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 : n031.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 12:54:07 EDT 2025
0.12/0.34	% CPUTime  : 
0.19/0.48	%----Proving TF0_ARI
0.19/0.54	--- Run --finite-model-find --decision=internal at 18...
0.19/0.54	% SZS status Theorem
0.19/0.54	% SZS output start Proof
0.19/0.54	(
0.19/0.54	(define @t1 () (@var "X" Real))
0.19/0.54	(define @t2 () (/ 3 2))
0.19/0.54	(define @t3 () (+ @t1 @t2))
0.19/0.54	(define @t4 () (to_int @t3))
0.19/0.54	(define @t5 () (@list @t1))
0.19/0.54	(define @t6 () (forall @t5 (> @t4 @t1)))
0.19/0.54	(define @t7 () (not @t6))
0.19/0.54	(define @t8 () (+ 3/2 @t1))
0.19/0.54	(define @t9 () (to_int @t8))
0.19/0.54	(define @t10 () (+ @t1 (* -1 @t9)))
0.19/0.54	(define @t11 () (>= @t10 0))
0.19/0.54	(define @t12 () (<= @t4 @t1))
0.19/0.54	(define @t13 () (forall @t5 (not @t11)))
0.19/0.54	(define @t14 () (@quantifiers_skolemize @t13 0))
0.19/0.54	(define @t15 () (+ 3/2 @t14))
0.19/0.54	(define @t16 () (to_int @t15))
0.19/0.54	(define @t17 () (@purify @t16))
0.19/0.54	(define @t18 () (* -1 @t17))
0.19/0.54	(define @t19 () (+ @t14 @t18))
0.19/0.54	(define @t20 () (>= @t19 0))
0.19/0.54	(define @t21 () (not @t13))
0.19/0.54	(define @t22 () (* -1 @t16))
0.19/0.54	(define @t23 () (+ @t14 @t22))
0.19/0.54	(define @t24 () (>= @t23 0))
0.19/0.54	(define @t25 () (not (not @t24)))
0.19/0.54	(define @t26 () (+ 3/2 @t14 @t18))
0.19/0.54	(define @t27 () (>= @t19 -1/2))
0.19/0.54	(define @t28 () (+ @t18 @t14 3/2))
0.19/0.54	(define @t29 () (+ @t15 @t18))
0.19/0.54	(define @t30 () (- @t15 @t17))
0.19/0.54	(define @t31 () (>= @t30 1/1))
0.19/0.54	(define @t32 () (<= 0/1 @t30))
0.19/0.54	(define @t33 () (not @t20))
0.19/0.54	(define @t34 () (not @t27))
0.19/0.54	(define @t35 () (< @t19 -1/2))
0.19/0.54	(define @t36 () (* -1/1 0/1))
0.19/0.54	(define @t37 () (+ -1/2 @t36))
0.19/0.54	(define @t38 () (* 0 @t14))
0.19/0.54	(define @t39 () (* 0 @t17))
0.19/0.54	(define @t40 () (+ @t39 @t38))
0.19/0.54	(define @t41 () (+ @t19 (* -1/1 @t19)))
0.19/0.54	(define @t42 () (>= @t41 @t37))
0.19/0.54	(define @t43 () (>= @t19 0/1))
0.19/0.54	(define @t44 () (and @t34 @t20))
0.19/0.54	(assume @p1 @t7)
0.19/0.54	(assume @p2 true)
0.19/0.54	(step @p3 :rule arith_poly_norm :args ((= (* 1/1 (- @t1 @t9)) (* 1/1 (- @t10 0)))))
0.19/0.54	(step @p4 :rule arith_poly_norm_rel :premises (@p3) :args ((= (>= @t1 @t9) @t11)))
0.19/0.54	(step @p5 :rule arith-elim-leq :args (@t9 @t1))
0.19/0.54	(step @p6 :rule trans :premises (@p5 @p4))
0.19/0.54	(step @p7 :rule refl :args (@t1))
0.19/0.54	(step @p8 :rule arith_poly_norm :args ((= (+ @t1 3/2) @t8)))
0.19/0.54	(step @p9 :rule evaluate :args (@t2))
0.19/0.54	(step @p10 :rule nary_cong :premises (@p7 @p9) :args (@t3))
0.19/0.54	(step @p11 :rule trans :premises (@p10 @p8))
0.19/0.54	(step @p12 :rule cong :premises (@p11) :args (@t4))
0.19/0.54	(step @p13 :rule cong :premises (@p12 @p7) :args (@t12))
0.19/0.54	(step @p14 :rule trans :premises (@p13 @p6))
0.19/0.54	(step @p15 :rule cong :premises (@p14) :args ((not @t12)))
0.19/0.54	(step @p16 :rule arith-elim-leq :args (@t4 @t1))
0.19/0.54	(step @p17 :rule symm :premises (@p16))
0.19/0.54	(step @p18 :rule cong :premises (@p17) :args ((not (>= @t1 @t4))))
0.19/0.54	(step @p19 :rule arith-elim-gt :args (@t4 @t1))
0.19/0.54	(step @p20 :rule trans :premises (@p19 @p18))
0.19/0.54	(step @p21 :rule trans :premises (@p20 @p15))
0.19/0.54	(step @p22 :rule cong :premises (@p21) :args (@t6))
