42.45/42.67	--- Run --finite-model-find --decision=internal at 18...
42.45/42.67	--- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 24...
42.45/42.67	--- Run --no-e-matching --full-saturate-quant at 18...
42.45/42.67	--- Run --cegqi-all --purify-triggers --full-saturate-quant at 18...
42.45/42.67	% SZS status Theorem
42.45/42.67	% SZS output start Proof
42.45/42.67	(
42.45/42.67	(declare-const tptp.a Int)
42.45/42.67	(declare-const tptp.p (-> Int Bool))
42.45/42.67	(define @t1 () (@var "X" Int))
42.45/42.67	(define @t2 () (tptp.p (* 2 @t1)))
42.45/42.67	(define @t3 () (@list @t1))
42.45/42.67	(define @t4 () (exists @t3 @t2))
42.45/42.67	(define @t5 () (* 3 tptp.a))
42.45/42.67	(define @t6 () (+ @t5 1))
42.45/42.67	(define @t7 () (tptp.p @t6))
42.45/42.67	(define @t8 () (tptp.p tptp.a))
42.45/42.67	(define @t9 () (and @t8 @t7))
42.45/42.67	(define @t10 () (=> @t9 @t4))
42.45/42.67	(define @t11 () (not @t10))
42.45/42.67	(define @t12 () (div_total tptp.a 2))
42.45/42.67	(define @t13 () (@purify @t12))
42.45/42.67	(define @t14 () (* -2 @t13))
42.45/42.67	(define @t15 () (+ tptp.a @t14))
42.45/42.67	(define @t16 () (* 2 @t13))
42.45/42.67	(define @t17 () (+ 2 @t16))
42.45/42.67	(define @t18 () (>= @t15 2))
42.45/42.67	(define @t19 () (+ 1 @t13))
42.45/42.67	(define @t20 () (+ @t13 1))
42.45/42.67	(define @t21 () (* 2 @t20))
42.45/42.67	(define @t22 () (>= tptp.a @t21))
42.45/42.67	(define @t23 () (* 1 (- @t15 0)))
42.45/42.67	(define @t24 () (* 1 (- tptp.a @t16)))
42.45/42.67	(define @t25 () (>= @t15 0))
42.45/42.67	(define @t26 () (+ 1 @t5))
42.45/42.67	(define @t27 () (div_total @t26 2))
42.45/42.67	(define @t28 () (@purify @t27))
42.45/42.67	(define @t29 () (* -2 @t28))
42.45/42.67	(define @t30 () (+ @t5 @t29))
42.45/42.67	(define @t31 () (* 2 @t28))
42.45/42.67	(define @t32 () (+ 2 @t31))
42.45/42.67	(define @t33 () (>= @t30 1))
42.45/42.67	(define @t34 () (+ 1 @t28))
42.45/42.67	(define @t35 () (+ @t28 1))
42.45/42.67	(define @t36 () (* 2 @t35))
42.45/42.67	(define @t37 () (>= @t26 @t36))
42.45/42.67	(define @t38 () (- @t30 -1))
42.45/42.67	(define @t39 () (>= @t30 -1))
42.45/42.67	(define @t40 () (forall @t3 (not @t2)))
42.45/42.67	(define @t41 () (* 2 @t12))
42.45/42.67	(define @t42 () (tptp.p @t41))
42.45/42.67	(define @t43 () (not @t42))
42.45/42.67	(define @t44 () (@list false))
42.45/42.67	(define @t45 () (@list @t40))
42.45/42.67	(define @t46 () (= tptp.a @t16))
42.45/42.67	(define @t47 () (not @t46))
42.45/42.67	(define @t48 () (tptp.p @t16))
42.45/42.67	(define @t49 () (not @t8))
42.45/42.67	(define @t50 () (not @t48))
42.45/42.67	(define @t51 () (= false true))
42.45/42.67	(define @t52 () (and @t8 @t46 @t50))
42.45/42.67	(define @t53 () (@list false true))
42.45/42.67	(define @t54 () (>= @t15 1))
42.45/42.67	(define @t55 () (not @t25))
42.45/42.67	(define @t56 () (= @t15 0))
42.45/42.67	(define @t57 () (and @t25 @t47))
42.45/42.67	(define @t58 () (* 2 @t27))
42.45/42.67	(define @t59 () (tptp.p @t58))
42.45/42.67	(define @t60 () (not @t59))
42.45/42.67	(define @t61 () (= @t31 @t26))
