0.04/0.11	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.04/0.12	% 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
0.12/0.33	% CPULimit : 960
0.12/0.33	% WCLimit  : 120
0.12/0.33	% DateTime : Fri Sep  5 12:47:37 EDT 2025
0.12/0.33	% CPUTime  : 
0.19/0.48	%----Proving TF0_ARI
0.39/0.60	--- Run --finite-model-find --decision=internal at 18...
0.39/0.60	--- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 24...
0.39/0.60	% SZS status Theorem
0.39/0.60	% SZS output start Proof
0.39/0.60	(
0.39/0.60	(declare-const tptp.pow2 (-> Real Bool))
0.39/0.60	(define @t1 () (tptp.pow2 5/1))
0.39/0.60	(define @t2 () (not @t1))
0.39/0.60	(define @t3 () (@var "X" Real))
0.39/0.60	(define @t4 () (tptp.pow2 @t3))
0.39/0.60	(define @t5 () (= @t3 1/1))
0.39/0.60	(define @t6 () (@var "Y" Real))
0.39/0.60	(define @t7 () (* 2/1 @t6))
0.39/0.60	(define @t8 () (= @t7 @t3))
0.39/0.60	(define @t9 () (tptp.pow2 @t6))
0.39/0.60	(define @t10 () (and @t9 @t8))
0.39/0.60	(define @t11 () (@list @t6))
0.39/0.60	(define @t12 () (exists @t11 @t10))
0.39/0.60	(define @t13 () (and (<= 2/1 @t3) @t12))
0.39/0.60	(define @t14 () (or @t13 @t5))
0.39/0.60	(define @t15 () (= @t14 @t4))
0.39/0.60	(define @t16 () (@list @t3))
0.39/0.60	(define @t17 () (forall @t16 @t15))
0.39/0.60	(define @t18 () (=> @t17 @t2))
0.39/0.60	(define @t19 () (not @t18))
0.39/0.60	(define @t20 () (* 1/2 @t3))
0.39/0.60	(define @t21 () (tptp.pow2 @t20))
0.39/0.60	(define @t22 () (>= @t3 2))
0.39/0.60	(define @t23 () (or (and @t22 @t21) @t5))
0.39/0.60	(define @t24 () (not @t21))
0.39/0.60	(define @t25 () (* @t3 1/2))
0.39/0.60	(define @t26 () (* 2 @t25))
0.39/0.60	(define @t27 () (= @t3 @t26))
0.39/0.60	(define @t28 () (not @t27))
0.39/0.60	(define @t29 () (tptp.pow2 @t25))
0.39/0.60	(define @t30 () (not @t29))
0.39/0.60	(define @t31 () (or @t30 @t28))
0.39/0.60	(define @t32 () (* 2 @t6))
0.39/0.60	(define @t33 () (= @t3 @t32))
0.39/0.60	(define @t34 () (not @t33))
0.39/0.60	(define @t35 () (not @t9))
0.39/0.60	(define @t36 () (= @t6 @t25))
0.39/0.60	(define @t37 () (- @t3 @t32))
0.39/0.60	(define @t38 () (or @t34 @t35 @t34))
0.39/0.60	(define @t39 () (or @t35 @t34))
0.39/0.60	(define @t40 () (and @t9 @t33))
0.39/0.60	(define @t41 () (forall @t11 (not @t40)))
0.39/0.60	(define @t42 () (not @t41))
0.39/0.60	(define @t43 () (tptp.pow2 5/4))
0.39/0.60	(define @t44 () (= 5/2 1/1))
0.39/0.60	(define @t45 () (* 1/2 5/2))
0.39/0.60	(define @t46 () (tptp.pow2 @t45))
0.39/0.60	(define @t47 () (>= 5/2 2))
0.39/0.60	(define @t48 () (and @t47 @t46))
0.39/0.60	(define @t49 () (or @t48 @t44))
0.39/0.60	(define @t50 () (tptp.pow2 5/2))
0.39/0.60	(define @t51 () (= @t50 @t49))
0.39/0.60	(define @t52 () (forall @t16 (= @t4 @t23)))
0.39/0.60	(define @t53 () (@list false))
0.39/0.60	(define @t54 () (@list @t52))
0.39/0.60	(define @t55 () (= 5/1 1/1))
0.39/0.60	(define @t56 () (* 1/2 5/1))
0.39/0.60	(define @t57 () (tptp.pow2 @t56))
0.39/0.60	(define @t58 () (>= 5/1 2))
0.39/0.60	(define @t59 () (and @t58 @t57))
0.39/0.60	(define @t60 () (or @t59 @t55))
0.39/0.60	(define @t61 () (= @t1 @t60))
