0.11/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.13	% 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
0.12/0.34	% CPULimit : 960
0.12/0.34	% WCLimit  : 120
0.12/0.34	% DateTime : Fri Sep  5 12:55:52 EDT 2025
0.12/0.34	% CPUTime  : 
0.19/0.49	%----Proving TF0_ARI
18.44/18.63	--- Run --finite-model-find --decision=internal at 18...
18.44/18.63	--- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 24...
18.44/18.63	% SZS status Theorem
18.44/18.63	% SZS output start Proof
18.44/18.63	(
18.44/18.63	(declare-const tptp.u Real)
18.44/18.63	(declare-const tptp.x Real)
18.44/18.63	(declare-const tptp.v Real)
18.44/18.63	(declare-const tptp.w Real)
18.44/18.63	(declare-const tptp.f (-> Real Real))
18.44/18.63	(define @t1 () (@var "X" Real))
18.44/18.63	(define @t2 () (tptp.f @t1))
18.44/18.63	(define @t3 () (forall (@list @t1) (<= @t2 2/1)))
18.44/18.63	(define @t4 () (+ tptp.v tptp.w))
18.44/18.63	(define @t5 () (tptp.f tptp.x))
18.44/18.63	(define @t6 () (- 1/1))
18.44/18.63	(define @t7 () (+ @t6 @t5))
18.44/18.63	(define @t8 () (* tptp.w @t7))
18.44/18.63	(define @t9 () (+ tptp.u @t8))
18.44/18.63	(define @t10 () (not (< @t9 @t4)))
18.44/18.63	(define @t11 () (> tptp.w 0/1))
18.44/18.63	(define @t12 () (* tptp.w @t5))
18.44/18.63	(define @t13 () (* -1 tptp.v))
18.44/18.63	(define @t14 () (+ tptp.u @t13 (* -2 tptp.w) @t12))
18.44/18.63	(define @t15 () (>= @t14 0))
18.44/18.63	(define @t16 () (* 1/1 (- @t14 0)))
18.44/18.63	(define @t17 () (* -1 tptp.w))
18.44/18.63	(define @t18 () (+ tptp.u @t17 @t12))
18.44/18.63	(define @t19 () (+ @t17 @t12))
18.44/18.63	(define @t20 () (+ -1 @t5))
18.44/18.63	(define @t21 () (>= @t9 @t4))
18.44/18.63	(define @t22 () (+ tptp.u @t13))
18.44/18.63	(define @t23 () (* 1/1 (- @t22 0)))
18.44/18.63	(define @t24 () (>= @t22 0))
18.44/18.63	(define @t25 () (>= tptp.u tptp.v))
18.44/18.63	(define @t26 () (* -1 @t2))
18.44/18.63	(define @t27 () (>= @t17 0))
18.44/18.63	(define @t28 () (>= 0/1 tptp.w))
18.44/18.63	(define @t29 () (* -1 @t5))
18.44/18.63	(define @t30 () (>= @t29 -2))
18.44/18.63	(define @t31 () (not @t30))
18.44/18.63	(define @t32 () (not @t27))
18.44/18.63	(define @t33 () (and @t32 @t30))
18.44/18.63	(define @t34 () (* -1/2 @t12))
18.44/18.63	(define @t35 () (+ tptp.w @t34))
18.44/18.63	(define @t36 () (- @t35 0))
18.44/18.63	(define @t37 () (* 2 tptp.w))
18.44/18.63	(define @t38 () (>= @t35 0))
18.44/18.63	(define @t39 () (* tptp.w 2))
18.44/18.63	(define @t40 () (* tptp.w @t5))
18.44/18.63	(define @t41 () (<= @t40 @t39))
18.44/18.63	(define @t42 () (and @t11 @t30))
18.44/18.63	(define @t43 () (<= @t5 2))
18.44/18.63	(define @t44 () (and @t11 @t43))
18.44/18.63	(define @t45 () (@list false))
18.44/18.63	(define @t46 () (@list @t33))
18.44/18.63	(define @t47 () (not @t38))
18.44/18.63	(define @t48 () (not @t15))
18.44/18.63	(define @t49 () (not @t24))
18.44/18.63	(define @t50 () (>= @t35 0/1))
18.44/18.63	(define @t51 () (* -1/2 0/1))
18.44/18.63	(define @t52 () (* 1/2 0/1))