42.45/42.67	(define @t62 () (not @t61))
42.45/42.67	(define @t63 () (tptp.p @t31))
42.45/42.67	(define @t64 () (tptp.p @t26))
42.45/42.67	(define @t65 () (not @t64))
42.45/42.67	(define @t66 () (not @t63))
42.45/42.67	(define @t67 () (= @t26 @t31))
42.45/42.67	(define @t68 () (and @t64 @t67 @t66))
42.45/42.67	(define @t69 () (>= @t30 0))
42.45/42.67	(define @t70 () (not @t39))
42.45/42.67	(define @t71 () (= @t30 -1))
42.45/42.67	(define @t72 () (and @t39 @t62))
42.45/42.67	(define @t73 () (not @t69))
42.45/42.67	(define @t74 () (not @t54))
42.45/42.67	(define @t75 () (not @t33))
42.45/42.67	(define @t76 () (not @t18))
42.45/42.67	(define @t77 () (+ (* 3 @t13) (* -1 @t28)))
42.45/42.67	(define @t78 () (* 6 @t13))
42.45/42.67	(define @t79 () (+ 3 @t78 @t29))
42.45/42.67	(define @t80 () (+ 3 @t78))
42.45/42.67	(define @t81 () (+ 1 @t16))
42.45/42.67	(define @t82 () (* -1 (+ -1 @t14)))
42.45/42.67	(define @t83 () (* 3 @t82))
42.45/42.67	(define @t84 () (+ @t83 @t29))
42.45/42.67	(define @t85 () (>= @t84 1))
42.45/42.67	(define @t86 () (+ 1 1))
42.45/42.67	(define @t87 () (>= @t15 @t86))
42.45/42.67	(define @t88 () (not (> @t15 1)))
42.45/42.67	(define @t89 () (to_int -3/2))
42.45/42.67	(define @t90 () (to_real @t77))
42.45/42.67	(define @t91 () (and @t76 @t54 @t75 @t69))
42.45/42.67	(assume @p1 @t11)
42.45/42.67	(assume @p2 true)
42.45/42.67	(step @p3 :rule arith_poly_norm :args ((= (* -2 (- tptp.a @t17)) (* -2 (- @t15 2)))))
42.45/42.67	(step @p4 :rule arith_poly_norm_rel :premises (@p3) :args ((= (>= tptp.a @t17) @t18)))
42.45/42.67	(step @p5 :rule arith_poly_norm :args ((= (* 2 @t19) @t17)))
42.45/42.67	(step @p6 :rule arith_poly_norm :args ((= @t20 @t19)))
42.45/42.67	(step @p7 :rule refl :args (2))
42.45/42.67	(step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t21))
42.45/42.67	(step @p9 :rule trans :premises (@p8 @p5))
42.45/42.67	(step @p10 :rule refl :args (tptp.a))
42.45/42.67	(step @p11 :rule cong :premises (@p10 @p9) :args (@t22))
42.45/42.67	(step @p12 :rule trans :premises (@p11 @p4))
42.45/42.67	(step @p13 :rule cong :premises (@p12) :args ((not @t22)))
42.45/42.67	(step @p14 :rule arith-elim-lt :args (tptp.a @t21))
42.45/42.67	(step @p15 :rule trans :premises (@p14 @p13))
42.45/42.67	(step @p16 :rule arith_poly_norm :args ((= @t24 @t23)))
42.45/42.67	(step @p17 :rule arith_poly_norm_rel :premises (@p16) :args ((= (>= tptp.a @t16) @t25)))
42.45/42.67	(step @p18 :rule arith-elim-leq :args (@t16 tptp.a))
42.45/42.67	(step @p19 :rule trans :premises (@p18 @p17))
42.45/42.67	(step @p20 :rule nary_cong :premises (@p19 @p15) :args ((and (<= @t16 tptp.a) (< tptp.a @t21))))
42.45/42.67	(step @p21 :rule arith_reduction :args (@t12))
42.45/42.67	(step @p22 :rule and_elim :premises (@p21) :args (1))
42.45/42.67	(step @p23 :rule eq_resolve :premises (@p22 @p20))
42.45/42.67	(step @p24 :rule and_elim :premises (@p23) :args (1))
42.45/42.67	(step @p25 :rule arith_poly_norm :args ((= (* -1 (- @t26 @t32)) (* -1 (- @t30 1)))))
