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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : CSR125^1 : TPTP v9.2.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n021.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 08:13:01 AM UTC 2026

% Result   : Theorem 0.31s 0.54s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR125^1 : TPTP v9.2.1. Released v4.1.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n021.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Mon Jun  1 21:58:19 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.31/0.48  %----Proving TH0
% 0.31/0.54  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.31/0.54  % SZS status Theorem
% 0.31/0.54  % SZS output start Proof
% 0.31/0.54  (
% 0.31/0.54  (declare-sort $$unsorted 0)
% 0.31/0.54  (declare-const tptp.holdsDuring_THFTYPE_IiooI (-> $$unsorted Bool Bool))
% 0.31/0.54  (declare-const tptp.lYearFn_THFTYPE_IiiI (-> $$unsorted $$unsorted))
% 0.31/0.54  (declare-const tptp.n2009_THFTYPE_i $$unsorted)
% 0.31/0.54  (declare-const tptp.lMary_THFTYPE_i $$unsorted)
% 0.31/0.54  (declare-const tptp.likes_THFTYPE_IiioI (-> $$unsorted $$unsorted Bool))
% 0.31/0.54  (declare-const tptp.lSue_THFTYPE_i $$unsorted)
% 0.31/0.54  (declare-const tptp.lBill_THFTYPE_i $$unsorted)
% 0.31/0.54  (define @t1 () (_ tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i))
% 0.31/0.54  (define @t2 () (_ @t1 tptp.lBill_THFTYPE_i))
% 0.31/0.54  (define @t3 () (@var "X" $$unsorted))
% 0.31/0.54  (define @t4 () (_ @t1 @t3))
% 0.31/0.54  (define @t5 () (not @t4))
% 0.31/0.54  (define @t6 () (_ tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i))
% 0.31/0.54  (define @t7 () (_ tptp.holdsDuring_THFTYPE_IiooI @t6))
% 0.31/0.54  (define @t8 () (_ @t7 @t5))
% 0.31/0.54  (define @t9 () (@list @t3))
% 0.31/0.54  (define @t10 () (forall @t9 @t8))
% 0.31/0.54  (define @t11 () (not (_ @t7 false)))
% 0.31/0.54  (define @t12 () (@purify false))
% 0.31/0.54  (define @t13 () (tptp.lYearFn_THFTYPE_IiiI tptp.n2009_THFTYPE_i))
% 0.31/0.54  (define @t14 () (tptp.holdsDuring_THFTYPE_IiooI @t13 @t12))
% 0.31/0.54  (define @t15 () (_ tptp.holdsDuring_THFTYPE_IiooI @t13))
% 0.31/0.54  (define @t16 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i tptp.lBill_THFTYPE_i))
% 0.31/0.54  (define @t17 () (not @t16))
% 0.31/0.54  (define @t18 () (@purify @t17))
% 0.31/0.54  (define @t19 () (@list false))
% 0.31/0.54  (define @t20 () (tptp.holdsDuring_THFTYPE_IiooI @t13 @t18))
% 0.31/0.54  (define @t21 () (tptp.likes_THFTYPE_IiioI tptp.lSue_THFTYPE_i @t3))
% 0.31/0.54  (define @t22 () (not @t21))
% 0.31/0.54  (define @t23 () (tptp.holdsDuring_THFTYPE_IiooI @t13 @t22))
% 0.31/0.54  (define @t24 () (tptp.holdsDuring_THFTYPE_IiooI @t13 @t17))
% 0.31/0.54  (define @t25 () (forall @t9 @t23))
% 0.31/0.54  (assume @p1 @t2)
