0.03/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.13	% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.13/0.33	% Computer : n029.cluster.edu
0.13/0.33	% Model    : x86_64 x86_64
0.13/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.33	% Memory   : 8042.1875MB
0.13/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit : 1920
0.13/0.34	% WCLimit  : 240
0.13/0.34	% DateTime : Sat Sep  6 01:56:22 EDT 2025
0.13/0.34	% CPUTime  : 
0.20/0.49	%----Proving TH0
0.20/0.54	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
0.20/0.54	% SZS status Theorem
0.20/0.54	% SZS output start Proof
0.20/0.54	(
0.20/0.54	(declare-type tptp.rat ())
0.20/0.54	(declare-const tptp.is (-> tptp.rat tptp.rat Bool))
0.20/0.54	(declare-const tptp.less (-> tptp.rat tptp.rat Bool))
0.20/0.54	(declare-const tptp.more (-> tptp.rat tptp.rat Bool))
0.20/0.54	(declare-const tptp.x0 tptp.rat)
0.20/0.54	(declare-const tptp.y0 tptp.rat)
0.20/0.54	(define @t1 () (_ (_ tptp.more tptp.x0) tptp.y0))
0.20/0.54	(define @t2 () (not @t1))
0.20/0.54	(define @t3 () (@var "Xy0" tptp.rat))
0.20/0.54	(define @t4 () (@var "Xx0" tptp.rat))
0.20/0.54	(define @t5 () (_ (_ tptp.less @t4) @t3))
0.20/0.54	(define @t6 () (_ (_ tptp.more @t4) @t3))
0.20/0.54	(define @t7 () (not @t6))
0.20/0.54	(define @t8 () (=> @t7 @t5))
0.20/0.54	(define @t9 () (_ (_ tptp.is @t4) @t3))
0.20/0.54	(define @t10 () (not @t9))
0.20/0.54	(define @t11 () (@list @t4 @t3))
0.20/0.54	(define @t12 () (forall @t11 (=> @t10 @t8)))
0.20/0.54	(define @t13 () (_ (_ tptp.is tptp.x0) tptp.y0))
0.20/0.54	(define @t14 () (_ (_ tptp.less tptp.x0) tptp.y0))
0.20/0.54	(define @t15 () (not @t14))
0.20/0.54	(define @t16 () (=> @t15 @t13))
0.20/0.54	(define @t17 () (not @t16))
0.20/0.54	(define @t18 () (@var "Xa" Bool))
0.20/0.54	(define @t19 () (tptp.less @t4 @t3))
0.20/0.54	(define @t20 () (tptp.more @t4 @t3))
0.20/0.54	(define @t21 () (tptp.is @t4 @t3))
0.20/0.54	(define @t22 () (or @t9 @t6 @t5))
0.20/0.54	(define @t23 () (tptp.is tptp.x0 tptp.y0))
0.20/0.54	(define @t24 () (tptp.less tptp.x0 tptp.y0))
0.20/0.54	(define @t25 () (tptp.more tptp.x0 tptp.y0))
0.20/0.54	(define @t26 () (or @t23 @t25 @t24))
0.20/0.54	(define @t27 () (forall @t11 (or @t21 @t20 @t19)))
0.20/0.54	(assume @p1 @t2)
0.20/0.54	(assume @p2 @t12)
0.20/0.54	(assume @p3 @t17)
0.20/0.54	(assume @p4 (forall (@list @t18) (=> (not (not @t18)) @t18)))
0.20/0.54	(assume @p5 true)
0.20/0.54	(step @p6 :rule refl :args (@t19))
0.20/0.54	(step @p7 :rule refl :args (@t5))
0.20/0.54	(step @p8 :rule cong :premises (@p7 @p6) :args ((= @t5 @t19)))
0.20/0.54	(step @p9 :rule symm :premises (@p8))
0.20/0.54	(step @p10 :rule eq_resolve :premises (@p7 @p9))
0.20/0.54	(step @p11 :rule refl :args (@t20))
0.20/0.54	(step @p12 :rule refl :args (@t6))
0.20/0.54	(step @p13 :rule cong :premises (@p12 @p11) :args ((= @t6 @t20)))
0.20/0.54	(step @p14 :rule symm :premises (@p13))
0.20/0.54	(step @p15 :rule eq_resolve :premises (@p12 @p14))
0.20/0.54	(step @p16 :rule refl :args (@t21))
0.20/0.54	(step @p17 :rule refl :args (@t9))
0.20/0.54	(step @p18 :rule cong :premises (@p17 @p16) :args ((= @t9 @t21)))
0.20/0.54	(step @p19 :rule symm :premises (@p18))
0.20/0.54	(step @p20 :rule eq_resolve :premises (@p17 @p19))