42.45/42.67	(step @p26 :rule arith_poly_norm_rel :premises (@p25) :args ((= (>= @t26 @t32) @t33)))
42.45/42.67	(step @p27 :rule arith_poly_norm :args ((= (* 2 @t34) @t32)))
42.45/42.67	(step @p28 :rule arith_poly_norm :args ((= @t35 @t34)))
42.45/42.67	(step @p29 :rule nary_cong :premises (@p7 @p28) :args (@t36))
42.45/42.67	(step @p30 :rule trans :premises (@p29 @p27))
42.45/42.67	(step @p31 :rule refl :args (@t26))
42.45/42.67	(step @p32 :rule cong :premises (@p31 @p30) :args (@t37))
42.45/42.67	(step @p33 :rule trans :premises (@p32 @p26))
42.45/42.67	(step @p34 :rule cong :premises (@p33) :args ((not @t37)))
42.45/42.67	(step @p35 :rule arith-elim-lt :args (@t26 @t36))
42.45/42.67	(step @p36 :rule trans :premises (@p35 @p34))
42.45/42.67	(step @p37 :rule arith_poly_norm :args ((= (* 1 (- @t26 @t31)) (* 1 @t38))))
42.45/42.67	(step @p38 :rule arith_poly_norm_rel :premises (@p37) :args ((= (>= @t26 @t31) @t39)))
42.45/42.67	(step @p39 :rule arith-elim-leq :args (@t31 @t26))
42.45/42.67	(step @p40 :rule trans :premises (@p39 @p38))
42.45/42.67	(step @p41 :rule nary_cong :premises (@p40 @p36) :args ((and (<= @t31 @t26) (< @t26 @t36))))
42.45/42.67	(step @p42 :rule arith_reduction :args (@t27))
42.45/42.67	(step @p43 :rule and_elim :premises (@p42) :args (1))
42.45/42.67	(step @p44 :rule eq_resolve :premises (@p43 @p41))
42.45/42.67	(step @p45 :rule and_elim :premises (@p44) :args (1))
42.45/42.67	(step @p46 :rule exists-elim :args ((= @t4 (not @t40))))
42.45/42.67	(step @p47 :rule arith_poly_norm :args ((= @t6 @t26)))
42.45/42.67	(step @p48 :rule cong :premises (@p47) :args (@t7))
42.45/42.67	(step @p49 :rule refl :args (@t8))
42.45/42.67	(step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t9))
42.45/42.67	(step @p51 :rule cong :premises (@p50 @p46) :args (@t10))
42.45/42.67	(step @p52 :rule cong :premises (@p51) :args (@t11))
42.45/42.67	(step @p53 :rule eq_resolve :premises (@p1 @p52))
42.45/42.67	(step @p54 :rule not_implies_elim2 :premises (@p53))
42.45/42.67	(step @p55 :rule not_not_elim :premises (@p54))
42.45/42.67	(step @p56 :rule and_elim :premises (@p21) :args (0))
42.45/42.67	(step @p57 :rule nary_cong :premises (@p7 @p56) :args (@t41))
42.45/42.67	(step @p58 :rule cong :premises (@p57) :args (@t42))
42.45/42.67	(step @p59 :rule cong :premises (@p58) :args (@t43))
42.45/42.67	(step @p60 :rule refl :args (@t40))
42.45/42.67	(step @p61 :rule cong :premises (@p60 @p59) :args ((=> @t40 @t43)))
42.45/42.67	(assume-push @p305 @t40)
42.45/42.67	(step @p63 :rule instantiate :premises (@p55) :args ((@list @t12)))
42.45/42.67	(step-pop @p305 :rule scope :premises (@p63))
42.45/42.67	(step @p64 :rule process_scope :premises (@p305) :args (@t43))
42.45/42.67	(step @p66 :rule eq_resolve :premises (@p64 @p61))
42.45/42.67	(step @p67 :rule implies_elim :premises (@p66))
42.45/42.67	(step @p68 :rule chain_resolution :premises (@p67 @p55) :args (@t44 @t45))
42.45/42.67	(step @p69 :rule not_implies_elim1 :premises (@p53))
42.45/42.67	(step @p70 :rule and_elim :premises (@p69) :args (0))
42.45/42.67	(step @p71 :rule refl :args (@t47))