18.44/18.63	(define @t53 () (* -1/1 0/1))
18.44/18.63	(define @t54 () (+ @t53 @t52 @t51))
18.44/18.63	(define @t55 () (+ (* -1/2 tptp.u) (* 1/2 tptp.v) tptp.w @t34))
18.44/18.63	(define @t56 () (+ (* 1/2 tptp.u) (* -1/2 tptp.v)))
18.44/18.63	(define @t57 () (+ @t17 (* 1/2 @t12)))
18.44/18.63	(define @t58 () (* -1/2 @t14))
18.44/18.63	(define @t59 () (* 1/2 @t22))
18.44/18.63	(define @t60 () (* -1/1 @t35))
18.44/18.63	(define @t61 () (+ @t60 @t59 @t58))
18.44/18.63	(define @t62 () (>= @t61 @t54))
18.44/18.63	(define @t63 () (>= @t14 0/1))
18.44/18.63	(define @t64 () (>= @t22 0/1))
18.44/18.63	(assume @p1 @t3)
18.44/18.63	(assume @p2 @t10)
18.44/18.63	(assume @p3 (< tptp.u tptp.v))
18.44/18.63	(assume @p4 @t11)
18.44/18.63	(assume @p5 true)
18.44/18.63	(step @p6 :rule bool-double-not-elim :args (@t15))
18.44/18.63	(step @p7 :rule arith_poly_norm :args ((= (* 1/1 (- @t18 @t4)) @t16)))
18.44/18.63	(step @p8 :rule arith_poly_norm_rel :premises (@p7) :args ((= (>= @t18 @t4) @t15)))
18.44/18.63	(step @p9 :rule refl :args (@t4))
18.44/18.63	(step @p10 :rule arith_poly_norm :args ((= (+ tptp.u @t19) @t18)))
18.44/18.63	(step @p11 :rule arith_poly_norm :args ((= (* tptp.w @t20) @t19)))
18.44/18.63	(step @p12 :rule arith_poly_norm :args ((= (+ -1/1 @t5) @t20)))
18.44/18.63	(step @p13 :rule refl :args (@t5))
18.44/18.63	(step @p14 :rule evaluate :args (@t6))
18.44/18.63	(step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t7))
18.44/18.63	(step @p16 :rule trans :premises (@p15 @p12))
18.44/18.63	(step @p17 :rule refl :args (tptp.w))
18.44/18.63	(step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t8))
18.44/18.63	(step @p19 :rule trans :premises (@p18 @p11))
18.44/18.63	(step @p20 :rule refl :args (tptp.u))
18.44/18.63	(step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t9))
18.44/18.63	(step @p22 :rule trans :premises (@p21 @p10))
18.44/18.63	(step @p23 :rule cong :premises (@p22 @p9) :args (@t21))
18.44/18.63	(step @p24 :rule trans :premises (@p23 @p8))
18.44/18.63	(step @p25 :rule cong :premises (@p24) :args ((not @t21)))
18.44/18.63	(step @p26 :rule arith-elim-lt :args (@t9 @t4))
18.44/18.63	(step @p27 :rule trans :premises (@p26 @p25))
18.44/18.63	(step @p28 :rule cong :premises (@p27) :args (@t10))
18.44/18.63	(step @p29 :rule trans :premises (@p28 @p6))
18.44/18.63	(step @p30 :rule eq_resolve :premises (@p2 @p29))
18.44/18.63	(step @p31 :rule arith_poly_norm :args ((= (* 1/1 (- tptp.u tptp.v)) @t23)))
18.44/18.63	(step @p32 :rule arith_poly_norm_rel :premises (@p31) :args ((= @t25 @t24)))
18.44/18.63	(step @p33 :rule cong :premises (@p32) :args ((not @t25)))
18.44/18.63	(step @p34 :rule arith-elim-lt :args (tptp.u tptp.v))
18.44/18.63	(step @p35 :rule trans :premises (@p34 @p33))
18.44/18.63	(step @p36 :rule eq_resolve :premises (@p3 @p35))
18.44/18.63	(step @p37 :rule arith_poly_norm :args ((= (* 2/1 (- 2/1 @t2)) (* 2/1 (- @t26 -2)))))