0.39/0.60	(define @t62 () (= @t1 @t50))
0.39/0.60	(define @t63 () (@list false false))
0.39/0.60	(define @t64 () (= @t50 @t43))
0.39/0.60	(define @t65 () (= 5/4 1/1))
0.39/0.60	(define @t66 () (* 1/2 5/4))
0.39/0.60	(define @t67 () (tptp.pow2 @t66))
0.39/0.60	(define @t68 () (>= 5/4 2))
0.39/0.60	(define @t69 () (and @t68 @t67))
0.39/0.60	(define @t70 () (or @t69 @t65))
0.39/0.60	(define @t71 () (= @t43 @t70))
0.39/0.60	(assume @p1 @t19)
0.39/0.60	(assume @p2 true)
0.39/0.60	(step @p3 :rule refl :args (@t2))
0.39/0.60	(step @p4 :rule eq-symm :args (@t23 @t4))
0.39/0.60	(step @p5 :rule refl :args (@t4))
0.39/0.60	(step @p6 :rule refl :args (@t5))
0.39/0.60	(step @p7 :rule bool-double-not-elim :args (@t21))
0.39/0.60	(step @p8 :rule aci_norm :args ((= (or @t24 false) @t24)))
0.39/0.60	(step @p9 :rule evaluate :args ((not true)))
0.39/0.60	(step @p10 :rule eq-refl :args (@t3))
0.39/0.60	(step @p11 :rule arith_poly_norm :args ((= (* 2 @t20) @t3)))
0.39/0.60	(step @p12 :rule arith_poly_norm :args ((= @t25 @t20)))
0.39/0.60	(step @p13 :rule refl :args (2))
0.39/0.60	(step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t26))
0.39/0.60	(step @p15 :rule trans :premises (@p14 @p11))
0.39/0.60	(step @p16 :rule refl :args (@t3))
0.39/0.60	(step @p17 :rule cong :premises (@p16 @p15) :args (@t27))
0.39/0.60	(step @p18 :rule trans :premises (@p17 @p10))
0.39/0.60	(step @p19 :rule cong :premises (@p18) :args (@t28))
0.39/0.60	(step @p20 :rule trans :premises (@p19 @p9))
0.39/0.60	(step @p21 :rule cong :premises (@p12) :args (@t29))
0.39/0.60	(step @p22 :rule cong :premises (@p21) :args (@t30))
0.39/0.60	(step @p23 :rule nary_cong :premises (@p22 @p20) :args (@t31))
0.39/0.60	(step @p24 :rule trans :premises (@p23 @p8))
0.39/0.60	(step @p25 :rule quant-var-elim-eq :args ((= (forall @t11 (or (not @t36) @t35 @t34)) @t31)))
0.39/0.60	(step @p26 :rule refl :args (@t34))
0.39/0.60	(step @p27 :rule refl :args (@t35))
0.39/0.60	(step @p28 :rule arith_poly_norm :args ((= (* -1/2 @t37) (* 1/1 (- @t6 @t25)))))
0.39/0.60	(step @p29 :rule arith_poly_norm_rel :premises (@p28) :args ((= @t33 @t36)))
0.39/0.60	(step @p30 :rule cong :premises (@p29) :args (@t34))
0.39/0.60	(step @p31 :rule nary_cong :premises (@p30 @p27 @p26) :args (@t38))
0.39/0.60	(step @p32 :rule aci_norm :args ((= @t39 @t38)))
0.39/0.60	(step @p33 :rule trans :premises (@p32 @p31))
0.39/0.60	(step @p34 :rule cong :premises (@p33) :args ((forall @t11 @t39)))
0.39/0.60	(step @p35 :rule trans :premises (@p34 @p25))
0.39/0.60	(step @p36 :rule trans :premises (@p35 @p24))
0.39/0.60	(step @p37 :rule bool-and-de-morgan :args (@t9 @t33 true))
0.39/0.60	(step @p38 :rule cong :premises (@p37) :args (@t41))
0.39/0.60	(step @p39 :rule trans :premises (@p38 @p36))
0.39/0.60	(step @p40 :rule cong :premises (@p39) :args (@t42))
0.39/0.60	(step @p41 :rule trans :premises (@p40 @p7))
0.39/0.60	(step @p42 :rule exists-elim :args ((= (exists @t11 @t40) @t42)))
0.39/0.60	(step @p43 :rule trans :premises (@p42 @p41))
0.39/0.60	(step @p44 :rule arith_poly_norm :args ((= (* 1/1 (- @t32 @t3)) (* -1/1 @t37))))
