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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : CSR122^1 : TPTP v9.2.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:13:00 AM UTC 2026

% Result   : Theorem 0.38s 0.56s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR122^1 : TPTP v9.2.1. Released v4.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n019.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Mon Jun  1 21:57:04 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.28/0.50  %----Proving TH0
% 0.38/0.56  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.38/0.56  % SZS status Theorem
% 0.38/0.56  % SZS output start Proof
% 0.38/0.56  (
% 0.38/0.56  (declare-sort $$unsorted 0)
% 0.38/0.56  (declare-const tptp.lYearFn_THFTYPE_IiiI (-> $$unsorted $$unsorted))
% 0.38/0.56  (declare-const tptp.n2009_THFTYPE_i $$unsorted)
% 0.38/0.56  (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool))
% 0.38/0.56  (declare-const tptp.lMary_THFTYPE_i $$unsorted)
% 0.38/0.56  (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool))
% 0.38/0.56  (declare-const tptp.lSue_THFTYPE_i $$unsorted)
% 0.38/0.56  (declare-const tptp.lBill_THFTYPE_i $$unsorted)
% 0.38/0.56  (define @t1 () (_ (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i) tptp.lBill_THFTYPE_i))
% 0.38/0.56  (define @t2 () (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i))
% 0.38/0.56  (define @t3 () (@var "X" $$unsorted))
% 0.38/0.56  (define @t4 () (_ (_ tptp.holdsDuring_THFTYPE_IiooI @t3) true))
% 0.38/0.56  (define @t5 () (@list @t3))
% 0.38/0.56  (define @t6 () (forall @t5 @t4))
% 0.38/0.56  (define @t7 () (and @t2 @t1))
% 0.38/0.56  (define @t8 () (_ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i))
% 0.38/0.56  (define @t9 () (_ tptp.holdsDuring_THFTYPE_IiooI @t8))
% 0.38/0.56  (define @t10 () (not (_ @t9 @t7)))
% 0.38/0.56  (define @t11 () (@purify @t7))
% 0.38/0.56  (define @t12 () (tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i))
% 0.38/0.56  (define @t13 () (tptp.holdsDuring_THFTYPE_IiooI @t12 @t11))
% 0.38/0.56  (define @t14 () (= @t7 @t11))
% 0.38/0.56  (define @t15 () (tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i tptp.lBill_THFTYPE_i))
% 0.38/0.56  (define @t16 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i))
% 0.38/0.56  (define @t17 () (and @t15 @t16))
% 0.38/0.56  (define @t18 () (@list false))
% 0.38/0.56  (define @t19 () (@purify true))
% 0.38/0.56  (define @t20 () (tptp.holdsDuring_THFTYPE_IiooI @t12 @t19))
% 0.38/0.56  (define @t21 () (tptp.holdsDuring_THFTYPE_IiooI @t3 true))
% 0.38/0.56  (define @t22 () (tptp.holdsDuring_THFTYPE_IiooI @t12 true))
% 0.38/0.56  (define @t23 () (forall @t5 @t21))
% 0.38/0.56  (assume @p1 @t1)
% 0.38/0.56  (assume @p2 @t2)
% 0.38/0.56  (assume @p3 @t6)
% 0.38/0.56  (assume @p4 @t10)
% 0.38/0.56  (assume @p5 true)
% 0.38/0.56  (step @p6 :rule evaluate :args ((= true false)))
% 0.38/0.56  (step @p7 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t8 @t11)))
% 0.38/0.56  (step @p8 :rule refl :args (@t11))
% 0.38/0.56  (step @p9 :rule refl :args (@t12))
% 0.38/0.56  (step @p10 :rule cong :premises (@p9 @p8) :args (@t13))
% 0.38/0.56  (step @p11 :rule trans :premises (@p10 @p7))
% 0.38/0.56  (step @p12 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI))
% 0.38/0.56  (step @p13 :rule ho_cong :premises (@p12 @p9))
% 0.38/0.56  (step @p14 :rule ho_cong :premises (@p13 @p8))
% 0.38/0.56  (step @p15 :rule cong :premises (@p14 @p11) :args ((= (_ (_ tptp.holdsDuring_THFTYPE_IiooI @t12) @t11) @t13)))
% 0.38/0.56  (step @p16 :rule symm :premises (@p15))
% 0.38/0.56  (step @p17 :rule refl :args ((_ @t9 @t11)))
% 0.38/0.56  (step @p18 :rule eq_resolve :premises (@p17 @p16))
% 0.38/0.56  (step @p19 :rule eq-refl :args (@t7))
% 0.38/0.56  (step @p20 :rule skolem_intro :args (@t11))
% 0.38/0.56  (step @p21 :rule refl :args (@t7))
% 0.38/0.56  (step @p22 :rule cong :premises (@p21 @p20) :args (@t14))
% 0.38/0.56  (step @p23 :rule trans :premises (@p22 @p19))
% 0.38/0.56  (step @p24 :rule true_elim :premises (@p23))
% 0.38/0.56  (step @p25 :rule refl :args (@t8))
% 0.38/0.56  (step @p26 :rule cong :premises (@p25 @p9) :args ((= @t8 @t12)))