% 0.31/0.54  (assume @p2 (_ (_ tptp.likes_THFTYPE_IiioI tptp.lMary_THFTYPE_i) tptp.lBill_THFTYPE_i))
% 0.31/0.54  (assume @p3 @t10)
% 0.31/0.54  (assume @p4 @t11)
% 0.31/0.54  (assume @p5 true)
% 0.31/0.54  (step @p6 :rule evaluate :args ((= true false)))
% 0.31/0.54  (step @p7 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t6 @t12)))
% 0.31/0.54  (step @p8 :rule refl :args (@t12))
% 0.31/0.54  (step @p9 :rule refl :args (@t13))
% 0.31/0.54  (step @p10 :rule cong :premises (@p9 @p8) :args (@t14))
% 0.31/0.54  (step @p11 :rule trans :premises (@p10 @p7))
% 0.31/0.54  (step @p12 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI))
% 0.31/0.54  (step @p13 :rule ho_cong :premises (@p12 @p9))
% 0.31/0.54  (step @p14 :rule ho_cong :premises (@p13 @p8))
% 0.31/0.54  (step @p15 :rule cong :premises (@p14 @p11) :args ((= (_ @t15 @t12) @t14)))
% 0.31/0.54  (step @p16 :rule symm :premises (@p15))
% 0.31/0.54  (step @p17 :rule refl :args ((_ @t7 @t12)))
% 0.31/0.54  (step @p18 :rule eq_resolve :premises (@p17 @p16))
% 0.31/0.54  (step @p19 :rule evaluate :args ((not false)))
% 0.31/0.54  (step @p20 :rule skolem_intro :args (@t12))
% 0.31/0.54  (step @p21 :rule cong :premises (@p20) :args ((not @t12)))
% 0.31/0.54  (step @p22 :rule bool-eq-false :args (@t12))
% 0.31/0.54  (step @p23 :rule eq-symm :args (false @t12))
% 0.31/0.54  (step @p24 :rule trans :premises (@p23 @p22))
% 0.31/0.54  (step @p25 :rule trans :premises (@p24 @p21 @p19))
% 0.31/0.54  (step @p26 :rule true_elim :premises (@p25))
% 0.31/0.54  (step @p27 :rule refl :args (@t6))
% 0.31/0.54  (step @p28 :rule cong :premises (@p27 @p9) :args ((= @t6 @t13)))
% 0.31/0.54  (step @p29 :rule symm :premises (@p28))
% 0.31/0.54  (step @p30 :rule eq_resolve :premises (@p27 @p29))
% 0.31/0.54  (step @p31 :rule refl :args (tptp.holdsDuring_THFTYPE_IiooI))
% 0.31/0.54  (step @p32 :rule ho_cong :premises (@p31 @p30))
% 0.31/0.54  (step @p33 :rule ho_cong :premises (@p32 @p26))
% 0.31/0.54  (step @p34 :rule trans :premises (@p33 @p18))
% 0.31/0.54  (step @p35 :rule cong :premises (@p34) :args (@t11))
% 0.31/0.54  (step @p36 :rule eq_resolve :premises (@p4 @p35))
% 0.31/0.54  (step @p37 :rule false_intro :premises (@p36))
% 0.31/0.54  (step @p38 :rule refl :args (@t16))
% 0.31/0.54  (step @p39 :rule refl :args (@t2))
% 0.31/0.54  (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t2 @t16)))
% 0.31/0.54  (step @p41 :rule symm :premises (@p40))
% 0.31/0.54  (step @p42 :rule eq_resolve :premises (@p39 @p41))
% 0.31/0.54  (step @p43 :rule eq_resolve :premises (@p1 @p42))
% 0.31/0.54  (step @p44 :rule eq-refl :args (@t17))
% 0.31/0.54  (step @p45 :rule skolem_intro :args (@t18))
% 0.31/0.54  (step @p46 :rule refl :args (@t17))
% 0.31/0.54  (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t17 @t18)))
% 0.31/0.54  (step @p48 :rule trans :premises (@p47 @p44))
% 0.31/0.54  (step @p49 :rule true_elim :premises (@p48))