18.44/18.63	(step @p38 :rule arith_poly_norm_rel :premises (@p37) :args ((= (>= 2/1 @t2) (>= @t26 -2))))
18.44/18.63	(step @p39 :rule arith-elim-leq :args (@t2 2/1))
18.44/18.63	(step @p40 :rule trans :premises (@p39 @p38))
18.44/18.63	(step @p41 :rule cong :premises (@p40) :args (@t3))
18.44/18.63	(step @p42 :rule eq_resolve :premises (@p1 @p41))
18.44/18.63	(step @p43 :rule instantiate :premises (@p42) :args ((@list tptp.x)))
18.44/18.63	(step @p44 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 tptp.w)) (* -1/1 (- @t17 0)))))
18.44/18.63	(step @p45 :rule arith_poly_norm_rel :premises (@p44) :args ((= @t28 @t27)))
18.44/18.63	(step @p46 :rule arith-elim-leq :args (tptp.w 0/1))
18.44/18.63	(step @p47 :rule trans :premises (@p46 @p45))
18.44/18.63	(step @p48 :rule cong :premises (@p47) :args ((not (<= tptp.w 0/1))))
18.44/18.63	(step @p49 :rule symm :premises (@p46))
18.44/18.63	(step @p50 :rule cong :premises (@p49) :args ((not @t28)))
18.44/18.63	(step @p51 :rule arith-elim-gt :args (tptp.w 0/1))
18.44/18.63	(step @p52 :rule trans :premises (@p51 @p50))
18.44/18.63	(step @p53 :rule trans :premises (@p52 @p48))
18.44/18.63	(step @p54 :rule eq_resolve :premises (@p4 @p53))
18.44/18.63	(step @p55 :rule refl :args (@t31))
18.44/18.63	(step @p56 :rule bool-double-not-elim :args (@t27))
18.44/18.63	(step @p57 :rule refl :args (@t33))
18.44/18.63	(step @p58 :rule nary_cong :premises (@p57 @p56 @p55) :args ((or @t33 (not @t32) @t31)))
18.44/18.63	(step @p59 :rule cnf_and_neg :args (@t33))
18.44/18.63	(step @p60 :rule eq_resolve :premises (@p59 @p58))
18.44/18.63	(step @p61 :rule reordering :premises (@p60) :args ((or @t27 @t31 @t33)))
18.44/18.63	(step @p62 :rule chain_resolution :premises (@p61 @p54 @p43) :args ((@list true false) (@list @t27 @t30)))
18.44/18.63	(step @p63 :rule arith_poly_norm :args ((= (* 1/1 (- @t37 @t12)) (* 2/1 @t36))))
18.44/18.63	(step @p64 :rule arith_poly_norm_rel :premises (@p63) :args ((= (>= @t37 @t12) @t38)))
18.44/18.63	(step @p65 :rule arith-elim-leq :args (@t12 @t37))
18.44/18.63	(step @p66 :rule trans :premises (@p65 @p64))
18.44/18.63	(step @p67 :rule arith_poly_norm :args ((= @t39 @t37)))
18.44/18.63	(step @p68 :rule arith_poly_norm :args ((= @t40 @t12)))
18.44/18.63	(step @p69 :rule cong :premises (@p68 @p67) :args (@t41))
18.44/18.63	(step @p70 :rule trans :premises (@p69 @p66))
18.44/18.63	(step @p71 :rule refl :args (@t30))
18.44/18.63	(step @p72 :rule nary_cong :premises (@p53 @p71) :args (@t42))
18.44/18.63	(step @p73 :rule cong :premises (@p72 @p70) :args ((=> @t42 @t41)))
18.44/18.63	(step @p74 :rule symm :premises (@p73))
18.44/18.63	(step @p75 :rule arith_poly_norm :args ((= (* 2/1 (- 2 @t5)) (* 2/1 (- @t29 -2)))))
18.44/18.63	(step @p76 :rule arith_poly_norm_rel :premises (@p75) :args ((= (>= 2 @t5) @t30)))
18.44/18.63	(step @p77 :rule arith-elim-leq :args (@t5 2))
18.44/18.63	(step @p78 :rule trans :premises (@p77 @p76))
18.44/18.63	(step @p79 :rule nary_cong :premises (@p53 @p78) :args (@t44))