0.39/0.60	(step @p45 :rule arith_poly_norm_rel :premises (@p44) :args ((= (= @t32 @t3) @t33)))
0.39/0.60	(step @p46 :rule arith_poly_norm :args ((= @t7 @t32)))
0.39/0.60	(step @p47 :rule cong :premises (@p46 @p16) :args (@t8))
0.39/0.60	(step @p48 :rule trans :premises (@p47 @p45))
0.39/0.60	(step @p49 :rule refl :args (@t9))
0.39/0.60	(step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t10))
0.39/0.60	(step @p51 :rule cong :premises (@p50) :args (@t12))
0.39/0.60	(step @p52 :rule trans :premises (@p51 @p43))
0.39/0.60	(step @p53 :rule arith_poly_norm :args ((= (* -2/1 (- @t3 2/1)) (* -2/1 (- @t3 2)))))
0.39/0.60	(step @p54 :rule arith_poly_norm_rel :premises (@p53) :args ((= (>= @t3 2/1) @t22)))
0.39/0.60	(step @p55 :rule arith-elim-leq :args (2/1 @t3))
0.39/0.60	(step @p56 :rule trans :premises (@p55 @p54))
0.39/0.60	(step @p57 :rule nary_cong :premises (@p56 @p52) :args (@t13))
0.39/0.60	(step @p58 :rule nary_cong :premises (@p57 @p6) :args (@t14))
0.39/0.60	(step @p59 :rule cong :premises (@p58 @p5) :args (@t15))
0.39/0.60	(step @p60 :rule trans :premises (@p59 @p4))
0.39/0.60	(step @p61 :rule cong :premises (@p60) :args (@t17))
0.39/0.60	(step @p62 :rule cong :premises (@p61 @p3) :args (@t18))
0.39/0.60	(step @p63 :rule cong :premises (@p62) :args (@t19))
0.39/0.60	(step @p64 :rule eq_resolve :premises (@p1 @p63))
0.39/0.60	(step @p65 :rule not_implies_elim1 :premises (@p64))
0.39/0.60	(step @p66 :rule aci_norm :args ((= (or @t43 false) @t43)))
0.39/0.60	(step @p67 :rule evaluate :args (@t44))
0.39/0.60	(step @p68 :rule aci_norm :args ((= (and true @t43) @t43)))
0.39/0.60	(step @p69 :rule evaluate :args (@t45))
0.39/0.60	(step @p70 :rule cong :premises (@p69) :args (@t46))
0.39/0.60	(step @p71 :rule evaluate :args (@t47))
0.39/0.60	(step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t48))
0.39/0.60	(step @p73 :rule trans :premises (@p72 @p68))
0.39/0.60	(step @p74 :rule nary_cong :premises (@p73 @p67) :args (@t49))
0.39/0.60	(step @p75 :rule trans :premises (@p74 @p66))
0.39/0.60	(step @p76 :rule refl :args (@t50))
0.39/0.60	(step @p77 :rule cong :premises (@p76 @p75) :args (@t51))
0.39/0.60	(step @p78 :rule refl :args (@t52))
0.39/0.60	(step @p79 :rule cong :premises (@p78 @p77) :args ((=> @t52 @t51)))
0.39/0.60	(assume-push @p137 @t52)
0.39/0.60	(step @p81 :rule instantiate :premises (@p65) :args ((@list 5/2)))
0.39/0.60	(step-pop @p137 :rule scope :premises (@p81))
0.39/0.60	(step @p82 :rule process_scope :premises (@p137) :args (@t51))
0.39/0.60	(step @p84 :rule eq_resolve :premises (@p82 @p79))
0.39/0.60	(step @p85 :rule implies_elim :premises (@p84))
0.39/0.60	(step @p86 :rule chain_resolution :premises (@p85 @p65) :args (@t53 @t54))
0.39/0.60	(step @p87 :rule aci_norm :args ((= (or @t50 false) @t50)))
0.39/0.60	(step @p88 :rule evaluate :args (@t55))
0.39/0.60	(step @p89 :rule aci_norm :args ((= (and true @t50) @t50)))
0.39/0.60	(step @p90 :rule evaluate :args (@t56))
0.39/0.60	(step @p91 :rule cong :premises (@p90) :args (@t57))
0.39/0.60	(step @p92 :rule evaluate :args (@t58))
