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
0.12/0.33	% 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 12:49:37 EDT 2025
0.12/0.33	% CPUTime  : 
0.19/0.47	%----Proving TF0_ARI
0.41/0.58	--- Run --finite-model-find --decision=internal at 18...
0.41/0.58	--- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 24...
0.41/0.58	% SZS status Theorem
0.41/0.58	% SZS output start Proof
0.41/0.58	(
0.41/0.58	(declare-const tptp.pow2 (-> Real Bool))
0.41/0.58	(define @t1 () (tptp.pow2 12/1))
0.41/0.58	(define @t2 () (not @t1))
0.41/0.58	(define @t3 () (@var "X" Real))
0.41/0.58	(define @t4 () (= @t3 1/1))
0.41/0.58	(define @t5 () (@var "Y" Real))
0.41/0.58	(define @t6 () (tptp.pow2 @t5))
0.41/0.58	(define @t7 () (* 2/1 @t5))
0.41/0.58	(define @t8 () (= @t7 @t3))
0.41/0.58	(define @t9 () (and @t8 @t6))
0.41/0.58	(define @t10 () (@list @t5))
0.41/0.58	(define @t11 () (exists @t10 @t9))
0.41/0.58	(define @t12 () (and (<= 2/1 @t3) @t11))
0.41/0.58	(define @t13 () (or @t12 @t4))
0.41/0.58	(define @t14 () (tptp.pow2 @t3))
0.41/0.58	(define @t15 () (= @t14 @t13))
0.41/0.58	(define @t16 () (@list @t3))
0.41/0.58	(define @t17 () (forall @t16 @t15))
0.41/0.58	(define @t18 () (=> @t17 @t2))
0.41/0.58	(define @t19 () (not @t18))
0.41/0.58	(define @t20 () (* 1/2 @t3))
0.41/0.58	(define @t21 () (tptp.pow2 @t20))
0.41/0.58	(define @t22 () (not @t21))
0.41/0.58	(define @t23 () (* @t3 1/2))
0.41/0.58	(define @t24 () (tptp.pow2 @t23))
0.41/0.58	(define @t25 () (not @t24))
0.41/0.58	(define @t26 () (* 2 @t23))
0.41/0.58	(define @t27 () (= @t3 @t26))
0.41/0.58	(define @t28 () (not @t27))
0.41/0.58	(define @t29 () (or @t28 @t25))
0.41/0.58	(define @t30 () (not @t6))
0.41/0.58	(define @t31 () (* 2 @t5))
0.41/0.58	(define @t32 () (= @t3 @t31))
0.41/0.58	(define @t33 () (not @t32))
0.41/0.58	(define @t34 () (= @t5 @t23))
0.41/0.58	(define @t35 () (- @t3 @t31))
0.41/0.58	(define @t36 () (or @t33 @t33 @t30))
0.41/0.58	(define @t37 () (or @t33 @t30))
0.41/0.58	(define @t38 () (and @t32 @t6))
0.41/0.58	(define @t39 () (forall @t10 (not @t38)))
0.41/0.58	(define @t40 () (not @t39))
0.41/0.58	(define @t41 () (>= @t3 2))
0.41/0.58	(define @t42 () (tptp.pow2 3/2))
0.41/0.58	(define @t43 () (= 3/1 1/1))
0.41/0.58	(define @t44 () (* 1/2 3/1))
0.41/0.58	(define @t45 () (tptp.pow2 @t44))
0.41/0.58	(define @t46 () (>= 3/1 2))
0.41/0.58	(define @t47 () (and @t46 @t45))
0.41/0.58	(define @t48 () (or @t47 @t43))
0.41/0.58	(define @t49 () (tptp.pow2 3/1))
0.41/0.58	(define @t50 () (= @t49 @t48))
0.41/0.58	(define @t51 () (forall @t16 (= @t14 (or (and @t41 @t21) @t4))))
0.41/0.58	(define @t52 () (@list false))
0.41/0.58	(define @t53 () (@list @t51))
0.41/0.58	(define @t54 () (= 6/1 1/1))
0.41/0.58	(define @t55 () (* 1/2 6/1))
0.41/0.58	(define @t56 () (tptp.pow2 @t55))
