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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU303+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 08:51:18 AM UTC 2026

% Result   : Theorem 0.40s 0.56s
% Output   : Proof 0.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU303+1 : TPTP v9.2.1. Released v3.3.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.34  % Computer : n009.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit : 300
% 0.18/0.34  % WCLimit  : 300
% 0.18/0.34  % DateTime : Tue Jun  2 16:54:29 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.29/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.40/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.40/0.56  % SZS status Theorem
% 0.40/0.56  % SZS output start Proof
% 0.40/0.56  (
% 0.40/0.56  (declare-sort $$unsorted 0)
% 0.40/0.56  (declare-const tptp.relation_dom (-> $$unsorted $$unsorted))
% 0.40/0.56  (declare-const tptp.relation_rng (-> $$unsorted $$unsorted))
% 0.40/0.56  (declare-const tptp.relation (-> $$unsorted Bool))
% 0.40/0.56  (declare-const tptp.function (-> $$unsorted Bool))
% 0.40/0.56  (declare-const tptp.finite (-> $$unsorted Bool))
% 0.40/0.56  (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted))
% 0.40/0.56  (define @t1 () (@var "B" $$unsorted))
% 0.40/0.56  (define @t2 () (@var "A" $$unsorted))
% 0.40/0.56  (define @t3 () (tptp.finite (tptp.relation_image @t2 @t1)))
% 0.40/0.56  (define @t4 () (tptp.finite @t1))
% 0.40/0.56  (define @t5 () (tptp.function @t2))
% 0.40/0.56  (define @t6 () (tptp.relation @t2))
% 0.40/0.56  (define @t7 () (and @t6 @t5 @t4))
% 0.40/0.56  (define @t8 () (@list @t2 @t1))
% 0.40/0.56  (define @t9 () (forall @t8 (=> @t7 @t3)))
% 0.40/0.56  (define @t10 () (and @t6 @t5))
% 0.40/0.56  (define @t11 () (@list @t2))
% 0.40/0.56  (define @t12 () (tptp.relation_rng @t2))
% 0.40/0.56  (define @t13 () (tptp.relation_dom @t2))
% 0.40/0.56  (define @t14 () (= (tptp.relation_image @t2 @t13) @t12))
% 0.40/0.56  (define @t15 () (forall @t11 (=> @t6 @t14)))
% 0.40/0.56  (define @t16 () (tptp.finite @t12))
% 0.40/0.56  (define @t17 () (tptp.finite @t13))
% 0.40/0.56  (define @t18 () (=> @t17 @t16))
% 0.40/0.56  (define @t19 () (forall @t11 (=> @t10 @t18)))
% 0.40/0.56  (define @t20 () (not @t19))
% 0.40/0.56  (define @t21 () (not @t4))
% 0.40/0.56  (define @t22 () (not @t5))
% 0.40/0.56  (define @t23 () (not @t6))
% 0.40/0.56  (define @t24 () (or @t23 @t22 @t21 @t3))
% 0.40/0.56  (define @t25 () (or @t23 @t22 @t21))
% 0.40/0.56  (define @t26 () (not @t17))
% 0.40/0.56  (define @t27 () (or @t23 @t22 @t26 @t16))
% 0.40/0.56  (define @t28 () (@quantifiers_skolemize (forall @t11 @t27) 0))
% 0.40/0.56  (define @t29 () (tptp.relation_rng @t28))
% 0.40/0.56  (define @t30 () (tptp.finite @t29))
% 0.40/0.56  (define @t31 () (tptp.relation_dom @t28))
% 0.40/0.56  (define @t32 () (tptp.finite @t31))
% 0.40/0.56  (define @t33 () (not @t32))
% 0.40/0.56  (define @t34 () (tptp.function @t28))
% 0.40/0.56  (define @t35 () (not @t34))
% 0.40/0.56  (define @t36 () (tptp.relation @t28))
% 0.40/0.56  (define @t37 () (not @t36))
% 0.40/0.56  (define @t38 () (or @t37 @t35 @t33 @t30))
% 0.40/0.56  (define @t39 () (@list true))
% 0.40/0.56  (define @t40 () (@list @t38))