42.45/42.67	(step @p72 :rule bool-double-not-elim :args (@t48))
42.45/42.67	(step @p73 :rule refl :args (@t49))
42.45/42.67	(step @p74 :rule nary_cong :premises (@p73 @p72 @p71) :args ((or @t49 (not @t50) @t47)))
42.45/42.67	(assume-push @p307 @t8)
42.45/42.67	(assume-push @p308 @t46)
42.45/42.67	(assume-push @p309 @t50)
42.45/42.67	(step @p78 :rule evaluate :args (@t51))
42.45/42.67	(step @p79 :rule true_intro :premises (@p70))
42.45/42.67	(step @p80 :rule symm :premises (@p308))
42.45/42.67	(step @p81 :rule cong :premises (@p80) :args (@t48))
42.45/42.67	(step @p82 :rule false_intro :premises (@p68))
42.45/42.67	(step @p83 :rule symm :premises (@p82))
42.45/42.67	(step @p84 :rule trans :premises (@p83 @p81 @p79))
42.45/42.67	(step @p85 false :rule eq_resolve :premises (@p84 @p78))
42.45/42.67	(step-pop @p309 :rule scope :premises (@p85))
42.45/42.67	(step-pop @p310 :rule scope :premises (@p309))
42.45/42.67	(step-pop @p311 :rule scope :premises (@p310))
42.45/42.67	(step @p86 :rule process_scope :premises (@p311) :args (false))
42.45/42.67	(assume-push @p313 @t8)
42.45/42.67	(assume-push @p314 @t50)
42.45/42.67	(assume-push @p315 @t46)
42.45/42.67	(step @p93 :rule and_intro :premises (@p70 @p315 @p68))
42.45/42.67	(step-pop @p315 :rule scope :premises (@p93))
42.45/42.67	(step-pop @p316 :rule scope :premises (@p315))
42.45/42.67	(step-pop @p317 :rule scope :premises (@p316))
42.45/42.67	(step @p94 :rule process_scope :premises (@p317) :args (@t52))
42.45/42.67	(step @p98 :rule implies_elim :premises (@p94))
42.45/42.67	(step @p99 :rule resolution :premises (@p98 @p86) :args (true @t52))
42.45/42.67	(step @p100 :rule not_and :premises (@p99))
42.45/42.67	(step @p101 :rule eq_resolve :premises (@p100 @p74))
42.45/42.67	(step @p102 :rule chain_resolution :premises (@p101 @p70 @p68) :args (@t53 (@list @t8 @t48)))
42.45/42.67	(step @p103 :rule and_elim :premises (@p23) :args (0))
42.45/42.67	(step @p104 :rule refl :args (@t54))
42.45/42.67	(step @p105 :rule bool-double-not-elim :args (@t46))
42.45/42.67	(step @p106 :rule refl :args (@t55))
42.45/42.67	(step @p107 :rule nary_cong :premises (@p106 @p105 @p104) :args ((or @t55 (not @t47) @t54)))
42.45/42.67	(assume-push @p319 @t25)
42.45/42.67	(assume-push @p320 @t47)
42.45/42.67	(assume-push @p321 @t25)
42.45/42.67	(assume-push @p322 @t47)
42.45/42.67	(step @p112 :rule arith_poly_norm :args ((= @t23 @t24)))
42.45/42.67	(step @p113 :rule arith_poly_norm_rel :premises (@p112) :args ((= @t56 @t46)))
42.45/42.67	(step @p114 :rule cong :premises (@p113) :args ((not @t56)))
42.45/42.67	(step @p115 :rule symm :premises (@p114))
42.45/42.67	(step @p116 :rule eq_resolve :premises (@p320 @p115))
42.45/42.67	(step @p117 :rule arith_trichotomy :premises (@p103 @p116))
42.45/42.67	(step @p118 :rule int_tight_lb :premises (@p117))
42.45/42.67	(step-pop @p322 :rule scope :premises (@p118))
42.45/42.67	(step-pop @p323 :rule scope :premises (@p322))
42.45/42.67	(step @p119 :rule process_scope :premises (@p323) :args (@t54))