0.41/0.58	(define @t57 () (>= 6/1 2))
0.41/0.58	(define @t58 () (and @t57 @t56))
0.41/0.58	(define @t59 () (or @t58 @t54))
0.41/0.58	(define @t60 () (tptp.pow2 6/1))
0.41/0.58	(define @t61 () (= @t60 @t59))
0.41/0.58	(define @t62 () (= 12/1 1/1))
0.41/0.58	(define @t63 () (* 1/2 12/1))
0.41/0.58	(define @t64 () (tptp.pow2 @t63))
0.41/0.58	(define @t65 () (>= 12/1 2))
0.41/0.58	(define @t66 () (and @t65 @t64))
0.41/0.58	(define @t67 () (or @t66 @t62))
0.41/0.58	(define @t68 () (= @t1 @t67))
0.41/0.58	(define @t69 () (= @t1 @t60))
0.41/0.58	(define @t70 () (@list false false))
0.41/0.58	(define @t71 () (= @t60 @t49))
0.41/0.58	(define @t72 () (= @t49 @t42))
0.41/0.58	(define @t73 () (= 3/2 1/1))
0.41/0.58	(define @t74 () (* 1/2 3/2))
0.41/0.58	(define @t75 () (tptp.pow2 @t74))
0.41/0.58	(define @t76 () (>= 3/2 2))
0.41/0.58	(define @t77 () (and @t76 @t75))
0.41/0.58	(define @t78 () (or @t77 @t73))
0.41/0.58	(define @t79 () (= @t42 @t78))
0.41/0.58	(assume @p1 @t19)
0.41/0.58	(assume @p2 true)
0.41/0.58	(step @p3 :rule refl :args (@t2))
0.41/0.58	(step @p4 :rule refl :args (@t4))
0.41/0.58	(step @p5 :rule bool-double-not-elim :args (@t21))
0.41/0.58	(step @p6 :rule aci_norm :args ((= (or false @t22) @t22)))
0.41/0.58	(step @p7 :rule arith_poly_norm :args ((= @t23 @t20)))
0.41/0.58	(step @p8 :rule cong :premises (@p7) :args (@t24))
0.41/0.58	(step @p9 :rule cong :premises (@p8) :args (@t25))
0.41/0.58	(step @p10 :rule evaluate :args ((not true)))
0.41/0.58	(step @p11 :rule eq-refl :args (@t3))
0.41/0.58	(step @p12 :rule arith_poly_norm :args ((= (* 2 @t20) @t3)))
0.41/0.58	(step @p13 :rule refl :args (2))
0.41/0.58	(step @p14 :rule nary_cong :premises (@p13 @p7) :args (@t26))
0.41/0.58	(step @p15 :rule trans :premises (@p14 @p12))
0.41/0.58	(step @p16 :rule refl :args (@t3))
0.41/0.58	(step @p17 :rule cong :premises (@p16 @p15) :args (@t27))
0.41/0.58	(step @p18 :rule trans :premises (@p17 @p11))
0.41/0.58	(step @p19 :rule cong :premises (@p18) :args (@t28))
0.41/0.58	(step @p20 :rule trans :premises (@p19 @p10))
0.41/0.58	(step @p21 :rule nary_cong :premises (@p20 @p9) :args (@t29))
0.41/0.58	(step @p22 :rule trans :premises (@p21 @p6))
0.41/0.58	(step @p23 :rule quant-var-elim-eq :args ((= (forall @t10 (or (not @t34) @t33 @t30)) @t29)))
0.41/0.58	(step @p24 :rule refl :args (@t30))
0.41/0.58	(step @p25 :rule refl :args (@t33))
0.41/0.58	(step @p26 :rule arith_poly_norm :args ((= (* -1/2 @t35) (* 1/1 (- @t5 @t23)))))
0.41/0.58	(step @p27 :rule arith_poly_norm_rel :premises (@p26) :args ((= @t32 @t34)))
0.41/0.58	(step @p28 :rule cong :premises (@p27) :args (@t33))
0.41/0.58	(step @p29 :rule nary_cong :premises (@p28 @p25 @p24) :args (@t36))
0.41/0.58	(step @p30 :rule aci_norm :args ((= @t37 @t36)))
0.41/0.58	(step @p31 :rule trans :premises (@p30 @p29))