% 0.40/0.56  (define @t41 () (tptp.relation_image @t28 @t31))
% 0.40/0.56  (define @t42 () (or @t37 (= @t41 @t29)))
% 0.40/0.56  (define @t43 () (forall @t11 (or @t23 @t14)))
% 0.40/0.56  (define @t44 () (= @t29 @t41))
% 0.40/0.56  (define @t45 () (or @t37 @t44))
% 0.40/0.56  (define @t46 () (tptp.finite @t41))
% 0.40/0.56  (define @t47 () (or @t37 @t35 @t33 @t46))
% 0.40/0.56  (define @t48 () (not @t47))
% 0.40/0.56  (define @t49 () (forall @t8 @t24))
% 0.40/0.56  (assume @p1 true)
% 0.40/0.56  (assume @p2 @t9)
% 0.40/0.56  (assume @p3 (exists @t11 @t10))
% 0.40/0.56  (assume @p4 @t15)
% 0.40/0.56  (assume @p5 (forall @t8 (=> (and (tptp.relation @t1) (tptp.function @t1)) (=> (tptp.finite @t2) (tptp.finite (tptp.relation_image @t1 @t2))))))
% 0.40/0.56  (assume @p6 @t20)
% 0.40/0.56  (step @p7 :rule aci_norm :args ((= (or @t25 @t3) @t24)))
% 0.40/0.56  (step @p8 :rule refl :args (@t3))
% 0.40/0.56  (step @p9 :rule aci_norm :args ((= (or @t23 (or @t22 @t21)) @t25)))
% 0.40/0.56  (step @p10 :rule bool-and-de-morgan :args (@t5 @t4 true))
% 0.40/0.56  (step @p11 :rule refl :args (@t23))
% 0.40/0.56  (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or @t23 (not (and @t5 @t4)))))
% 0.40/0.56  (step @p13 :rule bool-and-de-morgan :args (@t6 @t5 (and @t4)))
% 0.40/0.56  (step @p14 :rule trans :premises (@p13 @p12))
% 0.40/0.56  (step @p15 :rule trans :premises (@p14 @p9))
% 0.40/0.56  (step @p16 :rule nary_cong :premises (@p15 @p8) :args ((or (not @t7) @t3)))
% 0.40/0.56  (step @p17 :rule trans :premises (@p16 @p7))
% 0.40/0.56  (step @p18 :rule bool-impl-elim :args (@t7 @t3))
% 0.40/0.56  (step @p19 :rule trans :premises (@p18 @p17))
% 0.40/0.56  (step @p20 :rule cong :premises (@p19) :args (@t9))
% 0.40/0.56  (step @p21 :rule eq_resolve :premises (@p2 @p20))
% 0.40/0.56  (step @p22 :rule aci_norm :args ((= (or (or @t23 @t22) (or @t26 @t16)) @t27)))
% 0.40/0.56  (step @p23 :rule bool-impl-elim :args (@t17 @t16))
% 0.40/0.56  (step @p24 :rule bool-and-de-morgan :args (@t6 @t5 true))
% 0.40/0.56  (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or (not @t10) @t18)))
% 0.40/0.56  (step @p26 :rule trans :premises (@p25 @p22))
% 0.40/0.56  (step @p27 :rule bool-impl-elim :args (@t10 @t18))
% 0.40/0.56  (step @p28 :rule trans :premises (@p27 @p26))
% 0.40/0.56  (step @p29 :rule cong :premises (@p28) :args (@t19))
% 0.40/0.56  (step @p30 :rule cong :premises (@p29) :args (@t20))
% 0.40/0.56  (step @p31 :rule eq_resolve :premises (@p6 @p30))
% 0.40/0.56  (step @p32 :rule skolemize :premises (@p31))
% 0.40/0.56  (step @p33 :rule cnf_or_neg :args (@t38 3))
% 0.40/0.56  (step @p34 :rule chain_m_resolution :premises (@p33 @p32) :args ((not @t30) @t39 @t40))
% 0.40/0.56  (step @p35 :rule false_intro :premises (@p34))
% 0.40/0.56  (step @p36 :rule bool-impl-elim :args (@t6 @t14))
% 0.40/0.56  (step @p37 :rule cong :premises (@p36) :args (@t15))
% 0.40/0.56  (step @p38 :rule eq_resolve :premises (@p4 @p37))
% 0.40/0.56  (step @p39 :rule eq-symm :args (@t41 @t29))
% 0.40/0.56  (step @p40 :rule refl :args (@t37))
% 0.40/0.56  (step @p41 :rule nary_cong :premises (@p40 @p39) :args (@t42))
% 0.40/0.56  (step @p42 :rule refl :args (@t43))
% 0.40/0.56  (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t43 @t42)))
% 0.40/0.56  (assume-push @p86 @t43)
