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
0.12/0.32	% Computer : n029.cluster.edu
0.12/0.32	% Model    : x86_64 x86_64
0.12/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.32	% Memory   : 8042.1875MB
0.12/0.32	% 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 12:54:22 EDT 2025
0.12/0.33	% CPUTime  : 
0.18/0.47	%----Proving TF0_ARI
18.34/18.57	--- Run --finite-model-find --decision=internal at 18...
18.34/18.57	--- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 24...
18.34/18.57	% SZS status Theorem
18.34/18.57	% SZS output start Proof
18.34/18.57	(
18.34/18.57	(declare-const tptp.u Real)
18.34/18.57	(declare-const tptp.x Real)
18.34/18.57	(declare-const tptp.v Real)
18.34/18.57	(declare-const tptp.y Real)
18.34/18.57	(declare-const tptp.f (-> Real Real))
18.34/18.57	(define @t1 () (@var "Y" Real))
18.34/18.57	(define @t2 () (tptp.f @t1))
18.34/18.57	(define @t3 () (@var "X" Real))
18.34/18.57	(define @t4 () (tptp.f @t3))
18.34/18.57	(define @t5 () (>= @t4 @t2))
18.34/18.57	(define @t6 () (>= @t3 @t1))
18.34/18.57	(define @t7 () (=> @t6 @t5))
18.34/18.57	(define @t8 () (@list @t3 @t1))
18.34/18.57	(define @t9 () (forall @t8 @t7))
18.34/18.57	(define @t10 () (tptp.f tptp.y))
18.34/18.57	(define @t11 () (+ tptp.v @t10))
18.34/18.57	(define @t12 () (tptp.f tptp.x))
18.34/18.57	(define @t13 () (+ tptp.u @t12))
18.34/18.57	(define @t14 () (not (< @t13 @t11)))
18.34/18.57	(define @t15 () (* -1 @t10))
18.34/18.57	(define @t16 () (* -1 tptp.v))
18.34/18.57	(define @t17 () (+ tptp.u @t16 @t12 @t15))
18.34/18.57	(define @t18 () (>= @t17 0))
18.34/18.57	(define @t19 () (* 1/1 (- @t17 0)))
18.34/18.57	(define @t20 () (>= @t13 @t11))
18.34/18.57	(define @t21 () (+ tptp.u @t16))
18.34/18.57	(define @t22 () (* 1/1 (- @t21 0)))
18.34/18.57	(define @t23 () (>= @t21 0))
18.34/18.57	(define @t24 () (>= tptp.u tptp.v))
18.34/18.57	(define @t25 () (+ @t3 (* -1 @t1)))
18.34/18.57	(define @t26 () (>= @t25 0))
18.34/18.57	(define @t27 () (+ @t4 (* -1 @t2)))
18.34/18.57	(define @t28 () (>= @t27 0))
18.34/18.57	(define @t29 () (* -1 @t12))
18.34/18.57	(define @t30 () (+ @t29 @t10))
18.34/18.57	(define @t31 () (+ @t10 @t29))
18.34/18.57	(define @t32 () (>= @t31 0))
18.34/18.57	(define @t33 () (* -1 tptp.x))
18.34/18.57	(define @t34 () (+ @t33 tptp.y))
18.34/18.57	(define @t35 () (+ tptp.y @t33))
18.34/18.57	(define @t36 () (>= @t35 0))
18.34/18.57	(define @t37 () (not @t36))
18.34/18.57	(define @t38 () (or @t37 @t32))
18.34/18.57	(define @t39 () (forall @t8 (or (not @t26) @t28)))
18.34/18.57	(define @t40 () (>= @t34 0))
18.34/18.57	(define @t41 () (>= @t30 0))
18.34/18.57	(define @t42 () (not @t40))
18.34/18.57	(define @t43 () (or @t42 @t41))
18.34/18.57	(define @t44 () (@list false false))
18.34/18.57	(define @t45 () (@list @t40 @t43))
18.34/18.57	(define @t46 () (not @t41))
18.34/18.57	(define @t47 () (not @t18))
18.34/18.57	(define @t48 () (not @t23))
18.34/18.57	(define @t49 () (+ @t12 @t15))
18.34/18.57	(define @t50 () (>= 0/1 @t49))
18.34/18.57	(define @t51 () (<= @t49 0/1))
18.34/18.57	(define @t52 () (* -1/1 0/1))