42.45/42.67	(step @p122 :rule and_intro :premises (@p103 @p320))
42.45/42.67	(step @p123 :rule modus_ponens :premises (@p122 @p119))
42.45/42.67	(step-pop @p324 :rule scope :premises (@p123))
42.45/42.67	(step-pop @p325 :rule scope :premises (@p324))
42.45/42.67	(step @p124 :rule process_scope :premises (@p325) :args (@t54))
42.45/42.67	(step @p127 :rule implies_elim :premises (@p124))
42.45/42.67	(step @p128 :rule cnf_and_neg :args (@t57))
42.45/42.67	(step @p129 :rule resolution :premises (@p128 @p127) :args (true @t57))
42.45/42.67	(step @p130 :rule eq_resolve :premises (@p129 @p107))
42.45/42.67	(step @p131 :rule chain_resolution :premises (@p130 @p103 @p102) :args (@t53 (@list @t25 @t46)))
42.45/42.67	(step @p132 :rule and_elim :premises (@p42) :args (0))
42.45/42.67	(step @p133 :rule nary_cong :premises (@p7 @p132) :args (@t58))
42.45/42.67	(step @p134 :rule cong :premises (@p133) :args (@t59))
42.45/42.67	(step @p135 :rule cong :premises (@p134) :args (@t60))
42.45/42.67	(step @p136 :rule cong :premises (@p60 @p135) :args ((=> @t40 @t60)))
42.45/42.67	(assume-push @p327 @t40)
42.45/42.67	(step @p138 :rule instantiate :premises (@p55) :args ((@list @t27)))
42.45/42.67	(step-pop @p327 :rule scope :premises (@p138))
42.45/42.67	(step @p139 :rule process_scope :premises (@p327) :args (@t60))
42.45/42.67	(step @p141 :rule eq_resolve :premises (@p139 @p136))
42.45/42.67	(step @p142 :rule implies_elim :premises (@p141))
42.45/42.67	(step @p143 :rule chain_resolution :premises (@p142 @p55) :args (@t44 @t45))
42.45/42.67	(step @p144 :rule and_elim :premises (@p69) :args (1))
42.45/42.67	(step @p145 :rule refl :args (@t62))
42.45/42.67	(step @p146 :rule bool-double-not-elim :args (@t63))
42.45/42.67	(step @p147 :rule refl :args (@t65))
42.45/42.67	(step @p148 :rule nary_cong :premises (@p147 @p146 @p145) :args ((or @t65 (not @t66) @t62)))
42.45/42.67	(assume-push @p329 @t64)
42.45/42.67	(assume-push @p330 @t67)
42.45/42.67	(assume-push @p331 @t66)
42.45/42.67	(step @p78 :rule evaluate :args (@t51))
42.45/42.67	(step @p152 :rule true_intro :premises (@p144))
42.45/42.67	(step @p153 :rule symm :premises (@p330))
42.45/42.67	(step @p154 :rule cong :premises (@p153) :args (@t63))
42.45/42.67	(step @p155 :rule false_intro :premises (@p143))
42.45/42.67	(step @p156 :rule symm :premises (@p155))
42.45/42.67	(step @p157 :rule trans :premises (@p156 @p154 @p152))
42.45/42.67	(step @p158 false :rule eq_resolve :premises (@p157 @p78))
42.45/42.67	(step-pop @p331 :rule scope :premises (@p158))
42.45/42.67	(step-pop @p332 :rule scope :premises (@p331))
42.45/42.67	(step-pop @p333 :rule scope :premises (@p332))
42.45/42.67	(step @p159 :rule process_scope :premises (@p333) :args (false))
42.45/42.67	(assume-push @p335 @t64)
42.45/42.67	(assume-push @p336 @t66)
42.45/42.67	(assume-push @p337 @t61)
42.45/42.67	(assume-push @p338 @t61)
42.45/42.67	(step @p167 :rule symm :premises (@p337))
42.45/42.67	(step-pop @p338 :rule scope :premises (@p167))
42.45/42.67	(step @p168 :rule process_scope :premises (@p338) :args (@t67))
