0.11/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.13	% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.13/0.34	% Computer : n031.cluster.edu
0.13/0.34	% Model    : x86_64 x86_64
0.13/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory   : 8042.1875MB
0.13/0.34	% 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 : Fri Sep  5 19:02:52 EDT 2025
0.13/0.34	% CPUTime  : 
0.19/0.48	%----Proving TH0
0.53/0.74	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
0.53/0.74	% SZS status Theorem
0.53/0.74	% SZS output start Proof
0.53/0.74	(
0.53/0.74	(declare-type $$unsorted ())
0.53/0.74	(define @t1 () (@var "Y" $$unsorted))
0.53/0.74	(define @t2 () (@var "X" $$unsorted))
0.53/0.74	(define @t3 () (= @t2 @t1))
0.53/0.74	(define @t4 () (@var "R" (-> $$unsorted $$unsorted Bool)))
0.53/0.74	(define @t5 () (_ (_ @t4 @t2) @t1))
0.53/0.74	(define @t6 () (@var "Z" $$unsorted))
0.53/0.74	(define @t7 () (_ (_ @t4 @t6) @t6))
0.53/0.74	(define @t8 () (@list @t6))
0.53/0.74	(define @t9 () (forall @t8 @t7))
0.53/0.74	(define @t10 () (=> @t9 @t5))
0.53/0.74	(define @t11 () (@list @t4))
0.53/0.74	(define @t12 () (forall @t11 @t10))
0.53/0.74	(define @t13 () (=> @t12 @t3))
0.53/0.74	(define @t14 () (@list @t2 @t1))
0.53/0.74	(define @t15 () (forall @t14 @t13))
0.53/0.74	(define @t16 () (not @t15))
0.53/0.74	(define @t17 () (_ @t4 @t2 @t1))
0.53/0.74	(define @t18 () (_ @t4 @t6 @t6))
0.53/0.74	(define @t19 () (forall @t8 @t18))
0.53/0.74	(define @t20 () (not @t19))
0.53/0.74	(define @t21 () (forall @t11 (or @t20 @t17)))
0.53/0.74	(define @t22 () (or @t20 @t5))
0.53/0.74	(define @t23 () (forall @t14 (or (not @t21) @t3)))
0.53/0.74	(define @t24 () (@quantifiers_skolemize @t23 1))
0.53/0.74	(define @t25 () (@quantifiers_skolemize @t23 0))
0.53/0.74	(define @t26 () (forall @t11 (or @t20 (_ @t4 @t25 @t24))))
0.53/0.74	(define @t27 () (= @t25 @t24))
0.53/0.74	(define @t28 () (not @t26))
0.53/0.74	(define @t29 () (or @t28 @t27))
0.53/0.74	(define @t30 () (@list true))
0.53/0.74	(define @t31 () (@list @t29))
0.53/0.74	(define @t32 () (@var "BOUND_VARIABLE_49759" $$unsorted))
0.53/0.74	(define @t33 () (@var "BOUND_VARIABLE_49758" $$unsorted))
0.53/0.74	(define @t34 () (lambda (@list @t33 @t32) (= @t33 @t32)))
0.53/0.74	(define @t35 () (_ @t34 @t25 @t24))
0.53/0.74	(define @t36 () (_ @t34 @t6 @t6))
0.53/0.74	(define @t37 () (forall @t8 @t36))
0.53/0.74	(define @t38 () (not @t37))
0.53/0.74	(define @t39 () (or @t38 @t35))
0.53/0.74	(assume @p1 @t16)
0.53/0.74	(assume @p2 true)
0.53/0.74	(step @p3 :rule bool-impl-elim :args (@t21 @t3))
0.53/0.74	(step @p4 :rule cong :premises (@p3) :args ((forall @t14 (=> @t21 @t3))))
0.53/0.74	(step @p5 :rule refl :args (@t3))
0.53/0.74	(step @p6 :rule refl :args (@t17))
0.53/0.74	(step @p7 :rule refl :args (@t5))
0.53/0.74	(step @p8 :rule cong :premises (@p7 @p6) :args ((= @t5 @t17)))
0.53/0.74	(step @p9 :rule symm :premises (@p8))
0.53/0.74	(step @p10 :rule eq_resolve :premises (@p7 @p9))
0.53/0.74	(step @p11 :rule refl :args (@t20))
0.53/0.74	(step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t22))
0.53/0.74	(step @p13 :rule cong :premises (@p12) :args ((forall @t11 @t22)))
0.53/0.74	(step @p14 :rule bool-impl-elim :args (@t19 @t5))