18.34/18.57	(define @t53 () (+ 0/1 0/1 @t52))
18.34/18.57	(define @t54 () (* 0 tptp.u))
18.34/18.57	(define @t55 () (* 0 @t12))
18.34/18.57	(define @t56 () (* 0 tptp.v))
18.34/18.57	(define @t57 () (* 0 @t10))
18.34/18.57	(define @t58 () (+ @t57 @t56 @t55 @t54))
18.34/18.57	(define @t59 () (+ @t49 @t21 (* -1/1 @t17)))
18.34/18.57	(define @t60 () (>= @t59 @t53))
18.34/18.57	(define @t61 () (>= @t17 0/1))
18.34/18.57	(define @t62 () (>= @t21 0/1))
18.34/18.57	(assume @p1 @t9)
18.34/18.57	(assume @p2 @t14)
18.34/18.57	(assume @p3 (<= tptp.x tptp.y))
18.34/18.57	(assume @p4 (< tptp.u tptp.v))
18.34/18.57	(assume @p5 true)
18.34/18.57	(step @p6 :rule bool-double-not-elim :args (@t18))
18.34/18.57	(step @p7 :rule arith_poly_norm :args ((= (* 1/1 (- @t13 @t11)) @t19)))
18.34/18.57	(step @p8 :rule arith_poly_norm_rel :premises (@p7) :args ((= @t20 @t18)))
18.34/18.57	(step @p9 :rule cong :premises (@p8) :args ((not @t20)))
18.34/18.57	(step @p10 :rule arith-elim-lt :args (@t13 @t11))
18.34/18.57	(step @p11 :rule trans :premises (@p10 @p9))
18.34/18.57	(step @p12 :rule cong :premises (@p11) :args (@t14))
18.34/18.57	(step @p13 :rule trans :premises (@p12 @p6))
18.34/18.57	(step @p14 :rule eq_resolve :premises (@p2 @p13))
18.34/18.57	(step @p15 :rule arith_poly_norm :args ((= (* 1/1 (- tptp.u tptp.v)) @t22)))
18.34/18.57	(step @p16 :rule arith_poly_norm_rel :premises (@p15) :args ((= @t24 @t23)))
18.34/18.57	(step @p17 :rule cong :premises (@p16) :args ((not @t24)))
18.34/18.57	(step @p18 :rule arith-elim-lt :args (tptp.u tptp.v))
18.34/18.57	(step @p19 :rule trans :premises (@p18 @p17))
18.34/18.57	(step @p20 :rule eq_resolve :premises (@p4 @p19))
18.34/18.57	(step @p21 :rule bool-impl-elim :args (@t26 @t28))
18.34/18.57	(step @p22 :rule cong :premises (@p21) :args ((forall @t8 (=> @t26 @t28))))
18.34/18.57	(step @p23 :rule arith_poly_norm :args ((= (* 1/1 (- @t4 @t2)) (* 1/1 (- @t27 0)))))
18.34/18.57	(step @p24 :rule arith_poly_norm_rel :premises (@p23) :args ((= @t5 @t28)))
18.34/18.57	(step @p25 :rule arith_poly_norm :args ((= (* 1/1 (- @t3 @t1)) (* 1/1 (- @t25 0)))))
18.34/18.57	(step @p26 :rule arith_poly_norm_rel :premises (@p25) :args ((= @t6 @t26)))
18.34/18.57	(step @p27 :rule cong :premises (@p26 @p24) :args (@t7))
18.34/18.57	(step @p28 :rule cong :premises (@p27) :args (@t9))
18.34/18.57	(step @p29 :rule trans :premises (@p28 @p22))
18.34/18.57	(step @p30 :rule eq_resolve :premises (@p1 @p29))
18.34/18.57	(step @p31 :rule refl :args (0))
18.34/18.57	(step @p32 :rule arith_poly_norm :args ((= @t31 @t30)))
18.34/18.57	(step @p33 :rule cong :premises (@p32 @p31) :args (@t32))
18.34/18.57	(step @p34 :rule arith_poly_norm :args ((= @t35 @t34)))
18.34/18.57	(step @p35 :rule cong :premises (@p34 @p31) :args (@t36))
18.34/18.57	(step @p36 :rule cong :premises (@p35) :args (@t37))
18.34/18.57	(step @p37 :rule nary_cong :premises (@p36 @p33) :args (@t38))
18.34/18.57	(step @p38 :rule refl :args (@t39))
18.34/18.57	(step @p39 :rule cong :premises (@p38 @p37) :args ((=> @t39 @t38)))
18.34/18.57	(assume-push @p131 @t39)