0.19/0.54	(step @p23 :rule cong :premises (@p22) :args (@t7))
0.19/0.54	(step @p24 :rule eq_resolve :premises (@p1 @p23))
0.19/0.54	(step @p25 :rule refl :args (@t20))
0.19/0.54	(step @p26 :rule bool-double-not-elim :args (@t13))
0.19/0.54	(step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or (not @t21) @t20)))
0.19/0.54	(step @p28 :rule refl :args (0))
0.19/0.54	(step @p29 :rule arith_reduction :args (@t16))
0.19/0.54	(step @p30 :rule and_elim :premises (@p29) :args (0))
0.19/0.54	(step @p31 :rule refl :args (-1))
0.19/0.54	(step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t22))
0.19/0.54	(step @p33 :rule refl :args (@t14))
0.19/0.54	(step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t23))
0.19/0.54	(step @p35 :rule cong :premises (@p34 @p28) :args (@t24))
0.19/0.54	(step @p36 :rule refl :args (@t21))
0.19/0.54	(step @p37 :rule cong :premises (@p36 @p35) :args ((=> @t21 @t24)))
0.19/0.54	(step @p38 :rule bool-double-not-elim :args (@t24))
0.19/0.54	(step @p39 :rule cong :premises (@p36 @p38) :args ((=> @t21 @t25)))
0.19/0.54	(step @p40 :rule trans :premises (@p39 @p37))
0.19/0.54	(assume-push @p132 @t21)
0.19/0.54	(step @p42 :rule skolemize :premises (@p24))
0.19/0.54	(step-pop @p132 :rule scope :premises (@p42))
0.19/0.54	(step @p43 :rule process_scope :premises (@p132) :args (@t25))
0.19/0.54	(step @p45 :rule eq_resolve :premises (@p43 @p40))
0.19/0.54	(step @p46 :rule implies_elim :premises (@p45))
0.19/0.54	(step @p47 :rule eq_resolve :premises (@p46 @p27))
0.19/0.54	(step @p48 :rule chain_resolution :premises (@p47 @p24) :args ((@list true) (@list @t13)))
0.19/0.54	(step @p49 :rule arith_poly_norm :args ((= (* 1/2 (- @t26 1/1)) (* 1/2 (- @t19 -1/2)))))
0.19/0.54	(step @p50 :rule arith_poly_norm_rel :premises (@p49) :args ((= (>= @t26 1/1) @t27)))
0.19/0.54	(step @p51 :rule refl :args (1/1))
0.19/0.54	(step @p52 :rule arith_poly_norm :args ((= @t28 @t26)))
0.19/0.54	(step @p53 :rule arith_poly_norm :args ((= @t29 @t28)))
0.19/0.54	(step @p54 :rule trans :premises (@p53 @p52))
0.19/0.54	(step @p55 :rule arith_poly_norm :args ((= @t30 @t29)))
0.19/0.54	(step @p56 :rule trans :premises (@p55 @p54))
0.19/0.54	(step @p57 :rule cong :premises (@p56 @p51) :args (@t31))
0.19/0.54	(step @p58 :rule trans :premises (@p57 @p50))
0.19/0.54	(step @p59 :rule cong :premises (@p58) :args ((not @t31)))
0.19/0.54	(step @p60 :rule arith-elim-lt :args (@t30 1/1))
0.19/0.54	(step @p61 :rule trans :premises (@p60 @p59))
0.19/0.54	(step @p62 :rule arith_poly_norm :args ((= (* 3/2 (- @t26 0/1)) (* 3/2 (- @t19 -3/2)))))
0.19/0.54	(step @p63 :rule arith_poly_norm_rel :premises (@p62) :args ((= (>= @t26 0/1) (>= @t19 -3/2))))
0.19/0.54	(step @p64 :rule arith-elim-leq :args (0/1 @t26))
0.19/0.54	(step @p65 :rule trans :premises (@p64 @p63))
0.19/0.54	(step @p66 :rule refl :args (0/1))
0.19/0.54	(step @p67 :rule cong :premises (@p66 @p56) :args (@t32))
0.19/0.54	(step @p68 :rule trans :premises (@p67 @p65))
0.19/0.54	(step @p69 :rule nary_cong :premises (@p68 @p61) :args ((and @t32 (< @t30 1/1))))
0.19/0.54	(step @p70 :rule and_elim :premises (@p29) :args (1))
0.19/0.54	(step @p71 :rule eq_resolve :premises (@p70 @p69))
0.19/0.54	(step @p72 :rule and_elim :premises (@p71) :args (1))
0.19/0.54	(step @p73 :rule bool-double-not-elim :args (@t27))
0.19/0.54	(step @p74 :rule refl :args (@t33))
0.19/0.54	(step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t33 (not @t34))))
0.19/0.54	(assume-push @p134 @t34)
0.19/0.54	(assume-push @p135 @t20)