0.41/0.58	(step @p32 :rule cong :premises (@p31) :args ((forall @t10 @t37)))
0.41/0.58	(step @p33 :rule trans :premises (@p32 @p23))
0.41/0.58	(step @p34 :rule trans :premises (@p33 @p22))
0.41/0.58	(step @p35 :rule bool-and-de-morgan :args (@t32 @t6 true))
0.41/0.58	(step @p36 :rule cong :premises (@p35) :args (@t39))
0.41/0.58	(step @p37 :rule trans :premises (@p36 @p34))
0.41/0.58	(step @p38 :rule cong :premises (@p37) :args (@t40))
0.41/0.58	(step @p39 :rule trans :premises (@p38 @p5))
0.41/0.58	(step @p40 :rule exists-elim :args ((= (exists @t10 @t38) @t40)))
0.41/0.58	(step @p41 :rule trans :premises (@p40 @p39))
0.41/0.58	(step @p42 :rule refl :args (@t6))
0.41/0.58	(step @p43 :rule arith_poly_norm :args ((= (* 1/1 (- @t31 @t3)) (* -1/1 @t35))))
0.41/0.58	(step @p44 :rule arith_poly_norm_rel :premises (@p43) :args ((= (= @t31 @t3) @t32)))
0.41/0.58	(step @p45 :rule arith_poly_norm :args ((= @t7 @t31)))
0.41/0.58	(step @p46 :rule cong :premises (@p45 @p16) :args (@t8))
0.41/0.58	(step @p47 :rule trans :premises (@p46 @p44))
0.41/0.58	(step @p48 :rule nary_cong :premises (@p47 @p42) :args (@t9))
0.41/0.58	(step @p49 :rule cong :premises (@p48) :args (@t11))
0.41/0.58	(step @p50 :rule trans :premises (@p49 @p41))
0.41/0.58	(step @p51 :rule arith_poly_norm :args ((= (* -2/1 (- @t3 2/1)) (* -2/1 (- @t3 2)))))
0.41/0.58	(step @p52 :rule arith_poly_norm_rel :premises (@p51) :args ((= (>= @t3 2/1) @t41)))
0.41/0.58	(step @p53 :rule arith-elim-leq :args (2/1 @t3))
0.41/0.58	(step @p54 :rule trans :premises (@p53 @p52))
0.41/0.58	(step @p55 :rule nary_cong :premises (@p54 @p50) :args (@t12))
0.41/0.58	(step @p56 :rule nary_cong :premises (@p55 @p4) :args (@t13))
0.41/0.58	(step @p57 :rule refl :args (@t14))
0.41/0.58	(step @p58 :rule cong :premises (@p57 @p56) :args (@t15))
0.41/0.58	(step @p59 :rule cong :premises (@p58) :args (@t17))
0.41/0.58	(step @p60 :rule cong :premises (@p59 @p3) :args (@t18))
0.41/0.58	(step @p61 :rule cong :premises (@p60) :args (@t19))
0.41/0.58	(step @p62 :rule eq_resolve :premises (@p1 @p61))
0.41/0.58	(step @p63 :rule not_implies_elim1 :premises (@p62))
0.41/0.58	(step @p64 :rule aci_norm :args ((= (or @t42 false) @t42)))
0.41/0.58	(step @p65 :rule evaluate :args (@t43))
0.41/0.58	(step @p66 :rule aci_norm :args ((= (and true @t42) @t42)))
0.41/0.58	(step @p67 :rule evaluate :args (@t44))
0.41/0.58	(step @p68 :rule cong :premises (@p67) :args (@t45))
0.41/0.58	(step @p69 :rule evaluate :args (@t46))
0.41/0.58	(step @p70 :rule nary_cong :premises (@p69 @p68) :args (@t47))
0.41/0.58	(step @p71 :rule trans :premises (@p70 @p66))
0.41/0.58	(step @p72 :rule nary_cong :premises (@p71 @p65) :args (@t48))
0.41/0.58	(step @p73 :rule trans :premises (@p72 @p64))
0.41/0.58	(step @p74 :rule refl :args (@t49))