18.34/18.57	(step @p41 :rule instantiate :premises (@p30) :args ((@list tptp.y tptp.x)))
18.34/18.57	(step-pop @p131 :rule scope :premises (@p41))
18.34/18.57	(step @p42 :rule process_scope :premises (@p131) :args (@t38))
18.34/18.57	(step @p44 :rule eq_resolve :premises (@p42 @p39))
18.34/18.57	(step @p45 :rule implies_elim :premises (@p44))
18.34/18.57	(step @p46 :rule chain_resolution :premises (@p45 @p30) :args ((@list false) (@list @t39)))
18.34/18.57	(step @p47 :rule arith_poly_norm :args ((= (* -1/1 (- tptp.y tptp.x)) (* -1/1 (- @t34 0)))))
18.34/18.57	(step @p48 :rule arith_poly_norm_rel :premises (@p47) :args ((= (>= tptp.y tptp.x) @t40)))
18.34/18.57	(step @p49 :rule arith-elim-leq :args (tptp.x tptp.y))
18.34/18.57	(step @p50 :rule trans :premises (@p49 @p48))
18.34/18.57	(step @p51 :rule eq_resolve :premises (@p3 @p50))
18.34/18.57	(step @p52 :rule cnf_or_pos :args (@t43))
18.34/18.57	(step @p53 :rule reordering :premises (@p52) :args ((or @t42 @t41 (not @t43))))
18.34/18.57	(step @p54 :rule chain_resolution :premises (@p53 @p51 @p46) :args (@t44 @t45))
18.34/18.57	(step @p55 :rule refl :args (@t46))
18.34/18.57	(step @p56 :rule bool-double-not-elim :args (@t23))
18.34/18.57	(step @p57 :rule refl :args (@t47))
18.34/18.57	(step @p58 :rule nary_cong :premises (@p57 @p56 @p55) :args ((or @t47 (not @t48) @t46)))
18.34/18.57	(assume-push @p133 @t18)
18.34/18.57	(assume-push @p134 @t48)
18.34/18.57	(assume-push @p135 @t41)
18.34/18.57	(step @p62 :rule arith-elim-leq :args (@t49 0/1))
18.34/18.57	(step @p63 :rule symm :premises (@p62))
18.34/18.57	(step @p64 :rule cong :premises (@p63) :args ((not @t50)))
18.34/18.57	(step @p65 :rule arith-elim-gt :args (@t49 0/1))
18.34/18.57	(step @p66 :rule trans :premises (@p65 @p64))
18.34/18.57	(step @p67 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 @t49)) (* -1/1 (- @t30 0)))))
18.34/18.57	(step @p68 :rule arith_poly_norm_rel :premises (@p67) :args ((= @t50 @t41)))
18.34/18.57	(step @p69 :rule trans :premises (@p62 @p68))
18.34/18.57	(step @p70 :rule cong :premises (@p69) :args ((not @t51)))
18.34/18.57	(step @p71 :rule trans :premises (@p66 @p70))
18.34/18.57	(step @p72 :rule symm :premises (@p71))
18.34/18.57	(step @p73 :rule trans :premises (@p70 @p72))
18.34/18.57	(assume-push @p136 @t51)
18.34/18.57	(step @p75 :rule evaluate :args ((not true)))
18.34/18.57	(step @p76 :rule evaluate :args ((>= 0/1 0/1)))
18.34/18.57	(step @p77 :rule evaluate :args ((+ 0/1 0/1 0/1)))
18.34/18.57	(step @p78 :rule evaluate :args (@t52))
18.34/18.57	(step @p79 :rule refl :args (0/1))
18.34/18.57	(step @p80 :rule nary_cong :premises (@p79 @p79 @p78) :args (@t53))
18.34/18.57	(step @p81 :rule trans :premises (@p80 @p77))
18.34/18.57	(step @p82 :rule evaluate :args ((+ 0/1 0/1 0/1 0/1)))
18.34/18.57	(step @p83 :rule arith_poly_norm :args ((= @t54 0/1)))
18.34/18.57	(step @p84 :rule arith_poly_norm :args ((= @t55 0/1)))
18.34/18.57	(step @p85 :rule arith_poly_norm :args ((= @t56 0/1)))
18.34/18.57	(step @p86 :rule arith_poly_norm :args ((= @t57 0/1)))
18.34/18.57	(step @p87 :rule nary_cong :premises (@p86 @p85 @p84 @p83) :args (@t58))