0.39/0.60	(step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t59))
0.39/0.60	(step @p94 :rule trans :premises (@p93 @p89))
0.39/0.60	(step @p95 :rule nary_cong :premises (@p94 @p88) :args (@t60))
0.39/0.60	(step @p96 :rule trans :premises (@p95 @p87))
0.39/0.60	(step @p97 :rule refl :args (@t1))
0.39/0.60	(step @p98 :rule cong :premises (@p97 @p96) :args (@t61))
0.39/0.60	(step @p99 :rule cong :premises (@p78 @p98) :args ((=> @t52 @t61)))
0.39/0.60	(assume-push @p139 @t52)
0.39/0.60	(step @p101 :rule instantiate :premises (@p65) :args ((@list 5/1)))
0.39/0.60	(step-pop @p139 :rule scope :premises (@p101))
0.39/0.60	(step @p102 :rule process_scope :premises (@p139) :args (@t61))
0.39/0.60	(step @p104 :rule eq_resolve :premises (@p102 @p99))
0.39/0.60	(step @p105 :rule implies_elim :premises (@p104))
0.39/0.60	(step @p106 :rule chain_resolution :premises (@p105 @p65) :args (@t53 @t54))
0.39/0.60	(step @p107 :rule not_implies_elim2 :premises (@p64))
0.39/0.60	(step @p108 :rule not_not_elim :premises (@p107))
0.39/0.60	(step @p109 :rule cnf_equiv_pos1 :args (@t62))
0.39/0.60	(step @p110 :rule reordering :premises (@p109) :args ((or @t2 @t50 (not @t62))))
0.39/0.60	(step @p111 :rule chain_resolution :premises (@p110 @p108 @p106) :args (@t63 (@list @t1 @t62)))
0.39/0.60	(step @p112 :rule cnf_equiv_pos1 :args (@t64))
0.39/0.60	(step @p113 :rule reordering :premises (@p112) :args ((or (not @t50) @t43 (not @t64))))
0.39/0.60	(step @p114 :rule chain_resolution :premises (@p113 @p111 @p86) :args (@t63 (@list @t50 @t64)))
0.39/0.60	(step @p115 :rule bool-eq-false :args (@t43))
0.39/0.60	(step @p116 :rule evaluate :args ((or false false)))
0.39/0.60	(step @p117 :rule evaluate :args (@t65))
0.39/0.60	(step @p118 :rule absorb :args ((= (and false (tptp.pow2 5/8)) false)))
0.39/0.60	(step @p119 :rule evaluate :args (@t66))
0.39/0.60	(step @p120 :rule cong :premises (@p119) :args (@t67))
0.39/0.60	(step @p121 :rule evaluate :args (@t68))
0.39/0.60	(step @p122 :rule nary_cong :premises (@p121 @p120) :args (@t69))
0.39/0.60	(step @p123 :rule trans :premises (@p122 @p118))
0.39/0.60	(step @p124 :rule nary_cong :premises (@p123 @p117) :args (@t70))
0.39/0.60	(step @p125 :rule trans :premises (@p124 @p116))
0.39/0.60	(step @p126 :rule refl :args (@t43))
0.39/0.60	(step @p127 :rule cong :premises (@p126 @p125) :args (@t71))
0.39/0.60	(step @p128 :rule trans :premises (@p127 @p115))
0.39/0.60	(step @p129 :rule cong :premises (@p78 @p128) :args ((=> @t52 @t71)))
0.39/0.60	(assume-push @p141 @t52)
0.39/0.60	(step @p131 :rule instantiate :premises (@p65) :args ((@list 5/4)))
0.39/0.60	(step-pop @p141 :rule scope :premises (@p131))
0.39/0.60	(step @p132 :rule process_scope :premises (@p141) :args (@t71))
0.39/0.60	(step @p134 :rule eq_resolve :premises (@p132 @p129))
0.39/0.60	(step @p135 :rule implies_elim :premises (@p134))
0.39/0.60	(step @p136 false :rule chain_resolution :premises (@p135 @p114 @p65) :args (@t63 (@list @t43 @t52)))
0.39/0.60	)
0.39/0.60	% SZS output end Proof
0.39/0.60	% cvc5 exiting
0.39/0.60	EOF