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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU606^2 : TPTP v9.2.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n024.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 08:52:23 AM UTC 2026

% Result   : Theorem 0.14s 0.35s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : SEU606^2 : TPTP v9.2.1. Released v3.7.0.
% 0.00/0.06  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.25  % Computer : n024.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Tue Jun  2 12:43:15 EDT 2026
% 0.06/0.25  % CPUTime  : 
% 0.06/0.32  %----Proving TH0
% 0.14/0.35  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.14/0.35  % SZS status Theorem
% 0.14/0.35  % SZS output start Proof
% 0.14/0.35  (
% 0.14/0.35  (declare-sort $$unsorted 0)
% 0.14/0.35  (declare-const tptp.setminusERneg Bool)
% 0.14/0.35  (declare-const tptp.setminus (-> $$unsorted $$unsorted $$unsorted))
% 0.14/0.35  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.14/0.35  (define @t1 () (@var "B" $$unsorted))
% 0.14/0.35  (define @t2 () (@var "Xx" $$unsorted))
% 0.14/0.35  (define @t3 () (_ tptp.in @t2))
% 0.14/0.35  (define @t4 () (_ @t3 @t1))
% 0.14/0.35  (define @t5 () (@var "A" $$unsorted))
% 0.14/0.35  (define @t6 () (_ @t3 @t5))
% 0.14/0.35  (define @t7 () (=> @t6 @t4))
% 0.14/0.35  (define @t8 () (_ (_ tptp.setminus @t5) @t1))
% 0.14/0.35  (define @t9 () (_ @t3 @t8))
% 0.14/0.35  (define @t10 () (not @t9))
% 0.14/0.35  (define @t11 () (@list @t5 @t1 @t2))
% 0.14/0.35  (define @t12 () (forall @t11 (=> @t10 @t7)))
% 0.14/0.35  (define @t13 () (= tptp.setminusERneg @t12))
% 0.14/0.35  (define @t14 () (not @t6))
% 0.14/0.35  (define @t15 () (not @t4))
% 0.14/0.35  (define @t16 () (=> @t15 @t14))
% 0.14/0.35  (define @t17 () (forall @t11 (=> @t10 @t16)))
% 0.14/0.35  (define @t18 () (=> tptp.setminusERneg @t17))
% 0.14/0.35  (define @t19 () (not @t18))
% 0.14/0.35  (define @t20 () (tptp.in @t2 @t5))
% 0.14/0.35  (define @t21 () (not @t20))
% 0.14/0.35  (define @t22 () (tptp.in @t2 @t1))
% 0.14/0.35  (define @t23 () (tptp.setminus @t5 @t1))
% 0.14/0.35  (define @t24 () (tptp.in @t2 @t23))
% 0.14/0.35  (define @t25 () (or @t24 @t22 @t21))
% 0.14/0.35  (define @t26 () (forall @t11 @t25))
% 0.14/0.35  (define @t27 () (or @t9 @t14 @t4))
% 0.14/0.35  (define @t28 () (not @t10))
% 0.14/0.35  (define @t29 () (=> tptp.setminusERneg @t26))
% 0.14/0.35  (define @t30 () (or @t9 @t4 @t14))
% 0.14/0.35  (define @t31 () (or @t24 @t21 @t22))
% 0.14/0.35  (define @t32 () (forall @t11 @t31))
% 0.14/0.35  (define @t33 () (@list false))
% 0.14/0.35  (assume @p1 @t13)
% 0.14/0.35  (assume @p2 @t19)
% 0.14/0.35  (assume @p3 true)
% 0.14/0.35  (step @p4 :rule refl :args (@t26))
% 0.14/0.35  (step @p5 :rule refl :args (@t22))
% 0.14/0.35  (step @p6 :rule refl :args (@t4))
% 0.14/0.35  (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t4 @t22)))
% 0.14/0.35  (step @p8 :rule symm :premises (@p7))
% 0.14/0.35  (step @p9 :rule eq_resolve :premises (@p6 @p8))
% 0.14/0.35  (step @p10 :rule refl :args (@t20))
% 0.14/0.35  (step @p11 :rule refl :args (@t6))
% 0.14/0.35  (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t6 @t20)))
% 0.14/0.35  (step @p13 :rule symm :premises (@p12))
% 0.14/0.35  (step @p14 :rule eq_resolve :premises (@p11 @p13))
% 0.14/0.35  (step @p15 :rule cong :premises (@p14) :args (@t14))
% 0.14/0.35  (step @p16 :rule refl :args ((tptp.in @t2 @t8)))
% 0.14/0.35  (step @p17 :rule refl :args (@t23))
% 0.14/0.35  (step @p18 :rule refl :args (@t2))
% 0.14/0.35  (step @p19 :rule cong :premises (@p18 @p17) :args (@t24))
% 0.14/0.35  (step @p20 :rule trans :premises (@p19 @p16))
% 0.14/0.35  (step @p21 :rule refl :args (@t3))
% 0.14/0.35  (step @p22 :rule ho_cong :premises (@p21 @p17))
% 0.14/0.35  (step @p23 :rule cong :premises (@p22 @p20) :args ((= (_ @t3 @t23) @t24)))
% 0.14/0.35  (step @p24 :rule symm :premises (@p23))
% 0.14/0.35  (step @p25 :rule refl :args (@t9))
% 0.14/0.35  (step @p26 :rule eq_resolve :premises (@p25 @p24))