18.34/18.57	(step @p88 :rule trans :premises (@p87 @p82))
18.34/18.57	(step @p89 :rule arith_poly_norm :args ((= @t59 @t58)))
18.34/18.57	(step @p90 :rule trans :premises (@p89 @p88))
18.34/18.57	(step @p91 :rule cong :premises (@p90 @p81) :args (@t60))
18.34/18.57	(step @p92 :rule trans :premises (@p91 @p76))
18.34/18.57	(step @p93 :rule cong :premises (@p92) :args ((not @t60)))
18.34/18.57	(step @p94 :rule trans :premises (@p93 @p75))
18.34/18.57	(step @p95 :rule arith-elim-lt :args (@t59 @t53))
18.34/18.57	(step @p96 :rule trans :premises (@p95 @p94))
18.34/18.57	(step @p97 :rule arith_mult_neg :args (-1/1 @t61))
18.34/18.57	(step @p98 :rule arith_poly_norm :args ((= (* 1/1 (- @t17 0/1)) @t19)))
18.34/18.57	(step @p99 :rule arith_poly_norm_rel :premises (@p98) :args ((= @t61 @t18)))
18.34/18.57	(step @p100 :rule symm :premises (@p99))
18.34/18.57	(step @p101 :rule eq_resolve :premises (@p14 @p100))
18.34/18.57	(step @p102 :rule evaluate :args ((< -1/1 0/1)))
18.34/18.57	(step @p103 :rule true_elim :premises (@p102))
18.34/18.57	(step @p104 :rule and_intro :premises (@p103 @p101))
18.34/18.57	(step @p105 :rule modus_ponens :premises (@p104 @p97))
18.34/18.57	(step @p106 :rule arith_poly_norm :args ((= (* 1/1 (- @t21 0/1)) @t22)))
18.34/18.57	(step @p107 :rule arith_poly_norm_rel :premises (@p106) :args ((= @t62 @t23)))
18.34/18.57	(step @p108 :rule cong :premises (@p107) :args ((not @t62)))
18.34/18.57	(step @p109 :rule arith-elim-lt :args (@t21 0/1))
18.34/18.57	(step @p110 :rule trans :premises (@p109 @p108))
18.34/18.57	(step @p111 :rule symm :premises (@p110))
18.34/18.57	(step @p112 :rule eq_resolve :premises (@p20 @p111))
18.34/18.57	(step @p113 :rule symm :premises (@p69))
18.34/18.57	(step @p114 :rule chain_resolution :premises (@p53 @p51 @p46) :args (@t44 @t45))
18.34/18.57	(step @p115 :rule eq_resolve :premises (@p114 @p113))
18.34/18.57	(step @p116 :rule arith_sum_ub :premises (@p115 @p112 @p105))
18.34/18.57	(step @p117 false :rule eq_resolve :premises (@p116 @p96))
18.34/18.57	(step-pop @p136 :rule scope :premises (@p117))
18.34/18.57	(step @p118 :rule process_scope :premises (@p136) :args (false))
18.34/18.57	(step @p120 :rule eq_resolve :premises (@p118 @p73))
18.34/18.57	(step @p121 :rule eq_resolve :premises (@p120 @p66))
18.34/18.57	(step @p113 :rule symm :premises (@p69))
18.34/18.57	(step @p122 :rule eq_resolve :premises (@p54 @p113))
18.34/18.57	(step @p123 false :rule contra :premises (@p122 @p121))
18.34/18.57	(step-pop @p137 :rule scope :premises (@p123))
18.34/18.57	(step-pop @p138 :rule scope :premises (@p137))
18.34/18.57	(step-pop @p139 :rule scope :premises (@p138))
18.34/18.57	(step @p124 :rule process_scope :premises (@p139) :args (false))
18.34/18.57	(step @p128 :rule not_and :premises (@p124))
18.34/18.57	(step @p129 :rule eq_resolve :premises (@p128 @p58))
18.34/18.57	(step @p130 false :rule chain_resolution :premises (@p129 @p54 @p20 @p14) :args ((@list false true false) (@list @t41 @t23 @t18)))
18.34/18.57	)
18.34/18.57	% SZS output end Proof
18.34/18.57	% cvc5 exiting
18.34/18.58	EOF