% 0.31/0.54  (step @p50 :rule equiv_elim2 :premises (@p49))
% 0.31/0.55  (step @p51 :rule chain_m_resolution :premises (@p50 @p43) :args ((not @t18) @t19 (@list @t16)))
% 0.31/0.55  (step @p52 :rule false_intro :premises (@p51))
% 0.31/0.55  (step @p53 :rule trans :premises (@p52 @p26))
% 0.31/0.55  (step @p54 :rule refl :args (@t13))
% 0.31/0.55  (step @p55 :rule cong :premises (@p54 @p53) :args (@t20))
% 0.31/0.55  (step @p56 :rule refl :args ((tptp.holdsDuring_THFTYPE_IiooI @t6 @t5)))
% 0.31/0.55  (step @p57 :rule refl :args (@t21))
% 0.31/0.55  (step @p58 :rule cong :premises (@p57) :args (@t22))
% 0.31/0.55  (step @p59 :rule cong :premises (@p9 @p58) :args (@t23))
% 0.31/0.55  (step @p60 :rule trans :premises (@p59 @p56))
% 0.31/0.55  (step @p61 :rule ho_cong :premises (@p13 @p58))
% 0.31/0.55  (step @p62 :rule cong :premises (@p61 @p60) :args ((= (_ @t15 @t22) @t23)))
% 0.31/0.55  (step @p63 :rule symm :premises (@p62))
% 0.31/0.55  (step @p64 :rule refl :args (@t8))
% 0.31/0.55  (step @p65 :rule eq_resolve :premises (@p64 @p63))
% 0.31/0.55  (step @p66 :rule refl :args (@t4))
% 0.31/0.55  (step @p67 :rule cong :premises (@p66 @p57) :args ((= @t4 @t21)))
% 0.31/0.55  (step @p68 :rule symm :premises (@p67))
% 0.31/0.55  (step @p69 :rule eq_resolve :premises (@p66 @p68))
% 0.31/0.55  (step @p70 :rule cong :premises (@p69) :args (@t5))
% 0.31/0.55  (step @p71 :rule eq_resolve :premises (@p27 @p29))
% 0.31/0.55  (step @p72 :rule ho_cong :premises (@p12 @p71))
% 0.31/0.55  (step @p73 :rule ho_cong :premises (@p72 @p70))
% 0.31/0.55  (step @p74 :rule trans :premises (@p73 @p65))
% 0.31/0.55  (step @p75 :rule cong :premises (@p74) :args (@t10))
% 0.31/0.55  (step @p76 :rule eq_resolve :premises (@p3 @p75))
% 0.31/0.55  (step @p77 :rule cong :premises (@p54 @p49) :args (@t24))
% 0.31/0.55  (step @p78 :rule refl :args (@t25))
% 0.31/0.55  (step @p79 :rule cong :premises (@p78 @p77) :args ((=> @t25 @t24)))
% 0.31/0.55  (assume-push @p91 @t25)
% 0.31/0.55  (step @p81 :rule instantiate :premises (@p76) :args ((@list tptp.lBill_THFTYPE_i)))
% 0.31/0.55  (step-pop @p92 :rule scope :premises (@p81))
% 0.31/0.55  (step @p82 :rule process_scope :premises (@p92) :args (@t24))
% 0.31/0.55  (step @p84 :rule eq_resolve :premises (@p82 @p79))
% 0.31/0.55  (step @p85 :rule implies_elim :premises (@p84))
% 0.31/0.55  (step @p86 :rule chain_m_resolution :premises (@p85 @p76) :args (@t20 @t19 (@list @t25)))
% 0.31/0.55  (step @p87 :rule true_intro :premises (@p86))
% 0.31/0.55  (step @p88 :rule symm :premises (@p87))
% 0.31/0.55  (step @p89 :rule trans :premises (@p88 @p55 @p37))
% 0.31/0.55  (step @p90 false :rule eq_resolve :premises (@p89 @p6))
% 0.31/0.55  )
% 0.31/0.55  % SZS output end Proof
% 0.31/0.55  % cvc5 exiting
%------------------------------------------------------------------------------