% 0.38/0.56  (step @p27 :rule symm :premises (@p26))
% 0.38/0.56  (step @p28 :rule eq_resolve :premises (@p25 @p27))
% 0.38/0.56  (step @p29 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI))
% 0.38/0.56  (step @p30 :rule ho_cong :premises (@p29 @p28))
% 0.38/0.56  (step @p31 :rule ho_cong :premises (@p30 @p24))
% 0.38/0.56  (step @p32 :rule trans :premises (@p31 @p18))
% 0.38/0.56  (step @p33 :rule cong :premises (@p32) :args (@t10))
% 0.38/0.56  (step @p34 :rule eq_resolve :premises (@p4 @p33))
% 0.38/0.56  (step @p35 :rule false_intro :premises (@p34))
% 0.38/0.56  (step @p36 :rule refl :args (@t15))
% 0.38/0.56  (step @p37 :rule refl :args (@t2))
% 0.38/0.56  (step @p38 :rule cong :premises (@p37 @p36) :args ((= @t2 @t15)))
% 0.38/0.56  (step @p39 :rule symm :premises (@p38))
% 0.38/0.56  (step @p40 :rule eq_resolve :premises (@p37 @p39))
% 0.38/0.56  (step @p41 :rule eq_resolve :premises (@p2 @p40))
% 0.38/0.56  (step @p42 :rule refl :args (@t16))
% 0.38/0.56  (step @p43 :rule refl :args (@t1))
% 0.38/0.56  (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t1 @t16)))
% 0.38/0.56  (step @p45 :rule symm :premises (@p44))
% 0.38/0.56  (step @p46 :rule eq_resolve :premises (@p43 @p45))
% 0.38/0.56  (step @p47 :rule eq_resolve :premises (@p1 @p46))
% 0.38/0.56  (step @p48 :rule cnf_and_neg :args (@t17))
% 0.38/0.56  (step @p49 :rule reordering :premises (@p48) :args ((or @t17 (not @t16) (not @t15))))
% 0.38/0.56  (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p41) :args (@t17 (@list false false) (@list @t16 @t15)))
% 0.38/0.56  (step @p51 :rule eq-symm :args (@t17 @t11))
% 0.38/0.56  (step @p52 :rule refl :args (@t11))
% 0.38/0.56  (step @p53 :rule nary_cong :premises (@p40 @p46) :args (@t7))
% 0.38/0.56  (step @p54 :rule cong :premises (@p53 @p52) :args (@t14))
% 0.38/0.56  (step @p55 :rule trans :premises (@p54 @p51))
% 0.38/0.56  (step @p56 :rule eq-symm :args (@t11 @t7))
% 0.38/0.56  (step @p57 :rule trans :premises (@p56 @p55))
% 0.38/0.56  (step @p58 :rule eq_resolve :premises (@p20 @p57))
% 0.38/0.56  (step @p59 :rule equiv_elim2 :premises (@p58))
% 0.38/0.56  (step @p60 :rule chain_m_resolution :premises (@p59 @p50) :args (@t11 @t18 (@list @t17)))
% 0.38/0.56  (step @p61 :rule true_intro :premises (@p60))
% 0.38/0.56  (step @p62 :rule symm :premises (@p61))
% 0.38/0.56  (step @p63 :rule skolem_intro :args (@t19))
% 0.38/0.56  (step @p64 :rule trans :premises (@p63 @p62))
% 0.38/0.56  (step @p65 :rule refl :args (@t12))
% 0.38/0.56  (step @p66 :rule cong :premises (@p65 @p64) :args (@t20))
% 0.38/0.56  (step @p67 :rule refl :args (@t21))
% 0.38/0.56  (step @p68 :rule refl :args (@t4))
% 0.38/0.56  (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t4 @t21)))
% 0.38/0.56  (step @p70 :rule symm :premises (@p69))
% 0.38/0.56  (step @p71 :rule eq_resolve :premises (@p68 @p70))
% 0.38/0.56  (step @p72 :rule cong :premises (@p71) :args (@t6))
% 0.38/0.56  (step @p73 :rule eq_resolve :premises (@p3 @p72))
% 0.38/0.56  (step @p74 :rule symm :premises (@p63))
% 0.38/0.56  (step @p75 :rule cong :premises (@p65 @p74) :args (@t22))
% 0.38/0.56  (step @p76 :rule refl :args (@t23))
% 0.38/0.56  (step @p77 :rule cong :premises (@p76 @p75) :args ((=> @t23 @t22)))
% 0.38/0.56  (assume-push @p89 @t23)
% 0.38/0.56  (step @p79 :rule instantiate :premises (@p73) :args ((@list @t12)))
% 0.38/0.56  (step-pop @p90 :rule scope :premises (@p79))
% 0.38/0.56  (step @p80 :rule process_scope :premises (@p90) :args (@t22))
% 0.38/0.56  (step @p82 :rule eq_resolve :premises (@p80 @p77))
% 0.38/0.56  (step @p83 :rule implies_elim :premises (@p82))
% 0.38/0.56  (step @p84 :rule chain_m_resolution :premises (@p83 @p73) :args (@t20 @t18 (@list @t23)))
% 0.38/0.56  (step @p85 :rule true_intro :premises (@p84))
% 0.38/0.56  (step @p86 :rule symm :premises (@p85))
% 0.38/0.56  (step @p87 :rule trans :premises (@p86 @p66 @p35))
% 0.38/0.56  (step @p88 false :rule eq_resolve :premises (@p87 @p6))
% 0.38/0.56  )
% 0.38/0.56  % SZS output end Proof
% 0.38/0.56  % cvc5 exiting
%------------------------------------------------------------------------------