0.19/0.54	(step @p78 :rule arith-elim-lt :args (@t19 -1/2))
0.19/0.54	(step @p79 :rule cong :premises (@p78) :args ((not @t35)))
0.19/0.54	(step @p80 :rule trans :premises (@p79 @p73))
0.19/0.54	(assume-push @p136 @t35)
0.19/0.54	(step @p82 :rule evaluate :args ((not true)))
0.19/0.54	(step @p83 :rule evaluate :args ((>= 0/1 -1/2)))
0.19/0.54	(step @p84 :rule evaluate :args ((+ -1/2 0/1)))
0.19/0.54	(step @p85 :rule evaluate :args (@t36))
0.19/0.54	(step @p86 :rule refl :args (-1/2))
0.19/0.54	(step @p87 :rule nary_cong :premises (@p86 @p85) :args (@t37))
0.19/0.54	(step @p88 :rule trans :premises (@p87 @p84))
0.19/0.54	(step @p89 :rule evaluate :args ((+ 0 0/1)))
0.19/0.54	(step @p90 :rule arith_poly_norm :args ((= @t38 0/1)))
0.19/0.54	(step @p91 :rule arith_poly_norm :args ((= @t39 0)))
0.19/0.54	(step @p92 :rule nary_cong :premises (@p91 @p90) :args (@t40))
0.19/0.54	(step @p93 :rule trans :premises (@p92 @p89))
0.19/0.54	(step @p94 :rule arith_poly_norm :args ((= @t41 @t40)))
0.19/0.54	(step @p95 :rule trans :premises (@p94 @p93))
0.19/0.54	(step @p96 :rule cong :premises (@p95 @p88) :args (@t42))
0.19/0.54	(step @p97 :rule trans :premises (@p96 @p83))
0.19/0.54	(step @p98 :rule cong :premises (@p97) :args ((not @t42)))
0.19/0.54	(step @p99 :rule trans :premises (@p98 @p82))
0.19/0.54	(step @p100 :rule arith-elim-lt :args (@t41 @t37))
0.19/0.54	(step @p101 :rule trans :premises (@p100 @p99))
0.19/0.54	(step @p102 :rule arith_mult_neg :args (-1/1 @t43))
0.19/0.54	(step @p103 :rule arith_poly_norm :args ((= (* 1/1 (- @t19 0/1)) (* 1/1 (- @t19 0)))))
0.19/0.54	(step @p104 :rule arith_poly_norm_rel :premises (@p103) :args ((= @t43 @t20)))
0.19/0.54	(step @p105 :rule symm :premises (@p104))
0.19/0.54	(step @p106 :rule eq_resolve :premises (@p48 @p105))
0.19/0.54	(step @p107 :rule evaluate :args ((< -1/1 0/1)))
0.19/0.54	(step @p108 :rule true_elim :premises (@p107))
0.19/0.54	(step @p109 :rule and_intro :premises (@p108 @p106))
0.19/0.54	(step @p110 :rule modus_ponens :premises (@p109 @p102))
0.19/0.54	(step @p111 :rule arith_sum_ub :premises (@p136 @p110))
0.19/0.54	(step @p112 false :rule eq_resolve :premises (@p111 @p101))
0.19/0.54	(step-pop @p136 :rule scope :premises (@p112))
0.19/0.54	(step @p113 :rule process_scope :premises (@p136) :args (false))
0.19/0.54	(step @p115 :rule eq_resolve :premises (@p113 @p80))
0.19/0.54	(step @p116 false :rule contra :premises (@p115 @p72))
0.19/0.54	(step-pop @p137 :rule scope :premises (@p116))
0.19/0.54	(step-pop @p138 :rule scope :premises (@p137))
0.19/0.54	(step @p117 :rule process_scope :premises (@p138) :args (false))
0.19/0.54	(assume-push @p140 @t20)
0.19/0.54	(assume-push @p141 @t34)
0.19/0.54	(step @p122 :rule and_intro :premises (@p72 @p48))
0.19/0.54	(step-pop @p141 :rule scope :premises (@p122))
0.19/0.54	(step-pop @p142 :rule scope :premises (@p141))
0.19/0.54	(step @p123 :rule process_scope :premises (@p142) :args (@t44))
0.19/0.54	(step @p126 :rule implies_elim :premises (@p123))
0.19/0.54	(step @p127 :rule resolution :premises (@p126 @p117) :args (true @t44))
0.19/0.54	(step @p128 :rule not_and :premises (@p127))
0.19/0.54	(step @p129 :rule eq_resolve :premises (@p128 @p75))
0.19/0.55	(step @p130 :rule reordering :premises (@p129) :args ((or @t27 @t33)))
0.19/0.55	(step @p131 false :rule chain_resolution :premises (@p130 @p72 @p48) :args ((@list true false) (@list @t27 @t20)))
0.19/0.55	)
0.19/0.55	% SZS output end Proof
0.19/0.55	% cvc5 exiting
0.19/0.55	EOF