18.44/18.63	(step @p80 :rule cong :premises (@p79 @p70) :args ((=> @t44 @t41)))
18.44/18.63	(step @p81 :rule trans :premises (@p80 @p74))
18.44/18.63	(step @p82 :rule arith_mult_pos :args (tptp.w @t43))
18.44/18.63	(step @p83 :rule eq_resolve :premises (@p82 @p81))
18.44/18.63	(step @p84 :rule eq_resolve :premises (@p83 @p73))
18.44/18.63	(step @p85 :rule implies_elim :premises (@p84))
18.44/18.63	(step @p86 :rule reordering :premises (@p85) :args ((or @t38 (not @t33))))
18.44/18.63	(step @p87 :rule chain_resolution :premises (@p86 @p62) :args (@t45 @t46))
18.44/18.63	(step @p88 :rule refl :args (@t47))
18.44/18.63	(step @p89 :rule bool-double-not-elim :args (@t24))
18.44/18.63	(step @p90 :rule refl :args (@t48))
18.44/18.63	(step @p91 :rule nary_cong :premises (@p90 @p89 @p88) :args ((or @t48 (not @t49) @t47)))
18.44/18.63	(assume-push @p167 @t15)
18.44/18.63	(assume-push @p168 @t49)
18.44/18.63	(assume-push @p169 @t38)
18.44/18.63	(step @p95 :rule arith-elim-lt :args (@t35 0/1))
18.44/18.63	(step @p96 :rule arith_poly_norm :args ((= (* 1/1 (- @t35 0/1)) (* 1/1 @t36))))
18.44/18.63	(step @p97 :rule arith_poly_norm_rel :premises (@p96) :args ((= @t50 @t38)))
18.44/18.63	(step @p98 :rule cong :premises (@p97) :args ((not @t50)))
18.44/18.63	(step @p99 :rule trans :premises (@p95 @p98))
18.44/18.63	(step @p100 :rule symm :premises (@p99))
18.44/18.63	(step @p101 :rule trans :premises (@p98 @p100))
18.44/18.63	(assume-push @p170 @t50)
18.44/18.63	(step @p103 :rule evaluate :args ((not true)))
18.44/18.63	(step @p104 :rule evaluate :args ((>= 0/1 0/1)))
18.44/18.63	(step @p105 :rule evaluate :args ((+ 0/1 0/1 0/1)))
18.44/18.63	(step @p106 :rule evaluate :args (@t51))
18.44/18.63	(step @p107 :rule evaluate :args (@t52))
18.44/18.63	(step @p108 :rule evaluate :args (@t53))
18.44/18.63	(step @p109 :rule nary_cong :premises (@p108 @p107 @p106) :args (@t54))
18.44/18.63	(step @p110 :rule trans :premises (@p109 @p105))
18.44/18.63	(step @p111 :rule arith_poly_norm :args ((= (+ @t57 @t56 @t55) 0/1)))
18.44/18.63	(step @p112 :rule arith_poly_norm :args ((= @t58 @t55)))
18.44/18.63	(step @p113 :rule arith_poly_norm :args ((= @t59 @t56)))
18.44/18.63	(step @p114 :rule arith_poly_norm :args ((= @t60 @t57)))
18.44/18.63	(step @p115 :rule nary_cong :premises (@p114 @p113 @p112) :args (@t61))
18.44/18.63	(step @p116 :rule trans :premises (@p115 @p111))
18.44/18.63	(step @p117 :rule cong :premises (@p116 @p110) :args (@t62))
18.44/18.63	(step @p118 :rule trans :premises (@p117 @p104))
18.44/18.63	(step @p119 :rule cong :premises (@p118) :args ((not @t62)))
18.44/18.63	(step @p120 :rule trans :premises (@p119 @p103))
18.44/18.63	(step @p121 :rule arith-elim-lt :args (@t61 @t54))
18.44/18.63	(step @p122 :rule trans :premises (@p121 @p120))
18.44/18.63	(step @p123 :rule arith_mult_neg :args (-1/2 @t63))
18.44/18.63	(step @p124 :rule arith_poly_norm :args ((= (* 1/1 (- @t14 0/1)) @t16)))
18.44/18.63	(step @p125 :rule arith_poly_norm_rel :premises (@p124) :args ((= @t63 @t15)))