42.45/42.67	(step @p170 :rule modus_ponens :premises (@p337 @p168))
42.45/42.67	(step @p171 :rule and_intro :premises (@p144 @p170 @p143))
42.45/42.67	(step-pop @p339 :rule scope :premises (@p171))
42.45/42.67	(step-pop @p340 :rule scope :premises (@p339))
42.45/42.67	(step-pop @p341 :rule scope :premises (@p340))
42.45/42.67	(step @p172 :rule process_scope :premises (@p341) :args (@t68))
42.45/42.67	(step @p176 :rule implies_elim :premises (@p172))
42.45/42.67	(step @p177 :rule resolution :premises (@p176 @p159) :args (true @t68))
42.45/42.67	(step @p178 :rule not_and :premises (@p177))
42.45/42.67	(step @p179 :rule eq_resolve :premises (@p178 @p148))
42.45/42.67	(step @p180 :rule chain_resolution :premises (@p179 @p144 @p143) :args (@t53 (@list @t64 @t63)))
42.45/42.67	(step @p181 :rule and_elim :premises (@p44) :args (0))
42.45/42.67	(step @p182 :rule refl :args (@t69))
42.45/42.67	(step @p183 :rule bool-double-not-elim :args (@t61))
42.45/42.67	(step @p184 :rule refl :args (@t70))
42.45/42.67	(step @p185 :rule nary_cong :premises (@p184 @p183 @p182) :args ((or @t70 (not @t62) @t69)))
42.45/42.67	(assume-push @p343 @t39)
42.45/42.67	(assume-push @p344 @t62)
42.45/42.67	(assume-push @p345 @t39)
42.45/42.67	(assume-push @p346 @t62)
42.45/42.67	(step @p190 :rule arith_poly_norm :args ((= (* -1 @t38) (* 1 (- @t31 @t26)))))
42.45/42.67	(step @p191 :rule arith_poly_norm_rel :premises (@p190) :args ((= @t71 @t61)))
42.45/42.67	(step @p192 :rule cong :premises (@p191) :args ((not @t71)))
42.45/42.67	(step @p193 :rule symm :premises (@p192))
42.45/42.67	(step @p194 :rule eq_resolve :premises (@p344 @p193))
42.45/42.67	(step @p195 :rule arith_trichotomy :premises (@p181 @p194))
42.45/42.67	(step @p196 :rule int_tight_lb :premises (@p195))
42.45/42.67	(step-pop @p346 :rule scope :premises (@p196))
42.45/42.67	(step-pop @p347 :rule scope :premises (@p346))
42.45/42.67	(step @p197 :rule process_scope :premises (@p347) :args (@t69))
42.45/42.67	(step @p200 :rule and_intro :premises (@p181 @p344))
42.45/42.67	(step @p201 :rule modus_ponens :premises (@p200 @p197))
42.45/42.67	(step-pop @p348 :rule scope :premises (@p201))
42.45/42.67	(step-pop @p349 :rule scope :premises (@p348))
42.45/42.67	(step @p202 :rule process_scope :premises (@p349) :args (@t69))
42.45/42.67	(step @p205 :rule implies_elim :premises (@p202))
42.45/42.67	(step @p206 :rule cnf_and_neg :args (@t72))
42.45/42.67	(step @p207 :rule resolution :premises (@p206 @p205) :args (true @t72))
42.45/42.67	(step @p208 :rule eq_resolve :premises (@p207 @p185))
42.45/42.67	(step @p209 :rule chain_resolution :premises (@p208 @p181 @p180) :args (@t53 (@list @t39 @t61)))
42.45/42.67	(step @p210 :rule refl :args (@t73))
42.45/42.67	(step @p211 :rule refl :args (@t74))
42.45/42.67	(step @p212 :rule bool-double-not-elim :args (@t33))
42.45/42.67	(step @p213 :rule bool-double-not-elim :args (@t18))
42.45/42.67	(step @p214 :rule nary_cong :premises (@p213 @p212 @p211 @p210) :args ((or (not @t76) (not @t75) @t74 @t73)))
42.45/42.67	(assume-push @p351 @t76)