0.53/0.74	(step @p15 :rule cong :premises (@p14) :args ((forall @t11 (=> @t19 @t5))))
0.53/0.74	(step @p16 :rule trans :premises (@p15 @p13))
0.53/0.74	(step @p17 :rule refl :args (@t5))
0.53/0.74	(step @p18 :rule refl :args (@t18))
0.53/0.74	(step @p19 :rule refl :args (@t7))
0.53/0.74	(step @p20 :rule cong :premises (@p19 @p18) :args ((= @t7 @t18)))
0.53/0.74	(step @p21 :rule symm :premises (@p20))
0.53/0.74	(step @p22 :rule eq_resolve :premises (@p19 @p21))
0.53/0.74	(step @p23 :rule cong :premises (@p22) :args (@t9))
0.53/0.74	(step @p24 :rule cong :premises (@p23 @p17) :args (@t10))
0.53/0.74	(step @p25 :rule cong :premises (@p24) :args (@t12))
0.53/0.74	(step @p26 :rule trans :premises (@p25 @p16))
0.53/0.74	(step @p27 :rule cong :premises (@p26 @p5) :args (@t13))
0.53/0.74	(step @p28 :rule cong :premises (@p27) :args (@t15))
0.53/0.74	(step @p29 :rule trans :premises (@p28 @p4))
0.53/0.74	(step @p30 :rule cong :premises (@p29) :args (@t16))
0.53/0.74	(step @p31 :rule eq_resolve :premises (@p1 @p30))
0.53/0.74	(step @p32 :rule skolemize :premises (@p31))
0.53/0.74	(step @p33 :rule bool-double-not-elim :args (@t26))
0.53/0.74	(step @p34 :rule refl :args (@t29))
0.53/0.74	(step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t29 (not @t28))))
0.53/0.74	(step @p36 :rule cnf_or_neg :args (@t29 0))
0.53/0.74	(step @p37 :rule eq_resolve :premises (@p36 @p35))
0.53/0.74	(step @p38 :rule reordering :premises (@p37) :args ((or @t26 @t29)))
0.53/0.74	(step @p39 :rule chain_resolution :premises (@p38 @p32) :args (@t30 @t31))
0.53/0.74	(step @p40 :rule cnf_or_neg :args (@t29 1))
0.53/0.74	(step @p41 :rule chain_resolution :premises (@p40 @p32) :args (@t30 @t31))
0.53/0.74	(step @p42 :rule aci_norm :args ((= (or false @t27) @t27)))
0.53/0.74	(step @p43 :rule beta-reduce :args ((= @t35 @t27)))
0.53/0.74	(step @p44 :rule evaluate :args ((not true)))
0.53/0.74	(step @p45 :rule quant-unused-vars :args ((= (forall @t8 true) true)))
0.53/0.74	(step @p46 :rule eq-refl :args (@t6))
0.53/0.74	(step @p47 :rule beta-reduce :args ((= @t36 (= @t6 @t6))))
0.53/0.74	(step @p48 :rule trans :premises (@p47 @p46))
0.53/0.74	(step @p49 :rule cong :premises (@p48) :args (@t37))
0.53/0.74	(step @p50 :rule trans :premises (@p49 @p45))
0.53/0.74	(step @p51 :rule cong :premises (@p50) :args (@t38))
0.53/0.74	(step @p52 :rule trans :premises (@p51 @p44))
0.53/0.74	(step @p53 :rule nary_cong :premises (@p52 @p43) :args (@t39))
0.53/0.74	(step @p54 :rule trans :premises (@p53 @p42))
0.53/0.74	(step @p55 :rule refl :args (@t26))
0.53/0.74	(step @p56 :rule cong :premises (@p55 @p54) :args ((=> @t26 @t39)))
0.53/0.74	(assume-push @p64 @t26)
0.53/0.74	(step @p58 :rule instantiate :premises (@p39) :args ((@list @t34)))
0.53/0.74	(step-pop @p64 :rule scope :premises (@p58))
0.53/0.74	(step @p59 :rule process_scope :premises (@p64) :args (@t39))
0.53/0.74	(step @p61 :rule eq_resolve :premises (@p59 @p56))
0.53/0.74	(step @p62 :rule implies_elim :premises (@p61))
0.53/0.74	(step @p63 false :rule chain_resolution :premises (@p62 @p41 @p39) :args ((@list true false) (@list @t27 @t26)))
0.53/0.74	)
0.53/0.74	% SZS output end Proof
0.53/0.74	% cvc5 exiting
0.53/0.74	EOF