0.41/0.58	(step @p75 :rule cong :premises (@p74 @p73) :args (@t50))
0.41/0.58	(step @p76 :rule refl :args (@t51))
0.41/0.58	(step @p77 :rule cong :premises (@p76 @p75) :args ((=> @t51 @t50)))
0.41/0.58	(assume-push @p158 @t51)
0.41/0.58	(step @p79 :rule instantiate :premises (@p63) :args ((@list 3/1)))
0.41/0.58	(step-pop @p158 :rule scope :premises (@p79))
0.41/0.58	(step @p80 :rule process_scope :premises (@p158) :args (@t50))
0.41/0.58	(step @p82 :rule eq_resolve :premises (@p80 @p77))
0.41/0.58	(step @p83 :rule implies_elim :premises (@p82))
0.41/0.58	(step @p84 :rule chain_resolution :premises (@p83 @p63) :args (@t52 @t53))
0.41/0.58	(step @p85 :rule aci_norm :args ((= (or @t49 false) @t49)))
0.41/0.58	(step @p86 :rule evaluate :args (@t54))
0.41/0.58	(step @p87 :rule aci_norm :args ((= (and true @t49) @t49)))
0.41/0.58	(step @p88 :rule evaluate :args (@t55))
0.41/0.58	(step @p89 :rule cong :premises (@p88) :args (@t56))
0.41/0.58	(step @p90 :rule evaluate :args (@t57))
0.41/0.58	(step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t58))
0.41/0.58	(step @p92 :rule trans :premises (@p91 @p87))
0.41/0.58	(step @p93 :rule nary_cong :premises (@p92 @p86) :args (@t59))
0.41/0.58	(step @p94 :rule trans :premises (@p93 @p85))
0.41/0.58	(step @p95 :rule refl :args (@t60))
0.41/0.58	(step @p96 :rule cong :premises (@p95 @p94) :args (@t61))
0.41/0.58	(step @p97 :rule cong :premises (@p76 @p96) :args ((=> @t51 @t61)))
0.41/0.58	(assume-push @p160 @t51)
0.41/0.58	(step @p99 :rule instantiate :premises (@p63) :args ((@list 6/1)))
0.41/0.58	(step-pop @p160 :rule scope :premises (@p99))
0.41/0.58	(step @p100 :rule process_scope :premises (@p160) :args (@t61))
0.41/0.58	(step @p102 :rule eq_resolve :premises (@p100 @p97))
0.41/0.58	(step @p103 :rule implies_elim :premises (@p102))
0.41/0.58	(step @p104 :rule chain_resolution :premises (@p103 @p63) :args (@t52 @t53))
0.41/0.59	(step @p105 :rule aci_norm :args ((= (or @t60 false) @t60)))
0.41/0.59	(step @p106 :rule evaluate :args (@t62))
0.41/0.59	(step @p107 :rule aci_norm :args ((= (and true @t60) @t60)))
0.41/0.59	(step @p108 :rule evaluate :args (@t63))
0.41/0.59	(step @p109 :rule cong :premises (@p108) :args (@t64))
0.41/0.59	(step @p110 :rule evaluate :args (@t65))
0.41/0.59	(step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t66))
0.41/0.59	(step @p112 :rule trans :premises (@p111 @p107))
0.41/0.59	(step @p113 :rule nary_cong :premises (@p112 @p106) :args (@t67))
0.41/0.59	(step @p114 :rule trans :premises (@p113 @p105))
0.41/0.59	(step @p115 :rule refl :args (@t1))
0.41/0.59	(step @p116 :rule cong :premises (@p115 @p114) :args (@t68))
0.41/0.59	(step @p117 :rule cong :premises (@p76 @p116) :args ((=> @t51 @t68)))
0.41/0.59	(assume-push @p162 @t51)
0.41/0.59	(step @p119 :rule instantiate :premises (@p63) :args ((@list 12/1)))