% 0.40/0.56  (step @p45 :rule instantiate :premises (@p38) :args ((@list @t28)))
% 0.40/0.56  (step-pop @p87 :rule scope :premises (@p45))
% 0.40/0.56  (step @p46 :rule process_scope :premises (@p87) :args (@t42))
% 0.40/0.56  (step @p48 :rule eq_resolve :premises (@p46 @p43))
% 0.40/0.56  (step @p49 :rule implies_elim :premises (@p48))
% 0.40/0.56  (step @p50 :rule chain_m_resolution :premises (@p49 @p38) :args (@t45 (@list false) (@list @t43)))
% 0.40/0.56  (step @p51 :rule bool-double-not-elim :args (@t36))
% 0.40/0.56  (step @p52 :rule refl :args (@t38))
% 0.40/0.56  (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t38 (not @t37))))
% 0.40/0.56  (step @p54 :rule cnf_or_neg :args (@t38 0))
% 0.40/0.56  (step @p55 :rule eq_resolve :premises (@p54 @p53))
% 0.40/0.56  (step @p56 :rule reordering :premises (@p55) :args ((or @t36 @t38)))
% 0.40/0.56  (step @p57 :rule chain_m_resolution :premises (@p56 @p32) :args (@t36 @t39 @t40))
% 0.40/0.56  (step @p58 :rule cnf_or_pos :args (@t45))
% 0.40/0.56  (step @p59 :rule reordering :premises (@p58) :args ((or @t37 @t44 (not @t45))))
% 0.40/0.56  (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p50) :args (@t44 (@list false false) (@list @t36 @t45)))
% 0.40/0.56  (step @p61 :rule symm :premises (@p60))
% 0.40/0.56  (step @p62 :rule cong :premises (@p61) :args (@t46))
% 0.40/0.56  (step @p63 :rule trans :premises (@p62 @p35))
% 0.40/0.56  (step @p64 :rule false_elim :premises (@p63))
% 0.40/0.56  (step @p65 :rule bool-double-not-elim :args (@t32))
% 0.40/0.56  (step @p66 :rule nary_cong :premises (@p52 @p65) :args ((or @t38 (not @t33))))
% 0.40/0.56  (step @p67 :rule cnf_or_neg :args (@t38 2))
% 0.40/0.56  (step @p68 :rule eq_resolve :premises (@p67 @p66))
% 0.40/0.56  (step @p69 :rule reordering :premises (@p68) :args ((or @t32 @t38)))
% 0.40/0.56  (step @p70 :rule chain_m_resolution :premises (@p69 @p32) :args (@t32 @t39 @t40))
% 0.40/0.56  (step @p71 :rule bool-double-not-elim :args (@t34))
% 0.40/0.56  (step @p72 :rule nary_cong :premises (@p52 @p71) :args ((or @t38 (not @t35))))
% 0.40/0.56  (step @p73 :rule cnf_or_neg :args (@t38 1))
% 0.40/0.56  (step @p74 :rule eq_resolve :premises (@p73 @p72))
% 0.40/0.56  (step @p75 :rule reordering :premises (@p74) :args ((or @t34 @t38)))
% 0.40/0.56  (step @p76 :rule chain_m_resolution :premises (@p75 @p32) :args (@t34 @t39 @t40))
% 0.40/0.56  (step @p77 :rule cnf_or_pos :args (@t47))
% 0.40/0.56  (step @p78 :rule reordering :premises (@p77) :args ((or @t37 @t35 @t33 @t46 @t48)))
% 0.40/0.56  (step @p79 :rule chain_m_resolution :premises (@p78 @p57 @p76 @p70 @p64) :args (@t48 (@list false false false true) (@list @t36 @t34 @t32 @t46)))
% 0.40/0.56  (assume-push @p88 @t49)
% 0.40/0.56  (step @p81 :rule instantiate :premises (@p21) :args ((@list @t28 @t31)))
% 0.40/0.56  (step-pop @p89 :rule scope :premises (@p81))
% 0.40/0.56  (step @p82 :rule process_scope :premises (@p89) :args (@t47))
% 0.40/0.56  (step @p84 :rule implies_elim :premises (@p82))
% 0.40/0.56  (step @p85 false :rule chain_m_resolution :premises (@p84 @p79 @p21) :args (false (@list true false) (@list @t47 @t49)))
% 0.40/0.56  )
% 0.40/0.56  % SZS output end Proof
% 0.40/0.56  % cvc5 exiting
%------------------------------------------------------------------------------