18.44/18.63	(step @p126 :rule symm :premises (@p125))
18.44/18.63	(step @p127 :rule eq_resolve :premises (@p30 @p126))
18.44/18.63	(step @p128 :rule evaluate :args ((< -1/2 0/1)))
18.44/18.63	(step @p129 :rule true_elim :premises (@p128))
18.44/18.63	(step @p130 :rule and_intro :premises (@p129 @p127))
18.44/18.63	(step @p131 :rule modus_ponens :premises (@p130 @p123))
18.44/18.63	(step @p132 :rule arith_mult_pos :args (1/2 (< @t22 0/1)))
18.44/18.63	(step @p133 :rule arith_poly_norm :args ((= (* 1/1 (- @t22 0/1)) @t23)))
18.44/18.63	(step @p134 :rule arith_poly_norm_rel :premises (@p133) :args ((= @t64 @t24)))
18.44/18.63	(step @p135 :rule cong :premises (@p134) :args ((not @t64)))
18.44/18.63	(step @p136 :rule arith-elim-lt :args (@t22 0/1))
18.44/18.63	(step @p137 :rule trans :premises (@p136 @p135))
18.44/18.63	(step @p138 :rule symm :premises (@p137))
18.44/18.63	(step @p139 :rule eq_resolve :premises (@p36 @p138))
18.44/18.63	(step @p140 :rule evaluate :args ((> 1/2 0/1)))
18.44/18.63	(step @p141 :rule true_elim :premises (@p140))
18.44/18.63	(step @p142 :rule and_intro :premises (@p141 @p139))
18.44/18.63	(step @p143 :rule modus_ponens :premises (@p142 @p132))
18.44/18.63	(step @p144 :rule arith_mult_neg :args (-1/1 @t50))
18.44/18.63	(step @p145 :rule symm :premises (@p97))
18.44/18.63	(step @p146 :rule chain_resolution :premises (@p86 @p62) :args (@t45 @t46))
18.44/18.63	(step @p147 :rule eq_resolve :premises (@p146 @p145))
18.44/18.63	(step @p148 :rule evaluate :args ((< -1/1 0/1)))
18.44/18.63	(step @p149 :rule true_elim :premises (@p148))
18.44/18.63	(step @p150 :rule and_intro :premises (@p149 @p147))
18.44/18.63	(step @p151 :rule modus_ponens :premises (@p150 @p144))
18.44/18.63	(step @p152 :rule arith_sum_ub :premises (@p151 @p143 @p131))
18.44/18.63	(step @p153 false :rule eq_resolve :premises (@p152 @p122))
18.44/18.63	(step-pop @p170 :rule scope :premises (@p153))
18.44/18.63	(step @p154 :rule process_scope :premises (@p170) :args (false))
18.44/18.63	(step @p156 :rule eq_resolve :premises (@p154 @p101))
18.44/18.63	(step @p157 :rule eq_resolve :premises (@p156 @p95))
18.44/18.63	(step @p145 :rule symm :premises (@p97))
18.44/18.63	(step @p158 :rule eq_resolve :premises (@p87 @p145))
18.44/18.63	(step @p159 false :rule contra :premises (@p158 @p157))
18.44/18.63	(step-pop @p171 :rule scope :premises (@p159))
18.44/18.63	(step-pop @p172 :rule scope :premises (@p171))
18.44/18.63	(step-pop @p173 :rule scope :premises (@p172))
18.44/18.63	(step @p160 :rule process_scope :premises (@p173) :args (false))
18.44/18.63	(step @p164 :rule not_and :premises (@p160))
18.44/18.63	(step @p165 :rule eq_resolve :premises (@p164 @p91))
18.44/18.63	(step @p166 false :rule chain_resolution :premises (@p165 @p87 @p36 @p30) :args ((@list false true false) (@list @t38 @t24 @t15)))
18.44/18.63	)
18.44/18.63	% SZS output end Proof
18.44/18.63	% cvc5 exiting
18.44/18.64	EOF