0.11/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.12	% Command    : do_cvc5 %s %d THM
0.12/0.33	% Computer : n004.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   : 1440
0.12/0.33	% WCLimit    : 180
0.12/0.33	% DateTime   : Thu Jul  4 06:03:54 EDT 2024
0.12/0.33	% CPUTime    : 
0.19/0.49	%----Proving TH0
0.19/0.51	--- Run --ho-elim --enum-inst at 10...
0.19/0.51	% SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.EVEToGSM3X/cvc5---1.0.5_11620.smt2
0.19/0.51	% SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.EVEToGSM3X/cvc5---1.0.5_11620.smt2
0.19/0.51	(declare-sort tptp.rat 0)
0.19/0.51	(declare-fun tptp.x0 () tptp.rat)
0.19/0.51	(declare-fun tptp.y0 () tptp.rat)
0.19/0.51	(declare-fun tptp.is (tptp.rat tptp.rat) Bool)
0.19/0.51	(declare-fun tptp.more (tptp.rat tptp.rat) Bool)
0.19/0.51	(declare-fun tptp.less (tptp.rat tptp.rat) Bool)
0.19/0.51	(define @v.0.Xx0 () (alf.var "Xx0" tptp.rat))
0.19/0.51	(define @v.0.Xy0 () (alf.var "Xy0" tptp.rat))
0.19/0.51	(define @v.0.Xa () (alf.var "Xa" Bool))
0.19/0.51	(define @t1 () (@list @v.0.Xx0 @v.0.Xy0))
0.19/0.51	(define @t2 () (forall @t1 (=> (not (_ (_ tptp.is @v.0.Xx0) @v.0.Xy0)) (=> (not (_ (_ tptp.more @v.0.Xx0) @v.0.Xy0)) (_ (_ tptp.less @v.0.Xx0) @v.0.Xy0)))))
0.19/0.51	(define @t3 () (not (=> (not (_ (_ tptp.less tptp.x0) tptp.y0)) (_ (_ tptp.is tptp.x0) tptp.y0))))
0.19/0.51	(define @t4 () (not (_ (_ tptp.more tptp.x0) tptp.y0)))
0.19/0.51	(define @t5 () (const 0 (@ho-elim-sort (-> tptp.rat tptp.rat Bool))))
0.19/0.51	(define @t6 () (const 1 (-> (@ho-elim-sort (-> tptp.rat tptp.rat Bool)) tptp.rat (@ho-elim-sort (-> tptp.rat Bool)))))
0.19/0.51	(define @t7 () (const 2 (-> (@ho-elim-sort (-> tptp.rat Bool)) tptp.rat Bool)))
0.19/0.51	(define @t8 () (const 3 (@ho-elim-sort (-> tptp.rat tptp.rat Bool))))
0.19/0.51	(define @t9 () (const 4 (@ho-elim-sort (-> tptp.rat tptp.rat Bool))))
0.19/0.51	(define @t10 () (forall @t1 (or (_ @t7 (_ @t6 @t9 @v.0.Xx0) @v.0.Xy0) (_ @t7 (_ @t6 @t8 @v.0.Xx0) @v.0.Xy0) (_ @t7 (_ @t6 @t5 @v.0.Xx0) @v.0.Xy0))))
0.19/0.51	(define @t11 () (forall @t1 (or (tptp.is @v.0.Xx0 @v.0.Xy0) (tptp.more @v.0.Xx0 @v.0.Xy0) (tptp.less @v.0.Xx0 @v.0.Xy0))))
0.19/0.51	(define @t12 () (_ @t7 (_ @t6 @t8 tptp.x0) tptp.y0))
0.19/0.51	(define @t13 () (_ @t7 (_ @t6 @t9 tptp.x0) tptp.y0))
0.19/0.51	(define @t14 () (_ @t7 (_ @t6 @t5 tptp.x0) tptp.y0))
0.19/0.51	(define @t15 () (or @t13 @t12 @t14))
0.19/0.51	(define @t16 () (not @t15))
0.19/0.51	(assume @p1 @t2)
0.19/0.51	(assume @p2 @t3)
0.19/0.51	(assume @p3 (forall (@list @v.0.Xa) (=> (not (not @v.0.Xa)) @v.0.Xa)))
0.19/0.51	(assume @p4 @t4)
0.19/0.51	(assume @p5 true)
0.19/0.51	; WARNING: add trust step for TRUST
0.19/0.51	; trust TRUST
0.19/0.51	(step @p6 :rule trust :premises () :args ((= @t11 @t10)))
0.19/0.51	; WARNING: add trust step for MACRO_SR_EQ_INTRO
0.19/0.51	; trust MACRO_SR_EQ_INTRO
0.19/0.51	(step @p7 :rule trust :premises () :args ((= @t2 @t11)))
0.19/0.51	(step @p8 :rule trans :premises (@p7 @p6))
0.19/0.51	(step @p9 :rule eq_resolve :premises (@p1 @p8))
0.19/0.51	; trust TRUST
0.19/0.51	(step @p10 :rule trust :premises () :args ((= @t4 (not @t12))))
0.19/0.51	(step @p11 :rule eq_resolve :premises (@p4 @p10))
0.19/0.51	; trust TRUST
0.19/0.51	(step @p12 :rule trust :premises () :args ((= @t3 (not (=> (not @t14) @t13)))))
0.19/0.51	(step @p13 :rule eq_resolve :premises (@p2 @p12))
0.19/0.51	(step @p14 :rule not_implies_elim1 :premises (@p13))
0.19/0.51	(step @p15 :rule not_implies_elim2 :premises (@p13))
0.19/0.51	(step @p16 :rule cnf_or_pos :args (@t15))
0.19/0.51	(step @p17 :rule reordering :premises (@p16) :args ((or @t13 @t14 @t12 @t16)))
0.19/0.51	; WARNING: add trust step for MACRO_RESOLUTION_TRUST
0.19/0.51	; trust MACRO_RESOLUTION_TRUST
0.19/0.51	(step @p18 :rule trust :premises (@p17 @p15 @p14 @p11) :args (@t16))
0.19/0.51	(assume-push @p19 @t10)
0.19/0.51	(step @p20 :rule instantiate :premises (@p9) :args ((@list tptp.x0 tptp.y0)))
0.19/0.51	(step-pop @p24 :rule scope :premises (@p20))
0.19/0.51	(step @p21 :rule process_scope :premises (@p24) :args (@t15))
0.19/0.51	(step @p23 :rule implies_elim :premises (@p21))
0.19/0.51	; trust MACRO_RESOLUTION_TRUST
0.19/0.51	(step @p24 false :rule trust :premises (@p23 @p18 @p9) :args (false))
0.19/0.51	
0.19/0.51	% SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.EVEToGSM3X/cvc5---1.0.5_11620.smt2
0.19/0.51	% cvc5---1.0.5 exiting
0.19/0.52	% cvc5---1.0.5 exiting
0.19/0.52	EOF