% 0.14/0.35  (step @p27 :rule refl :args (@t8))
% 0.14/0.35  (step @p28 :rule cong :premises (@p27 @p17) :args ((= @t8 @t23)))
% 0.14/0.35  (step @p29 :rule symm :premises (@p28))
% 0.14/0.35  (step @p30 :rule eq_resolve :premises (@p27 @p29))
% 0.14/0.35  (step @p31 :rule ho_cong :premises (@p21 @p30))
% 0.14/0.35  (step @p32 :rule trans :premises (@p31 @p26))
% 0.14/0.35  (step @p33 :rule nary_cong :premises (@p32 @p15 @p9) :args (@t27))
% 0.14/0.35  (step @p34 :rule cong :premises (@p33) :args ((forall @t11 @t27)))
% 0.14/0.35  (step @p35 :rule aci_norm :args ((= (or @t9 (or @t14 @t4)) @t27)))
% 0.14/0.35  (step @p36 :rule bool-impl-elim :args (@t6 @t4))
% 0.14/0.35  (step @p37 :rule nary_cong :premises (@p25 @p36) :args ((or @t9 @t7)))
% 0.14/0.35  (step @p38 :rule trans :premises (@p37 @p35))
% 0.14/0.35  (step @p39 :rule refl :args (@t7))
% 0.14/0.35  (step @p40 :rule bool-double-not-elim :args (@t9))
% 0.14/0.35  (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t28 @t7)))
% 0.14/0.35  (step @p42 :rule bool-impl-elim :args (@t10 @t7))
% 0.14/0.35  (step @p43 :rule trans :premises (@p42 @p41))
% 0.14/0.35  (step @p44 :rule trans :premises (@p43 @p38))
% 0.14/0.35  (step @p45 :rule cong :premises (@p44) :args (@t12))
% 0.14/0.35  (step @p46 :rule trans :premises (@p45 @p34))
% 0.14/0.35  (step @p47 :rule refl :args (tptp.setminusERneg))
% 0.14/0.35  (step @p48 :rule cong :premises (@p47 @p46) :args (@t13))
% 0.14/0.35  (step @p49 :rule eq_resolve :premises (@p1 @p48))
% 0.14/0.35  (step @p50 :rule cong :premises (@p49 @p4) :args (@t29))
% 0.14/0.35  (step @p51 :rule cong :premises (@p50) :args ((not @t29)))
% 0.14/0.35  (step @p52 :rule nary_cong :premises (@p32 @p9 @p15) :args (@t30))
% 0.14/0.35  (step @p53 :rule cong :premises (@p52) :args ((forall @t11 @t30)))
% 0.14/0.35  (step @p54 :rule aci_norm :args ((= (or @t9 (or @t4 @t14)) @t30)))
% 0.14/0.35  (step @p55 :rule refl :args (@t14))
% 0.14/0.35  (step @p56 :rule bool-double-not-elim :args (@t4))
% 0.14/0.35  (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or (not @t15) @t14)))
% 0.14/0.35  (step @p58 :rule bool-impl-elim :args (@t15 @t14))
% 0.14/0.35  (step @p59 :rule trans :premises (@p58 @p57))
% 0.14/0.35  (step @p60 :rule nary_cong :premises (@p25 @p59) :args ((or @t9 @t16)))
% 0.14/0.35  (step @p61 :rule trans :premises (@p60 @p54))
% 0.14/0.35  (step @p62 :rule refl :args (@t16))
% 0.14/0.35  (step @p63 :rule nary_cong :premises (@p40 @p62) :args ((or @t28 @t16)))
% 0.14/0.35  (step @p64 :rule bool-impl-elim :args (@t10 @t16))
% 0.14/0.35  (step @p65 :rule trans :premises (@p64 @p63))
% 0.14/0.35  (step @p66 :rule trans :premises (@p65 @p61))
% 0.14/0.35  (step @p67 :rule cong :premises (@p66) :args (@t17))
% 0.14/0.35  (step @p68 :rule trans :premises (@p67 @p53))
% 0.14/0.35  (step @p69 :rule cong :premises (@p47 @p68) :args (@t18))
% 0.14/0.35  (step @p70 :rule cong :premises (@p69) :args (@t19))
% 0.14/0.35  (step @p71 :rule trans :premises (@p70 @p51))
% 0.14/0.35  (step @p72 :rule eq_resolve :premises (@p2 @p71))
% 0.14/0.35  (step @p73 :rule not_implies_elim1 :premises (@p72))
% 0.14/0.35  (step @p74 :rule aci_norm :args ((= @t25 @t31)))
% 0.14/0.35  (step @p75 :rule cong :premises (@p74) :args (@t26))
% 0.14/0.35  (step @p76 :rule true_intro :premises (@p75))
% 0.14/0.35  (step @p77 :rule eq-symm :args (@t32 @t26))
% 0.14/0.35  (step @p78 :rule trans :premises (@p77 @p76))
% 0.14/0.35  (step @p79 :rule true_elim :premises (@p78))
% 0.14/0.35  (step @p80 :rule equiv_elim1 :premises (@p79))
% 0.14/0.35  (step @p81 :rule reordering :premises (@p80) :args ((or @t26 (not @t32))))
% 0.14/0.35  (step @p82 :rule chain_m_resolution :premises (@p81 @p73) :args (@t26 @t33 (@list @t32)))
% 0.14/0.35  (step @p83 :rule not_implies_elim2 :premises (@p72))
% 0.14/0.35  (step @p84 false :rule chain_m_resolution :premises (@p83 @p82) :args (false @t33 (@list @t26)))
% 0.14/0.35  )
% 0.14/0.35  % SZS output end Proof
% 0.14/0.35  % cvc5 exiting
%------------------------------------------------------------------------------