42.45/42.67	(assume-push @p352 @t54)
42.45/42.67	(assume-push @p353 @t75)
42.45/42.67	(assume-push @p354 @t69)
42.45/42.67	(step @p219 :rule arith_poly_norm :args ((= (* 1 (- @t79 1)) (* 2 (- @t77 -1)))))
42.45/42.67	(step @p220 :rule arith_poly_norm_rel :premises (@p219) :args ((= (>= @t79 1) (>= @t77 -1))))
42.45/42.67	(step @p221 :rule refl :args (1))
42.45/42.67	(step @p222 :rule arith_poly_norm :args ((= (+ @t80 @t29) @t79)))
42.45/42.67	(step @p223 :rule refl :args (@t29))
42.45/42.67	(step @p224 :rule arith_poly_norm :args ((= (* 3 @t81) @t80)))
42.45/42.67	(step @p225 :rule arith_poly_norm :args ((= @t82 @t81)))
42.45/42.67	(step @p226 :rule refl :args (3))
42.45/42.67	(step @p227 :rule nary_cong :premises (@p226 @p225) :args (@t83))
42.45/42.67	(step @p228 :rule trans :premises (@p227 @p224))
42.45/42.67	(step @p229 :rule nary_cong :premises (@p228 @p223) :args (@t84))
42.45/42.67	(step @p230 :rule trans :premises (@p229 @p222))
42.45/42.67	(step @p231 :rule cong :premises (@p230 @p221) :args (@t85))
42.45/42.67	(step @p232 :rule trans :premises (@p231 @p220))
42.45/42.67	(step @p233 :rule cong :premises (@p232) :args ((not @t85)))
42.45/42.67	(step @p234 :rule cong :premises (@p10 @p225) :args ((= tptp.a @t82)))
42.45/42.67	(step @p235 :rule symm :premises (@p234))
42.45/42.67	(step @p236 :rule arith_poly_norm :args ((= (* -1 (- @t15 1)) (* -1 (- tptp.a @t81)))))
42.45/42.67	(step @p237 :rule arith_poly_norm_rel :premises (@p236) :args ((= (= @t15 1) (= tptp.a @t81))))
42.45/42.67	(step @p238 :rule trans :premises (@p237 @p235))
42.45/42.67	(step @p239 :rule eq-refl :args (@t76))
42.45/42.67	(step @p240 :rule evaluate :args (@t86))
42.45/42.67	(step @p241 :rule refl :args (@t15))
42.45/42.67	(step @p242 :rule cong :premises (@p241 @p240) :args (@t87))
42.45/42.67	(step @p243 :rule cong :premises (@p242) :args ((not @t87)))
42.45/42.67	(step @p244 :rule arith-leq-norm :args (@t15 1))
42.45/42.67	(step @p245 :rule trans :premises (@p244 @p243))
42.45/42.67	(step @p246 :rule cong :premises (@p245) :args ((not (<= @t15 1))))
42.45/42.67	(step @p247 :rule trans :premises (@p246 @p213))
42.45/42.67	(step @p248 :rule arith-elim-leq :args (@t15 1))
42.45/42.67	(step @p249 :rule symm :premises (@p248))
42.45/42.67	(step @p250 :rule cong :premises (@p249) :args ((not (>= 1 @t15))))
42.45/42.67	(step @p251 :rule arith-elim-gt :args (@t15 1))
42.45/42.67	(step @p252 :rule trans :premises (@p251 @p250))
42.45/42.67	(step @p253 :rule trans :premises (@p252 @p247))
42.45/42.67	(step @p254 :rule cong :premises (@p253) :args (@t88))
42.45/42.67	(step @p255 :rule refl :args (@t76))
42.45/42.67	(step @p256 :rule cong :premises (@p255 @p254) :args ((= @t76 @t88)))
42.45/42.67	(step @p257 :rule trans :premises (@p256 @p239))
42.45/42.67	(step @p258 :rule true_elim :premises (@p257))
42.45/42.67	(step @p259 :rule eq_resolve :premises (@p24 @p258))
42.45/42.67	(step @p260 :rule arith_trichotomy :premises (@p352 @p259))
42.45/42.67	(step @p261 :rule eq_resolve :premises (@p260 @p238))