0.41/0.59	(step-pop @p162 :rule scope :premises (@p119))
0.41/0.59	(step @p120 :rule process_scope :premises (@p162) :args (@t68))
0.41/0.59	(step @p122 :rule eq_resolve :premises (@p120 @p117))
0.41/0.59	(step @p123 :rule implies_elim :premises (@p122))
0.41/0.59	(step @p124 :rule chain_resolution :premises (@p123 @p63) :args (@t52 @t53))
0.41/0.59	(step @p125 :rule not_implies_elim2 :premises (@p62))
0.41/0.59	(step @p126 :rule not_not_elim :premises (@p125))
0.41/0.59	(step @p127 :rule cnf_equiv_pos1 :args (@t69))
0.41/0.59	(step @p128 :rule reordering :premises (@p127) :args ((or @t2 @t60 (not @t69))))
0.41/0.59	(step @p129 :rule chain_resolution :premises (@p128 @p126 @p124) :args (@t70 (@list @t1 @t69)))
0.41/0.59	(step @p130 :rule cnf_equiv_pos1 :args (@t71))
0.41/0.59	(step @p131 :rule reordering :premises (@p130) :args ((or (not @t60) @t49 (not @t71))))
0.41/0.59	(step @p132 :rule chain_resolution :premises (@p131 @p129 @p104) :args (@t70 (@list @t60 @t71)))
0.41/0.59	(step @p133 :rule cnf_equiv_pos1 :args (@t72))
0.41/0.59	(step @p134 :rule reordering :premises (@p133) :args ((or (not @t49) @t42 (not @t72))))
0.41/0.59	(step @p135 :rule chain_resolution :premises (@p134 @p132 @p84) :args (@t70 (@list @t49 @t72)))
0.41/0.59	(step @p136 :rule bool-eq-false :args (@t42))
0.41/0.59	(step @p137 :rule evaluate :args ((or false false)))
0.41/0.59	(step @p138 :rule evaluate :args (@t73))
0.41/0.59	(step @p139 :rule absorb :args ((= (and false (tptp.pow2 3/4)) false)))
0.41/0.59	(step @p140 :rule evaluate :args (@t74))
0.41/0.59	(step @p141 :rule cong :premises (@p140) :args (@t75))
0.41/0.59	(step @p142 :rule evaluate :args (@t76))
0.41/0.59	(step @p143 :rule nary_cong :premises (@p142 @p141) :args (@t77))
0.41/0.59	(step @p144 :rule trans :premises (@p143 @p139))
0.41/0.59	(step @p145 :rule nary_cong :premises (@p144 @p138) :args (@t78))
0.41/0.59	(step @p146 :rule trans :premises (@p145 @p137))
0.41/0.59	(step @p147 :rule refl :args (@t42))
0.41/0.59	(step @p148 :rule cong :premises (@p147 @p146) :args (@t79))
0.41/0.59	(step @p149 :rule trans :premises (@p148 @p136))
0.41/0.59	(step @p150 :rule cong :premises (@p76 @p149) :args ((=> @t51 @t79)))
0.41/0.59	(assume-push @p164 @t51)
0.41/0.59	(step @p152 :rule instantiate :premises (@p63) :args ((@list 3/2)))
0.41/0.59	(step-pop @p164 :rule scope :premises (@p152))
0.41/0.59	(step @p153 :rule process_scope :premises (@p164) :args (@t79))
0.41/0.59	(step @p155 :rule eq_resolve :premises (@p153 @p150))
0.41/0.59	(step @p156 :rule implies_elim :premises (@p155))
0.41/0.59	(step @p157 false :rule chain_resolution :premises (@p156 @p135 @p63) :args (@t70 (@list @t42 @t51)))
0.41/0.59	)
0.41/0.59	% SZS output end Proof
0.41/0.59	% cvc5 exiting
0.41/0.59	EOF