0.20/0.54	(step @p21 :rule nary_cong :premises (@p20 @p15 @p10) :args (@t22))
0.20/0.54	(step @p22 :rule cong :premises (@p21) :args ((forall @t11 @t22)))
0.20/0.54	(step @p23 :rule aci_norm :args ((= (or @t9 (or @t6 @t5)) @t22)))
0.20/0.54	(step @p24 :rule bool-double-not-elim :args (@t6))
0.20/0.54	(step @p25 :rule nary_cong :premises (@p24 @p7) :args ((or (not @t7) @t5)))
0.20/0.54	(step @p26 :rule bool-impl-elim :args (@t7 @t5))
0.20/0.54	(step @p27 :rule trans :premises (@p26 @p25))
0.20/0.54	(step @p28 :rule nary_cong :premises (@p17 @p27) :args ((or @t9 @t8)))
0.20/0.54	(step @p29 :rule trans :premises (@p28 @p23))
0.20/0.54	(step @p30 :rule refl :args (@t8))
0.20/0.54	(step @p31 :rule bool-double-not-elim :args (@t9))
0.20/0.54	(step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or (not @t10) @t8)))
0.20/0.54	(step @p33 :rule bool-impl-elim :args (@t10 @t8))
0.20/0.54	(step @p34 :rule trans :premises (@p33 @p32))
0.20/0.54	(step @p35 :rule trans :premises (@p34 @p29))
0.20/0.54	(step @p36 :rule cong :premises (@p35) :args (@t12))
0.20/0.54	(step @p37 :rule trans :premises (@p36 @p22))
0.20/0.54	(step @p38 :rule eq_resolve :premises (@p2 @p37))
0.20/0.54	(step @p39 :rule refl :args (@t23))
0.20/0.54	(step @p40 :rule refl :args (@t13))
0.20/0.54	(step @p41 :rule cong :premises (@p40 @p39) :args ((= @t13 @t23)))
0.20/0.54	(step @p42 :rule symm :premises (@p41))
0.20/0.54	(step @p43 :rule eq_resolve :premises (@p40 @p42))
0.20/0.54	(step @p44 :rule refl :args (@t24))
0.20/0.54	(step @p45 :rule refl :args (@t14))
0.20/0.54	(step @p46 :rule cong :premises (@p45 @p44) :args ((= @t14 @t24)))
0.20/0.54	(step @p47 :rule symm :premises (@p46))
0.20/0.54	(step @p48 :rule eq_resolve :premises (@p45 @p47))
0.20/0.54	(step @p49 :rule cong :premises (@p48) :args (@t15))
0.20/0.54	(step @p50 :rule cong :premises (@p49 @p43) :args (@t16))
0.20/0.54	(step @p51 :rule cong :premises (@p50) :args (@t17))
0.20/0.54	(step @p52 :rule eq_resolve :premises (@p3 @p51))
0.20/0.54	(step @p53 :rule not_implies_elim1 :premises (@p52))
0.20/0.54	(step @p54 :rule not_implies_elim2 :premises (@p52))
0.20/0.54	(step @p55 :rule refl :args (@t25))
0.20/0.54	(step @p56 :rule refl :args (@t1))
0.38/0.55	(step @p57 :rule cong :premises (@p56 @p55) :args ((= @t1 @t25)))
0.38/0.55	(step @p58 :rule symm :premises (@p57))
0.38/0.55	(step @p59 :rule eq_resolve :premises (@p56 @p58))
0.38/0.55	(step @p60 :rule cong :premises (@p59) :args (@t2))
0.38/0.55	(step @p61 :rule eq_resolve :premises (@p1 @p60))
0.38/0.55	(step @p62 :rule cnf_or_pos :args (@t26))
0.38/0.55	(step @p63 :rule reordering :premises (@p62) :args ((or @t25 @t23 @t24 (not @t26))))
0.38/0.55	(step @p64 :rule chain_resolution :premises (@p63 @p61 @p54 @p53) :args ((@list true true true) (@list @t25 @t23 @t24)))
0.38/0.55	(assume-push @p71 @t27)
0.38/0.55	(step @p66 :rule instantiate :premises (@p38) :args ((@list tptp.x0 tptp.y0)))
0.38/0.55	(step-pop @p71 :rule scope :premises (@p66))
0.38/0.55	(step @p67 :rule process_scope :premises (@p71) :args (@t26))
0.38/0.55	(step @p69 :rule implies_elim :premises (@p67))
0.38/0.55	(step @p70 false :rule chain_resolution :premises (@p69 @p64 @p38) :args ((@list true false) (@list @t26 @t27)))
0.38/0.55	)
0.38/0.55	% SZS output end Proof
0.38/0.55	% cvc5 exiting
0.38/0.55	EOF