42.45/42.67	(step @p262 :rule nary_cong :premises (@p226 @p261) :args (@t5))
42.45/42.67	(step @p263 :rule nary_cong :premises (@p262 @p223) :args (@t30))
42.45/42.67	(step @p264 :rule cong :premises (@p263 @p221) :args (@t33))
42.45/42.67	(step @p265 :rule cong :premises (@p264) :args (@t75))
42.45/42.67	(step @p266 :rule eq_resolve :premises (@p45 @p265))
42.45/42.67	(step @p267 :rule eq_resolve :premises (@p266 @p233))
42.45/42.67	(step @p268 :rule evaluate :args ((+ @t89 1)))
42.45/42.67	(step @p269 :rule symm :premises (@p268))
42.45/42.67	(step @p270 :rule evaluate :args ((= (to_real @t89) -3/2)))
42.45/42.67	(step @p271 :rule arith-int-geq-tighten :premises (@p270 @p269) :args (@t77 -3/2 -1))
42.45/42.67	(step @p272 :rule arith_poly_norm :args ((= (* 3/2 (to_real (- @t79 0))) (* 3/1 (- @t90 -3/2)))))
42.45/42.67	(step @p273 :rule arith_poly_norm_rel :premises (@p272) :args ((= (>= @t79 0) (>= @t90 -3/2))))
42.45/42.67	(step @p274 :rule trans :premises (@p273 @p271))
42.45/42.67	(step @p275 :rule refl :args (0))
42.45/42.67	(step @p276 :rule cong :premises (@p230 @p275) :args ((>= @t84 0)))
42.45/42.67	(step @p277 :rule trans :premises (@p276 @p274))
42.45/42.67	(step @p278 :rule eq_resolve :premises (@p260 @p238))
42.45/42.67	(step @p279 :rule nary_cong :premises (@p226 @p278) :args (@t5))
42.45/42.67	(step @p280 :rule nary_cong :premises (@p279 @p223) :args (@t30))
42.45/42.67	(step @p281 :rule cong :premises (@p280 @p275) :args (@t69))
42.45/42.67	(step @p282 :rule eq_resolve :premises (@p354 @p281))
42.45/42.67	(step @p283 :rule eq_resolve :premises (@p282 @p277))
42.45/42.67	(step @p284 false :rule contra :premises (@p283 @p267))
42.45/42.67	(step-pop @p354 :rule scope :premises (@p284))
42.45/42.67	(step-pop @p355 :rule scope :premises (@p354))
42.45/42.67	(step-pop @p356 :rule scope :premises (@p355))
42.45/42.67	(step-pop @p357 :rule scope :premises (@p356))
42.45/42.67	(step @p285 :rule process_scope :premises (@p357) :args (false))
42.45/42.67	(assume-push @p359 @t76)
42.45/42.67	(assume-push @p360 @t75)
42.45/42.67	(assume-push @p361 @t54)
42.45/42.67	(assume-push @p362 @t69)
42.45/42.67	(step @p294 :rule and_intro :premises (@p24 @p361 @p45 @p362))
42.45/42.67	(step-pop @p362 :rule scope :premises (@p294))
42.45/42.67	(step-pop @p363 :rule scope :premises (@p362))
42.45/42.67	(step-pop @p364 :rule scope :premises (@p363))
42.45/42.67	(step-pop @p365 :rule scope :premises (@p364))
42.45/42.67	(step @p295 :rule process_scope :premises (@p365) :args (@t91))
42.45/42.67	(step @p300 :rule implies_elim :premises (@p295))
42.45/42.67	(step @p301 :rule resolution :premises (@p300 @p285) :args (true @t91))
42.45/42.67	(step @p302 :rule not_and :premises (@p301))
42.45/42.67	(step @p303 :rule eq_resolve :premises (@p302 @p214))
42.45/42.67	(step @p304 false :rule chain_resolution :premises (@p303 @p209 @p131 @p45 @p24) :args ((@list false false true true) (@list @t69 @t54 @t33 @t18)))
42.45/42.67	)
42.45/42.67	% SZS output end Proof
42.45/42.67	% cvc5 exiting
42.45/42.67	EOF